%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU678^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:52:42 AM UTC 2026 % Result : Theorem 160.14s 160.42s % Output : Proof 160.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU678^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:45:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 160.14/160.42 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 160.14/160.42 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 160.14/160.42 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 160.14/160.42 --- Run --ho-elim --full-saturate-quant at 18s... % 160.14/160.42 % SZS status Theorem % 160.14/160.42 % SZS output start Proof % 160.14/160.42 ( % 160.14/160.42 (declare-sort $$unsorted 0) % 160.14/160.42 (declare-const tptp.emptyset $$unsorted) % 160.14/160.42 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 160.14/160.42 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 160.14/160.42 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 160.14/160.42 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 160.14/160.42 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 160.14/160.42 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 160.14/160.42 (declare-const tptp.dpsetconstrERa Bool) % 160.14/160.42 (declare-const tptp.setOfPairsIsBReln Bool) % 160.14/160.42 (declare-const tptp.dpsetconstrI Bool) % 160.14/160.42 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 160.14/160.42 (declare-const tptp.ex1I Bool) % 160.14/160.42 (define tptp.singleton () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_2) (= _let_2 (_ (_ tptp.setadjoin _let_1) tptp.emptyset)))))))) % 160.14/160.42 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 160.14/160.42 (define tptp.breln () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (let ((_let_3 (@var "C" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (_ (_ tptp.subset _let_3) (_ (_ tptp.cartprod _let_2) _let_1))))))) % 160.14/160.42 (define tptp.func () (let ((_let_1 (@var "R" $$unsorted))) (let ((_let_2 (@var "Xy" $$unsorted))) (let ((_let_3 (@var "Xx" $$unsorted))) (let ((_let_4 (@var "B" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5 _let_4 _let_1) (and (_ (_ (_ tptp.breln _let_5) _let_4) _let_1) (forall (@list _let_3) (=> (_ (_ tptp.in _let_3) _let_5) (_ (_ tptp.ex1 _let_4) (lambda (@list _let_2) (_ (_ tptp.in (_ (_ tptp.kpair _let_3) _let_2)) _let_1))))))))))))) % 160.14/160.42 (define @t1 () (@var "Xy" $$unsorted)) % 160.14/160.42 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 160.14/160.42 (define @t3 () (_ @t2 @t1)) % 160.14/160.42 (define @t4 () (@list @t1)) % 160.14/160.42 (define @t5 () (lambda @t4 @t3)) % 160.14/160.42 (define @t6 () (@var "A" $$unsorted)) % 160.14/160.42 (define @t7 () (@var "Xx" $$unsorted)) % 160.14/160.42 (define @t8 () (=> @t3 (= @t1 @t7))) % 160.14/160.42 (define @t9 () (_ tptp.in @t1)) % 160.14/160.42 (define @t10 () (_ @t9 @t6)) % 160.14/160.42 (define @t11 () (=> @t10 @t8)) % 160.14/160.42 (define @t12 () (forall @t4 @t11)) % 160.14/160.42 (define @t13 () (=> @t12 (_ (_ tptp.ex1 @t6) @t5))) % 160.14/160.42 (define @t14 () (_ @t2 @t7)) % 160.14/160.42 (define @t15 () (=> @t14 @t13)) % 160.14/160.42 (define @t16 () (_ (_ tptp.in @t7) @t6)) % 160.14/160.42 (define @t17 () (=> @t16 @t15)) % 160.14/160.42 (define @t18 () (@list @t6 @t2 @t7)) % 160.14/160.42 (define @t19 () (forall @t18 @t17)) % 160.14/160.42 (define @t20 () (= tptp.ex1I @t19)) % 160.14/160.42 (define @t21 () (@var "Xu" $$unsorted)) % 160.14/160.42 (define @t22 () (@var "Xz" $$unsorted)) % 160.14/160.42 (define @t23 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 160.14/160.42 (define @t24 () (_ (_ @t23 @t22) @t21)) % 160.14/160.42 (define @t25 () (@list @t22 @t21)) % 160.14/160.42 (define @t26 () (lambda @t25 @t24)) % 160.14/160.42 (define @t27 () (@var "B" $$unsorted)) % 160.14/160.42 (define @t28 () (_ (_ tptp.dpsetconstr @t6) @t27)) % 160.14/160.42 (define @t29 () (_ @t28 @t26)) % 160.14/160.42 (define @t30 () (_ (_ tptp.kpair @t7) @t1)) % 160.14/160.42 (define @t31 () (_ tptp.in @t30)) % 160.14/160.42 (define @t32 () (_ @t31 @t29)) % 160.14/160.42 (define @t33 () (_ (_ @t23 @t7) @t1)) % 160.14/160.42 (define @t34 () (=> @t33 @t32)) % 160.14/160.42 (define @t35 () (_ @t9 @t27)) % 160.14/160.42 (define @t36 () (forall @t4 (=> @t35 @t34))) % 160.14/160.42 (define @t37 () (=> @t16 @t36)) % 160.14/160.42 (define @t38 () (@list @t6 @t27 @t23 @t7)) % 160.14/160.42 (define @t39 () (forall @t38 @t37)) % 160.14/160.42 (define @t40 () (= tptp.dpsetconstrI @t39)) % 160.14/160.42 (define @t41 () (@list @t7 @t1)) % 160.14/160.42 (define @t42 () (lambda @t41 @t33)) % 160.14/160.42 (define @t43 () (_ @t28 @t42)) % 160.14/160.42 (define @t44 () (_ (_ tptp.breln @t6) @t27)) % 160.14/160.42 (define @t45 () (@list @t6 @t27 @t23)) % 160.14/160.42 (define @t46 () (forall @t45 (_ @t44 @t43))) % 160.14/160.42 (define @t47 () (= tptp.setOfPairsIsBReln @t46)) % 160.14/160.42 (define @t48 () (=> @t32 @t33)) % 160.14/160.42 (define @t49 () (forall @t4 (=> @t35 @t48))) % 160.14/160.42 (define @t50 () (=> @t16 @t49)) % 160.14/160.42 (define @t51 () (forall @t38 @t50)) % 160.14/160.42 (define @t52 () (= tptp.dpsetconstrERa @t51)) % 160.14/160.42 (define @t53 () (@var "Xf" (-> $$unsorted $$unsorted))) % 160.14/160.42 (define @t54 () (_ @t53 @t7)) % 160.14/160.42 (define @t55 () (lambda @t41 (= @t54 @t1))) % 160.14/160.42 (define @t56 () (_ @t28 @t55)) % 160.14/160.42 (define @t57 () (_ (_ tptp.in @t54) @t27)) % 160.14/160.42 (define @t58 () (@list @t7)) % 160.14/160.42 (define @t59 () (forall @t58 (=> @t16 @t57))) % 160.14/160.42 (define @t60 () (=> @t59 (_ (_ (_ tptp.func @t6) @t27) @t56))) % 160.14/160.42 (define @t61 () (@list @t6 @t27 @t53)) % 160.14/160.42 (define @t62 () (forall @t61 @t60)) % 160.14/160.42 (define @t63 () (=> tptp.dpsetconstrERa @t62)) % 160.14/160.42 (define @t64 () (=> tptp.setOfPairsIsBReln @t63)) % 160.14/160.42 (define @t65 () (=> tptp.dpsetconstrI @t64)) % 160.14/160.42 (define @t66 () (=> tptp.ex1I @t65)) % 160.14/160.42 (define @t67 () (not @t66)) % 160.14/160.42 (define @t68 () (_ (_ tptp.setadjoin @t7) tptp.emptyset)) % 160.14/160.42 (define @t69 () (= @t6 @t68)) % 160.14/160.42 (define @t70 () (and @t16 @t69)) % 160.14/160.42 (define @t71 () (exists @t58 @t70)) % 160.14/160.42 (define @t72 () (@list @t6)) % 160.14/160.42 (define @t73 () (lambda @t72 @t71)) % 160.14/160.42 (define @t74 () (lambda @t58 @t14)) % 160.14/160.42 (define @t75 () (_ tptp.dsetconstr @t6)) % 160.14/160.42 (define @t76 () (_ @t75 @t74)) % 160.14/160.42 (define @t77 () (@list @t6 @t2)) % 160.14/160.42 (define @t78 () (lambda @t77 (_ tptp.singleton @t76))) % 160.14/160.42 (define @t79 () (_ (_ tptp.cartprod @t6) @t27)) % 160.14/160.42 (define @t80 () (@var "C" $$unsorted)) % 160.14/160.42 (define @t81 () (_ (_ tptp.subset @t80) @t79)) % 160.14/160.42 (define @t82 () (lambda (@list @t6 @t27 @t80) @t81)) % 160.14/160.42 (define @t83 () (@var "R" $$unsorted)) % 160.14/160.42 (define @t84 () (_ @t31 @t83)) % 160.14/160.42 (define @t85 () (lambda @t4 @t84)) % 160.14/160.42 (define @t86 () (=> @t16 (_ (_ tptp.ex1 @t27) @t85))) % 160.14/160.42 (define @t87 () (forall @t58 @t86)) % 160.14/160.42 (define @t88 () (and (_ @t44 @t83) @t87)) % 160.14/160.42 (define @t89 () (@list @t6 @t27 @t83)) % 160.14/160.42 (define @t90 () (lambda @t89 @t88)) % 160.14/160.42 (define @t91 () (@var "BOUND_VARIABLE_7636" $$unsorted)) % 160.14/160.42 (define @t92 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)))) % 160.14/160.42 (define @t93 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted))))) % 160.14/160.42 (define @t94 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 160.14/160.42 (define @t95 () (_ @t94 (_ @t93 @t92 @t91) tptp.emptyset)) % 160.14/160.42 (define @t96 () (@var "BOUND_VARIABLE_8216" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 160.14/160.42 (define @t97 () (@var "BOUND_VARIABLE_8041" $$unsorted)) % 160.14/160.42 (define @t98 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted Bool)))) % 160.14/160.42 (define @t99 () (@const 4 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted Bool))))) % 160.14/160.42 (define @t100 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted Bool))))) % 160.14/160.42 (define @t101 () (@const 6 (-> (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted Bool))))) % 160.14/160.42 (define @t102 () (@const 7 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted)) (@ho-elim-sort (-> $$unsorted Bool))))) % 160.14/160.42 (define @t103 () (@const 8 (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)))) % 160.14/160.42 (define @t104 () (@const 9 (-> (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) $$unsorted (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))))) % 160.14/160.42 (define @t105 () (@const 10 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))) % 160.14/160.42 (define @t106 () (_ @t105 (_ @t104 @t103 @t27) (_ @t102 (_ @t101 (_ @t100 (_ @t99 @t98 @t97) @t27) @t6) @t96))) % 160.14/160.42 (define @t107 () (@const 11 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 160.14/160.42 (define @t108 () (@const 12 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 160.14/160.42 (define @t109 () (_ @t108 @t107 @t91)) % 160.14/160.42 (define @t110 () (@const 13 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 160.14/160.42 (define @t111 () (not (_ @t110 @t109 @t106))) % 160.14/160.42 (define @t112 () (@list @t91)) % 160.14/160.42 (define @t113 () (not (_ @t110 (_ @t108 @t107 @t97) @t6))) % 160.14/160.42 (define @t114 () (@const 14 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)))) % 160.14/160.42 (define @t115 () (_ @t94 (_ @t93 @t114 @t6) @t27)) % 160.14/160.42 (define @t116 () (@const 15 (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted Bool)))) % 160.14/160.42 (define @t117 () (@const 16 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted)) (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))) % 160.14/160.42 (define @t118 () (@const 17 (@ho-elim-sort (-> $$unsorted $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted)))) % 160.14/160.42 (define @t119 () (@const 18 (-> (@ho-elim-sort (-> $$unsorted $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted)) $$unsorted (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted))))) % 160.14/160.42 (define @t120 () (@const 19 (-> (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted)) $$unsorted (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted))))) % 160.14/160.42 (define @t121 () (_ @t120 (_ @t119 @t118 @t6) @t27)) % 160.14/160.42 (define @t122 () (@const 20 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted)) (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted))) % 160.14/160.42 (define @t123 () (@const 21 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 160.14/160.42 (define @t124 () (_ @t110 (_ @t108 @t123 (_ @t122 @t121 (_ @t117 @t116 @t96))) @t115)) % 160.14/160.42 (define @t125 () (_ @t108 @t107 @t7)) % 160.14/160.42 (define @t126 () (not (_ @t110 @t125 @t6))) % 160.14/160.42 (define @t127 () (not (forall @t58 (or @t126 (_ @t110 (_ @t108 @t107 (_ @t94 @t96 @t7)) @t27))))) % 160.14/160.42 (define @t128 () (@list @t6 @t27 @t96 @t97)) % 160.14/160.42 (define @t129 () (forall @t128 (or @t127 (and @t124 (or @t113 (not (forall @t112 (or @t111 (not (= @t106 @t95)))))))))) % 160.14/160.42 (define @t130 () (@quantifiers_skolemize @t129 1)) % 160.14/160.42 (define @t131 () (@quantifiers_skolemize @t129 3)) % 160.14/160.42 (define @t132 () (@quantifiers_skolemize @t129 2)) % 160.14/160.42 (define @t133 () (_ @t94 @t132 @t131)) % 160.14/160.42 (define @t134 () (= @t1 @t133)) % 160.14/160.42 (define @t135 () (_ @t117 @t116 @t132)) % 160.14/160.42 (define @t136 () (@quantifiers_skolemize @t129 0)) % 160.14/160.42 (define @t137 () (_ @t120 (_ @t119 @t118 @t136) @t130)) % 160.14/160.42 (define @t138 () (_ @t108 @t123 (_ @t122 @t137 @t135))) % 160.14/160.42 (define @t139 () (_ @t108 @t107 @t1)) % 160.14/160.42 (define @t140 () (not (_ @t110 @t139 @t130))) % 160.14/160.42 (define @t141 () (@quantifiers_skolemize (forall @t4 (or @t140 (not (_ @t110 @t138 @t1)) @t134)) 0)) % 160.14/160.42 (define @t142 () (_ @t102 (_ @t101 (_ @t100 (_ @t99 @t98 @t131) @t130) @t136) @t132)) % 160.14/160.42 (define @t143 () (not (_ @t110 @t142 @t1))) % 160.14/160.42 (define @t144 () (forall @t4 (or @t140 @t143 (= @t1 @t141)))) % 160.14/160.42 (define @t145 () (@quantifiers_skolemize @t144 0)) % 160.14/160.42 (define @t146 () (_ @t110 (_ @t108 @t107 @t145) @t130)) % 160.14/160.42 (define @t147 () (_ @t110 @t142 @t145)) % 160.14/160.42 (define @t148 () (not @t147)) % 160.14/160.42 (define @t149 () (not @t146)) % 160.14/160.42 (define @t150 () (or @t149 @t148 (= @t141 @t145))) % 160.14/160.42 (define @t151 () (not (= @t95 @t106))) % 160.14/160.42 (define @t152 () (or @t111 @t151)) % 160.14/160.42 (define @t153 () (forall @t112 @t152)) % 160.14/160.42 (define @t154 () (not @t153)) % 160.14/160.42 (define @t155 () (or @t113 @t154)) % 160.14/160.42 (define @t156 () (and @t124 @t155)) % 160.14/160.42 (define @t157 () (or @t127 @t156)) % 160.14/160.42 (define @t158 () (forall @t128 @t157)) % 160.14/160.42 (define @t159 () (@var "BOUND_VARIABLE_7887" $$unsorted)) % 160.14/160.42 (define @t160 () (@var "BOUND_VARIABLE_8327" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 160.14/160.42 (define @t161 () (_ @t108 @t160 @t7)) % 160.14/160.42 (define @t162 () (_ @t122 @t121 @t160)) % 160.14/160.42 (define @t163 () (@const 22 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)))) % 160.14/160.42 (define @t164 () (_ @t93 @t163 @t7)) % 160.14/160.42 (define @t165 () (forall (@list @t6 @t27 @t160 @t7 @t159) (or @t126 (not (_ @t110 (_ @t108 @t107 @t159) @t27)) (not (_ @t110 (_ @t108 @t107 (_ @t94 @t164 @t159)) @t162)) (_ @t110 @t161 @t159)))) % 160.14/160.42 (define @t166 () (=> @t165 @t158)) % 160.14/160.42 (define @t167 () (forall (@list @t6 @t27 @t160) (_ @t110 (_ @t108 @t123 @t162) @t115))) % 160.14/160.42 (define @t168 () (=> @t167 @t166)) % 160.14/160.42 (define @t169 () (@var "BOUND_VARIABLE_7834" $$unsorted)) % 160.14/160.42 (define @t170 () (forall (@list @t6 @t27 @t160 @t7 @t169) (or @t126 (not (_ @t110 (_ @t108 @t107 @t169) @t27)) (not (_ @t110 @t161 @t169)) (_ @t110 (_ @t108 @t107 (_ @t94 @t164 @t169)) @t162)))) % 160.14/160.42 (define @t171 () (=> @t170 @t168)) % 160.14/160.42 (define @t172 () (@var "BOUND_VARIABLE_8380" (@ho-elim-sort (-> $$unsorted Bool)))) % 160.14/160.42 (define @t173 () (_ @t105 (_ @t104 @t103 @t6) @t172)) % 160.14/160.42 (define @t174 () (@var "BOUND_VARIABLE_7766" $$unsorted)) % 160.14/160.42 (define @t175 () (_ @t94 (_ @t93 @t92 @t174) tptp.emptyset)) % 160.14/160.42 (define @t176 () (not (= @t173 @t175))) % 160.14/160.42 (define @t177 () (_ @t108 @t107 @t174)) % 160.14/160.42 (define @t178 () (not (_ @t110 @t177 @t173))) % 160.14/160.42 (define @t179 () (or @t178 @t176)) % 160.14/160.42 (define @t180 () (@list @t174)) % 160.14/160.42 (define @t181 () (forall @t180 @t179)) % 160.14/160.42 (define @t182 () (not @t181)) % 160.14/160.42 (define @t183 () (= @t7 @t1)) % 160.14/160.42 (define @t184 () (not (forall @t4 (or (not (_ @t110 @t139 @t6)) (not (_ @t110 @t172 @t1)) @t183)))) % 160.14/160.42 (define @t185 () (not (_ @t110 @t172 @t7))) % 160.14/160.42 (define @t186 () (or @t126 @t185 @t184 @t182)) % 160.14/160.42 (define @t187 () (@list @t6 @t172 @t7)) % 160.14/160.42 (define @t188 () (forall @t187 @t186)) % 160.14/160.42 (define @t189 () (=> @t188 @t171)) % 160.14/160.42 (define @t190 () (not @t189)) % 160.14/160.42 (define @t191 () (@const 23 (-> $$unsorted $$unsorted $$unsorted (-> $$unsorted $$unsorted) $$unsorted Bool))) % 160.14/160.42 (define @t192 () (tptp.dsetconstr @t27 (_ (_ (_ (_ @t191 @t97) @t27) @t6) @t53))) % 160.14/160.42 (define @t193 () (tptp.setadjoin @t91 tptp.emptyset)) % 160.14/160.42 (define @t194 () (not (tptp.in @t97 @t6))) % 160.14/160.42 (define @t195 () (tptp.cartprod @t6 @t27)) % 160.14/160.42 (define @t196 () (_ @t53 @t7)) % 160.14/160.42 (define @t197 () (tptp.in @t196 @t27)) % 160.14/160.42 (define @t198 () (tptp.in @t7 @t6)) % 160.14/160.42 (define @t199 () (not @t198)) % 160.14/160.42 (define @t200 () (forall @t58 (or @t199 @t197))) % 160.14/160.42 (define @t201 () (not @t200)) % 160.14/160.42 (define @t202 () (@list @t6 @t27 @t53 @t97)) % 160.14/160.42 (define @t203 () (_ @t23 @t7 @t159)) % 160.14/160.42 (define @t204 () (tptp.dpsetconstr @t6 @t27 @t23)) % 160.14/160.42 (define @t205 () (not (tptp.in (tptp.kpair @t7 @t159) @t204))) % 160.14/160.42 (define @t206 () (not (tptp.in @t159 @t27))) % 160.14/160.42 (define @t207 () (or @t199 @t206 @t205 @t203)) % 160.14/160.42 (define @t208 () (@list @t6 @t27 @t23 @t7 @t159)) % 160.14/160.42 (define @t209 () (forall @t208 @t207)) % 160.14/160.42 (define @t210 () (forall @t45 (tptp.subset @t204 @t195))) % 160.14/160.42 (define @t211 () (tptp.in (tptp.kpair @t7 @t169) @t204)) % 160.14/160.42 (define @t212 () (not (_ @t23 @t7 @t169))) % 160.14/160.42 (define @t213 () (not (tptp.in @t169 @t27))) % 160.14/160.42 (define @t214 () (or @t199 @t213 @t212 @t211)) % 160.14/160.42 (define @t215 () (@list @t6 @t27 @t23 @t7 @t169)) % 160.14/160.42 (define @t216 () (forall @t215 @t214)) % 160.14/160.42 (define @t217 () (tptp.setadjoin @t174 tptp.emptyset)) % 160.14/160.42 (define @t218 () (tptp.dsetconstr @t6 @t2)) % 160.14/160.42 (define @t219 () (not (tptp.in @t174 @t218))) % 160.14/160.42 (define @t220 () (not (forall @t180 (or @t219 (not (= @t218 @t217)))))) % 160.14/160.42 (define @t221 () (_ @t2 @t1)) % 160.14/160.42 (define @t222 () (tptp.in @t1 @t6)) % 160.14/160.42 (define @t223 () (forall @t4 (or (not @t222) (not @t221) @t183))) % 160.14/160.42 (define @t224 () (not @t223)) % 160.14/160.42 (define @t225 () (_ @t2 @t7)) % 160.14/160.42 (define @t226 () (forall @t18 (or @t199 (not @t225) @t224 @t220))) % 160.14/160.42 (define @t227 () (not (=> @t226 (=> @t216 (=> @t210 (=> @t209 (forall @t202 (or @t201 (and (tptp.subset (tptp.dpsetconstr @t6 @t27 (_ (@const 24 (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted Bool)) @t53)) @t195) (or @t194 (not (forall @t112 (or (not (tptp.in @t91 @t192)) (not (= @t193 @t192))))))))))))))) % 160.14/160.42 (define @t228 () (@var "BOUND_VARIABLE_7989" $$unsorted)) % 160.14/160.42 (define @t229 () (_ @t53 @t228)) % 160.14/160.42 (define @t230 () (@var "BOUND_VARIABLE_7950" $$unsorted)) % 160.14/160.42 (define @t231 () (@list @t228 @t230)) % 160.14/160.42 (define @t232 () (tptp.dpsetconstr @t6 @t27 (lambda @t231 (= @t230 @t229)))) % 160.14/160.42 (define @t233 () (tptp.dsetconstr @t27 (lambda @t4 (tptp.in (tptp.kpair @t97 @t1) @t232)))) % 160.14/160.42 (define @t234 () (or @t194 (not (forall @t112 (or (not (tptp.in @t91 @t233)) (not (= @t193 @t233))))))) % 160.14/160.42 (define @t235 () (= @t1 @t196)) % 160.14/160.42 (define @t236 () (lambda @t41 @t235)) % 160.14/160.42 (define @t237 () (tptp.dpsetconstr @t6 @t27 @t236)) % 160.14/160.42 (define @t238 () (tptp.subset @t237 @t195)) % 160.14/160.42 (define @t239 () (and @t238 @t234)) % 160.14/160.42 (define @t240 () (or @t201 @t239)) % 160.14/160.42 (define @t241 () (forall @t202 @t240)) % 160.14/160.42 (define @t242 () (or @t206 @t205 @t203)) % 160.14/160.42 (define @t243 () (or @t199 @t242)) % 160.14/160.42 (define @t244 () (forall @t208 @t243)) % 160.14/160.42 (define @t245 () (@list @t159)) % 160.14/160.42 (define @t246 () (forall @t245 @t243)) % 160.14/160.42 (define @t247 () (forall @t245 @t242)) % 160.14/160.42 (define @t248 () (@list @t1)) % 160.14/160.42 (define @t249 () (or @t199 @t247)) % 160.14/160.42 (define @t250 () (_ @t23 @t7 @t1)) % 160.14/160.42 (define @t251 () (tptp.kpair @t7 @t1)) % 160.14/160.42 (define @t252 () (tptp.in @t251 @t204)) % 160.14/160.42 (define @t253 () (tptp.in @t1 @t27)) % 160.14/160.42 (define @t254 () (not @t253)) % 160.14/160.42 (define @t255 () (forall @t4 (or @t254 (not @t252) @t250))) % 160.14/160.42 (define @t256 () (not @t16)) % 160.14/160.42 (define @t257 () (or @t256 @t255)) % 160.14/160.42 (define @t258 () (_ @t23 @t22 @t21)) % 160.14/160.42 (define @t259 () (lambda @t25 @t258)) % 160.14/160.42 (define @t260 () (tptp.dpsetconstr @t6 @t27 @t259)) % 160.14/160.42 (define @t261 () (tptp.in @t251 @t260)) % 160.14/160.42 (define @t262 () (not @t261)) % 160.14/160.42 (define @t263 () (or @t254 @t262 @t250)) % 160.14/160.42 (define @t264 () (_ tptp.in @t251)) % 160.14/160.42 (define @t265 () (not @t32)) % 160.14/160.42 (define @t266 () (not @t35)) % 160.14/160.42 (define @t267 () (or @t266 @t265 @t33)) % 160.14/160.42 (define @t268 () (=> tptp.dpsetconstrERa @t241)) % 160.14/160.42 (define @t269 () (lambda @t41 @t250)) % 160.14/160.42 (define @t270 () (tptp.dpsetconstr @t6 @t27 @t269)) % 160.14/160.42 (define @t271 () (tptp.subset @t270 @t195)) % 160.14/160.42 (define @t272 () (_ (_ tptp.subset @t43) @t79)) % 160.14/160.42 (define @t273 () (lambda (@list @t80) @t81)) % 160.14/160.42 (define @t274 () (lambda (@list @t27 @t80) @t81)) % 160.14/160.42 (define @t275 () (_ @t82 @t6)) % 160.14/160.42 (define @t276 () (_ @t275 @t27)) % 160.14/160.42 (define @t277 () (forall @t45 (_ @t276 @t43))) % 160.14/160.42 (define @t278 () (=> tptp.setOfPairsIsBReln @t268)) % 160.14/160.42 (define @t279 () (or @t213 @t212 @t211)) % 160.14/160.42 (define @t280 () (or @t199 @t279)) % 160.14/160.42 (define @t281 () (forall @t215 @t280)) % 160.14/160.42 (define @t282 () (@list @t169)) % 160.14/160.42 (define @t283 () (forall @t282 @t280)) % 160.14/160.42 (define @t284 () (forall @t282 @t279)) % 160.14/160.42 (define @t285 () (or @t199 @t284)) % 160.14/160.42 (define @t286 () (not @t250)) % 160.14/160.42 (define @t287 () (forall @t4 (or @t254 @t286 @t252))) % 160.14/160.42 (define @t288 () (or @t256 @t287)) % 160.14/160.42 (define @t289 () (or @t254 @t286 @t261)) % 160.14/160.42 (define @t290 () (not @t33)) % 160.14/160.42 (define @t291 () (or @t266 @t290 @t32)) % 160.14/160.42 (define @t292 () (=> tptp.dpsetconstrI @t278)) % 160.14/160.42 (define @t293 () (not @t14)) % 160.14/160.42 (define @t294 () (or @t256 @t293 @t224 @t220)) % 160.14/160.42 (define @t295 () (or @t293 @t224 @t220)) % 160.14/160.42 (define @t296 () (=> @t223 @t220)) % 160.14/160.42 (define @t297 () (=> @t14 @t296)) % 160.14/160.42 (define @t298 () (not (= @t217 @t218))) % 160.14/160.42 (define @t299 () (or @t219 @t298)) % 160.14/160.42 (define @t300 () (forall @t180 @t299)) % 160.14/160.42 (define @t301 () (not @t300)) % 160.14/160.42 (define @t302 () (=> @t223 @t301)) % 160.14/160.42 (define @t303 () (=> @t14 @t302)) % 160.14/160.42 (define @t304 () (=> @t16 @t303)) % 160.14/160.42 (define @t305 () (tptp.setadjoin @t7 tptp.emptyset)) % 160.14/160.42 (define @t306 () (forall @t58 (or (not (tptp.in @t7 @t218)) (not (= @t305 @t218))))) % 160.14/160.42 (define @t307 () (@list @t7)) % 160.14/160.42 (define @t308 () (@list @t174)) % 160.14/160.42 (define @t309 () (not @t306)) % 160.14/160.42 (define @t310 () (=> @t223 @t309)) % 160.14/160.42 (define @t311 () (=> @t14 @t310)) % 160.14/160.42 (define @t312 () (=> @t16 @t311)) % 160.14/160.42 (define @t313 () (lambda @t4 @t221)) % 160.14/160.42 (define @t314 () (tptp.dsetconstr @t6 @t313)) % 160.14/160.42 (define @t315 () (= @t305 @t314)) % 160.14/160.42 (define @t316 () (not @t315)) % 160.14/160.42 (define @t317 () (tptp.in @t7 @t314)) % 160.14/160.42 (define @t318 () (not @t317)) % 160.14/160.42 (define @t319 () (or @t318 @t316)) % 160.14/160.42 (define @t320 () (tptp.dsetconstr @t6 @t5)) % 160.14/160.42 (define @t321 () (= @t305 @t320)) % 160.14/160.42 (define @t322 () (not @t321)) % 160.14/160.42 (define @t323 () (tptp.in @t7 @t320)) % 160.14/160.42 (define @t324 () (not @t323)) % 160.14/160.42 (define @t325 () (or @t324 @t322)) % 160.14/160.42 (define @t326 () (forall @t58 @t325)) % 160.14/160.42 (define @t327 () (not @t326)) % 160.14/160.42 (define @t328 () (@list @t2)) % 160.14/160.42 (define @t329 () (lambda @t328 @t309)) % 160.14/160.42 (define @t330 () (lambda @t77 @t309)) % 160.14/160.42 (define @t331 () (_ @t330 @t6)) % 160.14/160.42 (define @t332 () (not @t3)) % 160.14/160.42 (define @t333 () (not @t10)) % 160.14/160.42 (define @t334 () (or @t333 @t332 @t183)) % 160.14/160.42 (define @t335 () (=> @t3 @t183)) % 160.14/160.42 (define @t336 () (=> @t12 (_ @t331 @t5))) % 160.14/160.42 (define @t337 () (=> @t14 @t336)) % 160.14/160.42 (define @t338 () (=> @t16 @t337)) % 160.14/160.42 (define @t339 () (forall @t18 @t338)) % 160.14/160.42 (define @t340 () (@var "BOUND_VARIABLE_7479" $$unsorted)) % 160.14/160.42 (define @t341 () (_ @t2 @t340)) % 160.14/160.42 (define @t342 () (@list @t340)) % 160.14/160.42 (define @t343 () (lambda @t342 @t341)) % 160.14/160.42 (define @t344 () (tptp.dsetconstr @t6 @t343)) % 160.14/160.42 (define @t345 () (= @t305 @t344)) % 160.14/160.42 (define @t346 () (not @t345)) % 160.14/160.42 (define @t347 () (tptp.in @t7 @t344)) % 160.14/160.42 (define @t348 () (not @t347)) % 160.14/160.42 (define @t349 () (or @t348 @t346)) % 160.14/160.42 (define @t350 () (_ @t2 @t340)) % 160.14/160.42 (define @t351 () (lambda @t342 @t350)) % 160.14/160.42 (define @t352 () (_ @t75 @t351)) % 160.14/160.42 (define @t353 () (= @t305 @t352)) % 160.14/160.42 (define @t354 () (not @t353)) % 160.14/160.42 (define @t355 () (tptp.in @t7 @t352)) % 160.14/160.42 (define @t356 () (not @t355)) % 160.14/160.42 (define @t357 () (or @t356 @t354)) % 160.14/160.42 (define @t358 () (= @t305 @t76)) % 160.14/160.42 (define @t359 () (not @t358)) % 160.14/160.42 (define @t360 () (tptp.in @t7 @t76)) % 160.14/160.42 (define @t361 () (not @t360)) % 160.14/160.42 (define @t362 () (or @t361 @t359)) % 160.14/160.42 (define @t363 () (not (= @t76 @t305))) % 160.14/160.42 (define @t364 () (or @t361 @t363)) % 160.14/160.42 (define @t365 () (forall @t58 @t364)) % 160.14/160.42 (define @t366 () (not @t365)) % 160.14/160.42 (define @t367 () (not @t69)) % 160.14/160.42 (define @t368 () (or @t256 @t367)) % 160.14/160.42 (define @t369 () (forall @t58 (not @t70))) % 160.14/160.42 (define @t370 () (not @t369)) % 160.14/160.42 (define @t371 () (=> tptp.ex1I @t292)) % 160.14/160.42 (define @t372 () (@list @t97)) % 160.14/160.42 (define @t373 () (forall @t372 @t240)) % 160.14/160.42 (define @t374 () (forall @t372 @t234)) % 160.14/160.42 (define @t375 () (forall @t372 @t238)) % 160.14/160.42 (define @t376 () (and @t375 @t374)) % 160.14/160.42 (define @t377 () (forall @t372 @t239)) % 160.14/160.42 (define @t378 () (or @t201 @t377)) % 160.14/160.42 (define @t379 () (tptp.dsetconstr @t27 (lambda @t4 (tptp.in @t251 @t232)))) % 160.14/160.42 (define @t380 () (forall @t58 (or @t199 (not (forall @t112 (or (not (tptp.in @t91 @t379)) (not (= @t193 @t379)))))))) % 160.14/160.42 (define @t381 () (= @t1 @t54)) % 160.14/160.42 (define @t382 () (lambda @t41 @t381)) % 160.14/160.42 (define @t383 () (_ @t28 @t382)) % 160.14/160.42 (define @t384 () (_ (_ tptp.subset @t383) @t79)) % 160.14/160.42 (define @t385 () (and @t384 @t380)) % 160.14/160.42 (define @t386 () (or @t201 @t385)) % 160.14/160.42 (define @t387 () (lambda @t231 (= @t229 @t230))) % 160.14/160.42 (define @t388 () (tptp.dpsetconstr @t6 @t27 @t387)) % 160.14/160.42 (define @t389 () (tptp.in @t251 @t388)) % 160.14/160.42 (define @t390 () (lambda @t4 @t389)) % 160.14/160.42 (define @t391 () (tptp.dsetconstr @t27 @t390)) % 160.14/160.42 (define @t392 () (= @t193 @t391)) % 160.14/160.42 (define @t393 () (not @t392)) % 160.14/160.42 (define @t394 () (tptp.in @t91 @t391)) % 160.14/160.42 (define @t395 () (not @t394)) % 160.14/160.42 (define @t396 () (or @t395 @t393)) % 160.14/160.42 (define @t397 () (forall @t112 @t396)) % 160.14/160.42 (define @t398 () (not @t397)) % 160.14/160.42 (define @t399 () (or @t199 @t398)) % 160.14/160.42 (define @t400 () (= @t196 @t230)) % 160.14/160.42 (define @t401 () (@list @t7 @t230)) % 160.14/160.42 (define @t402 () (lambda @t401 @t400)) % 160.14/160.42 (define @t403 () (tptp.dpsetconstr @t6 @t27 @t402)) % 160.14/160.42 (define @t404 () (tptp.in @t251 @t403)) % 160.14/160.42 (define @t405 () (lambda @t4 @t404)) % 160.14/160.42 (define @t406 () (tptp.dsetconstr @t27 @t405)) % 160.14/160.42 (define @t407 () (= @t193 @t406)) % 160.14/160.42 (define @t408 () (not @t407)) % 160.14/160.42 (define @t409 () (tptp.in @t91 @t406)) % 160.14/160.42 (define @t410 () (not @t409)) % 160.14/160.42 (define @t411 () (or @t410 @t408)) % 160.14/160.42 (define @t412 () (forall @t112 @t411)) % 160.14/160.42 (define @t413 () (not @t412)) % 160.14/160.42 (define @t414 () (or @t199 @t413)) % 160.14/160.42 (define @t415 () (= @t54 @t230)) % 160.14/160.42 (define @t416 () (lambda @t401 @t415)) % 160.14/160.42 (define @t417 () (_ @t28 @t416)) % 160.14/160.42 (define @t418 () (tptp.in @t251 @t417)) % 160.14/160.42 (define @t419 () (lambda @t4 @t418)) % 160.14/160.42 (define @t420 () (tptp.dsetconstr @t27 @t419)) % 160.14/160.42 (define @t421 () (= @t193 @t420)) % 160.14/160.42 (define @t422 () (not @t421)) % 160.14/160.42 (define @t423 () (tptp.in @t91 @t420)) % 160.14/160.42 (define @t424 () (not @t423)) % 160.14/160.42 (define @t425 () (or @t424 @t422)) % 160.14/160.42 (define @t426 () (lambda @t401 (= @t230 @t54))) % 160.14/160.42 (define @t427 () (tptp.in @t251 (_ @t28 @t426))) % 160.14/160.42 (define @t428 () (lambda @t4 @t427)) % 160.14/160.42 (define @t429 () (lambda @t4 (tptp.in @t251 @t383))) % 160.14/160.42 (define @t430 () (tptp.dsetconstr @t27 @t429)) % 160.14/160.42 (define @t431 () (= @t193 @t430)) % 160.14/160.42 (define @t432 () (not @t431)) % 160.14/160.42 (define @t433 () (tptp.in @t91 @t430)) % 160.14/160.42 (define @t434 () (not @t433)) % 160.14/160.42 (define @t435 () (or @t434 @t432)) % 160.14/160.42 (define @t436 () (forall @t112 @t435)) % 160.14/160.42 (define @t437 () (not @t436)) % 160.14/160.42 (define @t438 () (or @t199 @t437)) % 160.14/160.42 (define @t439 () (forall @t58 @t438)) % 160.14/160.42 (define @t440 () (and @t384 @t439)) % 160.14/160.42 (define @t441 () (tptp.in @t251 @t83)) % 160.14/160.42 (define @t442 () (tptp.dsetconstr @t27 (lambda @t4 @t441))) % 160.14/160.42 (define @t443 () (not (forall @t112 (or (not (tptp.in @t91 @t442)) (not (= @t193 @t442)))))) % 160.14/160.42 (define @t444 () (_ (_ tptp.subset @t83) @t79)) % 160.14/160.42 (define @t445 () (and @t444 (forall @t58 (or @t199 @t443)))) % 160.14/160.42 (define @t446 () (lambda (@list @t83) @t445)) % 160.14/160.42 (define @t447 () (lambda (@list @t27 @t83) @t445)) % 160.14/160.42 (define @t448 () (_ (lambda @t89 @t445) @t6)) % 160.14/160.42 (define @t449 () (or @t256 @t57)) % 160.14/160.42 (define @t450 () (=> @t59 (_ (_ @t448 @t27) @t56))) % 160.14/160.42 (define @t451 () (forall @t61 @t450)) % 160.14/160.42 (define @t452 () (=> tptp.dpsetconstrERa @t451)) % 160.14/160.42 (define @t453 () (=> tptp.setOfPairsIsBReln @t452)) % 160.14/160.42 (define @t454 () (=> tptp.dpsetconstrI @t453)) % 160.14/160.42 (define @t455 () (=> tptp.ex1I @t454)) % 160.14/160.42 (define @t456 () (or @t256 @t443)) % 160.14/160.42 (define @t457 () (tptp.dsetconstr @t27 @t85)) % 160.14/160.42 (define @t458 () (= @t193 @t457)) % 160.14/160.42 (define @t459 () (not @t458)) % 160.14/160.42 (define @t460 () (tptp.in @t91 @t457)) % 160.14/160.42 (define @t461 () (not @t460)) % 160.14/160.42 (define @t462 () (or @t461 @t459)) % 160.14/160.42 (define @t463 () (not (= @t457 @t193))) % 160.14/160.42 (define @t464 () (or @t461 @t463)) % 160.14/160.42 (define @t465 () (forall @t112 @t464)) % 160.14/160.42 (define @t466 () (not @t465)) % 160.14/160.42 (define @t467 () (tptp.dsetconstr @t27 @t2)) % 160.14/160.42 (define @t468 () (not (tptp.in @t91 @t467))) % 160.14/160.42 (define @t469 () (not (= @t193 @t467))) % 160.14/160.42 (define @t470 () (or @t468 @t469)) % 160.14/160.42 (define @t471 () (forall @t112 @t470)) % 160.14/160.42 (define @t472 () (not @t471)) % 160.14/160.42 (define @t473 () (forall @t58 (or (not (tptp.in @t7 @t467)) (not (= @t305 @t467))))) % 160.14/160.42 (define @t474 () (@list @t91)) % 160.14/160.42 (define @t475 () (not @t473)) % 160.14/160.42 (define @t476 () (lambda @t328 @t475)) % 160.14/160.42 (define @t477 () (_ @t330 @t27)) % 160.14/160.42 (define @t478 () (=> @t16 (_ @t477 @t85))) % 160.14/160.42 (define @t479 () (forall @t58 @t478)) % 160.14/160.42 (define @t480 () (_ @t105 (_ @t104 @t103 @t130) @t142)) % 160.14/160.42 (define @t481 () (not (_ @t110 @t109 @t480))) % 160.14/160.42 (define @t482 () (forall @t112 (or @t481 (not (= @t95 @t480))))) % 160.14/160.42 (define @t483 () (not @t482)) % 160.14/160.42 (define @t484 () (_ @t110 (_ @t108 @t107 @t131) @t136)) % 160.14/160.42 (define @t485 () (not @t484)) % 160.14/160.42 (define @t486 () (or @t485 @t483)) % 160.14/160.42 (define @t487 () (_ @t110 @t138 (_ @t94 (_ @t93 @t114 @t136) @t130))) % 160.14/160.42 (define @t488 () (and @t487 @t486)) % 160.14/160.42 (define @t489 () (forall @t58 (or (not (_ @t110 @t125 @t136)) (_ @t110 (_ @t108 @t107 (_ @t94 @t132 @t7)) @t130)))) % 160.14/160.42 (define @t490 () (not @t489)) % 160.14/160.42 (define @t491 () (or @t490 @t488)) % 160.14/160.42 (define @t492 () (not @t491)) % 160.14/160.42 (define @t493 () (not @t129)) % 160.14/160.42 (define @t494 () (not (= @t480 @t95))) % 160.14/160.42 (define @t495 () (or @t481 @t494)) % 160.14/160.42 (define @t496 () (forall @t112 @t495)) % 160.14/160.42 (define @t497 () (not @t496)) % 160.14/160.42 (define @t498 () (or @t485 @t497)) % 160.14/160.42 (define @t499 () (and @t487 @t498)) % 160.14/160.42 (define @t500 () (or @t490 @t499)) % 160.14/160.42 (define @t501 () (not @t500)) % 160.14/160.42 (define @t502 () (@list true)) % 160.14/160.42 (define @t503 () (@list @t491)) % 160.14/160.42 (define @t504 () (@list @t486)) % 160.14/160.42 (define @t505 () (forall @t180 (or (not (_ @t110 @t177 @t480)) (not (= @t175 @t480))))) % 160.14/160.42 (define @t506 () (@list false)) % 160.14/160.42 (define @t507 () (not @t505)) % 160.14/160.42 (define @t508 () (or @t140 @t143 (= @t145 @t1))) % 160.14/160.42 (define @t509 () (forall @t4 @t508)) % 160.14/160.42 (define @t510 () (not @t509)) % 160.14/160.42 (define @t511 () (or @t149 @t148 @t510 @t507)) % 160.14/160.42 (define @t512 () (forall @t187 (or @t126 @t185 @t184 (not (forall @t180 (or @t178 (not (= @t175 @t173)))))))) % 160.14/160.42 (define @t513 () (forall @t4 (or @t140 @t143 (= @t1 @t145)))) % 160.14/160.42 (define @t514 () (not @t513)) % 160.14/160.42 (define @t515 () (or @t149 @t148 @t514 @t507)) % 160.14/160.42 (define @t516 () (@list @t512)) % 160.14/160.42 (define @t517 () (@var "BOUND_VARIABLE_8168" $$unsorted)) % 160.14/160.42 (define @t518 () (@var "BOUND_VARIABLE_8451" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 160.14/160.42 (define @t519 () (@var "BOUND_VARIABLE_8166" $$unsorted)) % 160.14/160.42 (define @t520 () (@var "BOUND_VARIABLE_8165" $$unsorted)) % 160.14/160.42 (define @t521 () (@var "BOUND_VARIABLE_8164" $$unsorted)) % 160.14/160.42 (define @t522 () (_ @t110 (_ @t102 (_ @t101 (_ @t100 (_ @t99 @t98 @t521) @t520) @t519) @t518) @t517)) % 160.14/160.42 (define @t523 () (@const 25 (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted Bool)))) % 160.14/160.42 (define @t524 () (_ @t110 (_ @t108 @t107 (_ @t94 (_ @t93 @t163 @t521) @t517)) (_ @t122 (_ @t120 (_ @t119 @t118 @t519) @t520) (_ @t117 @t523 @t518)))) % 160.14/160.42 (define @t525 () (@list @t521 @t520 @t519 @t518 @t517)) % 160.14/160.42 (define @t526 () (forall @t525 (= @t522 @t524))) % 160.14/160.42 (define @t527 () (@var "BOUND_VARIABLE_8167" (-> $$unsorted $$unsorted))) % 160.14/160.42 (define @t528 () (@const 26 (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted Bool))) % 160.14/160.42 (define @t529 () (forall (@list @t521 @t520 @t519 @t527 @t517) (= (_ @t191 @t521 @t520 @t519 @t527 @t517) (tptp.in (tptp.kpair @t521 @t517) (tptp.dpsetconstr @t519 @t520 (_ @t528 @t527)))))) % 160.14/160.42 (define @t530 () (_ @t117 @t523 @t132)) % 160.14/160.42 (define @t531 () (_ @t122 @t137 @t530)) % 160.14/160.42 (define @t532 () (_ @t93 @t163 @t131)) % 160.14/160.42 (define @t533 () (_ @t110 (_ @t108 @t107 (_ @t94 @t532 @t145)) @t531)) % 160.14/160.42 (define @t534 () (forall @t525 (= @t524 @t522))) % 160.14/160.42 (define @t535 () (= @t533 @t147)) % 160.14/160.42 (define @t536 () (= @t147 @t533)) % 160.14/160.42 (define @t537 () (@list @t534)) % 160.14/160.42 (define @t538 () (@quantifiers_skolemize @t513 0)) % 160.14/160.42 (define @t539 () (= @t145 @t538)) % 160.14/160.42 (define @t540 () (_ @t110 @t142 @t538)) % 160.14/160.42 (define @t541 () (not @t540)) % 160.14/160.42 (define @t542 () (_ @t110 (_ @t108 @t107 @t538) @t130)) % 160.14/160.42 (define @t543 () (not @t542)) % 160.14/160.42 (define @t544 () (or @t543 @t541 @t539)) % 160.14/160.42 (define @t545 () (not @t544)) % 160.14/160.42 (define @t546 () (or @t543 @t541 (= @t538 @t145))) % 160.14/160.42 (define @t547 () (not @t546)) % 160.14/160.42 (define @t548 () (_ @t108 @t530 @t131)) % 160.14/160.42 (define @t549 () (_ @t110 @t548 @t145)) % 160.14/160.42 (define @t550 () (not @t533)) % 160.14/160.42 (define @t551 () (or @t485 @t149 @t550 @t549)) % 160.14/160.42 (define @t552 () (@var "BOUND_VARIABLE_8200" $$unsorted)) % 160.14/160.42 (define @t553 () (@var "BOUND_VARIABLE_8502" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 160.14/160.42 (define @t554 () (@var "BOUND_VARIABLE_8201" $$unsorted)) % 160.14/160.42 (define @t555 () (= @t554 (_ @t94 @t553 @t552))) % 160.14/160.42 (define @t556 () (_ @t110 (_ @t108 (_ @t117 @t523 @t553) @t552) @t554)) % 160.14/160.42 (define @t557 () (@list @t553 @t552 @t554)) % 160.14/160.42 (define @t558 () (forall @t557 (= @t555 @t556))) % 160.14/160.42 (define @t559 () (@var "BOUND_VARIABLE_8199" (-> $$unsorted $$unsorted))) % 160.14/160.42 (define @t560 () (forall (@list @t559 @t552 @t554) (= (= @t554 (_ @t559 @t552)) (_ @t528 @t559 @t552 @t554)))) % 160.14/160.42 (define @t561 () (= @t145 @t133)) % 160.14/160.42 (define @t562 () (forall @t557 (= @t556 @t555))) % 160.14/160.42 (define @t563 () (= @t549 @t561)) % 160.14/160.42 (define @t564 () (= @t133 @t145)) % 160.14/160.42 (define @t565 () (= @t564 @t549)) % 160.14/160.42 (define @t566 () (@list @t562)) % 160.14/160.42 (define @t567 () (_ @t110 (_ @t108 @t107 (_ @t94 @t532 @t538)) @t531)) % 160.14/160.42 (define @t568 () (= @t567 @t540)) % 160.14/160.42 (define @t569 () (= @t540 @t567)) % 160.14/160.42 (define @t570 () (= @t133 @t538)) % 160.14/160.42 (define @t571 () (not @t570)) % 160.14/160.42 (define @t572 () (not @t564)) % 160.14/160.42 (define @t573 () (not @t539)) % 160.14/160.42 (define @t574 () (and @t564 @t573)) % 160.14/160.42 (define @t575 () (_ @t110 @t548 @t538)) % 160.14/160.42 (define @t576 () (not @t567)) % 160.14/160.42 (define @t577 () (or @t485 @t543 @t576 @t575)) % 160.14/160.42 (define @t578 () (forall @t4 (or @t140 (not (_ @t110 @t548 @t1)) @t134))) % 160.14/160.42 (define @t579 () (@quantifiers_skolemize @t578 0)) % 160.14/160.42 (define @t580 () (_ @t110 @t548 @t579)) % 160.14/160.42 (define @t581 () (= @t133 @t579)) % 160.14/160.42 (define @t582 () (not @t580)) % 160.14/160.42 (define @t583 () (not (_ @t110 (_ @t108 @t107 @t579) @t130))) % 160.14/160.42 (define @t584 () (or @t583 @t582 @t581)) % 160.14/160.42 (define @t585 () (= @t579 @t133)) % 160.14/160.42 (define @t586 () (= @t580 @t585)) % 160.14/160.42 (define @t587 () (= @t580 @t581)) % 160.14/160.42 (define @t588 () (not @t584)) % 160.14/160.42 (define @t589 () (not @t578)) % 160.14/160.42 (define @t590 () (or @t583 @t582 @t585)) % 160.14/160.42 (define @t591 () (not @t590)) % 160.14/160.42 (define @t592 () (not @t575)) % 160.14/160.42 (define @t593 () (or @t543 @t592 (= @t538 @t133))) % 160.14/160.42 (define @t594 () (or @t543 @t592 @t570)) % 160.14/160.42 (define @t595 () (not @t150)) % 160.14/160.42 (define @t596 () (not @t144)) % 160.14/160.42 (define @t597 () (or @t149 @t148 (= @t145 @t141))) % 160.14/160.42 (define @t598 () (not @t597)) % 160.14/160.42 (define @t599 () (or @t140 @t143 (= @t141 @t1))) % 160.14/160.42 (define @t600 () (forall @t4 @t599)) % 160.14/160.42 (define @t601 () (not @t600)) % 160.14/160.42 (define @t602 () (_ @t110 @t142 @t141)) % 160.14/160.42 (define @t603 () (not @t602)) % 160.14/160.42 (define @t604 () (_ @t108 @t107 @t141)) % 160.14/160.42 (define @t605 () (_ @t110 @t604 @t130)) % 160.14/160.42 (define @t606 () (not @t605)) % 160.14/160.42 (define @t607 () (or @t606 @t603 @t601 @t507)) % 160.14/160.42 (define @t608 () (or @t606 @t603 @t596 @t507)) % 160.14/160.42 (define @t609 () (_ @t110 @t548 @t133)) % 160.14/160.42 (define @t610 () (= @t609 (= @t133 @t133))) % 160.14/160.42 (define @t611 () (_ @t110 (_ @t108 @t107 @t133) @t130)) % 160.14/160.42 (define @t612 () (or @t485 @t611)) % 160.14/160.42 (define @t613 () (@list false false)) % 160.14/160.42 (define @t614 () (_ @t110 (_ @t108 @t107 (_ @t94 @t532 @t133)) @t531)) % 160.14/160.42 (define @t615 () (not @t609)) % 160.14/160.42 (define @t616 () (not @t611)) % 160.14/160.42 (define @t617 () (or @t485 @t616 @t615 @t614)) % 160.14/160.42 (define @t618 () (_ @t110 @t142 @t133)) % 160.14/160.42 (define @t619 () (= @t614 @t618)) % 160.14/160.42 (define @t620 () (= @t133 @t141)) % 160.14/160.42 (define @t621 () (not @t618)) % 160.14/160.42 (define @t622 () (or @t616 @t621 @t620)) % 160.14/160.42 (define @t623 () (and @t620 @t618)) % 160.14/160.42 (define @t624 () (not @t620)) % 160.14/160.42 (define @t625 () (and @t611 @t620)) % 160.14/160.42 (assume @p1 @t20) % 160.14/160.42 (assume @p2 @t40) % 160.14/160.42 (assume @p3 @t47) % 160.14/160.42 (assume @p4 @t52) % 160.14/160.42 (assume @p5 @t67) % 160.14/160.42 (assume @p6 true) % 160.14/160.42 (step @p7 (= tptp.singleton @t73) :rule refl :args (@t73)) % 160.14/160.42 (step @p8 (= tptp.ex1 @t78) :rule refl :args (@t78)) % 160.14/160.42 (step @p9 (= tptp.breln @t82) :rule refl :args (@t82)) % 160.14/160.42 (step @p10 (= tptp.func @t90) :rule refl :args (@t90)) % 160.14/160.42 (step @p11 :rule bool-double-not-elim :args (@t146)) % 160.14/160.42 (step @p12 :rule refl :args (@t150)) % 160.14/160.42 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or @t150 (not @t149)))) % 160.14/160.42 (step @p14 :rule cnf_or_neg :args (@t150 0)) % 160.14/160.42 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 160.14/160.42 (step @p16 :rule reordering :premises (@p15) :args ((or @t146 @t150))) % 160.14/160.42 (step @p17 :rule bool-double-not-elim :args (@t147)) % 160.14/160.42 (step @p18 :rule nary_cong :premises (@p12 @p17) :args ((or @t150 (not @t148)))) % 160.14/160.42 (step @p19 :rule cnf_or_neg :args (@t150 1)) % 160.14/160.42 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 160.14/160.42 (step @p21 :rule reordering :premises (@p20) :args ((or @t147 @t150))) % 160.14/160.42 (step @p22 :rule eq-symm :args (@t95 @t106)) % 160.14/160.42 (step @p23 :rule cong :premises (@p22) :args (@t151)) % 160.14/160.42 (step @p24 :rule refl :args (@t111)) % 160.14/160.42 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t152)) % 160.14/160.42 (step @p26 :rule cong :premises (@p25) :args (@t153)) % 160.14/160.42 (step @p27 :rule cong :premises (@p26) :args (@t154)) % 160.14/160.42 (step @p28 :rule refl :args (@t113)) % 160.14/160.42 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t155)) % 160.14/160.42 (step @p30 :rule refl :args (@t124)) % 160.14/160.42 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t156)) % 160.14/160.42 (step @p32 :rule refl :args (@t127)) % 160.14/160.42 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t157)) % 160.14/160.42 (step @p34 :rule cong :premises (@p33) :args (@t158)) % 160.14/160.42 (step @p35 :rule refl :args (@t165)) % 160.14/160.42 (step @p36 :rule cong :premises (@p35 @p34) :args (@t166)) % 160.14/160.42 (step @p37 :rule refl :args (@t167)) % 160.14/160.42 (step @p38 :rule cong :premises (@p37 @p36) :args (@t168)) % 160.14/160.42 (step @p39 :rule refl :args (@t170)) % 160.14/160.42 (step @p40 :rule cong :premises (@p39 @p38) :args (@t171)) % 160.14/160.42 (step @p41 :rule eq-symm :args (@t173 @t175)) % 160.14/160.42 (step @p42 :rule cong :premises (@p41) :args (@t176)) % 160.14/160.42 (step @p43 :rule refl :args (@t178)) % 160.14/160.42 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t179)) % 160.14/160.42 (step @p45 :rule cong :premises (@p44) :args (@t181)) % 160.14/160.42 (step @p46 :rule cong :premises (@p45) :args (@t182)) % 160.14/160.42 (step @p47 :rule refl :args (@t184)) % 160.14/160.42 (step @p48 :rule refl :args (@t185)) % 160.14/160.42 (step @p49 :rule refl :args (@t126)) % 160.14/160.42 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47 @p46) :args (@t186)) % 160.14/160.42 (step @p51 :rule cong :premises (@p50) :args (@t188)) % 160.14/160.42 (step @p52 :rule cong :premises (@p51 @p40) :args (@t189)) % 160.14/160.42 (step @p53 :rule cong :premises (@p52) :args (@t190)) % 160.14/160.42 ; WARNING: add trust step for TRUST % 160.14/160.42 ; trust TRUST PREPROCESS_HO_ELIM % 160.14/160.42 (step @p54 :rule trust :premises () :args ((= @t227 @t190))) % 160.14/160.42 ; trust TRUST PREPROCESS_HO_ELIM % 160.14/160.42 (step @p55 :rule trust :premises () :args ((= (not (=> @t226 (=> @t216 (=> @t210 (=> @t209 @t241))))) @t227))) % 160.14/160.42 (step @p56 :rule refl :args (@t241)) % 160.14/160.42 (step @p57 :rule aci_norm :args ((= @t243 @t207))) % 160.14/160.42 (step @p58 :rule cong :premises (@p57) :args (@t244)) % 160.14/160.42 (step @p59 :rule quant-merge-prenex :args ((= (forall @t38 @t246) @t244))) % 160.14/160.42 (step @p60 :rule alpha_equiv :args (@t247 (@list @t159) @t248)) % 160.14/160.42 (step @p61 :rule refl :args (@t199)) % 160.14/160.42 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t249)) % 160.14/160.42 (step @p63 :rule quant-miniscope-or :args ((= @t246 @t249))) % 160.14/160.42 (step @p64 :rule trans :premises (@p63 @p62)) % 160.14/160.42 (step @p65 :rule symm :premises (@p64)) % 160.14/160.42 (step @p66 :rule cong :premises (@p65) :args ((forall @t38 (or @t199 @t255)))) % 160.14/160.42 (step @p67 :rule trans :premises (@p66 @p59)) % 160.14/160.42 (step @p68 :rule trans :premises (@p67 @p58)) % 160.14/160.42 (step @p69 :rule refl :args (@t255)) % 160.14/160.42 (step @p70 :rule refl :args (@t198)) % 160.14/160.42 (step @p71 :rule refl :args (@t16)) % 160.14/160.42 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t16 @t198))) % 160.14/160.42 (step @p73 :rule symm :premises (@p72)) % 160.14/160.42 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 160.14/160.42 (step @p75 :rule cong :premises (@p74) :args (@t256)) % 160.14/160.42 (step @p76 :rule nary_cong :premises (@p75 @p69) :args (@t257)) % 160.14/160.42 (step @p77 :rule cong :premises (@p76) :args ((forall @t38 @t257))) % 160.14/160.42 (step @p78 :rule trans :premises (@p77 @p68)) % 160.14/160.42 (step @p79 :rule bool-impl-elim :args (@t16 @t255)) % 160.14/160.42 (step @p80 :rule cong :premises (@p79) :args ((forall @t38 (=> @t16 @t255)))) % 160.14/160.42 (step @p81 :rule trans :premises (@p80 @p78)) % 160.14/160.42 (step @p82 :rule refl :args (@t250)) % 160.14/160.42 (step @p83 :rule lambda-elim :args ((= @t259 @t23))) % 160.14/160.42 (step @p84 :rule refl :args (@t27)) % 160.14/160.42 (step @p85 :rule refl :args (@t6)) % 160.14/160.42 (step @p86 :rule cong :premises (@p85 @p84 @p83) :args (@t260)) % 160.14/160.42 (step @p87 :rule refl :args (@t251)) % 160.14/160.42 (step @p88 :rule cong :premises (@p87 @p86) :args (@t261)) % 160.14/160.42 (step @p89 :rule cong :premises (@p88) :args (@t262)) % 160.14/160.42 (step @p90 :rule refl :args (@t254)) % 160.14/160.42 (step @p91 :rule nary_cong :premises (@p90 @p89 @p82) :args (@t263)) % 160.14/160.42 (step @p92 :rule cong :premises (@p91) :args ((forall @t4 @t263))) % 160.14/160.42 (step @p93 :rule refl 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@p542) :args (@t414)) % 160.14/160.42 (step @p544 :rule cong :premises (@p543) :args ((forall @t58 @t414))) % 160.14/160.42 (step @p545 :rule trans :premises (@p544 @p527)) % 160.14/160.42 (step @p546 :rule refl :args ((tptp.dpsetconstr @t6 @t27 @t416))) % 160.14/160.42 (step @p547 :rule refl :args (@t230)) % 160.14/160.42 (step @p548 :rule cong :premises (@p473 @p547) :args (@t400)) % 160.14/160.42 (step @p549 :rule cong :premises (@p548) :args (@t402)) % 160.14/160.42 (step @p550 :rule cong :premises (@p103 @p102 @p549) :args (@t403)) % 160.14/160.42 (step @p551 :rule trans :premises (@p550 @p546)) % 160.14/160.42 (step @p552 :rule ho_cong :premises (@p116 @p549)) % 160.14/160.42 (step @p553 :rule cong :premises (@p552 @p551) :args ((= (_ @t28 @t402) @t403))) % 160.14/160.42 (step @p554 :rule symm :premises (@p553)) % 160.14/160.42 (step @p555 :rule refl :args (@t417)) % 160.14/160.42 (step @p556 :rule eq_resolve :premises (@p555 @p554)) % 160.14/160.42 (step @p557 :rule cong :premises (@p495 @p547) :args (@t415)) % 160.14/160.42 (step @p558 :rule cong :premises (@p557) :args (@t416)) % 160.14/160.42 (step @p559 :rule ho_cong :premises (@p116 @p558)) % 160.14/160.42 (step @p560 :rule trans :premises (@p559 @p556)) % 160.14/160.42 (step @p561 :rule cong :premises (@p530 @p560) :args (@t418)) % 160.14/160.42 (step @p562 :rule cong :premises (@p561) :args (@t419)) % 160.14/160.42 (step @p563 :rule cong :premises (@p102 @p562) :args (@t420)) % 160.14/160.42 (step @p564 :rule cong :premises (@p534 @p563) :args (@t421)) % 160.14/160.42 (step @p565 :rule cong :premises (@p564) :args (@t422)) % 160.14/160.42 (step @p566 :rule cong :premises (@p537 @p563) :args (@t423)) % 160.14/160.42 (step @p567 :rule cong :premises (@p566) :args (@t424)) % 160.14/160.42 (step @p568 :rule nary_cong :premises (@p567 @p565) :args (@t425)) % 160.14/160.43 (step @p569 :rule cong :premises (@p568) :args ((forall @t112 @t425))) % 160.14/160.43 (step @p570 :rule eq-symm :args (@t230 @t54)) % 160.14/160.43 (step @p571 :rule cong :premises (@p570) :args (@t426)) % 160.14/160.43 (step @p572 :rule refl :args (@t28)) % 160.14/160.43 (step @p573 :rule ho_cong :premises (@p572 @p571)) % 160.14/160.43 (step @p574 :rule cong :premises (@p87 @p573) :args (@t427)) % 160.14/160.43 (step @p575 :rule cong :premises (@p574) :args (@t428)) % 160.14/160.43 ; WARNING: add trust step for TRUST_THEORY_REWRITE % 160.14/160.43 ; trust TRUST_THEORY_REWRITE % 160.14/160.43 (step @p576 :rule trust :premises () :args ((= @t429 @t428))) % 160.14/160.43 (step @p577 :rule trans :premises (@p576 @p575)) % 160.14/160.43 (step @p578 :rule cong :premises (@p84 @p577) :args (@t430)) % 160.14/160.43 (step @p579 :rule cong :premises (@p516 @p578) :args (@t431)) % 160.14/160.43 (step @p580 :rule cong :premises (@p579) :args (@t432)) % 160.14/160.43 (step @p581 :rule cong :premises (@p519 @p578) :args (@t433)) % 160.14/160.43 (step @p582 :rule cong :premises (@p581) :args (@t434)) % 160.14/160.43 (step @p583 :rule nary_cong :premises (@p582 @p580) :args (@t435)) % 160.14/160.43 (step @p584 :rule cong :premises (@p583) :args (@t436)) % 160.14/160.43 (step @p585 :rule trans :premises (@p584 @p569)) % 160.14/160.43 (step @p586 :rule cong :premises (@p585) :args (@t437)) % 160.14/160.43 (step @p587 :rule nary_cong :premises (@p525 @p586) :args (@t438)) % 160.14/160.43 (step @p588 :rule cong :premises (@p587) :args (@t439)) % 160.14/160.43 (step @p589 :rule trans :premises (@p588 @p545)) % 160.14/160.43 (step @p590 :rule refl :args (@t384)) % 160.14/160.43 (step @p591 :rule nary_cong :premises (@p590 @p589) :args (@t440)) % 160.14/160.43 (step @p592 :rule beta-reduce :args ((= (_ @t446 @t383) @t440))) % 160.14/160.43 (step @p593 :rule trans :premises (@p592 @p591)) % 160.14/160.43 (step @p594 :rule eq-symm :args (@t54 @t1)) % 160.14/160.43 (step @p595 :rule cong :premises (@p594) :args (@t55)) % 160.14/160.43 (step @p596 :rule ho_cong :premises (@p572 @p595)) % 160.14/160.43 (step @p597 :rule beta-reduce :args ((= (_ @t447 @t27) @t446))) % 160.14/160.43 (step @p598 :rule beta-reduce :args ((= @t448 @t447))) % 160.14/160.43 (step @p599 :rule ho_cong :premises (@p598 @p84)) % 160.14/160.43 (step @p600 :rule trans :premises (@p599 @p597)) % 160.14/160.43 (step @p601 :rule ho_cong :premises (@p600 @p596)) % 160.14/160.43 (step @p602 :rule trans :premises (@p601 @p593)) % 160.14/160.43 (step @p603 :rule refl :args ((tptp.in @t54 @t27))) % 160.14/160.43 (step @p604 :rule cong :premises (@p473 @p102) :args (@t197)) % 160.14/160.43 (step @p605 :rule trans :premises (@p604 @p603)) % 160.14/160.43 (step @p606 :rule ho_cong :premises (@p109 @p473)) % 160.14/160.43 (step @p607 :rule ho_cong :premises (@p606 @p102)) % 160.14/160.43 (step @p608 :rule cong :premises (@p607 @p605) :args ((= (_ (_ tptp.in @t196) @t27) @t197))) % 160.14/160.43 (step @p609 :rule symm :premises (@p608)) % 160.14/160.43 (step @p610 :rule refl :args (@t57)) % 160.14/160.43 (step @p611 :rule eq_resolve :premises (@p610 @p609)) % 160.14/160.43 (step @p612 :rule ho_cong :premises (@p109 @p495)) % 160.14/160.43 (step @p613 :rule ho_cong :premises (@p612 @p102)) % 160.14/160.43 (step @p614 :rule trans :premises (@p613 @p611)) % 160.14/160.43 (step @p615 :rule nary_cong :premises (@p75 @p614) :args (@t449)) % 160.14/160.43 (step @p616 :rule cong :premises (@p615) :args ((forall @t58 @t449))) % 160.14/160.43 (step @p617 :rule bool-impl-elim :args (@t16 @t57)) % 160.14/160.43 (step @p618 :rule cong :premises (@p617) :args (@t59)) % 160.14/160.43 (step @p619 :rule trans :premises (@p618 @p616)) % 160.14/160.43 (step @p620 :rule cong :premises (@p619 @p602) :args (@t450)) % 160.14/160.43 (step @p621 :rule cong :premises (@p620) :args (@t451)) % 160.14/160.43 (step @p622 :rule trans :premises (@p621 @p509)) % 160.14/160.43 (step @p623 :rule cong :premises (@p159 @p622) :args (@t452)) % 160.14/160.43 (step @p624 :rule cong :premises (@p210 @p623) :args (@t453)) % 160.14/160.43 (step @p625 :rule cong :premises (@p256 @p624) :args (@t454)) % 160.14/160.43 (step @p626 :rule cong :premises (@p370 @p625) :args (@t455)) % 160.14/160.43 (step @p627 :rule cong :premises (@p626) :args ((not @t455))) % 160.14/160.43 (step @p628 :rule refl :args (@t56)) % 160.14/160.43 (step @p629 :rule refl :args (@t443)) % 160.14/160.43 (step @p630 :rule nary_cong :premises (@p75 @p629) :args (@t456)) % 160.14/160.43 (step @p631 :rule cong :premises (@p630) :args ((forall @t58 @t456))) % 160.14/160.43 (step @p632 :rule bool-impl-elim :args (@t16 @t443)) % 160.14/160.43 (step @p633 :rule cong :premises (@p632) :args ((forall @t58 (=> @t16 @t443)))) % 160.14/160.43 (step @p634 :rule trans :premises (@p633 @p631)) % 160.14/160.43 (step @p635 :rule refl :args ((tptp.in @t30 @t83))) % 160.14/160.43 (step @p636 :rule refl :args (@t83)) % 160.14/160.43 (step @p637 :rule cong :premises (@p106 @p636) :args (@t441)) % 160.14/160.43 (step @p638 :rule trans :premises (@p637 @p635)) % 160.14/160.43 (step @p639 :rule ho_cong :premises (@p110 @p636)) % 160.14/160.43 (step @p640 :rule cong :premises (@p639 @p638) :args ((= (_ @t264 @t83) @t441))) % 160.14/160.43 (step @p641 :rule symm :premises (@p640)) % 160.14/160.43 (step @p642 :rule refl :args (@t84)) % 160.14/160.43 (step @p643 :rule eq_resolve :premises (@p642 @p641)) % 160.14/160.43 (step @p644 :rule ho_cong :premises (@p133 @p636)) % 160.14/160.43 (step @p645 :rule trans :premises (@p644 @p643)) % 160.14/160.43 (step @p646 :rule cong :premises (@p645) :args (@t85)) % 160.14/160.43 (step @p647 :rule cong :premises (@p102 @p646) :args (@t457)) % 160.14/160.43 (step @p648 :rule cong :premises (@p534 @p647) :args (@t458)) % 160.14/160.43 (step @p649 :rule cong :premises (@p648) :args (@t459)) % 160.14/160.43 (step @p650 :rule cong :premises (@p537 @p647) :args (@t460)) % 160.14/160.43 (step @p651 :rule cong :premises (@p650) :args (@t461)) % 160.14/160.43 (step @p652 :rule nary_cong :premises (@p651 @p649) :args (@t462)) % 160.14/160.43 (step @p653 :rule cong :premises (@p652) :args ((forall @t112 @t462))) % 160.14/160.43 (step @p654 :rule eq-symm :args (@t457 @t193)) % 160.14/160.43 (step @p655 :rule cong :premises (@p654) :args (@t463)) % 160.14/160.43 (step @p656 :rule refl :args (@t461)) % 160.14/160.43 (step @p657 :rule nary_cong :premises (@p656 @p655) :args (@t464)) % 160.14/160.43 (step @p658 :rule cong :premises (@p657) :args (@t465)) % 160.14/160.43 (step @p659 :rule trans :premises (@p658 @p653)) % 160.14/160.43 (step @p660 :rule cong :premises (@p659) :args (@t466)) % 160.14/160.43 (step @p661 :rule beta-reduce :args ((= (_ (lambda @t328 (not (forall @t112 (or @t468 (not (= @t467 @t193)))))) @t85) @t466))) % 160.14/160.43 (step @p662 :rule trans :premises (@p661 @p660)) % 160.14/160.43 (step @p663 :rule refl :args (@t85)) % 160.14/160.43 (step @p664 :rule eq-symm :args (@t193 @t467)) % 160.14/160.43 (step @p665 :rule cong :premises (@p664) :args (@t469)) % 160.14/160.43 (step @p666 :rule refl :args (@t468)) % 160.14/160.43 (step @p667 :rule nary_cong :premises (@p666 @p665) :args (@t470)) % 160.14/160.43 (step @p668 :rule cong :premises (@p667) :args (@t471)) % 160.14/160.43 (step @p669 :rule cong :premises (@p668) :args (@t472)) % 160.14/160.43 (step @p670 :rule cong :premises (@p669) :args ((lambda @t328 @t472))) % 160.14/160.43 (step @p671 :rule ho_cong :premises (@p670 @p663)) % 160.14/160.43 (step @p672 :rule trans :premises (@p671 @p662)) % 160.14/160.43 (step @p673 :rule refl :args (@t85)) % 160.14/160.43 (step @p674 :rule alpha_equiv :args (@t473 @t307 @t474)) % 160.14/160.43 (step @p675 :rule cong :premises (@p674) :args (@t475)) % 160.14/160.43 (step @p676 :rule cong :premises (@p675) :args (@t476)) % 160.14/160.43 (step @p677 :rule ho_cong :premises (@p676 @p673)) % 160.14/160.43 (step @p678 :rule trans :premises (@p677 @p672)) % 160.14/160.43 (step @p679 :rule beta-reduce :args ((= @t477 @t476))) % 160.14/160.43 (step @p680 :rule ho_cong :premises (@p679 @p663)) % 160.14/160.43 (step @p681 :rule trans :premises (@p680 @p678)) % 160.14/160.43 (step @p682 :rule cong :premises (@p155 @p681) :args (@t478)) % 160.14/160.43 (step @p683 :rule cong :premises (@p682) :args (@t479)) % 160.14/160.43 (step @p684 :rule trans :premises (@p683 @p634)) % 160.14/160.43 (step @p685 :rule beta-reduce :args ((= (_ @t273 @t83) @t444))) % 160.14/160.43 (step @p686 :rule refl :args (@t83)) % 160.14/160.43 (step @p687 :rule ho_cong :premises (@p205 @p686)) % 160.14/160.43 (step @p688 :rule trans :premises (@p687 @p685)) % 160.14/160.43 (step @p689 :rule nary_cong :premises (@p688 @p684) :args ((and (_ @t276 @t83) @t479))) % 160.14/160.43 (step @p690 :rule ho_cong :premises (@p444 @p84)) % 160.14/160.43 (step @p691 :rule ho_cong :premises (@p690 @p663)) % 160.14/160.43 (step @p692 :rule cong :premises (@p155 @p691) :args (@t86)) % 160.14/160.43 (step @p693 :rule cong :premises (@p692) :args (@t87)) % 160.14/160.43 (step @p694 :rule ho_cong :premises (@p213 @p686)) % 160.14/160.43 (step @p695 :rule nary_cong :premises (@p694 @p693) :args (@t88)) % 160.14/160.43 (step @p696 :rule trans :premises (@p695 @p689)) % 160.14/160.43 (step @p697 :rule cong :premises (@p696) :args (@t90)) % 160.14/160.43 (step @p698 :rule trans :premises (@p10 @p697)) % 160.14/160.43 (step @p699 :rule ho_cong :premises (@p698 @p85)) % 160.14/160.43 (step @p700 :rule ho_cong :premises (@p699 @p84)) % 160.14/160.43 (step @p701 :rule ho_cong :premises (@p700 @p628)) % 160.14/160.43 (step @p702 :rule refl :args (@t59)) % 160.14/160.43 (step @p703 :rule cong :premises (@p702 @p701) :args (@t60)) % 160.14/160.43 (step @p704 :rule cong :premises (@p703) :args (@t62)) % 160.14/160.43 (step @p705 :rule cong :premises (@p159 @p704) :args (@t63)) % 160.14/160.43 (step @p706 :rule cong :premises (@p210 @p705) :args (@t64)) % 160.14/160.43 (step @p707 :rule cong :premises (@p256 @p706) :args (@t65)) % 160.14/160.43 (step @p708 :rule cong :premises (@p370 @p707) :args (@t66)) % 160.14/160.43 (step @p709 :rule cong :premises (@p708) :args (@t67)) % 160.14/160.43 (step @p710 :rule trans :premises (@p709 @p627)) % 160.14/160.43 (step @p711 :rule trans :premises (@p710 @p456 @p55 @p54 @p53)) % 160.14/160.43 (step @p712 :rule eq_resolve :premises (@p5 @p711)) % 160.14/160.43 (step @p713 :rule not_implies_elim2 :premises (@p712)) % 160.14/160.43 (step @p714 :rule not_implies_elim2 :premises (@p713)) % 160.14/160.43 (step @p715 :rule not_implies_elim1 :premises (@p714)) % 160.14/160.43 (step @p716 :rule instantiate :premises (@p715) :args ((@list @t136 @t130 @t135))) % 160.14/160.43 (step @p717 :rule not_implies_elim2 :premises (@p714)) % 160.14/160.43 (step @p718 :rule not_implies_elim2 :premises (@p717)) % 160.14/160.43 (step @p719 :rule refl :args (@t492)) % 160.14/160.43 (step @p720 :rule bool-double-not-elim :args (@t129)) % 160.14/160.43 (step @p721 :rule nary_cong :premises (@p720 @p719) :args ((or (not @t493) @t492))) % 160.14/160.43 (step @p722 :rule eq-symm :args (@t480 @t95)) % 160.14/160.43 (step @p723 :rule cong :premises (@p722) :args (@t494)) % 160.14/160.43 (step @p724 :rule refl :args (@t481)) % 160.14/160.43 (step @p725 :rule nary_cong :premises (@p724 @p723) :args (@t495)) % 160.14/160.43 (step @p726 :rule cong :premises (@p725) :args (@t496)) % 160.14/160.43 (step @p727 :rule cong :premises (@p726) :args (@t497)) % 160.14/160.43 (step @p728 :rule refl :args (@t485)) % 160.14/160.43 (step @p729 :rule nary_cong :premises (@p728 @p727) :args (@t498)) % 160.14/160.43 (step @p730 :rule refl :args (@t487)) % 160.14/160.43 (step @p731 :rule nary_cong :premises (@p730 @p729) :args (@t499)) % 160.14/160.43 (step @p732 :rule refl :args (@t490)) % 160.14/160.43 (step @p733 :rule nary_cong :premises (@p732 @p731) :args (@t500)) % 160.14/160.43 (step @p734 :rule cong :premises (@p733) :args (@t501)) % 160.14/160.43 (step @p735 :rule refl :args (@t493)) % 160.14/160.43 (step @p736 :rule cong :premises (@p735 @p734) :args ((=> @t493 @t501))) % 160.14/160.43 (assume-push @p1076 @t493) % 160.14/160.43 (step @p738 :rule skolemize :premises (@p718)) % 160.14/160.43 (step-pop @p1077 :rule scope :premises (@p738)) % 160.14/160.43 (step @p739 :rule process_scope :premises (@p1077) :args (@t501)) % 160.14/160.43 (step @p741 :rule eq_resolve :premises (@p739 @p736)) % 160.14/160.43 (step @p742 :rule implies_elim :premises (@p741)) % 160.14/160.43 (step @p743 :rule eq_resolve :premises (@p742 @p721)) % 160.14/160.43 (step @p744 :rule chain_m_resolution :premises (@p743 @p718) :args (@t492 @t502 (@list @t129))) % 160.14/160.43 (step @p745 :rule cnf_or_neg :args (@t491 1)) % 160.14/160.43 (step @p746 :rule chain_m_resolution :premises (@p745 @p744) :args ((not @t488) @t502 @t503)) % 160.14/160.43 (step @p747 :rule cnf_and_neg :args (@t488)) % 160.14/160.43 (step @p748 :rule chain_m_resolution :premises (@p747 @p746 @p716) :args ((not @t486) (@list true false) (@list @t488 @t487))) % 160.14/160.43 (step @p749 :rule bool-double-not-elim :args (@t482)) % 160.14/160.43 (step @p750 :rule refl :args (@t486)) % 160.14/160.43 (step @p751 :rule nary_cong :premises (@p750 @p749) :args ((or @t486 (not @t483)))) % 160.14/160.43 (step @p752 :rule cnf_or_neg :args (@t486 1)) % 160.14/160.43 (step @p753 :rule eq_resolve :premises (@p752 @p751)) % 160.14/160.43 (step @p754 :rule reordering :premises (@p753) :args ((or @t482 @t486))) % 160.14/160.43 (step @p755 :rule chain_m_resolution :premises (@p754 @p748) :args (@t482 @t502 @t504)) % 160.14/160.43 (step @p756 :rule alpha_equiv :args (@t482 @t474 @t308)) % 160.14/160.43 (step @p757 :rule equiv_elim1 :premises (@p756)) % 160.14/160.43 (step @p758 :rule chain_m_resolution :premises (@p757 @p755) :args (@t505 @t506 (@list @t482))) % 160.14/160.43 (step @p759 :rule not_implies_elim1 :premises (@p712)) % 160.14/160.43 (step @p760 :rule refl :args (@t507)) % 160.14/160.43 (step @p761 :rule eq-symm :args (@t145 @t1)) % 160.14/160.43 (step @p762 :rule refl :args (@t143)) % 160.14/160.43 (step @p763 :rule refl :args (@t140)) % 160.14/160.43 (step @p764 :rule nary_cong :premises (@p763 @p762 @p761) :args (@t508)) % 160.14/160.43 (step @p765 :rule cong :premises (@p764) :args (@t509)) % 160.14/160.43 (step @p766 :rule cong :premises (@p765) :args (@t510)) % 160.14/160.43 (step @p767 :rule refl :args (@t148)) % 160.14/160.43 (step @p768 :rule refl :args (@t149)) % 160.14/160.43 (step @p769 :rule nary_cong :premises (@p768 @p767 @p766 @p760) :args (@t511)) % 160.14/160.43 (step @p770 :rule refl :args (@t512)) % 160.14/160.43 (step @p771 :rule cong :premises (@p770 @p769) :args ((=> @t512 @t511))) % 160.14/160.43 (assume-push @p1078 @t512) % 160.14/160.43 (step @p773 :rule instantiate :premises (@p759) :args ((@list @t130 @t142 @t145))) % 160.14/160.43 (step-pop @p1079 :rule scope :premises (@p773)) % 160.14/160.43 (step @p774 :rule process_scope :premises (@p1079) :args (@t511)) % 160.14/160.43 (step @p776 :rule eq_resolve :premises (@p774 @p771)) % 160.14/160.43 (step @p777 :rule implies_elim :premises (@p776)) % 160.14/160.43 (step @p778 :rule chain_m_resolution :premises (@p777 @p759) :args (@t515 @t506 @t516)) % 160.14/160.43 (step @p779 :rule cnf_or_pos :args (@t515)) % 160.14/160.43 (step @p780 :rule reordering :premises (@p779) :args ((or @t507 @t149 @t148 @t514 (not @t515)))) % 160.14/160.43 (step @p781 :rule eq-symm :args (@t522 @t524)) % 160.14/160.43 (step @p782 :rule cong :premises (@p781) :args (@t526)) % 160.14/160.43 ; trust TRUST PREPROCESS_HO_ELIM % 160.14/160.43 (step @p783 :rule trust :premises () :args ((= @t529 @t526))) % 160.14/160.43 (step @p784 :rule trans :premises (@p783 @p782)) % 160.14/160.43 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 160.14/160.43 (step @p785 :rule trust :premises () :args (@t529)) % 160.14/160.43 (step @p786 :rule eq_resolve :premises (@p785 @p784)) % 160.14/160.43 (step @p787 :rule eq-symm :args (@t533 @t147)) % 160.14/160.43 (step @p788 :rule refl :args (@t534)) % 160.14/160.43 (step @p789 :rule cong :premises (@p788 @p787) :args ((=> @t534 @t535))) % 160.14/160.43 (assume-push @p1080 @t534) % 160.14/160.43 (step @p791 :rule instantiate :premises (@p786) :args ((@list @t131 @t130 @t136 @t132 @t145))) % 160.14/160.43 (step-pop @p1081 :rule scope :premises (@p791)) % 160.14/160.43 (step @p792 :rule process_scope :premises (@p1081) :args (@t535)) % 160.14/160.43 (step @p794 :rule eq_resolve :premises (@p792 @p789)) % 160.14/160.43 (step @p795 :rule implies_elim :premises (@p794)) % 160.14/160.43 (step @p796 :rule chain_m_resolution :premises (@p795 @p786) :args (@t536 @t506 @t537)) % 160.14/160.43 (step @p797 :rule cnf_equiv_pos1 :args (@t536)) % 160.14/160.43 (step @p798 :rule reordering :premises (@p797) :args ((or @t148 @t533 (not @t536)))) % 160.14/160.43 (step @p799 :rule refl :args (@t545)) % 160.14/160.43 (step @p800 :rule bool-double-not-elim :args (@t513)) % 160.14/160.43 (step @p801 :rule nary_cong :premises (@p800 @p799) :args ((or (not @t514) @t545))) % 160.14/160.43 (step @p802 :rule eq-symm :args (@t538 @t145)) % 160.14/160.43 (step @p803 :rule refl :args (@t541)) % 160.14/160.43 (step @p804 :rule refl :args (@t543)) % 160.14/160.43 (step @p805 :rule nary_cong :premises (@p804 @p803 @p802) :args (@t546)) % 160.14/160.43 (step @p806 :rule cong :premises (@p805) :args (@t547)) % 160.14/160.43 (step @p807 :rule refl :args (@t514)) % 160.14/160.43 (step @p808 :rule cong :premises (@p807 @p806) :args ((=> @t514 @t547))) % 160.14/160.43 (assume-push @p1082 @t514) % 160.14/160.43 (step @p810 :rule skolemize :premises (@p1082)) % 160.14/160.43 (step-pop @p1083 :rule scope :premises (@p810)) % 160.14/160.43 (step @p811 :rule process_scope :premises (@p1083) :args (@t547)) % 160.14/160.43 (step @p813 :rule eq_resolve :premises (@p811 @p808)) % 160.14/160.43 (step @p814 :rule implies_elim :premises (@p813)) % 160.14/160.43 (step @p815 :rule eq_resolve :premises (@p814 @p801)) % 160.14/160.43 (step @p816 :rule bool-double-not-elim :args (@t484)) % 160.14/160.43 (step @p817 :rule nary_cong :premises (@p750 @p816) :args ((or @t486 (not @t485)))) % 160.14/160.43 (step @p818 :rule cnf_or_neg :args (@t486 0)) % 160.14/160.43 (step @p819 :rule eq_resolve :premises (@p818 @p817)) % 160.14/160.43 (step @p820 :rule reordering :premises (@p819) :args ((or @t484 @t486))) % 160.14/160.43 (step @p821 :rule chain_m_resolution :premises (@p820 @p748) :args (@t484 @t502 @t504)) % 160.14/160.43 (step @p822 :rule not_implies_elim1 :premises (@p717)) % 160.14/160.43 (step @p823 :rule instantiate :premises (@p822) :args ((@list @t136 @t130 @t530 @t131 @t145))) % 160.14/160.43 (step @p824 :rule cnf_or_pos :args (@t551)) % 160.14/160.43 (step @p825 :rule reordering :premises (@p824) :args ((or @t485 @t149 @t550 @t549 (not @t551)))) % 160.14/160.43 (step @p826 :rule bool-double-not-elim :args (@t542)) % 160.14/160.43 (step @p827 :rule refl :args (@t544)) % 160.14/160.43 (step @p828 :rule nary_cong :premises (@p827 @p826) :args ((or @t544 (not @t543)))) % 160.14/160.43 (step @p829 :rule cnf_or_neg :args (@t544 0)) % 160.14/160.43 (step @p830 :rule eq_resolve :premises (@p829 @p828)) % 160.14/160.43 (step @p831 :rule reordering :premises (@p830) :args ((or @t542 @t544))) % 160.14/160.43 (step @p832 :rule bool-double-not-elim :args (@t540)) % 160.14/160.43 (step @p833 :rule nary_cong :premises (@p827 @p832) :args ((or @t544 (not @t541)))) % 160.14/160.43 (step @p834 :rule cnf_or_neg :args (@t544 1)) % 160.14/160.43 (step @p835 :rule eq_resolve :premises (@p834 @p833)) % 160.14/160.43 (step @p836 :rule reordering :premises (@p835) :args ((or @t540 @t544))) % 160.14/160.43 (step @p837 :rule cnf_or_neg :args (@t544 2)) % 160.14/160.43 (step @p838 :rule eq-symm :args (@t555 @t556)) % 160.14/160.43 (step @p839 :rule cong :premises (@p838) :args (@t558)) % 160.14/160.43 ; trust TRUST PREPROCESS_HO_ELIM % 160.14/160.43 (step @p840 :rule trust :premises () :args ((= @t560 @t558))) % 160.14/160.43 (step @p841 :rule trans :premises (@p840 @p839)) % 160.14/160.43 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 160.14/160.43 (step @p842 :rule trust :premises () :args (@t560)) % 160.14/160.43 (step @p843 :rule eq_resolve :premises (@p842 @p841)) % 160.14/160.43 (step @p844 :rule refl :args (@t549)) % 160.14/160.43 (step @p845 :rule eq-symm :args (@t145 @t133)) % 160.14/160.43 (step @p846 :rule cong :premises (@p845 @p844) :args ((= @t561 @t549))) % 160.14/160.43 (step @p847 :rule eq-symm :args (@t549 @t561)) % 160.14/160.43 (step @p848 :rule trans :premises (@p847 @p846)) % 160.14/160.43 (step @p849 :rule refl :args (@t562)) % 160.14/160.43 (step @p850 :rule cong :premises (@p849 @p848) :args ((=> @t562 @t563))) % 160.14/160.43 (assume-push @p1084 @t562) % 160.14/160.43 (step @p852 :rule instantiate :premises (@p843) :args ((@list @t132 @t131 @t145))) % 160.14/160.43 (step-pop @p1085 :rule scope :premises (@p852)) % 160.14/160.43 (step @p853 :rule process_scope :premises (@p1085) :args (@t563)) % 160.14/160.43 (step @p855 :rule eq_resolve :premises (@p853 @p850)) % 160.14/160.43 (step @p856 :rule implies_elim :premises (@p855)) % 160.14/160.43 (step @p857 :rule chain_m_resolution :premises (@p856 @p843) :args (@t565 @t506 @t566)) % 160.14/160.43 (step @p858 :rule cnf_equiv_pos2 :args (@t565)) % 160.14/160.43 (step @p859 :rule reordering :premises (@p858) :args ((or @t564 (not @t549) (not @t565)))) % 160.14/160.43 (step @p860 :rule eq-symm :args (@t567 @t540)) % 160.14/160.43 (step @p861 :rule cong :premises (@p788 @p860) :args ((=> @t534 @t568))) % 160.14/160.43 (assume-push @p1086 @t534) % 160.14/160.43 (step @p863 :rule instantiate :premises (@p786) :args ((@list @t131 @t130 @t136 @t132 @t538))) % 160.14/160.43 (step-pop @p1087 :rule scope :premises (@p863)) % 160.14/160.43 (step @p864 :rule process_scope :premises (@p1087) :args (@t568)) % 160.14/160.43 (step @p866 :rule eq_resolve :premises (@p864 @p861)) % 160.14/160.43 (step @p867 :rule implies_elim :premises (@p866)) % 160.14/160.43 (step @p868 :rule chain_m_resolution :premises (@p867 @p786) :args (@t569 @t506 @t537)) % 160.14/160.43 (step @p869 :rule cnf_equiv_pos1 :args (@t569)) % 160.14/160.43 (step @p870 :rule reordering :premises (@p869) :args ((or @t541 @t567 (not @t569)))) % 160.14/160.43 (step @p871 :rule refl :args (@t571)) % 160.14/160.43 (step @p872 :rule bool-double-not-elim :args (@t539)) % 160.14/160.43 (step @p873 :rule refl :args (@t572)) % 160.14/160.43 (step @p874 :rule nary_cong :premises (@p873 @p872 @p871) :args ((or @t572 (not @t573) @t571))) % 160.14/160.43 (assume-push @p1088 @t564) % 160.14/160.43 (assume-push @p1089 @t573) % 160.14/160.43 (assume-push @p1090 @t573) % 160.14/160.43 (assume-push @p1091 @t564) % 160.14/160.43 (step @p879 :rule false_intro :premises (@p1089)) % 160.14/160.43 (step @p880 :rule refl :args (@t538)) % 160.14/160.43 (step @p881 :rule cong :premises (@p1088 @p880) :args (@t570)) % 160.14/160.43 (step @p882 :rule trans :premises (@p881 @p879)) % 160.14/160.43 (step @p883 :rule false_elim :premises (@p882)) % 160.14/160.43 (step-pop @p1092 :rule scope :premises (@p883)) % 160.14/160.43 (step-pop @p1093 :rule scope :premises (@p1092)) % 160.14/160.43 (step @p884 :rule process_scope :premises (@p1093) :args (@t571)) % 160.14/160.43 (step @p887 :rule and_intro :premises (@p1089 @p1088)) % 160.14/160.43 (step @p888 :rule modus_ponens :premises (@p887 @p884)) % 160.14/160.43 (step-pop @p1094 :rule scope :premises (@p888)) % 160.14/160.43 (step-pop @p1095 :rule scope :premises (@p1094)) % 160.14/160.43 (step @p889 :rule process_scope :premises (@p1095) :args (@t571)) % 160.14/160.43 (step @p892 :rule implies_elim :premises (@p889)) % 160.14/160.43 (step @p893 :rule cnf_and_neg :args (@t574)) % 160.14/160.43 (step @p894 :rule resolution :premises (@p893 @p892) :args (true @t574)) % 160.14/160.43 (step @p895 :rule eq_resolve :premises (@p894 @p874)) % 160.14/160.43 (step @p896 :rule instantiate :premises (@p822) :args ((@list @t136 @t130 @t530 @t131 @t538))) % 160.14/160.43 (step @p897 :rule cnf_or_pos :args (@t577)) % 160.14/160.43 (step @p898 :rule reordering :premises (@p897) :args ((or @t485 @t543 @t575 @t576 (not @t577)))) % 160.14/160.43 (step @p899 :rule bool-double-not-elim :args (@t580)) % 160.14/160.43 (step @p900 :rule refl :args (@t584)) % 160.14/160.43 (step @p901 :rule nary_cong :premises (@p900 @p899) :args ((or @t584 (not @t582)))) % 160.14/160.43 (step @p902 :rule cnf_or_neg :args (@t584 1)) % 160.14/160.43 (step @p903 :rule eq_resolve :premises (@p902 @p901)) % 160.14/160.43 (step @p904 :rule reordering :premises (@p903) :args ((or @t580 @t584))) % 160.14/160.43 (step @p905 :rule cnf_or_neg :args (@t584 2)) % 160.14/160.43 (step @p906 :rule eq-symm :args (@t579 @t133)) % 160.14/160.43 (step @p907 :rule refl :args (@t580)) % 160.14/160.43 (step @p908 :rule cong :premises (@p907 @p906) :args (@t586)) % 160.14/160.43 (step @p909 :rule cong :premises (@p849 @p908) :args ((=> @t562 @t586))) % 160.14/160.43 (assume-push @p1096 @t562) % 160.14/160.43 (step @p911 :rule instantiate :premises (@p843) :args ((@list @t132 @t131 @t579))) % 160.14/160.43 (step-pop @p1097 :rule scope :premises (@p911)) % 160.14/160.43 (step @p912 :rule process_scope :premises (@p1097) :args (@t586)) % 160.14/160.43 (step @p914 :rule eq_resolve :premises (@p912 @p909)) % 160.14/160.43 (step @p915 :rule implies_elim :premises (@p914)) % 160.14/160.43 (step @p916 :rule chain_m_resolution :premises (@p915 @p843) :args (@t587 @t506 @t566)) % 160.14/160.43 (step @p917 :rule cnf_equiv_pos1 :args (@t587)) % 160.14/160.43 (step @p918 :rule reordering :premises (@p917) :args ((or @t582 @t581 (not @t587)))) % 160.14/160.43 (step @p919 :rule chain_m_resolution :premises (@p918 @p916 @p905 @p904) :args (@t584 (@list false true false) (@list @t587 @t581 @t580))) % 160.14/160.43 (step @p920 :rule refl :args (@t588)) % 160.14/160.43 (step @p921 :rule bool-double-not-elim :args (@t578)) % 160.14/160.43 (step @p922 :rule nary_cong :premises (@p921 @p920) :args ((or (not @t589) @t588))) % 160.14/160.43 (step @p923 :rule refl :args (@t582)) % 160.14/160.43 (step @p924 :rule refl :args (@t583)) % 160.14/160.43 (step @p925 :rule nary_cong :premises (@p924 @p923 @p906) :args (@t590)) % 160.14/160.43 (step @p926 :rule cong :premises (@p925) :args (@t591)) % 160.14/160.43 (step @p927 :rule refl :args (@t589)) % 160.14/160.43 (step @p928 :rule cong :premises (@p927 @p926) :args ((=> @t589 @t591))) % 160.14/160.43 (assume-push @p1098 @t589) % 160.14/160.43 (step @p930 :rule skolemize :premises (@p1098)) % 160.14/160.43 (step-pop @p1099 :rule scope :premises (@p930)) % 160.14/160.43 (step @p931 :rule process_scope :premises (@p1099) :args (@t591)) % 160.14/160.43 (step @p933 :rule eq_resolve :premises (@p931 @p928)) % 160.14/160.43 (step @p934 :rule implies_elim :premises (@p933)) % 160.14/160.43 (step @p935 :rule eq_resolve :premises (@p934 @p922)) % 160.14/160.43 (step @p936 :rule chain_m_resolution :premises (@p935 @p919) :args (@t578 @t506 (@list @t584))) % 160.14/160.43 (step @p937 :rule eq-symm :args (@t538 @t133)) % 160.14/160.43 (step @p938 :rule refl :args (@t592)) % 160.14/160.43 (step @p939 :rule nary_cong :premises (@p804 @p938 @p937) :args (@t593)) % 160.14/160.43 (step @p940 :rule refl :args (@t578)) % 160.14/160.43 (step @p941 :rule cong :premises (@p940 @p939) :args ((=> @t578 @t593))) % 160.14/160.43 (assume-push @p1100 @t578) % 160.14/160.43 (step @p943 :rule instantiate :premises (@p1100) :args ((@list @t538))) % 160.14/160.43 (step-pop @p1101 :rule scope :premises (@p943)) % 160.14/160.43 (step @p944 :rule process_scope :premises (@p1101) :args (@t593)) % 160.14/160.43 (step @p946 :rule eq_resolve :premises (@p944 @p941)) % 160.14/160.43 (step @p947 :rule implies_elim :premises (@p946)) % 160.14/160.43 (step @p948 :rule chain_m_resolution :premises (@p947 @p936) :args (@t594 @t506 (@list @t578))) % 160.14/160.43 (step @p949 :rule cnf_or_pos :args (@t594)) % 160.14/160.43 (step @p950 :rule reordering :premises (@p949) :args ((or @t543 @t570 @t592 (not @t594)))) % 160.14/160.43 (step @p951 :rule chain_m_resolution :premises (@p950 @p948 @p898 @p896 @p821 @p895 @p870 @p868 @p859 @p857 @p837 @p836 @p831 @p825 @p823 @p821 @p815 @p798 @p796 @p780 @p778 @p758 @p21 @p16) :args (@t150 (@list false false false false true false false false false true false false false false false true false false true false false false false) (@list @t594 @t575 @t577 @t484 @t570 @t567 @t569 @t564 @t565 @t539 @t540 @t542 @t549 @t551 @t484 @t544 @t533 @t536 @t513 @t515 @t505 @t147 @t146))) % 160.14/160.43 (step @p952 :rule refl :args (@t595)) % 160.14/160.43 (step @p953 :rule bool-double-not-elim :args (@t144)) % 160.14/160.43 (step @p954 :rule nary_cong :premises (@p953 @p952) :args ((or (not @t596) @t595))) % 160.14/160.43 (step @p955 :rule eq-symm :args (@t145 @t141)) % 160.14/160.43 (step @p956 :rule nary_cong :premises (@p768 @p767 @p955) :args (@t597)) % 160.14/160.43 (step @p957 :rule cong :premises (@p956) :args (@t598)) % 160.14/160.43 (step @p958 :rule refl :args (@t596)) % 160.14/160.43 (step @p959 :rule cong :premises (@p958 @p957) :args ((=> @t596 @t598))) % 160.14/160.43 (assume-push @p1102 @t596) % 160.14/160.43 (step @p961 :rule skolemize :premises (@p1102)) % 160.14/160.43 (step-pop @p1103 :rule scope :premises (@p961)) % 160.14/160.43 (step @p962 :rule process_scope :premises (@p1103) :args (@t598)) % 160.14/160.43 (step @p964 :rule eq_resolve :premises (@p962 @p959)) % 160.14/160.43 (step @p965 :rule implies_elim :premises (@p964)) % 160.14/160.43 (step @p966 :rule eq_resolve :premises (@p965 @p954)) % 160.14/160.43 (step @p967 :rule chain_m_resolution :premises (@p966 @p951) :args (@t144 @t506 (@list @t150))) % 160.14/160.43 (step @p968 :rule eq-symm :args (@t141 @t1)) % 160.14/160.43 (step @p969 :rule nary_cong :premises (@p763 @p762 @p968) :args (@t599)) % 160.14/160.43 (step @p970 :rule cong :premises (@p969) :args (@t600)) % 160.14/160.43 (step @p971 :rule cong :premises (@p970) :args (@t601)) % 160.14/160.43 (step @p972 :rule refl :args (@t603)) % 160.14/160.43 (step @p973 :rule refl :args (@t606)) % 160.14/160.43 (step @p974 :rule nary_cong :premises (@p973 @p972 @p971 @p760) :args (@t607)) % 160.14/160.43 (step @p975 :rule cong :premises (@p770 @p974) :args ((=> @t512 @t607))) % 160.14/160.43 (assume-push @p1104 @t512) % 160.14/160.43 (step @p977 :rule instantiate :premises (@p759) :args ((@list @t130 @t142 @t141))) % 160.14/160.43 (step-pop @p1105 :rule scope :premises (@p977)) % 160.14/160.43 (step @p978 :rule process_scope :premises (@p1105) :args (@t607)) % 160.14/160.43 (step @p980 :rule eq_resolve :premises (@p978 @p975)) % 160.14/160.43 (step @p981 :rule implies_elim :premises (@p980)) % 160.14/160.43 (step @p982 :rule chain_m_resolution :premises (@p981 @p759) :args (@t608 @t506 @t516)) % 160.14/160.43 (step @p983 :rule instantiate :premises (@p786) :args ((@list @t131 @t130 @t136 @t132 @t133))) % 160.14/160.43 (step @p984 :rule not_implies_elim1 :premises (@p713)) % 160.14/160.43 (step @p985 :rule instantiate :premises (@p984) :args ((@list @t136 @t130 @t530 @t131 @t133))) % 160.14/160.43 (step @p986 :rule bool-eq-true :args (@t609)) % 160.14/160.43 (step @p987 :rule eq-refl :args (@t133)) % 160.14/160.43 (step @p988 :rule refl :args (@t609)) % 160.14/160.43 (step @p989 :rule cong :premises (@p988 @p987) :args (@t610)) % 160.14/160.43 (step @p990 :rule trans :premises (@p989 @p986)) % 160.14/160.43 (step @p991 :rule cong :premises (@p849 @p990) :args ((=> @t562 @t610))) % 160.14/160.43 (assume-push @p1106 @t562) % 160.14/160.43 (step @p993 :rule instantiate :premises (@p843) :args ((@list @t132 @t131 @t133))) % 160.14/160.43 (step-pop @p1107 :rule scope :premises (@p993)) % 160.14/160.43 (step @p994 :rule process_scope :premises (@p1107) :args (@t610)) % 160.14/160.43 (step @p996 :rule eq_resolve :premises (@p994 @p991)) % 160.14/160.43 (step @p997 :rule implies_elim :premises (@p996)) % 160.14/160.43 (step @p998 :rule chain_m_resolution :premises (@p997 @p843) :args (@t609 @t506 @t566)) % 160.14/160.43 (step @p999 :rule bool-double-not-elim :args (@t489)) % 160.14/160.43 (step @p1000 :rule refl :args (@t491)) % 160.14/160.43 (step @p1001 :rule nary_cong :premises (@p1000 @p999) :args ((or @t491 (not @t490)))) % 160.14/160.43 (step @p1002 :rule cnf_or_neg :args (@t491 0)) % 160.14/160.43 (step @p1003 :rule eq_resolve :premises (@p1002 @p1001)) % 160.14/160.43 (step @p1004 :rule reordering :premises (@p1003) :args ((or @t489 @t491))) % 160.14/160.43 (step @p1005 :rule chain_m_resolution :premises (@p1004 @p744) :args (@t489 @t502 @t503)) % 160.14/160.43 (step @p1006 :rule instantiate :premises (@p1005) :args ((@list @t131))) % 160.14/160.43 (step @p1007 :rule cnf_or_pos :args (@t612)) % 160.14/160.43 (step @p1008 :rule reordering :premises (@p1007) :args ((or @t485 @t611 (not @t612)))) % 160.14/160.43 (step @p1009 :rule chain_m_resolution :premises (@p1008 @p821 @p1006) :args (@t611 @t613 (@list @t484 @t612))) % 160.14/160.43 (step @p1010 :rule cnf_or_pos :args (@t617)) % 160.14/160.43 (step @p1011 :rule reordering :premises (@p1010) :args ((or @t485 @t616 @t615 @t614 (not @t617)))) % 160.14/160.43 (step @p1012 :rule chain_m_resolution :premises (@p1011 @p821 @p1009 @p998 @p985) :args (@t614 (@list false false false false) (@list @t484 @t611 @t609 @t617))) % 160.14/160.43 (step @p1013 :rule cnf_equiv_pos1 :args (@t619)) % 160.14/160.43 (step @p1014 :rule reordering :premises (@p1013) :args ((or @t618 (not @t614) (not @t619)))) % 160.14/160.43 (step @p1015 :rule chain_m_resolution :premises (@p1014 @p1012 @p983) :args (@t618 @t613 (@list @t614 @t619))) % 160.14/160.43 (assume-push @p1108 @t144) % 160.14/160.43 (step @p1017 :rule instantiate :premises (@p1108) :args ((@list @t133))) % 160.14/160.43 (step-pop @p1109 :rule scope :premises (@p1017)) % 160.14/160.43 (step @p1018 :rule process_scope :premises (@p1109) :args (@t622)) % 160.14/160.43 (step @p1020 :rule implies_elim :premises (@p1018)) % 160.14/160.43 (step @p1021 :rule chain_m_resolution :premises (@p1020 @p967) :args (@t622 @t506 (@list @t144))) % 160.14/160.43 (step @p1022 :rule cnf_or_pos :args (@t622)) % 160.14/160.43 (step @p1023 :rule reordering :premises (@p1022) :args ((or @t616 @t620 @t621 (not @t622)))) % 160.14/160.43 (step @p1024 :rule chain_m_resolution :premises (@p1023 @p1009 @p1015 @p1021) :args (@t620 (@list false false false) (@list @t611 @t618 @t622))) % 160.14/160.43 (assume-push @p1110 @t620) % 160.14/160.43 (assume-push @p1111 @t618) % 160.14/160.43 (assume-push @p1112 @t618) % 160.14/160.43 (assume-push @p1113 @t620) % 160.14/160.43 (step @p1029 :rule true_intro :premises (@p1015)) % 160.14/160.43 (step @p1030 :rule symm :premises (@p1110)) % 160.14/160.43 (step @p1031 :rule refl :args (@t142)) % 160.14/160.43 (step @p1032 :rule cong :premises (@p1031 @p1030) :args (@t602)) % 160.14/160.43 (step @p1033 :rule trans :premises (@p1032 @p1029)) % 160.14/160.43 (step @p1034 :rule true_elim :premises (@p1033)) % 160.14/160.43 (step-pop @p1114 :rule scope :premises (@p1034)) % 160.14/160.43 (step-pop @p1115 :rule scope :premises (@p1114)) % 160.14/160.43 (step @p1035 :rule process_scope :premises (@p1115) :args (@t602)) % 160.14/160.43 (step @p1038 :rule and_intro :premises (@p1015 @p1110)) % 160.14/160.43 (step @p1039 :rule modus_ponens :premises (@p1038 @p1035)) % 160.14/160.43 (step-pop @p1116 :rule scope :premises (@p1039)) % 160.14/160.43 (step-pop @p1117 :rule scope :premises (@p1116)) % 160.14/160.43 (step @p1040 :rule process_scope :premises (@p1117) :args (@t602)) % 160.14/160.43 (step @p1043 :rule implies_elim :premises (@p1040)) % 160.14/160.43 (step @p1044 :rule cnf_and_neg :args (@t623)) % 160.14/160.43 (step @p1045 :rule resolution :premises (@p1044 @p1043) :args (true @t623)) % 160.14/160.43 (step @p1046 :rule reordering :premises (@p1045) :args ((or @t624 @t602 @t621))) % 160.14/160.43 (step @p1047 :rule chain_m_resolution :premises (@p1046 @p1024 @p1015) :args (@t602 @t613 (@list @t620 @t618))) % 160.14/160.43 (assume-push @p1118 @t611) % 160.14/160.43 (assume-push @p1119 @t620) % 160.14/160.43 (assume-push @p1120 @t611) % 160.14/160.43 (assume-push @p1121 @t620) % 160.14/160.43 (step @p1052 :rule true_intro :premises (@p1009)) % 160.14/160.43 (step @p1053 :rule refl :args (@t130)) % 160.14/160.43 (step @p1054 :rule symm :premises (@p1119)) % 160.14/160.43 (step @p1055 :rule refl :args (@t107)) % 160.14/160.43 (step @p1056 :rule cong :premises (@p1055 @p1054) :args (@t604)) % 160.14/160.43 (step @p1057 :rule cong :premises (@p1056 @p1053) :args (@t605)) % 160.14/160.43 (step @p1058 :rule trans :premises (@p1057 @p1052)) % 160.14/160.43 (step @p1059 :rule true_elim :premises (@p1058)) % 160.14/160.43 (step-pop @p1122 :rule scope :premises (@p1059)) % 160.14/160.43 (step-pop @p1123 :rule scope :premises (@p1122)) % 160.14/160.43 (step @p1060 :rule process_scope :premises (@p1123) :args (@t605)) % 160.14/160.43 (step @p1063 :rule and_intro :premises (@p1009 @p1119)) % 160.14/160.43 (step @p1064 :rule modus_ponens :premises (@p1063 @p1060)) % 160.14/160.43 (step-pop @p1124 :rule scope :premises (@p1064)) % 160.14/160.43 (step-pop @p1125 :rule scope :premises (@p1124)) % 160.14/160.43 (step @p1065 :rule process_scope :premises (@p1125) :args (@t605)) % 160.14/160.43 (step @p1068 :rule implies_elim :premises (@p1065)) % 160.14/160.43 (step @p1069 :rule cnf_and_neg :args (@t625)) % 160.14/160.43 (step @p1070 :rule resolution :premises (@p1069 @p1068) :args (true @t625)) % 160.14/160.43 (step @p1071 :rule reordering :premises (@p1070) :args ((or @t616 @t605 @t624))) % 160.14/160.43 (step @p1072 :rule chain_m_resolution :premises (@p1071 @p1009 @p1024) :args (@t605 @t613 (@list @t611 @t620))) % 160.14/160.43 (step @p1073 :rule cnf_or_pos :args (@t608)) % 160.14/160.43 (step @p1074 :rule reordering :premises (@p1073) :args ((or @t606 @t603 @t507 @t596 (not @t608)))) % 160.14/160.43 (step @p1075 false :rule chain_m_resolution :premises (@p1074 @p1072 @p1047 @p982 @p758 @p967) :args (false (@list false false false false false) (@list @t605 @t602 @t608 @t505 @t144))) % 160.14/160.43 ) % 160.14/160.43 % SZS output end Proof % 160.14/160.43 % cvc5 exiting %------------------------------------------------------------------------------