%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU820^2 : 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 : n028.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 08:53:21 AM UTC 2026 % Result : Theorem 153.44s 153.76s % Output : Proof 153.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU820^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.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 17:54:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 153.44/153.76 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 153.44/153.76 --- 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... % 153.44/153.76 --- 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... % 153.44/153.76 --- Run --ho-elim --full-saturate-quant at 18s... % 153.44/153.76 % SZS status Theorem % 153.44/153.76 % SZS output start Proof % 153.44/153.76 ( % 153.44/153.76 (declare-sort $$unsorted 0) % 153.44/153.76 (declare-const tptp.emptyset $$unsorted) % 153.44/153.76 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 153.44/153.76 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 153.44/153.76 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 153.44/153.76 (declare-const tptp.powersetE1 Bool) % 153.44/153.76 (declare-const tptp.subsetemptysetimpeq Bool) % 153.44/153.76 (declare-const tptp.vacuousDall Bool) % 153.44/153.76 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 153.44/153.76 (define tptp.transitiveset () (let ((_let_1 (@var "A" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (lambda (@list _let_1) (forall (@list _let_2) (=> (_ (_ tptp.in _let_2) _let_1) (_ (_ tptp.subset _let_2) _let_1))))))) % 153.44/153.76 (define tptp.stricttotalorderedByIn () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (_ tptp.in _let_1))) (let ((_let_3 (@var "A" $$unsorted))) (let ((_let_4 (_ _let_2 _let_3))) (let ((_let_5 (@list _let_1))) (let ((_let_6 (@var "Y" $$unsorted))) (let ((_let_7 (_ tptp.in _let_6))) (let ((_let_8 (_ _let_2 _let_6))) (let ((_let_9 (_ _let_7 _let_3))) (let ((_let_10 (@list _let_6))) (let ((_let_11 (@var "Xx" $$unsorted))) (let ((_let_12 (_ tptp.in _let_11))) (lambda (@list _let_3) (and (forall (@list _let_11) (=> (_ _let_12 _let_3) (forall _let_5 (=> _let_4 (forall _let_10 (=> _let_9 (=> (and (_ _let_12 _let_1) _let_8) (_ _let_12 _let_6)))))))) (forall _let_5 (=> _let_4 (forall _let_10 (=> _let_9 (or (= _let_1 _let_6) _let_8 (_ _let_7 _let_1)))))) (forall _let_5 (=> _let_4 (not (_ _let_2 _let_1))))))))))))))))))) % 153.44/153.76 (define tptp.wellorderedByIn () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.in _let_2))) (let ((_let_4 (@var "X" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5) (and (_ tptp.stricttotalorderedByIn _let_5) (forall (@list _let_4) (=> (_ (_ tptp.in _let_4) (_ tptp.powerset _let_5)) (=> (_ tptp.nonempty _let_4) (exists (@list _let_2) (and (_ _let_3 _let_4) (forall (@list _let_1) (=> (_ (_ tptp.in _let_1) _let_4) (or (= _let_2 _let_1) (_ _let_3 _let_1))))))))))))))))) % 153.44/153.76 (define tptp.ordinal () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (and (_ tptp.transitiveset _let_1) (_ tptp.wellorderedByIn _let_1))))) % 153.44/153.76 (define @t1 () (@var "Xx" $$unsorted)) % 153.44/153.76 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 153.44/153.76 (define @t3 () (_ @t2 @t1)) % 153.44/153.76 (define @t4 () (_ tptp.in @t1)) % 153.44/153.76 (define @t5 () (_ @t4 tptp.emptyset)) % 153.44/153.76 (define @t6 () (@list @t2 @t1)) % 153.44/153.76 (define @t7 () (forall @t6 (=> @t5 @t3))) % 153.44/153.76 (define @t8 () (= tptp.vacuousDall @t7)) % 153.44/153.76 (define @t9 () (@var "A" $$unsorted)) % 153.44/153.76 (define @t10 () (_ (_ tptp.subset @t9) tptp.emptyset)) % 153.44/153.76 (define @t11 () (=> @t10 (= @t9 tptp.emptyset))) % 153.44/153.76 (define @t12 () (@list @t9)) % 153.44/153.76 (define @t13 () (forall @t12 @t11)) % 153.44/153.76 (define @t14 () (= tptp.subsetemptysetimpeq @t13)) % 153.44/153.76 (define @t15 () (@var "B" $$unsorted)) % 153.44/153.76 (define @t16 () (_ (_ tptp.subset @t15) @t9)) % 153.44/153.76 (define @t17 () (_ tptp.powerset @t9)) % 153.44/153.76 (define @t18 () (_ tptp.in @t15)) % 153.44/153.76 (define @t19 () (_ @t18 @t17)) % 153.44/153.76 (define @t20 () (@list @t9 @t15)) % 153.44/153.76 (define @t21 () (forall @t20 (=> @t19 @t16))) % 153.44/153.76 (define @t22 () (= tptp.powersetE1 @t21)) % 153.44/153.76 (define @t23 () (=> tptp.powersetE1 (_ tptp.ordinal tptp.emptyset))) % 153.44/153.76 (define @t24 () (=> tptp.subsetemptysetimpeq @t23)) % 153.44/153.76 (define @t25 () (=> tptp.vacuousDall @t24)) % 153.44/153.76 (define @t26 () (not @t25)) % 153.44/153.76 (define @t27 () (not (= @t1 tptp.emptyset))) % 153.44/153.76 (define @t28 () (@list @t1)) % 153.44/153.76 (define @t29 () (lambda @t28 @t27)) % 153.44/153.76 (define @t30 () (@var "X" $$unsorted)) % 153.44/153.76 (define @t31 () (_ (_ tptp.subset @t30) @t9)) % 153.44/153.76 (define @t32 () (_ tptp.in @t30)) % 153.44/153.76 (define @t33 () (_ @t32 @t9)) % 153.44/153.76 (define @t34 () (@list @t30)) % 153.44/153.76 (define @t35 () (forall @t34 (=> @t33 @t31))) % 153.44/153.76 (define @t36 () (lambda @t12 @t35)) % 153.44/153.76 (define @t37 () (_ @t32 @t30)) % 153.44/153.76 (define @t38 () (not @t37)) % 153.44/153.76 (define @t39 () (forall @t34 (=> @t33 @t38))) % 153.44/153.76 (define @t40 () (@var "Y" $$unsorted)) % 153.44/153.76 (define @t41 () (_ tptp.in @t40)) % 153.44/153.76 (define @t42 () (_ @t41 @t30)) % 153.44/153.76 (define @t43 () (_ @t32 @t40)) % 153.44/153.76 (define @t44 () (= @t30 @t40)) % 153.44/153.76 (define @t45 () (or @t44 @t43 @t42)) % 153.44/153.76 (define @t46 () (_ @t41 @t9)) % 153.44/153.76 (define @t47 () (@list @t40)) % 153.44/153.76 (define @t48 () (forall @t47 (=> @t46 @t45))) % 153.44/153.76 (define @t49 () (=> @t33 @t48)) % 153.44/153.76 (define @t50 () (forall @t34 @t49)) % 153.44/153.76 (define @t51 () (_ @t4 @t40)) % 153.44/153.76 (define @t52 () (_ @t4 @t30)) % 153.44/153.76 (define @t53 () (and @t52 @t43)) % 153.44/153.76 (define @t54 () (=> @t53 @t51)) % 153.44/153.76 (define @t55 () (forall @t47 (=> @t46 @t54))) % 153.44/153.76 (define @t56 () (=> @t33 @t55)) % 153.44/153.76 (define @t57 () (forall @t34 @t56)) % 153.44/153.76 (define @t58 () (_ @t4 @t9)) % 153.44/153.76 (define @t59 () (=> @t58 @t57)) % 153.44/153.76 (define @t60 () (forall @t28 @t59)) % 153.44/153.76 (define @t61 () (and @t60 @t50 @t39)) % 153.44/153.76 (define @t62 () (lambda @t12 @t61)) % 153.44/153.76 (define @t63 () (= @t1 @t40)) % 153.44/153.76 (define @t64 () (or @t63 @t51)) % 153.44/153.76 (define @t65 () (forall @t47 (=> @t42 @t64))) % 153.44/153.76 (define @t66 () (and @t52 @t65)) % 153.44/153.76 (define @t67 () (exists @t28 @t66)) % 153.44/153.76 (define @t68 () (=> (_ tptp.nonempty @t30) @t67)) % 153.44/153.76 (define @t69 () (_ @t32 @t17)) % 153.44/153.76 (define @t70 () (=> @t69 @t68)) % 153.44/153.76 (define @t71 () (forall @t34 @t70)) % 153.44/153.76 (define @t72 () (and (_ tptp.stricttotalorderedByIn @t9) @t71)) % 153.44/153.76 (define @t73 () (lambda @t12 @t72)) % 153.44/153.76 (define @t74 () (and (_ tptp.transitiveset @t1) (_ tptp.wellorderedByIn @t1))) % 153.44/153.76 (define @t75 () (lambda @t28 @t74)) % 153.44/153.76 (define @t76 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 153.44/153.76 (define @t77 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 153.44/153.76 (define @t78 () (_ @t77 @t76 @t30)) % 153.44/153.76 (define @t79 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 153.44/153.76 (define @t80 () (not (_ @t79 @t78 tptp.emptyset))) % 153.44/153.76 (define @t81 () (forall @t34 (or @t80 (not (_ @t79 @t78 @t30))))) % 153.44/153.76 (define @t82 () (@var "BOUND_VARIABLE_7596" $$unsorted)) % 153.44/153.76 (define @t83 () (_ @t77 @t76 @t82)) % 153.44/153.76 (define @t84 () (= @t30 @t82)) % 153.44/153.76 (define @t85 () (@list @t30 @t82)) % 153.44/153.76 (define @t86 () (forall @t85 (or @t80 (not (_ @t79 @t83 tptp.emptyset)) @t84 (_ @t79 @t78 @t82) (_ @t79 @t83 @t30)))) % 153.44/153.76 (define @t87 () (@var "BOUND_VARIABLE_7568" $$unsorted)) % 153.44/153.76 (define @t88 () (@var "BOUND_VARIABLE_7703" $$unsorted)) % 153.44/153.76 (define @t89 () (_ @t77 @t76 @t88)) % 153.44/153.76 (define @t90 () (@var "BOUND_VARIABLE_7566" $$unsorted)) % 153.44/153.76 (define @t91 () (_ @t77 @t76 @t90)) % 153.44/153.76 (define @t92 () (@list @t88 @t90 @t87)) % 153.44/153.76 (define @t93 () (forall @t92 (or (not (_ @t79 @t89 tptp.emptyset)) (not (_ @t79 @t91 tptp.emptyset)) (not (_ @t79 @t89 @t90)) (not (_ @t79 (_ @t77 @t76 @t87) tptp.emptyset)) (not (_ @t79 @t91 @t87)) (_ @t79 @t89 @t87)))) % 153.44/153.76 (define @t94 () (@var "BOUND_VARIABLE_7713" $$unsorted)) % 153.44/153.76 (define @t95 () (_ @t77 @t76 @t94)) % 153.44/153.76 (define @t96 () (_ @t79 @t95 @t40)) % 153.44/153.76 (define @t97 () (= @t40 @t94)) % 153.44/153.76 (define @t98 () (_ @t77 @t76 @t40)) % 153.44/153.76 (define @t99 () (@list @t94)) % 153.44/153.76 (define @t100 () (= tptp.emptyset @t30)) % 153.44/153.76 (define @t101 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 153.44/153.76 (define @t102 () (@const 4 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 153.44/153.76 (define @t103 () (_ @t102 @t101 tptp.emptyset)) % 153.44/153.76 (define @t104 () (forall @t34 (or (not (_ @t79 @t78 @t103)) @t100 (not (forall @t99 (or (not (_ @t79 @t95 @t30)) (not (forall @t47 (or (not (_ @t79 @t98 @t30)) @t97 @t96))))))))) % 153.44/153.76 (define @t105 () (@const 5 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 153.44/153.76 (define @t106 () (forall @t34 (or @t80 (_ @t79 (_ @t77 @t105 @t30) tptp.emptyset)))) % 153.44/153.76 (define @t107 () (= tptp.emptyset @t9)) % 153.44/153.76 (define @t108 () (@var "BOUND_VARIABLE_7995" (@ho-elim-sort (-> $$unsorted Bool)))) % 153.44/153.76 (define @t109 () (forall (@list @t108 @t1) (or (not (_ @t79 (_ @t77 @t76 @t1) tptp.emptyset)) (_ @t79 @t108 @t1)))) % 153.44/153.76 (define @t110 () (tptp.in @t30 @t30)) % 153.44/153.76 (define @t111 () (not @t110)) % 153.44/153.76 (define @t112 () (not (tptp.in @t30 tptp.emptyset))) % 153.44/153.76 (define @t113 () (tptp.in @t82 @t30)) % 153.44/153.76 (define @t114 () (tptp.in @t30 @t82)) % 153.44/153.76 (define @t115 () (tptp.in @t88 @t87)) % 153.44/153.76 (define @t116 () (not (tptp.in @t90 @t87))) % 153.44/153.76 (define @t117 () (not (tptp.in @t88 @t90))) % 153.44/153.76 (define @t118 () (tptp.in @t94 @t40)) % 153.44/153.76 (define @t119 () (tptp.in @t40 @t30)) % 153.44/153.76 (define @t120 () (not @t119)) % 153.44/153.76 (define @t121 () (not (tptp.in @t94 @t30))) % 153.44/153.76 (define @t122 () (not (forall @t99 (or @t121 (not (forall @t47 (or @t120 @t97 @t118))))))) % 153.44/153.76 (define @t123 () (and (forall @t34 (or @t112 (tptp.subset @t30 tptp.emptyset))) (forall @t34 (or (not (tptp.in @t30 (tptp.powerset tptp.emptyset))) @t100 @t122)) (forall @t92 (or (not (tptp.in @t88 tptp.emptyset)) (not (tptp.in @t90 tptp.emptyset)) @t117 (not (tptp.in @t87 tptp.emptyset)) @t116 @t115)) (forall @t85 (or @t112 (not (tptp.in @t82 tptp.emptyset)) @t84 @t114 @t113)) (forall @t34 (or @t112 @t111)))) % 153.44/153.76 (define @t124 () (tptp.subset @t15 @t9)) % 153.44/153.76 (define @t125 () (tptp.powerset @t9)) % 153.44/153.76 (define @t126 () (tptp.in @t15 @t125)) % 153.44/153.76 (define @t127 () (tptp.subset @t9 tptp.emptyset)) % 153.44/153.76 (define @t128 () (_ @t2 @t1)) % 153.44/153.76 (define @t129 () (tptp.in @t1 tptp.emptyset)) % 153.44/153.76 (define @t130 () (not @t19)) % 153.44/153.76 (define @t131 () (or @t130 @t16)) % 153.44/153.76 (define @t132 () (=> tptp.powersetE1 @t123)) % 153.44/153.76 (define @t133 () (not @t10)) % 153.44/153.76 (define @t134 () (or @t133 @t107)) % 153.44/153.76 (define @t135 () (=> tptp.subsetemptysetimpeq @t132)) % 153.44/153.76 (define @t136 () (not @t5)) % 153.44/153.76 (define @t137 () (or @t136 @t3)) % 153.44/153.76 (define @t138 () (=> tptp.vacuousDall @t135)) % 153.44/153.76 (define @t139 () (not (tptp.in @t30 @t1))) % 153.44/153.76 (define @t140 () (forall @t34 (or @t139 @t111))) % 153.44/153.76 (define @t141 () (forall @t85 (or @t139 (not (tptp.in @t82 @t1)) @t84 @t114 @t113))) % 153.44/153.76 (define @t142 () (forall @t92 (or (not (tptp.in @t88 @t1)) (not (tptp.in @t90 @t1)) @t117 (not (tptp.in @t87 @t1)) @t116 @t115))) % 153.44/153.76 (define @t143 () (forall @t34 (or (not (tptp.in @t30 (tptp.powerset @t1))) @t100 @t122))) % 153.44/153.76 (define @t144 () (forall @t34 (or @t139 (tptp.subset @t30 @t1)))) % 153.44/153.76 (define @t145 () (and @t144 @t143 @t142 @t141 @t140)) % 153.44/153.76 (define @t146 () (_ (lambda @t28 @t145) tptp.emptyset)) % 153.44/153.76 (define @t147 () (=> tptp.powersetE1 @t146)) % 153.44/153.76 (define @t148 () (=> tptp.subsetemptysetimpeq @t147)) % 153.44/153.76 (define @t149 () (=> tptp.vacuousDall @t148)) % 153.44/153.76 (define @t150 () (and @t143 @t142 @t141 @t140)) % 153.44/153.76 (define @t151 () (tptp.in @t30 @t9)) % 153.44/153.76 (define @t152 () (not @t151)) % 153.44/153.76 (define @t153 () (forall @t34 (or @t152 @t111))) % 153.44/153.76 (define @t154 () (not (tptp.in @t82 @t9))) % 153.44/153.76 (define @t155 () (or @t152 @t154 @t84 @t114 @t113)) % 153.44/153.76 (define @t156 () (forall @t85 @t155)) % 153.44/153.76 (define @t157 () (not (tptp.in @t87 @t9))) % 153.44/153.76 (define @t158 () (not (tptp.in @t90 @t9))) % 153.44/153.76 (define @t159 () (forall @t92 (or (not (tptp.in @t88 @t9)) @t158 @t117 @t157 @t116 @t115))) % 153.44/153.76 (define @t160 () (tptp.in @t30 @t125)) % 153.44/153.76 (define @t161 () (not @t160)) % 153.44/153.76 (define @t162 () (or @t120 (= @t94 @t40) @t118)) % 153.44/153.76 (define @t163 () (forall @t47 @t162)) % 153.44/153.76 (define @t164 () (not @t163)) % 153.44/153.76 (define @t165 () (or @t121 @t164)) % 153.44/153.76 (define @t166 () (forall @t99 @t165)) % 153.44/153.76 (define @t167 () (not @t166)) % 153.44/153.76 (define @t168 () (or @t161 @t100 @t167)) % 153.44/153.76 (define @t169 () (forall @t34 @t168)) % 153.44/153.76 (define @t170 () (and @t169 @t159 @t156 @t153)) % 153.44/153.76 (define @t171 () (tptp.in @t1 @t87)) % 153.44/153.76 (define @t172 () (not (tptp.in @t1 @t90))) % 153.44/153.76 (define @t173 () (tptp.in @t1 @t9)) % 153.44/153.76 (define @t174 () (not @t173)) % 153.44/153.76 (define @t175 () (or @t174 @t158 @t172 @t157 @t116 @t171)) % 153.44/153.76 (define @t176 () (@list @t1 @t90 @t87)) % 153.44/153.76 (define @t177 () (forall @t176 @t175)) % 153.44/153.76 (define @t178 () (@list @t1)) % 153.44/153.76 (define @t179 () (tptp.in @t1 @t40)) % 153.44/153.76 (define @t180 () (forall @t47 (or @t120 @t63 @t179))) % 153.44/153.76 (define @t181 () (not @t180)) % 153.44/153.76 (define @t182 () (tptp.in @t1 @t30)) % 153.44/153.76 (define @t183 () (not @t182)) % 153.44/153.76 (define @t184 () (forall @t28 (or @t183 @t181))) % 153.44/153.76 (define @t185 () (not @t184)) % 153.44/153.76 (define @t186 () (or @t161 @t100 @t185)) % 153.44/153.76 (define @t187 () (forall @t34 @t186)) % 153.44/153.76 (define @t188 () (and @t187 @t177 @t156 @t153)) % 153.44/153.76 (define @t189 () (lambda @t12 @t188)) % 153.44/153.76 (define @t190 () (tptp.subset @t30 @t9)) % 153.44/153.76 (define @t191 () (_ (lambda @t12 (forall @t34 (or @t152 @t190))) @t1)) % 153.44/153.76 (define @t192 () (and @t177 @t156 @t153)) % 153.44/153.76 (define @t193 () (not @t69)) % 153.44/153.76 (define @t194 () (or @t193 @t100 @t185)) % 153.44/153.76 (define @t195 () (not @t100)) % 153.44/153.76 (define @t196 () (=> @t195 @t185)) % 153.44/153.76 (define @t197 () (not @t52)) % 153.44/153.76 (define @t198 () (or @t197 @t181)) % 153.44/153.76 (define @t199 () (and @t52 @t180)) % 153.44/153.76 (define @t200 () (forall @t28 (not @t199))) % 153.44/153.76 (define @t201 () (not @t200)) % 153.44/153.76 (define @t202 () (not @t42)) % 153.44/153.76 (define @t203 () (or @t202 @t63 @t51)) % 153.44/153.76 (define @t204 () (_ (lambda @t28 (not (= tptp.emptyset @t1))) @t30)) % 153.44/153.76 (define @t205 () (=> @t204 @t67)) % 153.44/153.76 (define @t206 () (=> @t69 @t205)) % 153.44/153.76 (define @t207 () (forall @t34 @t206)) % 153.44/153.76 (define @t208 () (_ (lambda @t12 @t192) @t9)) % 153.44/153.76 (define @t209 () (not @t33)) % 153.44/153.76 (define @t210 () (or @t209 @t38)) % 153.44/153.76 (define @t211 () (or @t154 @t84 @t114 @t113)) % 153.44/153.76 (define @t212 () (or @t152 @t211)) % 153.44/153.76 (define @t213 () (forall @t85 @t212)) % 153.44/153.76 (define @t214 () (@list @t82)) % 153.44/153.76 (define @t215 () (forall @t214 @t212)) % 153.44/153.76 (define @t216 () (forall @t214 @t211)) % 153.44/153.76 (define @t217 () (@list @t40)) % 153.44/153.76 (define @t218 () (or @t152 @t216)) % 153.44/153.76 (define @t219 () (tptp.in @t30 @t40)) % 153.44/153.76 (define @t220 () (tptp.in @t40 @t9)) % 153.44/153.76 (define @t221 () (not @t220)) % 153.44/153.76 (define @t222 () (forall @t47 (or @t221 @t44 @t219 @t119))) % 153.44/153.76 (define @t223 () (or @t209 @t222)) % 153.44/153.76 (define @t224 () (not @t46)) % 153.44/153.76 (define @t225 () (or @t224 @t44 @t43 @t42)) % 153.44/153.76 (define @t226 () (or @t158 @t172 @t157 @t116 @t171)) % 153.44/153.76 (define @t227 () (or @t174 @t226)) % 153.44/153.76 (define @t228 () (forall @t176 @t227)) % 153.44/153.76 (define @t229 () (@list @t90 @t87)) % 153.44/153.76 (define @t230 () (forall @t229 @t227)) % 153.44/153.76 (define @t231 () (forall @t229 @t226)) % 153.44/153.76 (define @t232 () (@var "BOUND_VARIABLE_7544" $$unsorted)) % 153.44/153.76 (define @t233 () (or @t174 @t231)) % 153.44/153.76 (define @t234 () (tptp.in @t1 @t232)) % 153.44/153.76 (define @t235 () (not (tptp.in @t30 @t232))) % 153.44/153.76 (define @t236 () (not (tptp.in @t232 @t9))) % 153.44/153.76 (define @t237 () (or @t152 @t183 @t236 @t235 @t234)) % 153.44/153.76 (define @t238 () (@list @t30 @t232)) % 153.44/153.76 (define @t239 () (forall @t238 @t237)) % 153.44/153.76 (define @t240 () (not @t58)) % 153.44/153.76 (define @t241 () (or @t240 @t239)) % 153.44/153.76 (define @t242 () (or @t236 @t235 @t234)) % 153.44/153.76 (define @t243 () (or @t152 @t183 @t242)) % 153.44/153.76 (define @t244 () (forall @t238 @t243)) % 153.44/153.76 (define @t245 () (@list @t232)) % 153.44/153.76 (define @t246 () (forall @t245 @t243)) % 153.44/153.76 (define @t247 () (forall @t245 @t242)) % 153.44/153.76 (define @t248 () (or @t152 @t183 @t247)) % 153.44/153.76 (define @t249 () (forall @t47 (or @t221 (not @t219) @t179))) % 153.44/153.76 (define @t250 () (or @t209 @t197 @t249)) % 153.44/153.76 (define @t251 () (or @t197 @t249)) % 153.44/153.76 (define @t252 () (not @t43)) % 153.44/153.76 (define @t253 () (or @t224 @t252 @t51)) % 153.44/153.76 (define @t254 () (forall @t47 @t253)) % 153.44/153.76 (define @t255 () (or @t197 @t254)) % 153.44/153.76 (define @t256 () (or @t197 @t253)) % 153.44/153.76 (define @t257 () (or @t224 @t197 @t252 @t51)) % 153.44/153.76 (define @t258 () (or @t197 @t252 @t51)) % 153.44/153.76 (define @t259 () (or @t209 @t31)) % 153.44/153.76 (define @t260 () (@var "ii" $$unsorted)) % 153.44/153.76 (define @t261 () (@var "u" (@ho-elim-sort (-> $$unsorted Bool)))) % 153.44/153.76 (define @t262 () (@var "e" Bool)) % 153.44/153.76 (define @t263 () (@var "i" $$unsorted)) % 153.44/153.76 (define @t264 () (@var "v" (@ho-elim-sort (-> $$unsorted Bool)))) % 153.44/153.76 (define @t265 () (_ @t79 @t264 @t260)) % 153.44/153.76 (define @t266 () (@list @t260)) % 153.44/153.76 (define @t267 () (@list @t264)) % 153.44/153.76 (define @t268 () (forall (@list @t261 @t262 @t263) (not (forall @t267 (not (forall @t266 (= @t265 (ite (= @t263 @t260) @t262 (_ @t79 @t261 @t260))))))))) % 153.44/153.76 (define @t269 () (= tptp.emptyset @t260)) % 153.44/153.76 (define @t270 () (@quantifiers_skolemize @t106 0)) % 153.44/153.76 (define @t271 () (_ @t77 @t76 @t270)) % 153.44/153.76 (define @t272 () (_ @t79 @t271 @t260)) % 153.44/153.76 (define @t273 () (= @t265 (ite @t269 false @t272))) % 153.44/153.76 (define @t274 () (forall @t266 @t273)) % 153.44/153.76 (define @t275 () (not @t274)) % 153.44/153.76 (define @t276 () (forall @t267 @t275)) % 153.44/153.76 (define @t277 () (not @t276)) % 153.44/153.76 (define @t278 () (and (not @t269) @t272)) % 153.44/153.76 (define @t279 () (forall @t267 (not (forall @t266 (= @t265 @t278))))) % 153.44/153.76 (define @t280 () (not @t279)) % 153.44/153.76 (define @t281 () (@list false)) % 153.44/153.76 (define @t282 () (@list @t268)) % 153.44/153.76 (define @t283 () (@quantifiers_skolemize @t279 0)) % 153.44/153.76 (define @t284 () (_ @t79 @t283 @t260)) % 153.44/153.76 (define @t285 () (forall @t266 (= @t278 @t284))) % 153.44/153.76 (define @t286 () (forall @t266 (= @t284 @t278))) % 153.44/153.76 (define @t287 () (not (not @t286))) % 153.44/153.76 (define @t288 () (@list true)) % 153.44/153.76 (define @t289 () (@list @t270)) % 153.44/153.76 (define @t290 () (_ @t77 @t105 @t270)) % 153.44/153.76 (define @t291 () (@quantifiers_skolemize @t81 0)) % 153.44/153.76 (define @t292 () (@list @t291)) % 153.44/153.76 (define @t293 () (_ @t79 @t271 tptp.emptyset)) % 153.44/153.76 (define @t294 () (_ @t79 @t290 tptp.emptyset)) % 153.44/153.76 (define @t295 () (not @t293)) % 153.44/153.76 (define @t296 () (or @t295 @t294)) % 153.44/153.76 (define @t297 () (_ @t79 @t271 @t103)) % 153.44/153.76 (define @t298 () (ite (= @t260 @t270) @t297 @t272)) % 153.44/153.76 (define @t299 () (forall @t267 (not (forall @t266 (= @t265 @t298))))) % 153.44/153.76 (define @t300 () (@quantifiers_skolemize @t299 0)) % 153.44/153.76 (define @t301 () (_ @t79 @t300 @t270)) % 153.44/153.76 (define @t302 () (or @t295 @t301)) % 153.44/153.76 (define @t303 () (not @t297)) % 153.44/153.76 (define @t304 () (or @t303 @t294)) % 153.44/153.76 (define @t305 () (ite (= @t270 @t260) @t297 @t272)) % 153.44/153.76 (define @t306 () (= @t265 @t305)) % 153.44/153.76 (define @t307 () (forall @t266 @t306)) % 153.44/153.76 (define @t308 () (not @t307)) % 153.44/153.76 (define @t309 () (forall @t267 @t308)) % 153.44/153.76 (define @t310 () (not @t309)) % 153.44/153.76 (define @t311 () (not @t299)) % 153.44/153.76 (define @t312 () (_ @t79 @t300 @t260)) % 153.44/153.76 (define @t313 () (forall @t266 (= @t298 @t312))) % 153.44/153.76 (define @t314 () (forall @t266 (= @t312 @t298))) % 153.44/153.76 (define @t315 () (not (not @t314))) % 153.44/153.76 (define @t316 () (_ @t79 @t271 @t270)) % 153.44/153.76 (define @t317 () (ite (= @t270 @t270) @t297 @t316)) % 153.44/153.76 (define @t318 () (= @t317 @t301)) % 153.44/153.76 (define @t319 () (= @t297 @t301)) % 153.44/153.76 (define @t320 () (not @t296)) % 153.44/153.76 (define @t321 () (not @t106)) % 153.44/153.76 (define @t322 () (_ @t79 (_ @t77 @t105 @t291) tptp.emptyset)) % 153.44/153.76 (define @t323 () (_ @t77 @t76 @t291)) % 153.44/153.76 (define @t324 () (_ @t79 @t323 tptp.emptyset)) % 153.44/153.76 (define @t325 () (not @t324)) % 153.44/153.76 (define @t326 () (or @t325 @t322)) % 153.44/153.76 (define @t327 () (@quantifiers_skolemize @t86 0)) % 153.44/153.76 (define @t328 () (_ @t77 @t76 @t327)) % 153.44/153.76 (define @t329 () (_ @t79 @t328 tptp.emptyset)) % 153.44/153.76 (define @t330 () (@quantifiers_skolemize @t86 1)) % 153.44/153.76 (define @t331 () (_ @t77 @t76 @t330)) % 153.44/153.76 (define @t332 () (_ @t79 @t331 @t327)) % 153.44/153.76 (define @t333 () (not @t329)) % 153.44/153.76 (define @t334 () (or @t333 (not (_ @t79 @t331 tptp.emptyset)) (= @t327 @t330) (_ @t79 @t328 @t330) @t332)) % 153.44/153.76 (define @t335 () (or @t333 @t332)) % 153.44/153.76 (define @t336 () (@list false true false)) % 153.44/153.76 (define @t337 () (not @t334)) % 153.44/153.76 (define @t338 () (not @t86)) % 153.44/153.76 (define @t339 () (@quantifiers_skolemize @t93 2)) % 153.44/153.76 (define @t340 () (_ @t79 (_ @t77 @t76 @t339) tptp.emptyset)) % 153.44/153.76 (define @t341 () (_ @t77 @t76 (@quantifiers_skolemize @t93 0))) % 153.44/153.76 (define @t342 () (_ @t79 @t341 @t339)) % 153.44/153.76 (define @t343 () (@quantifiers_skolemize @t93 1)) % 153.44/153.76 (define @t344 () (_ @t77 @t76 @t343)) % 153.44/153.76 (define @t345 () (not @t340)) % 153.44/153.76 (define @t346 () (or (not (_ @t79 @t341 tptp.emptyset)) (not (_ @t79 @t344 tptp.emptyset)) (not (_ @t79 @t341 @t343)) @t345 (not (_ @t79 @t344 @t339)) @t342)) % 153.44/153.76 (define @t347 () (or @t345 @t342)) % 153.44/153.76 (define @t348 () (not @t346)) % 153.44/153.76 (define @t349 () (not @t93)) % 153.44/153.76 (define @t350 () (@quantifiers_skolemize @t104 0)) % 153.44/153.76 (define @t351 () (_ @t79 (_ @t77 @t76 @t350) @t103)) % 153.44/153.76 (define @t352 () (= tptp.emptyset @t350)) % 153.44/153.76 (define @t353 () (not @t351)) % 153.44/153.76 (define @t354 () (or @t353 @t352 (not (forall @t99 (or (not (_ @t79 @t95 @t350)) (not (forall @t47 (or (not (_ @t79 @t98 @t350)) @t97 @t96)))))))) % 153.44/153.76 (define @t355 () (_ @t79 (_ @t77 @t105 @t350) tptp.emptyset)) % 153.44/153.76 (define @t356 () (or @t353 @t355)) % 153.44/153.76 (define @t357 () (not @t355)) % 153.44/153.76 (define @t358 () (or @t357 @t352)) % 153.44/153.76 (define @t359 () (not @t354)) % 153.44/153.76 (define @t360 () (not @t104)) % 153.44/153.76 (define @t361 () (not @t81)) % 153.44/153.76 (define @t362 () (_ @t79 @t323 @t291)) % 153.44/153.76 (define @t363 () (not @t362)) % 153.44/153.76 (define @t364 () (or @t325 @t363)) % 153.44/153.76 (define @t365 () (not @t364)) % 153.44/153.76 (define @t366 () (@list @t364)) % 153.44/153.76 (define @t367 () (@list false false)) % 153.44/153.76 (define @t368 () (= tptp.emptyset @t291)) % 153.44/153.76 (define @t369 () (not @t322)) % 153.44/153.76 (define @t370 () (or @t369 @t368)) % 153.44/153.76 (define @t371 () (_ @t77 @t76 tptp.emptyset)) % 153.44/153.76 (define @t372 () (_ @t79 @t371 tptp.emptyset)) % 153.44/153.76 (define @t373 () (and @t362 @t368)) % 153.44/153.76 (define @t374 () (not @t368)) % 153.44/153.76 (define @t375 () (not @t372)) % 153.44/153.76 (define @t376 () (or @t375 @t294)) % 153.44/153.76 (define @t377 () (= tptp.emptyset @t270)) % 153.44/153.76 (define @t378 () (not @t294)) % 153.44/153.76 (define @t379 () (or @t378 @t377)) % 153.44/153.76 (define @t380 () (not @t377)) % 153.44/153.76 (define @t381 () (and @t380 @t316)) % 153.44/153.76 (define @t382 () (not @t381)) % 153.44/153.76 (define @t383 () (_ @t79 @t283 @t270)) % 153.44/153.76 (define @t384 () (= @t381 @t383)) % 153.44/153.76 (define @t385 () (not @t383)) % 153.44/153.76 (define @t386 () (@list true false)) % 153.44/153.76 (define @t387 () (and @t377 @t362 @t368)) % 153.44/153.76 (define @t388 () (or @t295 @t383)) % 153.44/153.76 (define @t389 () (not @t388)) % 153.44/153.76 (assume @p1 @t8) % 153.44/153.76 (assume @p2 @t14) % 153.44/153.76 (assume @p3 @t22) % 153.44/153.76 (assume @p4 @t26) % 153.44/153.76 (assume @p5 true) % 153.44/153.76 (step @p6 (= tptp.nonempty @t29) :rule refl :args (@t29)) % 153.44/153.76 (step @p7 (= tptp.transitiveset @t36) :rule refl :args (@t36)) % 153.44/153.76 (step @p8 (= tptp.stricttotalorderedByIn @t62) :rule refl :args (@t62)) % 153.44/153.76 (step @p9 (= tptp.wellorderedByIn @t73) :rule refl :args (@t73)) % 153.44/153.76 (step @p10 (= tptp.ordinal @t75) :rule refl :args (@t75)) % 153.44/153.76 ; WARNING: add trust step for TRUST % 153.44/153.76 ; trust TRUST PREPROCESS_HO_ELIM % 153.44/153.76 (step @p11 :rule trust :premises () :args ((= (not (=> (forall @t6 (or (not @t129) @t128)) (=> (forall @t12 (or (not @t127) @t107)) (=> (forall @t20 (or (not @t126) @t124)) @t123)))) (not (=> @t109 (=> (forall @t12 (or (not (_ @t79 (_ @t77 @t105 @t9) tptp.emptyset)) @t107)) (=> (forall @t20 (or (not (_ @t79 (_ @t77 @t76 @t15) (_ @t102 @t101 @t9))) (_ @t79 (_ @t77 @t105 @t15) @t9))) (and @t106 @t104 @t93 @t86 @t81)))))))) % 153.44/153.76 (step @p12 :rule refl :args (@t123)) % 153.44/153.76 (step @p13 :rule refl :args (@t124)) % 153.44/153.76 (step @p14 :rule refl :args (@t16)) % 153.44/153.76 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t16 @t124))) % 153.44/153.76 (step @p16 :rule symm :premises (@p15)) % 153.44/153.76 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 153.44/153.76 (step @p18 :rule refl :args ((tptp.in @t15 @t17))) % 153.44/153.76 (step @p19 :rule refl :args (@t125)) % 153.44/153.76 (step @p20 :rule refl :args (@t15)) % 153.44/153.76 (step @p21 :rule cong :premises (@p20 @p19) :args (@t126)) % 153.44/153.76 (step @p22 :rule trans :premises (@p21 @p18)) % 153.44/153.76 (step @p23 :rule refl :args (@t18)) % 153.44/153.76 (step @p24 :rule ho_cong :premises (@p23 @p19)) % 153.44/153.76 (step @p25 :rule cong :premises (@p24 @p22) :args ((= (_ @t18 @t125) @t126))) % 153.44/153.76 (step @p26 :rule symm :premises (@p25)) % 153.44/153.76 (step @p27 :rule refl :args (@t19)) % 153.44/153.76 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 153.44/153.76 (step @p29 :rule refl :args (@t17)) % 153.44/153.76 (step @p30 :rule cong :premises (@p29 @p19) :args ((= @t17 @t125))) % 153.44/153.76 (step @p31 :rule symm :premises (@p30)) % 153.44/153.76 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 153.44/153.76 (step @p33 :rule ho_cong :premises (@p23 @p32)) % 153.44/153.76 (step @p34 :rule trans :premises (@p33 @p28)) % 153.44/153.76 (step @p35 :rule cong :premises (@p34) :args (@t130)) % 153.44/153.76 (step @p36 :rule nary_cong :premises (@p35 @p17) :args (@t131)) % 153.44/153.76 (step @p37 :rule cong :premises (@p36) :args ((forall @t20 @t131))) % 153.44/153.76 (step @p38 :rule bool-impl-elim :args (@t19 @t16)) % 153.44/153.76 (step @p39 :rule cong :premises (@p38) :args (@t21)) % 153.44/153.76 (step @p40 :rule trans :premises (@p39 @p37)) % 153.44/153.76 (step @p41 :rule refl :args (tptp.powersetE1)) % 153.44/153.76 (step @p42 :rule cong :premises (@p41 @p40) :args (@t22)) % 153.44/153.76 (step @p43 :rule eq_resolve :premises (@p3 @p42)) % 153.44/153.76 (step @p44 :rule cong :premises (@p43 @p12) :args (@t132)) % 153.44/153.76 (step @p45 :rule refl :args (@t107)) % 153.44/153.76 (step @p46 :rule refl :args (@t127)) % 153.44/153.76 (step @p47 :rule refl :args (@t10)) % 153.44/153.76 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t10 @t127))) % 153.44/153.76 (step @p49 :rule symm :premises (@p48)) % 153.44/153.76 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 153.44/153.76 (step @p51 :rule cong :premises (@p50) :args (@t133)) % 153.44/153.76 (step @p52 :rule nary_cong :premises (@p51 @p45) :args (@t134)) % 153.44/153.76 (step @p53 :rule cong :premises (@p52) :args ((forall @t12 @t134))) % 153.44/153.76 (step @p54 :rule bool-impl-elim :args (@t10 @t107)) % 153.44/153.76 (step @p55 :rule cong :premises (@p54) :args ((forall @t12 (=> @t10 @t107)))) % 153.44/153.76 (step @p56 :rule trans :premises (@p55 @p53)) % 153.44/153.76 (step @p57 :rule eq-symm :args (@t9 tptp.emptyset)) % 153.44/153.76 (step @p58 :rule refl :args (@t10)) % 153.44/153.76 (step @p59 :rule cong :premises (@p58 @p57) :args (@t11)) % 153.44/153.76 (step @p60 :rule cong :premises (@p59) :args (@t13)) % 153.44/153.76 (step @p61 :rule trans :premises (@p60 @p56)) % 153.44/153.76 (step @p62 :rule refl :args (tptp.subsetemptysetimpeq)) % 153.44/153.76 (step @p63 :rule cong :premises (@p62 @p61) :args (@t14)) % 153.44/153.76 (step @p64 :rule eq_resolve :premises (@p2 @p63)) % 153.44/153.76 (step @p65 :rule cong :premises (@p64 @p44) :args (@t135)) % 153.44/153.76 (step @p66 :rule refl :args (@t128)) % 153.44/153.76 (step @p67 :rule refl :args (@t3)) % 153.44/153.76 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t3 @t128))) % 153.44/153.76 (step @p69 :rule symm :premises (@p68)) % 153.44/153.76 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 153.44/153.76 (step @p71 :rule refl :args (@t129)) % 153.44/153.76 (step @p72 :rule refl :args (@t5)) % 153.44/153.76 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t5 @t129))) % 153.44/153.76 (step @p74 :rule symm :premises (@p73)) % 153.44/153.76 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 153.44/153.76 (step @p76 :rule cong :premises (@p75) :args (@t136)) % 153.44/153.76 (step @p77 :rule nary_cong :premises (@p76 @p70) :args (@t137)) % 153.44/153.76 (step @p78 :rule cong :premises (@p77) :args ((forall @t6 @t137))) % 153.44/153.76 (step @p79 :rule bool-impl-elim :args (@t5 @t3)) % 153.44/153.76 (step @p80 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153.44/153.77 (step @p321 :rule aci_norm :args ((= (or @t209 @t251) @t250))) % 153.44/153.77 (step @p322 :rule bool-impl-elim :args (@t33 @t251)) % 153.44/153.77 (step @p323 :rule trans :premises (@p322 @p321)) % 153.44/153.77 (step @p324 :rule cong :premises (@p323) :args ((forall @t34 (=> @t33 @t251)))) % 153.44/153.77 (step @p325 :rule trans :premises (@p324 @p320)) % 153.44/153.77 (step @p326 :rule cong :premises (@p261) :args (@t252)) % 153.44/153.77 (step @p327 :rule nary_cong :premises (@p268 @p326 @p182) :args (@t253)) % 153.44/153.77 (step @p328 :rule cong :premises (@p327) :args (@t254)) % 153.44/153.77 (step @p329 :rule refl :args (@t197)) % 153.44/153.77 (step @p330 :rule nary_cong :premises (@p329 @p328) :args (@t255)) % 153.44/153.77 (step @p331 :rule quant-miniscope-or :args ((= (forall @t47 @t256) @t255))) % 153.44/153.77 (step @p332 :rule aci_norm :args ((= @t257 @t256))) % 153.44/153.77 (step @p333 :rule cong :premises (@p332) :args ((forall @t47 @t257))) % 153.44/153.77 (step @p334 :rule trans :premises (@p333 @p331)) % 153.44/153.77 (step @p335 :rule trans :premises (@p334 @p330)) % 153.44/153.77 (step @p336 :rule aci_norm :args ((= (or @t224 @t258) @t257))) % 153.44/153.77 (step @p337 :rule aci_norm :args ((= (or (or @t197 @t252) @t51) @t258))) % 153.44/153.77 (step @p338 :rule bool-and-de-morgan :args (@t52 @t43 true)) % 153.44/153.77 (step @p339 :rule nary_cong :premises (@p338 @p179) :args ((or (not @t53) @t51))) % 153.44/153.77 (step @p340 :rule trans :premises (@p339 @p337)) % 153.44/153.77 (step @p341 :rule bool-impl-elim :args (@t53 @t51)) % 153.44/153.77 (step @p342 :rule trans :premises (@p341 @p340)) % 153.44/153.77 (step @p343 :rule refl :args (@t224)) % 153.44/153.77 (step @p344 :rule nary_cong :premises (@p343 @p342) :args ((or @t224 @t54))) % 153.44/153.77 (step @p345 :rule trans :premises (@p344 @p336)) % 153.44/153.77 (step @p346 :rule bool-impl-elim :args (@t46 @t54)) % 153.44/153.77 (step @p347 :rule trans :premises (@p346 @p345)) % 153.44/153.77 (step @p348 :rule cong :premises (@p347) :args (@t55)) % 153.44/153.77 (step @p349 :rule trans :premises (@p348 @p335)) % 153.44/153.77 (step @p350 :rule cong :premises (@p276 @p349) :args (@t56)) % 153.44/153.77 (step @p351 :rule cong :premises (@p350) :args (@t57)) % 153.44/153.77 (step @p352 :rule trans :premises (@p351 @p325)) % 153.44/153.77 (step @p353 :rule refl :args (@t58)) % 153.44/153.77 (step @p354 :rule cong :premises (@p353 @p352) :args (@t59)) % 153.44/153.77 (step @p355 :rule cong :premises (@p354) :args (@t60)) % 153.44/153.77 (step @p356 :rule trans :premises (@p355 @p304)) % 153.44/153.77 (step @p357 :rule nary_cong :premises (@p356 @p279 @p237) :args (@t61)) % 153.44/153.77 (step @p358 :rule cong :premises (@p357) :args (@t62)) % 153.44/153.77 (step @p359 :rule trans :premises (@p8 @p358)) % 153.44/153.77 (step @p360 :rule ho_cong :premises (@p359 @p220)) % 153.44/153.77 (step @p361 :rule nary_cong :premises (@p360 @p219) :args (@t72)) % 153.44/153.77 (step @p362 :rule trans :premises (@p361 @p209)) % 153.44/153.77 (step @p363 :rule cong :premises (@p362) :args (@t73)) % 153.44/153.77 (step @p364 :rule trans :premises (@p9 @p363)) % 153.44/153.77 (step @p365 :rule ho_cong :premises (@p364 @p95)) % 153.44/153.77 (step @p366 :rule refl :args (@t190)) % 153.44/153.77 (step @p367 :rule refl :args (@t31)) % 153.44/153.77 (step @p368 :rule cong :premises (@p367 @p366) :args ((= @t31 @t190))) % 153.44/153.77 (step @p369 :rule symm :premises (@p368)) % 153.44/153.77 (step @p370 :rule eq_resolve :premises (@p367 @p369)) % 153.44/153.77 (step @p371 :rule nary_cong :premises (@p232 @p370) :args (@t259)) % 153.44/153.77 (step @p372 :rule cong :premises (@p371) :args ((forall @t34 @t259))) % 153.44/153.77 (step @p373 :rule bool-impl-elim :args (@t33 @t31)) % 153.44/153.77 (step @p374 :rule cong :premises (@p373) :args (@t35)) % 153.44/153.77 (step @p375 :rule trans :premises (@p374 @p372)) % 153.44/153.77 (step @p376 :rule cong :premises (@p375) :args (@t36)) % 153.44/153.77 (step @p377 :rule trans :premises (@p7 @p376)) % 153.44/153.77 (step @p378 :rule ho_cong :premises (@p377 @p95)) % 153.44/153.77 (step @p379 :rule nary_cong :premises (@p378 @p365) :args (@t74)) % 153.44/153.77 (step @p380 :rule trans :premises (@p379 @p133)) % 153.44/153.77 (step @p381 :rule cong :premises (@p380) :args (@t75)) % 153.44/153.77 (step @p382 :rule trans :premises (@p10 @p381)) % 153.44/153.77 (step @p383 :rule ho_cong :premises (@p382 @p92)) % 153.44/153.77 (step @p384 :rule cong :premises (@p41 @p383) :args (@t23)) % 153.44/153.77 (step @p385 :rule cong :premises (@p62 @p384) :args (@t24)) % 153.44/153.77 (step @p386 :rule cong :premises (@p82 @p385) :args (@t25)) % 153.44/153.77 (step @p387 :rule cong :premises (@p386) :args (@t26)) % 153.44/153.77 (step @p388 :rule trans :premises (@p387 @p91)) % 153.44/153.77 (step @p389 :rule trans :premises (@p388 @p86 @p11)) % 153.44/153.77 (step @p390 :rule eq_resolve :premises (@p4 @p389)) % 153.44/153.77 (step @p391 :rule not_implies_elim1 :premises (@p390)) % 153.44/153.77 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 153.44/153.77 (step @p392 :rule trust :premises () :args (@t268)) % 153.44/153.77 (step @p393 :rule ite-then-false :args (@t269 @t272)) % 153.44/153.77 (step @p394 :rule refl :args (@t265)) % 153.44/153.77 (step @p395 :rule cong :premises (@p394 @p393) :args (@t273)) % 153.44/153.77 (step @p396 :rule cong :premises (@p395) :args (@t274)) % 153.44/153.77 (step @p397 :rule cong :premises (@p396) :args (@t275)) % 153.44/153.77 (step @p398 :rule cong :premises (@p397) :args (@t276)) % 153.44/153.77 (step @p399 :rule cong :premises (@p398) :args (@t277)) % 153.44/153.77 (step @p400 :rule refl :args (@t268)) % 153.44/153.77 (step @p401 :rule cong :premises (@p400 @p399) :args ((=> @t268 @t277))) % 153.44/153.77 (assume-push @p686 @t268) % 153.44/153.77 (step @p403 :rule instantiate :premises (@p392) :args ((@list @t271 false tptp.emptyset))) % 153.44/153.77 (step-pop @p687 :rule scope :premises (@p403)) % 153.44/153.77 (step @p404 :rule process_scope :premises (@p687) :args (@t277)) % 153.44/153.77 (step @p406 :rule eq_resolve :premises (@p404 @p401)) % 153.44/153.77 (step @p407 :rule implies_elim :premises (@p406)) % 153.44/153.77 (step @p408 :rule chain_m_resolution :premises (@p407 @p392) :args (@t280 @t281 @t282)) % 153.44/153.77 (step @p409 :rule refl :args (@t285)) % 153.44/153.77 (step @p410 :rule bool-double-not-elim :args (@t279)) % 153.44/153.77 (step @p411 :rule nary_cong :premises (@p410 @p409) :args ((or (not @t280) @t285))) % 153.44/153.77 (step @p412 :rule eq-symm :args (@t284 @t278)) % 153.44/153.77 (step @p413 :rule cong :premises (@p412) :args (@t286)) % 153.44/153.77 (step @p414 :rule bool-double-not-elim :args (@t286)) % 153.44/153.77 (step @p415 :rule trans :premises (@p414 @p413)) % 153.44/153.77 (step @p416 :rule refl :args (@t280)) % 153.44/153.77 (step @p417 :rule cong :premises (@p416 @p415) :args ((=> @t280 @t287))) % 153.44/153.77 (assume-push @p688 @t280) % 153.44/153.77 (step @p419 :rule skolemize :premises (@p408)) % 153.44/153.77 (step-pop @p689 :rule scope :premises (@p419)) % 153.44/153.77 (step @p420 :rule process_scope :premises (@p689) :args (@t287)) % 153.44/153.77 (step @p422 :rule eq_resolve :premises (@p420 @p417)) % 153.44/153.77 (step @p423 :rule implies_elim :premises (@p422)) % 153.44/153.77 (step @p424 :rule eq_resolve :premises (@p423 @p411)) % 153.44/153.77 (step @p425 :rule chain_m_resolution :premises (@p424 @p408) :args (@t285 @t288 (@list @t279))) % 153.44/153.77 (step @p426 :rule instantiate :premises (@p425) :args (@t289)) % 153.44/153.77 (step @p427 :rule not_implies_elim2 :premises (@p390)) % 153.44/153.77 (step @p428 :rule not_implies_elim1 :premises (@p427)) % 153.44/153.77 (step @p429 :rule instantiate :premises (@p428) :args (@t289)) % 153.44/153.77 (step @p430 :rule instantiate :premises (@p391) :args ((@list @t290 tptp.emptyset))) % 153.44/153.77 (step @p431 :rule instantiate :premises (@p428) :args (@t292)) % 153.44/153.77 (step @p432 :rule bool-double-not-elim :args (@t293)) % 153.44/153.77 (step @p433 :rule refl :args (@t296)) % 153.44/153.77 (step @p434 :rule nary_cong :premises (@p433 @p432) :args ((or @t296 (not @t295)))) % 153.44/153.77 (step @p435 :rule cnf_or_neg :args (@t296 0)) % 153.44/153.77 (step @p436 :rule eq_resolve :premises (@p435 @p434)) % 153.44/153.77 (step @p437 :rule reordering :premises (@p436) :args ((or @t293 @t296))) % 153.44/153.77 (step @p438 :rule cnf_or_neg :args (@t296 1)) % 153.44/153.77 (step @p439 :rule instantiate :premises (@p391) :args ((@list @t300 @t270))) % 153.44/153.77 (step @p440 :rule cnf_or_pos :args (@t302)) % 153.44/153.77 (step @p441 :rule reordering :premises (@p440) :args ((or @t295 @t301 (not @t302)))) % 153.44/153.77 (step @p442 :rule not_implies_elim2 :premises (@p427)) % 153.44/153.77 (step @p443 :rule not_implies_elim1 :premises (@p442)) % 153.44/153.77 (step @p444 :rule instantiate :premises (@p443) :args ((@list tptp.emptyset @t270))) % 153.44/153.77 (step @p445 :rule cnf_or_pos :args (@t304)) % 153.44/153.77 (step @p446 :rule reordering :premises (@p445) :args ((or @t294 @t303 (not @t304)))) % 153.44/153.77 (step @p447 :rule refl :args (@t272)) % 153.44/153.77 (step @p448 :rule refl :args (@t297)) % 153.44/153.77 (step @p449 :rule eq-symm :args (@t270 @t260)) % 153.44/153.77 (step @p450 :rule cong :premises (@p449 @p448 @p447) :args (@t305)) % 153.44/153.77 (step @p451 :rule cong :premises (@p394 @p450) :args (@t306)) % 153.44/153.77 (step @p452 :rule cong :premises (@p451) :args (@t307)) % 153.44/153.77 (step @p453 :rule cong :premises (@p452) :args (@t308)) % 153.44/153.77 (step @p454 :rule cong :premises (@p453) :args (@t309)) % 153.44/153.77 (step @p455 :rule cong :premises (@p454) :args (@t310)) % 153.44/153.77 (step @p456 :rule cong :premises (@p400 @p455) :args ((=> @t268 @t310))) % 153.44/153.77 (assume-push @p690 @t268) % 153.44/153.77 (step @p458 :rule instantiate :premises (@p392) :args ((@list @t271 @t297 @t270))) % 153.44/153.77 (step-pop @p691 :rule scope :premises (@p458)) % 153.44/153.77 (step @p459 :rule process_scope :premises (@p691) :args (@t310)) % 153.44/153.77 (step @p461 :rule eq_resolve :premises (@p459 @p456)) % 153.44/153.77 (step @p462 :rule implies_elim :premises (@p461)) % 153.44/153.77 (step @p463 :rule chain_m_resolution :premises (@p462 @p392) :args (@t311 @t281 @t282)) % 153.44/153.77 (step @p464 :rule refl :args (@t313)) % 153.44/153.77 (step @p465 :rule bool-double-not-elim :args (@t299)) % 153.44/153.77 (step @p466 :rule nary_cong :premises (@p465 @p464) :args ((or (not @t311) @t313))) % 153.44/153.77 (step @p467 :rule eq-symm :args (@t312 @t298)) % 153.44/153.77 (step @p468 :rule cong :premises (@p467) :args (@t314)) % 153.44/153.77 (step @p469 :rule bool-double-not-elim :args (@t314)) % 153.44/153.77 (step @p470 :rule trans :premises (@p469 @p468)) % 153.44/153.77 (step @p471 :rule refl :args (@t311)) % 153.44/153.77 (step @p472 :rule cong :premises (@p471 @p470) :args ((=> @t311 @t315))) % 153.44/153.77 (assume-push @p692 @t311) % 153.44/153.77 (step @p474 :rule skolemize :premises (@p463)) % 153.44/153.77 (step-pop @p693 :rule scope :premises (@p474)) % 153.44/153.77 (step @p475 :rule process_scope :premises (@p693) :args (@t315)) % 153.44/153.77 (step @p477 :rule eq_resolve :premises (@p475 @p472)) % 153.44/153.77 (step @p478 :rule implies_elim :premises (@p477)) % 153.44/153.77 (step @p479 :rule eq_resolve :premises (@p478 @p466)) % 153.44/153.77 (step @p480 :rule chain_m_resolution :premises (@p479 @p463) :args (@t313 @t288 (@list @t299))) % 153.44/153.77 (step @p481 :rule refl :args (@t301)) % 153.44/153.77 (step @p482 :rule ite-true-cond :args (@t297 @t316)) % 153.44/153.77 (step @p483 :rule refl :args (@t316)) % 153.44/153.77 (step @p484 :rule eq-refl :args (@t270)) % 153.44/153.77 (step @p485 :rule cong :premises (@p484 @p448 @p483) :args (@t317)) % 153.44/153.77 (step @p486 :rule trans :premises (@p485 @p482)) % 153.44/153.77 (step @p487 :rule cong :premises (@p486 @p481) :args (@t318)) % 153.44/153.77 (step @p488 :rule cong :premises (@p464 @p487) :args ((=> @t313 @t318))) % 153.44/153.77 (assume-push @p694 @t313) % 153.44/153.77 (step @p490 :rule instantiate :premises (@p480) :args (@t289)) % 153.44/153.77 (step-pop @p695 :rule scope :premises (@p490)) % 153.44/153.77 (step @p491 :rule process_scope :premises (@p695) :args (@t318)) % 153.44/153.77 (step @p493 :rule eq_resolve :premises (@p491 @p488)) % 153.44/153.77 (step @p494 :rule implies_elim :premises (@p493)) % 153.44/153.77 (step @p495 :rule chain_m_resolution :premises (@p494 @p480) :args (@t319 @t281 (@list @t313))) % 153.44/153.77 (step @p496 :rule cnf_equiv_pos2 :args (@t319)) % 153.44/153.77 (step @p497 :rule reordering :premises (@p496) :args ((or @t297 (not @t301) (not @t319)))) % 153.44/153.77 (step @p498 :rule chain_m_resolution :premises (@p497 @p495 @p446 @p444 @p441 @p439 @p438 @p437) :args (@t296 (@list false true false false false true false) (@list @t319 @t297 @t304 @t301 @t302 @t294 @t293))) % 153.44/153.77 (step @p499 :rule refl :args (@t320)) % 153.44/153.77 (step @p500 :rule bool-double-not-elim :args (@t106)) % 153.44/153.77 (step @p501 :rule nary_cong :premises (@p500 @p499) :args ((or (not @t321) @t320))) % 153.44/153.77 (assume-push @p696 @t321) % 153.44/153.77 (step @p503 :rule skolemize :premises (@p696)) % 153.44/153.77 (step-pop @p697 :rule scope :premises (@p503)) % 153.44/153.77 (step @p504 :rule process_scope :premises (@p697) :args (@t320)) % 153.44/153.77 (step @p506 :rule implies_elim :premises (@p504)) % 153.44/153.77 (step @p507 :rule eq_resolve :premises (@p506 @p501)) % 153.44/153.77 (step @p508 :rule chain_m_resolution :premises (@p507 @p498) :args (@t106 @t281 (@list @t296))) % 153.44/153.77 (assume-push @p698 @t106) % 153.44/153.77 (step @p510 :rule instantiate :premises (@p698) :args (@t292)) % 153.44/153.77 (step-pop @p699 :rule scope :premises (@p510)) % 153.44/153.77 (step @p511 :rule process_scope :premises (@p699) :args (@t326)) % 153.44/153.77 (step @p513 :rule implies_elim :premises (@p511)) % 153.44/153.77 (step @p514 :rule chain_m_resolution :premises (@p513 @p508) :args (@t326 @t281 (@list @t106))) % 153.44/153.77 (step @p515 :rule bool-double-not-elim :args (@t329)) % 153.44/153.77 (step @p516 :rule refl :args (@t334)) % 153.44/153.77 (step @p517 :rule nary_cong :premises (@p516 @p515) :args ((or @t334 (not @t333)))) % 153.44/153.77 (step @p518 :rule cnf_or_neg :args (@t334 0)) % 153.44/153.77 (step @p519 :rule eq_resolve :premises (@p518 @p517)) % 153.44/153.77 (step @p520 :rule reordering :premises (@p519) :args ((or @t329 @t334))) % 153.44/153.77 (step @p521 :rule cnf_or_neg :args (@t334 4)) % 153.44/153.77 (step @p522 :rule instantiate :premises (@p391) :args ((@list @t331 @t327))) % 153.44/153.77 (step @p523 :rule cnf_or_pos :args (@t335)) % 153.44/153.77 (step @p524 :rule reordering :premises (@p523) :args ((or @t333 @t332 (not @t335)))) % 153.44/153.77 (step @p525 :rule chain_m_resolution :premises (@p524 @p522 @p521 @p520) :args (@t334 @t336 (@list @t335 @t332 @t329))) % 153.44/153.77 (step @p526 :rule refl :args (@t337)) % 153.44/153.77 (step @p527 :rule bool-double-not-elim :args (@t86)) % 153.44/153.77 (step @p528 :rule nary_cong :premises (@p527 @p526) :args ((or (not @t338) @t337))) % 153.44/153.77 (assume-push @p700 @t338) % 153.44/153.77 (step @p530 :rule skolemize :premises (@p700)) % 153.44/153.77 (step-pop @p701 :rule scope :premises (@p530)) % 153.44/153.77 (step @p531 :rule process_scope :premises (@p701) :args (@t337)) % 153.44/153.77 (step @p533 :rule implies_elim :premises (@p531)) % 153.44/153.77 (step @p534 :rule eq_resolve :premises (@p533 @p528)) % 153.44/153.77 (step @p535 :rule chain_m_resolution :premises (@p534 @p525) :args (@t86 @t281 (@list @t334))) % 153.44/153.77 (step @p536 :rule bool-double-not-elim :args (@t340)) % 153.44/153.77 (step @p537 :rule refl :args (@t346)) % 153.44/153.77 (step @p538 :rule nary_cong :premises (@p537 @p536) :args ((or @t346 (not @t345)))) % 153.44/153.77 (step @p539 :rule cnf_or_neg :args (@t346 3)) % 153.44/153.77 (step @p540 :rule eq_resolve :premises (@p539 @p538)) % 153.44/153.77 (step @p541 :rule reordering :premises (@p540) :args ((or @t340 @t346))) % 153.44/153.77 (step @p542 :rule cnf_or_neg :args (@t346 5)) % 153.44/153.77 (step @p543 :rule instantiate :premises (@p391) :args ((@list @t341 @t339))) % 153.44/153.77 (step @p544 :rule cnf_or_pos :args (@t347)) % 153.44/153.77 (step @p545 :rule reordering :premises (@p544) :args ((or @t345 @t342 (not @t347)))) % 153.44/153.77 (step @p546 :rule chain_m_resolution :premises (@p545 @p543 @p542 @p541) :args (@t346 @t336 (@list @t347 @t342 @t340))) % 153.44/153.77 (step @p547 :rule refl :args (@t348)) % 153.44/153.77 (step @p548 :rule bool-double-not-elim :args (@t93)) % 153.44/153.77 (step @p549 :rule nary_cong :premises (@p548 @p547) :args ((or (not @t349) @t348))) % 153.44/153.77 (assume-push @p702 @t349) % 153.44/153.77 (step @p551 :rule skolemize :premises (@p702)) % 153.44/153.77 (step-pop @p703 :rule scope :premises (@p551)) % 153.44/153.77 (step @p552 :rule process_scope :premises (@p703) :args (@t348)) % 153.44/153.77 (step @p554 :rule implies_elim :premises (@p552)) % 153.44/153.77 (step @p555 :rule eq_resolve :premises (@p554 @p549)) % 153.44/153.77 (step @p556 :rule chain_m_resolution :premises (@p555 @p546) :args (@t93 @t281 (@list @t346))) % 153.44/153.77 (step @p557 :rule bool-double-not-elim :args (@t351)) % 153.44/153.77 (step @p558 :rule refl :args (@t354)) % 153.44/153.77 (step @p559 :rule nary_cong :premises (@p558 @p557) :args ((or @t354 (not @t353)))) % 153.44/153.77 (step @p560 :rule cnf_or_neg :args (@t354 0)) % 153.44/153.77 (step @p561 :rule eq_resolve :premises (@p560 @p559)) % 153.44/153.77 (step @p562 :rule reordering :premises (@p561) :args ((or @t351 @t354))) % 153.44/153.77 (step @p563 :rule cnf_or_neg :args (@t354 1)) % 153.44/153.77 (step @p564 :rule instantiate :premises (@p443) :args ((@list tptp.emptyset @t350))) % 153.44/153.77 (step @p565 :rule cnf_or_pos :args (@t356)) % 153.44/153.77 (step @p566 :rule reordering :premises (@p565) :args ((or @t353 @t355 (not @t356)))) % 153.44/153.77 (step @p567 :rule instantiate :premises (@p428) :args ((@list @t350))) % 153.44/153.77 (step @p568 :rule cnf_or_pos :args (@t358)) % 153.44/153.77 (step @p569 :rule reordering :premises (@p568) :args ((or @t352 @t357 (not @t358)))) % 153.44/153.77 (step @p570 :rule chain_m_resolution :premises (@p569 @p567 @p566 @p564 @p563 @p562) :args (@t354 (@list false false false true false) (@list @t358 @t355 @t356 @t352 @t351))) % 153.44/153.77 (step @p571 :rule refl :args (@t359)) % 153.44/153.77 (step @p572 :rule bool-double-not-elim :args (@t104)) % 153.44/153.77 (step @p573 :rule nary_cong :premises (@p572 @p571) :args ((or (not @t360) @t359))) % 153.44/153.77 (assume-push @p704 @t360) % 153.44/153.77 (step @p575 :rule skolemize :premises (@p704)) % 153.44/153.77 (step-pop @p705 :rule scope :premises (@p575)) % 153.44/153.77 (step @p576 :rule process_scope :premises (@p705) :args (@t359)) % 153.44/153.77 (step @p578 :rule implies_elim :premises (@p576)) % 153.44/153.77 (step @p579 :rule eq_resolve :premises (@p578 @p573)) % 153.44/153.77 (step @p580 :rule chain_m_resolution :premises (@p579 @p570) :args (@t104 @t281 (@list @t354))) % 153.44/153.77 (step @p581 :rule not_implies_elim2 :premises (@p442)) % 153.44/153.77 (step @p582 :rule not_and :premises (@p581)) % 153.44/153.77 (step @p583 :rule chain_m_resolution :premises (@p582 @p508 @p580 @p556 @p535) :args (@t361 (@list false false false false) (@list @t106 @t104 @t93 @t86))) % 153.44/153.77 (step @p584 :rule refl :args (@t365)) % 153.44/153.77 (step @p585 :rule bool-double-not-elim :args (@t81)) % 153.44/153.77 (step @p586 :rule nary_cong :premises (@p585 @p584) :args ((or (not @t361) @t365))) % 153.44/153.77 (assume-push @p706 @t361) % 153.44/153.77 (step @p588 :rule skolemize :premises (@p706)) % 153.44/153.77 (step-pop @p707 :rule scope :premises (@p588)) % 153.44/153.77 (step @p589 :rule process_scope :premises (@p707) :args (@t365)) % 153.44/153.77 (step @p591 :rule implies_elim :premises (@p589)) % 153.44/153.77 (step @p592 :rule eq_resolve :premises (@p591 @p586)) % 153.44/153.77 (step @p593 :rule chain_m_resolution :premises (@p592 @p583) :args (@t365 @t288 (@list @t81))) % 153.44/153.77 (step @p594 :rule bool-double-not-elim :args (@t324)) % 153.44/153.77 (step @p595 :rule refl :args (@t364)) % 153.44/153.77 (step @p596 :rule nary_cong :premises (@p595 @p594) :args ((or @t364 (not @t325)))) % 153.44/153.77 (step @p597 :rule cnf_or_neg :args (@t364 0)) % 153.44/153.77 (step @p598 :rule eq_resolve :premises (@p597 @p596)) % 153.44/153.77 (step @p599 :rule reordering :premises (@p598) :args ((or @t324 @t364))) % 153.44/153.77 (step @p600 :rule chain_m_resolution :premises (@p599 @p593) :args (@t324 @t288 @t366)) % 153.44/153.77 (step @p601 :rule cnf_or_pos :args (@t326)) % 153.44/153.77 (step @p602 :rule reordering :premises (@p601) :args ((or @t325 @t322 (not @t326)))) % 153.44/153.77 (step @p603 :rule chain_m_resolution :premises (@p602 @p600 @p514) :args (@t322 @t367 (@list @t324 @t326))) % 153.44/153.77 (step @p604 :rule cnf_or_pos :args (@t370)) % 153.44/153.77 (step @p605 :rule reordering :premises (@p604) :args ((or @t368 @t369 (not @t370)))) % 153.44/153.77 (step @p606 :rule chain_m_resolution :premises (@p605 @p603 @p431) :args (@t368 @t367 (@list @t322 @t370))) % 153.44/153.77 (step @p607 :rule bool-double-not-elim :args (@t362)) % 153.44/153.77 (step @p608 :rule nary_cong :premises (@p595 @p607) :args ((or @t364 (not @t363)))) % 153.44/153.77 (step @p609 :rule cnf_or_neg :args (@t364 1)) % 153.44/153.77 (step @p610 :rule eq_resolve :premises (@p609 @p608)) % 153.44/153.77 (step @p611 :rule reordering :premises (@p610) :args ((or @t362 @t364))) % 153.44/153.77 (step @p612 :rule chain_m_resolution :premises (@p611 @p593) :args (@t362 @t288 @t366)) % 153.44/153.77 (assume-push @p708 @t362) % 153.44/153.77 (assume-push @p709 @t368) % 153.44/153.77 (assume-push @p710 @t362) % 153.44/153.77 (assume-push @p711 @t368) % 153.44/153.77 (step @p617 :rule true_intro :premises (@p708)) % 153.44/153.77 (step @p618 :rule refl :args (@t76)) % 153.44/153.77 (step @p619 :rule cong :premises (@p618 @p709) :args (@t371)) % 153.44/153.77 (step @p620 :rule cong :premises (@p619 @p709) :args (@t372)) % 153.44/153.77 (step @p621 :rule trans :premises (@p620 @p617)) % 153.44/153.77 (step @p622 :rule true_elim :premises (@p621)) % 153.44/153.77 (step-pop @p712 :rule scope :premises (@p622)) % 153.44/153.77 (step-pop @p713 :rule scope :premises (@p712)) % 153.44/153.77 (step @p623 :rule process_scope :premises (@p713) :args (@t372)) % 153.44/153.77 (step @p626 :rule and_intro :premises (@p708 @p709)) % 153.44/153.77 (step @p627 :rule modus_ponens :premises (@p626 @p623)) % 153.44/153.77 (step-pop @p714 :rule scope :premises (@p627)) % 153.44/153.77 (step-pop @p715 :rule scope :premises (@p714)) % 153.44/153.77 (step @p628 :rule process_scope :premises (@p715) :args (@t372)) % 153.44/153.77 (step @p631 :rule implies_elim :premises (@p628)) % 153.44/153.77 (step @p632 :rule cnf_and_neg :args (@t373)) % 153.44/153.77 (step @p633 :rule resolution :premises (@p632 @p631) :args (true @t373)) % 153.44/153.77 (step @p634 :rule reordering :premises (@p633) :args ((or @t372 @t363 @t374))) % 153.44/153.77 (step @p635 :rule chain_m_resolution :premises (@p634 @p612 @p606) :args (@t372 @t367 (@list @t362 @t368))) % 153.44/153.77 (step @p636 :rule cnf_or_pos :args (@t376)) % 153.44/153.77 (step @p637 :rule reordering :premises (@p636) :args ((or @t294 @t375 (not @t376)))) % 153.44/153.77 (step @p638 :rule chain_m_resolution :premises (@p637 @p635 @p430) :args (@t294 @t367 (@list @t372 @t376))) % 153.44/153.77 (step @p639 :rule cnf_or_pos :args (@t379)) % 153.44/153.77 (step @p640 :rule reordering :premises (@p639) :args ((or @t378 @t377 (not @t379)))) % 153.44/153.77 (step @p641 :rule chain_m_resolution :premises (@p640 @p638 @p429) :args (@t377 @t367 (@list @t294 @t379))) % 153.44/153.77 (step @p642 :rule cnf_and_pos :args (@t381 0)) % 153.44/153.77 (step @p643 :rule reordering :premises (@p642) :args ((or @t380 @t382))) % 153.44/153.77 (step @p644 :rule chain_m_resolution :premises (@p643 @p641) :args (@t382 @t281 (@list @t377))) % 153.44/153.77 (step @p645 :rule cnf_equiv_pos2 :args (@t384)) % 153.44/153.77 (step @p646 :rule reordering :premises (@p645) :args ((or @t381 @t385 (not @t384)))) % 153.44/153.77 (step @p647 :rule chain_m_resolution :premises (@p646 @p644 @p426) :args (@t385 @t386 (@list @t381 @t384))) % 153.44/153.77 (assume-push @p716 @t377) % 153.44/153.77 (assume-push @p717 @t362) % 153.44/153.77 (assume-push @p718 @t368) % 153.44/153.77 (assume-push @p719 @t362) % 153.44/153.77 (assume-push @p720 @t368) % 153.44/153.77 (assume-push @p721 @t377) % 153.44/153.77 (step @p654 :rule true_intro :premises (@p717)) % 153.44/153.77 (step @p618 :rule refl :args (@t76)) % 153.44/153.77 (step @p655 :rule cong :premises (@p618 @p718) :args (@t371)) % 153.44/153.77 (step @p656 :rule cong :premises (@p655 @p718) :args (@t372)) % 153.44/153.77 (step @p657 :rule symm :premises (@p716)) % 153.44/153.77 (step @p658 :rule cong :premises (@p618 @p657) :args (@t271)) % 153.44/153.77 (step @p659 :rule cong :premises (@p658 @p92) :args (@t293)) % 153.44/153.77 (step @p660 :rule trans :premises (@p659 @p656 @p654)) % 153.44/153.77 (step @p661 :rule true_elim :premises (@p660)) % 153.44/153.77 (step-pop @p722 :rule scope :premises (@p661)) % 153.44/153.77 (step-pop @p723 :rule scope :premises (@p722)) % 153.44/153.77 (step-pop @p724 :rule scope :premises (@p723)) % 153.44/153.77 (step @p662 :rule process_scope :premises (@p724) :args (@t293)) % 153.44/153.77 (step @p666 :rule and_intro :premises (@p717 @p718 @p716)) % 153.44/153.77 (step @p667 :rule modus_ponens :premises (@p666 @p662)) % 153.44/153.77 (step-pop @p725 :rule scope :premises (@p667)) % 153.44/153.77 (step-pop @p726 :rule scope :premises (@p725)) % 153.44/153.77 (step-pop @p727 :rule scope :premises (@p726)) % 153.44/153.77 (step @p668 :rule process_scope :premises (@p727) :args (@t293)) % 153.44/153.77 (step @p672 :rule implies_elim :premises (@p668)) % 153.44/153.77 (step @p673 :rule cnf_and_neg :args (@t387)) % 153.44/153.77 (step @p674 :rule resolution :premises (@p673 @p672) :args (true @t387)) % 153.44/153.77 (step @p675 :rule reordering :premises (@p674) :args ((or @t293 @t380 @t363 @t374))) % 153.44/153.77 (step @p676 :rule chain_m_resolution :premises (@p675 @p641 @p612 @p606) :args (@t293 (@list false false false) (@list @t377 @t362 @t368))) % 153.44/153.77 (step @p677 :rule cnf_or_pos :args (@t388)) % 153.44/153.77 (step @p678 :rule reordering :premises (@p677) :args ((or @t295 @t383 @t389))) % 153.44/153.77 (step @p679 :rule chain_m_resolution :premises (@p678 @p676 @p647) :args (@t389 (@list false true) (@list @t293 @t383))) % 153.44/153.77 (assume-push @p728 @t109) % 153.44/153.77 (step @p681 :rule instantiate :premises (@p391) :args ((@list @t283 @t270))) % 153.44/153.77 (step-pop @p729 :rule scope :premises (@p681)) % 153.44/153.77 (step @p682 :rule process_scope :premises (@p729) :args (@t388)) % 153.44/153.77 (step @p684 :rule implies_elim :premises (@p682)) % 153.44/153.77 (step @p685 false :rule chain_m_resolution :premises (@p684 @p679 @p391) :args (false @t386 (@list @t388 @t109))) % 153.44/153.77 ) % 153.44/153.77 % SZS output end Proof % 153.44/153.77 % cvc5 exiting %------------------------------------------------------------------------------