%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV428^2 : TPTP v9.2.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 09:01:30 AM UTC 2026 % Result : Theorem 150.94s 151.26s % Output : Proof 150.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SWV428^2 : TPTP v9.2.1. Released v3.6.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n014.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 20:17:58 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.51 %----Proving TH0 % 150.94/151.26 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.94/151.26 --- 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... % 150.94/151.26 --- 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... % 150.94/151.26 --- Run --ho-elim --full-saturate-quant at 18s... % 150.94/151.26 % SZS status Theorem % 150.94/151.26 % SZS output start Proof % 150.94/151.26 ( % 150.94/151.26 (declare-sort $$unsorted 0) % 150.94/151.26 (declare-sort tptp.individuals 0) % 150.94/151.26 (declare-const tptp.rel (-> $$unsorted $$unsorted Bool)) % 150.94/151.26 (declare-const tptp.bob (-> $$unsorted Bool)) % 150.94/151.26 (declare-const tptp.admin (-> $$unsorted Bool)) % 150.94/151.26 (declare-const tptp.deletefile1 (-> $$unsorted Bool)) % 150.94/151.26 (declare-const tptp.icl_true (-> $$unsorted Bool)) % 150.94/151.26 (declare-const tptp.icl_false (-> $$unsorted Bool)) % 150.94/151.26 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 150.94/151.26 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 150.94/151.26 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 150.94/151.26 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.94/151.26 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 150.94/151.26 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 150.94/151.26 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "U" (-> $$unsorted Bool)))) (let ((_let_3 (@var "V" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimpl _let_2) _let_3)) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 150.94/151.26 (define tptp.mbox () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 150.94/151.26 (define tptp.mdia () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 150.94/151.26 (define tptp.mall () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.94/151.26 (define tptp.mexists () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 150.94/151.26 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 150.94/151.26 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 150.94/151.26 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 150.94/151.26 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 150.94/151.26 (define tptp.icl_atom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.rel) _let_2) _let_1))))) % 150.94/151.26 (define tptp.icl_princ () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ _let_2 _let_1))))) % 150.94/151.26 (define tptp.icl_and () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 150.94/151.26 (define tptp.icl_or () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor _let_3) _let_2) _let_1)))))) % 150.94/151.26 (define tptp.icl_impl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.rel) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 150.94/151.26 (define tptp.icl_says () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "S" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.rel) (_ (_ tptp.mor _let_3) _let_2)) _let_1)))))) % 150.94/151.26 (define tptp.iclval () (let ((_let_1 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_1) (_ tptp.mvalid _let_1)))) % 150.94/151.26 (define @t1 () (@var "A" (-> $$unsorted Bool))) % 150.94/151.26 (define @t2 () (_ tptp.mbox tptp.rel)) % 150.94/151.26 (define @t3 () (@list @t1)) % 150.94/151.26 (define @t4 () (forall @t3 (_ tptp.mvalid (_ (_ tptp.mimpl (_ @t2 @t1)) @t1)))) % 150.94/151.26 (define @t5 () (@var "B" (-> $$unsorted Bool))) % 150.94/151.26 (define @t6 () (_ @t2 @t5)) % 150.94/151.26 (define @t7 () (_ tptp.icl_atom tptp.deletefile1)) % 150.94/151.26 (define @t8 () (_ tptp.icl_says (_ tptp.icl_princ tptp.admin))) % 150.94/151.26 (define @t9 () (_ (_ tptp.icl_says (_ tptp.icl_princ tptp.bob)) @t7)) % 150.94/151.26 (define @t10 () (not (_ tptp.iclval @t7))) % 150.94/151.26 (define @t11 () (@var "X" $$unsorted)) % 150.94/151.26 (define @t12 () (@list @t11)) % 150.94/151.26 (define @t13 () (lambda @t12 false)) % 150.94/151.26 (define @t14 () (lambda @t12 true)) % 150.94/151.26 (define @t15 () (@var "U" $$unsorted)) % 150.94/151.26 (define @t16 () (@var "X" (-> $$unsorted Bool))) % 150.94/151.26 (define @t17 () (_ @t16 @t15)) % 150.94/151.26 (define @t18 () (lambda (@list @t16 @t15) (not @t17))) % 150.94/151.26 (define @t19 () (@var "Y" (-> $$unsorted Bool))) % 150.94/151.26 (define @t20 () (_ @t19 @t15)) % 150.94/151.26 (define @t21 () (@list @t16 @t19 @t15)) % 150.94/151.26 (define @t22 () (lambda @t21 (or @t17 @t20))) % 150.94/151.26 (define @t23 () (lambda @t21 (and @t17 @t20))) % 150.94/151.26 (define @t24 () (@var "__flatten_var_0" $$unsorted)) % 150.94/151.26 (define @t25 () (@var "V" (-> $$unsorted Bool))) % 150.94/151.26 (define @t26 () (@var "U" (-> $$unsorted Bool))) % 150.94/151.26 (define @t27 () (@list @t26 @t25 @t24)) % 150.94/151.26 (define @t28 () (lambda @t27 (_ (_ (_ tptp.mor (_ tptp.mnot @t26)) @t25) @t24))) % 150.94/151.26 (define @t29 () (lambda @t27 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t26) @t25)) (_ (_ tptp.mimpl @t25) @t26)) @t24))) % 150.94/151.26 (define @t30 () (@var "Y" $$unsorted)) % 150.94/151.26 (define @t31 () (@var "P" (-> $$unsorted Bool))) % 150.94/151.26 (define @t32 () (_ @t31 @t30)) % 150.94/151.26 (define @t33 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 150.94/151.26 (define @t34 () (_ (_ @t33 @t11) @t30)) % 150.94/151.26 (define @t35 () (@list @t30)) % 150.94/151.26 (define @t36 () (forall @t35 (=> @t34 @t32))) % 150.94/151.26 (define @t37 () (@list @t33 @t31 @t11)) % 150.94/151.26 (define @t38 () (lambda @t37 @t36)) % 150.94/151.26 (define @t39 () (lambda @t37 (exists @t35 (and @t34 @t32)))) % 150.94/151.26 (define @t40 () (@var "W" $$unsorted)) % 150.94/151.26 (define @t41 () (@var "X" tptp.individuals)) % 150.94/151.26 (define @t42 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 150.94/151.26 (define @t43 () (_ (_ @t42 @t41) @t40)) % 150.94/151.26 (define @t44 () (@list @t41)) % 150.94/151.26 (define @t45 () (@list @t42 @t40)) % 150.94/151.26 (define @t46 () (lambda @t45 (forall @t44 @t43))) % 150.94/151.26 (define @t47 () (lambda @t45 (exists @t44 @t43))) % 150.94/151.26 (define @t48 () (_ @t31 @t40)) % 150.94/151.26 (define @t49 () (@list @t40)) % 150.94/151.26 (define @t50 () (forall @t49 @t48)) % 150.94/151.26 (define @t51 () (@list @t31)) % 150.94/151.26 (define @t52 () (lambda @t51 @t50)) % 150.94/151.26 (define @t53 () (lambda @t51 (exists @t49 @t48))) % 150.94/151.26 (define @t54 () (not @t48)) % 150.94/151.26 (define @t55 () (lambda @t51 (exists @t49 @t54))) % 150.94/151.26 (define @t56 () (lambda @t51 (forall @t49 @t54))) % 150.94/151.26 (define @t57 () (@list @t31 @t24)) % 150.94/151.26 (define @t58 () (lambda @t57 (_ (_ @t2 @t31) @t24))) % 150.94/151.26 (define @t59 () (lambda @t57 (_ @t31 @t24))) % 150.94/151.26 (define @t60 () (@list @t1 @t5 @t24)) % 150.94/151.26 (define @t61 () (lambda @t60 (_ (_ (_ tptp.mand @t1) @t5) @t24))) % 150.94/151.26 (define @t62 () (_ tptp.mor @t1)) % 150.94/151.26 (define @t63 () (lambda @t60 (_ (_ @t62 @t5) @t24))) % 150.94/151.26 (define @t64 () (lambda @t60 (_ (_ @t2 (_ (_ tptp.mimpl @t1) @t5)) @t24))) % 150.94/151.26 (define @t65 () (@var "S" (-> $$unsorted Bool))) % 150.94/151.26 (define @t66 () (@list @t1 @t65 @t24)) % 150.94/151.26 (define @t67 () (lambda @t66 (_ (_ @t2 (_ @t62 @t65)) @t24))) % 150.94/151.26 (define @t68 () (@list @t16)) % 150.94/151.26 (define @t69 () (lambda @t68 (_ tptp.mvalid @t16))) % 150.94/151.26 (define @t70 () (@var "BOUND_VARIABLE_8304" $$unsorted)) % 150.94/151.26 (define @t71 () (@const 0 (@ho-elim-sort (-> $$unsorted Bool)))) % 150.94/151.26 (define @t72 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.94/151.26 (define @t73 () (_ @t72 @t71 @t70)) % 150.94/151.26 (define @t74 () (@const 2 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 150.94/151.26 (define @t75 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 150.94/151.26 (define @t76 () (_ @t75 @t74 @t30)) % 150.94/151.26 (define @t77 () (@const 4 (@ho-elim-sort (-> $$unsorted Bool)))) % 150.94/151.26 (define @t78 () (not (_ @t72 (_ @t75 @t74 @t40) @t30))) % 150.94/151.26 (define @t79 () (@list @t40 @t30 @t70)) % 150.94/151.26 (define @t80 () (forall @t79 (or @t78 (_ @t72 @t77 @t30) (not (_ @t72 @t76 @t70)) @t73))) % 150.94/151.26 (define @t81 () (tptp.deletefile1 @t70)) % 150.94/151.26 (define @t82 () (not (tptp.rel @t30 @t70))) % 150.94/151.26 (define @t83 () (tptp.bob @t30)) % 150.94/151.26 (define @t84 () (not (tptp.rel @t40 @t30))) % 150.94/151.26 (define @t85 () (or @t84 @t83 @t82 @t81)) % 150.94/151.26 (define @t86 () (forall @t79 @t85)) % 150.94/151.26 (define @t87 () (@list @t30 @t70)) % 150.94/151.26 (define @t88 () (forall @t87 @t85)) % 150.94/151.26 (define @t89 () (not (tptp.rel @t24 @t30))) % 150.94/151.26 (define @t90 () (or @t89 @t83 @t82 @t81)) % 150.94/151.26 (define @t91 () (forall @t87 @t90)) % 150.94/151.26 (define @t92 () (@list @t24)) % 150.94/151.26 (define @t93 () (lambda @t92 @t91)) % 150.94/151.26 (define @t94 () (_ @t93 @t40)) % 150.94/151.26 (define @t95 () (forall @t49 @t94)) % 150.94/151.26 (define @t96 () (forall @t49 (_ @t16 @t40))) % 150.94/151.26 (define @t97 () (lambda @t68 @t96)) % 150.94/151.26 (define @t98 () (or @t82 @t81)) % 150.94/151.26 (define @t99 () (or @t89 @t83 @t98)) % 150.94/151.26 (define @t100 () (forall @t87 @t99)) % 150.94/151.26 (define @t101 () (@list @t70)) % 150.94/151.26 (define @t102 () (forall @t101 @t99)) % 150.94/151.26 (define @t103 () (forall @t101 @t98)) % 150.94/151.26 (define @t104 () (@var "BOUND_VARIABLE_8194" $$unsorted)) % 150.94/151.26 (define @t105 () (@list @t104)) % 150.94/151.26 (define @t106 () (or @t89 @t83 @t103)) % 150.94/151.26 (define @t107 () (tptp.deletefile1 @t104)) % 150.94/151.26 (define @t108 () (@list @t104)) % 150.94/151.26 (define @t109 () (forall @t108 (or (not (tptp.rel @t30 @t104)) @t107))) % 150.94/151.26 (define @t110 () (tptp.deletefile1 @t30)) % 150.94/151.26 (define @t111 () (forall @t35 (or @t89 @t110))) % 150.94/151.26 (define @t112 () (@list @t30)) % 150.94/151.26 (define @t113 () (lambda @t92 @t111)) % 150.94/151.26 (define @t114 () (_ @t113 @t30)) % 150.94/151.26 (define @t115 () (or @t89 @t83 @t114)) % 150.94/151.26 (define @t116 () (forall @t35 @t115)) % 150.94/151.26 (define @t117 () (lambda @t92 @t116)) % 150.94/151.26 (define @t118 () (_ @t65 @t30)) % 150.94/151.26 (define @t119 () (@list @t65 @t24)) % 150.94/151.26 (define @t120 () (_ @t31 @t30)) % 150.94/151.26 (define @t121 () (forall @t35 (or @t89 @t120))) % 150.94/151.26 (define @t122 () (_ (lambda @t57 @t121) tptp.deletefile1)) % 150.94/151.26 (define @t123 () (_ tptp.bob @t30)) % 150.94/151.26 (define @t124 () (or @t89 @t123 @t118)) % 150.94/151.26 (define @t125 () (lambda @t92 (_ tptp.bob @t24))) % 150.94/151.26 (define @t126 () (_ @t125 @t30)) % 150.94/151.26 (define @t127 () (or @t89 @t126 @t118)) % 150.94/151.26 (define @t128 () (forall @t35 @t127)) % 150.94/151.26 (define @t129 () (lambda @t119 @t128)) % 150.94/151.26 (define @t130 () (_ @t1 @t30)) % 150.94/151.26 (define @t131 () (forall @t35 (or @t89 @t130 @t118))) % 150.94/151.26 (define @t132 () (lambda @t66 @t131)) % 150.94/151.26 (define @t133 () (not (tptp.rel @t11 @t30))) % 150.94/151.26 (define @t134 () (forall @t35 (or @t133 @t120))) % 150.94/151.26 (define @t135 () (lambda @t12 @t134)) % 150.94/151.26 (define @t136 () (lambda (@list @t31 @t11) @t134)) % 150.94/151.26 (define @t137 () (_ @t33 @t11 @t30)) % 150.94/151.26 (define @t138 () (_ (lambda @t37 (forall @t35 (or (not @t137) @t120))) tptp.rel)) % 150.94/151.26 (define @t139 () (not @t34)) % 150.94/151.26 (define @t140 () (or @t139 @t32)) % 150.94/151.26 (define @t141 () (_ @t65 @t30)) % 150.94/151.26 (define @t142 () (_ @t1 @t30)) % 150.94/151.26 (define @t143 () (or @t133 @t142 @t141)) % 150.94/151.26 (define @t144 () (or @t142 @t141)) % 150.94/151.26 (define @t145 () (_ @t1 @t15)) % 150.94/151.26 (define @t146 () (@list @t15)) % 150.94/151.26 (define @t147 () (lambda @t146 (or @t145 (_ @t65 @t15)))) % 150.94/151.26 (define @t148 () (_ @t147 @t30)) % 150.94/151.26 (define @t149 () (or @t133 @t148)) % 150.94/151.26 (define @t150 () (forall @t35 @t149)) % 150.94/151.26 (define @t151 () (lambda @t12 @t150)) % 150.94/151.26 (define @t152 () (@list @t19 @t15)) % 150.94/151.26 (define @t153 () (lambda @t152 (or @t145 @t20))) % 150.94/151.26 (define @t154 () (_ @t31 @t40)) % 150.94/151.26 (define @t155 () (lambda @t51 (forall @t49 @t154))) % 150.94/151.26 (define @t156 () (@var "BOUND_VARIABLE_8390" $$unsorted)) % 150.94/151.26 (define @t157 () (@var "BOUND_VARIABLE_8388" $$unsorted)) % 150.94/151.26 (define @t158 () (_ @t75 @t74 @t157)) % 150.94/151.26 (define @t159 () (@var "BOUND_VARIABLE_8322" $$unsorted)) % 150.94/151.26 (define @t160 () (not (_ @t72 (_ @t75 @t74 @t159) @t70))) % 150.94/151.26 (define @t161 () (_ @t72 @t77 @t159)) % 150.94/151.26 (define @t162 () (@list @t159 @t70)) % 150.94/151.26 (define @t163 () (@const 5 (@ho-elim-sort (-> $$unsorted Bool)))) % 150.94/151.26 (define @t164 () (@list @t40 @t30 @t157 @t156)) % 150.94/151.26 (define @t165 () (tptp.deletefile1 @t156)) % 150.94/151.26 (define @t166 () (not (tptp.rel @t157 @t156))) % 150.94/151.26 (define @t167 () (not (tptp.rel @t159 @t70))) % 150.94/151.26 (define @t168 () (tptp.bob @t159)) % 150.94/151.26 (define @t169 () (not (forall @t162 (or (not (tptp.rel @t157 @t159)) @t168 @t167 @t81)))) % 150.94/151.26 (define @t170 () (not (tptp.rel @t30 @t157))) % 150.94/151.26 (define @t171 () (tptp.admin @t30)) % 150.94/151.26 (define @t172 () (or @t84 @t171 @t170 @t169 @t166 @t165)) % 150.94/151.26 (define @t173 () (forall @t164 @t172)) % 150.94/151.26 (define @t174 () (@list @t30 @t157 @t156)) % 150.94/151.26 (define @t175 () (forall @t174 @t172)) % 150.94/151.26 (define @t176 () (or @t89 @t171 @t170 @t169 @t166 @t165)) % 150.94/151.26 (define @t177 () (lambda @t92 (forall @t174 @t176))) % 150.94/151.26 (define @t178 () (_ @t177 @t40)) % 150.94/151.26 (define @t179 () (forall @t49 @t178)) % 150.94/151.26 (define @t180 () (or @t170 @t169 @t166 @t165)) % 150.94/151.26 (define @t181 () (or @t89 @t171 @t180)) % 150.94/151.26 (define @t182 () (forall @t174 @t181)) % 150.94/151.26 (define @t183 () (@list @t157 @t156)) % 150.94/151.26 (define @t184 () (forall @t183 @t181)) % 150.94/151.26 (define @t185 () (forall @t183 @t180)) % 150.94/151.26 (define @t186 () (@var "BOUND_VARIABLE_8349" $$unsorted)) % 150.94/151.26 (define @t187 () (@var "BOUND_VARIABLE_8366" $$unsorted)) % 150.94/151.26 (define @t188 () (or @t89 @t171 @t185)) % 150.94/151.26 (define @t189 () (tptp.deletefile1 @t186)) % 150.94/151.26 (define @t190 () (not (tptp.rel @t187 @t186))) % 150.94/151.26 (define @t191 () (not (forall @t162 (or (not (tptp.rel @t187 @t159)) @t168 @t167 @t81)))) % 150.94/151.26 (define @t192 () (@list @t187 @t186)) % 150.94/151.26 (define @t193 () (forall @t192 (or (not (tptp.rel @t30 @t187)) @t191 @t190 @t189))) % 150.94/151.26 (define @t194 () (not (tptp.rel @t30 @t186))) % 150.94/151.26 (define @t195 () (forall @t162 (or (not (tptp.rel @t30 @t159)) @t168 @t167 @t81))) % 150.94/151.26 (define @t196 () (not @t195)) % 150.94/151.26 (define @t197 () (or @t89 @t196 @t194 @t189)) % 150.94/151.26 (define @t198 () (@list @t30 @t186)) % 150.94/151.26 (define @t199 () (forall @t198 @t197)) % 150.94/151.26 (define @t200 () (lambda @t92 @t199)) % 150.94/151.26 (define @t201 () (or @t89 @t171 (_ @t200 @t30))) % 150.94/151.26 (define @t202 () (forall @t35 @t201)) % 150.94/151.26 (define @t203 () (lambda @t92 @t202)) % 150.94/151.26 (define @t204 () (lambda @t119 (forall @t35 (or @t89 @t171 @t118)))) % 150.94/151.26 (define @t205 () (or @t194 @t189)) % 150.94/151.26 (define @t206 () (or @t89 @t196 @t205)) % 150.94/151.26 (define @t207 () (forall @t198 @t206)) % 150.94/151.26 (define @t208 () (@list @t186)) % 150.94/151.26 (define @t209 () (forall @t208 @t206)) % 150.94/151.26 (define @t210 () (forall @t208 @t205)) % 150.94/151.26 (define @t211 () (or @t89 @t196 @t210)) % 150.94/151.26 (define @t212 () (or @t89 @t196 @t114)) % 150.94/151.26 (define @t213 () (forall @t35 @t212)) % 150.94/151.26 (define @t214 () (lambda @t92 @t213)) % 150.94/151.26 (define @t215 () (_ @t5 @t30)) % 150.94/151.26 (define @t216 () (@list @t5 @t24)) % 150.94/151.26 (define @t217 () (not (_ @t93 @t30))) % 150.94/151.26 (define @t218 () (or @t89 @t217 @t215)) % 150.94/151.26 (define @t219 () (forall @t35 @t218)) % 150.94/151.26 (define @t220 () (lambda @t216 @t219)) % 150.94/151.26 (define @t221 () (not @t130)) % 150.94/151.26 (define @t222 () (forall @t35 (or @t89 @t221 @t215))) % 150.94/151.26 (define @t223 () (lambda @t60 @t222)) % 150.94/151.26 (define @t224 () (_ tptp.admin @t30)) % 150.94/151.26 (define @t225 () (or @t89 @t224 @t118)) % 150.94/151.26 (define @t226 () (lambda @t92 (_ tptp.admin @t24))) % 150.94/151.26 (define @t227 () (_ @t226 @t30)) % 150.94/151.26 (define @t228 () (or @t89 @t227 @t118)) % 150.94/151.26 (define @t229 () (forall @t35 @t228)) % 150.94/151.26 (define @t230 () (lambda @t119 @t229)) % 150.94/151.26 (define @t231 () (_ @t5 @t30)) % 150.94/151.26 (define @t232 () (not @t142)) % 150.94/151.26 (define @t233 () (or @t133 @t232 @t231)) % 150.94/151.26 (define @t234 () (or @t232 @t231)) % 150.94/151.26 (define @t235 () (_ @t1 @t24)) % 150.94/151.26 (define @t236 () (not @t235)) % 150.94/151.26 (define @t237 () (lambda @t92 (or @t236 (_ @t5 @t24)))) % 150.94/151.26 (define @t238 () (_ @t237 @t30)) % 150.94/151.26 (define @t239 () (or @t133 @t238)) % 150.94/151.26 (define @t240 () (forall @t35 @t239)) % 150.94/151.26 (define @t241 () (lambda @t12 @t240)) % 150.94/151.26 (define @t242 () (_ @t25 @t24)) % 150.94/151.26 (define @t243 () (@list @t25 @t24)) % 150.94/151.26 (define @t244 () (lambda @t243 (or @t236 @t242))) % 150.94/151.26 (define @t245 () (or (not (_ @t26 @t24)) @t242)) % 150.94/151.26 (define @t246 () (lambda @t27 @t245)) % 150.94/151.26 (define @t247 () (not (_ @t26 @t15))) % 150.94/151.26 (define @t248 () (lambda @t146 (or @t247 (_ @t25 @t15)))) % 150.94/151.26 (define @t249 () (lambda @t146 @t247)) % 150.94/151.26 (define @t250 () (_ @t249 @t15)) % 150.94/151.26 (define @t251 () (or @t250 @t20)) % 150.94/151.26 (define @t252 () (lambda @t152 @t251)) % 150.94/151.26 (define @t253 () (_ @t72 @t71 @t30)) % 150.94/151.26 (define @t254 () (@var "BOUND_VARIABLE_8210" $$unsorted)) % 150.94/151.26 (define @t255 () (_ @t72 @t71 @t254)) % 150.94/151.26 (define @t256 () (@var "BOUND_VARIABLE_8228" $$unsorted)) % 150.94/151.26 (define @t257 () (not (_ @t72 (_ @t75 @t74 @t256) @t254))) % 150.94/151.26 (define @t258 () (_ @t72 @t163 @t256)) % 150.94/151.26 (define @t259 () (@list @t40 @t30)) % 150.94/151.26 (define @t260 () (forall @t259 (or @t78 @t253))) % 150.94/151.26 (define @t261 () (@quantifiers_skolemize @t260 1)) % 150.94/151.26 (define @t262 () (_ @t75 @t74 @t261)) % 150.94/151.26 (define @t263 () (@list @t256 @t254)) % 150.94/151.26 (define @t264 () (forall @t263 (or (not (_ @t72 @t262 @t256)) @t258 @t257 @t255))) % 150.94/151.26 (define @t265 () (@quantifiers_skolemize @t264 1)) % 150.94/151.26 (define @t266 () (_ @t75 @t74 @t265)) % 150.94/151.26 (define @t267 () (forall @t35 (or (not (_ @t72 @t266 @t30)) @t253))) % 150.94/151.26 (define @t268 () (@quantifiers_skolemize @t267 0)) % 150.94/151.26 (define @t269 () (@quantifiers_skolemize @t264 0)) % 150.94/151.26 (define @t270 () (@var "BOUND_VARIABLE_8444" (@ho-elim-sort (-> $$unsorted Bool)))) % 150.94/151.26 (define @t271 () (_ @t1 @t40)) % 150.94/151.26 (define @t272 () (not (forall @t35 (or @t84 @t130)))) % 150.94/151.26 (define @t273 () (or @t272 @t271)) % 150.94/151.26 (define @t274 () (forall (@list @t1 @t40) @t273)) % 150.94/151.26 (define @t275 () (_ @t1 @t40)) % 150.94/151.26 (define @t276 () (or @t272 @t275)) % 150.94/151.26 (define @t277 () (forall @t35 (or @t89 @t130))) % 150.94/151.26 (define @t278 () (not @t277)) % 150.94/151.26 (define @t279 () (lambda @t92 (or @t278 @t235))) % 150.94/151.26 (define @t280 () (_ @t279 @t40)) % 150.94/151.26 (define @t281 () (forall @t49 @t280)) % 150.94/151.26 (define @t282 () (lambda @t12 (forall @t35 (or @t133 @t130)))) % 150.94/151.26 (define @t283 () (_ @t282 @t24)) % 150.94/151.26 (define @t284 () (not @t283)) % 150.94/151.26 (define @t285 () (or @t284 @t242)) % 150.94/151.26 (define @t286 () (lambda @t243 @t285)) % 150.94/151.26 (define @t287 () (@var "BOUND_VARIABLE_8255" $$unsorted)) % 150.94/151.26 (define @t288 () (@list @t40 @t30 @t287)) % 150.94/151.26 (define @t289 () (tptp.deletefile1 @t287)) % 150.94/151.26 (define @t290 () (not (tptp.rel @t30 @t287))) % 150.94/151.26 (define @t291 () (tptp.deletefile1 @t254)) % 150.94/151.26 (define @t292 () (not (tptp.rel @t256 @t254))) % 150.94/151.26 (define @t293 () (tptp.admin @t256)) % 150.94/151.26 (define @t294 () (forall @t263 (or (not (tptp.rel @t30 @t256)) @t293 @t292 @t291))) % 150.94/151.26 (define @t295 () (not @t294)) % 150.94/151.26 (define @t296 () (or @t84 @t295 @t290 @t289)) % 150.94/151.26 (define @t297 () (forall @t288 @t296)) % 150.94/151.26 (define @t298 () (@list @t30 @t287)) % 150.94/151.26 (define @t299 () (forall @t298 @t296)) % 150.94/151.26 (define @t300 () (or @t89 @t295 @t290 @t289)) % 150.94/151.26 (define @t301 () (lambda @t92 (forall @t298 @t300))) % 150.94/151.26 (define @t302 () (_ @t301 @t40)) % 150.94/151.26 (define @t303 () (forall @t49 @t302)) % 150.94/151.26 (define @t304 () (or @t290 @t289)) % 150.94/151.26 (define @t305 () (or @t89 @t295 @t304)) % 150.94/151.26 (define @t306 () (forall @t298 @t305)) % 150.94/151.26 (define @t307 () (@list @t287)) % 150.94/151.26 (define @t308 () (forall @t307 @t305)) % 150.94/151.26 (define @t309 () (forall @t307 @t304)) % 150.94/151.26 (define @t310 () (or @t89 @t295 @t309)) % 150.94/151.26 (define @t311 () (or @t89 @t295 @t114)) % 150.94/151.26 (define @t312 () (forall @t35 @t311)) % 150.94/151.26 (define @t313 () (lambda @t92 @t312)) % 150.94/151.26 (define @t314 () (not (tptp.rel @t30 @t254))) % 150.94/151.26 (define @t315 () (or @t89 @t171 @t314 @t291)) % 150.94/151.26 (define @t316 () (@list @t30 @t254)) % 150.94/151.26 (define @t317 () (forall @t316 @t315)) % 150.94/151.26 (define @t318 () (lambda @t92 @t317)) % 150.94/151.26 (define @t319 () (not (_ @t318 @t30))) % 150.94/151.26 (define @t320 () (or @t89 @t319 @t215)) % 150.94/151.26 (define @t321 () (forall @t35 @t320)) % 150.94/151.26 (define @t322 () (lambda @t216 @t321)) % 150.94/151.26 (define @t323 () (or @t314 @t291)) % 150.94/151.26 (define @t324 () (or @t89 @t171 @t323)) % 150.94/151.26 (define @t325 () (forall @t316 @t324)) % 150.94/151.26 (define @t326 () (@list @t254)) % 150.94/151.26 (define @t327 () (forall @t326 @t324)) % 150.94/151.26 (define @t328 () (forall @t326 @t323)) % 150.94/151.26 (define @t329 () (or @t89 @t171 @t328)) % 150.94/151.26 (define @t330 () (or @t89 @t171 @t114)) % 150.94/151.26 (define @t331 () (forall @t35 @t330)) % 150.94/151.26 (define @t332 () (lambda @t92 @t331)) % 150.94/151.26 (define @t333 () (forall @t35 (or (not (_ @t72 @t262 @t30)) @t253))) % 150.94/151.26 (define @t334 () (@quantifiers_skolemize @t333 0)) % 150.94/151.26 (define @t335 () (@quantifiers_skolemize @t260 0)) % 150.94/151.26 (define @t336 () (or @t84 @t110)) % 150.94/151.26 (define @t337 () (forall @t259 @t336)) % 150.94/151.26 (define @t338 () (forall @t35 @t336)) % 150.94/151.26 (define @t339 () (_ @t113 @t40)) % 150.94/151.26 (define @t340 () (forall @t49 @t339)) % 150.94/151.26 (define @t341 () (_ @t72 @t71 @t261)) % 150.94/151.26 (define @t342 () (_ @t72 (_ @t75 @t74 @t335) @t261)) % 150.94/151.26 (define @t343 () (not @t342)) % 150.94/151.26 (define @t344 () (or @t343 @t341)) % 150.94/151.26 (define @t345 () (@list true)) % 150.94/151.26 (define @t346 () (@list @t344)) % 150.94/151.26 (define @t347 () (not @t333)) % 150.94/151.26 (define @t348 () (or @t347 @t341)) % 150.94/151.26 (define @t349 () (@list true false)) % 150.94/151.26 (define @t350 () (_ @t72 @t71 @t334)) % 150.94/151.26 (define @t351 () (_ @t72 @t262 @t334)) % 150.94/151.26 (define @t352 () (not @t351)) % 150.94/151.26 (define @t353 () (or @t352 @t350)) % 150.94/151.26 (define @t354 () (@list @t353)) % 150.94/151.26 (define @t355 () (not @t264)) % 150.94/151.26 (define @t356 () (or @t343 @t355 @t352 @t350)) % 150.94/151.26 (define @t357 () (_ @t72 @t71 @t265)) % 150.94/151.26 (define @t358 () (_ @t72 (_ @t75 @t74 @t269) @t265)) % 150.94/151.26 (define @t359 () (not @t358)) % 150.94/151.26 (define @t360 () (_ @t72 @t163 @t269)) % 150.94/151.26 (define @t361 () (_ @t72 @t262 @t269)) % 150.94/151.26 (define @t362 () (not @t361)) % 150.94/151.26 (define @t363 () (or @t362 @t360 @t359 @t357)) % 150.94/151.26 (define @t364 () (@list @t363)) % 150.94/151.26 (define @t365 () (not @t267)) % 150.94/151.26 (define @t366 () (or @t365 @t357)) % 150.94/151.26 (define @t367 () (_ @t72 @t71 @t268)) % 150.94/151.26 (define @t368 () (_ @t72 @t266 @t268)) % 150.94/151.26 (define @t369 () (not @t368)) % 150.94/151.26 (define @t370 () (or @t369 @t367)) % 150.94/151.26 (define @t371 () (@list @t370)) % 150.94/151.26 (define @t372 () (forall @t162 (or (not (_ @t72 @t266 @t159)) @t161 @t160 @t73))) % 150.94/151.26 (define @t373 () (not @t372)) % 150.94/151.26 (define @t374 () (or @t362 @t360 @t359 @t373 @t369 @t367)) % 150.94/151.26 (define @t375 () (@quantifiers_skolemize @t372 1)) % 150.94/151.26 (define @t376 () (@quantifiers_skolemize @t372 0)) % 150.94/151.26 (define @t377 () (or (not (_ @t72 @t266 @t376)) (_ @t72 @t77 @t376) (not (_ @t72 (_ @t75 @t74 @t376) @t375)) (_ @t72 @t71 @t375))) % 150.94/151.26 (assume @p1 (= tptp.icl_true tptp.mtrue)) % 150.94/151.26 (assume @p2 (= tptp.icl_false tptp.mfalse)) % 150.94/151.26 (assume @p3 @t4) % 150.94/151.26 (assume @p4 (forall (@list @t5) (_ tptp.mvalid (_ (_ tptp.mimpl @t6) (_ @t2 @t6))))) % 150.94/151.26 (assume @p5 (_ tptp.iclval (_ (_ tptp.icl_impl (_ @t8 @t7)) @t7))) % 150.94/151.26 (assume @p6 (_ tptp.iclval (_ @t8 (_ (_ tptp.icl_impl @t9) @t7)))) % 150.94/151.26 (assume @p7 (_ tptp.iclval @t9)) % 150.94/151.26 (assume @p8 @t10) % 150.94/151.26 (assume @p9 true) % 150.94/151.26 (step @p10 (= tptp.mfalse @t13) :rule refl :args (@t13)) % 150.94/151.26 (step @p11 (= tptp.mtrue @t14) :rule refl :args (@t14)) % 150.94/151.26 (step @p12 (= tptp.mnot @t18) :rule refl :args (@t18)) % 150.94/151.26 (step @p13 (= tptp.mor @t22) :rule refl :args (@t22)) % 150.94/151.26 (step @p14 (= tptp.mand @t23) :rule refl :args (@t23)) % 150.94/151.26 (step @p15 (= tptp.mimpl @t28) :rule refl :args (@t28)) % 150.94/151.26 (step @p16 (= tptp.miff @t29) :rule refl :args (@t29)) % 150.94/151.26 (step @p17 (= tptp.mbox @t38) :rule refl :args (@t38)) % 150.94/151.26 (step @p18 (= tptp.mdia @t39) :rule refl :args (@t39)) % 150.94/151.26 (step @p19 (= tptp.mall @t46) :rule refl :args (@t46)) % 150.94/151.26 (step @p20 (= tptp.mexists @t47) :rule refl :args (@t47)) % 150.94/151.26 (step @p21 (= tptp.mvalid @t52) :rule refl :args (@t52)) % 150.94/151.26 (step @p22 (= tptp.msatisfiable @t53) :rule refl :args (@t53)) % 150.94/151.26 (step @p23 (= tptp.mcountersatisfiable @t55) :rule refl :args (@t55)) % 150.94/151.26 (step @p24 (= tptp.minvalid @t56) :rule refl :args (@t56)) % 150.94/151.26 (step @p25 (= tptp.icl_atom @t58) :rule refl :args (@t58)) % 150.94/151.26 (step @p26 (= tptp.icl_princ @t59) :rule refl :args (@t59)) % 150.94/151.26 (step @p27 (= tptp.icl_and @t61) :rule refl :args (@t61)) % 150.94/151.26 (step @p28 (= tptp.icl_or @t63) :rule refl :args (@t63)) % 150.94/151.26 (step @p29 (= tptp.icl_impl @t64) :rule refl :args (@t64)) % 150.94/151.26 (step @p30 (= tptp.icl_says @t67) :rule refl :args (@t67)) % 150.94/151.26 (step @p31 (= tptp.iclval @t69) :rule refl :args (@t69)) % 150.94/151.26 ; WARNING: add trust step for TRUST % 150.94/151.26 ; trust TRUST PREPROCESS_HO_ELIM % 150.94/151.26 (step @p32 :rule trust :premises () :args ((= @t86 @t80))) % 150.94/151.26 (step @p33 :rule quant-merge-prenex :args ((= (forall @t49 @t88) @t86))) % 150.94/151.26 (step @p34 :rule beta-reduce :args ((= @t94 @t88))) % 150.94/151.26 (step @p35 :rule cong :premises (@p34) :args (@t95)) % 150.94/151.26 (step @p36 :rule trans :premises (@p35 @p33)) % 150.94/151.26 (step @p37 :rule beta-reduce :args ((= (_ @t97 @t93) @t95))) % 150.94/151.26 (step @p38 :rule trans :premises (@p37 @p36)) % 150.94/151.26 (step @p39 :rule aci_norm :args ((= @t99 @t90))) % 150.94/151.26 (step @p40 :rule cong :premises (@p39) :args (@t100)) % 150.94/151.26 (step @p41 :rule quant-merge-prenex :args ((= (forall @t35 @t102) @t100))) % 150.94/151.26 (step @p42 :rule alpha_equiv :args (@t103 (@list @t70) @t105)) % 150.94/151.26 (step @p43 :rule refl :args (@t83)) % 150.94/151.26 (step @p44 :rule refl :args (@t89)) % 150.94/151.26 (step @p45 :rule nary_cong :premises (@p44 @p43 @p42) :args (@t106)) % 150.94/151.26 (step @p46 :rule quant-miniscope-or :args ((= @t102 @t106))) % 150.94/151.26 (step @p47 :rule trans :premises (@p46 @p45)) % 150.94/151.26 (step @p48 :rule symm :premises (@p47)) % 150.94/151.26 (step @p49 :rule cong :premises (@p48) :args ((forall @t35 (or @t89 @t83 @t109)))) % 150.94/151.26 (step @p50 :rule trans :premises (@p49 @p41)) % 150.94/151.26 (step @p51 :rule trans :premises (@p50 @p40)) % 150.94/151.26 (step @p52 :rule beta-reduce :args ((= (_ (lambda @t92 (forall @t108 (or (not (tptp.rel @t24 @t104)) @t107))) @t30) @t109))) % 150.94/151.26 (step @p53 :rule refl :args (@t30)) % 150.94/151.26 (step @p54 :rule alpha_equiv :args (@t111 @t112 @t105)) % 150.94/151.26 (step @p55 :rule cong :premises (@p54) :args (@t113)) % 150.94/151.26 (step @p56 :rule ho_cong :premises (@p55 @p53)) % 150.94/151.26 (step @p57 :rule trans :premises (@p56 @p52)) % 150.94/151.26 (step @p58 :rule refl :args (@t83)) % 150.94/151.26 (step @p59 :rule refl :args (@t89)) % 150.94/151.26 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args (@t115)) % 150.94/151.26 (step @p61 :rule cong :premises (@p60) :args (@t116)) % 150.94/151.26 (step @p62 :rule trans :premises (@p61 @p51)) % 150.94/151.26 (step @p63 :rule cong :premises 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150.94/151.26 (step @p93 :rule beta-reduce :args ((= (_ @t135 @t24) @t121))) % 150.94/151.26 (step @p94 :rule refl :args (@t24)) % 150.94/151.26 (step @p95 :rule beta-reduce :args ((= (_ @t136 @t31) @t135))) % 150.94/151.26 (step @p96 :rule refl :args (@t31)) % 150.94/151.26 (step @p97 :rule beta-reduce :args ((= @t138 @t136))) % 150.94/151.26 (step @p98 :rule ho_cong :premises (@p97 @p96)) % 150.94/151.26 (step @p99 :rule trans :premises (@p98 @p95)) % 150.94/151.26 (step @p100 :rule ho_cong :premises (@p99 @p94)) % 150.94/151.26 (step @p101 :rule trans :premises (@p100 @p93)) % 150.94/151.26 (step @p102 :rule refl :args (tptp.rel)) % 150.94/151.26 (step @p103 :rule refl :args (@t120)) % 150.94/151.26 (step @p104 :rule refl :args (@t32)) % 150.94/151.26 (step @p105 :rule cong :premises (@p104 @p103) :args ((= @t32 @t120))) % 150.94/151.26 (step @p106 :rule symm :premises (@p105)) % 150.94/151.26 (step @p107 :rule eq_resolve :premises (@p104 @p106)) % 150.94/151.26 (step @p108 :rule refl :args (@t137)) % 150.94/151.26 (step @p109 :rule refl :args (@t34)) % 150.94/151.26 (step @p110 :rule cong :premises (@p109 @p108) :args ((= @t34 @t137))) % 150.94/151.26 (step @p111 :rule symm :premises (@p110)) % 150.94/151.26 (step @p112 :rule eq_resolve :premises (@p109 @p111)) % 150.94/151.26 (step @p113 :rule cong :premises (@p112) :args (@t139)) % 150.94/151.26 (step @p114 :rule nary_cong :premises (@p113 @p107) :args (@t140)) % 150.94/151.26 (step @p115 :rule cong :premises (@p114) :args ((forall @t35 @t140))) % 150.94/151.26 (step @p116 :rule bool-impl-elim :args (@t34 @t32)) % 150.94/151.26 (step @p117 :rule cong :premises (@p116) :args (@t36)) % 150.94/151.26 (step @p118 :rule trans :premises (@p117 @p115)) % 150.94/151.26 (step @p119 :rule cong :premises (@p118) :args (@t38)) % 150.94/151.26 (step @p120 :rule trans :premises (@p17 @p119)) % 150.94/151.26 (step @p121 :rule ho_cong :premises (@p120 @p102)) % 150.94/151.26 (step @p122 :rule ho_cong :premises (@p121 @p96)) % 150.94/151.26 (step @p123 :rule ho_cong :premises (@p122 @p94)) % 150.94/151.26 (step @p124 :rule trans :premises (@p123 @p101)) % 150.94/151.26 (step @p125 :rule cong :premises (@p124) :args (@t58)) % 150.94/151.26 (step @p126 :rule trans :premises (@p25 @p125)) % 150.94/151.26 (step @p127 :rule ho_cong :premises (@p126 @p92)) % 150.94/151.26 (step @p128 :rule refl :args (tptp.bob)) % 150.94/151.26 (step @p129 :rule ho_cong :premises (@p26 @p128)) % 150.94/151.26 (step @p130 :rule beta-reduce :args ((= (_ (lambda @t12 (forall @t35 (or @t133 @t130 @t118))) @t24) @t131))) % 150.94/151.26 (step @p131 :rule refl :args (@t118)) % 150.94/151.26 (step @p132 :rule refl :args (@t141)) % 150.94/151.26 (step @p133 :rule cong :premises (@p132 @p131) :args ((= @t141 @t118))) % 150.94/151.26 (step @p134 :rule symm :premises (@p133)) % 150.94/151.26 (step @p135 :rule eq_resolve :premises (@p132 @p134)) % 150.94/151.26 (step @p136 :rule refl :args (@t130)) % 150.94/151.26 (step @p137 :rule refl 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(@p150) :args (@t151)) % 150.94/151.27 (step @p152 :rule beta-reduce :args ((= (_ @t136 @t147) @t151))) % 150.94/151.27 (step @p153 :rule trans :premises (@p152 @p151)) % 150.94/151.27 (step @p154 :rule beta-reduce :args ((= (_ @t153 @t65) @t147))) % 150.94/151.27 (step @p155 :rule refl :args (@t65)) % 150.94/151.27 (step @p156 :rule beta-reduce :args ((= (_ @t22 @t1) @t153))) % 150.94/151.27 (step @p157 :rule ho_cong :premises (@p156 @p155)) % 150.94/151.27 (step @p158 :rule trans :premises (@p157 @p154)) % 150.94/151.27 (step @p159 :rule ho_cong :premises (@p97 @p158)) % 150.94/151.27 (step @p160 :rule trans :premises (@p159 @p153)) % 150.94/151.27 (step @p161 :rule ho_cong :premises (@p160 @p94)) % 150.94/151.27 (step @p162 :rule trans :premises (@p161 @p130)) % 150.94/151.27 (step @p163 :rule refl :args (@t1)) % 150.94/151.27 (step @p164 :rule ho_cong :premises (@p13 @p163)) % 150.94/151.27 (step @p165 :rule ho_cong :premises (@p164 @p155)) % 150.94/151.27 (step @p166 :rule ho_cong :premises (@p121 @p165)) % 150.94/151.27 (step @p167 :rule ho_cong :premises (@p166 @p94)) % 150.94/151.27 (step @p168 :rule trans :premises (@p167 @p162)) % 150.94/151.27 (step @p169 :rule cong :premises (@p168) :args (@t67)) % 150.94/151.27 (step @p170 :rule trans :premises (@p30 @p169)) % 150.94/151.27 (step @p171 :rule ho_cong :premises (@p170 @p129)) % 150.94/151.27 (step @p172 :rule ho_cong :premises (@p171 @p127)) % 150.94/151.27 (step @p173 :rule beta-reduce :args ((= (_ @t155 @t16) @t96))) % 150.94/151.27 (step @p174 :rule refl :args (@t16)) % 150.94/151.27 (step @p175 :rule refl :args (@t154)) % 150.94/151.27 (step @p176 :rule refl :args (@t48)) % 150.94/151.27 (step @p177 :rule cong :premises (@p176 @p175) :args ((= @t48 @t154))) % 150.94/151.27 (step @p178 :rule symm :premises (@p177)) % 150.94/151.27 (step @p179 :rule eq_resolve :premises (@p176 @p178)) % 150.94/151.27 (step @p180 :rule cong :premises (@p179) :args (@t50)) % 150.94/151.27 (step @p181 :rule cong :premises (@p180) :args (@t52)) % 150.94/151.27 (step @p182 :rule trans :premises (@p21 @p181)) % 150.94/151.27 (step @p183 :rule ho_cong :premises (@p182 @p174)) % 150.94/151.27 (step @p184 :rule trans :premises (@p183 @p173)) % 150.94/151.27 (step @p185 :rule cong :premises (@p184) :args (@t69)) % 150.94/151.27 (step @p186 :rule trans :premises (@p31 @p185)) % 150.94/151.27 (step @p187 :rule ho_cong :premises (@p186 @p172)) % 150.94/151.27 (step @p188 :rule trans :premises (@p187 @p91)) % 150.94/151.27 (step @p189 :rule trans :premises (@p188 @p32)) % 150.94/151.27 (step @p190 :rule eq_resolve :premises (@p7 @p189)) % 150.94/151.27 ; trust TRUST PREPROCESS_HO_ELIM % 150.94/151.27 (step @p191 :rule trust :premises () :args ((= @t173 (forall @t164 (or @t78 (_ @t72 @t163 @t30) (not (_ @t72 @t76 @t157)) (not (forall @t162 (or (not (_ @t72 @t158 @t159)) @t161 @t160 @t73))) (not (_ @t72 @t158 @t156)) (_ @t72 @t71 @t156)))))) % 150.94/151.27 (step @p192 :rule quant-merge-prenex :args ((= (forall @t49 @t175) @t173))) % 150.94/151.27 (step @p193 :rule beta-reduce :args ((= @t178 @t175))) % 150.94/151.27 (step @p194 :rule cong :premises (@p193) :args (@t179)) % 150.94/151.27 (step @p195 :rule trans :premises (@p194 @p192)) % 150.94/151.27 (step @p196 :rule beta-reduce :args ((= (_ @t97 @t177) @t179))) % 150.94/151.27 (step @p197 :rule trans :premises (@p196 @p195)) % 150.94/151.27 (step @p198 :rule aci_norm :args ((= @t181 @t176))) % 150.94/151.27 (step @p199 :rule cong :premises (@p198) :args (@t182)) % 150.94/151.27 (step @p200 :rule quant-merge-prenex :args ((= (forall @t35 @t184) @t182))) % 150.94/151.27 (step @p201 :rule alpha_equiv :args (@t185 (@list @t157 @t156) (@list @t187 @t186))) % 150.94/151.27 (step @p202 :rule refl :args (@t171)) % 150.94/151.27 (step @p203 :rule nary_cong :premises (@p44 @p202 @p201) :args (@t188)) % 150.94/151.27 (step @p204 :rule quant-miniscope-or :args ((= @t184 @t188))) % 150.94/151.27 (step @p205 :rule trans :premises (@p204 @p203)) % 150.94/151.27 (step @p206 :rule symm :premises (@p205)) % 150.94/151.27 (step @p207 :rule cong :premises (@p206) :args ((forall @t35 (or @t89 @t171 @t193)))) % 150.94/151.27 (step @p208 :rule trans :premises (@p207 @p200)) % 150.94/151.27 (step @p209 :rule trans :premises (@p208 @p199)) % 150.94/151.27 (step @p210 :rule beta-reduce :args ((= (_ (lambda @t92 (forall @t192 (or (not (tptp.rel @t24 @t187)) @t191 @t190 @t189))) @t30) @t193))) % 150.94/151.27 (step @p211 :rule alpha_equiv :args (@t199 @t112 (@list @t187))) % 150.94/151.27 (step @p212 :rule cong :premises (@p211) :args (@t200)) % 150.94/151.27 (step @p213 :rule ho_cong :premises (@p212 @p53)) % 150.94/151.27 (step @p214 :rule trans :premises (@p213 @p210)) % 150.94/151.27 (step @p215 :rule refl :args (@t171)) % 150.94/151.27 (step @p216 :rule nary_cong :premises (@p59 @p215 @p214) :args (@t201)) % 150.94/151.27 (step @p217 :rule cong :premises (@p216) :args (@t202)) % 150.94/151.27 (step @p218 :rule trans :premises (@p217 @p209)) % 150.94/151.27 (step @p219 :rule cong :premises (@p218) :args (@t203)) % 150.94/151.27 (step @p220 :rule beta-reduce :args ((= (_ @t204 @t200) @t203))) % 150.94/151.27 (step @p221 :rule trans :premises (@p220 @p219)) % 150.94/151.27 (step @p222 :rule aci_norm :args ((= @t206 @t197))) % 150.94/151.27 (step @p223 :rule cong :premises (@p222) :args (@t207)) % 150.94/151.27 (step @p224 :rule quant-merge-prenex :args ((= (forall @t35 @t209) @t207))) % 150.94/151.27 (step @p225 :rule alpha_equiv :args (@t210 (@list @t186) @t105)) % 150.94/151.27 (step @p226 :rule refl :args (@t196)) % 150.94/151.27 (step @p227 :rule nary_cong :premises (@p44 @p226 @p225) :args (@t211)) % 150.94/151.27 (step @p228 :rule quant-miniscope-or :args ((= @t209 @t211))) % 150.94/151.27 (step @p229 :rule trans :premises (@p228 @p227)) % 150.94/151.27 (step @p230 :rule symm :premises (@p229)) % 150.94/151.27 (step @p231 :rule cong :premises (@p230) :args ((forall @t35 (or @t89 @t196 @t109)))) % 150.94/151.27 (step @p232 :rule trans :premises (@p231 @p224)) % 150.94/151.27 (step @p233 :rule trans :premises (@p232 @p223)) % 150.94/151.27 (step @p234 :rule refl :args (@t196)) % 150.94/151.27 (step @p235 :rule nary_cong :premises (@p59 @p234 @p57) :args (@t212)) % 150.94/151.27 (step @p236 :rule cong :premises (@p235) :args (@t213)) % 150.94/151.27 (step @p237 :rule trans :premises (@p236 @p233)) % 150.94/151.27 (step @p238 :rule cong :premises (@p237) :args (@t214)) % 150.94/151.27 (step @p239 :rule beta-reduce :args ((= (_ (lambda @t216 (forall @t35 (or @t89 @t196 @t215))) @t113) @t214))) % 150.94/151.27 (step @p240 :rule trans :premises (@p239 @p238)) % 150.94/151.27 (step @p241 :rule refl :args (@t215)) % 150.94/151.27 (step @p242 :rule beta-reduce :args ((= (_ (lambda @t92 (forall @t162 (or (not (tptp.rel @t24 @t159)) @t168 @t167 @t81))) @t30) @t195))) % 150.94/151.27 (step @p243 :rule alpha_equiv :args (@t91 @t112 (@list @t159))) % 150.94/151.27 (step @p244 :rule cong :premises (@p243) :args (@t93)) % 150.94/151.27 (step @p245 :rule ho_cong :premises (@p244 @p53)) % 150.94/151.27 (step @p246 :rule trans :premises (@p245 @p242)) % 150.94/151.27 (step @p247 :rule cong :premises (@p246) :args (@t217)) % 150.94/151.27 (step @p248 :rule nary_cong :premises (@p59 @p247 @p241) :args (@t218)) % 150.94/151.27 (step @p249 :rule cong :premises (@p248) :args (@t219)) % 150.94/151.27 (step @p250 :rule cong :premises (@p249) :args (@t220)) % 150.94/151.27 (step @p251 :rule beta-reduce :args ((= (_ @t223 @t93) @t220))) % 150.94/151.27 (step @p252 :rule trans :premises (@p251 @p250)) % 150.94/151.27 (step @p253 :rule refl :args (@t223)) % 150.94/151.27 (step @p254 :rule ho_cong :premises (@p253 @p88)) % 150.94/151.27 (step @p255 :rule trans :premises (@p254 @p252)) % 150.94/151.27 (step @p256 :rule ho_cong :premises (@p255 @p66)) % 150.94/151.27 (step @p257 :rule trans :premises (@p256 @p240)) % 150.94/151.27 (step @p258 :rule refl :args (@t171)) % 150.94/151.27 (step @p259 :rule refl :args (@t224)) % 150.94/151.27 (step @p260 :rule cong :premises (@p259 @p258) :args ((= @t224 @t171))) % 150.94/151.27 (step @p261 :rule symm :premises (@p260)) % 150.94/151.27 (step @p262 :rule eq_resolve :premises (@p259 @p261)) % 150.94/151.27 (step @p263 :rule nary_cong :premises (@p44 @p262 @p67) :args (@t225)) % 150.94/151.27 (step @p264 :rule cong :premises (@p263) :args ((forall @t35 @t225))) % 150.94/151.27 (step @p265 :rule beta-reduce :args ((= @t227 @t224))) % 150.94/151.27 (step @p266 :rule nary_cong :premises (@p59 @p265 @p75) :args (@t228)) % 150.94/151.27 (step @p267 :rule cong :premises (@p266) :args (@t229)) % 150.94/151.27 (step @p268 :rule trans :premises (@p267 @p264)) % 150.94/151.27 (step @p269 :rule cong :premises (@p268) :args (@t230)) % 150.94/151.27 (step @p270 :rule beta-reduce :args ((= (_ @t132 @t226) @t230))) % 150.94/151.27 (step @p271 :rule trans :premises (@p270 @p269)) % 150.94/151.27 (step @p272 :rule beta-reduce :args ((= (_ @t59 tptp.admin) @t226))) % 150.94/151.27 (step @p273 :rule ho_cong :premises (@p84 @p272)) % 150.94/151.27 (step @p274 :rule trans :premises (@p273 @p271)) % 150.94/151.27 (step @p275 :rule ho_cong :premises (@p274 @p257)) % 150.94/151.27 (step @p276 :rule trans :premises (@p275 @p221)) % 150.94/151.27 (step @p277 :rule ho_cong :premises (@p89 @p276)) % 150.94/151.27 (step @p278 :rule trans :premises (@p277 @p197)) % 150.94/151.27 (step @p279 :rule beta-reduce :args ((= (_ (lambda @t12 (forall @t35 (or @t133 @t221 @t215))) @t24) @t222))) % 150.94/151.27 (step @p280 :rule refl :args (@t215)) % 150.94/151.27 (step @p281 :rule refl :args (@t231)) % 150.94/151.27 (step @p282 :rule cong :premises (@p281 @p280) :args ((= @t231 @t215))) % 150.94/151.27 (step @p283 :rule symm :premises (@p282)) % 150.94/151.27 (step @p284 :rule eq_resolve :premises (@p281 @p283)) % 150.94/151.27 (step @p285 :rule cong :premises (@p140) :args (@t232)) % 150.94/151.27 (step @p286 :rule nary_cong :premises (@p141 @p285 @p284) :args (@t233)) % 150.94/151.27 (step @p287 :rule cong :premises (@p286) :args ((forall @t35 @t233))) % 150.94/151.27 (step @p288 :rule aci_norm :args ((= (or @t133 @t234) @t233))) % 150.94/151.27 (step @p289 :rule beta-reduce :args ((= @t238 @t234))) % 150.94/151.27 (step @p290 :rule nary_cong :premises (@p146 @p289) :args (@t239)) % 150.94/151.27 (step @p291 :rule trans :premises (@p290 @p288)) % 150.94/151.27 (step @p292 :rule cong :premises (@p291) :args (@t240)) % 150.94/151.27 (step @p293 :rule trans :premises (@p292 @p287)) % 150.94/151.27 (step @p294 :rule cong :premises (@p293) :args (@t241)) % 150.94/151.27 (step @p295 :rule beta-reduce :args ((= (_ @t136 @t237) @t241))) % 150.94/151.27 (step @p296 :rule trans :premises (@p295 @p294)) % 150.94/151.27 (step @p297 :rule beta-reduce :args ((= (_ @t244 @t5) @t237))) % 150.94/151.27 (step @p298 :rule refl :args (@t5)) % 150.94/151.27 (step @p299 :rule beta-reduce :args ((= (_ @t246 @t1) @t244))) % 150.94/151.27 (step @p300 :rule ho_cong :premises (@p299 @p298)) % 150.94/151.27 (step @p301 :rule trans :premises (@p300 @p297)) % 150.94/151.27 (step @p302 :rule ho_cong :premises (@p97 @p301)) % 150.94/151.27 (step @p303 :rule trans :premises (@p302 @p296)) % 150.94/151.27 (step @p304 :rule ho_cong :premises (@p303 @p94)) % 150.94/151.27 (step @p305 :rule trans :premises (@p304 @p279)) % 150.94/151.27 (step @p306 :rule beta-reduce :args ((= (_ @t248 @t24) @t245))) % 150.94/151.27 (step @p307 :rule beta-reduce :args ((= (_ (lambda @t152 (or @t247 @t20)) @t25) @t248))) % 150.94/151.27 (step @p308 :rule refl :args (@t25)) % 150.94/151.27 (step @p309 :rule refl :args (@t20)) % 150.94/151.27 (step @p310 :rule beta-reduce :args ((= @t250 @t247))) % 150.94/151.27 (step @p311 :rule nary_cong :premises (@p310 @p309) :args (@t251)) % 150.94/151.27 (step @p312 :rule cong :premises (@p311) :args (@t252)) % 150.94/151.27 (step @p313 :rule beta-reduce :args ((= (_ @t22 @t249) @t252))) % 150.94/151.27 (step @p314 :rule trans :premises (@p313 @p312)) % 150.94/151.27 (step @p315 :rule beta-reduce :args ((= (_ @t18 @t26) @t249))) % 150.94/151.27 (step @p316 :rule refl :args (@t22)) % 150.94/151.27 (step @p317 :rule ho_cong :premises (@p316 @p315)) % 150.94/151.27 (step @p318 :rule trans :premises (@p317 @p314)) % 150.94/151.27 (step @p319 :rule ho_cong :premises (@p318 @p308)) % 150.94/151.27 (step @p320 :rule trans :premises (@p319 @p307)) % 150.94/151.27 (step @p321 :rule ho_cong :premises (@p320 @p94)) % 150.94/151.27 (step @p322 :rule trans :premises (@p321 @p306)) % 150.94/151.27 (step @p323 :rule refl :args (@t26)) % 150.94/151.27 (step @p324 :rule ho_cong :premises (@p12 @p323)) % 150.94/151.27 (step @p325 :rule ho_cong :premises (@p13 @p324)) % 150.94/151.27 (step @p326 :rule ho_cong :premises (@p325 @p308)) % 150.94/151.27 (step @p327 :rule ho_cong :premises (@p326 @p94)) % 150.94/151.27 (step @p328 :rule trans :premises (@p327 @p322)) % 150.94/151.27 (step @p329 :rule cong :premises (@p328) :args (@t28)) % 150.94/151.27 (step @p330 :rule trans :premises (@p15 @p329)) % 150.94/151.27 (step @p331 :rule ho_cong :premises (@p330 @p163)) % 150.94/151.27 (step @p332 :rule ho_cong :premises (@p331 @p298)) % 150.94/151.27 (step @p333 :rule ho_cong :premises (@p121 @p332)) % 150.94/151.27 (step @p334 :rule ho_cong :premises (@p333 @p94)) % 150.94/151.27 (step @p335 :rule trans :premises (@p334 @p305)) % 150.94/151.27 (step @p336 :rule cong :premises (@p335) :args (@t64)) % 150.94/151.27 (step @p337 :rule trans :premises (@p29 @p336)) % 150.94/151.27 (step @p338 :rule ho_cong :premises (@p337 @p172)) % 150.94/151.27 (step @p339 :rule ho_cong :premises (@p338 @p127)) % 150.94/151.27 (step @p340 :rule refl :args (tptp.admin)) % 150.94/151.27 (step @p341 :rule ho_cong :premises (@p26 @p340)) % 150.94/151.27 (step @p342 :rule ho_cong :premises (@p170 @p341)) % 150.94/151.27 (step @p343 :rule ho_cong :premises (@p342 @p339)) % 150.94/151.27 (step @p344 :rule ho_cong :premises (@p186 @p343)) % 150.94/151.27 (step @p345 :rule trans :premises (@p344 @p278)) % 150.94/151.27 (step @p346 :rule trans :premises (@p345 @p191)) % 150.94/151.27 (step @p347 :rule eq_resolve :premises (@p6 @p346)) % 150.94/151.27 (step @p348 :rule instantiate :premises (@p347) :args ((@list @t261 @t269 @t265 @t268))) % 150.94/151.27 ; trust TRUST PREPROCESS_HO_ELIM % 150.94/151.27 (step @p349 :rule trust :premises () :args ((= @t274 (forall (@list @t270 @t40) (or (not (forall @t35 (or @t78 (_ @t72 @t270 @t30)))) (_ @t72 @t270 @t40)))))) % 150.94/151.27 (step @p350 :rule quant-merge-prenex :args ((= (forall @t3 (forall @t49 @t273)) @t274))) % 150.94/151.27 (step @p351 :rule refl :args (@t271)) % 150.94/151.27 (step @p352 :rule refl :args (@t275)) % 150.94/151.27 (step @p353 :rule cong :premises (@p352 @p351) :args ((= @t275 @t271))) % 150.94/151.27 (step @p354 :rule symm :premises (@p353)) % 150.94/151.27 (step @p355 :rule eq_resolve :premises (@p352 @p354)) % 150.94/151.27 (step @p356 :rule refl :args (@t272)) % 150.94/151.27 (step @p357 :rule nary_cong :premises (@p356 @p355) :args (@t276)) % 150.94/151.27 (step @p358 :rule cong :premises (@p357) :args ((forall @t49 @t276))) % 150.94/151.27 (step @p359 :rule beta-reduce :args ((= @t280 @t276))) % 150.94/151.27 (step @p360 :rule cong :premises (@p359) :args (@t281)) % 150.94/151.27 (step @p361 :rule trans :premises (@p360 @p358)) % 150.94/151.27 (step @p362 :rule beta-reduce :args ((= (_ @t155 @t279) @t281))) % 150.94/151.27 (step @p363 :rule trans :premises (@p362 @p361)) % 150.94/151.27 (step @p364 :rule beta-reduce :args ((= (_ (lambda @t243 (or @t278 @t242)) @t1) @t279))) % 150.94/151.27 (step @p365 :rule refl :args (@t242)) % 150.94/151.27 (step @p366 :rule beta-reduce :args ((= @t283 @t277))) % 150.94/151.27 (step @p367 :rule cong :premises (@p366) :args (@t284)) % 150.94/151.27 (step @p368 :rule nary_cong :premises (@p367 @p365) :args (@t285)) % 150.94/151.27 (step @p369 :rule cong :premises (@p368) :args (@t286)) % 150.94/151.27 (step @p370 :rule beta-reduce :args ((= (_ @t246 @t282) @t286))) % 150.94/151.27 (step @p371 :rule trans :premises (@p370 @p369)) % 150.94/151.27 (step @p372 :rule beta-reduce :args ((= (_ @t136 @t1) @t282))) % 150.94/151.27 (step @p373 :rule ho_cong :premises (@p97 @p163)) % 150.94/151.27 (step @p374 :rule trans :premises (@p373 @p372)) % 150.94/151.27 (step @p375 :rule refl :args (@t246)) % 150.94/151.27 (step @p376 :rule ho_cong :premises (@p375 @p374)) % 150.94/151.27 (step @p377 :rule trans :premises (@p376 @p371)) % 150.94/151.27 (step @p378 :rule ho_cong :premises (@p377 @p163)) % 150.94/151.27 (step @p379 :rule trans :premises (@p378 @p364)) % 150.94/151.27 (step @p380 :rule refl :args (@t155)) % 150.94/151.27 (step @p381 :rule ho_cong :premises (@p380 @p379)) % 150.94/151.27 (step @p382 :rule trans :premises (@p381 @p363)) % 150.94/151.27 (step @p383 :rule cong :premises (@p382) :args ((forall @t3 (_ @t155 (_ (_ @t246 (_ @t138 @t1)) @t1))))) % 150.94/151.27 (step @p384 :rule trans :premises (@p383 @p350)) % 150.94/151.27 (step @p385 :rule ho_cong :premises (@p121 @p163)) % 150.94/151.27 (step @p386 :rule ho_cong :premises (@p330 @p385)) % 150.94/151.27 (step @p387 :rule ho_cong :premises (@p386 @p163)) % 150.94/151.27 (step @p388 :rule ho_cong :premises (@p182 @p387)) % 150.94/151.27 (step @p389 :rule cong :premises (@p388) :args (@t4)) % 150.94/151.27 (step @p390 :rule trans :premises (@p389 @p384)) % 150.94/151.27 (step @p391 :rule trans :premises (@p390 @p349)) % 150.94/151.27 (step @p392 :rule eq_resolve :premises (@p3 @p391)) % 150.94/151.27 (step @p393 :rule instantiate :premises (@p392) :args ((@list @t71 @t265))) % 150.94/151.27 ; trust TRUST PREPROCESS_HO_ELIM % 150.94/151.27 (step @p394 :rule trust :premises () :args ((= @t297 (forall @t288 (or @t78 (not (forall @t263 (or (not (_ @t72 @t76 @t256)) @t258 @t257 @t255))) (not (_ @t72 @t76 @t287)) (_ @t72 @t71 @t287)))))) % 150.94/151.27 (step @p395 :rule quant-merge-prenex :args ((= (forall @t49 @t299) @t297))) % 150.94/151.27 (step @p396 :rule beta-reduce :args ((= @t302 @t299))) % 150.94/151.27 (step @p397 :rule cong :premises (@p396) :args (@t303)) % 150.94/151.27 (step @p398 :rule trans :premises (@p397 @p395)) % 150.94/151.27 (step @p399 :rule beta-reduce :args ((= (_ @t97 @t301) @t303))) % 150.94/151.27 (step @p400 :rule trans :premises (@p399 @p398)) % 150.94/151.27 (step @p401 :rule aci_norm :args ((= @t305 @t300))) % 150.94/151.27 (step @p402 :rule cong :premises (@p401) :args (@t306)) % 150.94/151.27 (step @p403 :rule quant-merge-prenex :args ((= (forall @t35 @t308) @t306))) % 150.94/151.27 (step @p404 :rule alpha_equiv :args (@t309 (@list @t287) @t105)) % 150.94/151.27 (step @p405 :rule refl :args (@t295)) % 150.94/151.27 (step @p406 :rule nary_cong :premises (@p44 @p405 @p404) :args (@t310)) % 150.94/151.27 (step @p407 :rule quant-miniscope-or :args ((= @t308 @t310))) % 150.94/151.27 (step @p408 :rule trans :premises (@p407 @p406)) % 150.94/151.27 (step @p409 :rule symm :premises (@p408)) % 150.94/151.27 (step @p410 :rule cong :premises (@p409) :args ((forall @t35 (or @t89 @t295 @t109)))) % 150.94/151.27 (step @p411 :rule trans :premises (@p410 @p403)) % 150.94/151.27 (step @p412 :rule trans :premises (@p411 @p402)) % 150.94/151.27 (step @p413 :rule refl :args (@t295)) % 150.94/151.27 (step @p414 :rule nary_cong :premises (@p59 @p413 @p57) :args (@t311)) % 150.94/151.27 (step @p415 :rule cong :premises (@p414) :args (@t312)) % 150.94/151.27 (step @p416 :rule trans :premises (@p415 @p412)) % 150.94/151.27 (step @p417 :rule cong :premises (@p416) :args (@t313)) % 150.94/151.27 (step @p418 :rule beta-reduce :args ((= (_ (lambda @t216 (forall @t35 (or @t89 @t295 @t215))) @t113) @t313))) % 150.94/151.27 (step @p419 :rule trans :premises (@p418 @p417)) % 150.94/151.27 (step @p420 :rule beta-reduce :args ((= (_ (lambda @t92 (forall @t263 (or (not (tptp.rel @t24 @t256)) @t293 @t292 @t291))) @t30) @t294))) % 150.94/151.27 (step @p421 :rule alpha_equiv :args (@t317 @t112 (@list @t256))) % 150.94/151.27 (step @p422 :rule cong :premises (@p421) :args (@t318)) % 150.94/151.27 (step @p423 :rule ho_cong :premises (@p422 @p53)) % 150.94/151.27 (step @p424 :rule trans :premises (@p423 @p420)) % 150.94/151.27 (step @p425 :rule cong :premises (@p424) :args (@t319)) % 150.94/151.27 (step @p426 :rule nary_cong :premises (@p59 @p425 @p241) :args (@t320)) % 150.94/151.27 (step @p427 :rule cong :premises (@p426) :args (@t321)) % 150.94/151.27 (step @p428 :rule cong :premises (@p427) :args (@t322)) % 150.94/151.27 (step @p429 :rule beta-reduce :args ((= (_ @t223 @t318) @t322))) % 150.94/151.27 (step @p430 :rule trans :premises (@p429 @p428)) % 150.94/151.27 (step @p431 :rule aci_norm :args ((= @t324 @t315))) % 150.94/151.27 (step @p432 :rule cong :premises (@p431) :args (@t325)) % 150.94/151.27 (step @p433 :rule quant-merge-prenex :args ((= (forall @t35 @t327) @t325))) % 150.94/151.27 (step @p434 :rule alpha_equiv :args (@t328 (@list @t254) @t105)) % 150.94/151.27 (step @p435 :rule nary_cong :premises (@p44 @p202 @p434) :args (@t329)) % 150.94/151.27 (step @p436 :rule quant-miniscope-or :args ((= @t327 @t329))) % 150.94/151.27 (step @p437 :rule trans :premises (@p436 @p435)) % 150.94/151.27 (step @p438 :rule symm :premises (@p437)) % 150.94/151.27 (step @p439 :rule cong :premises (@p438) :args ((forall @t35 (or @t89 @t171 @t109)))) % 150.94/151.27 (step @p440 :rule trans :premises (@p439 @p433)) % 150.94/151.27 (step @p441 :rule trans :premises (@p440 @p432)) % 150.94/151.27 (step @p442 :rule nary_cong :premises (@p59 @p215 @p57) :args (@t330)) % 150.94/151.27 (step @p443 :rule cong :premises (@p442) :args (@t331)) % 150.94/151.27 (step @p444 :rule trans :premises (@p443 @p441)) % 150.94/151.27 (step @p445 :rule cong :premises (@p444) :args (@t332)) % 150.94/151.27 (step @p446 :rule beta-reduce :args ((= (_ @t204 @t113) @t332))) % 150.94/151.27 (step @p447 :rule trans :premises (@p446 @p445)) % 150.94/151.27 (step @p448 :rule ho_cong :premises (@p274 @p66)) % 150.94/151.27 (step @p449 :rule trans :premises (@p448 @p447)) % 150.94/151.27 (step @p450 :rule ho_cong :premises (@p253 @p449)) % 150.94/151.27 (step @p451 :rule trans :premises (@p450 @p430)) % 150.94/151.27 (step @p452 :rule ho_cong :premises (@p451 @p66)) % 150.94/151.27 (step @p453 :rule trans :premises (@p452 @p419)) % 150.94/151.27 (step @p454 :rule ho_cong :premises (@p89 @p453)) % 150.94/151.27 (step @p455 :rule trans :premises (@p454 @p400)) % 150.94/151.27 (step @p456 :rule ho_cong :premises (@p342 @p127)) % 150.94/151.27 (step @p457 :rule ho_cong :premises (@p337 @p456)) % 150.94/151.27 (step @p458 :rule ho_cong :premises (@p457 @p127)) % 150.94/151.27 (step @p459 :rule ho_cong :premises (@p186 @p458)) % 150.94/151.27 (step @p460 :rule trans :premises (@p459 @p455)) % 150.94/151.27 (step @p461 :rule trans :premises (@p460 @p394)) % 150.94/151.27 (step @p462 :rule eq_resolve :premises (@p5 @p461)) % 150.94/151.27 (step @p463 :rule instantiate :premises (@p462) :args ((@list @t335 @t261 @t334))) % 150.94/151.27 (step @p464 :rule instantiate :premises (@p392) :args ((@list @t71 @t261))) % 150.94/151.27 ; trust TRUST PREPROCESS_HO_ELIM % 150.94/151.27 (step @p465 :rule trust :premises () :args ((= (not @t337) (not @t260)))) % 150.94/151.27 (step @p466 :rule quant-merge-prenex :args ((= (forall @t49 @t338) @t337))) % 150.94/151.27 (step @p467 :rule beta-reduce :args ((= @t339 @t338))) % 150.94/151.27 (step @p468 :rule cong :premises (@p467) :args (@t340)) % 150.94/151.27 (step @p469 :rule trans :premises (@p468 @p466)) % 150.94/151.27 (step @p470 :rule beta-reduce :args ((= (_ @t97 @t113) @t340))) % 150.94/151.27 (step @p471 :rule trans :premises (@p470 @p469)) % 150.94/151.27 (step @p472 :rule ho_cong :premises (@p89 @p66)) % 150.94/151.27 (step @p473 :rule trans :premises (@p472 @p471)) % 150.94/151.27 (step @p474 :rule cong :premises (@p473) :args ((not (_ @t97 @t122)))) % 150.94/151.27 (step @p475 :rule ho_cong :premises (@p186 @p127)) % 150.94/151.27 (step @p476 :rule cong :premises (@p475) :args (@t10)) % 150.94/151.27 (step @p477 :rule trans :premises (@p476 @p474)) % 150.94/151.27 (step @p478 :rule trans :premises (@p477 @p465)) % 150.94/151.27 (step @p479 :rule eq_resolve :premises (@p8 @p478)) % 150.94/151.27 (step @p480 :rule skolemize :premises (@p479)) % 150.94/151.27 (step @p481 :rule cnf_or_neg :args (@t344 1)) % 150.94/151.27 (step @p482 :rule chain_m_resolution :premises (@p481 @p480) :args ((not @t341) @t345 @t346)) % 150.94/151.27 (step @p483 :rule cnf_or_pos :args (@t348)) % 150.94/151.27 (step @p484 :rule reordering :premises (@p483) :args ((or @t341 @t347 (not @t348)))) % 150.94/151.27 (step @p485 :rule chain_m_resolution :premises (@p484 @p482 @p464) :args (@t347 @t349 (@list @t341 @t348))) % 150.94/151.27 (step @p486 :rule skolemize :premises (@p485)) % 150.94/151.27 (step @p487 :rule cnf_or_neg :args (@t353 1)) % 150.94/151.27 (step @p488 :rule chain_m_resolution :premises (@p487 @p486) :args ((not @t350) @t345 @t354)) % 150.94/151.27 (step @p489 :rule bool-double-not-elim :args (@t351)) % 150.94/151.27 (step @p490 :rule refl :args (@t353)) % 150.94/151.27 (step @p491 :rule nary_cong :premises (@p490 @p489) :args ((or @t353 (not @t352)))) % 150.94/151.27 (step @p492 :rule cnf_or_neg :args (@t353 0)) % 150.94/151.27 (step @p493 :rule eq_resolve :premises (@p492 @p491)) % 150.94/151.27 (step @p494 :rule reordering :premises (@p493) :args ((or @t351 @t353))) % 150.94/151.27 (step @p495 :rule chain_m_resolution :premises (@p494 @p486) :args (@t351 @t345 @t354)) % 150.94/151.27 (step @p496 :rule bool-double-not-elim :args (@t342)) % 150.94/151.27 (step @p497 :rule refl :args (@t344)) % 150.94/151.27 (step @p498 :rule nary_cong :premises (@p497 @p496) :args ((or @t344 (not @t343)))) % 150.94/151.27 (step @p499 :rule cnf_or_neg :args (@t344 0)) % 150.94/151.27 (step @p500 :rule eq_resolve :premises (@p499 @p498)) % 150.94/151.27 (step @p501 :rule reordering :premises (@p500) :args ((or @t342 @t344))) % 150.94/151.27 (step @p502 :rule chain_m_resolution :premises (@p501 @p480) :args (@t342 @t345 @t346)) % 150.94/151.27 (step @p503 :rule cnf_or_pos :args (@t356)) % 150.94/151.27 (step @p504 :rule reordering :premises (@p503) :args ((or @t343 @t352 @t350 @t355 (not @t356)))) % 150.94/151.27 (step @p505 :rule chain_m_resolution :premises (@p504 @p502 @p495 @p488 @p463) :args (@t355 (@list false false true false) (@list @t342 @t351 @t350 @t356))) % 150.94/151.27 (step @p506 :rule skolemize :premises (@p505)) % 150.94/151.27 (step @p507 :rule cnf_or_neg :args (@t363 3)) % 150.94/151.27 (step @p508 :rule chain_m_resolution :premises (@p507 @p506) :args ((not @t357) @t345 @t364)) % 150.94/151.27 (step @p509 :rule cnf_or_pos :args (@t366)) % 150.94/151.27 (step @p510 :rule reordering :premises (@p509) :args ((or @t357 @t365 (not @t366)))) % 150.94/151.27 (step @p511 :rule chain_m_resolution :premises (@p510 @p508 @p393) :args (@t365 @t349 (@list @t357 @t366))) % 150.94/151.27 (step @p512 :rule skolemize :premises (@p511)) % 150.94/151.27 (step @p513 :rule cnf_or_neg :args (@t370 1)) % 150.94/151.27 (step @p514 :rule chain_m_resolution :premises (@p513 @p512) :args ((not @t367) @t345 @t371)) % 150.94/151.27 (step @p515 :rule bool-double-not-elim :args (@t368)) % 150.94/151.27 (step @p516 :rule refl :args (@t370)) % 150.94/151.27 (step @p517 :rule nary_cong :premises (@p516 @p515) :args ((or @t370 (not @t369)))) % 150.94/151.27 (step @p518 :rule cnf_or_neg :args (@t370 0)) % 150.94/151.27 (step @p519 :rule eq_resolve :premises (@p518 @p517)) % 150.94/151.27 (step @p520 :rule reordering :premises (@p519) :args ((or @t368 @t370))) % 150.94/151.27 (step @p521 :rule chain_m_resolution :premises (@p520 @p512) :args (@t368 @t345 @t371)) % 150.94/151.27 (step @p522 :rule bool-double-not-elim :args (@t358)) % 150.94/151.27 (step @p523 :rule refl :args (@t363)) % 150.94/151.27 (step @p524 :rule nary_cong :premises (@p523 @p522) :args ((or @t363 (not @t359)))) % 150.94/151.27 (step @p525 :rule cnf_or_neg :args (@t363 2)) % 150.94/151.27 (step @p526 :rule eq_resolve :premises (@p525 @p524)) % 150.94/151.27 (step @p527 :rule reordering :premises (@p526) :args ((or @t358 @t363))) % 150.94/151.27 (step @p528 :rule chain_m_resolution :premises (@p527 @p506) :args (@t358 @t345 @t364)) % 150.94/151.27 (step @p529 :rule cnf_or_neg :args (@t363 1)) % 150.94/151.27 (step @p530 :rule chain_m_resolution :premises (@p529 @p506) :args ((not @t360) @t345 @t364)) % 150.94/151.27 (step @p531 :rule bool-double-not-elim :args (@t361)) % 150.94/151.27 (step @p532 :rule nary_cong :premises (@p523 @p531) :args ((or @t363 (not @t362)))) % 150.94/151.27 (step @p533 :rule cnf_or_neg :args (@t363 0)) % 150.94/151.27 (step @p534 :rule eq_resolve :premises (@p533 @p532)) % 150.94/151.27 (step @p535 :rule reordering :premises (@p534) :args ((or @t361 @t363))) % 150.94/151.27 (step @p536 :rule chain_m_resolution :premises (@p535 @p506) :args (@t361 @t345 @t364)) % 150.94/151.27 (step @p537 :rule cnf_or_pos :args (@t374)) % 150.94/151.27 (step @p538 :rule reordering :premises (@p537) :args ((or @t362 @t360 @t359 @t369 @t367 @t373 (not @t374)))) % 150.94/151.27 (step @p539 :rule chain_m_resolution :premises (@p538 @p536 @p530 @p528 @p521 @p514 @p348) :args (@t373 (@list false true false false true false) (@list @t361 @t360 @t358 @t368 @t367 @t374))) % 150.94/151.27 (step @p540 :rule skolemize :premises (@p539)) % 150.94/151.27 (assume-push @p547 @t80) % 150.94/151.27 (step @p542 :rule instantiate :premises (@p190) :args ((@list @t265 @t376 @t375))) % 150.94/151.27 (step-pop @p548 :rule scope :premises (@p542)) % 150.94/151.27 (step @p543 :rule process_scope :premises (@p548) :args (@t377)) % 150.94/151.27 (step @p545 :rule implies_elim :premises (@p543)) % 150.94/151.27 (step @p546 false :rule chain_m_resolution :premises (@p545 @p540 @p190) :args (false @t349 (@list @t377 @t80))) % 150.94/151.27 ) % 150.94/151.27 % SZS output end Proof % 150.94/151.27 % cvc5 exiting %------------------------------------------------------------------------------