%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV426^2 : TPTP v9.2.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 175.85s 176.25s % Output : Proof 175.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV426^2 : TPTP v9.2.1. Released v3.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n001.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 20:17:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 175.85/176.25 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 175.85/176.25 --- 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... % 175.85/176.25 --- 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... % 175.85/176.25 --- Run --ho-elim --full-saturate-quant at 18s... % 175.85/176.25 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 175.85/176.25 % SZS status Theorem % 175.85/176.25 % SZS output start Proof % 175.85/176.25 ( % 175.85/176.25 (declare-sort $$unsorted 0) % 175.85/176.25 (declare-sort tptp.individuals 0) % 175.85/176.25 (declare-const tptp.rel (-> $$unsorted $$unsorted Bool)) % 175.85/176.25 (declare-const tptp.s (-> $$unsorted Bool)) % 175.85/176.25 (declare-const tptp.a (-> $$unsorted Bool)) % 175.85/176.25 (declare-const tptp.t (-> $$unsorted Bool)) % 175.85/176.25 (declare-const tptp.icl_true (-> $$unsorted Bool)) % 175.85/176.25 (declare-const tptp.icl_false (-> $$unsorted Bool)) % 175.85/176.25 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 175.85/176.25 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 175.85/176.25 (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)))))) % 175.85/176.25 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 175.85/176.25 (define tptp.mand () (let ((_let_1 (@var "U" $$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))))))) % 175.85/176.25 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 175.85/176.25 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 175.85/176.25 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 175.85/176.25 (define tptp.mdia () (let ((_let_1 (@var "Y" $$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))))))))) % 175.85/176.25 (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))))))) % 175.85/176.25 (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))))))) % 175.85/176.25 (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)))))) % 175.85/176.25 (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)))))) % 175.85/176.25 (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))))))) % 175.85/176.25 (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))))))) % 175.85/176.25 (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))))) % 175.85/176.25 (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))))) % 175.85/176.25 (define tptp.icl_and () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 175.85/176.25 (define tptp.icl_or () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 175.85/176.25 (define tptp.icl_impl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.rel) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 175.85/176.25 (define tptp.icl_says () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 175.85/176.25 (define tptp.iclval () (let ((_let_1 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_1) (_ tptp.mvalid _let_1)))) % 175.85/176.25 (define @t1 () (@var "A" (-> $$unsorted Bool))) % 175.85/176.25 (define @t2 () (_ tptp.mbox tptp.rel)) % 175.85/176.25 (define @t3 () (@list @t1)) % 175.85/176.25 (define @t4 () (forall @t3 (_ tptp.mvalid (_ (_ tptp.mimpl (_ @t2 @t1)) @t1)))) % 175.85/176.25 (define @t5 () (@var "B" (-> $$unsorted Bool))) % 175.85/176.25 (define @t6 () (_ @t2 @t5)) % 175.85/176.25 (define @t7 () (@list @t5)) % 175.85/176.25 (define @t8 () (forall @t7 (_ tptp.mvalid (_ (_ tptp.mimpl @t6) (_ @t2 @t6))))) % 175.85/176.25 (define @t9 () (_ tptp.icl_atom tptp.t)) % 175.85/176.25 (define @t10 () (_ tptp.icl_says (_ tptp.icl_princ tptp.a))) % 175.85/176.25 (define @t11 () (_ tptp.icl_atom tptp.s)) % 175.85/176.25 (define @t12 () (not (_ tptp.iclval (_ (_ tptp.icl_impl (_ @t10 (_ (_ tptp.icl_impl @t11) @t9))) (_ (_ tptp.icl_impl (_ @t10 @t11)) (_ @t10 @t9)))))) % 175.85/176.25 (define @t13 () (@var "X" $$unsorted)) % 175.85/176.25 (define @t14 () (@list @t13)) % 175.85/176.25 (define @t15 () (lambda @t14 false)) % 175.85/176.25 (define @t16 () (lambda @t14 true)) % 175.85/176.25 (define @t17 () (@var "U" $$unsorted)) % 175.85/176.25 (define @t18 () (@var "X" (-> $$unsorted Bool))) % 175.85/176.25 (define @t19 () (_ @t18 @t17)) % 175.85/176.25 (define @t20 () (lambda (@list @t18 @t17) (not @t19))) % 175.85/176.25 (define @t21 () (@var "Y" (-> $$unsorted Bool))) % 175.85/176.25 (define @t22 () (_ @t21 @t17)) % 175.85/176.25 (define @t23 () (@list @t18 @t21 @t17)) % 175.85/176.25 (define @t24 () (lambda @t23 (or @t19 @t22))) % 175.85/176.25 (define @t25 () (lambda @t23 (and @t19 @t22))) % 175.85/176.25 (define @t26 () (@var "__flatten_var_0" $$unsorted)) % 175.85/176.25 (define @t27 () (@var "V" (-> $$unsorted Bool))) % 175.85/176.25 (define @t28 () (@var "U" (-> $$unsorted Bool))) % 175.85/176.25 (define @t29 () (@list @t28 @t27 @t26)) % 175.85/176.25 (define @t30 () (lambda @t29 (_ (_ (_ tptp.mor (_ tptp.mnot @t28)) @t27) @t26))) % 175.85/176.25 (define @t31 () (lambda @t29 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t28) @t27)) (_ (_ tptp.mimpl @t27) @t28)) @t26))) % 175.85/176.25 (define @t32 () (@var "Y" $$unsorted)) % 175.85/176.25 (define @t33 () (@var "P" (-> $$unsorted Bool))) % 175.85/176.25 (define @t34 () (_ @t33 @t32)) % 175.85/176.25 (define @t35 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 175.85/176.25 (define @t36 () (_ (_ @t35 @t13) @t32)) % 175.85/176.25 (define @t37 () (@list @t32)) % 175.85/176.25 (define @t38 () (forall @t37 (=> @t36 @t34))) % 175.85/176.25 (define @t39 () (@list @t35 @t33 @t13)) % 175.85/176.25 (define @t40 () (lambda @t39 @t38)) % 175.85/176.25 (define @t41 () (lambda @t39 (exists @t37 (and @t36 @t34)))) % 175.85/176.25 (define @t42 () (@var "W" $$unsorted)) % 175.85/176.25 (define @t43 () (@var "X" tptp.individuals)) % 175.85/176.25 (define @t44 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 175.85/176.25 (define @t45 () (_ (_ @t44 @t43) @t42)) % 175.85/176.25 (define @t46 () (@list @t43)) % 175.85/176.25 (define @t47 () (@list @t44 @t42)) % 175.85/176.25 (define @t48 () (lambda @t47 (forall @t46 @t45))) % 175.85/176.25 (define @t49 () (lambda @t47 (exists @t46 @t45))) % 175.85/176.25 (define @t50 () (_ @t33 @t42)) % 175.85/176.25 (define @t51 () (@list @t42)) % 175.85/176.25 (define @t52 () (forall @t51 @t50)) % 175.85/176.25 (define @t53 () (@list @t33)) % 175.85/176.25 (define @t54 () (lambda @t53 @t52)) % 175.85/176.25 (define @t55 () (lambda @t53 (exists @t51 @t50))) % 175.85/176.25 (define @t56 () (not @t50)) % 175.85/176.25 (define @t57 () (lambda @t53 (exists @t51 @t56))) % 175.85/176.25 (define @t58 () (lambda @t53 (forall @t51 @t56))) % 175.85/176.25 (define @t59 () (@list @t33 @t26)) % 175.85/176.25 (define @t60 () (lambda @t59 (_ (_ @t2 @t33) @t26))) % 175.85/176.25 (define @t61 () (lambda @t59 (_ @t33 @t26))) % 175.85/176.25 (define @t62 () (@list @t1 @t5 @t26)) % 175.85/176.25 (define @t63 () (lambda @t62 (_ (_ (_ tptp.mand @t1) @t5) @t26))) % 175.85/176.25 (define @t64 () (_ tptp.mor @t1)) % 175.85/176.25 (define @t65 () (lambda @t62 (_ (_ @t64 @t5) @t26))) % 175.85/176.25 (define @t66 () (lambda @t62 (_ (_ @t2 (_ (_ tptp.mimpl @t1) @t5)) @t26))) % 175.85/176.25 (define @t67 () (@var "S" (-> $$unsorted Bool))) % 175.85/176.25 (define @t68 () (@list @t1 @t67 @t26)) % 175.85/176.25 (define @t69 () (lambda @t68 (_ (_ @t2 (_ @t64 @t67)) @t26))) % 175.85/176.25 (define @t70 () (@list @t18)) % 175.85/176.25 (define @t71 () (lambda @t70 (_ tptp.mvalid @t18))) % 175.85/176.25 (define @t72 () (@var "BOUND_VARIABLE_8143" $$unsorted)) % 175.85/176.25 (define @t73 () (@var "BOUND_VARIABLE_8526" (@ho-elim-sort (-> $$unsorted Bool)))) % 175.85/176.25 (define @t74 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 175.85/176.25 (define @t75 () (@var "BOUND_VARIABLE_8141" $$unsorted)) % 175.85/176.25 (define @t76 () (@const 1 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 175.85/176.25 (define @t77 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 175.85/176.25 (define @t78 () (_ @t77 @t76 @t42)) % 175.85/176.25 (define @t79 () (not (_ @t74 @t78 @t32))) % 175.85/176.25 (define @t80 () (forall (@list @t73 @t42 @t75 @t72) (or (not (forall @t37 (or @t79 (_ @t74 @t73 @t32)))) (not (_ @t74 @t78 @t75)) (not (_ @t74 (_ @t77 @t76 @t75) @t72)) (_ @t74 @t73 @t72)))) % 175.85/176.25 (define @t81 () (_ @t5 @t72)) % 175.85/176.25 (define @t82 () (not (tptp.rel @t75 @t72))) % 175.85/176.25 (define @t83 () (not (tptp.rel @t42 @t75))) % 175.85/176.25 (define @t84 () (_ @t5 @t32)) % 175.85/176.25 (define @t85 () (not (tptp.rel @t42 @t32))) % 175.85/176.25 (define @t86 () (not (forall @t37 (or @t85 @t84)))) % 175.85/176.25 (define @t87 () (or @t86 @t83 @t82 @t81)) % 175.85/176.25 (define @t88 () (forall (@list @t5 @t42 @t75 @t72) @t87)) % 175.85/176.25 (define @t89 () (@list @t42 @t75 @t72)) % 175.85/176.25 (define @t90 () (or @t83 @t82 @t81)) % 175.85/176.25 (define @t91 () (or @t86 @t90)) % 175.85/176.25 (define @t92 () (forall @t89 @t91)) % 175.85/176.25 (define @t93 () (@list @t75 @t72)) % 175.85/176.25 (define @t94 () (forall @t93 @t91)) % 175.85/176.25 (define @t95 () (forall @t93 @t90)) % 175.85/176.25 (define @t96 () (@var "BOUND_VARIABLE_8110" $$unsorted)) % 175.85/176.25 (define @t97 () (or @t86 @t95)) % 175.85/176.25 (define @t98 () (_ @t5 @t96)) % 175.85/176.25 (define @t99 () (not (tptp.rel @t32 @t96))) % 175.85/176.25 (define @t100 () (@list @t32 @t96)) % 175.85/176.25 (define @t101 () (or @t86 (forall @t100 (or @t85 @t99 @t98)))) % 175.85/176.25 (define @t102 () (not (tptp.rel @t26 @t32))) % 175.85/176.25 (define @t103 () (forall @t100 (or @t102 @t99 @t98))) % 175.85/176.25 (define @t104 () (forall @t37 (or @t102 @t84))) % 175.85/176.25 (define @t105 () (not @t104)) % 175.85/176.25 (define @t106 () (@list @t26)) % 175.85/176.25 (define @t107 () (lambda @t106 (or @t105 @t103))) % 175.85/176.25 (define @t108 () (_ @t107 @t42)) % 175.85/176.25 (define @t109 () (forall @t51 @t108)) % 175.85/176.25 (define @t110 () (_ @t33 @t42)) % 175.85/176.25 (define @t111 () (lambda @t53 (forall @t51 @t110))) % 175.85/176.25 (define @t112 () (not (tptp.rel @t13 @t32))) % 175.85/176.25 (define @t113 () (or @t112 @t99 @t98)) % 175.85/176.25 (define @t114 () (lambda @t14 (forall @t100 @t113))) % 175.85/176.25 (define @t115 () (_ @t114 @t26)) % 175.85/176.25 (define @t116 () (or @t105 @t115)) % 175.85/176.25 (define @t117 () (lambda @t106 @t116)) % 175.85/176.25 (define @t118 () (_ @t27 @t26)) % 175.85/176.25 (define @t119 () (@list @t27 @t26)) % 175.85/176.25 (define @t120 () (or @t99 @t98)) % 175.85/176.25 (define @t121 () (or @t112 @t120)) % 175.85/176.25 (define @t122 () (forall @t100 @t121)) % 175.85/176.25 (define @t123 () (@list @t96)) % 175.85/176.25 (define @t124 () (forall @t123 @t121)) % 175.85/176.25 (define @t125 () (forall @t123 @t120)) % 175.85/176.25 (define @t126 () (@var "BOUND_VARIABLE_8094" $$unsorted)) % 175.85/176.25 (define @t127 () (@list @t126)) % 175.85/176.25 (define @t128 () (or @t112 @t125)) % 175.85/176.25 (define @t129 () (_ @t5 @t126)) % 175.85/176.25 (define @t130 () (@list @t126)) % 175.85/176.25 (define @t131 () (forall @t130 (or (not (tptp.rel @t32 @t126)) @t129))) % 175.85/176.25 (define @t132 () (forall @t37 (or @t112 @t84))) % 175.85/176.25 (define @t133 () (@list @t32)) % 175.85/176.25 (define @t134 () (lambda @t14 @t132)) % 175.85/176.25 (define @t135 () (or @t112 (_ @t134 @t32))) % 175.85/176.25 (define @t136 () (forall @t37 @t135)) % 175.85/176.25 (define @t137 () (lambda @t14 @t136)) % 175.85/176.25 (define @t138 () (_ @t33 @t32)) % 175.85/176.25 (define @t139 () (forall @t37 (or @t112 @t138))) % 175.85/176.25 (define @t140 () (lambda (@list @t33 @t13) @t139)) % 175.85/176.25 (define @t141 () (_ @t35 @t13 @t32)) % 175.85/176.25 (define @t142 () (_ (lambda @t39 (forall @t37 (or (not @t141) @t138))) tptp.rel)) % 175.85/176.25 (define @t143 () (_ @t134 @t26)) % 175.85/176.25 (define @t144 () (not @t143)) % 175.85/176.25 (define @t145 () (or @t144 @t118)) % 175.85/176.25 (define @t146 () (lambda @t119 @t145)) % 175.85/176.25 (define @t147 () (or (not (_ @t28 @t26)) @t118)) % 175.85/176.25 (define @t148 () (lambda @t29 @t147)) % 175.85/176.25 (define @t149 () (_ @t142 @t5)) % 175.85/176.25 (define @t150 () (not @t36)) % 175.85/176.25 (define @t151 () (or @t150 @t34)) % 175.85/176.25 (define @t152 () (not (_ @t28 @t17))) % 175.85/176.25 (define @t153 () (@list @t17)) % 175.85/176.25 (define @t154 () (lambda @t153 (or @t152 (_ @t27 @t17)))) % 175.85/176.25 (define @t155 () (@list @t21 @t17)) % 175.85/176.25 (define @t156 () (lambda @t153 @t152)) % 175.85/176.25 (define @t157 () (_ @t156 @t17)) % 175.85/176.25 (define @t158 () (or @t157 @t22)) % 175.85/176.25 (define @t159 () (lambda @t155 @t158)) % 175.85/176.25 (define @t160 () (@var "BOUND_VARIABLE_8466" $$unsorted)) % 175.85/176.25 (define @t161 () (@const 3 (@ho-elim-sort (-> $$unsorted Bool)))) % 175.85/176.25 (define @t162 () (@var "BOUND_VARIABLE_8464" $$unsorted)) % 175.85/176.25 (define @t163 () (@const 4 (@ho-elim-sort (-> $$unsorted Bool)))) % 175.85/176.25 (define @t164 () (@var "BOUND_VARIABLE_8462" $$unsorted)) % 175.85/176.25 (define @t165 () (_ @t77 @t76 @t164)) % 175.85/176.25 (define @t166 () (@var "BOUND_VARIABLE_8338" $$unsorted)) % 175.85/176.25 (define @t167 () (@const 5 (@ho-elim-sort (-> $$unsorted Bool)))) % 175.85/176.25 (define @t168 () (_ @t74 @t167 @t166)) % 175.85/176.25 (define @t169 () (@var "BOUND_VARIABLE_8356" $$unsorted)) % 175.85/176.25 (define @t170 () (not (_ @t74 (_ @t77 @t76 @t169) @t166))) % 175.85/176.25 (define @t171 () (_ @t74 @t163 @t169)) % 175.85/176.25 (define @t172 () (@list @t169 @t166)) % 175.85/176.25 (define @t173 () (_ @t77 @t76 @t32)) % 175.85/176.25 (define @t174 () (@var "BOUND_VARIABLE_8286" $$unsorted)) % 175.85/176.25 (define @t175 () (_ @t74 @t161 @t174)) % 175.85/176.25 (define @t176 () (@var "BOUND_VARIABLE_8284" $$unsorted)) % 175.85/176.25 (define @t177 () (_ @t77 @t76 @t176)) % 175.85/176.25 (define @t178 () (not (_ @t74 @t177 @t174))) % 175.85/176.25 (define @t179 () (@var "BOUND_VARIABLE_8201" $$unsorted)) % 175.85/176.25 (define @t180 () (_ @t74 @t167 @t179)) % 175.85/176.25 (define @t181 () (@list @t179)) % 175.85/176.25 (define @t182 () (not (forall @t181 (or (not (_ @t74 @t177 @t179)) @t180)))) % 175.85/176.25 (define @t183 () (@var "BOUND_VARIABLE_8311" $$unsorted)) % 175.85/176.25 (define @t184 () (not (_ @t74 (_ @t77 @t76 @t183) @t176))) % 175.85/176.25 (define @t185 () (_ @t74 @t163 @t183)) % 175.85/176.25 (define @t186 () (@list @t183 @t176 @t174)) % 175.85/176.25 (define @t187 () (@list @t42 @t32 @t164 @t162 @t160)) % 175.85/176.25 (define @t188 () (forall @t187 (or @t79 (not (forall @t186 (or (not (_ @t74 @t173 @t183)) @t185 @t184 @t182 @t178 @t175))) (not (_ @t74 @t173 @t164)) (not (forall @t172 (or (not (_ @t74 @t165 @t169)) @t171 @t170 @t168))) (not (_ @t74 @t165 @t162)) (_ @t74 @t163 @t162) (not (_ @t74 (_ @t77 @t76 @t162) @t160)) (_ @t74 @t161 @t160)))) % 175.85/176.25 (define @t189 () (tptp.t @t160)) % 175.85/176.25 (define @t190 () (not (tptp.rel @t162 @t160))) % 175.85/176.25 (define @t191 () (tptp.a @t162)) % 175.85/176.25 (define @t192 () (not (tptp.rel @t164 @t162))) % 175.85/176.25 (define @t193 () (tptp.s @t166)) % 175.85/176.25 (define @t194 () (not (tptp.rel @t169 @t166))) % 175.85/176.25 (define @t195 () (tptp.a @t169)) % 175.85/176.25 (define @t196 () (not (forall @t172 (or (not (tptp.rel @t164 @t169)) @t195 @t194 @t193)))) % 175.85/176.25 (define @t197 () (not (tptp.rel @t32 @t164))) % 175.85/176.25 (define @t198 () (tptp.t @t174)) % 175.85/176.25 (define @t199 () (not (tptp.rel @t176 @t174))) % 175.85/176.25 (define @t200 () (tptp.s @t179)) % 175.85/176.25 (define @t201 () (not (forall @t181 (or (not (tptp.rel @t176 @t179)) @t200)))) % 175.85/176.25 (define @t202 () (not (tptp.rel @t183 @t176))) % 175.85/176.25 (define @t203 () (tptp.a @t183)) % 175.85/176.25 (define @t204 () (forall @t186 (or (not (tptp.rel @t32 @t183)) @t203 @t202 @t201 @t199 @t198))) % 175.85/176.25 (define @t205 () (not @t204)) % 175.85/176.25 (define @t206 () (or @t85 @t205 @t197 @t196 @t192 @t191 @t190 @t189)) % 175.85/176.25 (define @t207 () (forall @t187 @t206)) % 175.85/176.25 (define @t208 () (@list @t32 @t164 @t162 @t160)) % 175.85/176.25 (define @t209 () (forall @t208 @t206)) % 175.85/176.25 (define @t210 () (or @t102 @t205 @t197 @t196 @t192 @t191 @t190 @t189)) % 175.85/176.25 (define @t211 () (lambda @t106 (forall @t208 @t210))) % 175.85/176.25 (define @t212 () (_ @t211 @t42)) % 175.85/176.25 (define @t213 () (forall @t51 @t212)) % 175.85/176.25 (define @t214 () (forall @t51 (_ @t18 @t42))) % 175.85/176.25 (define @t215 () (lambda @t70 @t214)) % 175.85/176.25 (define @t216 () (or @t197 @t196 @t192 @t191 @t190 @t189)) % 175.85/176.25 (define @t217 () (or @t102 @t205 @t216)) % 175.85/176.25 (define @t218 () (forall @t208 @t217)) % 175.85/176.25 (define @t219 () (@list @t164 @t162 @t160)) % 175.85/176.25 (define @t220 () (forall @t219 @t217)) % 175.85/176.25 (define @t221 () (forall @t219 @t216)) % 175.85/176.25 (define @t222 () (@var "BOUND_VARIABLE_8420" $$unsorted)) % 175.85/176.25 (define @t223 () (@var "BOUND_VARIABLE_8418" $$unsorted)) % 175.85/176.25 (define @t224 () (@var "BOUND_VARIABLE_8440" $$unsorted)) % 175.85/176.25 (define @t225 () (or @t102 @t205 @t221)) % 175.85/176.25 (define @t226 () (tptp.t @t222)) % 175.85/176.25 (define @t227 () (not (tptp.rel @t223 @t222))) % 175.85/176.25 (define @t228 () (tptp.a @t223)) % 175.85/176.25 (define @t229 () (not (tptp.rel @t224 @t223))) % 175.85/176.25 (define @t230 () (not (forall @t172 (or (not (tptp.rel @t224 @t169)) @t195 @t194 @t193)))) % 175.85/176.25 (define @t231 () (@list @t224 @t223 @t222)) % 175.85/176.25 (define @t232 () (forall @t231 (or (not (tptp.rel @t32 @t224)) @t230 @t229 @t228 @t227 @t226))) % 175.85/176.25 (define @t233 () (not (tptp.rel @t32 @t223))) % 175.85/176.25 (define @t234 () (forall @t172 (or (not (tptp.rel @t32 @t169)) @t195 @t194 @t193))) % 175.85/176.25 (define @t235 () (not @t234)) % 175.85/176.25 (define @t236 () (or @t102 @t235 @t233 @t228 @t227 @t226)) % 175.85/176.25 (define @t237 () (@list @t32 @t223 @t222)) % 175.85/176.25 (define @t238 () (forall @t237 @t236)) % 175.85/176.25 (define @t239 () (lambda @t106 @t238)) % 175.85/176.25 (define @t240 () (or @t102 @t205 (_ @t239 @t32))) % 175.85/176.25 (define @t241 () (forall @t37 @t240)) % 175.85/176.25 (define @t242 () (lambda @t106 @t241)) % 175.85/176.25 (define @t243 () (@list @t5 @t26)) % 175.85/176.25 (define @t244 () (or @t233 @t228 @t227 @t226)) % 175.85/176.25 (define @t245 () (or @t102 @t235 @t244)) % 175.85/176.25 (define @t246 () (forall @t237 @t245)) % 175.85/176.25 (define @t247 () (@list @t223 @t222)) % 175.85/176.25 (define @t248 () (forall @t247 @t245)) % 175.85/176.25 (define @t249 () (forall @t247 @t244)) % 175.85/176.25 (define @t250 () (@var "BOUND_VARIABLE_8383" $$unsorted)) % 175.85/176.25 (define @t251 () (@var "BOUND_VARIABLE_8400" $$unsorted)) % 175.85/176.25 (define @t252 () (or @t102 @t235 @t249)) % 175.85/176.25 (define @t253 () (tptp.t @t250)) % 175.85/176.25 (define @t254 () (not (tptp.rel @t251 @t250))) % 175.85/176.25 (define @t255 () (tptp.a @t251)) % 175.85/176.25 (define @t256 () (@list @t251 @t250)) % 175.85/176.25 (define @t257 () (forall @t256 (or (not (tptp.rel @t32 @t251)) @t255 @t254 @t253))) % 175.85/176.25 (define @t258 () (not (tptp.rel @t32 @t250))) % 175.85/176.25 (define @t259 () (tptp.a @t32)) % 175.85/176.25 (define @t260 () (or @t102 @t259 @t258 @t253)) % 175.85/176.25 (define @t261 () (@list @t32 @t250)) % 175.85/176.25 (define @t262 () (forall @t261 @t260)) % 175.85/176.25 (define @t263 () (lambda @t106 @t262)) % 175.85/176.25 (define @t264 () (or @t102 @t235 (_ @t263 @t32))) % 175.85/176.25 (define @t265 () (forall @t37 @t264)) % 175.85/176.25 (define @t266 () (lambda @t106 @t265)) % 175.85/176.25 (define @t267 () (or @t258 @t253)) % 175.85/176.25 (define @t268 () (or @t102 @t259 @t267)) % 175.85/176.25 (define @t269 () (forall @t261 @t268)) % 175.85/176.25 (define @t270 () (@list @t250)) % 175.85/176.25 (define @t271 () (forall @t270 @t268)) % 175.85/176.25 (define @t272 () (forall @t270 @t267)) % 175.85/176.25 (define @t273 () (@var "BOUND_VARIABLE_8229" $$unsorted)) % 175.85/176.25 (define @t274 () (@list @t273)) % 175.85/176.25 (define @t275 () (or @t102 @t259 @t272)) % 175.85/176.25 (define @t276 () (tptp.t @t273)) % 175.85/176.25 (define @t277 () (@list @t273)) % 175.85/176.25 (define @t278 () (forall @t277 (or (not (tptp.rel @t32 @t273)) @t276))) % 175.85/176.25 (define @t279 () (forall @t37 (or @t102 (tptp.t @t32)))) % 175.85/176.25 (define @t280 () (lambda @t106 @t279)) % 175.85/176.25 (define @t281 () (_ @t280 @t32)) % 175.85/176.25 (define @t282 () (or @t102 @t259 @t281)) % 175.85/176.25 (define @t283 () (forall @t37 @t282)) % 175.85/176.25 (define @t284 () (lambda @t106 @t283)) % 175.85/176.25 (define @t285 () (_ @t67 @t32)) % 175.85/176.25 (define @t286 () (@list @t67 @t26)) % 175.85/176.25 (define @t287 () (lambda @t286 (forall @t37 (or @t102 @t259 @t285)))) % 175.85/176.25 (define @t288 () (forall @t37 (or @t102 @t138))) % 175.85/176.25 (define @t289 () (lambda @t59 @t288)) % 175.85/176.25 (define @t290 () (_ @t289 tptp.t)) % 175.85/176.25 (define @t291 () (_ tptp.a @t32)) % 175.85/176.25 (define @t292 () (or @t102 @t291 @t285)) % 175.85/176.25 (define @t293 () (lambda @t106 (_ tptp.a @t26))) % 175.85/176.25 (define @t294 () (_ @t293 @t32)) % 175.85/176.25 (define @t295 () (or @t102 @t294 @t285)) % 175.85/176.25 (define @t296 () (forall @t37 @t295)) % 175.85/176.25 (define @t297 () (lambda @t286 @t296)) % 175.85/176.25 (define @t298 () (_ @t1 @t32)) % 175.85/176.25 (define @t299 () (forall @t37 (or @t102 @t298 @t285))) % 175.85/176.25 (define @t300 () (lambda @t68 @t299)) % 175.85/176.25 (define @t301 () (_ @t61 tptp.a)) % 175.85/176.25 (define @t302 () (not (tptp.rel @t32 @t166))) % 175.85/176.25 (define @t303 () (or @t102 @t259 @t302 @t193)) % 175.85/176.25 (define @t304 () (@list @t32 @t166)) % 175.85/176.25 (define @t305 () (forall @t304 @t303)) % 175.85/176.25 (define @t306 () (lambda @t106 @t305)) % 175.85/176.25 (define @t307 () (not (_ @t306 @t32))) % 175.85/176.25 (define @t308 () (or @t102 @t307 @t84)) % 175.85/176.25 (define @t309 () (forall @t37 @t308)) % 175.85/176.25 (define @t310 () (lambda @t243 @t309)) % 175.85/176.25 (define @t311 () (not @t298)) % 175.85/176.25 (define @t312 () (forall @t37 (or @t102 @t311 @t84))) % 175.85/176.25 (define @t313 () (lambda @t62 @t312)) % 175.85/176.25 (define @t314 () (or @t302 @t193)) % 175.85/176.25 (define @t315 () (or @t102 @t259 @t314)) % 175.85/176.25 (define @t316 () (forall @t304 @t315)) % 175.85/176.25 (define @t317 () (@list @t166)) % 175.85/176.25 (define @t318 () (forall @t317 @t315)) % 175.85/176.25 (define @t319 () (forall @t317 @t314)) % 175.85/176.25 (define @t320 () (@list @t179)) % 175.85/176.25 (define @t321 () (or @t102 @t259 @t319)) % 175.85/176.25 (define @t322 () (forall @t181 (or (not (tptp.rel @t32 @t179)) @t200))) % 175.85/176.25 (define @t323 () (forall @t37 (or @t102 (tptp.s @t32)))) % 175.85/176.25 (define @t324 () (lambda @t106 @t323)) % 175.85/176.25 (define @t325 () (_ @t324 @t32)) % 175.85/176.25 (define @t326 () (or @t102 @t259 @t325)) % 175.85/176.25 (define @t327 () (forall @t37 @t326)) % 175.85/176.25 (define @t328 () (lambda @t106 @t327)) % 175.85/176.25 (define @t329 () (_ @t289 tptp.s)) % 175.85/176.25 (define @t330 () (not (tptp.rel @t32 @t176))) % 175.85/176.25 (define @t331 () (or @t102 @t259 @t330 @t201 @t199 @t198)) % 175.85/176.25 (define @t332 () (@list @t32 @t176 @t174)) % 175.85/176.25 (define @t333 () (forall @t332 @t331)) % 175.85/176.25 (define @t334 () (lambda @t106 @t333)) % 175.85/176.25 (define @t335 () (not (_ @t334 @t32))) % 175.85/176.25 (define @t336 () (or @t102 @t335 @t84)) % 175.85/176.25 (define @t337 () (forall @t37 @t336)) % 175.85/176.25 (define @t338 () (lambda @t243 @t337)) % 175.85/176.25 (define @t339 () (or @t330 @t201 @t199 @t198)) % 175.85/176.25 (define @t340 () (or @t102 @t259 @t339)) % 175.85/176.25 (define @t341 () (forall @t332 @t340)) % 175.85/176.25 (define @t342 () (@list @t176 @t174)) % 175.85/176.25 (define @t343 () (forall @t342 @t340)) % 175.85/176.25 (define @t344 () (forall @t342 @t339)) % 175.85/176.25 (define @t345 () (@var "BOUND_VARIABLE_8245" $$unsorted)) % 175.85/176.25 (define @t346 () (@var "BOUND_VARIABLE_8262" $$unsorted)) % 175.85/176.25 (define @t347 () (or @t102 @t259 @t344)) % 175.85/176.25 (define @t348 () (tptp.t @t345)) % 175.85/176.25 (define @t349 () (not (tptp.rel @t346 @t345))) % 175.85/176.25 (define @t350 () (not (forall @t181 (or (not (tptp.rel @t346 @t179)) @t200)))) % 175.85/176.25 (define @t351 () (@list @t346 @t345)) % 175.85/176.25 (define @t352 () (forall @t351 (or (not (tptp.rel @t32 @t346)) @t350 @t349 @t348))) % 175.85/176.25 (define @t353 () (not (tptp.rel @t32 @t345))) % 175.85/176.25 (define @t354 () (not @t322)) % 175.85/176.25 (define @t355 () (or @t102 @t354 @t353 @t348)) % 175.85/176.25 (define @t356 () (@list @t32 @t345)) % 175.85/176.25 (define @t357 () (forall @t356 @t355)) % 175.85/176.25 (define @t358 () (lambda @t106 @t357)) % 175.85/176.25 (define @t359 () (or @t102 @t259 (_ @t358 @t32))) % 175.85/176.25 (define @t360 () (forall @t37 @t359)) % 175.85/176.25 (define @t361 () (lambda @t106 @t360)) % 175.85/176.25 (define @t362 () (or @t353 @t348)) % 175.85/176.25 (define @t363 () (or @t102 @t354 @t362)) % 175.85/176.25 (define @t364 () (forall @t356 @t363)) % 175.85/176.25 (define @t365 () (@list @t345)) % 175.85/176.25 (define @t366 () (forall @t365 @t363)) % 175.85/176.25 (define @t367 () (forall @t365 @t362)) % 175.85/176.25 (define @t368 () (or @t102 @t354 @t367)) % 175.85/176.25 (define @t369 () (or @t102 @t354 @t281)) % 175.85/176.25 (define @t370 () (forall @t37 @t369)) % 175.85/176.25 (define @t371 () (lambda @t106 @t370)) % 175.85/176.25 (define @t372 () (not @t325)) % 175.85/176.25 (define @t373 () (or @t102 @t372 @t84)) % 175.85/176.25 (define @t374 () (forall @t37 @t373)) % 175.85/176.25 (define @t375 () (lambda @t243 @t374)) % 175.85/176.25 (define @t376 () (_ @t300 @t301)) % 175.85/176.25 (define @t377 () (lambda @t14 @t139)) % 175.85/176.25 (define @t378 () (_ @t67 @t32)) % 175.85/176.25 (define @t379 () (_ @t1 @t32)) % 175.85/176.25 (define @t380 () (or @t112 @t379 @t378)) % 175.85/176.25 (define @t381 () (or @t379 @t378)) % 175.85/176.25 (define @t382 () (_ @t1 @t17)) % 175.85/176.25 (define @t383 () (lambda @t153 (or @t382 (_ @t67 @t17)))) % 175.85/176.25 (define @t384 () (_ @t383 @t32)) % 175.85/176.25 (define @t385 () (or @t112 @t384)) % 175.85/176.25 (define @t386 () (forall @t37 @t385)) % 175.85/176.25 (define @t387 () (lambda @t14 @t386)) % 175.85/176.25 (define @t388 () (lambda @t155 (or @t382 @t22))) % 175.85/176.25 (define @t389 () (_ @t5 @t32)) % 175.85/176.25 (define @t390 () (not @t379)) % 175.85/176.25 (define @t391 () (or @t112 @t390 @t389)) % 175.85/176.25 (define @t392 () (or @t390 @t389)) % 175.85/176.25 (define @t393 () (_ @t1 @t26)) % 175.85/176.25 (define @t394 () (not @t393)) % 175.85/176.25 (define @t395 () (lambda @t106 (or @t394 (_ @t5 @t26)))) % 175.85/176.25 (define @t396 () (_ @t395 @t32)) % 175.85/176.25 (define @t397 () (or @t112 @t396)) % 175.85/176.25 (define @t398 () (forall @t37 @t397)) % 175.85/176.25 (define @t399 () (lambda @t14 @t398)) % 175.85/176.25 (define @t400 () (lambda @t119 (or @t394 @t118))) % 175.85/176.25 (define @t401 () (@quantifiers_skolemize @t188 1)) % 175.85/176.25 (define @t402 () (_ @t77 @t76 @t401)) % 175.85/176.25 (define @t403 () (forall @t186 (or (not (_ @t74 @t402 @t183)) @t185 @t184 @t182 @t178 @t175))) % 175.85/176.25 (define @t404 () (@quantifiers_skolemize @t188 4)) % 175.85/176.25 (define @t405 () (_ @t74 @t161 @t404)) % 175.85/176.25 (define @t406 () (@quantifiers_skolemize @t188 3)) % 175.85/176.25 (define @t407 () (_ @t77 @t76 @t406)) % 175.85/176.25 (define @t408 () (_ @t74 @t407 @t404)) % 175.85/176.25 (define @t409 () (not @t408)) % 175.85/176.25 (define @t410 () (_ @t74 @t163 @t406)) % 175.85/176.25 (define @t411 () (@quantifiers_skolemize @t188 2)) % 175.85/176.25 (define @t412 () (_ @t77 @t76 @t411)) % 175.85/176.25 (define @t413 () (_ @t74 @t412 @t406)) % 175.85/176.25 (define @t414 () (not @t413)) % 175.85/176.25 (define @t415 () (forall @t172 (or (not (_ @t74 @t412 @t169)) @t171 @t170 @t168))) % 175.85/176.25 (define @t416 () (not @t415)) % 175.85/176.25 (define @t417 () (_ @t74 @t402 @t411)) % 175.85/176.25 (define @t418 () (not @t417)) % 175.85/176.25 (define @t419 () (not @t403)) % 175.85/176.25 (define @t420 () (or (not (_ @t74 (_ @t77 @t76 (@quantifiers_skolemize @t188 0)) @t401)) @t419 @t418 @t416 @t414 @t410 @t409 @t405)) % 175.85/176.25 (define @t421 () (@list true)) % 175.85/176.25 (define @t422 () (@list @t420)) % 175.85/176.25 (define @t423 () (forall @t181 (or (not (_ @t74 @t407 @t179)) @t180))) % 175.85/176.25 (define @t424 () (@quantifiers_skolemize @t423 0)) % 175.85/176.25 (define @t425 () (_ @t74 @t407 @t424)) % 175.85/176.25 (define @t426 () (_ @t74 @t167 @t424)) % 175.85/176.25 (define @t427 () (not @t425)) % 175.85/176.25 (define @t428 () (or @t427 @t426)) % 175.85/176.25 (define @t429 () (or @t414 @t410 @t427 @t426)) % 175.85/176.25 (define @t430 () (not @t428)) % 175.85/176.25 (define @t431 () (not @t423)) % 175.85/176.25 (define @t432 () (@list false)) % 175.85/176.25 (define @t433 () (@var "BOUND_VARIABLE_8502" (@ho-elim-sort (-> $$unsorted Bool)))) % 175.85/176.25 (define @t434 () (forall (@list @t433 @t42) (or (not (forall @t37 (or @t79 (_ @t74 @t433 @t32)))) (_ @t74 @t433 @t42)))) % 175.85/176.25 (define @t435 () (_ @t1 @t42)) % 175.85/176.25 (define @t436 () (not (forall @t37 (or @t85 @t298)))) % 175.85/176.25 (define @t437 () (or @t436 @t435)) % 175.85/176.25 (define @t438 () (forall (@list @t1 @t42) @t437)) % 175.85/176.25 (define @t439 () (_ @t1 @t42)) % 175.85/176.25 (define @t440 () (or @t436 @t439)) % 175.85/176.25 (define @t441 () (forall @t37 (or @t102 @t298))) % 175.85/176.25 (define @t442 () (not @t441)) % 175.85/176.25 (define @t443 () (lambda @t106 (or @t442 @t393))) % 175.85/176.25 (define @t444 () (_ @t443 @t42)) % 175.85/176.25 (define @t445 () (forall @t51 @t444)) % 175.85/176.25 (define @t446 () (lambda @t14 (forall @t37 (or @t112 @t298)))) % 175.85/176.25 (define @t447 () (_ @t446 @t26)) % 175.85/176.25 (define @t448 () (not @t447)) % 175.85/176.25 (define @t449 () (or @t448 @t118)) % 175.85/176.25 (define @t450 () (lambda @t119 @t449)) % 175.85/176.25 (define @t451 () (_ @t74 @t407 @t406)) % 175.85/176.25 (define @t452 () (_ @t74 @t407 @t32)) % 175.85/176.25 (define @t453 () (forall @t37 (or (not @t452) @t452))) % 175.85/176.25 (define @t454 () (not @t453)) % 175.85/176.25 (define @t455 () (or @t454 @t451)) % 175.85/176.25 (define @t456 () (not @t451)) % 175.85/176.25 (define @t457 () (_ @t74 @t402 @t406)) % 175.85/176.25 (define @t458 () (not @t457)) % 175.85/176.25 (define @t459 () (or @t458 @t410 @t456 @t431 @t409 @t405)) % 175.85/176.25 (define @t460 () (or @t418 @t414 @t457)) % 175.85/176.25 (define @t461 () (not @t460)) % 175.85/176.25 (define @t462 () (_ @t74 @t402 @t32)) % 175.85/176.25 (define @t463 () (forall @t37 (or (not @t462) @t462))) % 175.85/176.25 (define @t464 () (not @t463)) % 175.85/176.25 (define @t465 () (or @t464 @t418 @t414 @t457)) % 175.85/176.25 (assume @p1 (= tptp.icl_true tptp.mtrue)) % 175.85/176.25 (assume @p2 (= tptp.icl_false tptp.mfalse)) % 175.85/176.25 (assume @p3 @t4) % 175.85/176.25 (assume @p4 @t8) % 175.85/176.25 (assume @p5 @t12) % 175.85/176.25 (assume @p6 true) % 175.85/176.25 (step @p7 (= tptp.mfalse @t15) :rule refl :args (@t15)) % 175.85/176.25 (step @p8 (= tptp.mtrue @t16) :rule refl :args (@t16)) % 175.85/176.25 (step @p9 (= tptp.mnot @t20) :rule refl :args (@t20)) % 175.85/176.25 (step @p10 (= tptp.mor @t24) :rule refl :args (@t24)) % 175.85/176.25 (step @p11 (= tptp.mand @t25) :rule refl :args (@t25)) % 175.85/176.25 (step @p12 (= tptp.mimpl @t30) :rule refl :args (@t30)) % 175.85/176.25 (step @p13 (= tptp.miff @t31) :rule refl :args (@t31)) % 175.85/176.25 (step @p14 (= tptp.mbox @t40) :rule refl :args (@t40)) % 175.85/176.25 (step @p15 (= tptp.mdia @t41) :rule refl :args (@t41)) % 175.85/176.25 (step @p16 (= tptp.mall @t48) :rule refl :args (@t48)) % 175.85/176.25 (step @p17 (= tptp.mexists @t49) :rule refl :args (@t49)) % 175.85/176.25 (step @p18 (= tptp.mvalid @t54) :rule refl :args (@t54)) % 175.85/176.25 (step @p19 (= tptp.msatisfiable @t55) :rule refl :args (@t55)) % 175.85/176.25 (step @p20 (= tptp.mcountersatisfiable @t57) :rule refl :args (@t57)) % 175.85/176.25 (step @p21 (= tptp.minvalid @t58) :rule refl :args (@t58)) % 175.85/176.25 (step @p22 (= tptp.icl_atom @t60) :rule refl :args (@t60)) % 175.85/176.25 (step @p23 (= tptp.icl_princ @t61) :rule refl :args (@t61)) % 175.85/176.25 (step @p24 (= tptp.icl_and @t63) :rule refl :args (@t63)) % 175.85/176.25 (step @p25 (= tptp.icl_or @t65) :rule refl :args (@t65)) % 175.85/176.25 (step @p26 (= tptp.icl_impl @t66) :rule refl :args (@t66)) % 175.85/176.25 (step @p27 (= tptp.icl_says @t69) :rule refl :args (@t69)) % 175.85/176.25 (step @p28 (= tptp.iclval @t71) :rule refl :args (@t71)) % 175.85/176.25 ; WARNING: add trust step for TRUST % 175.85/176.25 ; trust TRUST PREPROCESS_HO_ELIM % 175.85/176.25 (step @p29 :rule trust :premises () :args ((= @t88 @t80))) % 175.85/176.25 (step @p30 :rule quant-merge-prenex :args ((= (forall @t7 (forall @t89 @t87)) @t88))) % 175.85/176.25 (step @p31 :rule aci_norm :args ((= @t91 @t87))) % 175.85/176.25 (step @p32 :rule cong :premises (@p31) :args (@t92)) % 175.85/176.25 (step @p33 :rule quant-merge-prenex :args ((= (forall @t51 @t94) @t92))) % 175.85/176.25 (step @p34 :rule alpha_equiv :args (@t95 (@list @t75 @t72) (@list @t32 @t96))) % 175.85/176.25 (step @p35 :rule refl :args (@t86)) % 175.85/176.25 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t97)) % 175.85/176.25 (step @p37 :rule quant-miniscope-or :args ((= @t94 @t97))) % 175.85/176.25 (step @p38 :rule trans :premises (@p37 @p36)) % 175.85/176.25 (step @p39 :rule symm :premises (@p38)) % 175.85/176.25 (step @p40 :rule cong :premises (@p39) :args ((forall @t51 @t101))) % 175.85/176.25 (step @p41 :rule trans :premises (@p40 @p33)) % 175.85/176.25 (step @p42 :rule trans :premises (@p41 @p32)) % 175.85/176.25 (step @p43 :rule beta-reduce :args ((= @t108 @t101))) % 175.85/176.25 (step @p44 :rule cong :premises (@p43) :args (@t109)) % 175.85/176.25 (step @p45 :rule trans :premises (@p44 @p42)) % 175.85/176.25 (step @p46 :rule beta-reduce :args ((= (_ @t111 @t107) @t109))) % 175.85/176.25 (step @p47 :rule trans :premises (@p46 @p45)) % 175.85/176.25 (step @p48 :rule beta-reduce :args ((= @t115 @t103))) % 175.85/176.25 (step @p49 :rule refl :args (@t105)) % 175.85/176.25 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t116)) % 175.85/176.25 (step @p51 :rule cong :premises (@p50) :args (@t117)) % 175.85/176.25 (step @p52 :rule beta-reduce :args ((= (_ (lambda @t119 (or @t105 @t118)) @t114) @t117))) % 175.85/176.25 (step @p53 :rule trans :premises (@p52 @p51)) % 175.85/176.25 (step @p54 :rule aci_norm :args ((= @t121 @t113))) % 175.85/176.25 (step @p55 :rule cong :premises (@p54) :args (@t122)) % 175.85/176.25 (step @p56 :rule quant-merge-prenex :args ((= (forall @t37 @t124) @t122))) % 175.85/176.25 (step @p57 :rule alpha_equiv :args (@t125 (@list @t96) @t127)) % 175.85/176.25 (step @p58 :rule refl :args (@t112)) % 175.85/176.25 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t128)) % 175.85/176.25 (step @p60 :rule quant-miniscope-or :args ((= @t124 @t128))) % 175.85/176.25 (step @p61 :rule trans :premises (@p60 @p59)) % 175.85/176.25 (step @p62 :rule symm :premises (@p61)) % 175.85/176.25 (step @p63 :rule cong :premises (@p62) :args ((forall @t37 (or @t112 @t131)))) % 175.85/176.25 (step @p64 :rule trans :premises (@p63 @p56)) % 175.85/176.25 (step @p65 :rule trans :premises (@p64 @p55)) % 175.85/176.25 (step @p66 :rule beta-reduce :args ((= (_ (lambda @t14 (forall @t130 (or (not (tptp.rel @t13 @t126)) @t129))) @t32) @t131))) % 175.85/176.25 (step @p67 :rule refl :args (@t32)) % 175.85/176.25 (step @p68 :rule alpha_equiv :args (@t132 @t133 @t127)) % 175.85/176.25 (step @p69 :rule cong :premises (@p68) :args (@t134)) % 175.85/176.25 (step @p70 :rule ho_cong :premises (@p69 @p67)) % 175.85/176.25 (step @p71 :rule trans :premises (@p70 @p66)) % 175.85/176.25 (step @p72 :rule refl :args (@t112)) % 175.85/176.25 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t135)) % 175.85/176.25 (step @p74 :rule cong :premises (@p73) :args (@t136)) % 175.85/176.25 (step @p75 :rule trans :premises (@p74 @p65)) % 175.85/176.25 (step @p76 :rule cong :premises (@p75) :args (@t137)) % 175.85/176.25 (step @p77 :rule beta-reduce :args ((= (_ @t140 @t134) @t137))) % 175.85/176.25 (step @p78 :rule trans :premises (@p77 @p76)) % 175.85/176.25 (step @p79 :rule beta-reduce :args ((= (_ @t140 @t5) @t134))) % 175.85/176.25 (step @p80 :rule refl :args (@t5)) % 175.85/176.25 (step @p81 :rule beta-reduce :args ((= @t142 @t140))) % 175.85/176.25 (step @p82 :rule ho_cong :premises (@p81 @p80)) % 175.85/176.25 (step @p83 :rule trans :premises (@p82 @p79)) % 175.85/176.25 (step @p84 :rule ho_cong :premises (@p81 @p83)) % 175.85/176.25 (step @p85 :rule trans :premises (@p84 @p78)) % 175.85/176.25 (step @p86 :rule refl :args (@t118)) % 175.85/176.25 (step @p87 :rule beta-reduce :args ((= @t143 @t104))) % 175.85/176.25 (step @p88 :rule cong :premises (@p87) :args (@t144)) % 175.85/176.25 (step @p89 :rule nary_cong :premises (@p88 @p86) :args (@t145)) % 175.85/176.25 (step @p90 :rule cong :premises (@p89) :args (@t146)) % 175.85/176.25 (step @p91 :rule beta-reduce :args ((= (_ @t148 @t134) @t146))) % 175.85/176.25 (step @p92 :rule trans :premises (@p91 @p90)) % 175.85/176.25 (step @p93 :rule refl :args (@t148)) % 175.85/176.25 (step @p94 :rule ho_cong :premises (@p93 @p83)) % 175.85/176.25 (step @p95 :rule trans :premises (@p94 @p92)) % 175.85/176.25 (step @p96 :rule ho_cong :premises (@p95 @p85)) % 175.85/176.25 (step @p97 :rule trans :premises (@p96 @p53)) % 175.85/176.25 (step @p98 :rule refl :args (@t111)) % 175.85/176.25 (step @p99 :rule ho_cong :premises (@p98 @p97)) % 175.85/176.25 (step @p100 :rule trans :premises (@p99 @p47)) % 175.85/176.25 (step @p101 :rule cong :premises (@p100) :args ((forall @t7 (_ @t111 (_ (_ @t148 @t149) (_ @t142 @t149)))))) % 175.85/176.25 (step @p102 :rule trans :premises (@p101 @p30)) % 175.85/176.25 (step @p103 :rule refl :args (tptp.rel)) % 175.85/176.25 (step @p104 :rule refl :args (@t138)) % 175.85/176.25 (step @p105 :rule refl :args (@t34)) % 175.85/176.25 (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t34 @t138))) % 175.85/176.25 (step @p107 :rule symm :premises (@p106)) % 175.85/176.25 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 175.85/176.25 (step @p109 :rule refl :args (@t141)) % 175.85/176.25 (step @p110 :rule refl :args (@t36)) % 175.85/176.25 (step @p111 :rule cong :premises (@p110 @p109) :args ((= @t36 @t141))) % 175.85/176.25 (step @p112 :rule symm :premises (@p111)) % 175.85/176.25 (step @p113 :rule eq_resolve :premises (@p110 @p112)) % 175.85/176.25 (step @p114 :rule cong :premises (@p113) :args (@t150)) % 175.85/176.25 (step @p115 :rule nary_cong :premises (@p114 @p108) :args (@t151)) % 175.85/176.25 (step @p116 :rule cong :premises (@p115) :args ((forall @t37 @t151))) % 175.85/176.25 (step @p117 :rule bool-impl-elim :args (@t36 @t34)) % 175.85/176.25 (step @p118 :rule cong :premises (@p117) :args (@t38)) % 175.85/176.25 (step @p119 :rule trans :premises (@p118 @p116)) % 175.85/176.25 (step @p120 :rule cong :premises (@p119) :args (@t40)) % 175.85/176.25 (step @p121 :rule trans :premises (@p14 @p120)) % 175.85/176.25 (step @p122 :rule ho_cong :premises (@p121 @p103)) % 175.85/176.25 (step @p123 :rule ho_cong :premises (@p122 @p80)) % 175.85/176.25 (step @p124 :rule ho_cong :premises (@p122 @p123)) % 175.85/176.25 (step @p125 :rule beta-reduce :args ((= (_ @t154 @t26) @t147))) % 175.85/176.25 (step @p126 :rule refl :args (@t26)) % 175.85/176.25 (step @p127 :rule beta-reduce :args ((= (_ (lambda @t155 (or @t152 @t22)) @t27) @t154))) % 175.85/176.25 (step @p128 :rule refl :args (@t27)) % 175.85/176.25 (step @p129 :rule refl :args (@t22)) % 175.85/176.25 (step @p130 :rule beta-reduce :args ((= @t157 @t152))) % 175.85/176.25 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t158)) % 175.85/176.25 (step @p132 :rule cong :premises (@p131) :args (@t159)) % 175.85/176.25 (step @p133 :rule beta-reduce :args ((= (_ @t24 @t156) @t159))) % 175.85/176.25 (step @p134 :rule trans :premises (@p133 @p132)) % 175.85/176.25 (step @p135 :rule beta-reduce :args ((= (_ @t20 @t28) @t156))) % 175.85/176.25 (step @p136 :rule refl :args (@t24)) % 175.85/176.25 (step @p137 :rule ho_cong :premises (@p136 @p135)) % 175.85/176.25 (step @p138 :rule trans :premises (@p137 @p134)) % 175.85/176.25 (step @p139 :rule ho_cong :premises (@p138 @p128)) % 175.85/176.25 (step @p140 :rule trans :premises (@p139 @p127)) % 175.85/176.25 (step @p141 :rule ho_cong :premises (@p140 @p126)) % 175.85/176.25 (step @p142 :rule trans :premises (@p141 @p125)) % 175.85/176.25 (step @p143 :rule refl :args (@t28)) % 175.85/176.25 (step @p144 :rule ho_cong :premises (@p9 @p143)) % 175.85/176.25 (step @p145 :rule ho_cong :premises (@p10 @p144)) % 175.85/176.25 (step @p146 :rule ho_cong :premises (@p145 @p128)) % 175.85/176.25 (step @p147 :rule ho_cong :premises (@p146 @p126)) % 175.85/176.25 (step @p148 :rule trans :premises (@p147 @p142)) % 175.85/176.25 (step @p149 :rule cong :premises (@p148) :args (@t30)) % 175.85/176.25 (step @p150 :rule trans :premises (@p12 @p149)) % 175.85/176.25 (step @p151 :rule ho_cong :premises (@p150 @p123)) % 175.85/176.25 (step @p152 :rule ho_cong :premises (@p151 @p124)) % 175.85/176.25 (step @p153 :rule refl :args (@t110)) % 175.85/176.25 (step @p154 :rule refl :args (@t50)) % 175.85/176.25 (step @p155 :rule cong :premises (@p154 @p153) :args ((= @t50 @t110))) % 175.85/176.25 (step @p156 :rule symm :premises (@p155)) % 175.85/176.25 (step @p157 :rule eq_resolve :premises (@p154 @p156)) % 175.85/176.25 (step @p158 :rule cong :premises (@p157) :args (@t52)) % 175.85/176.25 (step @p159 :rule cong :premises (@p158) :args (@t54)) % 175.85/176.25 (step @p160 :rule trans :premises (@p18 @p159)) % 175.85/176.25 (step @p161 :rule ho_cong :premises (@p160 @p152)) % 175.85/176.25 (step @p162 :rule cong :premises (@p161) :args (@t8)) % 175.85/176.25 (step @p163 :rule trans :premises (@p162 @p102)) % 175.85/176.25 (step @p164 :rule trans :premises (@p163 @p29)) % 175.85/176.25 (step @p165 :rule eq_resolve :premises (@p4 @p164)) % 175.85/176.25 ; trust TRUST PREPROCESS_HO_ELIM % 175.85/176.25 (step @p166 :rule trust :premises () :args ((= (not @t207) (not @t188)))) % 175.85/176.25 (step @p167 :rule quant-merge-prenex :args ((= (forall @t51 @t209) @t207))) % 175.85/176.25 (step @p168 :rule beta-reduce :args ((= @t212 @t209))) % 175.85/176.25 (step @p169 :rule cong :premises (@p168) :args (@t213)) % 175.85/176.25 (step @p170 :rule trans :premises (@p169 @p167)) % 175.85/176.25 (step @p171 :rule beta-reduce :args ((= (_ @t215 @t211) @t213))) % 175.85/176.25 (step @p172 :rule trans :premises (@p171 @p170)) % 175.85/176.25 (step @p173 :rule aci_norm :args ((= @t217 @t210))) % 175.85/176.25 (step @p174 :rule cong :premises (@p173) :args (@t218)) % 175.85/176.25 (step @p175 :rule quant-merge-prenex :args ((= (forall @t37 @t220) @t218))) % 175.85/176.25 (step @p176 :rule alpha_equiv :args (@t221 (@list @t164 @t162 @t160) (@list @t224 @t223 @t222))) % 175.85/176.25 (step @p177 :rule refl :args (@t205)) % 175.85/176.25 (step @p178 :rule refl :args (@t102)) % 175.85/176.25 (step @p179 :rule nary_cong :premises (@p178 @p177 @p176) :args (@t225)) % 175.85/176.25 (step @p180 :rule quant-miniscope-or :args ((= @t220 @t225))) % 175.85/176.25 (step @p181 :rule trans :premises (@p180 @p179)) % 175.85/176.25 (step @p182 :rule symm :premises (@p181)) % 175.85/176.25 (step @p183 :rule cong :premises (@p182) :args ((forall @t37 (or @t102 @t205 @t232)))) % 175.85/176.25 (step @p184 :rule trans :premises (@p183 @p175)) % 175.85/176.25 (step @p185 :rule trans :premises (@p184 @p174)) % 175.85/176.25 (step @p186 :rule beta-reduce :args ((= (_ (lambda @t106 (forall @t231 (or (not (tptp.rel @t26 @t224)) @t230 @t229 @t228 @t227 @t226))) @t32) @t232))) % 175.85/176.25 (step @p187 :rule alpha_equiv :args (@t238 @t133 (@list @t224))) % 175.85/176.25 (step @p188 :rule cong :premises (@p187) :args (@t239)) % 175.85/176.25 (step @p189 :rule ho_cong :premises (@p188 @p67)) % 175.85/176.25 (step @p190 :rule trans :premises (@p189 @p186)) % 175.85/176.25 (step @p191 :rule refl :args (@t205)) % 175.85/176.25 (step @p192 :rule refl :args (@t102)) % 175.85/176.25 (step @p193 :rule nary_cong :premises (@p192 @p191 @p190) :args (@t240)) % 175.85/176.25 (step @p194 :rule cong :premises (@p193) :args (@t241)) % 175.85/176.25 (step @p195 :rule trans :premises (@p194 @p185)) % 175.85/176.25 (step @p196 :rule cong :premises (@p195) :args (@t242)) % 175.85/176.25 (step @p197 :rule beta-reduce :args ((= (_ (lambda @t243 (forall @t37 (or @t102 @t205 @t84))) @t239) @t242))) % 175.85/176.25 (step @p198 :rule trans :premises (@p197 @p196)) % 175.85/176.25 (step @p199 :rule aci_norm :args ((= @t245 @t236))) % 175.85/176.25 (step @p200 :rule cong :premises (@p199) :args (@t246)) % 175.85/176.25 (step @p201 :rule quant-merge-prenex :args ((= (forall @t37 @t248) @t246))) % 175.85/176.25 (step @p202 :rule alpha_equiv :args (@t249 (@list @t223 @t222) (@list @t251 @t250))) % 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:args (@t1)) % 175.85/176.25 (step @p432 :rule ho_cong :premises (@p10 @p431)) % 175.85/176.25 (step @p433 :rule ho_cong :premises (@p432 @p423)) % 175.85/176.25 (step @p434 :rule ho_cong :premises (@p122 @p433)) % 175.85/176.25 (step @p435 :rule ho_cong :premises (@p434 @p126)) % 175.85/176.25 (step @p436 :rule trans :premises (@p435 @p430)) % 175.85/176.25 (step @p437 :rule cong :premises (@p436) :args (@t69)) % 175.85/176.25 (step @p438 :rule trans :premises (@p27 @p437)) % 175.85/176.25 (step @p439 :rule ho_cong :premises (@p438 @p399)) % 175.85/176.25 (step @p440 :rule ho_cong :premises (@p439 @p397)) % 175.85/176.25 (step @p441 :rule refl :args (tptp.s)) % 175.85/176.25 (step @p442 :rule ho_cong :premises (@p396 @p441)) % 175.85/176.25 (step @p443 :rule ho_cong :premises (@p439 @p442)) % 175.85/176.25 (step @p444 :rule beta-reduce :args ((= (_ (lambda @t14 (forall @t37 (or @t112 @t311 @t84))) @t26) @t312))) % 175.85/176.25 (step @p445 :rule refl :args (@t84)) % 175.85/176.25 (step @p446 :rule refl :args (@t389)) % 175.85/176.25 (step @p447 :rule cong :premises (@p446 @p445) :args ((= @t389 @t84))) % 175.85/176.25 (step @p448 :rule symm :premises (@p447)) % 175.85/176.25 (step @p449 :rule eq_resolve :premises (@p446 @p448)) % 175.85/176.25 (step @p450 :rule cong :premises (@p410) :args (@t390)) % 175.85/176.25 (step @p451 :rule nary_cong :premises (@p58 @p450 @p449) :args (@t391)) % 175.85/176.25 (step @p452 :rule cong :premises (@p451) :args ((forall @t37 @t391))) % 175.85/176.25 (step @p453 :rule aci_norm :args ((= (or @t112 @t392) @t391))) % 175.85/176.25 (step @p454 :rule beta-reduce :args ((= @t396 @t392))) % 175.85/176.25 (step @p455 :rule nary_cong :premises (@p72 @p454) :args (@t397)) % 175.85/176.25 (step @p456 :rule trans :premises (@p455 @p453)) % 175.85/176.25 (step @p457 :rule cong :premises (@p456) :args (@t398)) % 175.85/176.25 (step @p458 :rule trans :premises (@p457 @p452)) % 175.85/176.25 (step @p459 :rule cong :premises (@p458) :args (@t399)) % 175.85/176.25 (step @p460 :rule beta-reduce :args ((= (_ @t140 @t395) @t399))) % 175.85/176.25 (step @p461 :rule trans :premises (@p460 @p459)) % 175.85/176.25 (step @p462 :rule beta-reduce :args ((= (_ @t400 @t5) @t395))) % 175.85/176.25 (step @p463 :rule beta-reduce :args ((= (_ @t148 @t1) @t400))) % 175.85/176.25 (step @p464 :rule ho_cong :premises (@p463 @p80)) % 175.85/176.25 (step @p465 :rule trans :premises (@p464 @p462)) % 175.85/176.25 (step @p466 :rule ho_cong :premises (@p81 @p465)) % 175.85/176.25 (step @p467 :rule trans :premises (@p466 @p461)) % 175.85/176.25 (step @p468 :rule ho_cong :premises (@p467 @p126)) % 175.85/176.25 (step @p469 :rule trans :premises (@p468 @p444)) % 175.85/176.25 (step @p470 :rule ho_cong :premises (@p150 @p431)) % 175.85/176.25 (step @p471 :rule ho_cong :premises (@p470 @p80)) % 175.85/176.25 (step @p472 :rule ho_cong :premises (@p122 @p471)) % 175.85/176.25 (step @p473 :rule ho_cong :premises (@p472 @p126)) % 175.85/176.25 (step @p474 :rule trans :premises (@p473 @p469)) % 175.85/176.25 (step @p475 :rule cong :premises (@p474) :args (@t66)) % 175.85/176.25 (step @p476 :rule trans :premises (@p26 @p475)) % 175.85/176.25 (step @p477 :rule ho_cong :premises (@p476 @p443)) % 175.85/176.25 (step @p478 :rule ho_cong :premises (@p477 @p440)) % 175.85/176.25 (step @p479 :rule ho_cong :premises (@p476 @p442)) % 175.85/176.25 (step @p480 :rule ho_cong :premises (@p479 @p397)) % 175.85/176.25 (step @p481 :rule ho_cong :premises (@p439 @p480)) % 175.85/176.25 (step @p482 :rule ho_cong :premises (@p476 @p481)) % 175.85/176.25 (step @p483 :rule ho_cong :premises (@p482 @p478)) % 175.85/176.25 (step @p484 :rule beta-reduce :args ((= (_ @t111 @t18) @t214))) % 175.85/176.25 (step @p485 :rule refl :args (@t18)) % 175.85/176.25 (step @p486 :rule ho_cong :premises (@p160 @p485)) % 175.85/176.25 (step @p487 :rule trans :premises (@p486 @p484)) % 175.85/176.25 (step @p488 :rule cong :premises (@p487) :args (@t71)) % 175.85/176.25 (step @p489 :rule trans :premises (@p28 @p488)) % 175.85/176.25 (step @p490 :rule ho_cong :premises (@p489 @p483)) % 175.85/176.25 (step @p491 :rule cong :premises (@p490) :args (@t12)) % 175.85/176.25 (step @p492 :rule trans :premises (@p491 @p383)) % 175.85/176.25 (step @p493 :rule trans :premises (@p492 @p166)) % 175.85/176.25 (step @p494 :rule eq_resolve :premises (@p5 @p493)) % 175.85/176.25 (step @p495 :rule skolemize :premises (@p494)) % 175.85/176.25 (step @p496 :rule bool-double-not-elim :args (@t403)) % 175.85/176.25 (step @p497 :rule refl :args (@t420)) % 175.85/176.25 (step @p498 :rule nary_cong :premises (@p497 @p496) :args ((or @t420 (not @t419)))) % 175.85/176.25 (step @p499 :rule cnf_or_neg :args (@t420 1)) % 175.85/176.25 (step @p500 :rule eq_resolve :premises (@p499 @p498)) % 175.85/176.25 (step @p501 :rule reordering :premises (@p500) :args ((or @t403 @t420))) % 175.85/176.25 (step @p502 :rule chain_m_resolution :premises (@p501 @p495) :args (@t403 @t421 @t422)) % 175.85/176.25 (step @p503 :rule instantiate :premises (@p502) :args ((@list @t406 @t406 @t404))) % 175.85/176.25 (step @p504 :rule bool-double-not-elim :args (@t425)) % 175.85/176.25 (step @p505 :rule refl :args (@t428)) % 175.85/176.25 (step @p506 :rule nary_cong :premises (@p505 @p504) :args ((or @t428 (not @t427)))) % 175.85/176.25 (step @p507 :rule cnf_or_neg :args (@t428 0)) % 175.85/176.25 (step @p508 :rule eq_resolve :premises (@p507 @p506)) % 175.85/176.25 (step @p509 :rule reordering :premises (@p508) :args ((or @t425 @t428))) % 175.85/176.25 (step @p510 :rule cnf_or_neg :args (@t428 1)) % 175.85/176.25 (step @p511 :rule bool-double-not-elim :args (@t413)) % 175.85/176.25 (step @p512 :rule nary_cong :premises (@p497 @p511) :args ((or @t420 (not @t414)))) % 175.85/176.25 (step @p513 :rule cnf_or_neg :args (@t420 4)) % 175.85/176.25 (step @p514 :rule eq_resolve :premises (@p513 @p512)) % 175.85/176.25 (step @p515 :rule reordering :premises (@p514) :args ((or @t413 @t420))) % 175.85/176.25 (step @p516 :rule chain_m_resolution :premises (@p515 @p495) :args (@t413 @t421 @t422)) % 175.85/176.25 (step @p517 :rule cnf_or_neg :args (@t420 5)) % 175.85/176.25 (step @p518 :rule chain_m_resolution :premises (@p517 @p495) :args ((not @t410) @t421 @t422)) % 175.85/176.25 (step @p519 :rule bool-double-not-elim :args (@t415)) % 175.85/176.25 (step @p520 :rule nary_cong :premises (@p497 @p519) :args ((or @t420 (not @t416)))) % 175.85/176.25 (step @p521 :rule cnf_or_neg :args (@t420 3)) % 175.85/176.25 (step @p522 :rule eq_resolve :premises (@p521 @p520)) % 175.85/176.25 (step @p523 :rule reordering :premises (@p522) :args ((or @t415 @t420))) % 175.85/176.25 (step @p524 :rule chain_m_resolution :premises (@p523 @p495) :args (@t415 @t421 @t422)) % 175.85/176.25 (step @p525 :rule instantiate :premises (@p524) :args ((@list @t406 @t424))) % 175.85/176.25 (step @p526 :rule cnf_or_pos :args (@t429)) % 175.85/176.25 (step @p527 :rule reordering :premises (@p526) :args ((or @t414 @t410 @t427 @t426 (not @t429)))) % 175.85/176.25 (step @p528 :rule chain_m_resolution :premises (@p527 @p525 @p518 @p516 @p510 @p509) :args (@t428 (@list false true false true false) (@list @t429 @t410 @t413 @t426 @t425))) % 175.85/176.25 (step @p529 :rule refl :args (@t430)) % 175.85/176.25 (step @p530 :rule bool-double-not-elim :args (@t423)) % 175.85/176.25 (step @p531 :rule nary_cong :premises (@p530 @p529) :args ((or (not @t431) @t430))) % 175.85/176.25 (assume-push @p640 @t431) % 175.85/176.25 (step @p533 :rule skolemize :premises (@p640)) % 175.85/176.25 (step-pop @p641 :rule scope :premises (@p533)) % 175.85/176.25 (step @p534 :rule process_scope :premises (@p641) :args (@t430)) % 175.85/176.25 (step @p536 :rule implies_elim :premises (@p534)) % 175.85/176.25 (step @p537 :rule eq_resolve :premises (@p536 @p531)) % 175.85/176.25 (step @p538 :rule chain_m_resolution :premises (@p537 @p528) :args (@t423 @t432 (@list @t428))) % 175.85/176.25 ; trust TRUST PREPROCESS_HO_ELIM % 175.85/176.25 (step @p539 :rule trust :premises () :args ((= @t438 @t434))) % 175.85/176.25 (step @p540 :rule quant-merge-prenex :args ((= (forall @t3 (forall @t51 @t437)) @t438))) % 175.85/176.25 (step @p541 :rule refl :args (@t435)) % 175.85/176.25 (step @p542 :rule refl :args (@t439)) % 175.85/176.25 (step @p543 :rule cong :premises (@p542 @p541) :args ((= @t439 @t435))) % 175.85/176.25 (step @p544 :rule symm :premises (@p543)) % 175.85/176.25 (step @p545 :rule eq_resolve :premises (@p542 @p544)) % 175.85/176.25 (step @p546 :rule refl :args (@t436)) % 175.85/176.25 (step @p547 :rule nary_cong :premises (@p546 @p545) :args (@t440)) % 175.85/176.25 (step @p548 :rule cong :premises (@p547) :args ((forall @t51 @t440))) % 175.85/176.25 (step @p549 :rule beta-reduce :args ((= @t444 @t440))) % 175.85/176.25 (step @p550 :rule cong :premises (@p549) :args (@t445)) % 175.85/176.25 (step @p551 :rule trans :premises (@p550 @p548)) % 175.85/176.25 (step @p552 :rule beta-reduce :args ((= (_ @t111 @t443) @t445))) % 175.85/176.25 (step @p553 :rule trans :premises (@p552 @p551)) % 175.85/176.25 (step @p554 :rule beta-reduce :args ((= (_ (lambda @t119 (or @t442 @t118)) @t1) @t443))) % 175.85/176.25 (step @p555 :rule beta-reduce :args ((= @t447 @t441))) % 175.85/176.25 (step @p556 :rule cong :premises (@p555) :args (@t448)) % 175.85/176.25 (step @p557 :rule nary_cong :premises (@p556 @p86) :args (@t449)) % 175.85/176.25 (step @p558 :rule cong :premises (@p557) :args (@t450)) % 175.85/176.25 (step @p559 :rule beta-reduce :args ((= (_ @t148 @t446) @t450))) % 175.85/176.25 (step @p560 :rule trans :premises (@p559 @p558)) % 175.85/176.25 (step @p561 :rule beta-reduce :args ((= (_ @t140 @t1) @t446))) % 175.85/176.25 (step @p562 :rule ho_cong :premises (@p81 @p431)) % 175.85/176.25 (step @p563 :rule trans :premises (@p562 @p561)) % 175.85/176.25 (step @p564 :rule ho_cong :premises (@p93 @p563)) % 175.85/176.25 (step @p565 :rule trans :premises (@p564 @p560)) % 175.85/176.25 (step @p566 :rule ho_cong :premises (@p565 @p431)) % 175.85/176.25 (step @p567 :rule trans :premises (@p566 @p554)) % 175.85/176.25 (step @p568 :rule ho_cong :premises (@p98 @p567)) % 175.85/176.25 (step @p569 :rule trans :premises (@p568 @p553)) % 175.85/176.25 (step @p570 :rule cong :premises (@p569) :args ((forall @t3 (_ @t111 (_ (_ @t148 (_ @t142 @t1)) @t1))))) % 175.85/176.25 (step @p571 :rule trans :premises (@p570 @p540)) % 175.85/176.25 (step @p572 :rule ho_cong :premises (@p122 @p431)) % 175.85/176.25 (step @p573 :rule ho_cong :premises (@p150 @p572)) % 175.85/176.25 (step @p574 :rule ho_cong :premises (@p573 @p431)) % 175.85/176.25 (step @p575 :rule ho_cong :premises (@p160 @p574)) % 175.85/176.25 (step @p576 :rule cong :premises (@p575) :args (@t4)) % 175.85/176.25 (step @p577 :rule trans :premises (@p576 @p571)) % 175.85/176.25 (step @p578 :rule trans :premises (@p577 @p539)) % 175.85/176.25 (step @p579 :rule eq_resolve :premises (@p3 @p578)) % 175.85/176.25 (step @p580 :rule aci_norm :args ((= (or false @t451) @t451))) % 175.85/176.25 (step @p581 :rule refl :args (@t451)) % 175.85/176.25 (step @p582 :rule evaluate :args ((not true))) % 175.85/176.25 (step @p583 :rule quant-unused-vars :args ((= (forall @t37 true) true))) % 175.85/176.25 (step @p584 :rule bool-or-taut2 :args (false @t452 false false)) % 175.85/176.25 (step @p585 :rule cong :premises (@p584) :args (@t453)) % 175.85/176.25 (step @p586 :rule trans :premises (@p585 @p583)) % 175.85/176.25 (step @p587 :rule cong :premises (@p586) :args (@t454)) % 175.85/176.25 (step @p588 :rule trans :premises (@p587 @p582)) % 175.85/176.25 (step @p589 :rule nary_cong :premises (@p588 @p581) :args (@t455)) % 175.85/176.25 (step @p590 :rule trans :premises (@p589 @p580)) % 175.85/176.25 (step @p591 :rule refl :args (@t434)) % 175.85/176.25 (step @p592 :rule cong :premises (@p591 @p590) :args ((=> @t434 @t455))) % 175.85/176.25 (assume-push @p642 @t434) % 175.85/176.25 (step @p594 :rule instantiate :premises (@p579) :args ((@list @t407 @t406))) % 175.85/176.25 (step-pop @p643 :rule scope :premises (@p594)) % 175.85/176.25 (step @p595 :rule process_scope :premises (@p643) :args (@t455)) % 175.85/176.25 (step @p597 :rule eq_resolve :premises (@p595 @p592)) % 175.85/176.25 (step @p598 :rule implies_elim :premises (@p597)) % 175.85/176.25 (step @p599 :rule chain_m_resolution :premises (@p598 @p579) :args (@t451 @t432 (@list @t434))) % 175.85/176.25 (step @p600 :rule cnf_or_neg :args (@t420 7)) % 175.85/176.25 (step @p601 :rule chain_m_resolution :premises (@p600 @p495) :args ((not @t405) @t421 @t422)) % 175.85/176.25 (step @p602 :rule bool-double-not-elim :args (@t408)) % 175.85/176.25 (step @p603 :rule nary_cong :premises (@p497 @p602) :args ((or @t420 (not @t409)))) % 175.85/176.25 (step @p604 :rule cnf_or_neg :args (@t420 6)) % 175.85/176.25 (step @p605 :rule eq_resolve :premises (@p604 @p603)) % 175.85/176.25 (step @p606 :rule reordering :premises (@p605) :args ((or @t408 @t420))) % 175.85/176.25 (step @p607 :rule chain_m_resolution :premises (@p606 @p495) :args (@t408 @t421 @t422)) % 175.85/176.26 (step @p608 :rule cnf_or_pos :args (@t459)) % 175.85/176.26 (step @p609 :rule reordering :premises (@p608) :args ((or @t410 @t409 @t405 @t458 @t456 @t431 (not @t459)))) % 175.85/176.26 (step @p610 :rule chain_m_resolution :premises (@p609 @p518 @p607 @p601 @p599 @p538 @p503) :args (@t458 (@list true false true false false false) (@list @t410 @t408 @t405 @t451 @t423 @t459))) % 175.85/176.26 (step @p611 :rule bool-double-not-elim :args (@t417)) % 175.85/176.26 (step @p612 :rule nary_cong :premises (@p497 @p611) :args ((or @t420 (not @t418)))) % 175.85/176.26 (step @p613 :rule cnf_or_neg :args (@t420 2)) % 175.85/176.26 (step @p614 :rule eq_resolve :premises (@p613 @p612)) % 175.85/176.26 (step @p615 :rule reordering :premises (@p614) :args ((or @t417 @t420))) % 175.85/176.26 (step @p616 :rule chain_m_resolution :premises (@p615 @p495) :args (@t417 @t421 @t422)) % 175.85/176.26 (step @p617 :rule cnf_or_pos :args (@t460)) % 175.85/176.26 (step @p618 :rule reordering :premises (@p617) :args ((or @t418 @t414 @t457 @t461))) % 175.85/176.26 (step @p619 :rule chain_m_resolution :premises (@p618 @p616 @p516 @p610) :args (@t461 (@list false false true) (@list @t417 @t413 @t457))) % 175.85/176.26 (step @p620 :rule aci_norm :args ((= (or false @t418 @t414 @t457) @t460))) % 175.85/176.26 (step @p621 :rule refl :args (@t457)) % 175.85/176.26 (step @p622 :rule refl :args (@t414)) % 175.85/176.26 (step @p623 :rule refl :args (@t418)) % 175.85/176.26 (step @p624 :rule bool-or-taut2 :args (false @t462 false false)) % 175.85/176.26 (step @p625 :rule cong :premises (@p624) :args (@t463)) % 175.85/176.26 (step @p626 :rule trans :premises (@p625 @p583)) % 175.85/176.26 (step @p627 :rule cong :premises (@p626) :args (@t464)) % 175.85/176.26 (step @p628 :rule trans :premises (@p627 @p582)) % 175.85/176.26 (step @p629 :rule nary_cong :premises (@p628 @p623 @p622 @p621) :args (@t465)) % 175.85/176.26 (step @p630 :rule trans :premises (@p629 @p620)) % 175.85/176.26 (step @p631 :rule refl :args (@t80)) % 175.85/176.26 (step @p632 :rule cong :premises (@p631 @p630) :args ((=> @t80 @t465))) % 175.85/176.26 (assume-push @p644 @t80) % 175.85/176.26 (step @p634 :rule instantiate :premises (@p165) :args ((@list @t402 @t401 @t411 @t406))) % 175.85/176.26 (step-pop @p645 :rule scope :premises (@p634)) % 175.85/176.26 (step @p635 :rule process_scope :premises (@p645) :args (@t465)) % 175.85/176.26 (step @p637 :rule eq_resolve :premises (@p635 @p632)) % 175.85/176.26 (step @p638 :rule implies_elim :premises (@p637)) % 175.85/176.26 (step @p639 false :rule chain_m_resolution :premises (@p638 @p619 @p165) :args (false (@list true false) (@list @t460 @t80))) % 175.85/176.26 ) % 175.85/176.26 % SZS output end Proof % 175.85/176.26 % cvc5 exiting %------------------------------------------------------------------------------