%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV426^4 : 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 : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:01:30 AM UTC 2026 % Result : Theorem 0.36s 0.74s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWV426^4 : TPTP v9.2.1. Released v3.6.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n028.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 20:16:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TH0 % 0.36/0.74 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.74 % SZS status Theorem % 0.36/0.74 % SZS output start Proof % 0.36/0.74 ( % 0.36/0.74 (declare-sort $$unsorted 0) % 0.36/0.74 (declare-sort tptp.individuals 0) % 0.36/0.74 (declare-const tptp.rel (-> $$unsorted $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.a (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.b (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.s (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.icl_true (-> $$unsorted Bool)) % 0.36/0.74 (declare-const tptp.icl_false (-> $$unsorted Bool)) % 0.36/0.74 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 0.36/0.74 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 0.36/0.74 (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)))))) % 0.36/0.74 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.36/0.74 (define tptp.mand () (let ((_let_1 (@var "U" $$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))))))) % 0.36/0.74 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.36/0.74 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.36/0.74 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.36/0.74 (define tptp.mdia () (let ((_let_1 (@var "Y" $$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))))))))) % 0.36/0.74 (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))))))) % 0.36/0.74 (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))))))) % 0.36/0.74 (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)))))) % 0.36/0.74 (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)))))) % 0.36/0.74 (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))))))) % 0.36/0.74 (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))))))) % 0.36/0.74 (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))))) % 0.36/0.74 (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))))) % 0.36/0.74 (define tptp.icl_and () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 0.36/0.74 (define tptp.icl_or () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.36/0.74 (define tptp.icl_impl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.rel) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.36/0.74 (define tptp.icl_says () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.36/0.74 (define tptp.iclval () (let ((_let_1 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_1) (_ tptp.mvalid _let_1)))) % 0.36/0.74 (define @t1 () (@var "A" (-> $$unsorted Bool))) % 0.36/0.74 (define @t2 () (_ tptp.mbox tptp.rel)) % 0.36/0.74 (define @t3 () (@list @t1)) % 0.36/0.74 (define @t4 () (forall @t3 (_ tptp.mvalid (_ (_ tptp.mimpl (_ @t2 @t1)) @t1)))) % 0.36/0.74 (define @t5 () (@var "B" (-> $$unsorted Bool))) % 0.36/0.74 (define @t6 () (_ @t2 @t5)) % 0.36/0.74 (define @t7 () (@list @t5)) % 0.36/0.74 (define @t8 () (forall @t7 (_ tptp.mvalid (_ (_ tptp.mimpl @t6) (_ @t2 @t6))))) % 0.36/0.74 (define @t9 () (_ tptp.icl_atom tptp.s)) % 0.36/0.74 (define @t10 () (_ tptp.icl_princ tptp.b)) % 0.36/0.74 (define @t11 () (_ tptp.icl_princ tptp.a)) % 0.36/0.74 (define @t12 () (not (_ tptp.iclval (_ (_ tptp.icl_impl (_ (_ tptp.icl_says (_ (_ tptp.icl_impl @t11) @t10)) @t9)) (_ (_ tptp.icl_impl (_ (_ tptp.icl_says @t11) @t9)) (_ (_ tptp.icl_says @t10) @t9)))))) % 0.36/0.74 (define @t13 () (@var "X" $$unsorted)) % 0.36/0.74 (define @t14 () (@list @t13)) % 0.36/0.74 (define @t15 () (lambda @t14 false)) % 0.36/0.74 (define @t16 () (lambda @t14 true)) % 0.36/0.74 (define @t17 () (@var "U" $$unsorted)) % 0.36/0.74 (define @t18 () (@var "X" (-> $$unsorted Bool))) % 0.36/0.74 (define @t19 () (_ @t18 @t17)) % 0.36/0.74 (define @t20 () (lambda (@list @t18 @t17) (not @t19))) % 0.36/0.74 (define @t21 () (@var "Y" (-> $$unsorted Bool))) % 0.36/0.74 (define @t22 () (_ @t21 @t17)) % 0.36/0.74 (define @t23 () (@list @t18 @t21 @t17)) % 0.36/0.74 (define @t24 () (lambda @t23 (or @t19 @t22))) % 0.36/0.74 (define @t25 () (lambda @t23 (and @t19 @t22))) % 0.36/0.74 (define @t26 () (@var "__flatten_var_0" $$unsorted)) % 0.36/0.74 (define @t27 () (@var "V" (-> $$unsorted Bool))) % 0.36/0.74 (define @t28 () (@var "U" (-> $$unsorted Bool))) % 0.36/0.74 (define @t29 () (@list @t28 @t27 @t26)) % 0.36/0.74 (define @t30 () (lambda @t29 (_ (_ (_ tptp.mor (_ tptp.mnot @t28)) @t27) @t26))) % 0.36/0.74 (define @t31 () (lambda @t29 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t28) @t27)) (_ (_ tptp.mimpl @t27) @t28)) @t26))) % 0.36/0.74 (define @t32 () (@var "Y" $$unsorted)) % 0.36/0.74 (define @t33 () (@var "P" (-> $$unsorted Bool))) % 0.36/0.74 (define @t34 () (_ @t33 @t32)) % 0.36/0.74 (define @t35 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.36/0.74 (define @t36 () (_ (_ @t35 @t13) @t32)) % 0.36/0.74 (define @t37 () (@list @t32)) % 0.36/0.74 (define @t38 () (forall @t37 (=> @t36 @t34))) % 0.36/0.74 (define @t39 () (@list @t35 @t33 @t13)) % 0.36/0.74 (define @t40 () (lambda @t39 @t38)) % 0.36/0.74 (define @t41 () (lambda @t39 (exists @t37 (and @t36 @t34)))) % 0.36/0.74 (define @t42 () (@var "W" $$unsorted)) % 0.36/0.74 (define @t43 () (@var "X" tptp.individuals)) % 0.36/0.74 (define @t44 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 0.36/0.74 (define @t45 () (_ (_ @t44 @t43) @t42)) % 0.36/0.74 (define @t46 () (@list @t43)) % 0.36/0.74 (define @t47 () (@list @t44 @t42)) % 0.36/0.74 (define @t48 () (lambda @t47 (forall @t46 @t45))) % 0.36/0.74 (define @t49 () (lambda @t47 (exists @t46 @t45))) % 0.36/0.74 (define @t50 () (_ @t33 @t42)) % 0.36/0.74 (define @t51 () (@list @t42)) % 0.36/0.74 (define @t52 () (forall @t51 @t50)) % 0.36/0.74 (define @t53 () (@list @t33)) % 0.36/0.74 (define @t54 () (lambda @t53 @t52)) % 0.36/0.74 (define @t55 () (lambda @t53 (exists @t51 @t50))) % 0.36/0.74 (define @t56 () (not @t50)) % 0.36/0.74 (define @t57 () (lambda @t53 (exists @t51 @t56))) % 0.36/0.74 (define @t58 () (lambda @t53 (forall @t51 @t56))) % 0.36/0.74 (define @t59 () (@list @t33 @t26)) % 0.36/0.74 (define @t60 () (lambda @t59 (_ (_ @t2 @t33) @t26))) % 0.36/0.74 (define @t61 () (lambda @t59 (_ @t33 @t26))) % 0.36/0.74 (define @t62 () (@list @t1 @t5 @t26)) % 0.36/0.74 (define @t63 () (lambda @t62 (_ (_ (_ tptp.mand @t1) @t5) @t26))) % 0.36/0.74 (define @t64 () (_ tptp.mor @t1)) % 0.36/0.74 (define @t65 () (lambda @t62 (_ (_ @t64 @t5) @t26))) % 0.36/0.74 (define @t66 () (lambda @t62 (_ (_ @t2 (_ (_ tptp.mimpl @t1) @t5)) @t26))) % 0.36/0.74 (define @t67 () (@var "S" (-> $$unsorted Bool))) % 0.36/0.74 (define @t68 () (@list @t1 @t67 @t26)) % 0.36/0.74 (define @t69 () (lambda @t68 (_ (_ @t2 (_ @t64 @t67)) @t26))) % 0.36/0.74 (define @t70 () (@list @t18)) % 0.36/0.74 (define @t71 () (lambda @t70 (_ tptp.mvalid @t18))) % 0.36/0.74 (define @t72 () (@var "BOUND_VARIABLE_8468" $$unsorted)) % 0.36/0.74 (define @t73 () (tptp.s @t72)) % 0.36/0.74 (define @t74 () (@var "BOUND_VARIABLE_8466" $$unsorted)) % 0.36/0.74 (define @t75 () (not (tptp.rel @t74 @t72))) % 0.36/0.74 (define @t76 () (tptp.b @t74)) % 0.36/0.74 (define @t77 () (@var "BOUND_VARIABLE_8464" $$unsorted)) % 0.36/0.74 (define @t78 () (not (tptp.rel @t77 @t74))) % 0.36/0.74 (define @t79 () (@var "BOUND_VARIABLE_8330" $$unsorted)) % 0.36/0.74 (define @t80 () (tptp.s @t79)) % 0.36/0.74 (define @t81 () (@var "BOUND_VARIABLE_8348" $$unsorted)) % 0.36/0.74 (define @t82 () (not (tptp.rel @t81 @t79))) % 0.36/0.74 (define @t83 () (tptp.a @t81)) % 0.36/0.74 (define @t84 () (@list @t81 @t79)) % 0.36/0.74 (define @t85 () (not (forall @t84 (or (not (tptp.rel @t77 @t81)) @t83 @t82 @t80)))) % 0.36/0.74 (define @t86 () (not (tptp.rel @t32 @t77))) % 0.36/0.74 (define @t87 () (@var "BOUND_VARIABLE_8274" $$unsorted)) % 0.36/0.74 (define @t88 () (tptp.s @t87)) % 0.36/0.74 (define @t89 () (@var "BOUND_VARIABLE_8292" $$unsorted)) % 0.36/0.74 (define @t90 () (not (tptp.rel @t89 @t87))) % 0.36/0.74 (define @t91 () (@var "BOUND_VARIABLE_8234" $$unsorted)) % 0.36/0.74 (define @t92 () (tptp.b @t91)) % 0.36/0.74 (define @t93 () (not (tptp.a @t91))) % 0.36/0.74 (define @t94 () (not (tptp.rel @t89 @t91))) % 0.36/0.74 (define @t95 () (@list @t89 @t91 @t87)) % 0.36/0.74 (define @t96 () (forall @t95 (or (not (tptp.rel @t32 @t89)) @t94 @t93 @t92 @t90 @t88))) % 0.36/0.74 (define @t97 () (not @t96)) % 0.36/0.74 (define @t98 () (not (tptp.rel @t42 @t32))) % 0.36/0.74 (define @t99 () (or @t98 @t97 @t86 @t85 @t78 @t76 @t75 @t73)) % 0.36/0.74 (define @t100 () (forall (@list @t42 @t32 @t77 @t74 @t72) @t99)) % 0.36/0.74 (define @t101 () (@quantifiers_skolemize @t100 2)) % 0.36/0.74 (define @t102 () (tptp.rel @t101 @t32)) % 0.36/0.74 (define @t103 () (@quantifiers_skolemize @t100 3)) % 0.36/0.74 (define @t104 () (forall @t37 (or (not (tptp.rel @t103 @t32)) @t102))) % 0.36/0.74 (define @t105 () (@quantifiers_skolemize @t104 0)) % 0.36/0.74 (define @t106 () (tptp.rel @t103 @t105)) % 0.36/0.74 (define @t107 () (tptp.rel @t101 @t105)) % 0.36/0.74 (define @t108 () (not @t106)) % 0.36/0.74 (define @t109 () (or @t108 @t107)) % 0.36/0.74 (define @t110 () (@list @t32 @t77 @t74 @t72)) % 0.36/0.74 (define @t111 () (forall @t110 @t99)) % 0.36/0.74 (define @t112 () (not (tptp.rel @t26 @t32))) % 0.36/0.74 (define @t113 () (or @t112 @t97 @t86 @t85 @t78 @t76 @t75 @t73)) % 0.36/0.74 (define @t114 () (@list @t26)) % 0.36/0.74 (define @t115 () (lambda @t114 (forall @t110 @t113))) % 0.36/0.74 (define @t116 () (_ @t115 @t42)) % 0.36/0.74 (define @t117 () (forall @t51 @t116)) % 0.36/0.74 (define @t118 () (forall @t51 (_ @t18 @t42))) % 0.36/0.74 (define @t119 () (lambda @t70 @t118)) % 0.36/0.74 (define @t120 () (or @t86 @t85 @t78 @t76 @t75 @t73)) % 0.36/0.74 (define @t121 () (or @t112 @t97 @t120)) % 0.36/0.74 (define @t122 () (forall @t110 @t121)) % 0.36/0.74 (define @t123 () (@list @t77 @t74 @t72)) % 0.36/0.74 (define @t124 () (forall @t123 @t121)) % 0.36/0.74 (define @t125 () (forall @t123 @t120)) % 0.36/0.74 (define @t126 () (@var "BOUND_VARIABLE_8422" $$unsorted)) % 0.36/0.74 (define @t127 () (@var "BOUND_VARIABLE_8420" $$unsorted)) % 0.36/0.74 (define @t128 () (@var "BOUND_VARIABLE_8442" $$unsorted)) % 0.36/0.74 (define @t129 () (or @t112 @t97 @t125)) % 0.36/0.74 (define @t130 () (tptp.s @t126)) % 0.36/0.74 (define @t131 () (not (tptp.rel @t127 @t126))) % 0.36/0.74 (define @t132 () (tptp.b @t127)) % 0.36/0.74 (define @t133 () (not (tptp.rel @t128 @t127))) % 0.36/0.74 (define @t134 () (not (forall @t84 (or (not (tptp.rel @t128 @t81)) @t83 @t82 @t80)))) % 0.36/0.74 (define @t135 () (@list @t128 @t127 @t126)) % 0.36/0.74 (define @t136 () (forall @t135 (or (not (tptp.rel @t32 @t128)) @t134 @t133 @t132 @t131 @t130))) % 0.36/0.74 (define @t137 () (not (tptp.rel @t32 @t127))) % 0.36/0.74 (define @t138 () (forall @t84 (or (not (tptp.rel @t32 @t81)) @t83 @t82 @t80))) % 0.36/0.74 (define @t139 () (not @t138)) % 0.36/0.74 (define @t140 () (or @t112 @t139 @t137 @t132 @t131 @t130)) % 0.36/0.74 (define @t141 () (@list @t32 @t127 @t126)) % 0.36/0.74 (define @t142 () (forall @t141 @t140)) % 0.36/0.74 (define @t143 () (@list @t32)) % 0.36/0.74 (define @t144 () (lambda @t114 @t142)) % 0.36/0.74 (define @t145 () (or @t112 @t97 (_ @t144 @t32))) % 0.36/0.74 (define @t146 () (forall @t37 @t145)) % 0.36/0.74 (define @t147 () (lambda @t114 @t146)) % 0.36/0.74 (define @t148 () (_ @t5 @t32)) % 0.36/0.74 (define @t149 () (@list @t5 @t26)) % 0.36/0.74 (define @t150 () (or @t137 @t132 @t131 @t130)) % 0.36/0.74 (define @t151 () (or @t112 @t139 @t150)) % 0.36/0.74 (define @t152 () (forall @t141 @t151)) % 0.36/0.74 (define @t153 () (@list @t127 @t126)) % 0.36/0.74 (define @t154 () (forall @t153 @t151)) % 0.36/0.74 (define @t155 () (forall @t153 @t150)) % 0.36/0.74 (define @t156 () (@var "BOUND_VARIABLE_8385" $$unsorted)) % 0.36/0.74 (define @t157 () (@var "BOUND_VARIABLE_8402" $$unsorted)) % 0.36/0.74 (define @t158 () (or @t112 @t139 @t155)) % 0.36/0.74 (define @t159 () (tptp.s @t156)) % 0.36/0.74 (define @t160 () (not (tptp.rel @t157 @t156))) % 0.36/0.74 (define @t161 () (tptp.b @t157)) % 0.36/0.74 (define @t162 () (@list @t157 @t156)) % 0.36/0.74 (define @t163 () (forall @t162 (or (not (tptp.rel @t32 @t157)) @t161 @t160 @t159))) % 0.36/0.74 (define @t164 () (not (tptp.rel @t32 @t156))) % 0.36/0.74 (define @t165 () (tptp.b @t32)) % 0.36/0.74 (define @t166 () (or @t112 @t165 @t164 @t159)) % 0.36/0.74 (define @t167 () (@list @t32 @t156)) % 0.36/0.74 (define @t168 () (forall @t167 @t166)) % 0.36/0.74 (define @t169 () (lambda @t114 @t168)) % 0.36/0.74 (define @t170 () (or @t112 @t139 (_ @t169 @t32))) % 0.36/0.74 (define @t171 () (forall @t37 @t170)) % 0.36/0.74 (define @t172 () (lambda @t114 @t171)) % 0.36/0.74 (define @t173 () (or @t164 @t159)) % 0.36/0.74 (define @t174 () (or @t112 @t165 @t173)) % 0.36/0.74 (define @t175 () (forall @t167 @t174)) % 0.36/0.74 (define @t176 () (@list @t156)) % 0.36/0.74 (define @t177 () (forall @t176 @t174)) % 0.36/0.74 (define @t178 () (forall @t176 @t173)) % 0.36/0.74 (define @t179 () (@var "BOUND_VARIABLE_8258" $$unsorted)) % 0.36/0.74 (define @t180 () (@list @t179)) % 0.36/0.74 (define @t181 () (or @t112 @t165 @t178)) % 0.36/0.74 (define @t182 () (tptp.s @t179)) % 0.36/0.74 (define @t183 () (@list @t179)) % 0.36/0.74 (define @t184 () (forall @t183 (or (not (tptp.rel @t32 @t179)) @t182))) % 0.36/0.74 (define @t185 () (tptp.s @t32)) % 0.36/0.74 (define @t186 () (forall @t37 (or @t112 @t185))) % 0.36/0.74 (define @t187 () (lambda @t114 @t186)) % 0.36/0.74 (define @t188 () (_ @t187 @t32)) % 0.36/0.74 (define @t189 () (or @t112 @t165 @t188)) % 0.36/0.74 (define @t190 () (forall @t37 @t189)) % 0.36/0.74 (define @t191 () (lambda @t114 @t190)) % 0.36/0.74 (define @t192 () (_ @t67 @t32)) % 0.36/0.74 (define @t193 () (@list @t67 @t26)) % 0.36/0.74 (define @t194 () (_ @t33 @t32)) % 0.36/0.74 (define @t195 () (forall @t37 (or @t112 @t194))) % 0.36/0.74 (define @t196 () (_ (lambda @t59 @t195) tptp.s)) % 0.36/0.74 (define @t197 () (_ tptp.b @t32)) % 0.36/0.74 (define @t198 () (or @t112 @t197 @t192)) % 0.36/0.74 (define @t199 () (lambda @t114 (_ tptp.b @t26))) % 0.36/0.74 (define @t200 () (_ @t199 @t32)) % 0.36/0.74 (define @t201 () (or @t112 @t200 @t192)) % 0.36/0.74 (define @t202 () (forall @t37 @t201)) % 0.36/0.74 (define @t203 () (lambda @t193 @t202)) % 0.36/0.74 (define @t204 () (_ @t1 @t32)) % 0.36/0.74 (define @t205 () (forall @t37 (or @t112 @t204 @t192))) % 0.36/0.74 (define @t206 () (lambda @t68 @t205)) % 0.36/0.74 (define @t207 () (_ @t61 tptp.b)) % 0.36/0.74 (define @t208 () (not (tptp.rel @t32 @t79))) % 0.36/0.74 (define @t209 () (tptp.a @t32)) % 0.36/0.74 (define @t210 () (or @t112 @t209 @t208 @t80)) % 0.36/0.74 (define @t211 () (@list @t32 @t79)) % 0.36/0.74 (define @t212 () (forall @t211 @t210)) % 0.36/0.74 (define @t213 () (lambda @t114 @t212)) % 0.36/0.74 (define @t214 () (not (_ @t213 @t32))) % 0.36/0.74 (define @t215 () (or @t112 @t214 @t148)) % 0.36/0.74 (define @t216 () (forall @t37 @t215)) % 0.36/0.74 (define @t217 () (lambda @t149 @t216)) % 0.36/0.74 (define @t218 () (not @t204)) % 0.36/0.74 (define @t219 () (forall @t37 (or @t112 @t218 @t148))) % 0.36/0.74 (define @t220 () (lambda @t62 @t219)) % 0.36/0.74 (define @t221 () (or @t208 @t80)) % 0.36/0.74 (define @t222 () (or @t112 @t209 @t221)) % 0.36/0.74 (define @t223 () (forall @t211 @t222)) % 0.36/0.74 (define @t224 () (@list @t79)) % 0.36/0.74 (define @t225 () (forall @t224 @t222)) % 0.36/0.74 (define @t226 () (forall @t224 @t221)) % 0.36/0.74 (define @t227 () (or @t112 @t209 @t226)) % 0.36/0.74 (define @t228 () (or @t112 @t209 @t188)) % 0.36/0.74 (define @t229 () (forall @t37 @t228)) % 0.36/0.74 (define @t230 () (lambda @t114 @t229)) % 0.36/0.74 (define @t231 () (_ tptp.a @t32)) % 0.36/0.74 (define @t232 () (or @t112 @t231 @t192)) % 0.36/0.74 (define @t233 () (lambda @t114 (_ tptp.a @t26))) % 0.36/0.74 (define @t234 () (_ @t233 @t32)) % 0.36/0.74 (define @t235 () (or @t112 @t234 @t192)) % 0.36/0.74 (define @t236 () (forall @t37 @t235)) % 0.36/0.74 (define @t237 () (lambda @t193 @t236)) % 0.36/0.74 (define @t238 () (_ @t61 tptp.a)) % 0.36/0.74 (define @t239 () (not (tptp.rel @t32 @t87))) % 0.36/0.74 (define @t240 () (not (tptp.rel @t32 @t91))) 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@t258)) % 0.36/0.74 (define @t260 () (or @t112 @t192 @t240 @t93 @t92)) % 0.36/0.74 (define @t261 () (or @t240 @t93 @t92)) % 0.36/0.74 (define @t262 () (or @t112 @t261 @t192)) % 0.36/0.74 (define @t263 () (forall @t254 @t262)) % 0.36/0.74 (define @t264 () (@list @t91)) % 0.36/0.74 (define @t265 () (forall @t264 @t262)) % 0.36/0.74 (define @t266 () (forall @t264 @t261)) % 0.36/0.74 (define @t267 () (@var "BOUND_VARIABLE_8216" $$unsorted)) % 0.36/0.74 (define @t268 () (@list @t267)) % 0.36/0.74 (define @t269 () (or @t112 @t266 @t192)) % 0.36/0.74 (define @t270 () (tptp.b @t267)) % 0.36/0.74 (define @t271 () (not (tptp.a @t267))) % 0.36/0.74 (define @t272 () (@list @t267)) % 0.36/0.74 (define @t273 () (forall @t272 (or (not (tptp.rel @t32 @t267)) @t271 @t270))) % 0.36/0.74 (define @t274 () (not @t209)) % 0.36/0.74 (define @t275 () (forall @t37 (or @t112 @t274 @t165))) % 0.36/0.74 (define @t276 () (lambda @t114 @t275)) % 0.36/0.74 (define @t277 () (or @t112 (_ @t276 @t32) @t192)) % 0.36/0.74 (define @t278 () (forall @t37 @t277)) % 0.36/0.74 (define @t279 () (lambda @t193 @t278)) % 0.36/0.74 (define @t280 () (or @t112 @t274 @t197)) % 0.36/0.74 (define @t281 () (or @t112 @t274 @t200)) % 0.36/0.74 (define @t282 () (forall @t37 @t281)) % 0.36/0.74 (define @t283 () (lambda @t114 @t282)) % 0.36/0.74 (define @t284 () (not @t231)) % 0.36/0.74 (define @t285 () (or @t112 @t284 @t148)) % 0.36/0.74 (define @t286 () (not @t234)) % 0.36/0.74 (define @t287 () (or @t112 @t286 @t148)) % 0.36/0.74 (define @t288 () (forall @t37 @t287)) % 0.36/0.74 (define @t289 () (lambda @t149 @t288)) % 0.36/0.74 (define @t290 () (not (tptp.rel @t13 @t32))) % 0.36/0.74 (define @t291 () (forall @t37 (or @t290 @t194))) % 0.36/0.74 (define @t292 () (lambda @t14 @t291)) % 0.36/0.74 (define @t293 () (lambda (@list @t33 @t13) @t291)) % 0.36/0.74 (define @t294 () (_ @t35 @t13 @t32)) % 0.36/0.74 (define @t295 () (_ (lambda @t39 (forall @t37 (or (not @t294) @t194))) tptp.rel)) % 0.36/0.74 (define @t296 () (not @t36)) % 0.36/0.74 (define @t297 () (or @t296 @t34)) % 0.36/0.74 (define @t298 () (_ @t67 @t32)) % 0.36/0.74 (define @t299 () (_ @t1 @t32)) % 0.36/0.74 (define @t300 () (or @t290 @t299 @t298)) % 0.36/0.74 (define @t301 () (or @t299 @t298)) % 0.36/0.74 (define @t302 () (_ @t1 @t17)) % 0.36/0.74 (define @t303 () (@list @t17)) % 0.36/0.74 (define @t304 () (lambda @t303 (or @t302 (_ @t67 @t17)))) % 0.36/0.74 (define @t305 () (_ @t304 @t32)) % 0.36/0.74 (define @t306 () (or @t290 @t305)) % 0.36/0.74 (define @t307 () (forall @t37 @t306)) % 0.36/0.74 (define @t308 () (lambda @t14 @t307)) % 0.36/0.74 (define @t309 () (@list @t21 @t17)) % 0.36/0.74 (define @t310 () (lambda @t309 (or @t302 @t22))) % 0.36/0.74 (define @t311 () (_ @t5 @t32)) % 0.36/0.74 (define @t312 () (not @t299)) % 0.36/0.74 (define @t313 () (or @t290 @t312 @t311)) % 0.36/0.74 (define @t314 () (or @t312 @t311)) % 0.36/0.74 (define @t315 () (_ @t1 @t26)) % 0.36/0.74 (define @t316 () (not @t315)) % 0.36/0.74 (define @t317 () (lambda @t114 (or @t316 (_ @t5 @t26)))) % 0.36/0.74 (define @t318 () (_ @t317 @t32)) % 0.36/0.74 (define @t319 () (or @t290 @t318)) % 0.36/0.74 (define @t320 () (forall @t37 @t319)) % 0.36/0.74 (define @t321 () (lambda @t14 @t320)) % 0.36/0.74 (define @t322 () (_ @t27 @t26)) % 0.36/0.74 (define @t323 () (@list @t27 @t26)) % 0.36/0.74 (define @t324 () (lambda @t323 (or @t316 @t322))) % 0.36/0.74 (define @t325 () (or (not (_ @t28 @t26)) @t322)) % 0.36/0.74 (define @t326 () (lambda @t29 @t325)) % 0.36/0.74 (define @t327 () (not (_ @t28 @t17))) % 0.36/0.74 (define @t328 () (lambda @t303 (or @t327 (_ @t27 @t17)))) % 0.36/0.74 (define @t329 () (lambda @t303 @t327)) % 0.36/0.74 (define @t330 () (_ @t329 @t17)) % 0.36/0.74 (define @t331 () (or @t330 @t22)) % 0.36/0.74 (define @t332 () (lambda @t309 @t331)) % 0.36/0.74 (define @t333 () (_ @t33 @t42)) % 0.36/0.74 (define @t334 () (lambda @t53 (forall @t51 @t333))) % 0.36/0.74 (define @t335 () (tptp.rel @t101 @t103)) % 0.36/0.74 (define @t336 () (@quantifiers_skolemize @t100 4)) % 0.36/0.74 (define @t337 () (tptp.s @t336)) % 0.36/0.74 (define @t338 () (tptp.rel @t103 @t336)) % 0.36/0.74 (define @t339 () (not @t338)) % 0.36/0.74 (define @t340 () (tptp.b @t103)) % 0.36/0.74 (define @t341 () (not @t335)) % 0.36/0.74 (define @t342 () (forall @t84 (or (not (tptp.rel @t101 @t81)) @t83 @t82 @t80))) % 0.36/0.74 (define @t343 () (not @t342)) % 0.36/0.74 (define @t344 () (@quantifiers_skolemize @t100 1)) % 0.36/0.74 (define @t345 () (tptp.rel @t344 @t101)) % 0.36/0.74 (define @t346 () (not @t345)) % 0.36/0.74 (define @t347 () (forall @t95 (or (not (tptp.rel @t344 @t89)) @t94 @t93 @t92 @t90 @t88))) % 0.36/0.74 (define @t348 () (not @t347)) % 0.36/0.74 (define @t349 () (or (not (tptp.rel (@quantifiers_skolemize @t100 0) @t344)) @t348 @t346 @t343 @t341 @t340 @t339 @t337)) % 0.36/0.74 (define @t350 () (@list true)) % 0.36/0.74 (define @t351 () (@list @t349)) % 0.36/0.74 (define @t352 () (@var "BOUND_VARIABLE_8144" $$unsorted)) % 0.36/0.74 (define @t353 () (_ @t5 @t352)) % 0.36/0.74 (define @t354 () (@var "BOUND_VARIABLE_8142" $$unsorted)) % 0.36/0.74 (define @t355 () (not (tptp.rel @t354 @t352))) % 0.36/0.74 (define @t356 () (not (tptp.rel @t42 @t354))) % 0.36/0.74 (define @t357 () (not (forall @t37 (or @t98 @t148)))) % 0.36/0.74 (define @t358 () (or @t357 @t356 @t355 @t353)) % 0.36/0.74 (define @t359 () (forall (@list @t5 @t42 @t354 @t352) @t358)) % 0.36/0.74 (define @t360 () (@list @t42 @t354 @t352)) % 0.36/0.74 (define @t361 () (or @t356 @t355 @t353)) % 0.36/0.74 (define @t362 () (or @t357 @t361)) % 0.36/0.74 (define @t363 () (forall @t360 @t362)) % 0.36/0.74 (define @t364 () (@list @t354 @t352)) % 0.36/0.74 (define @t365 () (forall @t364 @t362)) % 0.36/0.74 (define @t366 () (forall @t364 @t361)) % 0.36/0.74 (define @t367 () (@var "BOUND_VARIABLE_8111" $$unsorted)) % 0.36/0.74 (define @t368 () (or @t357 @t366)) % 0.36/0.74 (define @t369 () (_ @t5 @t367)) % 0.36/0.74 (define @t370 () (not (tptp.rel @t32 @t367))) % 0.36/0.74 (define @t371 () (@list @t32 @t367)) % 0.36/0.74 (define @t372 () (or @t357 (forall @t371 (or @t98 @t370 @t369)))) % 0.36/0.74 (define @t373 () (forall @t371 (or @t112 @t370 @t369))) % 0.36/0.74 (define @t374 () (forall @t37 (or @t112 @t148))) % 0.36/0.74 (define @t375 () (not @t374)) % 0.36/0.74 (define @t376 () (lambda @t114 (or @t375 @t373))) % 0.36/0.74 (define @t377 () (_ @t376 @t42)) % 0.36/0.74 (define @t378 () (forall @t51 @t377)) % 0.36/0.74 (define @t379 () (or @t290 @t370 @t369)) % 0.36/0.74 (define @t380 () (lambda @t14 (forall @t371 @t379))) % 0.36/0.74 (define @t381 () (_ @t380 @t26)) % 0.36/0.74 (define @t382 () (or @t375 @t381)) % 0.36/0.74 (define @t383 () (lambda @t114 @t382)) % 0.36/0.74 (define @t384 () (or @t370 @t369)) % 0.36/0.74 (define @t385 () (or @t290 @t384)) % 0.36/0.74 (define @t386 () (forall @t371 @t385)) % 0.36/0.74 (define @t387 () (@list @t367)) % 0.36/0.74 (define @t388 () (forall @t387 @t385)) % 0.36/0.74 (define @t389 () (forall @t387 @t384)) % 0.36/0.74 (define @t390 () (@var "BOUND_VARIABLE_8095" $$unsorted)) % 0.36/0.74 (define @t391 () (@list @t390)) % 0.36/0.74 (define @t392 () (or @t290 @t389)) % 0.36/0.74 (define @t393 () (_ @t5 @t390)) % 0.36/0.74 (define @t394 () (@list @t390)) % 0.36/0.74 (define @t395 () (forall @t394 (or (not (tptp.rel @t32 @t390)) @t393))) % 0.36/0.74 (define @t396 () (forall @t37 (or @t290 @t148))) % 0.36/0.74 (define @t397 () (lambda @t14 @t396)) % 0.36/0.74 (define @t398 () (or @t290 (_ @t397 @t32))) % 0.36/0.74 (define @t399 () (forall @t37 @t398)) % 0.36/0.74 (define @t400 () (lambda @t14 @t399)) % 0.36/0.74 (define @t401 () (_ @t397 @t26)) % 0.36/0.74 (define @t402 () (not @t401)) % 0.36/0.74 (define @t403 () (or @t402 @t322)) % 0.36/0.74 (define @t404 () (lambda @t323 @t403)) % 0.36/0.74 (define @t405 () (_ @t295 @t5)) % 0.36/0.74 (define @t406 () (_ tptp.rel @t101)) % 0.36/0.74 (define @t407 () (_ @t406 @t105)) % 0.36/0.74 (define @t408 () (or @t341 @t108 @t407)) % 0.36/0.74 (define @t409 () (_ @t406 @t105)) % 0.36/0.74 (define @t410 () (not @t102)) % 0.36/0.74 (define @t411 () (_ @t406 @t32)) % 0.36/0.74 (define @t412 () (or @t410 @t411)) % 0.36/0.74 (define @t413 () (_ @t406 @t32)) % 0.36/0.74 (define @t414 () (or @t410 @t413)) % 0.36/0.74 (define @t415 () (forall @t37 @t414)) % 0.36/0.74 (define @t416 () (not @t415)) % 0.36/0.74 (define @t417 () (or @t416 @t341 @t108 @t409)) % 0.36/0.74 (define @t418 () (or @t341 @t108 @t107)) % 0.36/0.74 (define @t419 () (@list false)) % 0.36/0.74 (define @t420 () (@list false false true false)) % 0.36/0.74 (define @t421 () (not @t109)) % 0.36/0.74 (define @t422 () (not @t104)) % 0.36/0.74 (define @t423 () (forall @t37 (or @t410 @t185))) % 0.36/0.74 (define @t424 () (@quantifiers_skolemize @t423 0)) % 0.36/0.74 (define @t425 () (tptp.rel @t101 @t424)) % 0.36/0.74 (define @t426 () (tptp.s @t424)) % 0.36/0.74 (define @t427 () (not @t425)) % 0.36/0.74 (define @t428 () (or @t427 @t426)) % 0.36/0.74 (define @t429 () (tptp.a @t103)) % 0.36/0.74 (define @t430 () (or @t341 @t429 @t339 @t337)) % 0.36/0.74 (define @t431 () (not @t429)) % 0.36/0.74 (define @t432 () (or @t346 @t341 @t431 @t340 @t427 @t426)) % 0.36/0.74 (define @t433 () (not @t428)) % 0.36/0.74 (define @t434 () (not @t423)) % 0.36/0.74 (define @t435 () (_ @t1 @t42)) % 0.36/0.74 (define @t436 () (not (forall @t37 (or @t98 @t204)))) % 0.36/0.74 (define @t437 () (or @t436 @t435)) % 0.36/0.74 (define @t438 () (forall (@list @t1 @t42) @t437)) % 0.36/0.74 (define @t439 () (_ @t1 @t42)) % 0.36/0.74 (define @t440 () (or @t436 @t439)) % 0.36/0.74 (define @t441 () (forall @t37 (or @t112 @t204))) % 0.36/0.74 (define @t442 () (not @t441)) % 0.36/0.74 (define @t443 () (lambda @t114 (or @t442 @t315))) % 0.36/0.74 (define @t444 () (_ @t443 @t42)) % 0.36/0.74 (define @t445 () (forall @t51 @t444)) % 0.36/0.74 (define @t446 () (lambda @t14 (forall @t37 (or @t290 @t204)))) % 0.36/0.74 (define @t447 () (_ @t446 @t26)) % 0.36/0.74 (define @t448 () (not @t447)) % 0.36/0.74 (define @t449 () (or @t448 @t322)) % 0.36/0.74 (define @t450 () (lambda @t323 @t449)) % 0.36/0.74 (define @t451 () (tptp.rel @t101 @t101)) % 0.36/0.74 (define @t452 () (_ @t406 @t101)) % 0.36/0.74 (define @t453 () (_ @t406 @t101)) % 0.36/0.74 (define @t454 () (or @t416 @t453)) % 0.36/0.74 (define @t455 () (tptp.rel @t101 @t336)) % 0.36/0.74 (define @t456 () (not @t455)) % 0.36/0.74 (define @t457 () (not @t451)) % 0.36/0.74 (define @t458 () (or @t434 @t457 @t456 @t337)) % 0.36/0.74 (define @t459 () (or @t339 @t455)) % 0.36/0.74 (define @t460 () (not @t459)) % 0.36/0.74 (assume @p1 (= tptp.icl_true tptp.mtrue)) % 0.36/0.74 (assume @p2 (= tptp.icl_false tptp.mfalse)) % 0.36/0.74 (assume @p3 @t4) % 0.36/0.74 (assume @p4 @t8) % 0.36/0.74 (assume @p5 @t12) % 0.36/0.74 (assume @p6 true) % 0.36/0.74 (step @p7 (= tptp.mfalse @t15) :rule refl :args (@t15)) % 0.36/0.74 (step @p8 (= tptp.mtrue @t16) :rule refl :args (@t16)) % 0.36/0.74 (step @p9 (= tptp.mnot @t20) :rule refl :args 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(step @p24 (= tptp.icl_and @t63) :rule refl :args (@t63)) % 0.36/0.74 (step @p25 (= tptp.icl_or @t65) :rule refl :args (@t65)) % 0.36/0.74 (step @p26 (= tptp.icl_impl @t66) :rule refl :args (@t66)) % 0.36/0.74 (step @p27 (= tptp.icl_says @t69) :rule refl :args (@t69)) % 0.36/0.74 (step @p28 (= tptp.iclval @t71) :rule refl :args (@t71)) % 0.36/0.74 (step @p29 :rule bool-double-not-elim :args (@t106)) % 0.36/0.74 (step @p30 :rule refl :args (@t109)) % 0.36/0.74 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t109 (not @t108)))) % 0.36/0.74 (step @p32 :rule cnf_or_neg :args (@t109 0)) % 0.36/0.74 (step @p33 :rule eq_resolve :premises (@p32 @p31)) % 0.36/0.74 (step @p34 :rule reordering :premises (@p33) :args ((or @t106 @t109))) % 0.36/0.74 (step @p35 :rule cnf_or_neg :args (@t109 1)) % 0.36/0.74 (step @p36 :rule quant-merge-prenex :args ((= (forall @t51 @t111) @t100))) % 0.36/0.74 (step @p37 :rule beta-reduce :args ((= @t116 @t111))) % 0.36/0.74 (step @p38 :rule cong 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@t136)))) % 0.36/0.74 (step @p53 :rule trans :premises (@p52 @p44)) % 0.36/0.74 (step @p54 :rule trans :premises (@p53 @p43)) % 0.36/0.74 (step @p55 :rule beta-reduce :args ((= (_ (lambda @t114 (forall @t135 (or (not (tptp.rel @t26 @t128)) @t134 @t133 @t132 @t131 @t130))) @t32) @t136))) % 0.36/0.74 (step @p56 :rule refl :args (@t32)) % 0.36/0.74 (step @p57 :rule alpha_equiv :args (@t142 @t143 (@list @t128))) % 0.36/0.74 (step @p58 :rule cong :premises (@p57) :args (@t144)) % 0.36/0.74 (step @p59 :rule ho_cong :premises (@p58 @p56)) % 0.36/0.74 (step @p60 :rule trans :premises (@p59 @p55)) % 0.36/0.74 (step @p61 :rule refl :args (@t97)) % 0.36/0.74 (step @p62 :rule refl :args (@t112)) % 0.36/0.74 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60) :args (@t145)) % 0.36/0.74 (step @p64 :rule cong :premises (@p63) :args (@t146)) % 0.36/0.74 (step @p65 :rule trans :premises (@p64 @p54)) % 0.36/0.74 (step @p66 :rule cong :premises (@p65) :args (@t147)) % 0.36/0.74 (step @p67 :rule beta-reduce :args ((= (_ (lambda @t149 (forall @t37 (or @t112 @t97 @t148))) @t144) @t147))) % 0.36/0.74 (step @p68 :rule trans :premises (@p67 @p66)) % 0.36/0.74 (step @p69 :rule aci_norm :args ((= @t151 @t140))) % 0.36/0.74 (step @p70 :rule cong :premises (@p69) :args (@t152)) % 0.36/0.74 (step @p71 :rule quant-merge-prenex :args ((= (forall @t37 @t154) @t152))) % 0.36/0.74 (step @p72 :rule alpha_equiv :args (@t155 (@list @t127 @t126) (@list @t157 @t156))) % 0.36/0.74 (step @p73 :rule refl :args (@t139)) % 0.36/0.74 (step @p74 :rule nary_cong :premises (@p47 @p73 @p72) :args (@t158)) % 0.36/0.74 (step @p75 :rule quant-miniscope-or :args ((= @t154 @t158))) % 0.36/0.74 (step @p76 :rule trans :premises (@p75 @p74)) % 0.36/0.74 (step @p77 :rule symm :premises (@p76)) % 0.36/0.74 (step @p78 :rule cong :premises (@p77) :args ((forall @t37 (or @t112 @t139 @t163)))) % 0.36/0.74 (step @p79 :rule trans :premises (@p78 @p71)) % 0.36/0.74 (step @p80 :rule trans :premises (@p79 @p70)) % 0.36/0.74 (step @p81 :rule beta-reduce :args ((= (_ (lambda @t114 (forall @t162 (or (not (tptp.rel @t26 @t157)) @t161 @t160 @t159))) @t32) @t163))) % 0.36/0.74 (step @p82 :rule alpha_equiv :args (@t168 @t143 (@list @t157))) % 0.36/0.74 (step @p83 :rule cong :premises (@p82) :args (@t169)) % 0.36/0.74 (step @p84 :rule ho_cong :premises (@p83 @p56)) % 0.36/0.74 (step @p85 :rule trans :premises (@p84 @p81)) % 0.36/0.74 (step @p86 :rule refl :args (@t139)) % 0.36/0.74 (step @p87 :rule nary_cong :premises (@p62 @p86 @p85) :args (@t170)) % 0.36/0.74 (step @p88 :rule cong :premises (@p87) :args (@t171)) % 0.36/0.74 (step @p89 :rule trans :premises (@p88 @p80)) % 0.36/0.74 (step @p90 :rule cong :premises (@p89) :args (@t172)) % 0.36/0.74 (step @p91 :rule beta-reduce :args ((= (_ (lambda @t149 (forall @t37 (or @t112 @t139 @t148))) @t169) @t172))) % 0.36/0.74 (step @p92 :rule trans :premises (@p91 @p90)) % 0.36/0.74 (step @p93 :rule aci_norm :args ((= @t174 @t166))) % 0.36/0.74 (step @p94 :rule cong 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(@p121)) % 0.36/0.74 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 0.36/0.74 (step @p124 :rule nary_cong :premises (@p47 @p123 @p118) :args (@t198)) % 0.36/0.74 (step @p125 :rule cong :premises (@p124) :args ((forall @t37 @t198))) % 0.36/0.74 (step @p126 :rule refl :args (@t192)) % 0.36/0.74 (step @p127 :rule beta-reduce :args ((= @t200 @t197))) % 0.36/0.74 (step @p128 :rule nary_cong :premises (@p62 @p127 @p126) :args (@t201)) % 0.36/0.74 (step @p129 :rule cong :premises (@p128) :args (@t202)) % 0.36/0.74 (step @p130 :rule trans :premises (@p129 @p125)) % 0.36/0.74 (step @p131 :rule cong :premises (@p130) :args (@t203)) % 0.36/0.74 (step @p132 :rule beta-reduce :args ((= (_ @t206 @t199) @t203))) % 0.36/0.74 (step @p133 :rule trans :premises (@p132 @p131)) % 0.36/0.74 (step @p134 :rule beta-reduce :args ((= @t207 @t199))) % 0.36/0.74 (step @p135 :rule refl :args (@t206)) % 0.36/0.74 (step @p136 :rule ho_cong :premises (@p135 @p134)) % 0.36/0.74 (step @p137 :rule trans :premises (@p136 @p133)) % 0.36/0.74 (step @p138 :rule ho_cong :premises (@p137 @p117)) % 0.36/0.74 (step @p139 :rule trans :premises (@p138 @p116)) % 0.36/0.74 (step @p140 :rule refl :args (@t148)) % 0.36/0.74 (step @p141 :rule beta-reduce :args ((= (_ (lambda @t114 (forall @t84 (or (not (tptp.rel @t26 @t81)) @t83 @t82 @t80))) @t32) @t138))) % 0.36/0.74 (step @p142 :rule alpha_equiv :args (@t212 @t143 (@list @t81))) % 0.36/0.74 (step @p143 :rule cong :premises (@p142) :args (@t213)) % 0.36/0.74 (step @p144 :rule ho_cong :premises (@p143 @p56)) % 0.36/0.74 (step @p145 :rule trans :premises (@p144 @p141)) % 0.36/0.74 (step @p146 :rule cong :premises (@p145) :args (@t214)) % 0.36/0.74 (step @p147 :rule nary_cong :premises (@p62 @p146 @p140) :args (@t215)) % 0.36/0.74 (step @p148 :rule cong :premises (@p147) :args (@t216)) % 0.36/0.74 (step @p149 :rule cong :premises (@p148) :args (@t217)) % 0.36/0.74 (step @p150 :rule beta-reduce :args ((= (_ @t220 @t213) @t217))) % 0.36/0.74 (step @p151 :rule trans :premises (@p150 @p149)) % 0.36/0.74 (step @p152 :rule aci_norm :args ((= @t222 @t210))) % 0.36/0.74 (step @p153 :rule cong :premises (@p152) :args (@t223)) % 0.36/0.74 (step @p154 :rule quant-merge-prenex :args ((= (forall @t37 @t225) @t223))) % 0.36/0.74 (step @p155 :rule alpha_equiv :args (@t226 (@list @t79) @t180)) % 0.36/0.74 (step @p156 :rule refl :args (@t209)) % 0.36/0.74 (step @p157 :rule nary_cong :premises (@p47 @p156 @p155) :args (@t227)) % 0.36/0.74 (step @p158 :rule quant-miniscope-or :args ((= @t225 @t227))) % 0.36/0.74 (step @p159 :rule trans :premises (@p158 @p157)) % 0.36/0.74 (step @p160 :rule symm :premises (@p159)) % 0.36/0.74 (step @p161 :rule cong :premises (@p160) :args ((forall @t37 (or @t112 @t209 @t184)))) % 0.36/0.74 (step @p162 :rule trans :premises (@p161 @p154)) % 0.36/0.74 (step @p163 :rule trans :premises (@p162 @p153)) % 0.36/0.74 (step @p164 :rule refl :args (@t209)) % 0.36/0.74 (step @p165 :rule nary_cong :premises (@p62 @p164 @p109) :args (@t228)) % 0.36/0.74 (step @p166 :rule cong :premises (@p165) :args (@t229)) % 0.36/0.74 (step @p167 :rule trans :premises (@p166 @p163)) % 0.36/0.74 (step @p168 :rule cong :premises (@p167) :args (@t230)) % 0.36/0.74 (step @p169 :rule beta-reduce :args ((= (_ (lambda @t193 (forall @t37 (or @t112 @t209 @t192))) @t187) @t230))) % 0.36/0.74 (step @p170 :rule trans :premises (@p169 @p168)) % 0.36/0.74 (step @p171 :rule refl :args (@t209)) % 0.36/0.74 (step @p172 :rule refl :args (@t231)) % 0.36/0.74 (step @p173 :rule cong :premises (@p172 @p171) :args ((= @t231 @t209))) % 0.36/0.74 (step @p174 :rule symm :premises (@p173)) % 0.36/0.74 (step @p175 :rule eq_resolve :premises (@p172 @p174)) % 0.36/0.74 (step @p176 :rule nary_cong :premises (@p47 @p175 @p118) :args (@t232)) % 0.36/0.74 (step @p177 :rule cong :premises (@p176) :args ((forall @t37 @t232))) % 0.36/0.74 (step @p178 :rule beta-reduce :args ((= @t234 @t231))) % 0.36/0.74 (step @p179 :rule nary_cong :premises (@p62 @p178 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(@p669 @p517) :args (@t449)) % 0.36/0.74 (step @p671 :rule cong :premises (@p670) :args (@t450)) % 0.36/0.74 (step @p672 :rule beta-reduce :args ((= (_ @t326 @t446) @t450))) % 0.36/0.74 (step @p673 :rule trans :premises (@p672 @p671)) % 0.36/0.74 (step @p674 :rule beta-reduce :args ((= (_ @t293 @t1) @t446))) % 0.36/0.74 (step @p675 :rule ho_cong :premises (@p293 @p359)) % 0.36/0.74 (step @p676 :rule trans :premises (@p675 @p674)) % 0.36/0.74 (step @p677 :rule ho_cong :premises (@p524 @p676)) % 0.36/0.74 (step @p678 :rule trans :premises (@p677 @p673)) % 0.36/0.74 (step @p679 :rule ho_cong :premises (@p678 @p359)) % 0.36/0.74 (step @p680 :rule trans :premises (@p679 @p667)) % 0.36/0.74 (step @p681 :rule ho_cong :premises (@p529 @p680)) % 0.36/0.74 (step @p682 :rule trans :premises (@p681 @p666)) % 0.36/0.74 (step @p683 :rule cong :premises (@p682) :args ((forall @t3 (_ @t334 (_ (_ @t326 (_ @t295 @t1)) @t1))))) % 0.36/0.74 (step @p684 :rule trans :premises (@p683 @p653)) % 0.36/0.74 (step @p685 :rule ho_cong :premises (@p317 @p359)) % 0.36/0.74 (step @p686 :rule ho_cong :premises (@p424 @p685)) % 0.36/0.74 (step @p687 :rule ho_cong :premises (@p686 @p359)) % 0.36/0.74 (step @p688 :rule ho_cong :premises (@p449 @p687)) % 0.36/0.74 (step @p689 :rule cong :premises (@p688) :args (@t4)) % 0.36/0.74 (step @p690 :rule trans :premises (@p689 @p684)) % 0.36/0.74 (step @p691 :rule eq_resolve :premises (@p3 @p690)) % 0.36/0.74 (step @p692 :rule refl :args (@t451)) % 0.36/0.74 (step @p693 :rule refl :args (@t452)) % 0.36/0.74 (step @p694 :rule cong :premises (@p693 @p692) :args ((= @t452 @t451))) % 0.36/0.74 (step @p695 :rule symm :premises (@p694)) % 0.36/0.74 (step @p696 :rule eq_resolve :premises (@p693 @p695)) % 0.36/0.74 (step @p697 :rule refl :args (@t438)) % 0.36/0.74 (step @p698 :rule cong :premises (@p697 @p696) :args ((=> @t438 @t452))) % 0.36/0.74 (step @p699 :rule aci_norm :args ((= (or false @t452) @t452))) % 0.36/0.74 (step @p700 :rule refl :args (@t453)) % 0.36/0.74 (step @p701 :rule nary_cong :premises (@p574 @p700) :args (@t454)) % 0.36/0.74 (step @p702 :rule trans :premises (@p701 @p699)) % 0.36/0.74 (step @p703 :rule cong :premises (@p697 @p702) :args ((=> @t438 @t454))) % 0.36/0.74 (assume-push @p730 @t438) % 0.36/0.74 (step @p705 :rule instantiate :premises (@p691) :args ((@list @t406 @t101))) % 0.36/0.74 (step-pop @p731 :rule scope :premises (@p705)) % 0.36/0.74 (step @p706 :rule process_scope :premises (@p731) :args (@t454)) % 0.36/0.74 (step @p708 :rule eq_resolve :premises (@p706 @p703)) % 0.36/0.74 (step @p709 :rule eq_resolve :premises (@p708 @p698)) % 0.36/0.74 (step @p710 :rule implies_elim :premises (@p709)) % 0.36/0.74 (step @p711 :rule chain_m_resolution :premises (@p710 @p691) :args (@t451 @t419 (@list @t438))) % 0.36/0.75 (step @p712 :rule cnf_or_pos :args (@t458)) % 0.36/0.75 (step @p713 :rule reordering :premises (@p712) :args ((or @t337 @t457 @t434 @t456 (not @t458)))) % 0.36/0.75 (step @p714 :rule chain_m_resolution :premises (@p713 @p623 @p711 @p652 @p599) :args (@t456 (@list true false false false) (@list @t337 @t451 @t423 @t458))) % 0.36/0.75 (step @p715 :rule cnf_or_pos :args (@t459)) % 0.36/0.75 (step @p716 :rule reordering :premises (@p715) :args ((or @t339 @t455 @t460))) % 0.36/0.75 (step @p717 :rule chain_m_resolution :premises (@p716 @p629 @p714) :args (@t460 (@list false true) (@list @t338 @t455))) % 0.36/0.75 (assume-push @p732 @t104) % 0.36/0.75 (step @p719 :rule instantiate :premises (@p732) :args ((@list @t336))) % 0.36/0.75 (step-pop @p733 :rule scope :premises (@p719)) % 0.36/0.75 (step @p720 :rule process_scope :premises (@p733) :args (@t459)) % 0.36/0.75 (step @p722 :rule implies_elim :premises (@p720)) % 0.36/0.75 (step @p723 false :rule chain_m_resolution :premises (@p722 @p717 @p598) :args (false (@list true false) (@list @t459 @t104))) % 0.36/0.75 ) % 0.36/0.75 % SZS output end Proof % 0.36/0.75 % cvc5 exiting %------------------------------------------------------------------------------