%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV436^4 : 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 : n010.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 09:01:32 AM UTC 2026 % Result : Theorem 0.45s 0.65s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV436^4 : 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 % 0.15/0.34 % Computer : n010.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 20:17:25 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.45/0.65 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.65 % SZS status Theorem % 0.45/0.65 % SZS output start Proof % 0.45/0.65 ( % 0.45/0.65 (declare-sort $$unsorted 0) % 0.45/0.65 (declare-sort tptp.individuals 0) % 0.45/0.65 (declare-const tptp.rel (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.bob (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.admin (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.deletefile1 (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.icl_true (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.icl_false (-> $$unsorted Bool)) % 0.45/0.65 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 0.45/0.65 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 0.45/0.65 (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)))))) % 0.45/0.65 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.45/0.65 (define tptp.mand () (let ((_let_1 (@var "U" $$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))))))) % 0.45/0.65 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.45/0.65 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.45/0.65 (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 $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.45/0.65 (define tptp.mdia () (let ((_let_1 (@var "Y" $$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))))))))) % 0.45/0.65 (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))))))) % 0.45/0.65 (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))))))) % 0.45/0.65 (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)))))) % 0.45/0.65 (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)))))) % 0.45/0.65 (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))))))) % 0.45/0.65 (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))))))) % 0.45/0.65 (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))))) % 0.45/0.65 (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))))) % 0.45/0.65 (define tptp.icl_and () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 0.45/0.65 (define tptp.icl_or () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.45/0.65 (define tptp.icl_impl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "B" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mbox tptp.rel) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.45/0.65 (define tptp.icl_says () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.45/0.65 (define tptp.iclval () (let ((_let_1 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_1) (_ tptp.mvalid _let_1)))) % 0.45/0.65 (define @t1 () (= tptp.icl_false tptp.mfalse)) % 0.45/0.65 (define @t2 () (@var "A" (-> $$unsorted Bool))) % 0.45/0.65 (define @t3 () (_ tptp.mbox tptp.rel)) % 0.45/0.65 (define @t4 () (@list @t2)) % 0.45/0.65 (define @t5 () (forall @t4 (_ tptp.mvalid (_ (_ tptp.mimpl (_ @t3 @t2)) @t2)))) % 0.45/0.65 (define @t6 () (@var "B" (-> $$unsorted Bool))) % 0.45/0.65 (define @t7 () (_ @t3 @t6)) % 0.45/0.65 (define @t8 () (_ tptp.icl_atom tptp.deletefile1)) % 0.45/0.65 (define @t9 () (_ tptp.icl_princ tptp.admin)) % 0.45/0.65 (define @t10 () (_ tptp.icl_princ tptp.bob)) % 0.45/0.65 (define @t11 () (not (_ tptp.iclval @t8))) % 0.45/0.65 (define @t12 () (@var "X" $$unsorted)) % 0.45/0.65 (define @t13 () (@list @t12)) % 0.45/0.65 (define @t14 () (lambda @t13 false)) % 0.45/0.65 (define @t15 () (lambda @t13 true)) % 0.45/0.65 (define @t16 () (@var "U" $$unsorted)) % 0.45/0.65 (define @t17 () (@var "X" (-> $$unsorted Bool))) % 0.45/0.65 (define @t18 () (_ @t17 @t16)) % 0.45/0.65 (define @t19 () (lambda (@list @t17 @t16) (not @t18))) % 0.45/0.65 (define @t20 () (@var "Y" (-> $$unsorted Bool))) % 0.45/0.65 (define @t21 () (_ @t20 @t16)) % 0.45/0.65 (define @t22 () (@list @t17 @t20 @t16)) % 0.45/0.65 (define @t23 () (lambda @t22 (or @t18 @t21))) % 0.45/0.65 (define @t24 () (lambda @t22 (and @t18 @t21))) % 0.45/0.65 (define @t25 () (@var "__flatten_var_0" $$unsorted)) % 0.45/0.65 (define @t26 () (@var "V" (-> $$unsorted Bool))) % 0.45/0.65 (define @t27 () (@var "U" (-> $$unsorted Bool))) % 0.45/0.65 (define @t28 () (@list @t27 @t26 @t25)) % 0.45/0.65 (define @t29 () (lambda @t28 (_ (_ (_ tptp.mor (_ tptp.mnot @t27)) @t26) @t25))) % 0.45/0.65 (define @t30 () (lambda @t28 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t27) @t26)) (_ (_ tptp.mimpl @t26) @t27)) @t25))) % 0.45/0.65 (define @t31 () (@var "Y" $$unsorted)) % 0.45/0.65 (define @t32 () (@var "P" (-> $$unsorted Bool))) % 0.45/0.65 (define @t33 () (_ @t32 @t31)) % 0.45/0.65 (define @t34 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.45/0.65 (define @t35 () (_ (_ @t34 @t12) @t31)) % 0.45/0.65 (define @t36 () (@list @t31)) % 0.45/0.65 (define @t37 () (forall @t36 (=> @t35 @t33))) % 0.45/0.65 (define @t38 () (@list @t34 @t32 @t12)) % 0.45/0.65 (define @t39 () (lambda @t38 @t37)) % 0.45/0.65 (define @t40 () (lambda @t38 (exists @t36 (and @t35 @t33)))) % 0.45/0.65 (define @t41 () (@var "W" $$unsorted)) % 0.45/0.65 (define @t42 () (@var "X" tptp.individuals)) % 0.45/0.65 (define @t43 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 0.45/0.65 (define @t44 () (_ (_ @t43 @t42) @t41)) % 0.45/0.65 (define @t45 () (@list @t42)) % 0.45/0.65 (define @t46 () (@list @t43 @t41)) % 0.45/0.65 (define @t47 () (lambda @t46 (forall @t45 @t44))) % 0.45/0.65 (define @t48 () (lambda @t46 (exists @t45 @t44))) % 0.45/0.65 (define @t49 () (_ @t32 @t41)) % 0.45/0.65 (define @t50 () (@list @t41)) % 0.45/0.65 (define @t51 () (forall @t50 @t49)) % 0.45/0.65 (define @t52 () (@list @t32)) % 0.45/0.65 (define @t53 () (lambda @t52 @t51)) % 0.45/0.65 (define @t54 () (lambda @t52 (exists @t50 @t49))) % 0.45/0.65 (define @t55 () (not @t49)) % 0.45/0.65 (define @t56 () (lambda @t52 (exists @t50 @t55))) % 0.45/0.65 (define @t57 () (lambda @t52 (forall @t50 @t55))) % 0.45/0.65 (define @t58 () (@list @t32 @t25)) % 0.45/0.65 (define @t59 () (lambda @t58 (_ (_ @t3 @t32) @t25))) % 0.45/0.65 (define @t60 () (lambda @t58 (_ @t32 @t25))) % 0.45/0.65 (define @t61 () (@list @t2 @t6 @t25)) % 0.45/0.65 (define @t62 () (lambda @t61 (_ (_ (_ tptp.mand @t2) @t6) @t25))) % 0.45/0.65 (define @t63 () (_ tptp.mor @t2)) % 0.45/0.65 (define @t64 () (lambda @t61 (_ (_ @t63 @t6) @t25))) % 0.45/0.65 (define @t65 () (lambda @t61 (_ (_ @t3 (_ (_ tptp.mimpl @t2) @t6)) @t25))) % 0.45/0.65 (define @t66 () (@var "S" (-> $$unsorted Bool))) % 0.45/0.65 (define @t67 () (@list @t2 @t66 @t25)) % 0.45/0.65 (define @t68 () (lambda @t67 (_ (_ @t3 (_ @t63 @t66)) @t25))) % 0.45/0.65 (define @t69 () (@list @t17)) % 0.45/0.65 (define @t70 () (lambda @t69 (_ tptp.mvalid @t17))) % 0.45/0.65 (define @t71 () (@var "BOUND_VARIABLE_8408" $$unsorted)) % 0.45/0.65 (define @t72 () (tptp.deletefile1 @t71)) % 0.45/0.65 (define @t73 () (@var "BOUND_VARIABLE_8404" $$unsorted)) % 0.45/0.65 (define @t74 () (not (tptp.rel @t73 @t71))) % 0.45/0.65 (define @t75 () (@var "BOUND_VARIABLE_8406" $$unsorted)) % 0.45/0.65 (define @t76 () (tptp.admin @t75)) % 0.45/0.65 (define @t77 () (not (tptp.bob @t75))) % 0.45/0.65 (define @t78 () (not (tptp.rel @t73 @t75))) % 0.45/0.65 (define @t79 () (not (tptp.rel @t31 @t73))) % 0.45/0.65 (define @t80 () (tptp.admin @t31)) % 0.45/0.65 (define @t81 () (not (tptp.rel @t41 @t31))) % 0.45/0.65 (define @t82 () (or @t81 @t80 @t79 @t78 @t77 @t76 @t74 @t72)) % 0.45/0.65 (define @t83 () (forall (@list @t41 @t31 @t73 @t75 @t71) @t82)) % 0.45/0.65 (define @t84 () (@list @t31 @t73 @t75 @t71)) % 0.45/0.65 (define @t85 () (forall @t84 @t82)) % 0.45/0.65 (define @t86 () (not (tptp.rel @t25 @t31))) % 0.45/0.65 (define @t87 () (or @t86 @t80 @t79 @t78 @t77 @t76 @t74 @t72)) % 0.45/0.65 (define @t88 () (@list @t25)) % 0.45/0.65 (define @t89 () (lambda @t88 (forall @t84 @t87))) % 0.45/0.65 (define @t90 () (_ @t89 @t41)) % 0.45/0.65 (define @t91 () (forall @t50 @t90)) % 0.45/0.65 (define @t92 () (forall @t50 (_ @t17 @t41))) % 0.45/0.65 (define @t93 () (lambda @t69 @t92)) % 0.45/0.65 (define @t94 () (or @t79 @t78 @t77 @t76 @t74 @t72)) % 0.45/0.65 (define @t95 () (or @t86 @t80 @t94)) % 0.45/0.65 (define @t96 () (forall @t84 @t95)) % 0.45/0.65 (define @t97 () (@list @t73 @t75 @t71)) % 0.45/0.65 (define @t98 () (forall @t97 @t95)) % 0.45/0.65 (define @t99 () (forall @t97 @t94)) % 0.45/0.65 (define @t100 () (@var "BOUND_VARIABLE_8368" $$unsorted)) % 0.45/0.65 (define @t101 () (@var "BOUND_VARIABLE_8347" $$unsorted)) % 0.45/0.65 (define @t102 () (@var "BOUND_VARIABLE_8385" $$unsorted)) % 0.45/0.65 (define @t103 () (or @t86 @t80 @t99)) % 0.45/0.65 (define @t104 () (tptp.deletefile1 @t100)) % 0.45/0.65 (define @t105 () (not (tptp.rel @t102 @t100))) % 0.45/0.65 (define @t106 () (tptp.admin @t101)) % 0.45/0.65 (define @t107 () (not (tptp.bob @t101))) % 0.45/0.65 (define @t108 () (not (tptp.rel @t102 @t101))) % 0.45/0.65 (define @t109 () (@list @t102 @t101 @t100)) % 0.45/0.65 (define @t110 () (forall @t109 (or (not (tptp.rel @t31 @t102)) @t108 @t107 @t106 @t105 @t104))) % 0.45/0.65 (define @t111 () (not (tptp.rel @t31 @t100))) % 0.45/0.65 (define @t112 () (not (tptp.rel @t31 @t101))) % 0.45/0.65 (define @t113 () (or @t86 @t112 @t107 @t106 @t111 @t104)) % 0.45/0.65 (define @t114 () (@list @t31 @t101 @t100)) % 0.45/0.65 (define @t115 () (forall @t114 @t113)) % 0.45/0.65 (define @t116 () (@list @t31)) % 0.45/0.65 (define @t117 () (lambda @t88 @t115)) % 0.45/0.65 (define @t118 () (or @t86 @t80 (_ @t117 @t31))) % 0.45/0.65 (define @t119 () (forall @t36 @t118)) % 0.45/0.65 (define @t120 () (lambda @t88 @t119)) % 0.45/0.65 (define @t121 () (_ @t66 @t31)) % 0.45/0.65 (define @t122 () (@list @t66 @t25)) % 0.45/0.65 (define @t123 () (or @t111 @t104)) % 0.45/0.65 (define @t124 () (or @t86 @t123 @t112 @t107 @t106)) % 0.45/0.65 (define @t125 () (forall @t114 @t124)) % 0.45/0.65 (define @t126 () (@list @t100)) % 0.45/0.65 (define @t127 () (forall @t126 @t124)) % 0.45/0.65 (define @t128 () (@list @t31 @t101)) % 0.45/0.65 (define @t129 () (forall @t126 @t123)) % 0.45/0.65 (define @t130 () (@var "BOUND_VARIABLE_8242" $$unsorted)) % 0.45/0.65 (define @t131 () (@list @t130)) % 0.45/0.65 (define @t132 () (or @t86 @t129 @t112 @t107 @t106)) % 0.45/0.65 (define @t133 () (tptp.deletefile1 @t130)) % 0.45/0.65 (define @t134 () (@list @t130)) % 0.45/0.65 (define @t135 () (forall @t134 (or (not (tptp.rel @t31 @t130)) @t133))) % 0.45/0.65 (define @t136 () (tptp.deletefile1 @t31)) % 0.45/0.65 (define @t137 () (forall @t36 (or @t86 @t136))) % 0.45/0.65 (define @t138 () (lambda @t88 @t137)) % 0.45/0.65 (define @t139 () (_ @t138 @t31)) % 0.45/0.65 (define @t140 () (or @t86 @t139 @t112 @t107 @t106)) % 0.45/0.65 (define @t141 () (forall @t128 @t140)) % 0.45/0.65 (define @t142 () (lambda @t88 @t141)) % 0.45/0.65 (define @t143 () (or @t86 @t121 @t112 @t107 @t106)) % 0.45/0.65 (define @t144 () (_ @t32 @t31)) % 0.45/0.65 (define @t145 () (forall @t36 (or @t86 @t144))) % 0.45/0.65 (define @t146 () (_ (lambda @t58 @t145) tptp.deletefile1)) % 0.45/0.65 (define @t147 () (or @t112 @t107 @t106)) % 0.45/0.65 (define @t148 () (or @t86 @t147 @t121)) % 0.45/0.65 (define @t149 () (forall @t128 @t148)) % 0.45/0.65 (define @t150 () (@list @t101)) % 0.45/0.65 (define @t151 () (forall @t150 @t148)) % 0.45/0.65 (define @t152 () (forall @t150 @t147)) % 0.45/0.65 (define @t153 () (@var "BOUND_VARIABLE_8329" $$unsorted)) % 0.45/0.65 (define @t154 () (@list @t153)) % 0.45/0.65 (define @t155 () (or @t86 @t152 @t121)) % 0.45/0.65 (define @t156 () (tptp.admin @t153)) % 0.45/0.65 (define @t157 () (not (tptp.bob @t153))) % 0.45/0.65 (define @t158 () (@list @t153)) % 0.45/0.65 (define @t159 () (forall @t158 (or (not (tptp.rel @t31 @t153)) @t157 @t156))) % 0.45/0.65 (define @t160 () (tptp.bob @t31)) % 0.45/0.65 (define @t161 () (not @t160)) % 0.45/0.65 (define @t162 () (forall @t36 (or @t86 @t161 @t80))) % 0.45/0.65 (define @t163 () (lambda @t88 @t162)) % 0.45/0.65 (define @t164 () (or @t86 (_ @t163 @t31) @t121)) % 0.45/0.65 (define @t165 () (forall @t36 @t164)) % 0.45/0.65 (define @t166 () (lambda @t122 @t165)) % 0.45/0.65 (define @t167 () (_ @t2 @t31)) % 0.45/0.65 (define @t168 () (forall @t36 (or @t86 @t167 @t121))) % 0.45/0.65 (define @t169 () (lambda @t67 @t168)) % 0.45/0.65 (define @t170 () (_ tptp.admin @t31)) % 0.45/0.65 (define @t171 () (or @t86 @t161 @t170)) % 0.45/0.65 (define @t172 () (lambda @t88 (_ tptp.admin @t25))) % 0.45/0.65 (define @t173 () (_ @t172 @t31)) % 0.45/0.65 (define @t174 () (or @t86 @t161 @t173)) % 0.45/0.65 (define @t175 () (forall @t36 @t174)) % 0.45/0.65 (define @t176 () (lambda @t88 @t175)) % 0.45/0.65 (define @t177 () (_ @t6 @t31)) % 0.45/0.65 (define @t178 () (@list @t6 @t25)) % 0.45/0.65 (define @t179 () (_ tptp.bob @t31)) % 0.45/0.65 (define @t180 () (not @t179)) % 0.45/0.65 (define @t181 () (or @t86 @t180 @t177)) % 0.45/0.65 (define @t182 () (lambda @t88 (_ tptp.bob @t25))) % 0.45/0.65 (define @t183 () (_ @t182 @t31)) % 0.45/0.65 (define @t184 () (not @t183)) % 0.45/0.65 (define @t185 () (or @t86 @t184 @t177)) % 0.45/0.65 (define @t186 () (forall @t36 @t185)) % 0.45/0.65 (define @t187 () (lambda @t178 @t186)) % 0.45/0.65 (define @t188 () (not @t167)) % 0.45/0.65 (define @t189 () (forall @t36 (or @t86 @t188 @t177))) % 0.45/0.65 (define @t190 () (lambda @t61 @t189)) % 0.45/0.65 (define @t191 () (or @t86 @t170 @t121)) % 0.45/0.65 (define @t192 () (or @t86 @t173 @t121)) % 0.45/0.65 (define @t193 () (forall @t36 @t192)) % 0.45/0.65 (define @t194 () (lambda @t122 @t193)) % 0.45/0.65 (define @t195 () (not (tptp.rel @t12 @t31))) % 0.45/0.65 (define @t196 () (forall @t36 (or @t195 @t144))) % 0.45/0.65 (define @t197 () (lambda @t13 @t196)) % 0.45/0.65 (define @t198 () (lambda (@list @t32 @t12) @t196)) % 0.45/0.65 (define @t199 () (_ @t34 @t12 @t31)) % 0.45/0.65 (define @t200 () (_ (lambda @t38 (forall @t36 (or (not @t199) @t144))) tptp.rel)) % 0.45/0.65 (define @t201 () (not @t35)) % 0.45/0.65 (define @t202 () (or @t201 @t33)) % 0.45/0.65 (define @t203 () (_ @t6 @t31)) % 0.45/0.65 (define @t204 () (_ @t2 @t31)) % 0.45/0.65 (define @t205 () (not @t204)) % 0.45/0.65 (define @t206 () (or @t195 @t205 @t203)) % 0.45/0.65 (define @t207 () (or @t205 @t203)) % 0.45/0.65 (define @t208 () (_ @t2 @t25)) % 0.45/0.65 (define @t209 () (not @t208)) % 0.45/0.65 (define @t210 () (lambda @t88 (or @t209 (_ @t6 @t25)))) % 0.45/0.65 (define @t211 () (_ @t210 @t31)) % 0.45/0.65 (define @t212 () (or @t195 @t211)) % 0.45/0.65 (define @t213 () (forall @t36 @t212)) % 0.45/0.65 (define @t214 () (lambda @t13 @t213)) % 0.45/0.65 (define @t215 () (_ @t26 @t25)) % 0.45/0.65 (define @t216 () (@list @t26 @t25)) % 0.45/0.65 (define @t217 () (lambda @t216 (or @t209 @t215))) % 0.45/0.65 (define @t218 () (or (not (_ @t27 @t25)) @t215)) % 0.45/0.65 (define @t219 () (lambda @t28 @t218)) % 0.45/0.65 (define @t220 () (not (_ @t27 @t16))) % 0.45/0.65 (define @t221 () (@list @t16)) % 0.45/0.65 (define @t222 () (lambda @t221 (or @t220 (_ @t26 @t16)))) % 0.45/0.65 (define @t223 () (@list @t20 @t16)) % 0.45/0.65 (define @t224 () (lambda @t221 @t220)) % 0.45/0.65 (define @t225 () (_ @t224 @t16)) % 0.45/0.65 (define @t226 () (or @t225 @t21)) % 0.45/0.65 (define @t227 () (lambda @t223 @t226)) % 0.45/0.65 (define @t228 () (_ @t66 @t31)) % 0.45/0.65 (define @t229 () (or @t195 @t204 @t228)) % 0.45/0.65 (define @t230 () (or @t204 @t228)) % 0.45/0.65 (define @t231 () (_ @t2 @t16)) % 0.45/0.65 (define @t232 () (lambda @t221 (or @t231 (_ @t66 @t16)))) % 0.45/0.65 (define @t233 () (_ @t232 @t31)) % 0.45/0.65 (define @t234 () (or @t195 @t233)) % 0.45/0.65 (define @t235 () (forall @t36 @t234)) % 0.45/0.65 (define @t236 () (lambda @t13 @t235)) % 0.45/0.65 (define @t237 () (lambda @t223 (or @t231 @t21))) % 0.45/0.65 (define @t238 () (_ @t32 @t41)) % 0.45/0.65 (define @t239 () (lambda @t52 (forall @t50 @t238))) % 0.45/0.65 (define @t240 () (_ @t2 @t41)) % 0.45/0.65 (define @t241 () (not (forall @t36 (or @t81 @t167)))) % 0.45/0.65 (define @t242 () (or @t241 @t240)) % 0.45/0.65 (define @t243 () (forall (@list @t2 @t41) @t242)) % 0.45/0.65 (define @t244 () (_ @t2 @t41)) % 0.45/0.65 (define @t245 () (or @t241 @t244)) % 0.45/0.65 (define @t246 () (forall @t36 (or @t86 @t167))) % 0.45/0.65 (define @t247 () (not @t246)) % 0.45/0.65 (define @t248 () (lambda @t88 (or @t247 @t208))) % 0.45/0.65 (define @t249 () (_ @t248 @t41)) % 0.45/0.65 (define @t250 () (forall @t50 @t249)) % 0.45/0.65 (define @t251 () (lambda @t13 (forall @t36 (or @t195 @t167)))) % 0.45/0.65 (define @t252 () (_ @t251 @t25)) % 0.45/0.65 (define @t253 () (not @t252)) % 0.45/0.65 (define @t254 () (or @t253 @t215)) % 0.45/0.65 (define @t255 () (lambda @t216 @t254)) % 0.45/0.65 (define @t256 () (or @t81 @t136)) % 0.45/0.65 (define @t257 () (forall (@list @t41 @t31) @t256)) % 0.45/0.65 (define @t258 () (@quantifiers_skolemize @t257 1)) % 0.45/0.65 (define @t259 () (tptp.rel @t258 @t258)) % 0.45/0.65 (define @t260 () (_ tptp.rel @t258)) % 0.45/0.65 (define @t261 () (_ @t260 @t258)) % 0.45/0.65 (define @t262 () (_ @t260 @t258)) % 0.45/0.65 (define @t263 () (tptp.rel @t258 @t31)) % 0.45/0.65 (define @t264 () (not @t263)) % 0.45/0.65 (define @t265 () (_ @t260 @t31)) % 0.45/0.65 (define @t266 () (or @t264 @t265)) % 0.45/0.65 (define @t267 () (_ @t260 @t31)) % 0.45/0.65 (define @t268 () (or @t264 @t267)) % 0.45/0.65 (define @t269 () (forall @t36 @t268)) % 0.45/0.65 (define @t270 () (not @t269)) % 0.45/0.65 (define @t271 () (or @t270 @t262)) % 0.45/0.65 (define @t272 () (@var "BOUND_VARIABLE_8455" $$unsorted)) % 0.45/0.65 (define @t273 () (tptp.deletefile1 @t272)) % 0.45/0.65 (define @t274 () (not (tptp.rel @t31 @t272))) % 0.45/0.65 (define @t275 () (or @t81 @t160 @t274 @t273)) % 0.45/0.65 (define @t276 () (@list @t31 @t272)) % 0.45/0.65 (define @t277 () (forall @t276 @t275)) % 0.45/0.65 (define @t278 () (or @t86 @t160 @t274 @t273)) % 0.45/0.65 (define @t279 () (lambda @t88 (forall @t276 @t278))) % 0.45/0.65 (define @t280 () (_ @t279 @t41)) % 0.45/0.65 (define @t281 () (forall @t50 @t280)) % 0.45/0.65 (define @t282 () (or @t274 @t273)) % 0.45/0.65 (define @t283 () (or @t86 @t160 @t282)) % 0.45/0.65 (define @t284 () (forall @t276 @t283)) % 0.45/0.65 (define @t285 () (@list @t272)) % 0.45/0.65 (define @t286 () (forall @t285 @t283)) % 0.45/0.65 (define @t287 () (forall @t285 @t282)) % 0.45/0.65 (define @t288 () (or @t86 @t160 @t287)) % 0.45/0.65 (define @t289 () (or @t86 @t160 @t139)) % 0.45/0.65 (define @t290 () (forall @t36 @t289)) % 0.45/0.65 (define @t291 () (lambda @t88 @t290)) % 0.45/0.65 (define @t292 () (or @t86 @t179 @t121)) % 0.45/0.65 (define @t293 () (or @t86 @t183 @t121)) % 0.45/0.65 (define @t294 () (forall @t36 @t293)) % 0.45/0.65 (define @t295 () (lambda @t122 @t294)) % 0.45/0.65 (define @t296 () (forall @t36 (or @t264 @t136))) % 0.45/0.65 (define @t297 () (@quantifiers_skolemize @t296 0)) % 0.45/0.65 (define @t298 () (@quantifiers_skolemize @t257 0)) % 0.45/0.65 (define @t299 () (forall @t36 @t256)) % 0.45/0.65 (define @t300 () (_ @t138 @t41)) % 0.45/0.65 (define @t301 () (forall @t50 @t300)) % 0.45/0.65 (define @t302 () (tptp.deletefile1 @t258)) % 0.45/0.65 (define @t303 () (tptp.rel @t298 @t258)) % 0.45/0.65 (define @t304 () (not @t303)) % 0.45/0.65 (define @t305 () (or @t304 @t302)) % 0.45/0.65 (define @t306 () (@list true)) % 0.45/0.65 (define @t307 () (@list @t305)) % 0.45/0.65 (define @t308 () (not @t296)) % 0.45/0.65 (define @t309 () (or @t308 @t302)) % 0.45/0.65 (define @t310 () (@list true false)) % 0.45/0.65 (define @t311 () (tptp.deletefile1 @t297)) % 0.45/0.65 (define @t312 () (tptp.rel @t258 @t297)) % 0.45/0.65 (define @t313 () (not @t312)) % 0.45/0.65 (define @t314 () (or @t313 @t311)) % 0.45/0.65 (define @t315 () (@list @t314)) % 0.45/0.65 (define @t316 () (tptp.bob @t258)) % 0.45/0.65 (define @t317 () (or @t304 @t316 @t313 @t311)) % 0.45/0.65 (define @t318 () (@var "BOUND_VARIABLE_8258" $$unsorted)) % 0.45/0.65 (define @t319 () (tptp.deletefile1 @t318)) % 0.45/0.65 (define @t320 () (not (tptp.rel @t31 @t318))) % 0.45/0.65 (define @t321 () (@var "BOUND_VARIABLE_8218" $$unsorted)) % 0.45/0.65 (define @t322 () (not (tptp.admin @t321))) % 0.45/0.65 (define @t323 () (not (tptp.rel @t31 @t321))) % 0.45/0.65 (define @t324 () (@var "BOUND_VARIABLE_8491" $$unsorted)) % 0.45/0.65 (define @t325 () (lambda (@list @t324) false)) % 0.45/0.65 (define @t326 () (_ @t325 @t321)) % 0.45/0.65 (define @t327 () (or @t81 @t323 @t322 @t326 @t320 @t319)) % 0.45/0.65 (define @t328 () (@list @t41 @t31 @t321 @t318)) % 0.45/0.65 (define @t329 () (tptp.icl_false @t321)) % 0.45/0.65 (define @t330 () (or @t81 @t323 @t322 @t329 @t320 @t319)) % 0.45/0.65 (define @t331 () (forall @t328 @t330)) % 0.45/0.65 (define @t332 () (@list @t31 @t321 @t318)) % 0.45/0.65 (define @t333 () (forall @t332 @t330)) % 0.45/0.65 (define @t334 () (or @t86 @t323 @t322 @t329 @t320 @t319)) % 0.45/0.65 (define @t335 () (lambda @t88 (forall @t332 @t334))) % 0.45/0.65 (define @t336 () (_ @t335 @t41)) % 0.45/0.65 (define @t337 () (forall @t50 @t336)) % 0.45/0.65 (define @t338 () (or @t320 @t319)) % 0.45/0.65 (define @t339 () (or @t86 @t338 @t323 @t322 @t329)) % 0.45/0.65 (define @t340 () (forall @t332 @t339)) % 0.45/0.65 (define @t341 () (@list @t318)) % 0.45/0.65 (define @t342 () (forall @t341 @t339)) % 0.45/0.65 (define @t343 () (@list @t31 @t321)) % 0.45/0.65 (define @t344 () (forall @t341 @t338)) % 0.45/0.65 (define @t345 () (or @t86 @t344 @t323 @t322 @t329)) % 0.45/0.65 (define @t346 () (or @t86 @t139 @t323 @t322 @t329)) % 0.45/0.65 (define @t347 () (forall @t343 @t346)) % 0.45/0.65 (define @t348 () (lambda @t88 @t347)) % 0.45/0.65 (define @t349 () (or @t86 @t121 @t323 @t322 @t329)) % 0.45/0.65 (define @t350 () (or @t323 @t322 @t329)) % 0.45/0.65 (define @t351 () (or @t86 @t350 @t121)) % 0.45/0.65 (define @t352 () (forall @t343 @t351)) % 0.45/0.65 (define @t353 () (@list @t321)) % 0.45/0.65 (define @t354 () (forall @t353 @t351)) % 0.45/0.65 (define @t355 () (forall @t353 @t350)) % 0.45/0.65 (define @t356 () (@var "BOUND_VARIABLE_8200" $$unsorted)) % 0.45/0.65 (define @t357 () (@list @t356)) % 0.45/0.65 (define @t358 () (or @t86 @t355 @t121)) % 0.45/0.65 (define @t359 () (tptp.icl_false @t356)) % 0.45/0.65 (define @t360 () (not (tptp.admin @t356))) % 0.45/0.65 (define @t361 () (@list @t356)) % 0.45/0.65 (define @t362 () (forall @t361 (or (not (tptp.rel @t31 @t356)) @t360 @t359))) % 0.45/0.65 (define @t363 () (not @t80)) % 0.45/0.65 (define @t364 () (forall @t36 (or @t86 @t363 (tptp.icl_false @t31)))) % 0.45/0.65 (define @t365 () (lambda @t88 @t364)) % 0.45/0.65 (define @t366 () (or @t86 (_ @t365 @t31) @t121)) % 0.45/0.65 (define @t367 () (forall @t36 @t366)) % 0.45/0.65 (define @t368 () (lambda @t122 @t367)) % 0.45/0.65 (define @t369 () (not @t170)) % 0.45/0.65 (define @t370 () (or @t86 @t369 @t177)) % 0.45/0.65 (define @t371 () (not @t173)) % 0.45/0.65 (define @t372 () (or @t86 @t371 @t177)) % 0.45/0.65 (define @t373 () (forall @t36 @t372)) % 0.45/0.65 (define @t374 () (lambda @t178 @t373)) % 0.45/0.65 (define @t375 () (not @t259)) % 0.45/0.65 (define @t376 () (tptp.admin @t258)) % 0.45/0.65 (define @t377 () (not @t376)) % 0.45/0.65 (define @t378 () (or @t304 @t375 @t377 @t375 @t302)) % 0.45/0.65 (define @t379 () (not @t316)) % 0.45/0.65 (define @t380 () (or @t304 @t376 @t375 @t375 @t379 @t376 @t375 @t302)) % 0.45/0.65 (define @t381 () (not @t380)) % 0.45/0.65 (assume @p1 (= tptp.icl_true tptp.mtrue)) % 0.45/0.65 (assume @p2 @t1) % 0.45/0.65 (assume @p3 @t5) % 0.45/0.65 (assume @p4 (forall (@list @t6) (_ tptp.mvalid (_ (_ tptp.mimpl @t7) (_ @t3 @t7))))) % 0.45/0.65 (assume @p5 (_ tptp.iclval (_ (_ tptp.icl_says (_ (_ tptp.icl_impl @t9) tptp.icl_false)) @t8))) % 0.45/0.65 (assume @p6 (_ tptp.iclval (_ (_ tptp.icl_says @t9) (_ (_ tptp.icl_says (_ (_ tptp.icl_impl @t10) @t9)) @t8)))) % 0.45/0.65 (assume @p7 (_ tptp.iclval (_ (_ tptp.icl_says @t10) @t8))) % 0.45/0.65 (assume @p8 @t11) % 0.45/0.65 (assume @p9 true) % 0.45/0.65 (step @p10 (= tptp.mfalse @t14) :rule refl :args (@t14)) % 0.45/0.65 (step @p11 (= tptp.mtrue @t15) :rule refl :args (@t15)) % 0.45/0.65 (step @p12 (= tptp.mnot @t19) :rule refl :args (@t19)) % 0.45/0.65 (step @p13 (= tptp.mor @t23) :rule refl :args (@t23)) % 0.45/0.65 (step @p14 (= tptp.mand @t24) :rule refl :args (@t24)) % 0.45/0.65 (step @p15 (= tptp.mimpl @t29) :rule refl :args (@t29)) % 0.45/0.65 (step @p16 (= tptp.miff @t30) :rule refl :args (@t30)) % 0.45/0.65 (step @p17 (= tptp.mbox @t39) :rule refl :args (@t39)) % 0.45/0.65 (step @p18 (= tptp.mdia @t40) :rule refl :args (@t40)) % 0.45/0.65 (step @p19 (= tptp.mall @t47) :rule refl :args (@t47)) % 0.45/0.65 (step @p20 (= tptp.mexists @t48) :rule refl :args (@t48)) % 0.45/0.65 (step @p21 (= tptp.mvalid @t53) :rule refl :args (@t53)) % 0.45/0.65 (step @p22 (= tptp.msatisfiable @t54) :rule refl :args (@t54)) % 0.45/0.65 (step @p23 (= tptp.mcountersatisfiable @t56) :rule refl :args (@t56)) % 0.45/0.65 (step @p24 (= tptp.minvalid @t57) :rule refl :args (@t57)) % 0.45/0.65 (step @p25 (= tptp.icl_atom @t59) :rule refl :args (@t59)) % 0.45/0.65 (step @p26 (= tptp.icl_princ @t60) :rule refl :args (@t60)) % 0.45/0.65 (step @p27 (= tptp.icl_and @t62) :rule refl :args (@t62)) % 0.45/0.65 (step @p28 (= tptp.icl_or @t64) :rule refl :args (@t64)) % 0.45/0.65 (step @p29 (= tptp.icl_impl @t65) :rule refl :args (@t65)) % 0.45/0.65 (step @p30 (= tptp.icl_says @t68) :rule refl :args (@t68)) % 0.45/0.65 (step @p31 (= tptp.iclval @t70) :rule refl :args (@t70)) % 0.45/0.65 (step @p32 :rule quant-merge-prenex :args ((= (forall @t50 @t85) @t83))) % 0.45/0.65 (step @p33 :rule beta-reduce :args ((= @t90 @t85))) % 0.45/0.65 (step @p34 :rule cong :premises (@p33) :args (@t91)) % 0.45/0.65 (step @p35 :rule trans :premises (@p34 @p32)) % 0.45/0.65 (step @p36 :rule beta-reduce :args ((= (_ @t93 @t89) @t91))) % 0.45/0.65 (step @p37 :rule trans :premises (@p36 @p35)) % 0.45/0.65 (step @p38 :rule aci_norm :args ((= @t95 @t87))) % 0.45/0.65 (step @p39 :rule cong :premises (@p38) :args (@t96)) % 0.45/0.65 (step @p40 :rule quant-merge-prenex :args ((= (forall @t36 @t98) @t96))) % 0.45/0.65 (step @p41 :rule alpha_equiv :args (@t99 (@list @t73 @t75 @t71) (@list @t102 @t101 @t100))) % 0.45/0.65 (step @p42 :rule refl :args (@t80)) % 0.45/0.65 (step @p43 :rule refl :args (@t86)) % 0.45/0.65 (step @p44 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(@t323)) % 0.45/0.65 (step @p546 :rule alpha_equiv :args (@t344 (@list @t318) @t131)) % 0.45/0.65 (step @p547 :rule nary_cong :premises (@p43 @p546 @p545 @p544 @p543) :args (@t345)) % 0.45/0.65 (step @p548 :rule quant-miniscope-or :args ((= @t342 @t345))) % 0.45/0.65 (step @p549 :rule trans :premises (@p548 @p547)) % 0.45/0.65 (step @p550 :rule symm :premises (@p549)) % 0.45/0.65 (step @p551 :rule cong :premises (@p550) :args ((forall @t343 (or @t86 @t135 @t323 @t322 @t329)))) % 0.45/0.65 (step @p552 :rule trans :premises (@p551 @p542)) % 0.45/0.65 (step @p553 :rule trans :premises (@p552 @p541)) % 0.45/0.65 (step @p554 :rule refl :args (@t329)) % 0.45/0.65 (step @p555 :rule nary_cong :premises (@p58 @p86 @p515 @p514 @p554) :args (@t346)) % 0.45/0.65 (step @p556 :rule cong :premises (@p555) :args (@t347)) % 0.45/0.65 (step @p557 :rule trans :premises (@p556 @p553)) % 0.45/0.65 (step @p558 :rule cong :premises (@p557) :args (@t348)) % 0.45/0.65 (step @p559 :rule beta-reduce :args ((= (_ (lambda @t122 (forall @t343 @t349)) @t138) @t348))) % 0.45/0.65 (step @p560 :rule trans :premises (@p559 @p558)) % 0.45/0.65 (step @p561 :rule aci_norm :args ((= @t351 @t349))) % 0.45/0.65 (step @p562 :rule cong :premises (@p561) :args (@t352)) % 0.45/0.65 (step @p563 :rule quant-merge-prenex :args ((= (forall @t36 @t354) @t352))) % 0.45/0.65 (step @p564 :rule alpha_equiv :args (@t355 (@list @t321) @t357)) % 0.45/0.65 (step @p565 :rule nary_cong :premises (@p43 @p564 @p97) :args (@t358)) % 0.45/0.65 (step @p566 :rule quant-miniscope-or :args ((= @t354 @t358))) % 0.45/0.65 (step @p567 :rule trans :premises (@p566 @p565)) % 0.45/0.65 (step @p568 :rule symm :premises (@p567)) % 0.45/0.65 (step @p569 :rule cong :premises (@p568) :args ((forall @t36 (or @t86 @t362 @t121)))) % 0.45/0.65 (step @p570 :rule trans :premises (@p569 @p563)) % 0.45/0.65 (step @p571 :rule trans :premises (@p570 @p562)) % 0.45/0.65 (step @p572 :rule beta-reduce :args ((= (_ (lambda @t88 (forall @t361 (or (not (tptp.rel @t25 @t356)) @t360 @t359))) @t31) @t362))) % 0.45/0.65 (step @p573 :rule alpha_equiv :args (@t364 @t116 @t357)) % 0.45/0.65 (step @p574 :rule cong :premises (@p573) :args (@t365)) % 0.45/0.65 (step @p575 :rule ho_cong :premises (@p574 @p52)) % 0.45/0.65 (step @p576 :rule trans :premises (@p575 @p572)) % 0.45/0.65 (step @p577 :rule nary_cong :premises (@p58 @p576 @p106) :args (@t366)) % 0.45/0.65 (step @p578 :rule cong :premises (@p577) :args (@t367)) % 0.45/0.65 (step @p579 :rule trans :premises (@p578 @p571)) % 0.45/0.65 (step @p580 :rule cong :premises (@p579) :args (@t368)) % 0.45/0.65 (step @p581 :rule beta-reduce :args ((= (_ @t169 @t365) @t368))) % 0.45/0.65 (step @p582 :rule trans :premises (@p581 @p580)) % 0.45/0.65 (step @p583 :rule beta-reduce :args ((= (_ (lambda @t178 (forall @t36 (or @t86 @t363 @t177))) tptp.icl_false) @t365))) % 0.45/0.65 (step @p584 :rule cong :premises (@p122) :args (@t369)) % 0.45/0.65 (step @p585 :rule nary_cong :premises (@p43 @p584 @p135) :args (@t370)) % 0.45/0.65 (step @p586 :rule cong :premises (@p585) :args ((forall @t36 @t370))) % 0.45/0.65 (step @p587 :rule cong :premises (@p126) :args (@t371)) % 0.45/0.65 (step @p588 :rule nary_cong :premises (@p58 @p587 @p144) :args (@t372)) % 0.45/0.65 (step @p589 :rule cong :premises (@p588) :args (@t373)) % 0.45/0.65 (step @p590 :rule trans :premises (@p589 @p586)) % 0.45/0.65 (step @p591 :rule cong :premises (@p590) :args (@t374)) % 0.45/0.65 (step @p592 :rule beta-reduce :args ((= (_ @t190 @t172) @t374))) % 0.45/0.65 (step @p593 :rule trans :premises (@p592 @p591)) % 0.45/0.65 (step @p594 :rule ho_cong :premises (@p154 @p134)) % 0.45/0.65 (step @p595 :rule trans :premises (@p594 @p593)) % 0.45/0.65 (step @p596 :rule ho_cong :premises (@p595 @p525)) % 0.45/0.65 (step @p597 :rule trans :premises (@p596 @p583)) % 0.45/0.65 (step @p598 :rule ho_cong :premises (@p159 @p597)) % 0.45/0.65 (step @p599 :rule trans :premises (@p598 @p582)) % 0.45/0.65 (step @p600 :rule ho_cong :premises (@p599 @p93)) % 0.45/0.65 (step @p601 :rule trans :premises (@p600 @p560)) % 0.45/0.65 (step @p602 :rule ho_cong :premises (@p176 @p601)) % 0.45/0.65 (step @p603 :rule trans :premises (@p602 @p539)) % 0.45/0.65 (step @p604 :rule ho_cong :premises (@p285 @p216)) % 0.45/0.65 (step @p605 :rule ho_cong :premises (@p604 @p525)) % 0.45/0.65 (step @p606 :rule ho_cong :premises (@p320 @p605)) % 0.45/0.65 (step @p607 :rule ho_cong :premises (@p606 @p214)) % 0.45/0.65 (step @p608 :rule ho_cong :premises (@p338 @p607)) % 0.45/0.65 (step @p609 :rule trans :premises (@p608 @p603)) % 0.45/0.65 (step @p610 :rule trans :premises (@p609 @p533)) % 0.45/0.65 (step @p611 :rule eq_resolve :premises (@p5 @p610)) % 0.45/0.65 (step @p612 :rule instantiate :premises (@p611) :args ((@list @t298 @t258 @t258 @t258))) % 0.45/0.65 (step @p613 :rule cnf_or_pos :args (@t378)) % 0.45/0.65 (step @p614 :rule factoring :premises (@p613)) % 0.45/0.65 (step @p615 :rule reordering :premises (@p614) :args ((or @t304 @t302 @t377 @t375 (not @t378)))) % 0.45/0.65 (step @p616 :rule chain_m_resolution :premises (@p615 @p506 @p486 @p424 @p612) :args (@t377 (@list false true false false) (@list @t303 @t302 @t259 @t378))) % 0.45/0.65 (step @p617 :rule cnf_or_pos :args (@t380)) % 0.45/0.65 (step @p618 :rule factoring :premises (@p617)) % 0.45/0.65 (step @p619 :rule reordering :premises (@p618) :args ((or @t304 @t302 @t376 @t379 @t375 @t381))) % 0.45/0.65 (step @p620 :rule chain_m_resolution :premises (@p619 @p506 @p486 @p616 @p509 @p424) :args (@t381 (@list false true true false false) (@list @t303 @t302 @t376 @t316 @t259))) % 0.45/0.65 (assume-push @p629 @t83) % 0.45/0.65 (step @p622 :rule instantiate :premises (@p341) :args ((@list @t298 @t258 @t258 @t258 @t258))) % 0.45/0.65 (step-pop @p630 :rule scope :premises (@p622)) % 0.45/0.65 (step @p623 :rule process_scope :premises (@p630) :args (@t380)) % 0.45/0.65 (step @p625 :rule implies_elim :premises (@p623)) % 0.45/0.65 (step @p626 false :rule chain_m_resolution :premises (@p625 @p620 @p341) :args (false @t310 (@list @t380 @t83))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------