%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL961^11 : TPTP v9.3.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:16 AM UTC 2026 % Result : Theorem 0.22s 0.54s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL961^11 : TPTP v9.3.1. Released v8.1.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.37 % Computer : n010.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 5 05:10:53 UTC 2026 % 0.10/0.38 % CPUTime : % 0.10/0.45 %----Proving TH0 % 0.22/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.22/0.54 % SZS status Theorem % 0.22/0.54 % SZS output start Proof % 0.22/0.54 ( % 0.22/0.54 (declare-sort tptp.mworld 0) % 0.22/0.54 (declare-const tptp.mactual tptp.mworld) % 0.22/0.54 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.22/0.54 (declare-const tptp.q (-> tptp.mworld Bool)) % 0.22/0.54 (declare-const tptp.p (-> tptp.mworld Bool)) % 0.22/0.54 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.22/0.54 (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.22/0.54 (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.22/0.54 (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.22/0.54 (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.22/0.54 (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.22/0.54 (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.22/0.54 (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (and (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.22/0.54 (define @t1 () (@var "W" tptp.mworld)) % 0.22/0.54 (define @t2 () (_ tptp.mrel @t1)) % 0.22/0.54 (define @t3 () (@list @t1)) % 0.22/0.54 (define @t4 () (@var "V" tptp.mworld)) % 0.22/0.54 (define @t5 () (@var "U" tptp.mworld)) % 0.22/0.54 (define @t6 () (_ (_ tptp.mrel @t5) @t4)) % 0.22/0.54 (define @t7 () (_ @t2 @t4)) % 0.22/0.54 (define @t8 () (_ @t2 @t5)) % 0.22/0.54 (define @t9 () (and @t8 @t7)) % 0.22/0.54 (define @t10 () (@list @t1 @t4 @t5)) % 0.22/0.54 (define @t11 () (forall @t10 (=> @t9 @t6))) % 0.22/0.54 (define @t12 () (_ tptp.mbox tptp.p)) % 0.22/0.54 (define @t13 () (_ tptp.mbox tptp.q)) % 0.22/0.54 (define @t14 () (not (_ tptp.mlocal (_ (_ tptp.mor (_ tptp.mbox (_ (_ tptp.mimplies @t12) @t13))) (_ tptp.mbox (_ (_ tptp.mimplies @t13) @t12)))))) % 0.22/0.54 (define @t15 () (@var "Phi" (-> tptp.mworld Bool))) % 0.22/0.54 (define @t16 () (lambda (@list @t15) (_ @t15 tptp.mactual))) % 0.22/0.54 (define @t17 () (@var "A" (-> tptp.mworld Bool))) % 0.22/0.54 (define @t18 () (_ @t17 @t1)) % 0.22/0.54 (define @t19 () (lambda (@list @t17 @t1) (not @t18))) % 0.22/0.54 (define @t20 () (@var "B" (-> tptp.mworld Bool))) % 0.22/0.54 (define @t21 () (_ @t20 @t1)) % 0.22/0.54 (define @t22 () (@list @t17 @t20 @t1)) % 0.22/0.54 (define @t23 () (lambda @t22 (and @t18 @t21))) % 0.22/0.54 (define @t24 () (lambda @t22 (or @t18 @t21))) % 0.22/0.54 (define @t25 () (lambda @t22 (=> @t18 @t21))) % 0.22/0.54 (define @t26 () (lambda @t22 (= @t18 @t21))) % 0.22/0.54 (define @t27 () (_ @t15 @t4)) % 0.22/0.54 (define @t28 () (@list @t4)) % 0.22/0.54 (define @t29 () (forall @t28 (=> @t7 @t27))) % 0.22/0.54 (define @t30 () (@list @t15 @t1)) % 0.22/0.54 (define @t31 () (lambda @t30 @t29)) % 0.22/0.54 (define @t32 () (lambda @t30 (exists @t28 (and @t7 @t27)))) % 0.22/0.54 (define @t33 () (tptp.mrel @t5 @t4)) % 0.22/0.54 (define @t34 () (tptp.mrel @t1 @t4)) % 0.22/0.54 (define @t35 () (not @t7)) % 0.22/0.54 (define @t36 () (tptp.mrel @t1 @t5)) % 0.22/0.54 (define @t37 () (not @t8)) % 0.22/0.54 (define @t38 () (or @t37 @t35 @t6)) % 0.22/0.54 (define @t39 () (@var "BOUND_VARIABLE_7703" tptp.mworld)) % 0.22/0.54 (define @t40 () (tptp.p @t39)) % 0.22/0.54 (define @t41 () (not (tptp.mrel @t4 @t39))) % 0.22/0.54 (define @t42 () (@var "BOUND_VARIABLE_7677" tptp.mworld)) % 0.22/0.54 (define @t43 () (tptp.q @t42)) % 0.22/0.54 (define @t44 () (@list @t42)) % 0.22/0.54 (define @t45 () (forall @t44 (or (not (tptp.mrel @t4 @t42)) @t43))) % 0.22/0.54 (define @t46 () (not @t45)) % 0.22/0.54 (define @t47 () (not (tptp.mrel tptp.mactual @t4))) % 0.22/0.54 (define @t48 () (@list @t4 @t39)) % 0.22/0.54 (define @t49 () (forall @t48 (or @t47 @t46 @t41 @t40))) % 0.22/0.54 (define @t50 () (@quantifiers_skolemize @t49 0)) % 0.22/0.54 (define @t51 () (@var "BOUND_VARIABLE_7634" tptp.mworld)) % 0.22/0.54 (define @t52 () (tptp.q @t51)) % 0.22/0.54 (define @t53 () (not (tptp.mrel @t4 @t51))) % 0.22/0.54 (define @t54 () (@var "BOUND_VARIABLE_7608" tptp.mworld)) % 0.22/0.54 (define @t55 () (tptp.p @t54)) % 0.22/0.54 (define @t56 () (@list @t54)) % 0.22/0.54 (define @t57 () (forall @t56 (or (not (tptp.mrel @t4 @t54)) @t55))) % 0.22/0.54 (define @t58 () (not @t57)) % 0.22/0.54 (define @t59 () (@list @t4 @t51)) % 0.22/0.54 (define @t60 () (forall @t59 (or @t47 @t58 @t53 @t52))) % 0.22/0.54 (define @t61 () (@quantifiers_skolemize @t60 0)) % 0.22/0.54 (define @t62 () (not @t34)) % 0.22/0.54 (define @t63 () (or @t62 @t46 @t41 @t40)) % 0.22/0.54 (define @t64 () (forall @t48 @t63)) % 0.22/0.54 (define @t65 () (or @t62 @t58 @t53 @t52)) % 0.22/0.54 (define @t66 () (forall @t59 @t65)) % 0.22/0.54 (define @t67 () (lambda @t3 (or @t66 @t64))) % 0.22/0.54 (define @t68 () (_ @t67 tptp.mactual)) % 0.22/0.54 (define @t69 () (lambda @t3 @t64)) % 0.22/0.54 (define @t70 () (_ @t69 @t1)) % 0.22/0.54 (define @t71 () (or @t66 @t70)) % 0.22/0.54 (define @t72 () (lambda @t3 @t71)) % 0.22/0.54 (define @t73 () (@list @t20 @t1)) % 0.22/0.54 (define @t74 () (or @t41 @t40)) % 0.22/0.54 (define @t75 () (or @t62 @t46 @t74)) % 0.22/0.54 (define @t76 () (forall @t48 @t75)) % 0.22/0.54 (define @t77 () (@list @t39)) % 0.22/0.54 (define @t78 () (forall @t77 @t75)) % 0.22/0.54 (define @t79 () (forall @t77 @t74)) % 0.22/0.54 (define @t80 () (@var "BOUND_VARIABLE_7669" tptp.mworld)) % 0.22/0.54 (define @t81 () (@list @t80)) % 0.22/0.54 (define @t82 () (or @t62 @t46 @t79)) % 0.22/0.54 (define @t83 () (tptp.p @t80)) % 0.22/0.54 (define @t84 () (@list @t80)) % 0.22/0.54 (define @t85 () (forall @t84 (or (not (tptp.mrel @t4 @t80)) @t83))) % 0.22/0.54 (define @t86 () (or @t62 @t46 @t85)) % 0.22/0.54 (define @t87 () (=> @t45 @t85)) % 0.22/0.54 (define @t88 () (or @t62 @t87)) % 0.22/0.54 (define @t89 () (forall @t28 (or @t62 (tptp.p @t4)))) % 0.22/0.54 (define @t90 () (@list @t4)) % 0.22/0.54 (define @t91 () (forall @t28 (or @t62 (tptp.q @t4)))) % 0.22/0.54 (define @t92 () (=> @t91 @t89)) % 0.22/0.54 (define @t93 () (lambda @t3 @t92)) % 0.22/0.54 (define @t94 () (or @t62 (_ @t93 @t4))) % 0.22/0.54 (define @t95 () (forall @t28 @t94)) % 0.22/0.54 (define @t96 () (lambda @t3 @t95)) % 0.22/0.54 (define @t97 () (_ @t15 @t4)) % 0.22/0.54 (define @t98 () (lambda @t30 (forall @t28 (or @t62 @t97)))) % 0.22/0.54 (define @t99 () (lambda @t3 @t89)) % 0.22/0.54 (define @t100 () (_ @t99 @t1)) % 0.22/0.54 (define @t101 () (=> @t91 @t100)) % 0.22/0.54 (define @t102 () (lambda @t3 @t101)) % 0.22/0.54 (define @t103 () (_ @t98 tptp.p)) % 0.22/0.54 (define @t104 () (lambda @t3 @t91)) % 0.22/0.54 (define @t105 () (_ @t104 @t1)) % 0.22/0.54 (define @t106 () (=> @t105 @t21)) % 0.22/0.54 (define @t107 () (lambda @t73 @t106)) % 0.22/0.54 (define @t108 () (_ @t98 tptp.q)) % 0.22/0.54 (define @t109 () (lambda @t3 @t66)) % 0.22/0.54 (define @t110 () (_ @t109 @t1)) % 0.22/0.54 (define @t111 () (or @t110 @t21)) % 0.22/0.54 (define @t112 () (lambda @t73 @t111)) % 0.22/0.54 (define @t113 () (or @t53 @t52)) % 0.22/0.54 (define @t114 () (or @t62 @t58 @t113)) % 0.22/0.54 (define @t115 () (forall @t59 @t114)) % 0.22/0.54 (define @t116 () (@list @t51)) % 0.22/0.54 (define @t117 () (forall @t116 @t114)) % 0.22/0.54 (define @t118 () (forall @t116 @t113)) % 0.22/0.54 (define @t119 () (@var "BOUND_VARIABLE_7600" tptp.mworld)) % 0.22/0.54 (define @t120 () (@list @t119)) % 0.22/0.54 (define @t121 () (or @t62 @t58 @t118)) % 0.22/0.54 (define @t122 () (tptp.q @t119)) % 0.22/0.54 (define @t123 () (@list @t119)) % 0.22/0.54 (define @t124 () (forall @t123 (or (not (tptp.mrel @t4 @t119)) @t122))) % 0.22/0.54 (define @t125 () (or @t62 @t58 @t124)) % 0.22/0.54 (define @t126 () (=> @t57 @t124)) % 0.22/0.54 (define @t127 () (or @t62 @t126)) % 0.22/0.54 (define @t128 () (=> @t89 @t91)) % 0.22/0.54 (define @t129 () (lambda @t3 @t128)) % 0.22/0.54 (define @t130 () (or @t62 (_ @t129 @t4))) % 0.22/0.54 (define @t131 () (forall @t28 @t130)) % 0.22/0.54 (define @t132 () (lambda @t3 @t131)) % 0.22/0.54 (define @t133 () (=> @t89 @t105)) % 0.22/0.54 (define @t134 () (lambda @t3 @t133)) % 0.22/0.54 (define @t135 () (=> @t100 @t21)) % 0.22/0.54 (define @t136 () (lambda @t73 @t135)) % 0.22/0.54 (define @t137 () (or @t35 @t27)) % 0.22/0.54 (define @t138 () (tptp.mrel tptp.mactual @t50)) % 0.22/0.54 (define @t139 () (@quantifiers_skolemize @t49 1)) % 0.22/0.54 (define @t140 () (tptp.p @t139)) % 0.22/0.54 (define @t141 () (tptp.mrel @t50 @t139)) % 0.22/0.54 (define @t142 () (not @t141)) % 0.22/0.54 (define @t143 () (not @t138)) % 0.22/0.54 (define @t144 () (or @t143 (not (forall @t44 (or (not (tptp.mrel @t50 @t42)) @t43))) @t142 @t140)) % 0.22/0.54 (define @t145 () (@list true)) % 0.22/0.54 (define @t146 () (@list @t144)) % 0.22/0.54 (define @t147 () (tptp.mrel tptp.mactual @t61)) % 0.22/0.54 (define @t148 () (@quantifiers_skolemize @t60 1)) % 0.22/0.54 (define @t149 () (forall @t56 (or (not (tptp.mrel @t61 @t54)) @t55))) % 0.22/0.54 (define @t150 () (not @t149)) % 0.22/0.54 (define @t151 () (not @t147)) % 0.22/0.54 (define @t152 () (or @t151 @t150 (not (tptp.mrel @t61 @t148)) (tptp.q @t148))) % 0.22/0.54 (define @t153 () (@list @t152)) % 0.22/0.54 (define @t154 () (tptp.mrel @t50 @t61)) % 0.22/0.54 (define @t155 () (or @t143 @t151 @t154)) % 0.22/0.54 (define @t156 () (tptp.mrel @t61 @t139)) % 0.22/0.54 (define @t157 () (not @t156)) % 0.22/0.54 (define @t158 () (or @t157 @t140)) % 0.22/0.54 (define @t159 () (@list true false)) % 0.22/0.54 (define @t160 () (not @t154)) % 0.22/0.54 (define @t161 () (or @t160 @t142 @t156)) % 0.22/0.54 (define @t162 () (not @t161)) % 0.22/0.54 (define @t163 () (forall @t10 (or (not @t36) @t62 @t33))) % 0.22/0.54 (assume @p1 (forall @t3 (_ @t2 @t1))) % 0.22/0.54 (assume @p2 @t11) % 0.22/0.54 (assume @p3 @t14) % 0.22/0.54 (assume @p4 true) % 0.22/0.54 (step @p5 (= tptp.mlocal @t16) :rule refl :args (@t16)) % 0.22/0.54 (step @p6 (= tptp.mnot @t19) :rule refl :args (@t19)) % 0.22/0.54 (step @p7 (= tptp.mand @t23) :rule refl :args (@t23)) % 0.22/0.54 (step @p8 (= tptp.mor @t24) :rule refl :args (@t24)) % 0.22/0.54 (step @p9 (= tptp.mimplies @t25) :rule refl :args (@t25)) % 0.22/0.54 (step @p10 (= tptp.mequiv @t26) :rule refl :args (@t26)) % 0.22/0.54 (step @p11 (= tptp.mbox @t31) :rule refl :args (@t31)) % 0.22/0.54 (step @p12 (= tptp.mdia @t32) :rule refl :args (@t32)) % 0.22/0.54 (step @p13 :rule refl :args (@t33)) % 0.22/0.54 (step @p14 :rule refl :args (@t6)) % 0.22/0.54 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t6 @t33))) % 0.22/0.54 (step @p16 :rule symm :premises (@p15)) % 0.22/0.54 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.22/0.54 (step @p18 :rule refl :args (@t34)) % 0.22/0.54 (step @p19 :rule refl :args (@t7)) % 0.22/0.54 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t7 @t34))) % 0.22/0.54 (step @p21 :rule symm :premises (@p20)) % 0.22/0.54 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.22/0.54 (step @p23 :rule cong :premises (@p22) :args (@t35)) % 0.22/0.54 (step @p24 :rule refl :args (@t36)) % 0.22/0.54 (step @p25 :rule refl :args (@t8)) % 0.22/0.54 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t8 @t36))) % 0.22/0.54 (step @p27 :rule symm :premises (@p26)) % 0.22/0.54 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.22/0.54 (step @p29 :rule cong :premises (@p28) :args (@t37)) % 0.22/0.54 (step @p30 :rule nary_cong :premises (@p29 @p23 @p17) :args (@t38)) % 0.22/0.54 (step @p31 :rule cong :premises (@p30) :args ((forall @t10 @t38))) % 0.22/0.54 (step @p32 :rule aci_norm :args ((= (or (or @t37 @t35) @t6) @t38))) % 0.22/0.54 (step @p33 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 0.22/0.54 (step @p34 :rule nary_cong :premises (@p33 @p14) :args ((or (not @t9) @t6))) % 0.22/0.54 (step @p35 :rule trans :premises (@p34 @p32)) % 0.22/0.54 (step @p36 :rule bool-impl-elim :args (@t9 @t6)) % 0.22/0.54 (step @p37 :rule trans :premises (@p36 @p35)) % 0.22/0.54 (step @p38 :rule cong :premises (@p37) :args (@t11)) % 0.22/0.54 (step @p39 :rule trans :premises (@p38 @p31)) % 0.22/0.54 (step @p40 :rule eq_resolve :premises (@p2 @p39)) % 0.22/0.54 (step @p41 :rule instantiate :premises (@p40) :args ((@list tptp.mactual @t61 @t50))) % 0.22/0.54 (step @p42 :rule beta-reduce :args ((= @t68 (or @t60 @t49)))) % 0.22/0.54 (step @p43 :rule beta-reduce :args ((= (_ @t16 @t67) @t68))) % 0.22/0.54 (step @p44 :rule trans :premises (@p43 @p42)) % 0.22/0.54 (step @p45 :rule beta-reduce :args ((= @t70 @t64))) % 0.22/0.54 (step @p46 :rule refl :args (@t66)) % 0.22/0.54 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t71)) % 0.22/0.54 (step @p48 :rule cong :premises (@p47) :args (@t72)) % 0.22/0.54 (step @p49 :rule beta-reduce :args ((= (_ (lambda @t73 (or @t66 @t21)) @t69) @t72))) % 0.22/0.54 (step @p50 :rule trans :premises (@p49 @p48)) % 0.22/0.54 (step @p51 :rule aci_norm :args ((= @t75 @t63))) % 0.22/0.54 (step @p52 :rule cong :premises (@p51) :args (@t76)) % 0.22/0.54 (step @p53 :rule quant-merge-prenex :args ((= (forall @t28 @t78) @t76))) % 0.22/0.54 (step @p54 :rule alpha_equiv :args (@t79 (@list @t39) @t81)) % 0.22/0.54 (step @p55 :rule refl :args (@t46)) % 0.22/0.54 (step @p56 :rule refl :args (@t62)) % 0.22/0.54 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54) :args (@t82)) % 0.22/0.54 (step @p58 :rule quant-miniscope-or :args ((= @t78 @t82))) % 0.22/0.54 (step @p59 :rule trans :premises (@p58 @p57)) % 0.22/0.54 (step @p60 :rule symm :premises (@p59)) % 0.22/0.54 (step @p61 :rule cong :premises (@p60) :args ((forall @t28 @t86))) % 0.22/0.54 (step @p62 :rule trans :premises (@p61 @p53)) % 0.22/0.54 (step @p63 :rule trans :premises (@p62 @p52)) % 0.22/0.54 (step @p64 :rule aci_norm :args ((= (or @t62 (or @t46 @t85)) @t86))) % 0.22/0.54 (step @p65 :rule bool-impl-elim :args (@t45 @t85)) % 0.22/0.54 (step @p66 :rule nary_cong :premises (@p56 @p65) :args (@t88)) % 0.22/0.54 (step @p67 :rule trans :premises (@p66 @p64)) % 0.22/0.54 (step @p68 :rule cong :premises (@p67) :args ((forall @t28 @t88))) % 0.22/0.54 (step @p69 :rule trans :premises (@p68 @p63)) % 0.22/0.54 (step @p70 :rule beta-reduce :args ((= (_ (lambda @t3 (=> (forall @t44 (or (not 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(step @p189 :rule ho_cong :premises (@p8 @p188)) % 0.22/0.55 (step @p190 :rule ho_cong :premises (@p189 @p185)) % 0.22/0.55 (step @p191 :rule ho_cong :premises (@p5 @p190)) % 0.22/0.55 (step @p192 :rule cong :premises (@p191) :args (@t14)) % 0.22/0.55 (step @p193 :rule trans :premises (@p192 @p166)) % 0.22/0.55 (step @p194 :rule eq_resolve :premises (@p3 @p193)) % 0.22/0.55 (step @p195 :rule not_or_elim :premises (@p194) :args (1)) % 0.22/0.55 (step @p196 :rule skolemize :premises (@p195)) % 0.22/0.55 (step @p197 :rule bool-double-not-elim :args (@t138)) % 0.22/0.55 (step @p198 :rule refl :args (@t144)) % 0.22/0.55 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or @t144 (not @t143)))) % 0.22/0.55 (step @p200 :rule cnf_or_neg :args (@t144 0)) % 0.22/0.55 (step @p201 :rule eq_resolve :premises (@p200 @p199)) % 0.22/0.55 (step @p202 :rule reordering :premises (@p201) :args ((or @t138 @t144))) % 0.22/0.55 (step @p203 :rule chain_m_resolution :premises (@p202 @p196) :args (@t138 @t145 @t146)) % 0.22/0.55 (step @p204 :rule not_or_elim :premises (@p194) :args (0)) % 0.22/0.55 (step @p205 :rule skolemize :premises (@p204)) % 0.22/0.55 (step @p206 :rule bool-double-not-elim :args (@t147)) % 0.22/0.55 (step @p207 :rule refl :args (@t152)) % 0.22/0.55 (step @p208 :rule nary_cong :premises (@p207 @p206) :args ((or @t152 (not @t151)))) % 0.22/0.55 (step @p209 :rule cnf_or_neg :args (@t152 0)) % 0.22/0.55 (step @p210 :rule eq_resolve :premises (@p209 @p208)) % 0.22/0.55 (step @p211 :rule reordering :premises (@p210) :args ((or @t147 @t152))) % 0.22/0.55 (step @p212 :rule chain_m_resolution :premises (@p211 @p205) :args (@t147 @t145 @t153)) % 0.22/0.55 (step @p213 :rule cnf_or_pos :args (@t155)) % 0.22/0.55 (step @p214 :rule reordering :premises (@p213) :args ((or @t151 @t143 @t154 (not @t155)))) % 0.22/0.55 (step @p215 :rule chain_m_resolution :premises (@p214 @p212 @p203 @p41) :args (@t154 (@list false false false) (@list @t147 @t138 @t155))) % 0.22/0.55 (step @p216 :rule bool-double-not-elim :args (@t149)) % 0.22/0.55 (step @p217 :rule nary_cong :premises (@p207 @p216) :args ((or @t152 (not @t150)))) % 0.22/0.55 (step @p218 :rule cnf_or_neg :args (@t152 1)) % 0.22/0.55 (step @p219 :rule eq_resolve :premises (@p218 @p217)) % 0.22/0.55 (step @p220 :rule reordering :premises (@p219) :args ((or @t149 @t152))) % 0.22/0.55 (step @p221 :rule chain_m_resolution :premises (@p220 @p205) :args (@t149 @t145 @t153)) % 0.22/0.55 (step @p222 :rule instantiate :premises (@p221) :args ((@list @t139))) % 0.22/0.55 (step @p223 :rule cnf_or_neg :args (@t144 3)) % 0.22/0.55 (step @p224 :rule chain_m_resolution :premises (@p223 @p196) :args ((not @t140) @t145 @t146)) % 0.22/0.55 (step @p225 :rule cnf_or_pos :args (@t158)) % 0.22/0.55 (step @p226 :rule reordering :premises (@p225) :args ((or @t140 @t157 (not @t158)))) % 0.22/0.55 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p222) :args (@t157 @t159 (@list @t140 @t158))) % 0.22/0.55 (step @p228 :rule bool-double-not-elim :args (@t141)) % 0.22/0.55 (step @p229 :rule nary_cong :premises (@p198 @p228) :args ((or @t144 (not @t142)))) % 0.22/0.55 (step @p230 :rule cnf_or_neg :args (@t144 2)) % 0.22/0.55 (step @p231 :rule eq_resolve :premises (@p230 @p229)) % 0.22/0.55 (step @p232 :rule reordering :premises (@p231) :args ((or @t141 @t144))) % 0.22/0.55 (step @p233 :rule chain_m_resolution :premises (@p232 @p196) :args (@t141 @t145 @t146)) % 0.22/0.55 (step @p234 :rule cnf_or_pos :args (@t161)) % 0.22/0.55 (step @p235 :rule reordering :premises (@p234) :args ((or @t142 @t156 @t160 @t162))) % 0.22/0.55 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p227 @p215) :args (@t162 (@list false true false) (@list @t141 @t156 @t154))) % 0.22/0.55 (assume-push @p243 @t163) % 0.22/0.55 (step @p238 :rule instantiate :premises (@p40) :args ((@list @t50 @t139 @t61))) % 0.22/0.55 (step-pop @p244 :rule scope :premises (@p238)) % 0.22/0.55 (step @p239 :rule process_scope :premises (@p244) :args (@t161)) % 0.22/0.55 (step @p241 :rule implies_elim :premises (@p239)) % 0.22/0.55 (step @p242 false :rule chain_m_resolution :premises (@p241 @p236 @p40) :args (false @t159 (@list @t161 @t163))) % 0.22/0.55 ) % 0.22/0.55 % SZS output end Proof % 0.22/0.55 % cvc5 exiting %------------------------------------------------------------------------------