%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU664^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:52:38 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU664^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n006.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:45:04 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.39/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.cartprodsndpairEq Bool) % 0.39/0.58 (declare-const tptp.kfst (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.cartprodmempair1 Bool) % 0.39/0.58 (declare-const tptp.cartprodfstpairEq Bool) % 0.39/0.58 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.ksnd (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (define @t1 () (@var "Xy" $$unsorted)) % 0.39/0.58 (define @t2 () (@var "Xx" $$unsorted)) % 0.39/0.58 (define @t3 () (_ (_ tptp.kpair @t2) @t1)) % 0.39/0.58 (define @t4 () (@var "Xu" $$unsorted)) % 0.39/0.58 (define @t5 () (= @t4 @t3)) % 0.39/0.58 (define @t6 () (@var "B" $$unsorted)) % 0.39/0.58 (define @t7 () (_ (_ tptp.in @t1) @t6)) % 0.39/0.58 (define @t8 () (and @t7 @t5)) % 0.39/0.58 (define @t9 () (@list @t1)) % 0.39/0.58 (define @t10 () (exists @t9 @t8)) % 0.39/0.58 (define @t11 () (@var "A" $$unsorted)) % 0.39/0.58 (define @t12 () (_ (_ tptp.in @t2) @t11)) % 0.39/0.58 (define @t13 () (and @t12 @t10)) % 0.39/0.58 (define @t14 () (@list @t2)) % 0.39/0.58 (define @t15 () (exists @t14 @t13)) % 0.39/0.58 (define @t16 () (_ (_ tptp.cartprod @t11) @t6)) % 0.39/0.58 (define @t17 () (_ tptp.in @t4)) % 0.39/0.58 (define @t18 () (_ @t17 @t16)) % 0.39/0.58 (define @t19 () (=> @t18 @t15)) % 0.39/0.58 (define @t20 () (@list @t11 @t6 @t4)) % 0.39/0.58 (define @t21 () (forall @t20 @t19)) % 0.39/0.58 (define @t22 () (= tptp.cartprodmempair1 @t21)) % 0.39/0.58 (define @t23 () (_ tptp.kfst @t3)) % 0.39/0.58 (define @t24 () (=> @t7 (= @t23 @t2))) % 0.39/0.58 (define @t25 () (forall @t9 @t24)) % 0.39/0.58 (define @t26 () (=> @t12 @t25)) % 0.39/0.58 (define @t27 () (@list @t11 @t6 @t2)) % 0.39/0.58 (define @t28 () (forall @t27 @t26)) % 0.39/0.58 (define @t29 () (= tptp.cartprodfstpairEq @t28)) % 0.39/0.58 (define @t30 () (_ tptp.ksnd @t3)) % 0.39/0.58 (define @t31 () (=> @t7 (= @t30 @t1))) % 0.39/0.58 (define @t32 () (forall @t9 @t31)) % 0.39/0.58 (define @t33 () (=> @t12 @t32)) % 0.39/0.58 (define @t34 () (forall @t27 @t33)) % 0.39/0.58 (define @t35 () (= tptp.cartprodsndpairEq @t34)) % 0.39/0.58 (define @t36 () (_ tptp.ksnd @t4)) % 0.39/0.58 (define @t37 () (_ tptp.kfst @t4)) % 0.39/0.58 (define @t38 () (_ (_ tptp.kpair @t37) @t36)) % 0.39/0.58 (define @t39 () (=> @t18 (= @t38 @t4))) % 0.39/0.58 (define @t40 () (forall @t20 @t39)) % 0.39/0.58 (define @t41 () (=> tptp.cartprodsndpairEq @t40)) % 0.39/0.58 (define @t42 () (=> tptp.cartprodfstpairEq @t41)) % 0.39/0.58 (define @t43 () (=> tptp.cartprodmempair1 @t42)) % 0.39/0.58 (define @t44 () (not @t43)) % 0.39/0.58 (define @t45 () (tptp.ksnd @t4)) % 0.39/0.58 (define @t46 () (tptp.kfst @t4)) % 0.39/0.58 (define @t47 () (tptp.kpair @t46 @t45)) % 0.39/0.58 (define @t48 () (tptp.cartprod @t11 @t6)) % 0.39/0.58 (define @t49 () (tptp.in @t4 @t48)) % 0.39/0.58 (define @t50 () (not @t49)) % 0.39/0.58 (define @t51 () (forall @t20 (or @t50 (= @t4 @t47)))) % 0.39/0.58 (define @t52 () (@var "BOUND_VARIABLE_7571" $$unsorted)) % 0.39/0.58 (define @t53 () (= @t52 (tptp.ksnd (tptp.kpair @t2 @t52)))) % 0.39/0.58 (define @t54 () (not (tptp.in @t52 @t6))) % 0.39/0.58 (define @t55 () (tptp.in @t2 @t11)) % 0.39/0.58 (define @t56 () (not @t55)) % 0.39/0.58 (define @t57 () (or @t54 @t53)) % 0.39/0.58 (define @t58 () (or @t56 @t57)) % 0.39/0.58 (define @t59 () (forall (@list @t11 @t6 @t2 @t52) @t58)) % 0.39/0.58 (define @t60 () (@list @t52)) % 0.39/0.58 (define @t61 () (forall @t60 @t58)) % 0.39/0.58 (define @t62 () (forall @t60 @t57)) % 0.39/0.58 (define @t63 () (@list @t1)) % 0.39/0.58 (define @t64 () (or @t56 @t62)) % 0.39/0.58 (define @t65 () (tptp.kpair @t2 @t1)) % 0.39/0.58 (define @t66 () (tptp.ksnd @t65)) % 0.39/0.58 (define @t67 () (tptp.in @t1 @t6)) % 0.39/0.58 (define @t68 () (not @t67)) % 0.39/0.58 (define @t69 () (forall @t9 (or @t68 (= @t1 @t66)))) % 0.39/0.58 (define @t70 () (not @t12)) % 0.39/0.58 (define @t71 () (or @t70 @t69)) % 0.39/0.58 (define @t72 () (= @t1 @t30)) % 0.39/0.58 (define @t73 () (not @t7)) % 0.39/0.58 (define @t74 () (or @t73 @t72)) % 0.39/0.58 (define @t75 () (=> tptp.cartprodsndpairEq @t51)) % 0.39/0.58 (define @t76 () (@var "BOUND_VARIABLE_7540" $$unsorted)) % 0.39/0.58 (define @t77 () (= @t2 (tptp.kfst (tptp.kpair @t2 @t76)))) % 0.39/0.58 (define @t78 () (not (tptp.in @t76 @t6))) % 0.39/0.58 (define @t79 () (or @t78 @t77)) % 0.39/0.58 (define @t80 () (or @t56 @t79)) % 0.39/0.58 (define @t81 () (forall (@list @t11 @t6 @t2 @t76) @t80)) % 0.39/0.58 (define @t82 () (@list @t76)) % 0.39/0.58 (define @t83 () (forall @t82 @t80)) % 0.39/0.58 (define @t84 () (forall @t82 @t79)) % 0.39/0.58 (define @t85 () (or @t56 @t84)) % 0.39/0.58 (define @t86 () (tptp.kfst @t65)) % 0.39/0.58 (define @t87 () (forall @t9 (or @t68 (= @t2 @t86)))) % 0.39/0.58 (define @t88 () (or @t70 @t87)) % 0.39/0.58 (define @t89 () (= @t2 @t23)) % 0.39/0.58 (define @t90 () (or @t73 @t89)) % 0.39/0.58 (define @t91 () (=> tptp.cartprodfstpairEq @t75)) % 0.39/0.58 (define @t92 () (@var "BOUND_VARIABLE_7497" $$unsorted)) % 0.39/0.58 (define @t93 () (tptp.kpair @t2 @t92)) % 0.39/0.58 (define @t94 () (not (= @t4 @t93))) % 0.39/0.58 (define @t95 () (not (tptp.in @t92 @t6))) % 0.39/0.58 (define @t96 () (or @t56 @t95 @t94)) % 0.39/0.58 (define @t97 () (@list @t2 @t92)) % 0.39/0.58 (define @t98 () (not (forall @t97 @t96))) % 0.39/0.58 (define @t99 () (not @t18)) % 0.39/0.58 (define @t100 () (or @t99 @t98)) % 0.39/0.58 (define @t101 () (or @t95 @t94)) % 0.39/0.58 (define @t102 () (or @t56 @t101)) % 0.39/0.58 (define @t103 () (forall @t97 @t102)) % 0.39/0.58 (define @t104 () (@list @t92)) % 0.39/0.58 (define @t105 () (forall @t104 @t102)) % 0.39/0.58 (define @t106 () (forall @t104 @t101)) % 0.39/0.58 (define @t107 () (or @t56 @t106)) % 0.39/0.58 (define @t108 () (forall @t9 (or @t68 (not (= @t4 @t65))))) % 0.39/0.58 (define @t109 () (or @t70 @t108)) % 0.39/0.58 (define @t110 () (not @t108)) % 0.39/0.58 (define @t111 () (and @t12 @t110)) % 0.39/0.58 (define @t112 () (forall @t14 (not @t111))) % 0.39/0.58 (define @t113 () (not @t112)) % 0.39/0.58 (define @t114 () (not @t5)) % 0.39/0.58 (define @t115 () (or @t73 @t114)) % 0.39/0.58 (define @t116 () (forall @t9 (not @t8))) % 0.39/0.58 (define @t117 () (not @t116)) % 0.39/0.58 (define @t118 () (=> tptp.cartprodmempair1 @t91)) % 0.39/0.58 (define @t119 () (= @t4 @t38)) % 0.39/0.58 (define @t120 () (or @t99 @t119)) % 0.39/0.58 (define @t121 () (@quantifiers_skolemize @t51 2)) % 0.39/0.58 (define @t122 () (= @t121 (tptp.kpair (tptp.kfst @t121) (tptp.ksnd @t121)))) % 0.39/0.58 (define @t123 () (@quantifiers_skolemize @t51 1)) % 0.39/0.58 (define @t124 () (@quantifiers_skolemize @t51 0)) % 0.39/0.58 (define @t125 () (tptp.in @t121 (tptp.cartprod @t124 @t123))) % 0.39/0.58 (define @t126 () (not @t125)) % 0.39/0.58 (define @t127 () (or @t126 @t122)) % 0.39/0.58 (define @t128 () (@list true)) % 0.39/0.58 (define @t129 () (@list @t127)) % 0.39/0.58 (define @t130 () (not (= @t121 @t93))) % 0.39/0.58 (define @t131 () (not (tptp.in @t92 @t123))) % 0.39/0.58 (define @t132 () (not (tptp.in @t2 @t124))) % 0.39/0.58 (define @t133 () (or @t132 @t131 @t130)) % 0.39/0.58 (define @t134 () (forall @t97 @t133)) % 0.39/0.58 (define @t135 () (not @t134)) % 0.39/0.58 (define @t136 () (or @t126 @t135)) % 0.39/0.58 (define @t137 () (forall @t20 (or @t50 @t98))) % 0.39/0.58 (define @t138 () (forall @t97 (or @t132 @t131 (not (= @t93 @t121))))) % 0.39/0.58 (define @t139 () (not @t138)) % 0.39/0.58 (define @t140 () (or @t126 @t139)) % 0.39/0.58 (define @t141 () (@quantifiers_skolemize @t138 1)) % 0.39/0.58 (define @t142 () (@quantifiers_skolemize @t138 0)) % 0.39/0.58 (define @t143 () (tptp.kpair @t142 @t141)) % 0.39/0.58 (define @t144 () (= @t121 @t143)) % 0.39/0.58 (define @t145 () (not @t144)) % 0.39/0.58 (define @t146 () (tptp.in @t141 @t123)) % 0.39/0.58 (define @t147 () (not @t146)) % 0.39/0.58 (define @t148 () (tptp.in @t142 @t124)) % 0.39/0.58 (define @t149 () (not @t148)) % 0.39/0.58 (define @t150 () (or @t149 @t147 @t145)) % 0.39/0.58 (define @t151 () (not @t150)) % 0.39/0.58 (define @t152 () (not (= @t143 @t121))) % 0.39/0.58 (define @t153 () (or @t149 @t147 @t152)) % 0.39/0.58 (define @t154 () (not @t153)) % 0.39/0.58 (define @t155 () (@list @t150)) % 0.39/0.58 (define @t156 () (@list @t124 @t123 @t142 @t141)) % 0.39/0.58 (define @t157 () (tptp.kfst @t143)) % 0.39/0.58 (define @t158 () (= @t142 @t157)) % 0.39/0.58 (define @t159 () (or @t149 @t147 @t158)) % 0.39/0.58 (define @t160 () (@list false false false)) % 0.39/0.58 (define @t161 () (tptp.ksnd @t143)) % 0.39/0.58 (define @t162 () (= @t141 @t161)) % 0.39/0.58 (define @t163 () (or @t149 @t147 @t162)) % 0.39/0.58 (define @t164 () (and @t144 @t158 @t162)) % 0.39/0.58 (assume @p1 @t22) % 0.39/0.58 (assume @p2 @t29) % 0.39/0.58 (assume @p3 @t35) % 0.39/0.58 (assume @p4 @t44) % 0.39/0.58 (assume @p5 true) % 0.39/0.58 (step @p6 :rule refl :args (@t51)) % 0.39/0.58 (step @p7 :rule aci_norm :args ((= @t58 (or @t56 @t54 @t53)))) % 0.39/0.58 (step @p8 :rule cong :premises (@p7) :args (@t59)) % 0.39/0.58 (step @p9 :rule quant-merge-prenex :args ((= (forall @t27 @t61) @t59))) % 0.39/0.58 (step @p10 :rule alpha_equiv :args (@t62 (@list @t52) @t63)) % 0.39/0.58 (step @p11 :rule refl :args (@t56)) % 0.39/0.58 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t64)) % 0.39/0.58 (step @p13 :rule quant-miniscope-or :args ((= @t61 @t64))) % 0.39/0.58 (step @p14 :rule trans :premises (@p13 @p12)) % 0.39/0.58 (step @p15 :rule symm :premises (@p14)) % 0.39/0.58 (step @p16 :rule cong :premises (@p15) :args ((forall @t27 (or @t56 @t69)))) % 0.39/0.58 (step @p17 :rule trans :premises (@p16 @p9)) % 0.39/0.58 (step @p18 :rule trans :premises (@p17 @p8)) % 0.39/0.58 (step @p19 :rule refl :args (@t69)) % 0.39/0.58 (step @p20 :rule refl :args (@t55)) % 0.39/0.58 (step @p21 :rule refl :args (@t12)) % 0.39/0.58 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t12 @t55))) % 0.39/0.58 (step @p23 :rule symm :premises (@p22)) % 0.39/0.58 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.39/0.58 (step @p25 :rule cong :premises (@p24) :args (@t70)) % 0.39/0.58 (step @p26 :rule nary_cong :premises (@p25 @p19) :args (@t71)) % 0.39/0.58 (step @p27 :rule cong :premises (@p26) :args ((forall @t27 @t71))) % 0.39/0.58 (step @p28 :rule trans :premises (@p27 @p18)) % 0.39/0.58 (step @p29 :rule bool-impl-elim :args (@t12 @t69)) % 0.39/0.58 (step @p30 :rule cong :premises (@p29) :args ((forall @t27 (=> @t12 @t69)))) % 0.39/0.58 (step @p31 :rule trans :premises (@p30 @p28)) % 0.39/0.58 (step @p32 :rule refl :args ((tptp.ksnd @t3))) % 0.39/0.58 (step @p33 :rule refl :args (@t65)) % 0.39/0.58 (step @p34 :rule cong :premises (@p33) :args (@t66)) % 0.39/0.58 (step @p35 :rule trans :premises (@p34 @p32)) % 0.39/0.58 (step @p36 :rule refl :args (tptp.ksnd)) % 0.39/0.58 (step @p37 :rule ho_cong :premises (@p36 @p33)) % 0.39/0.58 (step @p38 :rule cong :premises (@p37 @p35) :args ((= (_ tptp.ksnd @t65) @t66))) % 0.39/0.58 (step @p39 :rule symm :premises (@p38)) % 0.39/0.58 (step @p40 :rule refl :args (@t30)) % 0.39/0.58 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.39/0.58 (step @p42 :rule refl :args (@t3)) % 0.39/0.58 (step @p43 :rule cong :premises (@p42 @p33) :args ((= @t3 @t65))) % 0.39/0.58 (step @p44 :rule symm :premises (@p43)) % 0.39/0.58 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.39/0.58 (step @p46 :rule ho_cong :premises (@p36 @p45)) % 0.39/0.58 (step @p47 :rule trans :premises (@p46 @p41)) % 0.39/0.58 (step @p48 :rule refl :args (@t1)) % 0.39/0.58 (step @p49 :rule cong :premises (@p48 @p47) :args (@t72)) % 0.39/0.58 (step @p50 :rule refl :args (@t67)) % 0.39/0.58 (step @p51 :rule refl :args (@t7)) % 0.39/0.58 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t7 @t67))) % 0.39/0.58 (step @p53 :rule symm :premises (@p52)) % 0.39/0.58 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.39/0.58 (step @p55 :rule cong :premises (@p54) :args (@t73)) % 0.39/0.58 (step @p56 :rule nary_cong :premises (@p55 @p49) :args (@t74)) % 0.39/0.58 (step @p57 :rule cong :premises (@p56) :args ((forall @t9 @t74))) % 0.39/0.58 (step @p58 :rule bool-impl-elim :args (@t7 @t72)) % 0.39/0.58 (step @p59 :rule cong :premises (@p58) :args ((forall @t9 (=> @t7 @t72)))) % 0.39/0.58 (step @p60 :rule trans :premises (@p59 @p57)) % 0.39/0.58 (step @p61 :rule eq-symm :args (@t30 @t1)) % 0.39/0.58 (step @p62 :rule refl :args (@t7)) % 0.39/0.58 (step @p63 :rule cong :premises (@p62 @p61) :args (@t31)) % 0.39/0.58 (step @p64 :rule cong :premises (@p63) :args (@t32)) % 0.39/0.58 (step @p65 :rule trans :premises (@p64 @p60)) % 0.39/0.58 (step @p66 :rule refl :args (@t12)) % 0.39/0.58 (step @p67 :rule cong :premises (@p66 @p65) :args (@t33)) % 0.39/0.58 (step @p68 :rule cong :premises (@p67) :args (@t34)) % 0.39/0.58 (step @p69 :rule trans :premises (@p68 @p31)) % 0.39/0.58 (step @p70 :rule refl :args (tptp.cartprodsndpairEq)) % 0.39/0.58 (step @p71 :rule cong :premises (@p70 @p69) :args (@t35)) % 0.39/0.58 (step @p72 :rule eq_resolve :premises (@p3 @p71)) % 0.39/0.58 (step @p73 :rule cong :premises (@p72 @p6) :args (@t75)) % 0.39/0.58 (step @p74 :rule aci_norm :args ((= @t80 (or @t56 @t78 @t77)))) % 0.39/0.58 (step @p75 :rule cong :premises (@p74) :args (@t81)) % 0.39/0.58 (step @p76 :rule quant-merge-prenex :args ((= (forall @t27 @t83) @t81))) % 0.39/0.58 (step @p77 :rule alpha_equiv :args (@t84 (@list @t76) @t63)) % 0.39/0.58 (step @p78 :rule nary_cong :premises (@p11 @p77) :args (@t85)) % 0.39/0.58 (step @p79 :rule quant-miniscope-or :args ((= @t83 @t85))) % 0.39/0.58 (step @p80 :rule trans :premises (@p79 @p78)) % 0.39/0.58 (step @p81 :rule symm :premises (@p80)) % 0.39/0.58 (step @p82 :rule cong :premises (@p81) :args ((forall @t27 (or @t56 @t87)))) % 0.39/0.58 (step @p83 :rule trans :premises (@p82 @p76)) % 0.39/0.58 (step @p84 :rule trans :premises (@p83 @p75)) % 0.39/0.58 (step @p85 :rule refl :args (@t87)) % 0.39/0.58 (step @p86 :rule nary_cong :premises (@p25 @p85) :args (@t88)) % 0.39/0.58 (step @p87 :rule cong :premises (@p86) :args ((forall @t27 @t88))) % 0.39/0.58 (step @p88 :rule trans :premises (@p87 @p84)) % 0.39/0.58 (step @p89 :rule bool-impl-elim :args (@t12 @t87)) % 0.39/0.58 (step @p90 :rule cong :premises (@p89) :args ((forall @t27 (=> @t12 @t87)))) % 0.39/0.58 (step @p91 :rule trans :premises (@p90 @p88)) % 0.39/0.58 (step @p92 :rule refl :args ((tptp.kfst @t3))) % 0.39/0.58 (step @p93 :rule cong :premises (@p33) :args (@t86)) % 0.39/0.58 (step @p94 :rule trans :premises (@p93 @p92)) % 0.39/0.58 (step @p95 :rule refl :args (tptp.kfst)) % 0.39/0.58 (step @p96 :rule ho_cong :premises (@p95 @p33)) % 0.39/0.58 (step @p97 :rule cong :premises (@p96 @p94) :args ((= (_ tptp.kfst @t65) @t86))) % 0.39/0.58 (step @p98 :rule symm :premises (@p97)) % 0.39/0.58 (step @p99 :rule refl :args (@t23)) % 0.39/0.58 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.39/0.58 (step @p101 :rule ho_cong :premises (@p95 @p45)) % 0.39/0.58 (step @p102 :rule trans :premises (@p101 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(step @p279 :rule process_scope :premises (@p336) :args (@t154)) % 0.39/0.58 (step @p281 :rule eq_resolve :premises (@p279 @p276)) % 0.39/0.58 (step @p282 :rule implies_elim :premises (@p281)) % 0.39/0.58 (step @p283 :rule eq_resolve :premises (@p282 @p268)) % 0.39/0.58 (step @p284 :rule chain_m_resolution :premises (@p283 @p265) :args (@t151 @t128 (@list @t138))) % 0.39/0.58 (step @p285 :rule bool-double-not-elim :args (@t144)) % 0.39/0.58 (step @p286 :rule refl :args (@t150)) % 0.39/0.58 (step @p287 :rule nary_cong :premises (@p286 @p285) :args ((or @t150 (not @t145)))) % 0.39/0.58 (step @p288 :rule cnf_or_neg :args (@t150 2)) % 0.39/0.58 (step @p289 :rule eq_resolve :premises (@p288 @p287)) % 0.39/0.58 (step @p290 :rule reordering :premises (@p289) :args ((or @t144 @t150))) % 0.39/0.58 (step @p291 :rule chain_m_resolution :premises (@p290 @p284) :args (@t144 @t128 @t155)) % 0.39/0.58 (step @p292 :rule not_implies_elim1 :premises (@p231)) % 0.39/0.58 (step @p293 :rule instantiate 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:rule cnf_or_pos :args (@t159)) % 0.39/0.58 (step @p307 :rule reordering :premises (@p306) :args ((or @t149 @t147 @t158 (not @t159)))) % 0.39/0.58 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p299 @p293) :args (@t158 @t160 (@list @t148 @t146 @t159))) % 0.39/0.58 (step @p309 :rule not_implies_elim1 :premises (@p232)) % 0.39/0.58 (step @p310 :rule instantiate :premises (@p309) :args (@t156)) % 0.39/0.58 (step @p311 :rule cnf_or_pos :args (@t163)) % 0.39/0.58 (step @p312 :rule reordering :premises (@p311) :args ((or @t149 @t147 @t162 (not @t163)))) % 0.39/0.58 (step @p313 :rule chain_m_resolution :premises (@p312 @p305 @p299 @p310) :args (@t162 @t160 (@list @t148 @t146 @t163))) % 0.39/0.58 (assume-push @p337 @t144) % 0.39/0.58 (assume-push @p338 @t158) % 0.39/0.58 (assume-push @p339 @t162) % 0.39/0.58 (step @p317 :rule symm :premises (@p291)) % 0.39/0.58 (step @p318 :rule cong :premises (@p317) :args (@t161)) % 0.39/0.58 (step @p319 :rule trans :premises (@p313 @p318)) % 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@t122))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------