%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU781^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:53:10 AM UTC 2026 % Result : Theorem 0.40s 0.60s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU781^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:50:16 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TH0 % 0.40/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.60 % SZS status Theorem % 0.40/0.60 % SZS output start Proof % 0.40/0.60 ( % 0.40/0.60 (declare-sort $$unsorted 0) % 0.40/0.60 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.breln1compE Bool) % 0.40/0.60 (declare-const tptp.breln1compset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (define tptp.breln () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (let ((_let_3 (@var "C" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (_ (_ tptp.subset _let_3) (_ (_ tptp.cartprod _let_2) _let_1))))))) % 0.40/0.60 (define tptp.breln1 () (let ((_let_1 (@var "R" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.breln _let_2) _let_2) _let_1))))) % 0.40/0.60 (define @t1 () (@var "S" $$unsorted)) % 0.40/0.60 (define @t2 () (@var "Xy" $$unsorted)) % 0.40/0.60 (define @t3 () (@var "Xz" $$unsorted)) % 0.40/0.60 (define @t4 () (_ (_ tptp.kpair @t3) @t2)) % 0.40/0.60 (define @t5 () (_ (_ tptp.in @t4) @t1)) % 0.40/0.60 (define @t6 () (@var "R" $$unsorted)) % 0.40/0.60 (define @t7 () (@var "Xx" $$unsorted)) % 0.40/0.60 (define @t8 () (_ tptp.kpair @t7)) % 0.40/0.60 (define @t9 () (_ @t8 @t3)) % 0.40/0.60 (define @t10 () (_ (_ tptp.in @t9) @t6)) % 0.40/0.60 (define @t11 () (@var "A" $$unsorted)) % 0.40/0.60 (define @t12 () (_ (_ tptp.in @t3) @t11)) % 0.40/0.60 (define @t13 () (and @t12 @t10 @t5)) % 0.40/0.60 (define @t14 () (@list @t3)) % 0.40/0.60 (define @t15 () (exists @t14 @t13)) % 0.40/0.60 (define @t16 () (_ (_ (_ tptp.breln1compset @t11) @t6) @t1)) % 0.40/0.60 (define @t17 () (_ @t8 @t2)) % 0.40/0.60 (define @t18 () (_ (_ tptp.in @t17) @t16)) % 0.40/0.60 (define @t19 () (=> @t18 @t15)) % 0.40/0.60 (define @t20 () (_ (_ tptp.in @t2) @t11)) % 0.40/0.60 (define @t21 () (=> @t20 @t19)) % 0.40/0.60 (define @t22 () (@list @t2)) % 0.40/0.60 (define @t23 () (forall @t22 @t21)) % 0.40/0.60 (define @t24 () (_ (_ tptp.in @t7) @t11)) % 0.40/0.60 (define @t25 () (=> @t24 @t23)) % 0.40/0.60 (define @t26 () (@list @t7)) % 0.40/0.60 (define @t27 () (forall @t26 @t25)) % 0.40/0.60 (define @t28 () (_ tptp.breln1 @t11)) % 0.40/0.60 (define @t29 () (_ @t28 @t1)) % 0.40/0.60 (define @t30 () (=> @t29 @t27)) % 0.40/0.60 (define @t31 () (@list @t1)) % 0.40/0.60 (define @t32 () (forall @t31 @t30)) % 0.40/0.60 (define @t33 () (_ @t28 @t6)) % 0.40/0.60 (define @t34 () (=> @t33 @t32)) % 0.40/0.60 (define @t35 () (@list @t11 @t6)) % 0.40/0.60 (define @t36 () (forall @t35 @t34)) % 0.40/0.60 (define @t37 () (= tptp.breln1compE @t36)) % 0.40/0.60 (define @t38 () (@var "Xphi" Bool)) % 0.40/0.60 (define @t39 () (=> @t5 @t38)) % 0.40/0.60 (define @t40 () (=> @t10 @t39)) % 0.40/0.60 (define @t41 () (forall @t14 (=> @t12 @t40))) % 0.40/0.60 (define @t42 () (=> @t41 @t38)) % 0.40/0.60 (define @t43 () (@list @t38)) % 0.40/0.60 (define @t44 () (forall @t43 @t42)) % 0.40/0.60 (define @t45 () (=> @t18 @t44)) % 0.40/0.60 (define @t46 () (=> @t20 @t45)) % 0.40/0.60 (define @t47 () (forall @t22 @t46)) % 0.40/0.60 (define @t48 () (=> @t24 @t47)) % 0.40/0.60 (define @t49 () (forall @t26 @t48)) % 0.40/0.60 (define @t50 () (=> @t29 @t49)) % 0.40/0.60 (define @t51 () (forall @t31 @t50)) % 0.40/0.60 (define @t52 () (=> @t33 @t51)) % 0.40/0.60 (define @t53 () (forall @t35 @t52)) % 0.40/0.60 (define @t54 () (=> tptp.breln1compE @t53)) % 0.40/0.60 (define @t55 () (not @t54)) % 0.40/0.60 (define @t56 () (@var "B" $$unsorted)) % 0.40/0.60 (define @t57 () (_ tptp.cartprod @t11)) % 0.40/0.60 (define @t58 () (@var "C" $$unsorted)) % 0.40/0.60 (define @t59 () (_ tptp.subset @t58)) % 0.40/0.60 (define @t60 () (_ @t59 (_ @t57 @t56))) % 0.40/0.60 (define @t61 () (lambda (@list @t11 @t56 @t58) @t60)) % 0.40/0.60 (define @t62 () (lambda @t35 (_ (_ (_ tptp.breln @t11) @t11) @t6))) % 0.40/0.60 (define @t63 () (@var "BOUND_VARIABLE_7658" $$unsorted)) % 0.40/0.60 (define @t64 () (@var "BOUND_VARIABLE_7662" $$unsorted)) % 0.40/0.60 (define @t65 () (@var "BOUND_VARIABLE_7660" $$unsorted)) % 0.40/0.60 (define @t66 () (tptp.in @t3 @t11)) % 0.40/0.60 (define @t67 () (not @t66)) % 0.40/0.60 (define @t68 () (not (forall @t14 (or @t67 (not (tptp.in (tptp.kpair @t65 @t3) @t6)) (not (tptp.in (tptp.kpair @t3 @t64) @t63)))))) % 0.40/0.60 (define @t69 () (not (tptp.in (tptp.kpair @t65 @t64) (tptp.breln1compset @t11 @t6 @t63)))) % 0.40/0.60 (define @t70 () (not (tptp.in @t64 @t11))) % 0.40/0.60 (define @t71 () (not (tptp.in @t65 @t11))) % 0.40/0.60 (define @t72 () (tptp.cartprod @t11 @t11)) % 0.40/0.60 (define @t73 () (not (tptp.subset @t63 @t72))) % 0.40/0.60 (define @t74 () (tptp.subset @t6 @t72)) % 0.40/0.60 (define @t75 () (not @t74)) % 0.40/0.60 (define @t76 () (or @t75 @t73 @t71 @t70 @t69 @t68)) % 0.40/0.60 (define @t77 () (or @t73 @t71 @t70 @t69 @t68)) % 0.40/0.60 (define @t78 () (or @t75 @t77)) % 0.40/0.60 (define @t79 () (@list @t11 @t6 @t63 @t65 @t64)) % 0.40/0.60 (define @t80 () (forall @t79 @t78)) % 0.40/0.60 (define @t81 () (@list @t63 @t65 @t64)) % 0.40/0.60 (define @t82 () (forall @t81 @t78)) % 0.40/0.60 (define @t83 () (forall @t81 @t77)) % 0.40/0.60 (define @t84 () (@var "BOUND_VARIABLE_7624" $$unsorted)) % 0.40/0.60 (define @t85 () (@var "BOUND_VARIABLE_7622" $$unsorted)) % 0.40/0.60 (define @t86 () (or @t75 @t83)) % 0.40/0.60 (define @t87 () (not (forall @t14 (or @t67 (not (tptp.in (tptp.kpair @t85 @t3) @t6)) (not (tptp.in (tptp.kpair @t3 @t84) @t1)))))) % 0.40/0.60 (define @t88 () (tptp.breln1compset @t11 @t6 @t1)) % 0.40/0.60 (define @t89 () (not (tptp.in (tptp.kpair @t85 @t84) @t88))) % 0.40/0.60 (define @t90 () (not (tptp.in @t84 @t11))) % 0.40/0.60 (define @t91 () (not (tptp.in @t85 @t11))) % 0.40/0.60 (define @t92 () (tptp.subset @t1 @t72)) % 0.40/0.60 (define @t93 () (not @t92)) % 0.40/0.60 (define @t94 () (or @t93 @t91 @t90 @t89 @t87)) % 0.40/0.60 (define @t95 () (@list @t1 @t85 @t84)) % 0.40/0.60 (define @t96 () (forall @t95 @t94)) % 0.40/0.60 (define @t97 () (_ @t57 @t11)) % 0.40/0.60 (define @t98 () (_ tptp.subset @t6)) % 0.40/0.60 (define @t99 () (_ @t98 @t97)) % 0.40/0.60 (define @t100 () (not @t99)) % 0.40/0.60 (define @t101 () (or @t100 @t96)) % 0.40/0.60 (define @t102 () (or @t91 @t90 @t89 @t87)) % 0.40/0.60 (define @t103 () (or @t93 @t102)) % 0.40/0.60 (define @t104 () (forall @t95 @t103)) % 0.40/0.60 (define @t105 () (@list @t85 @t84)) % 0.40/0.60 (define @t106 () (forall @t105 @t103)) % 0.40/0.60 (define @t107 () (forall @t105 @t102)) % 0.40/0.60 (define @t108 () (@var "BOUND_VARIABLE_7592" $$unsorted)) % 0.40/0.60 (define @t109 () (or @t93 @t107)) % 0.40/0.60 (define @t110 () (tptp.kpair @t7 @t3)) % 0.40/0.60 (define @t111 () (tptp.in @t110 @t6)) % 0.40/0.60 (define @t112 () (not @t111)) % 0.40/0.60 (define @t113 () (not (forall @t14 (or @t67 @t112 (not (tptp.in (tptp.kpair @t3 @t108) @t1)))))) % 0.40/0.60 (define @t114 () (not (tptp.in (tptp.kpair @t7 @t108) @t88))) % 0.40/0.60 (define @t115 () (not (tptp.in @t108 @t11))) % 0.40/0.60 (define @t116 () (tptp.in @t7 @t11)) % 0.40/0.60 (define @t117 () (not @t116)) % 0.40/0.60 (define @t118 () (or @t117 @t115 @t114 @t113)) % 0.40/0.60 (define @t119 () (@list @t7 @t108)) % 0.40/0.60 (define @t120 () (forall @t119 @t118)) % 0.40/0.60 (define @t121 () (_ tptp.subset @t1)) % 0.40/0.60 (define @t122 () (_ @t121 @t97)) % 0.40/0.60 (define @t123 () (not @t122)) % 0.40/0.60 (define @t124 () (or @t123 @t120)) % 0.40/0.60 (define @t125 () (or @t115 @t114 @t113)) % 0.40/0.60 (define @t126 () (or @t117 @t125)) % 0.40/0.60 (define @t127 () (forall @t119 @t126)) % 0.40/0.60 (define @t128 () (@list @t108)) % 0.40/0.60 (define @t129 () (forall @t128 @t126)) % 0.40/0.60 (define @t130 () (forall @t128 @t125)) % 0.40/0.60 (define @t131 () (or @t117 @t130)) % 0.40/0.60 (define @t132 () (tptp.kpair @t3 @t2)) % 0.40/0.60 (define @t133 () (tptp.in @t132 @t1)) % 0.40/0.60 (define @t134 () (forall @t14 (or @t67 @t112 (not @t133)))) % 0.40/0.60 (define @t135 () (not @t134)) % 0.40/0.60 (define @t136 () (tptp.kpair @t7 @t2)) % 0.40/0.60 (define @t137 () (tptp.in @t136 @t88)) % 0.40/0.60 (define @t138 () (tptp.in @t2 @t11)) % 0.40/0.60 (define @t139 () (forall @t22 (or (not @t138) (not @t137) @t135))) % 0.40/0.60 (define @t140 () (not @t24)) % 0.40/0.60 (define @t141 () (or @t140 @t139)) % 0.40/0.60 (define @t142 () (not @t18)) % 0.40/0.60 (define @t143 () (not @t20)) % 0.40/0.60 (define @t144 () (or @t143 @t142 @t135)) % 0.40/0.60 (define @t145 () (=> @t18 @t135)) % 0.40/0.60 (define @t146 () (not false)) % 0.40/0.60 (define @t147 () (and @t146 @t135)) % 0.40/0.60 (define @t148 () (or @t147 false)) % 0.40/0.60 (define @t149 () (not @t38)) % 0.40/0.60 (define @t150 () (and @t149 @t135)) % 0.40/0.60 (define @t151 () (or @t38 @t150 @t38)) % 0.40/0.60 (define @t152 () (or @t150 @t38)) % 0.40/0.60 (define @t153 () (or @t38 @t134)) % 0.40/0.60 (define @t154 () (not @t5)) % 0.40/0.60 (define @t155 () (not @t10)) % 0.40/0.60 (define @t156 () (not @t12)) % 0.40/0.60 (define @t157 () (or @t156 @t155 @t154)) % 0.40/0.60 (define @t158 () (forall @t14 @t157)) % 0.40/0.60 (define @t159 () (or @t38 @t158)) % 0.40/0.60 (define @t160 () (or @t38 @t157)) % 0.40/0.60 (define @t161 () (or @t156 @t155 @t154 @t38)) % 0.40/0.60 (define @t162 () (or @t155 @t154 @t38)) % 0.40/0.60 (define @t163 () (lambda (@list @t6) @t99)) % 0.40/0.60 (define @t164 () (_ (lambda @t35 @t99) @t11)) % 0.40/0.60 (define @t165 () (_ @t164 @t1)) % 0.40/0.60 (define @t166 () (=> @t165 @t49)) % 0.40/0.60 (define @t167 () (forall @t31 @t166)) % 0.40/0.60 (define @t168 () (_ @t164 @t6)) % 0.40/0.60 (define @t169 () (=> @t168 @t167)) % 0.40/0.60 (define @t170 () (forall @t35 @t169)) % 0.40/0.60 (define @t171 () (=> tptp.breln1compE @t170)) % 0.40/0.60 (define @t172 () (lambda (@list @t58) (_ @t59 @t97))) % 0.40/0.60 (define @t173 () (lambda (@list @t56 @t58) @t60)) % 0.40/0.60 (define @t174 () (forall @t79 @t76)) % 0.40/0.60 (define @t175 () (forall @t14 (not @t13))) % 0.40/0.60 (define @t176 () (not @t175)) % 0.40/0.60 (define @t177 () (=> @t165 @t27)) % 0.40/0.60 (define @t178 () (forall @t31 @t177)) % 0.40/0.60 (define @t179 () (=> @t168 @t178)) % 0.40/0.60 (define @t180 () (forall @t35 @t179)) % 0.40/0.60 (assume @p1 @t37) % 0.40/0.60 (assume @p2 @t55) % 0.40/0.60 (assume @p3 true) % 0.40/0.60 (step @p4 (= tptp.breln @t61) :rule refl :args (@t61)) % 0.40/0.60 (step @p5 (= tptp.breln1 @t62) :rule refl :args (@t62)) % 0.40/0.60 (step @p6 :rule aci_norm :args ((= @t78 @t76))) % 0.40/0.60 (step @p7 :rule cong :premises (@p6) :args (@t80)) % 0.40/0.60 (step @p8 :rule quant-merge-prenex :args ((= (forall @t35 @t82) @t80))) % 0.40/0.60 (step @p9 :rule alpha_equiv :args (@t83 (@list @t63 @t65 @t64) (@list @t1 @t85 @t84))) % 0.40/0.60 (step @p10 :rule refl :args (@t75)) % 0.40/0.60 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t86)) % 0.40/0.60 (step @p12 :rule quant-miniscope-or :args ((= @t82 @t86))) % 0.40/0.60 (step @p13 :rule trans :premises (@p12 @p11)) % 0.40/0.60 (step @p14 :rule symm :premises (@p13)) % 0.40/0.60 (step @p15 :rule cong :premises (@p14) :args ((forall @t35 (or @t75 @t96)))) % 0.40/0.60 (step @p16 :rule trans :premises (@p15 @p8)) % 0.40/0.60 (step @p17 :rule trans :premises (@p16 @p7)) % 0.40/0.60 (step @p18 :rule refl :args (@t96)) % 0.40/0.60 (step @p19 :rule refl :args ((tptp.subset @t6 @t97))) % 0.40/0.60 (step @p20 :rule refl :args (@t72)) % 0.40/0.60 (step @p21 :rule refl :args (@t6)) % 0.40/0.60 (step @p22 :rule cong :premises (@p21 @p20) :args (@t74)) % 0.40/0.60 (step @p23 :rule trans :premises (@p22 @p19)) % 0.40/0.60 (step @p24 :rule refl :args (@t98)) % 0.40/0.60 (step @p25 :rule ho_cong :premises (@p24 @p20)) % 0.40/0.60 (step @p26 :rule cong :premises (@p25 @p23) :args ((= (_ @t98 @t72) @t74))) % 0.40/0.60 (step @p27 :rule symm :premises (@p26)) % 0.40/0.60 (step @p28 :rule refl :args (@t99)) % 0.40/0.60 (step @p29 :rule eq_resolve :premises (@p28 @p27)) % 0.40/0.60 (step @p30 :rule refl :args (@t97)) % 0.40/0.60 (step @p31 :rule cong :premises (@p30 @p20) :args ((= @t97 @t72))) % 0.40/0.60 (step @p32 :rule symm :premises (@p31)) % 0.40/0.60 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.40/0.60 (step @p34 :rule ho_cong :premises (@p24 @p33)) % 0.40/0.60 (step @p35 :rule trans :premises (@p34 @p29)) % 0.40/0.60 (step @p36 :rule cong :premises (@p35) :args (@t100)) % 0.40/0.60 (step @p37 :rule nary_cong :premises (@p36 @p18) :args (@t101)) % 0.40/0.60 (step @p38 :rule cong :premises (@p37) :args ((forall @t35 @t101))) % 0.40/0.60 (step @p39 :rule trans :premises (@p38 @p17)) % 0.40/0.60 (step @p40 :rule bool-impl-elim :args (@t99 @t96)) % 0.40/0.60 (step @p41 :rule cong :premises (@p40) :args ((forall @t35 (=> @t99 @t96)))) % 0.40/0.60 (step @p42 :rule trans :premises (@p41 @p39)) % 0.40/0.60 (step @p43 :rule aci_norm :args ((= @t103 @t94))) % 0.40/0.60 (step @p44 :rule cong :premises (@p43) :args (@t104)) % 0.40/0.60 (step @p45 :rule quant-merge-prenex :args ((= (forall @t31 @t106) @t104))) % 0.40/0.60 (step @p46 :rule alpha_equiv :args (@t107 (@list @t85 @t84) (@list @t7 @t108))) % 0.40/0.60 (step @p47 :rule refl :args (@t93)) % 0.40/0.60 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t109)) % 0.40/0.60 (step @p49 :rule quant-miniscope-or :args ((= @t106 @t109))) % 0.40/0.60 (step @p50 :rule trans :premises (@p49 @p48)) % 0.40/0.60 (step @p51 :rule symm :premises (@p50)) % 0.40/0.60 (step @p52 :rule cong :premises (@p51) :args ((forall @t31 (or @t93 @t120)))) % 0.40/0.60 (step @p53 :rule trans :premises (@p52 @p45)) % 0.40/0.60 (step @p54 :rule trans :premises (@p53 @p44)) % 0.40/0.60 (step @p55 :rule refl :args (@t120)) % 0.40/0.60 (step @p56 :rule refl :args ((tptp.subset @t1 @t97))) % 0.40/0.60 (step @p57 :rule refl :args (@t1)) % 0.40/0.60 (step @p58 :rule cong :premises (@p57 @p20) :args (@t92)) % 0.40/0.60 (step @p59 :rule trans :premises (@p58 @p56)) % 0.40/0.60 (step @p60 :rule refl :args (@t121)) % 0.40/0.60 (step @p61 :rule ho_cong :premises (@p60 @p20)) % 0.40/0.60 (step @p62 :rule cong :premises (@p61 @p59) :args ((= (_ @t121 @t72) @t92))) % 0.40/0.60 (step @p63 :rule symm :premises (@p62)) % 0.40/0.60 (step @p64 :rule refl :args (@t122)) % 0.40/0.60 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.40/0.60 (step @p66 :rule ho_cong :premises (@p60 @p33)) % 0.40/0.60 (step @p67 :rule trans :premises (@p66 @p65)) % 0.40/0.60 (step @p68 :rule cong :premises (@p67) :args (@t123)) % 0.40/0.60 (step @p69 :rule nary_cong :premises (@p68 @p55) :args (@t124)) % 0.40/0.60 (step @p70 :rule cong :premises (@p69) :args ((forall @t31 @t124))) % 0.40/0.60 (step @p71 :rule trans :premises (@p70 @p54)) % 0.40/0.60 (step @p72 :rule bool-impl-elim :args (@t122 @t120)) % 0.40/0.60 (step @p73 :rule cong :premises (@p72) :args ((forall @t31 (=> @t122 @t120)))) % 0.40/0.60 (step @p74 :rule trans :premises (@p73 @p71)) % 0.40/0.60 (step @p75 :rule aci_norm :args ((= @t126 @t118))) % 0.40/0.60 (step @p76 :rule cong :premises (@p75) :args (@t127)) % 0.40/0.60 (step @p77 :rule quant-merge-prenex :args ((= (forall @t26 @t129) @t127))) % 0.40/0.60 (step @p78 :rule 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@p320 :rule trans :premises (@p319 @p42)) % 0.40/0.60 (step @p321 :rule cong :premises (@p264 @p320) :args ((= tptp.breln1compE @t180))) % 0.40/0.60 (step @p322 :rule refl :args (@t27)) % 0.40/0.60 (step @p323 :rule cong :premises (@p283 @p322) :args (@t30)) % 0.40/0.60 (step @p324 :rule cong :premises (@p323) :args (@t32)) % 0.40/0.60 (step @p325 :rule cong :premises (@p286 @p324) :args (@t34)) % 0.40/0.60 (step @p326 :rule cong :premises (@p325) :args (@t36)) % 0.40/0.60 (step @p327 :rule cong :premises (@p264 @p326) :args (@t37)) % 0.40/0.60 (step @p328 :rule trans :premises (@p327 @p321)) % 0.40/0.60 (step @p329 :rule eq_resolve :premises (@p1 @p328)) % 0.40/0.60 (step @p330 false :rule contra :premises (@p329 @p296)) % 0.40/0.60 ) % 0.40/0.60 % SZS output end Proof % 0.40/0.60 % cvc5 exiting %------------------------------------------------------------------------------