%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU773^2 : 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 : n005.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 08:53:07 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU773^2 : 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 : n005.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 17:51:03 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.38/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.subbreln Bool) % 0.38/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (define tptp.breln () (let ((_let_1 (@var "B" $$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))))))) % 0.38/0.59 (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))))) % 0.38/0.59 (define @t1 () (@var "S" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "R" $$unsorted)) % 0.38/0.59 (define @t3 () (_ tptp.subset @t2)) % 0.38/0.59 (define @t4 () (_ @t3 @t1)) % 0.38/0.59 (define @t5 () (@var "Xy" $$unsorted)) % 0.38/0.59 (define @t6 () (@var "Xx" $$unsorted)) % 0.38/0.59 (define @t7 () (_ (_ tptp.kpair @t6) @t5)) % 0.38/0.59 (define @t8 () (_ tptp.in @t7)) % 0.38/0.59 (define @t9 () (_ @t8 @t1)) % 0.38/0.59 (define @t10 () (_ @t8 @t2)) % 0.38/0.59 (define @t11 () (=> @t10 @t9)) % 0.38/0.59 (define @t12 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t13 () (_ tptp.in @t5)) % 0.38/0.59 (define @t14 () (_ @t13 @t12)) % 0.38/0.59 (define @t15 () (@list @t5)) % 0.38/0.59 (define @t16 () (forall @t15 (=> @t14 @t11))) % 0.38/0.59 (define @t17 () (@var "A" $$unsorted)) % 0.38/0.59 (define @t18 () (_ (_ tptp.in @t6) @t17)) % 0.38/0.59 (define @t19 () (=> @t18 @t16)) % 0.38/0.59 (define @t20 () (@list @t6)) % 0.38/0.59 (define @t21 () (forall @t20 @t19)) % 0.38/0.59 (define @t22 () (=> @t21 @t4)) % 0.38/0.59 (define @t23 () (_ tptp.breln @t17)) % 0.38/0.59 (define @t24 () (_ @t23 @t12)) % 0.38/0.59 (define @t25 () (=> (_ @t24 @t1) @t22)) % 0.38/0.59 (define @t26 () (@list @t1)) % 0.38/0.59 (define @t27 () (forall @t26 @t25)) % 0.38/0.59 (define @t28 () (=> (_ @t24 @t2) @t27)) % 0.38/0.59 (define @t29 () (@list @t17 @t12 @t2)) % 0.38/0.59 (define @t30 () (forall @t29 @t28)) % 0.38/0.59 (define @t31 () (= tptp.subbreln @t30)) % 0.38/0.59 (define @t32 () (_ @t13 @t17)) % 0.38/0.59 (define @t33 () (forall @t15 (=> @t32 @t11))) % 0.38/0.59 (define @t34 () (=> @t18 @t33)) % 0.38/0.59 (define @t35 () (forall @t20 @t34)) % 0.38/0.59 (define @t36 () (=> @t35 @t4)) % 0.38/0.59 (define @t37 () (_ tptp.breln1 @t17)) % 0.38/0.59 (define @t38 () (=> (_ @t37 @t1) @t36)) % 0.38/0.59 (define @t39 () (forall @t26 @t38)) % 0.38/0.59 (define @t40 () (=> (_ @t37 @t2) @t39)) % 0.38/0.59 (define @t41 () (@list @t17 @t2)) % 0.38/0.59 (define @t42 () (forall @t41 @t40)) % 0.38/0.59 (define @t43 () (=> tptp.subbreln @t42)) % 0.38/0.59 (define @t44 () (not @t43)) % 0.38/0.59 (define @t45 () (_ tptp.cartprod @t17)) % 0.38/0.59 (define @t46 () (_ @t45 @t12)) % 0.38/0.59 (define @t47 () (@var "C" $$unsorted)) % 0.38/0.59 (define @t48 () (_ tptp.subset @t47)) % 0.38/0.59 (define @t49 () (_ @t48 @t46)) % 0.38/0.59 (define @t50 () (lambda (@list @t17 @t12 @t47) @t49)) % 0.38/0.59 (define @t51 () (lambda @t41 (_ (_ @t23 @t17) @t2))) % 0.38/0.59 (define @t52 () (@var "BOUND_VARIABLE_7670" $$unsorted)) % 0.38/0.59 (define @t53 () (tptp.subset @t2 @t52)) % 0.38/0.59 (define @t54 () (@var "BOUND_VARIABLE_7632" $$unsorted)) % 0.38/0.59 (define @t55 () (tptp.kpair @t6 @t54)) % 0.38/0.59 (define @t56 () (not (tptp.in @t55 @t2))) % 0.38/0.59 (define @t57 () (not (tptp.in @t54 @t17))) % 0.38/0.59 (define @t58 () (tptp.in @t6 @t17)) % 0.38/0.59 (define @t59 () (not @t58)) % 0.38/0.59 (define @t60 () (@list @t6 @t54)) % 0.38/0.59 (define @t61 () (not (forall @t60 (or @t59 @t57 @t56 (tptp.in @t55 @t52))))) % 0.38/0.59 (define @t62 () (tptp.cartprod @t17 @t17)) % 0.38/0.59 (define @t63 () (not (tptp.subset @t52 @t62))) % 0.38/0.59 (define @t64 () (tptp.subset @t2 @t62)) % 0.38/0.59 (define @t65 () (not @t64)) % 0.38/0.59 (define @t66 () (or @t65 @t63 @t61 @t53)) % 0.38/0.59 (define @t67 () (@list @t17 @t2 @t52)) % 0.38/0.59 (define @t68 () (forall @t67 @t66)) % 0.38/0.59 (define @t69 () (@var "BOUND_VARIABLE_7584" $$unsorted)) % 0.38/0.59 (define @t70 () (tptp.subset @t2 @t69)) % 0.38/0.59 (define @t71 () (@var "BOUND_VARIABLE_7545" $$unsorted)) % 0.38/0.59 (define @t72 () (tptp.kpair @t6 @t71)) % 0.38/0.59 (define @t73 () (not (tptp.in @t72 @t2))) % 0.38/0.59 (define @t74 () (not (tptp.in @t71 @t12))) % 0.38/0.59 (define @t75 () (@list @t6 @t71)) % 0.38/0.59 (define @t76 () (not (forall @t75 (or @t59 @t74 @t73 (tptp.in @t72 @t69))))) % 0.38/0.59 (define @t77 () (tptp.cartprod @t17 @t12)) % 0.38/0.59 (define @t78 () (not (tptp.subset @t69 @t77))) % 0.38/0.59 (define @t79 () (tptp.subset @t2 @t77)) % 0.38/0.59 (define @t80 () (not @t79)) % 0.38/0.59 (define @t81 () (or @t78 @t76 @t70)) % 0.38/0.59 (define @t82 () (or @t80 @t81)) % 0.38/0.59 (define @t83 () (forall (@list @t17 @t12 @t2 @t69) @t82)) % 0.38/0.59 (define @t84 () (@list @t69)) % 0.38/0.59 (define @t85 () (forall @t84 @t82)) % 0.38/0.59 (define @t86 () (forall @t84 @t81)) % 0.38/0.59 (define @t87 () (@list @t1)) % 0.38/0.59 (define @t88 () (or @t80 @t86)) % 0.38/0.59 (define @t89 () (tptp.subset @t2 @t1)) % 0.38/0.59 (define @t90 () (tptp.in @t72 @t1)) % 0.38/0.59 (define @t91 () (or @t59 @t74 @t73 @t90)) % 0.38/0.59 (define @t92 () (forall @t75 @t91)) % 0.38/0.59 (define @t93 () (not @t92)) % 0.38/0.59 (define @t94 () (tptp.subset @t1 @t77)) % 0.38/0.59 (define @t95 () (forall @t26 (or (not @t94) @t93 @t89))) % 0.38/0.59 (define @t96 () (_ @t3 @t46)) % 0.38/0.59 (define @t97 () (not @t96)) % 0.38/0.59 (define @t98 () (or @t97 @t95)) % 0.38/0.59 (define @t99 () (_ tptp.subset @t1)) % 0.38/0.59 (define @t100 () (_ @t99 @t46)) % 0.38/0.59 (define @t101 () (not @t100)) % 0.38/0.59 (define @t102 () (or @t101 @t93 @t4)) % 0.38/0.59 (define @t103 () (=> @t92 @t4)) % 0.38/0.59 (define @t104 () (or @t74 @t73 @t90)) % 0.38/0.59 (define @t105 () (or @t59 @t104)) % 0.38/0.59 (define @t106 () (forall @t75 @t105)) % 0.38/0.59 (define @t107 () (@list @t71)) % 0.38/0.59 (define @t108 () (forall @t107 @t105)) % 0.38/0.59 (define @t109 () (forall @t107 @t104)) % 0.38/0.59 (define @t110 () (@list @t5)) % 0.38/0.59 (define @t111 () (or @t59 @t109)) % 0.38/0.59 (define @t112 () (tptp.kpair @t6 @t5)) % 0.38/0.59 (define @t113 () (tptp.in @t112 @t1)) % 0.38/0.59 (define @t114 () (tptp.in @t112 @t2)) % 0.38/0.59 (define @t115 () (not @t114)) % 0.38/0.59 (define @t116 () (tptp.in @t5 @t12)) % 0.38/0.59 (define @t117 () (forall @t15 (or (not @t116) @t115 @t113))) % 0.38/0.59 (define @t118 () (not @t18)) % 0.38/0.59 (define @t119 () (or @t118 @t117)) % 0.38/0.59 (define @t120 () (_ tptp.in @t112)) % 0.38/0.59 (define @t121 () (not @t10)) % 0.38/0.59 (define @t122 () (not @t14)) % 0.38/0.59 (define @t123 () (or @t122 @t121 @t9)) % 0.38/0.59 (define @t124 () (or @t121 @t9)) % 0.38/0.59 (define @t125 () (@list @t47)) % 0.38/0.59 (define @t126 () (lambda @t125 @t49)) % 0.38/0.59 (define @t127 () (lambda (@list @t12 @t47) @t49)) % 0.38/0.59 (define @t128 () (_ @t50 @t17)) % 0.38/0.59 (define @t129 () (_ @t128 @t12)) % 0.38/0.59 (define @t130 () (=> (_ @t129 @t1) @t22)) % 0.38/0.59 (define @t131 () (forall @t26 @t130)) % 0.38/0.59 (define @t132 () (=> (_ @t129 @t2) @t131)) % 0.38/0.59 (define @t133 () (forall @t29 @t132)) % 0.38/0.59 (define @t134 () (=> tptp.subbreln @t68)) % 0.38/0.59 (define @t135 () (or @t63 @t61 @t53)) % 0.38/0.59 (define @t136 () (or @t65 @t135)) % 0.38/0.59 (define @t137 () (forall @t67 @t136)) % 0.38/0.59 (define @t138 () (@list @t52)) % 0.38/0.59 (define @t139 () (forall @t138 @t136)) % 0.38/0.59 (define @t140 () (forall @t138 @t135)) % 0.38/0.59 (define @t141 () (or @t65 @t140)) % 0.38/0.59 (define @t142 () (tptp.in @t55 @t1)) % 0.38/0.59 (define @t143 () (or @t59 @t57 @t56 @t142)) % 0.38/0.59 (define @t144 () (forall @t60 @t143)) % 0.38/0.59 (define @t145 () (not @t144)) % 0.38/0.59 (define @t146 () (tptp.subset @t1 @t62)) % 0.38/0.59 (define @t147 () (forall @t26 (or (not @t146) @t145 @t89))) % 0.38/0.59 (define @t148 () (_ @t45 @t17)) % 0.38/0.59 (define @t149 () (_ @t3 @t148)) % 0.38/0.59 (define @t150 () (not @t149)) % 0.38/0.59 (define @t151 () (or @t150 @t147)) % 0.38/0.59 (define @t152 () (_ @t99 @t148)) % 0.38/0.59 (define @t153 () (not @t152)) % 0.38/0.59 (define @t154 () (or @t153 @t145 @t4)) % 0.38/0.59 (define @t155 () (=> @t144 @t4)) % 0.38/0.59 (define @t156 () (or @t57 @t56 @t142)) % 0.38/0.59 (define @t157 () (or @t59 @t156)) % 0.38/0.59 (define @t158 () (forall @t60 @t157)) % 0.38/0.59 (define @t159 () (@list @t54)) % 0.38/0.59 (define @t160 () (forall @t159 @t157)) % 0.38/0.59 (define @t161 () (forall @t159 @t156)) % 0.38/0.59 (define @t162 () (or @t59 @t161)) % 0.38/0.59 (define @t163 () (tptp.in @t5 @t17)) % 0.38/0.59 (define @t164 () (forall @t15 (or (not @t163) @t115 @t113))) % 0.38/0.59 (define @t165 () (or @t118 @t164)) % 0.38/0.59 (define @t166 () (not @t32)) % 0.38/0.59 (define @t167 () (or @t166 @t121 @t9)) % 0.38/0.59 (define @t168 () (lambda (@list @t2) @t149)) % 0.38/0.59 (define @t169 () (_ (lambda @t41 @t149) @t17)) % 0.38/0.59 (define @t170 () (=> (_ @t169 @t1) @t36)) % 0.38/0.59 (define @t171 () (forall @t26 @t170)) % 0.38/0.59 (define @t172 () (=> (_ @t169 @t2) @t171)) % 0.38/0.59 (define @t173 () (forall @t41 @t172)) % 0.38/0.59 (define @t174 () (=> tptp.subbreln @t173)) % 0.38/0.59 (define @t175 () (lambda @t125 (_ @t48 @t148))) % 0.38/0.59 (define @t176 () (@quantifiers_skolemize @t68 0)) % 0.38/0.59 (define @t177 () (tptp.cartprod @t176 @t176)) % 0.38/0.59 (define @t178 () (@quantifiers_skolemize @t68 1)) % 0.38/0.59 (define @t179 () (tptp.subset @t178 @t177)) % 0.38/0.59 (define @t180 () (@quantifiers_skolemize @t68 2)) % 0.38/0.59 (define @t181 () (tptp.subset @t178 @t180)) % 0.38/0.59 (define @t182 () (not (tptp.in @t6 @t176))) % 0.38/0.59 (define @t183 () (forall @t60 (or @t182 (not (tptp.in @t54 @t176)) (not (tptp.in @t55 @t178)) (tptp.in @t55 @t180)))) % 0.38/0.59 (define @t184 () (not @t183)) % 0.38/0.59 (define @t185 () (tptp.subset @t180 @t177)) % 0.38/0.59 (define @t186 () (not @t185)) % 0.38/0.59 (define @t187 () (not @t179)) % 0.38/0.59 (define @t188 () (or @t187 @t186 @t184 @t181)) % 0.38/0.59 (define @t189 () (@list true)) % 0.38/0.59 (define @t190 () (@list @t188)) % 0.38/0.59 (define @t191 () (@var "BOUND_VARIABLE_7978" $$unsorted)) % 0.38/0.59 (define @t192 () (@var "BOUND_VARIABLE_7977" $$unsorted)) % 0.38/0.59 (define @t193 () (tptp.kpair @t192 @t191)) % 0.38/0.59 (define @t194 () (@list @t192 @t191)) % 0.38/0.59 (define @t195 () (forall @t75 (or @t182 (not (tptp.in @t71 @t176)) (not (tptp.in @t72 @t178)) (tptp.in @t72 @t180)))) % 0.38/0.59 (define @t196 () (not @t195)) % 0.38/0.59 (define @t197 () (or @t187 @t186 @t196 @t181)) % 0.38/0.59 (assume @p1 @t31) % 0.38/0.59 (assume @p2 @t44) % 0.38/0.59 (assume @p3 true) % 0.38/0.59 (step @p4 (= tptp.breln @t50) :rule refl :args (@t50)) % 0.38/0.59 (step @p5 (= tptp.breln1 @t51) :rule refl :args (@t51)) % 0.38/0.59 (step @p6 :rule refl :args (@t68)) % 0.38/0.59 (step @p7 :rule aci_norm :args ((= @t82 (or @t80 @t78 @t76 @t70)))) % 0.38/0.59 (step @p8 :rule cong :premises (@p7) :args (@t83)) % 0.38/0.59 (step @p9 :rule quant-merge-prenex :args ((= (forall @t29 @t85) @t83))) % 0.38/0.59 (step @p10 :rule alpha_equiv :args (@t86 (@list @t69) @t87)) % 0.38/0.59 (step @p11 :rule refl :args (@t80)) % 0.38/0.59 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t88)) % 0.38/0.59 (step @p13 :rule quant-miniscope-or :args ((= @t85 @t88))) % 0.38/0.59 (step @p14 :rule trans :premises (@p13 @p12)) % 0.38/0.59 (step @p15 :rule symm :premises (@p14)) % 0.38/0.59 (step @p16 :rule cong :premises (@p15) :args ((forall @t29 (or @t80 @t95)))) % 0.38/0.59 (step @p17 :rule trans :premises (@p16 @p9)) % 0.38/0.59 (step @p18 :rule trans :premises (@p17 @p8)) % 0.38/0.59 (step @p19 :rule refl :args (@t95)) % 0.38/0.59 (step @p20 :rule refl :args ((tptp.subset @t2 @t46))) % 0.38/0.59 (step @p21 :rule refl :args (@t77)) % 0.38/0.59 (step @p22 :rule refl :args (@t2)) % 0.38/0.59 (step @p23 :rule cong :premises (@p22 @p21) :args (@t79)) % 0.38/0.59 (step @p24 :rule trans :premises (@p23 @p20)) % 0.38/0.59 (step @p25 :rule refl :args (@t3)) % 0.38/0.59 (step @p26 :rule ho_cong :premises (@p25 @p21)) % 0.38/0.59 (step @p27 :rule cong :premises (@p26 @p24) :args ((= (_ @t3 @t77) @t79))) % 0.38/0.59 (step @p28 :rule symm :premises (@p27)) % 0.38/0.59 (step @p29 :rule refl :args (@t96)) % 0.38/0.59 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 0.38/0.59 (step @p31 :rule refl :args (@t46)) % 0.38/0.59 (step @p32 :rule cong :premises (@p31 @p21) :args ((= @t46 @t77))) % 0.38/0.59 (step @p33 :rule symm :premises (@p32)) % 0.38/0.59 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.38/0.59 (step @p35 :rule ho_cong :premises (@p25 @p34)) % 0.38/0.59 (step @p36 :rule trans :premises (@p35 @p30)) % 0.38/0.59 (step @p37 :rule cong :premises (@p36) :args (@t97)) % 0.38/0.59 (step @p38 :rule nary_cong :premises (@p37 @p19) :args (@t98)) % 0.38/0.59 (step @p39 :rule cong :premises (@p38) :args ((forall @t29 @t98))) % 0.38/0.59 (step @p40 :rule trans :premises (@p39 @p18)) % 0.38/0.59 (step @p41 :rule bool-impl-elim :args (@t96 @t95)) % 0.38/0.59 (step @p42 :rule cong :premises (@p41) :args ((forall @t29 (=> @t96 @t95)))) % 0.38/0.59 (step @p43 :rule trans :premises (@p42 @p40)) % 0.38/0.59 (step @p44 :rule refl :args (@t89)) % 0.38/0.59 (step @p45 :rule refl :args (@t4)) % 0.38/0.59 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t4 @t89))) % 0.38/0.59 (step @p47 :rule symm :premises (@p46)) % 0.38/0.59 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.38/0.59 (step @p49 :rule refl :args (@t93)) % 0.38/0.59 (step @p50 :rule refl :args ((tptp.subset @t1 @t46))) % 0.38/0.59 (step @p51 :rule refl :args (@t1)) % 0.38/0.59 (step @p52 :rule cong :premises (@p51 @p21) :args (@t94)) % 0.38/0.59 (step @p53 :rule trans :premises (@p52 @p50)) % 0.38/0.59 (step @p54 :rule refl :args (@t99)) % 0.38/0.59 (step 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% 0.38/0.59 (step @p312 :rule cong :premises (@p311 @p298) :args (@t38)) % 0.38/0.59 (step @p313 :rule cong :premises (@p312) :args (@t39)) % 0.38/0.59 (step @p314 :rule ho_cong :premises (@p310 @p164)) % 0.38/0.59 (step @p315 :rule cong :premises (@p314 @p313) :args (@t40)) % 0.38/0.59 (step @p316 :rule cong :premises (@p315) :args (@t42)) % 0.38/0.59 (step @p317 :rule cong :premises (@p170 @p316) :args (@t43)) % 0.38/0.59 (step @p318 :rule cong :premises (@p317) :args (@t44)) % 0.38/0.59 (step @p319 :rule trans :premises (@p318 @p297)) % 0.38/0.59 (step @p320 :rule trans :premises (@p319 @p186)) % 0.38/0.59 (step @p321 :rule eq_resolve :premises (@p2 @p320)) % 0.38/0.59 (step @p322 :rule not_implies_elim2 :premises (@p321)) % 0.38/0.59 (step @p323 :rule skolemize :premises (@p322)) % 0.38/0.59 (step @p324 :rule bool-double-not-elim :args (@t179)) % 0.38/0.59 (step @p325 :rule refl :args (@t188)) % 0.38/0.59 (step @p326 :rule nary_cong :premises (@p325 @p324) :args ((or @t188 (not @t187)))) % 0.38/0.59 (step @p327 :rule cnf_or_neg :args (@t188 0)) % 0.38/0.59 (step @p328 :rule eq_resolve :premises (@p327 @p326)) % 0.38/0.59 (step @p329 :rule reordering :premises (@p328) :args ((or @t179 @t188))) % 0.38/0.59 (step @p330 :rule chain_m_resolution :premises (@p329 @p323) :args (@t179 @t189 @t190)) % 0.38/0.59 (step @p331 :rule bool-double-not-elim :args (@t185)) % 0.38/0.59 (step @p332 :rule nary_cong :premises (@p325 @p331) :args ((or @t188 (not @t186)))) % 0.38/0.59 (step @p333 :rule cnf_or_neg :args (@t188 1)) % 0.38/0.59 (step @p334 :rule eq_resolve :premises (@p333 @p332)) % 0.38/0.59 (step @p335 :rule reordering :premises (@p334) :args ((or @t185 @t188))) % 0.38/0.59 (step @p336 :rule chain_m_resolution :premises (@p335 @p323) :args (@t185 @t189 @t190)) % 0.38/0.59 (step @p337 :rule cnf_or_neg :args (@t188 3)) % 0.38/0.59 (step @p338 :rule chain_m_resolution :premises (@p337 @p323) :args ((not @t181) @t189 @t190)) % 0.38/0.59 (step @p339 :rule bool-double-not-elim :args (@t183)) % 0.38/0.59 (step @p340 :rule nary_cong :premises (@p325 @p339) :args ((or @t188 (not @t184)))) % 0.38/0.59 (step @p341 :rule cnf_or_neg :args (@t188 2)) % 0.38/0.59 (step @p342 :rule eq_resolve :premises (@p341 @p340)) % 0.38/0.59 (step @p343 :rule reordering :premises (@p342) :args ((or @t183 @t188))) % 0.38/0.59 (step @p344 :rule chain_m_resolution :premises (@p343 @p323) :args (@t183 @t189 @t190)) % 0.38/0.59 (step @p345 :rule alpha_equiv :args ((forall (@list @t192 @t191) (or (not (tptp.in @t192 @t176)) (not (tptp.in @t191 @t176)) (not (tptp.in @t193 @t178)) (tptp.in @t193 @t180))) @t194 (@list @t6 @t71))) % 0.38/0.59 (step @p346 :rule alpha_equiv :args (@t183 (@list @t6 @t54) @t194)) % 0.38/0.59 (step @p347 :rule trans :premises (@p346 @p345)) % 0.38/0.59 (step @p348 :rule equiv_elim1 :premises (@p347)) % 0.38/0.59 (step @p349 :rule chain_m_resolution :premises (@p348 @p344) :args (@t195 (@list false) (@list @t183))) % 0.38/0.59 (step @p350 :rule not_implies_elim1 :premises (@p321)) % 0.38/0.59 (step @p351 :rule instantiate :premises (@p350) :args ((@list @t176 @t176 @t178 @t180))) % 0.38/0.59 (step @p352 :rule cnf_or_pos :args (@t197)) % 0.38/0.59 (step @p353 :rule reordering :premises (@p352) :args ((or @t187 @t186 @t181 @t196 (not @t197)))) % 0.38/0.59 (step @p354 false :rule chain_m_resolution :premises (@p353 @p351 @p349 @p338 @p336 @p330) :args (false (@list false false true false false) (@list @t197 @t195 @t181 @t185 @t179))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------