%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU755^2 : 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 : n023.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 08:53:03 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SEU755^2 : 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 % 0.15/0.33 % Computer : n023.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % 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 17:51:28 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.37/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.binunionTEcontra Bool) % 0.37/0.60 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.setminusER Bool) % 0.37/0.60 (declare-const tptp.setminusI Bool) % 0.37/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.60 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.60 (define @t3 () (_ tptp.setminus @t2)) % 0.37/0.60 (define @t4 () (_ @t3 @t1)) % 0.37/0.60 (define @t5 () (@var "Xx" $$unsorted)) % 0.37/0.60 (define @t6 () (_ tptp.in @t5)) % 0.37/0.60 (define @t7 () (_ @t6 @t4)) % 0.37/0.60 (define @t8 () (_ @t6 @t1)) % 0.37/0.60 (define @t9 () (not @t8)) % 0.37/0.60 (define @t10 () (=> @t9 @t7)) % 0.37/0.60 (define @t11 () (_ @t6 @t2)) % 0.37/0.60 (define @t12 () (@list @t2 @t1 @t5)) % 0.37/0.60 (define @t13 () (forall @t12 (=> @t11 @t10))) % 0.37/0.60 (define @t14 () (= tptp.setminusI @t13)) % 0.37/0.60 (define @t15 () (forall @t12 (=> @t7 @t9))) % 0.37/0.60 (define @t16 () (= tptp.setminusER @t15)) % 0.37/0.60 (define @t17 () (@var "Y" $$unsorted)) % 0.37/0.60 (define @t18 () (@var "X" $$unsorted)) % 0.37/0.60 (define @t19 () (_ (_ tptp.binunion @t18) @t17)) % 0.37/0.60 (define @t20 () (_ @t6 @t19)) % 0.37/0.60 (define @t21 () (not @t20)) % 0.37/0.60 (define @t22 () (_ @t6 @t17)) % 0.37/0.60 (define @t23 () (not @t22)) % 0.37/0.60 (define @t24 () (=> @t23 @t21)) % 0.37/0.60 (define @t25 () (_ @t6 @t18)) % 0.37/0.60 (define @t26 () (not @t25)) % 0.37/0.60 (define @t27 () (=> @t26 @t24)) % 0.37/0.60 (define @t28 () (@list @t5)) % 0.37/0.60 (define @t29 () (forall @t28 (=> @t11 @t27))) % 0.37/0.60 (define @t30 () (_ tptp.powerset @t2)) % 0.37/0.60 (define @t31 () (_ tptp.in @t17)) % 0.37/0.60 (define @t32 () (_ @t31 @t30)) % 0.37/0.60 (define @t33 () (=> @t32 @t29)) % 0.37/0.60 (define @t34 () (@list @t17)) % 0.37/0.60 (define @t35 () (forall @t34 @t33)) % 0.37/0.60 (define @t36 () (_ tptp.in @t18)) % 0.37/0.60 (define @t37 () (_ @t36 @t30)) % 0.37/0.60 (define @t38 () (=> @t37 @t35)) % 0.37/0.60 (define @t39 () (@list @t2 @t18)) % 0.37/0.60 (define @t40 () (forall @t39 @t38)) % 0.37/0.60 (define @t41 () (= tptp.binunionTEcontra @t40)) % 0.37/0.60 (define @t42 () (_ @t3 @t19)) % 0.37/0.60 (define @t43 () (_ @t6 @t42)) % 0.37/0.60 (define @t44 () (_ @t3 @t17)) % 0.37/0.60 (define @t45 () (_ @t6 @t44)) % 0.37/0.60 (define @t46 () (=> @t45 @t43)) % 0.37/0.60 (define @t47 () (_ @t3 @t18)) % 0.37/0.60 (define @t48 () (_ @t6 @t47)) % 0.37/0.60 (define @t49 () (=> @t48 @t46)) % 0.37/0.60 (define @t50 () (forall @t28 (=> @t11 @t49))) % 0.37/0.60 (define @t51 () (=> @t32 @t50)) % 0.37/0.60 (define @t52 () (forall @t34 @t51)) % 0.37/0.60 (define @t53 () (=> @t37 @t52)) % 0.37/0.60 (define @t54 () (forall @t39 @t53)) % 0.37/0.60 (define @t55 () (=> tptp.binunionTEcontra @t54)) % 0.37/0.60 (define @t56 () (=> tptp.setminusER @t55)) % 0.37/0.60 (define @t57 () (=> tptp.setminusI @t56)) % 0.37/0.60 (define @t58 () (not @t57)) % 0.37/0.60 (define @t59 () (@var "BOUND_VARIABLE_7618" $$unsorted)) % 0.37/0.60 (define @t60 () (@var "BOUND_VARIABLE_7620" $$unsorted)) % 0.37/0.60 (define @t61 () (tptp.in @t60 (tptp.setminus @t2 (tptp.binunion @t18 @t59)))) % 0.37/0.60 (define @t62 () (not (tptp.in @t60 (tptp.setminus @t2 @t59)))) % 0.37/0.60 (define @t63 () (tptp.setminus @t2 @t18)) % 0.37/0.60 (define @t64 () (not (tptp.in @t60 @t63))) % 0.37/0.60 (define @t65 () (not (tptp.in @t60 @t2))) % 0.37/0.60 (define @t66 () (tptp.powerset @t2)) % 0.37/0.60 (define @t67 () (not (tptp.in @t59 @t66))) % 0.37/0.60 (define @t68 () (tptp.in @t18 @t66)) % 0.37/0.60 (define @t69 () (not @t68)) % 0.37/0.60 (define @t70 () (or @t69 @t67 @t65 @t64 @t62 @t61)) % 0.37/0.60 (define @t71 () (@list @t2 @t18 @t59 @t60)) % 0.37/0.60 (define @t72 () (forall @t71 @t70)) % 0.37/0.60 (define @t73 () (@var "BOUND_VARIABLE_7550" $$unsorted)) % 0.37/0.60 (define @t74 () (@var "BOUND_VARIABLE_7552" $$unsorted)) % 0.37/0.60 (define @t75 () (not (tptp.in @t74 (tptp.binunion @t18 @t73)))) % 0.37/0.60 (define @t76 () (tptp.in @t74 @t73)) % 0.37/0.60 (define @t77 () (tptp.in @t74 @t18)) % 0.37/0.60 (define @t78 () (not (tptp.in @t74 @t2))) % 0.37/0.60 (define @t79 () (not (tptp.in @t73 @t66))) % 0.37/0.60 (define @t80 () (or @t69 @t79 @t78 @t77 @t76 @t75)) % 0.37/0.60 (define @t81 () (or @t79 @t78 @t77 @t76 @t75)) % 0.37/0.60 (define @t82 () (or @t69 @t81)) % 0.37/0.60 (define @t83 () (@list @t2 @t18 @t73 @t74)) % 0.37/0.60 (define @t84 () (forall @t83 @t82)) % 0.37/0.60 (define @t85 () (@list @t73 @t74)) % 0.37/0.60 (define @t86 () (forall @t85 @t82)) % 0.37/0.60 (define @t87 () (forall @t85 @t81)) % 0.37/0.60 (define @t88 () (@var "BOUND_VARIABLE_7526" $$unsorted)) % 0.37/0.60 (define @t89 () (or @t69 @t87)) % 0.37/0.60 (define @t90 () (tptp.binunion @t18 @t17)) % 0.37/0.60 (define @t91 () (not (tptp.in @t88 @t90))) % 0.37/0.60 (define @t92 () (tptp.in @t88 @t17)) % 0.37/0.60 (define @t93 () (tptp.in @t88 @t18)) % 0.37/0.60 (define @t94 () (not (tptp.in @t88 @t2))) % 0.37/0.60 (define @t95 () (tptp.in @t17 @t66)) % 0.37/0.60 (define @t96 () (not @t95)) % 0.37/0.60 (define @t97 () (or @t96 @t94 @t93 @t92 @t91)) % 0.37/0.60 (define @t98 () (@list @t17 @t88)) % 0.37/0.60 (define @t99 () (forall @t98 @t97)) % 0.37/0.60 (define @t100 () (not @t37)) % 0.37/0.60 (define @t101 () (or @t100 @t99)) % 0.37/0.60 (define @t102 () (or @t94 @t93 @t92 @t91)) % 0.37/0.60 (define @t103 () (or @t96 @t102)) % 0.37/0.60 (define @t104 () (forall @t98 @t103)) % 0.37/0.60 (define @t105 () (@list @t88)) % 0.37/0.60 (define @t106 () (forall @t105 @t103)) % 0.37/0.60 (define @t107 () (forall @t105 @t102)) % 0.37/0.60 (define @t108 () (@list @t5)) % 0.37/0.60 (define @t109 () (or @t96 @t107)) % 0.37/0.60 (define @t110 () (tptp.in @t5 @t90)) % 0.37/0.60 (define @t111 () (tptp.in @t5 @t17)) % 0.37/0.60 (define @t112 () (tptp.in @t5 @t18)) % 0.37/0.60 (define @t113 () (tptp.in @t5 @t2)) % 0.37/0.60 (define @t114 () (not @t113)) % 0.37/0.60 (define @t115 () (forall @t28 (or @t114 @t112 @t111 (not @t110)))) % 0.37/0.60 (define @t116 () (not @t32)) % 0.37/0.60 (define @t117 () (or @t116 @t115)) % 0.37/0.60 (define @t118 () (not @t11)) % 0.37/0.60 (define @t119 () (or @t118 @t25 @t22 @t21)) % 0.37/0.60 (define @t120 () (or @t25 @t22 @t21)) % 0.37/0.60 (define @t121 () (=> tptp.binunionTEcontra @t72)) % 0.37/0.60 (define @t122 () (tptp.in @t5 @t1)) % 0.37/0.60 (define @t123 () (tptp.setminus @t2 @t1)) % 0.37/0.60 (define @t124 () (tptp.in @t5 @t123)) % 0.37/0.60 (define @t125 () (not @t7)) % 0.37/0.60 (define @t126 () (or @t125 @t9)) % 0.37/0.60 (define @t127 () (=> tptp.setminusER @t121)) % 0.37/0.60 (define @t128 () (or @t118 @t8 @t7)) % 0.37/0.60 (define @t129 () (=> tptp.setminusI @t127)) % 0.37/0.60 (define @t130 () (or @t67 @t65 @t64 @t62 @t61)) % 0.37/0.60 (define @t131 () (or @t69 @t130)) % 0.37/0.60 (define @t132 () (forall @t71 @t131)) % 0.37/0.60 (define @t133 () (@list @t59 @t60)) % 0.37/0.60 (define @t134 () (forall @t133 @t131)) % 0.37/0.60 (define @t135 () (forall @t133 @t130)) % 0.37/0.60 (define @t136 () (@var "BOUND_VARIABLE_7597" $$unsorted)) % 0.37/0.60 (define @t137 () (or @t69 @t135)) % 0.37/0.60 (define @t138 () (tptp.setminus @t2 @t90)) % 0.37/0.60 (define @t139 () (tptp.in @t136 @t138)) % 0.37/0.60 (define @t140 () (tptp.setminus @t2 @t17)) % 0.37/0.60 (define @t141 () (not (tptp.in @t136 @t140))) % 0.37/0.60 (define @t142 () (not (tptp.in @t136 @t63))) % 0.37/0.60 (define @t143 () (not (tptp.in @t136 @t2))) % 0.37/0.60 (define @t144 () (or @t96 @t143 @t142 @t141 @t139)) % 0.37/0.60 (define @t145 () (@list @t17 @t136)) % 0.37/0.60 (define @t146 () (forall @t145 @t144)) % 0.37/0.60 (define @t147 () (or @t100 @t146)) % 0.37/0.60 (define @t148 () (or @t143 @t142 @t141 @t139)) % 0.37/0.60 (define @t149 () (or @t96 @t148)) % 0.37/0.60 (define @t150 () (forall @t145 @t149)) % 0.37/0.60 (define @t151 () (@list @t136)) % 0.37/0.60 (define @t152 () (forall @t151 @t149)) % 0.37/0.60 (define @t153 () (forall @t151 @t148)) % 0.37/0.60 (define @t154 () (or @t96 @t153)) % 0.37/0.60 (define @t155 () (tptp.in @t5 @t138)) % 0.37/0.60 (define @t156 () (tptp.in @t5 @t140)) % 0.37/0.60 (define @t157 () (tptp.in @t5 @t63)) % 0.37/0.60 (define @t158 () (forall @t28 (or @t114 (not @t157) (not @t156) @t155))) % 0.37/0.60 (define @t159 () (or @t116 @t158)) % 0.37/0.60 (define @t160 () (not @t45)) % 0.37/0.60 (define @t161 () (not @t48)) % 0.37/0.60 (define @t162 () (or @t118 @t161 @t160 @t43)) % 0.37/0.60 (define @t163 () (or @t161 @t160 @t43)) % 0.37/0.60 (define @t164 () (@quantifiers_skolemize @t72 3)) % 0.37/0.60 (define @t165 () (@quantifiers_skolemize @t72 2)) % 0.37/0.60 (define @t166 () (@quantifiers_skolemize @t72 1)) % 0.37/0.60 (define @t167 () (tptp.binunion @t166 @t165)) % 0.37/0.60 (define @t168 () (@quantifiers_skolemize @t72 0)) % 0.37/0.60 (define @t169 () (tptp.in @t164 (tptp.setminus @t168 @t167))) % 0.37/0.60 (define @t170 () (tptp.in @t164 (tptp.setminus @t168 @t165))) % 0.37/0.60 (define @t171 () (not @t170)) % 0.37/0.60 (define @t172 () (tptp.in @t164 (tptp.setminus @t168 @t166))) % 0.37/0.60 (define @t173 () (not @t172)) % 0.37/0.60 (define @t174 () (tptp.in @t164 @t168)) % 0.37/0.60 (define @t175 () (not @t174)) % 0.37/0.60 (define @t176 () (tptp.powerset @t168)) % 0.37/0.60 (define @t177 () (tptp.in @t165 @t176)) % 0.37/0.60 (define @t178 () (not @t177)) % 0.37/0.60 (define @t179 () (tptp.in @t166 @t176)) % 0.37/0.60 (define @t180 () (not @t179)) % 0.37/0.60 (define @t181 () (or @t180 @t178 @t175 @t173 @t171 @t169)) % 0.37/0.60 (define @t182 () (@list true)) % 0.37/0.60 (define @t183 () (@list @t181)) % 0.37/0.60 (define @t184 () (tptp.in @t164 @t167)) % 0.37/0.60 (define @t185 () (or @t175 @t184 @t169)) % 0.37/0.60 (define @t186 () (tptp.in @t164 @t165)) % 0.37/0.60 (define @t187 () (not @t186)) % 0.37/0.60 (define @t188 () (or @t171 @t187)) % 0.37/0.60 (define @t189 () (@list false false)) % 0.37/0.60 (define @t190 () (tptp.in @t164 @t166)) % 0.37/0.60 (define @t191 () (not @t190)) % 0.37/0.60 (define @t192 () (or @t173 @t191)) % 0.37/0.60 (define @t193 () (not @t184)) % 0.37/0.60 (define @t194 () (or @t180 @t178 @t175 @t190 @t186 @t193)) % 0.37/0.60 (define @t195 () (not @t194)) % 0.37/0.60 (define @t196 () (forall @t83 @t80)) % 0.37/0.60 (assume @p1 @t14) % 0.37/0.60 (assume @p2 @t16) % 0.37/0.60 (assume @p3 @t41) % 0.37/0.60 (assume @p4 @t58) % 0.37/0.60 (assume @p5 true) % 0.37/0.60 (step @p6 :rule refl :args (@t72)) % 0.37/0.60 (step @p7 :rule aci_norm :args ((= @t82 @t80))) % 0.37/0.60 (step @p8 :rule cong :premises (@p7) :args (@t84)) % 0.37/0.60 (step @p9 :rule quant-merge-prenex :args ((= (forall @t39 @t86) @t84))) % 0.37/0.60 (step @p10 :rule alpha_equiv :args (@t87 (@list @t73 @t74) (@list @t17 @t88))) % 0.37/0.60 (step @p11 :rule refl :args (@t69)) % 0.37/0.60 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t89)) % 0.37/0.60 (step @p13 :rule quant-miniscope-or :args ((= @t86 @t89))) % 0.37/0.60 (step @p14 :rule trans :premises (@p13 @p12)) % 0.37/0.60 (step @p15 :rule symm :premises (@p14)) % 0.37/0.60 (step @p16 :rule cong :premises (@p15) :args ((forall @t39 (or @t69 @t99)))) % 0.37/0.60 (step @p17 :rule trans :premises (@p16 @p9)) % 0.37/0.60 (step @p18 :rule trans :premises (@p17 @p8)) % 0.37/0.60 (step @p19 :rule refl :args (@t99)) % 0.37/0.60 (step @p20 :rule refl :args ((tptp.in @t18 @t30))) % 0.37/0.60 (step @p21 :rule refl :args (@t66)) % 0.37/0.60 (step @p22 :rule refl :args (@t18)) % 0.37/0.60 (step @p23 :rule cong :premises (@p22 @p21) :args (@t68)) % 0.37/0.60 (step @p24 :rule trans :premises (@p23 @p20)) % 0.37/0.60 (step @p25 :rule refl :args (@t36)) % 0.37/0.60 (step @p26 :rule ho_cong :premises (@p25 @p21)) % 0.37/0.60 (step @p27 :rule cong :premises (@p26 @p24) :args ((= (_ @t36 @t66) @t68))) % 0.37/0.60 (step @p28 :rule symm :premises (@p27)) % 0.37/0.60 (step @p29 :rule refl :args (@t37)) % 0.37/0.60 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 0.37/0.60 (step @p31 :rule refl :args (@t30)) % 0.37/0.60 (step @p32 :rule cong :premises (@p31 @p21) :args ((= @t30 @t66))) % 0.37/0.60 (step @p33 :rule symm :premises (@p32)) % 0.37/0.60 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.37/0.60 (step @p35 :rule ho_cong :premises (@p25 @p34)) % 0.37/0.60 (step @p36 :rule trans :premises (@p35 @p30)) % 0.37/0.60 (step @p37 :rule cong :premises (@p36) :args (@t100)) % 0.37/0.60 (step @p38 :rule nary_cong :premises (@p37 @p19) :args (@t101)) % 0.37/0.60 (step @p39 :rule cong :premises (@p38) :args ((forall @t39 @t101))) % 0.37/0.60 (step @p40 :rule trans :premises (@p39 @p18)) % 0.37/0.60 (step @p41 :rule bool-impl-elim :args (@t37 @t99)) % 0.37/0.60 (step @p42 :rule cong :premises (@p41) :args ((forall @t39 (=> @t37 @t99)))) % 0.37/0.60 (step @p43 :rule trans :premises (@p42 @p40)) % 0.37/0.60 (step @p44 :rule aci_norm :args ((= @t103 @t97))) % 0.37/0.60 (step @p45 :rule cong :premises (@p44) :args (@t104)) % 0.37/0.60 (step @p46 :rule quant-merge-prenex :args ((= (forall @t34 @t106) @t104))) % 0.37/0.60 (step @p47 :rule alpha_equiv :args (@t107 (@list @t88) @t108)) % 0.37/0.60 (step @p48 :rule refl :args (@t96)) % 0.37/0.60 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t109)) % 0.37/0.60 (step @p50 :rule quant-miniscope-or :args ((= @t106 @t109))) % 0.37/0.60 (step @p51 :rule trans :premises (@p50 @p49)) % 0.37/0.60 (step @p52 :rule symm :premises (@p51)) % 0.37/0.60 (step @p53 :rule cong :premises (@p52) :args ((forall @t34 (or @t96 @t115)))) % 0.37/0.60 (step @p54 :rule trans :premises (@p53 @p46)) % 0.37/0.60 (step @p55 :rule trans :premises (@p54 @p45)) % 0.37/0.60 (step @p56 :rule refl :args (@t115)) % 0.37/0.60 (step @p57 :rule refl :args ((tptp.in @t17 @t30))) % 0.37/0.60 (step @p58 :rule refl :args (@t17)) % 0.37/0.60 (step @p59 :rule cong :premises (@p58 @p21) :args (@t95)) % 0.37/0.60 (step @p60 :rule trans :premises (@p59 @p57)) % 0.37/0.60 (step @p61 :rule refl :args (@t31)) % 0.37/0.60 (step @p62 :rule ho_cong :premises (@p61 @p21)) % 0.37/0.60 (step @p63 :rule cong :premises (@p62 @p60) :args ((= (_ @t31 @t66) @t95))) % 0.37/0.60 (step @p64 :rule symm :premises (@p63)) % 0.37/0.60 (step @p65 :rule refl :args (@t32)) % 0.37/0.60 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.37/0.60 (step @p67 :rule ho_cong :premises (@p61 @p34)) % 0.37/0.60 (step @p68 :rule trans :premises (@p67 @p66)) % 0.37/0.60 (step @p69 :rule cong :premises (@p68) :args (@t116)) % 0.37/0.60 (step @p70 :rule nary_cong :premises (@p69 @p56) :args (@t117)) % 0.37/0.60 (step @p71 :rule cong :premises (@p70) :args ((forall @t34 @t117))) % 0.37/0.60 (step @p72 :rule trans :premises (@p71 @p55)) % 0.37/0.60 (step @p73 :rule bool-impl-elim :args (@t32 @t115)) % 0.37/0.60 (step @p74 :rule cong :premises (@p73) :args ((forall @t34 (=> @t32 @t115)))) % 0.37/0.60 (step @p75 :rule trans :premises (@p74 @p72)) % 0.37/0.60 (step @p76 :rule refl :args ((tptp.in @t5 @t19))) % 0.37/0.60 (step 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:premises (@p138 @p303) :args (@t53)) % 0.37/0.60 (step @p305 :rule cong :premises (@p304) :args (@t54)) % 0.37/0.60 (step @p306 :rule trans :premises (@p305 @p212)) % 0.37/0.60 (step @p307 :rule cong :premises (@p142 @p306) :args (@t55)) % 0.37/0.60 (step @p308 :rule cong :premises (@p173 @p307) :args (@t56)) % 0.37/0.60 (step @p309 :rule cong :premises (@p190 @p308) :args (@t57)) % 0.37/0.60 (step @p310 :rule cong :premises (@p309) :args (@t58)) % 0.37/0.60 (step @p311 :rule trans :premises (@p310 @p194)) % 0.37/0.60 (step @p312 :rule eq_resolve :premises (@p4 @p311)) % 0.37/0.60 (step @p313 :rule not_implies_elim2 :premises (@p312)) % 0.37/0.60 (step @p314 :rule not_implies_elim2 :premises (@p313)) % 0.37/0.60 (step @p315 :rule not_implies_elim1 :premises (@p314)) % 0.37/0.60 (step @p316 :rule not_implies_elim1 :premises (@p312)) % 0.37/0.60 (step @p317 :rule instantiate :premises (@p316) :args ((@list @t168 @t167 @t164))) % 0.37/0.60 (step @p318 :rule not_implies_elim2 :premises (@p314)) % 0.37/0.60 (step @p319 :rule skolemize :premises (@p318)) % 0.37/0.60 (step @p320 :rule cnf_or_neg :args (@t181 5)) % 0.37/0.60 (step @p321 :rule chain_m_resolution :premises (@p320 @p319) :args ((not @t169) @t182 @t183)) % 0.37/0.60 (step @p322 :rule bool-double-not-elim :args (@t174)) % 0.37/0.60 (step @p323 :rule refl :args (@t181)) % 0.37/0.60 (step @p324 :rule nary_cong :premises (@p323 @p322) :args ((or @t181 (not @t175)))) % 0.37/0.60 (step @p325 :rule cnf_or_neg :args (@t181 2)) % 0.37/0.60 (step @p326 :rule eq_resolve :premises (@p325 @p324)) % 0.37/0.60 (step @p327 :rule reordering :premises (@p326) :args ((or @t174 @t181))) % 0.37/0.60 (step @p328 :rule chain_m_resolution :premises (@p327 @p319) :args (@t174 @t182 @t183)) % 0.37/0.60 (step @p329 :rule cnf_or_pos :args (@t185)) % 0.37/0.60 (step @p330 :rule reordering :premises (@p329) :args ((or @t175 @t169 @t184 (not @t185)))) % 0.37/0.60 (step @p331 :rule chain_m_resolution :premises (@p330 @p328 @p321 @p317) :args (@t184 (@list false true false) (@list @t174 @t169 @t185))) % 0.37/0.60 (step @p332 :rule not_implies_elim1 :premises (@p313)) % 0.37/0.60 (step @p333 :rule instantiate :premises (@p332) :args ((@list @t168 @t165 @t164))) % 0.37/0.60 (step @p334 :rule bool-double-not-elim :args (@t170)) % 0.37/0.60 (step @p335 :rule nary_cong :premises (@p323 @p334) :args ((or @t181 (not @t171)))) % 0.37/0.60 (step @p336 :rule cnf_or_neg :args (@t181 4)) % 0.37/0.60 (step @p337 :rule eq_resolve :premises (@p336 @p335)) % 0.37/0.60 (step @p338 :rule reordering :premises (@p337) :args ((or @t170 @t181))) % 0.37/0.60 (step @p339 :rule chain_m_resolution :premises (@p338 @p319) :args (@t170 @t182 @t183)) % 0.37/0.60 (step @p340 :rule cnf_or_pos :args (@t188)) % 0.37/0.60 (step @p341 :rule reordering :premises (@p340) :args ((or @t171 @t187 (not @t188)))) % 0.37/0.60 (step @p342 :rule chain_m_resolution :premises (@p341 @p339 @p333) :args (@t187 @t189 (@list @t170 @t188))) % 0.37/0.60 (step @p343 :rule instantiate :premises (@p332) :args ((@list @t168 @t166 @t164))) % 0.37/0.60 (step @p344 :rule bool-double-not-elim :args (@t172)) % 0.37/0.60 (step @p345 :rule nary_cong :premises (@p323 @p344) :args ((or @t181 (not @t173)))) % 0.37/0.60 (step @p346 :rule cnf_or_neg :args (@t181 3)) % 0.37/0.60 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 0.37/0.60 (step @p348 :rule reordering :premises (@p347) :args ((or @t172 @t181))) % 0.37/0.60 (step @p349 :rule chain_m_resolution :premises (@p348 @p319) :args (@t172 @t182 @t183)) % 0.37/0.60 (step @p350 :rule cnf_or_pos :args (@t192)) % 0.37/0.60 (step @p351 :rule reordering :premises (@p350) :args ((or @t173 @t191 (not @t192)))) % 0.37/0.60 (step @p352 :rule chain_m_resolution :premises (@p351 @p349 @p343) :args (@t191 @t189 (@list @t172 @t192))) % 0.37/0.60 (step @p353 :rule bool-double-not-elim :args (@t177)) % 0.37/0.60 (step @p354 :rule nary_cong :premises (@p323 @p353) :args ((or @t181 (not @t178)))) % 0.37/0.60 (step @p355 :rule cnf_or_neg :args (@t181 1)) % 0.37/0.60 (step @p356 :rule eq_resolve :premises (@p355 @p354)) % 0.37/0.60 (step @p357 :rule reordering :premises (@p356) :args ((or @t177 @t181))) % 0.37/0.60 (step @p358 :rule chain_m_resolution :premises (@p357 @p319) :args (@t177 @t182 @t183)) % 0.37/0.60 (step @p359 :rule bool-double-not-elim :args (@t179)) % 0.37/0.60 (step @p360 :rule nary_cong :premises (@p323 @p359) :args ((or @t181 (not @t180)))) % 0.37/0.60 (step @p361 :rule cnf_or_neg :args (@t181 0)) % 0.37/0.60 (step @p362 :rule eq_resolve :premises (@p361 @p360)) % 0.37/0.60 (step @p363 :rule reordering :premises (@p362) :args ((or @t179 @t181))) % 0.37/0.60 (step @p364 :rule chain_m_resolution :premises (@p363 @p319) :args (@t179 @t182 @t183)) % 0.37/0.60 (step @p365 :rule cnf_or_pos :args (@t194)) % 0.37/0.60 (step @p366 :rule reordering :premises (@p365) :args ((or @t180 @t178 @t175 @t190 @t186 @t193 @t195))) % 0.37/0.60 (step @p367 :rule chain_m_resolution :premises (@p366 @p364 @p358 @p328 @p352 @p342 @p331) :args (@t195 (@list false false false true true false) (@list @t179 @t177 @t174 @t190 @t186 @t184))) % 0.37/0.60 (assume-push @p374 @t196) % 0.37/0.60 (step @p369 :rule instantiate :premises (@p315) :args ((@list @t168 @t166 @t165 @t164))) % 0.37/0.60 (step-pop @p375 :rule scope :premises (@p369)) % 0.37/0.60 (step @p370 :rule process_scope :premises (@p375) :args (@t194)) % 0.37/0.60 (step @p372 :rule implies_elim :premises (@p370)) % 0.37/0.60 (step @p373 false :rule chain_m_resolution :premises (@p372 @p367 @p315) :args (false (@list true false) (@list @t194 @t196))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------