%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU734^2 : 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 : n018.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 08:52:57 AM UTC 2026 % Result : Theorem 0.40s 0.61s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU734^2 : 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 % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:49:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.40/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.61 % SZS status Theorem % 0.40/0.61 % SZS output start Proof % 0.40/0.61 ( % 0.40/0.61 (declare-sort $$unsorted 0) % 0.40/0.61 (declare-const tptp.subsetTI Bool) % 0.40/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.complementImpComplementIntersect Bool) % 0.40/0.61 (declare-const tptp.complementT_lem Bool) % 0.40/0.61 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.binintersectT_lem Bool) % 0.40/0.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.40/0.61 (define @t1 () (@var "A" $$unsorted)) % 0.40/0.61 (define @t2 () (_ tptp.powerset @t1)) % 0.40/0.61 (define @t3 () (@var "Y" $$unsorted)) % 0.40/0.61 (define @t4 () (@var "X" $$unsorted)) % 0.40/0.61 (define @t5 () (_ (_ tptp.binintersect @t4) @t3)) % 0.40/0.61 (define @t6 () (_ (_ tptp.in @t5) @t2)) % 0.40/0.61 (define @t7 () (_ tptp.in @t3)) % 0.40/0.61 (define @t8 () (_ @t7 @t2)) % 0.40/0.61 (define @t9 () (@list @t3)) % 0.40/0.61 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.40/0.61 (define @t11 () (_ tptp.in @t4)) % 0.40/0.61 (define @t12 () (_ @t11 @t2)) % 0.40/0.61 (define @t13 () (=> @t12 @t10)) % 0.40/0.61 (define @t14 () (@list @t1 @t4)) % 0.40/0.61 (define @t15 () (forall @t14 @t13)) % 0.40/0.61 (define @t16 () (= tptp.binintersectT_lem @t15)) % 0.40/0.61 (define @t17 () (_ tptp.setminus @t1)) % 0.40/0.61 (define @t18 () (_ @t17 @t4)) % 0.40/0.61 (define @t19 () (_ (_ tptp.in @t18) @t2)) % 0.40/0.61 (define @t20 () (forall @t14 (=> @t12 @t19))) % 0.40/0.61 (define @t21 () (= tptp.complementT_lem @t20)) % 0.40/0.61 (define @t22 () (_ (_ tptp.subset @t4) @t3)) % 0.40/0.61 (define @t23 () (@var "Xx" $$unsorted)) % 0.40/0.61 (define @t24 () (_ tptp.in @t23)) % 0.40/0.61 (define @t25 () (_ @t24 @t3)) % 0.40/0.61 (define @t26 () (_ @t24 @t4)) % 0.40/0.61 (define @t27 () (=> @t26 @t25)) % 0.40/0.61 (define @t28 () (_ @t24 @t1)) % 0.40/0.61 (define @t29 () (@list @t23)) % 0.40/0.61 (define @t30 () (forall @t29 (=> @t28 @t27))) % 0.40/0.61 (define @t31 () (=> @t30 @t22)) % 0.40/0.61 (define @t32 () (=> @t8 @t31)) % 0.40/0.61 (define @t33 () (forall @t9 @t32)) % 0.40/0.61 (define @t34 () (=> @t12 @t33)) % 0.40/0.61 (define @t35 () (forall @t14 @t34)) % 0.40/0.61 (define @t36 () (= tptp.subsetTI @t35)) % 0.40/0.61 (define @t37 () (_ @t17 @t5)) % 0.40/0.61 (define @t38 () (_ @t24 @t37)) % 0.40/0.61 (define @t39 () (_ @t24 @t18)) % 0.40/0.61 (define @t40 () (=> @t39 @t38)) % 0.40/0.61 (define @t41 () (forall @t29 (=> @t28 @t40))) % 0.40/0.61 (define @t42 () (=> @t8 @t41)) % 0.40/0.61 (define @t43 () (forall @t9 @t42)) % 0.40/0.61 (define @t44 () (=> @t12 @t43)) % 0.40/0.61 (define @t45 () (forall @t14 @t44)) % 0.40/0.61 (define @t46 () (= tptp.complementImpComplementIntersect @t45)) % 0.40/0.61 (define @t47 () (_ (_ tptp.subset @t18) @t37)) % 0.40/0.61 (define @t48 () (forall @t9 (=> @t8 @t47))) % 0.40/0.61 (define @t49 () (=> @t12 @t48)) % 0.40/0.61 (define @t50 () (forall @t14 @t49)) % 0.40/0.61 (define @t51 () (=> tptp.complementImpComplementIntersect @t50)) % 0.40/0.61 (define @t52 () (=> tptp.subsetTI @t51)) % 0.40/0.61 (define @t53 () (=> tptp.complementT_lem @t52)) % 0.40/0.61 (define @t54 () (=> tptp.binintersectT_lem @t53)) % 0.40/0.61 (define @t55 () (not @t54)) % 0.40/0.61 (define @t56 () (@var "BOUND_VARIABLE_7648" $$unsorted)) % 0.40/0.61 (define @t57 () (tptp.setminus @t1 @t4)) % 0.40/0.61 (define @t58 () (tptp.subset @t57 (tptp.setminus @t1 (tptp.binintersect @t4 @t56)))) % 0.40/0.61 (define @t59 () (tptp.powerset @t1)) % 0.40/0.61 (define @t60 () (not (tptp.in @t56 @t59))) % 0.40/0.61 (define @t61 () (tptp.in @t4 @t59)) % 0.40/0.61 (define @t62 () (not @t61)) % 0.40/0.61 (define @t63 () (or @t62 @t60 @t58)) % 0.40/0.61 (define @t64 () (@list @t1 @t4 @t56)) % 0.40/0.61 (define @t65 () (forall @t64 @t63)) % 0.40/0.61 (define @t66 () (@var "BOUND_VARIABLE_7614" $$unsorted)) % 0.40/0.61 (define @t67 () (@var "BOUND_VARIABLE_7616" $$unsorted)) % 0.40/0.61 (define @t68 () (tptp.in @t67 (tptp.setminus @t1 (tptp.binintersect @t4 @t66)))) % 0.40/0.61 (define @t69 () (not (tptp.in @t67 @t57))) % 0.40/0.61 (define @t70 () (not (tptp.in @t67 @t1))) % 0.40/0.61 (define @t71 () (not (tptp.in @t66 @t59))) % 0.40/0.61 (define @t72 () (or @t62 @t71 @t70 @t69 @t68)) % 0.40/0.61 (define @t73 () (or @t71 @t70 @t69 @t68)) % 0.40/0.61 (define @t74 () (or @t62 @t73)) % 0.40/0.61 (define @t75 () (@list @t1 @t4 @t66 @t67)) % 0.40/0.61 (define @t76 () (forall @t75 @t74)) % 0.40/0.61 (define @t77 () (@list @t66 @t67)) % 0.40/0.61 (define @t78 () (forall @t77 @t74)) % 0.40/0.61 (define @t79 () (forall @t77 @t73)) % 0.40/0.61 (define @t80 () (@var "BOUND_VARIABLE_7595" $$unsorted)) % 0.40/0.61 (define @t81 () (or @t62 @t79)) % 0.40/0.61 (define @t82 () (tptp.binintersect @t4 @t3)) % 0.40/0.61 (define @t83 () (tptp.setminus @t1 @t82)) % 0.40/0.61 (define @t84 () (tptp.in @t80 @t83)) % 0.40/0.61 (define @t85 () (not (tptp.in @t80 @t57))) % 0.40/0.61 (define @t86 () (not (tptp.in @t80 @t1))) % 0.40/0.61 (define @t87 () (tptp.in @t3 @t59)) % 0.40/0.61 (define @t88 () (not @t87)) % 0.40/0.61 (define @t89 () (or @t88 @t86 @t85 @t84)) % 0.40/0.61 (define @t90 () (@list @t3 @t80)) % 0.40/0.61 (define @t91 () (forall @t90 @t89)) % 0.40/0.61 (define @t92 () (not @t12)) % 0.40/0.61 (define @t93 () (or @t92 @t91)) % 0.40/0.61 (define @t94 () (or @t86 @t85 @t84)) % 0.40/0.61 (define @t95 () (or @t88 @t94)) % 0.40/0.61 (define @t96 () (forall @t90 @t95)) % 0.40/0.61 (define @t97 () (@list @t80)) % 0.40/0.61 (define @t98 () (forall @t97 @t95)) % 0.40/0.61 (define @t99 () (forall @t97 @t94)) % 0.40/0.61 (define @t100 () (or @t88 @t99)) % 0.40/0.61 (define @t101 () (tptp.in @t23 @t83)) % 0.40/0.61 (define @t102 () (tptp.in @t23 @t57)) % 0.40/0.61 (define @t103 () (tptp.in @t23 @t1)) % 0.40/0.61 (define @t104 () (not @t103)) % 0.40/0.61 (define @t105 () (forall @t29 (or @t104 (not @t102) @t101))) % 0.40/0.61 (define @t106 () (not @t8)) % 0.40/0.61 (define @t107 () (or @t106 @t105)) % 0.40/0.61 (define @t108 () (not @t39)) % 0.40/0.61 (define @t109 () (not @t28)) % 0.40/0.61 (define @t110 () (or @t109 @t108 @t38)) % 0.40/0.61 (define @t111 () (=> tptp.complementImpComplementIntersect @t65)) % 0.40/0.61 (define @t112 () (@var "BOUND_VARIABLE_7559" $$unsorted)) % 0.40/0.61 (define @t113 () (tptp.subset @t4 @t112)) % 0.40/0.61 (define @t114 () (tptp.in @t23 @t4)) % 0.40/0.61 (define @t115 () (not @t114)) % 0.40/0.61 (define @t116 () (not (forall @t29 (or @t104 @t115 (tptp.in @t23 @t112))))) % 0.40/0.61 (define @t117 () (not (tptp.in @t112 @t59))) % 0.40/0.61 (define @t118 () (or @t117 @t116 @t113)) % 0.40/0.61 (define @t119 () (or @t62 @t118)) % 0.40/0.61 (define @t120 () (forall (@list @t1 @t4 @t112) @t119)) % 0.40/0.61 (define @t121 () (@list @t112)) % 0.40/0.61 (define @t122 () (forall @t121 @t119)) % 0.40/0.61 (define @t123 () (forall @t121 @t118)) % 0.40/0.61 (define @t124 () (@list @t3)) % 0.40/0.61 (define @t125 () (or @t62 @t123)) % 0.40/0.61 (define @t126 () (tptp.subset @t4 @t3)) % 0.40/0.61 (define @t127 () (tptp.in @t23 @t3)) % 0.40/0.61 (define @t128 () (forall @t29 (or @t104 @t115 @t127))) % 0.40/0.61 (define @t129 () (not @t128)) % 0.40/0.61 (define @t130 () (forall @t9 (or @t88 @t129 @t126))) % 0.40/0.61 (define @t131 () (or @t92 @t130)) % 0.40/0.61 (define @t132 () (or @t106 @t129 @t22)) % 0.40/0.61 (define @t133 () (=> @t128 @t22)) % 0.40/0.61 (define @t134 () (not @t26)) % 0.40/0.61 (define @t135 () (or @t109 @t134 @t25)) % 0.40/0.61 (define @t136 () (=> tptp.subsetTI @t111)) % 0.40/0.61 (define @t137 () (tptp.in @t57 @t59)) % 0.40/0.61 (define @t138 () (or @t92 @t19)) % 0.40/0.61 (define @t139 () (=> tptp.complementT_lem @t136)) % 0.40/0.61 (define @t140 () (@var "BOUND_VARIABLE_7507" $$unsorted)) % 0.40/0.61 (define @t141 () (tptp.in (tptp.binintersect @t4 @t140) @t59)) % 0.40/0.61 (define @t142 () (not (tptp.in @t140 @t59))) % 0.40/0.61 (define @t143 () (or @t142 @t141)) % 0.40/0.61 (define @t144 () (or @t62 @t143)) % 0.40/0.61 (define @t145 () (forall (@list @t1 @t4 @t140) @t144)) % 0.40/0.61 (define @t146 () (@list @t140)) % 0.40/0.61 (define @t147 () (forall @t146 @t144)) % 0.40/0.61 (define @t148 () (forall @t146 @t143)) % 0.40/0.61 (define @t149 () (or @t62 @t148)) % 0.40/0.61 (define @t150 () (tptp.in @t82 @t59)) % 0.40/0.61 (define @t151 () (forall @t9 (or @t88 @t150))) % 0.40/0.61 (define @t152 () (or @t92 @t151)) % 0.40/0.61 (define @t153 () (or @t106 @t6)) % 0.40/0.61 (define @t154 () (=> tptp.binintersectT_lem @t139)) % 0.40/0.61 (define @t155 () (or @t60 @t58)) % 0.40/0.61 (define @t156 () (or @t62 @t155)) % 0.40/0.61 (define @t157 () (forall @t64 @t156)) % 0.40/0.61 (define @t158 () (@list @t56)) % 0.40/0.61 (define @t159 () (forall @t158 @t156)) % 0.40/0.61 (define @t160 () (forall @t158 @t155)) % 0.40/0.61 (define @t161 () (or @t62 @t160)) % 0.40/0.61 (define @t162 () (tptp.subset @t57 @t83)) % 0.40/0.61 (define @t163 () (forall @t9 (or @t88 @t162))) % 0.40/0.61 (define @t164 () (or @t92 @t163)) % 0.40/0.61 (define @t165 () (or @t106 @t47)) % 0.40/0.61 (define @t166 () (@quantifiers_skolemize @t65 2)) % 0.40/0.61 (define @t167 () (@quantifiers_skolemize @t65 1)) % 0.40/0.61 (define @t168 () (tptp.binintersect @t167 @t166)) % 0.40/0.61 (define @t169 () (@quantifiers_skolemize @t65 0)) % 0.40/0.61 (define @t170 () (tptp.setminus @t169 @t168)) % 0.40/0.61 (define @t171 () (tptp.setminus @t169 @t167)) % 0.40/0.61 (define @t172 () (tptp.powerset @t169)) % 0.40/0.61 (define @t173 () (tptp.in @t166 @t172)) % 0.40/0.61 (define @t174 () (tptp.subset @t171 @t170)) % 0.40/0.61 (define @t175 () (not @t173)) % 0.40/0.61 (define @t176 () (tptp.in @t167 @t172)) % 0.40/0.61 (define @t177 () (not @t176)) % 0.40/0.61 (define @t178 () (or @t177 @t175 @t174)) % 0.40/0.61 (define @t179 () (@list true)) % 0.40/0.61 (define @t180 () (@list @t178)) % 0.40/0.61 (define @t181 () (tptp.in @t168 @t172)) % 0.40/0.61 (define @t182 () (or @t177 @t175 @t181)) % 0.40/0.61 (define @t183 () (tptp.in @t170 @t172)) % 0.40/0.61 (define @t184 () (not @t181)) % 0.40/0.61 (define @t185 () (or @t184 @t183)) % 0.40/0.61 (define @t186 () (@list false false)) % 0.40/0.61 (define @t187 () (tptp.in @t171 @t172)) % 0.40/0.61 (define @t188 () (or @t177 @t187)) % 0.40/0.61 (define @t189 () (forall @t29 (or (not (tptp.in @t23 @t169)) (not (tptp.in @t23 @t171)) (tptp.in @t23 @t170)))) % 0.40/0.61 (define @t190 () (not @t189)) % 0.40/0.61 (define @t191 () (not @t183)) % 0.40/0.61 (define @t192 () (not @t187)) % 0.40/0.61 (define @t193 () (or @t192 @t191 @t190 @t174)) % 0.40/0.61 (define @t194 () (@quantifiers_skolemize @t189 0)) % 0.40/0.61 (define @t195 () (tptp.in @t194 @t170)) % 0.40/0.61 (define @t196 () (tptp.in @t194 @t171)) % 0.40/0.61 (define @t197 () (not @t196)) % 0.40/0.61 (define @t198 () (tptp.in @t194 @t169)) % 0.40/0.61 (define @t199 () (not @t198)) % 0.40/0.61 (define @t200 () (or @t199 @t197 @t195)) % 0.40/0.61 (define @t201 () (@list @t200)) % 0.40/0.61 (define @t202 () (or @t177 @t175 @t199 @t197 @t195)) % 0.40/0.61 (define @t203 () (not @t202)) % 0.40/0.61 (define @t204 () (forall @t75 @t72)) % 0.40/0.61 (assume @p1 @t16) % 0.40/0.61 (assume @p2 @t21) % 0.40/0.61 (assume @p3 @t36) % 0.40/0.61 (assume @p4 @t46) % 0.40/0.61 (assume @p5 @t55) % 0.40/0.61 (assume @p6 true) % 0.40/0.61 (step @p7 :rule refl :args (@t65)) % 0.40/0.61 (step @p8 :rule aci_norm :args ((= @t74 @t72))) % 0.40/0.61 (step @p9 :rule cong :premises (@p8) :args (@t76)) % 0.40/0.61 (step @p10 :rule quant-merge-prenex :args ((= (forall @t14 @t78) @t76))) % 0.40/0.61 (step @p11 :rule alpha_equiv :args (@t79 (@list @t66 @t67) (@list @t3 @t80))) % 0.40/0.62 (step @p12 :rule refl :args (@t62)) % 0.40/0.62 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t81)) % 0.40/0.62 (step @p14 :rule quant-miniscope-or :args ((= @t78 @t81))) % 0.40/0.62 (step @p15 :rule trans :premises (@p14 @p13)) % 0.40/0.62 (step @p16 :rule symm :premises (@p15)) % 0.40/0.62 (step @p17 :rule cong :premises (@p16) :args ((forall @t14 (or @t62 @t91)))) % 0.40/0.62 (step @p18 :rule trans :premises (@p17 @p10)) % 0.40/0.62 (step @p19 :rule trans :premises (@p18 @p9)) % 0.40/0.62 (step @p20 :rule refl :args (@t91)) % 0.40/0.62 (step @p21 :rule refl :args ((tptp.in @t4 @t2))) % 0.40/0.62 (step @p22 :rule refl :args (@t59)) % 0.40/0.62 (step @p23 :rule refl :args (@t4)) % 0.40/0.62 (step @p24 :rule cong :premises (@p23 @p22) :args (@t61)) % 0.40/0.62 (step @p25 :rule trans :premises (@p24 @p21)) % 0.40/0.62 (step @p26 :rule refl :args (@t11)) % 0.40/0.62 (step @p27 :rule ho_cong :premises (@p26 @p22)) % 0.40/0.62 (step @p28 :rule cong :premises (@p27 @p25) :args ((= (_ @t11 @t59) @t61))) % 0.40/0.62 (step @p29 :rule symm :premises (@p28)) % 0.40/0.62 (step @p30 :rule refl :args (@t12)) % 0.40/0.62 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.40/0.62 (step @p32 :rule refl :args (@t2)) % 0.40/0.62 (step @p33 :rule cong :premises (@p32 @p22) :args ((= @t2 @t59))) % 0.40/0.62 (step @p34 :rule symm :premises (@p33)) % 0.40/0.62 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.40/0.62 (step @p36 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(step @p307 :rule ho_cong :premises (@p306 @p82)) % 0.40/0.62 (step @p308 :rule cong :premises (@p307 @p304) :args ((= (_ (_ tptp.subset @t57) @t83) @t162))) % 0.40/0.62 (step @p309 :rule symm :premises (@p308)) % 0.40/0.62 (step @p310 :rule refl :args (@t47)) % 0.40/0.62 (step @p311 :rule eq_resolve :premises (@p310 @p309)) % 0.40/0.62 (step @p312 :rule ho_cong :premises (@p305 @p118)) % 0.40/0.62 (step @p313 :rule ho_cong :premises (@p312 @p103)) % 0.40/0.62 (step @p314 :rule trans :premises (@p313 @p311)) % 0.40/0.62 (step @p315 :rule nary_cong :premises (@p70 @p314) :args (@t165)) % 0.40/0.62 (step @p316 :rule cong :premises (@p315) :args ((forall @t9 @t165))) % 0.40/0.62 (step @p317 :rule bool-impl-elim :args (@t8 @t47)) % 0.40/0.62 (step @p318 :rule cong :premises (@p317) :args (@t48)) % 0.40/0.62 (step @p319 :rule trans :premises (@p318 @p316)) % 0.40/0.62 (step @p320 :rule cong :premises (@p143 @p319) :args (@t49)) % 0.40/0.62 (step @p321 :rule cong :premises (@p320) :args (@t50)) % 0.40/0.62 (step @p322 :rule trans :premises (@p321 @p301)) % 0.40/0.62 (step @p323 :rule cong :premises (@p147 @p322) :args (@t51)) % 0.40/0.62 (step @p324 :rule cong :premises (@p215 @p323) :args (@t52)) % 0.40/0.62 (step @p325 :rule cong :premises (@p237 @p324) :args (@t53)) % 0.40/0.62 (step @p326 :rule cong :premises (@p279 @p325) :args (@t54)) % 0.40/0.62 (step @p327 :rule cong :premises (@p326) :args (@t55)) % 0.40/0.62 (step @p328 :rule trans :premises (@p327 @p283)) % 0.40/0.62 (step @p329 :rule eq_resolve :premises (@p5 @p328)) % 0.40/0.62 (step @p330 :rule not_implies_elim2 :premises (@p329)) % 0.40/0.62 (step @p331 :rule not_implies_elim2 :premises (@p330)) % 0.40/0.62 (step @p332 :rule not_implies_elim2 :premises (@p331)) % 0.40/0.62 (step @p333 :rule not_implies_elim1 :premises (@p332)) % 0.40/0.62 (step @p334 :rule not_implies_elim1 :premises (@p331)) % 0.40/0.62 (step @p335 :rule instantiate :premises (@p334) :args ((@list @t169 @t171 @t170))) % 0.40/0.62 (step @p336 :rule not_implies_elim1 :premises (@p330)) % 0.40/0.62 (step @p337 :rule instantiate :premises (@p336) :args ((@list @t169 @t168))) % 0.40/0.62 (step @p338 :rule not_implies_elim1 :premises (@p329)) % 0.40/0.62 (step @p339 :rule instantiate :premises (@p338) :args ((@list @t169 @t167 @t166))) % 0.40/0.62 (step @p340 :rule not_implies_elim2 :premises (@p332)) % 0.40/0.62 (step @p341 :rule skolemize :premises (@p340)) % 0.40/0.62 (step @p342 :rule bool-double-not-elim :args (@t173)) % 0.40/0.62 (step @p343 :rule refl :args (@t178)) % 0.40/0.62 (step @p344 :rule nary_cong :premises (@p343 @p342) :args ((or @t178 (not @t175)))) % 0.40/0.62 (step @p345 :rule cnf_or_neg :args (@t178 1)) % 0.40/0.62 (step @p346 :rule eq_resolve :premises (@p345 @p344)) % 0.40/0.62 (step @p347 :rule reordering :premises (@p346) :args ((or @t173 @t178))) % 0.40/0.62 (step @p348 :rule chain_m_resolution :premises (@p347 @p341) :args (@t173 @t179 @t180)) % 0.40/0.62 (step @p349 :rule bool-double-not-elim :args (@t176)) % 0.40/0.62 (step @p350 :rule nary_cong :premises (@p343 @p349) :args ((or @t178 (not @t177)))) % 0.40/0.62 (step @p351 :rule cnf_or_neg :args (@t178 0)) % 0.40/0.62 (step @p352 :rule eq_resolve :premises (@p351 @p350)) % 0.40/0.62 (step @p353 :rule reordering :premises (@p352) :args ((or @t176 @t178))) % 0.40/0.62 (step @p354 :rule chain_m_resolution :premises (@p353 @p341) :args (@t176 @t179 @t180)) % 0.40/0.62 (step @p355 :rule cnf_or_pos :args (@t182)) % 0.40/0.62 (step @p356 :rule reordering :premises (@p355) :args ((or @t177 @t175 @t181 (not @t182)))) % 0.40/0.62 (step @p357 :rule chain_m_resolution :premises (@p356 @p354 @p348 @p339) :args (@t181 (@list false false false) (@list @t176 @t173 @t182))) % 0.40/0.62 (step @p358 :rule cnf_or_pos :args (@t185)) % 0.40/0.62 (step @p359 :rule reordering :premises (@p358) :args ((or @t184 @t183 (not @t185)))) % 0.40/0.62 (step @p360 :rule chain_m_resolution :premises (@p359 @p357 @p337) :args (@t183 @t186 (@list @t181 @t185))) % 0.40/0.62 (step @p361 :rule instantiate :premises (@p336) :args ((@list @t169 @t167))) % 0.40/0.62 (step @p362 :rule cnf_or_pos :args (@t188)) % 0.40/0.62 (step @p363 :rule reordering :premises (@p362) :args ((or @t177 @t187 (not @t188)))) % 0.40/0.62 (step @p364 :rule chain_m_resolution :premises (@p363 @p354 @p361) :args (@t187 @t186 (@list @t176 @t188))) % 0.40/0.62 (step @p365 :rule cnf_or_neg :args (@t178 2)) % 0.40/0.62 (step @p366 :rule chain_m_resolution :premises (@p365 @p341) :args ((not @t174) @t179 @t180)) % 0.40/0.62 (step @p367 :rule cnf_or_pos :args (@t193)) % 0.40/0.62 (step @p368 :rule reordering :premises (@p367) :args ((or @t174 @t192 @t191 @t190 (not @t193)))) % 0.40/0.62 (step @p369 :rule chain_m_resolution :premises (@p368 @p366 @p364 @p360 @p335) :args (@t190 (@list true false false false) (@list @t174 @t187 @t183 @t193))) % 0.40/0.62 (step @p370 :rule skolemize :premises (@p369)) % 0.40/0.62 (step @p371 :rule cnf_or_neg :args (@t200 2)) % 0.40/0.62 (step @p372 :rule chain_m_resolution :premises (@p371 @p370) :args ((not @t195) @t179 @t201)) % 0.40/0.62 (step @p373 :rule bool-double-not-elim :args (@t196)) % 0.40/0.62 (step @p374 :rule refl :args (@t200)) % 0.40/0.62 (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or @t200 (not @t197)))) % 0.40/0.62 (step @p376 :rule cnf_or_neg :args (@t200 1)) % 0.40/0.62 (step @p377 :rule eq_resolve :premises (@p376 @p375)) % 0.40/0.62 (step @p378 :rule reordering :premises (@p377) :args ((or @t196 @t200))) % 0.40/0.62 (step @p379 :rule chain_m_resolution :premises (@p378 @p370) :args (@t196 @t179 @t201)) % 0.40/0.62 (step @p380 :rule bool-double-not-elim :args (@t198)) % 0.40/0.62 (step @p381 :rule nary_cong :premises (@p374 @p380) :args ((or @t200 (not @t199)))) % 0.40/0.62 (step @p382 :rule cnf_or_neg :args (@t200 0)) % 0.40/0.62 (step @p383 :rule eq_resolve :premises (@p382 @p381)) % 0.40/0.62 (step @p384 :rule reordering :premises (@p383) :args ((or @t198 @t200))) % 0.40/0.62 (step @p385 :rule chain_m_resolution :premises (@p384 @p370) :args (@t198 @t179 @t201)) % 0.40/0.62 (step @p386 :rule cnf_or_pos :args (@t202)) % 0.40/0.62 (step @p387 :rule reordering :premises (@p386) :args ((or @t177 @t175 @t199 @t197 @t195 @t203))) % 0.40/0.62 (step @p388 :rule chain_m_resolution :premises (@p387 @p354 @p348 @p385 @p379 @p372) :args (@t203 (@list false false false false true) (@list @t176 @t173 @t198 @t196 @t195))) % 0.40/0.62 (assume-push @p395 @t204) % 0.40/0.62 (step @p390 :rule instantiate :premises (@p333) :args ((@list @t169 @t167 @t166 @t194))) % 0.40/0.62 (step-pop @p396 :rule scope :premises (@p390)) % 0.40/0.62 (step @p391 :rule process_scope :premises (@p396) :args (@t202)) % 0.40/0.62 (step @p393 :rule implies_elim :premises (@p391)) % 0.40/0.62 (step @p394 false :rule chain_m_resolution :premises (@p393 @p388 @p333) :args (false (@list true false) (@list @t202 @t204))) % 0.40/0.62 ) % 0.40/0.62 % SZS output end Proof % 0.40/0.62 % cvc5 exiting %------------------------------------------------------------------------------