%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV011^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:55:19 AM UTC 2026 % Result : Theorem 0.94s 1.18s % Output : Proof 0.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV011^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.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 18:07:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.49 %----Proving TH0 % 0.94/1.18 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.94/1.18 % SZS status Theorem % 0.94/1.18 % SZS output start Proof % 0.94/1.18 ( % 0.94/1.18 (declare-sort tptp.a 0) % 0.94/1.18 (define @t1 () (@var "Xp" (-> tptp.a Bool))) % 0.94/1.18 (define @t2 () (@var "Xq" (-> tptp.a Bool))) % 0.94/1.18 (define @t3 () (@var "Xx" tptp.a)) % 0.94/1.18 (define @t4 () (_ @t2 @t3)) % 0.94/1.18 (define @t5 () (@var "Xy" tptp.a)) % 0.94/1.18 (define @t6 () (@var "Xx0" tptp.a)) % 0.94/1.18 (define @t7 () (@var "R" (-> tptp.a tptp.a Bool))) % 0.94/1.18 (define @t8 () (_ (_ @t7 @t6) @t5)) % 0.94/1.18 (define @t9 () (_ @t2 @t5)) % 0.94/1.18 (define @t10 () (@list @t5)) % 0.94/1.18 (define @t11 () (forall @t10 (= @t9 @t8))) % 0.94/1.18 (define @t12 () (_ @t2 @t6)) % 0.94/1.18 (define @t13 () (=> @t12 @t11)) % 0.94/1.18 (define @t14 () (@list @t6)) % 0.94/1.18 (define @t15 () (forall @t14 @t13)) % 0.94/1.18 (define @t16 () (and @t15 @t4)) % 0.94/1.18 (define @t17 () (=> @t16 (= @t2 @t1))) % 0.94/1.18 (define @t18 () (@list @t2)) % 0.94/1.18 (define @t19 () (forall @t18 @t17)) % 0.94/1.18 (define @t20 () (_ @t1 @t3)) % 0.94/1.18 (define @t21 () (_ @t1 @t5)) % 0.94/1.18 (define @t22 () (= @t21 @t8)) % 0.94/1.18 (define @t23 () (forall @t10 @t22)) % 0.94/1.18 (define @t24 () (_ @t1 @t6)) % 0.94/1.18 (define @t25 () (=> @t24 @t23)) % 0.94/1.18 (define @t26 () (forall @t14 @t25)) % 0.94/1.18 (define @t27 () (and @t26 @t20 @t19)) % 0.94/1.18 (define @t28 () (@list @t1)) % 0.94/1.18 (define @t29 () (exists @t28 @t27)) % 0.94/1.18 (define @t30 () (@list @t3)) % 0.94/1.18 (define @t31 () (forall @t30 @t29)) % 0.94/1.18 (define @t32 () (@var "Xz" tptp.a)) % 0.94/1.18 (define @t33 () (_ @t7 @t3)) % 0.94/1.18 (define @t34 () (_ @t33 @t32)) % 0.94/1.18 (define @t35 () (_ @t7 @t5)) % 0.94/1.18 (define @t36 () (_ @t35 @t32)) % 0.94/1.18 (define @t37 () (_ @t33 @t5)) % 0.94/1.18 (define @t38 () (and @t37 @t36)) % 0.94/1.18 (define @t39 () (@list @t3 @t5 @t32)) % 0.94/1.18 (define @t40 () (forall @t39 (=> @t38 @t34))) % 0.94/1.18 (define @t41 () (_ @t35 @t3)) % 0.94/1.18 (define @t42 () (@list @t3 @t5)) % 0.94/1.18 (define @t43 () (forall @t42 (=> @t37 @t41))) % 0.94/1.18 (define @t44 () (_ @t33 @t3)) % 0.94/1.18 (define @t45 () (forall @t30 @t44)) % 0.94/1.18 (define @t46 () (and @t45 @t43 @t40)) % 0.94/1.18 (define @t47 () (=> @t46 @t31)) % 0.94/1.18 (define @t48 () (@list @t7)) % 0.94/1.18 (define @t49 () (forall @t48 @t47)) % 0.94/1.18 (define @t50 () (not @t49)) % 0.94/1.18 (define @t51 () (= @t1 @t2)) % 0.94/1.18 (define @t52 () (@var "BOUND_VARIABLE_7567" tptp.a)) % 0.94/1.18 (define @t53 () (@var "BOUND_VARIABLE_7520" tptp.a)) % 0.94/1.18 (define @t54 () (_ @t2 @t53)) % 0.94/1.18 (define @t55 () (= (_ @t7 @t6 @t53) @t54)) % 0.94/1.18 (define @t56 () (_ @t2 @t6)) % 0.94/1.18 (define @t57 () (not @t56)) % 0.94/1.18 (define @t58 () (or @t57 @t55)) % 0.94/1.18 (define @t59 () (@list @t6 @t53)) % 0.94/1.18 (define @t60 () (forall @t59 @t58)) % 0.94/1.18 (define @t61 () (not @t60)) % 0.94/1.18 (define @t62 () (@var "BOUND_VARIABLE_7498" tptp.a)) % 0.94/1.18 (define @t63 () (_ @t1 @t62)) % 0.94/1.18 (define @t64 () (= @t63 (_ @t7 @t6 @t62))) % 0.94/1.18 (define @t65 () (_ @t1 @t6)) % 0.94/1.18 (define @t66 () (not @t65)) % 0.94/1.18 (define @t67 () (or @t66 @t64)) % 0.94/1.18 (define @t68 () (@list @t6 @t62)) % 0.94/1.18 (define @t69 () (forall @t68 @t67)) % 0.94/1.18 (define @t70 () (not @t69)) % 0.94/1.18 (define @t71 () (not (forall @t28 (or @t70 (not (_ @t1 @t52)) (not (forall @t18 (or @t61 (not (_ @t2 @t52)) @t51))))))) % 0.94/1.18 (define @t72 () (_ @t7 @t3 @t32)) % 0.94/1.18 (define @t73 () (_ @t7 @t5 @t32)) % 0.94/1.18 (define @t74 () (_ @t7 @t3 @t5)) % 0.94/1.18 (define @t75 () (not @t74)) % 0.94/1.18 (define @t76 () (forall @t39 (or @t75 (not @t73) @t72))) % 0.94/1.18 (define @t77 () (not @t76)) % 0.94/1.18 (define @t78 () (_ @t7 @t5 @t3)) % 0.94/1.18 (define @t79 () (forall @t42 (or @t75 @t78))) % 0.94/1.18 (define @t80 () (not @t79)) % 0.94/1.18 (define @t81 () (_ @t7 @t3 @t3)) % 0.94/1.18 (define @t82 () (forall @t30 @t81)) % 0.94/1.18 (define @t83 () (not @t82)) % 0.94/1.18 (define @t84 () (or @t83 @t80 @t77 @t71)) % 0.94/1.18 (define @t85 () (forall (@list @t7 @t52) @t84)) % 0.94/1.18 (define @t86 () (@list @t52)) % 0.94/1.18 (define @t87 () (forall @t86 @t84)) % 0.94/1.18 (define @t88 () (forall @t86 @t71)) % 0.94/1.18 (define @t89 () (or @t83 @t80 @t77 @t88)) % 0.94/1.18 (define @t90 () (_ @t2 @t3)) % 0.94/1.18 (define @t91 () (forall @t18 (or @t61 (not @t90) @t51))) % 0.94/1.18 (define @t92 () (not @t91)) % 0.94/1.18 (define @t93 () (_ @t1 @t3)) % 0.94/1.18 (define @t94 () (forall @t30 (not (forall @t28 (or @t70 (not @t93) @t92))))) % 0.94/1.18 (define @t95 () (or @t83 @t80 @t77 @t94)) % 0.94/1.18 (define @t96 () (or @t83 @t80 @t77)) % 0.94/1.18 (define @t97 () (and @t82 @t79 @t76)) % 0.94/1.18 (define @t98 () (not @t20)) % 0.94/1.18 (define @t99 () (or @t70 @t98 @t92)) % 0.94/1.18 (define @t100 () (and @t69 @t20 @t91)) % 0.94/1.18 (define @t101 () (forall @t28 (not @t100))) % 0.94/1.18 (define @t102 () (not @t101)) % 0.94/1.18 (define @t103 () (not @t4)) % 0.94/1.18 (define @t104 () (or @t61 @t103 @t51)) % 0.94/1.18 (define @t105 () (and @t60 @t4)) % 0.94/1.18 (define @t106 () (@list @t53)) % 0.94/1.18 (define @t107 () (forall @t106 @t58)) % 0.94/1.18 (define @t108 () (forall @t106 @t55)) % 0.94/1.18 (define @t109 () (@list @t5)) % 0.94/1.18 (define @t110 () (or @t57 @t108)) % 0.94/1.18 (define @t111 () (_ @t2 @t5)) % 0.94/1.18 (define @t112 () (_ @t7 @t6 @t5)) % 0.94/1.18 (define @t113 () (forall @t10 (= @t112 @t111))) % 0.94/1.18 (define @t114 () (not @t12)) % 0.94/1.18 (define @t115 () (or @t114 @t113)) % 0.94/1.18 (define @t116 () (= @t8 @t9)) % 0.94/1.18 (define @t117 () (@list @t62)) % 0.94/1.18 (define @t118 () (forall @t117 @t67)) % 0.94/1.18 (define @t119 () (forall @t117 @t64)) % 0.94/1.18 (define @t120 () (or @t66 @t119)) % 0.94/1.18 (define @t121 () (_ @t1 @t5)) % 0.94/1.18 (define @t122 () (forall @t10 (= @t121 @t112))) % 0.94/1.18 (define @t123 () (not @t24)) % 0.94/1.18 (define @t124 () (or @t123 @t122)) % 0.94/1.18 (define @t125 () (not @t36)) % 0.94/1.18 (define @t126 () (not @t37)) % 0.94/1.18 (define @t127 () (or @t126 @t125 @t34)) % 0.94/1.18 (define @t128 () (or @t126 @t41)) % 0.94/1.18 (define @t129 () (@quantifiers_skolemize @t85 1)) % 0.94/1.18 (define @t130 () (not (_ @t2 @t129))) % 0.94/1.18 (define @t131 () (@quantifiers_skolemize @t85 0)) % 0.94/1.18 (define @t132 () (_ @t131 @t6 @t53)) % 0.94/1.18 (define @t133 () (not (forall @t59 (or @t57 (= @t54 @t132))))) % 0.94/1.18 (define @t134 () (not (_ @t1 @t129))) % 0.94/1.18 (define @t135 () (_ @t131 @t6 @t62)) % 0.94/1.18 (define @t136 () (not (forall @t68 (or @t66 (= @t63 @t135))))) % 0.94/1.18 (define @t137 () (forall @t28 (or @t136 @t134 (not (forall @t18 (or @t133 @t130 @t51)))))) % 0.94/1.18 (define @t138 () (not @t137)) % 0.94/1.18 (define @t139 () (not (_ @t131 @t3 @t5))) % 0.94/1.18 (define @t140 () (forall @t39 (or @t139 (not (_ @t131 @t5 @t32)) (_ @t131 @t3 @t32)))) % 0.94/1.18 (define @t141 () (not @t140)) % 0.94/1.18 (define @t142 () (forall @t42 (or @t139 (_ @t131 @t5 @t3)))) % 0.94/1.18 (define @t143 () (not @t142)) % 0.94/1.18 (define @t144 () (forall @t30 (_ @t131 @t3 @t3))) % 0.94/1.18 (define @t145 () (not @t144)) % 0.94/1.18 (define @t146 () (or @t145 @t143 @t141 @t138)) % 0.94/1.18 (define @t147 () (not @t146)) % 0.94/1.18 (define @t148 () (not @t85)) % 0.94/1.18 (define @t149 () (or @t57 (= @t132 @t54))) % 0.94/1.18 (define @t150 () (forall @t59 @t149)) % 0.94/1.18 (define @t151 () (not @t150)) % 0.94/1.18 (define @t152 () (or @t151 @t130 @t51)) % 0.94/1.18 (define @t153 () (forall @t18 @t152)) % 0.94/1.18 (define @t154 () (not @t153)) % 0.94/1.18 (define @t155 () (or @t136 @t134 @t154)) % 0.94/1.18 (define @t156 () (forall @t28 @t155)) % 0.94/1.18 (define @t157 () (not @t156)) % 0.94/1.18 (define @t158 () (or @t145 @t143 @t141 @t157)) % 0.94/1.18 (define @t159 () (not @t158)) % 0.94/1.18 (define @t160 () (@list true)) % 0.94/1.18 (define @t161 () (@list @t146)) % 0.94/1.18 (define @t162 () (_ @t131 @t129)) % 0.94/1.18 (define @t163 () (forall @t18 (or @t133 @t130 (= @t2 @t162)))) % 0.94/1.18 (define @t164 () (not @t163)) % 0.94/1.18 (define @t165 () (_ @t131 @t129 @t129)) % 0.94/1.18 (define @t166 () (_ @t162 @t129)) % 0.94/1.18 (define @t167 () (not @t166)) % 0.94/1.18 (define @t168 () (_ @t131 @t129 @t62)) % 0.94/1.18 (define @t169 () (_ @t131 @t129 @t6)) % 0.94/1.18 (define @t170 () (forall @t68 (or (not @t169) (= @t135 @t168)))) % 0.94/1.18 (define @t171 () (not @t170)) % 0.94/1.18 (define @t172 () (or @t171 @t167 @t164)) % 0.94/1.18 (define @t173 () (or @t133 @t130 (= @t162 @t2))) % 0.94/1.18 (define @t174 () (forall @t18 @t173)) % 0.94/1.18 (define @t175 () (not @t174)) % 0.94/1.18 (define @t176 () (_ @t162 @t129)) % 0.94/1.18 (define @t177 () (not @t176)) % 0.94/1.18 (define @t178 () (_ @t162 @t62)) % 0.94/1.18 (define @t179 () (= @t135 @t178)) % 0.94/1.18 (define @t180 () (_ @t162 @t6)) % 0.94/1.18 (define @t181 () (not @t180)) % 0.94/1.18 (define @t182 () (or @t181 @t179)) % 0.94/1.18 (define @t183 () (_ @t162 @t62)) % 0.94/1.18 (define @t184 () (_ @t162 @t6)) % 0.94/1.18 (define @t185 () (not @t184)) % 0.94/1.18 (define @t186 () (or @t185 (= @t183 @t135))) % 0.94/1.18 (define @t187 () (forall @t68 @t186)) % 0.94/1.18 (define @t188 () (not @t187)) % 0.94/1.18 (define @t189 () (or @t188 @t177 @t175)) % 0.94/1.18 (define @t190 () (not @t165)) % 0.94/1.18 (define @t191 () (or @t171 @t190 @t164)) % 0.94/1.18 (define @t192 () (@list false)) % 0.94/1.18 (define @t193 () (@quantifiers_skolemize @t163 0)) % 0.94/1.18 (define @t194 () (_ @t193 @t53)) % 0.94/1.18 (define @t195 () (not (_ @t193 @t6))) % 0.94/1.18 (define @t196 () (forall @t59 (or @t195 (= @t132 @t194)))) % 0.94/1.18 (define @t197 () (= @t162 @t193)) % 0.94/1.18 (define @t198 () (_ @t193 @t129)) % 0.94/1.18 (define @t199 () (not @t198)) % 0.94/1.18 (define @t200 () (not @t196)) % 0.94/1.18 (define @t201 () (or @t200 @t199 @t197)) % 0.94/1.18 (define @t202 () (@const 0 tptp.a)) % 0.94/1.18 (define @t203 () (= (_ @t131 @t129 @t202) (_ @t193 @t202))) % 0.94/1.18 (define @t204 () (or @t199 @t203)) % 0.94/1.18 (define @t205 () (not @t201)) % 0.94/1.18 (define @t206 () (or @t195 (= @t194 @t132))) % 0.94/1.18 (define @t207 () (forall @t59 @t206)) % 0.94/1.18 (define @t208 () (not @t207)) % 0.94/1.18 (define @t209 () (or @t208 @t199 (= @t193 @t162))) % 0.94/1.18 (define @t210 () (not @t209)) % 0.94/1.18 (define @t211 () (@quantifiers_skolemize @t170 0)) % 0.94/1.18 (define @t212 () (_ @t131 @t129 @t211)) % 0.94/1.18 (define @t213 () (@quantifiers_skolemize @t170 1)) % 0.94/1.18 (define @t214 () (_ @t131 @t129 @t213)) % 0.94/1.18 (define @t215 () (_ @t131 @t211 @t213)) % 0.94/1.18 (define @t216 () (= @t215 @t214)) % 0.94/1.18 (define @t217 () (not @t212)) % 0.94/1.18 (define @t218 () (or @t217 @t216)) % 0.94/1.18 (define @t219 () (not @t215)) % 0.94/1.18 (define @t220 () (or @t217 @t219 @t214)) % 0.94/1.18 (define @t221 () (_ @t131 @t211 @t129)) % 0.94/1.18 (define @t222 () (or @t217 @t221)) % 0.94/1.18 (define @t223 () (not @t214)) % 0.94/1.18 (define @t224 () (not @t221)) % 0.94/1.18 (define @t225 () (or @t224 @t223 @t215)) % 0.94/1.18 (define @t226 () (not @t218)) % 0.94/1.18 (assume @p1 @t50) % 0.94/1.18 (assume @p2 true) % 0.94/1.18 (step @p3 :rule quant-merge-prenex :args ((= (forall @t48 @t87) @t85))) % 0.94/1.18 (step @p4 :rule alpha_equiv :args (@t88 (@list @t52) (@list @t3))) % 0.94/1.18 (step @p5 :rule refl :args (@t77)) % 0.94/1.18 (step @p6 :rule refl :args (@t80)) % 0.94/1.18 (step @p7 :rule refl :args (@t83)) % 0.94/1.18 (step @p8 :rule nary_cong :premises (@p7 @p6 @p5 @p4) :args (@t89)) % 0.94/1.18 (step @p9 :rule quant-miniscope-or :args ((= @t87 @t89))) % 0.94/1.18 (step @p10 :rule trans :premises (@p9 @p8)) % 0.94/1.18 (step @p11 :rule symm :premises (@p10)) % 0.94/1.18 (step @p12 :rule cong :premises (@p11) :args ((forall @t48 @t95))) % 0.94/1.18 (step @p13 :rule trans :premises (@p12 @p3)) % 0.94/1.18 (step @p14 :rule aci_norm :args ((= (or @t96 @t94) @t95))) % 0.94/1.18 (step @p15 :rule refl :args (@t94)) % 0.94/1.18 (step @p16 :rule aci_norm :args ((= (or @t83 (or @t80 @t77)) @t96))) % 0.94/1.18 (step @p17 :rule bool-and-de-morgan :args (@t79 @t76 true)) % 0.94/1.18 (step @p18 :rule nary_cong :premises (@p7 @p17) :args ((or @t83 (not (and @t79 @t76))))) % 0.94/1.18 (step @p19 :rule bool-and-de-morgan :args (@t82 @t79 (and @t76))) % 0.94/1.18 (step @p20 :rule trans :premises (@p19 @p18)) % 0.94/1.18 (step @p21 :rule trans :premises (@p20 @p16)) % 0.94/1.18 (step @p22 :rule nary_cong :premises (@p21 @p15) :args ((or (not @t97) @t94))) % 0.94/1.18 (step @p23 :rule trans :premises (@p22 @p14)) % 0.94/1.18 (step @p24 :rule bool-impl-elim :args (@t97 @t94)) % 0.94/1.18 (step @p25 :rule trans :premises (@p24 @p23)) % 0.94/1.18 (step @p26 :rule cong :premises (@p25) :args ((forall @t48 (=> @t97 @t94)))) % 0.94/1.18 (step @p27 :rule trans :premises (@p26 @p13)) % 0.94/1.18 (step @p28 :rule refl :args (@t92)) % 0.94/1.18 (step @p29 :rule refl :args (@t93)) % 0.94/1.18 (step @p30 :rule refl :args (@t20)) % 0.94/1.18 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t20 @t93))) % 0.94/1.18 (step @p32 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:args (@t201 0)) % 0.94/1.18 (step @p305 :rule eq_resolve :premises (@p304 @p303)) % 0.94/1.18 (step @p306 :rule reordering :premises (@p305) :args ((or @t196 @t201))) % 0.94/1.18 (step @p307 :rule bool-double-not-elim :args (@t198)) % 0.94/1.18 (step @p308 :rule nary_cong :premises (@p302 @p307) :args ((or @t201 (not @t199)))) % 0.94/1.18 (step @p309 :rule cnf_or_neg :args (@t201 1)) % 0.94/1.18 (step @p310 :rule eq_resolve :premises (@p309 @p308)) % 0.94/1.18 (step @p311 :rule reordering :premises (@p310) :args ((or @t198 @t201))) % 0.94/1.18 (step @p312 :rule cnf_or_neg :args (@t201 2)) % 0.94/1.18 ; WARNING: add trust step for TRUST % 0.94/1.18 ; trust TRUST THEORY_LEMMA % 0.94/1.18 (step @p313 :rule trust :premises () :args ((or @t197 (not @t203)))) % 0.94/1.18 (step @p314 :rule cnf_or_pos :args (@t204)) % 0.94/1.18 (step @p315 :rule reordering :premises (@p314) :args ((or @t199 @t203 (not @t204)))) % 0.94/1.18 (assume-push @p399 @t196) % 0.94/1.18 (step @p317 :rule instantiate :premises (@p399) :args ((@list @t129 @t202))) % 0.94/1.18 (step-pop @p400 :rule scope :premises (@p317)) % 0.94/1.18 (step @p318 :rule process_scope :premises (@p400) :args (@t204)) % 0.94/1.18 (step @p320 :rule implies_elim :premises (@p318)) % 0.94/1.18 (step @p321 :rule chain_m_resolution :premises (@p320 @p315 @p313 @p312 @p311 @p306) :args (@t201 (@list true true true false false) (@list @t204 @t203 @t197 @t198 @t196))) % 0.94/1.18 (step @p322 :rule refl :args (@t205)) % 0.94/1.18 (step @p323 :rule bool-double-not-elim :args (@t163)) % 0.94/1.18 (step @p324 :rule nary_cong :premises (@p323 @p322) :args ((or (not @t164) @t205))) % 0.94/1.18 (step @p325 :rule eq-symm :args (@t193 @t162)) % 0.94/1.18 (step @p326 :rule refl :args (@t199)) % 0.94/1.18 (step @p327 :rule eq-symm :args (@t194 @t132)) % 0.94/1.18 (step @p328 :rule refl :args (@t195)) % 0.94/1.18 (step @p329 :rule nary_cong :premises (@p328 @p327) :args (@t206)) % 0.94/1.18 (step @p330 :rule cong :premises (@p329) :args (@t207)) % 0.94/1.18 (step @p331 :rule cong :premises (@p330) :args (@t208)) % 0.94/1.18 (step @p332 :rule nary_cong :premises (@p331 @p326 @p325) :args (@t209)) % 0.94/1.18 (step @p333 :rule cong :premises (@p332) :args (@t210)) % 0.94/1.18 (step @p334 :rule cong :premises (@p247 @p333) :args ((=> @t164 @t210))) % 0.94/1.18 (assume-push @p401 @t164) % 0.94/1.18 (step @p336 :rule skolemize :premises (@p401)) % 0.94/1.18 (step-pop @p402 :rule scope :premises (@p336)) % 0.94/1.18 (step @p337 :rule process_scope :premises (@p402) :args (@t210)) % 0.94/1.18 (step @p339 :rule eq_resolve :premises (@p337 @p334)) % 0.94/1.18 (step @p340 :rule implies_elim :premises (@p339)) % 0.94/1.18 (step @p341 :rule eq_resolve :premises (@p340 @p324)) % 0.94/1.18 (step @p342 :rule chain_m_resolution :premises (@p341 @p321) :args (@t163 @t192 (@list @t201))) % 0.94/1.18 (step @p343 :rule bool-double-not-elim :args (@t212)) % 0.94/1.18 (step @p344 :rule refl :args (@t218)) % 0.94/1.18 (step @p345 :rule nary_cong :premises (@p344 @p343) :args ((or @t218 (not @t217)))) % 0.94/1.18 (step @p346 :rule cnf_or_neg :args (@t218 0)) % 0.94/1.18 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 0.94/1.18 (step @p348 :rule reordering :premises (@p347) :args ((or @t212 @t218))) % 0.94/1.18 (step @p349 :rule cnf_or_neg :args (@t218 1)) % 0.94/1.18 (step @p350 :rule cnf_equiv_neg2 :args (@t216)) % 0.94/1.18 (step @p351 :rule bool-double-not-elim :args (@t140)) % 0.94/1.18 (step @p352 :rule nary_cong :premises (@p235 @p351) :args ((or @t146 (not @t141)))) % 0.94/1.18 (step @p353 :rule cnf_or_neg :args (@t146 2)) % 0.94/1.18 (step @p354 :rule eq_resolve :premises (@p353 @p352)) % 0.94/1.18 (step @p355 :rule reordering :premises (@p354) :args ((or @t140 @t146))) % 0.94/1.18 (step @p356 :rule chain_m_resolution :premises (@p355 @p233) :args (@t140 @t160 @t161)) % 0.94/1.18 (step @p357 :rule instantiate :premises (@p356) :args ((@list @t129 @t211 @t213))) % 0.94/1.18 (step @p358 :rule cnf_or_pos :args (@t220)) % 0.94/1.18 (step @p359 :rule reordering :premises (@p358) :args ((or @t217 @t214 @t219 (not @t220)))) % 0.94/1.18 (step @p360 :rule chain_m_resolution :premises (@p359 @p357 @p350) :args ((or @t217 @t216 @t219) (@list false true) (@list @t220 @t214))) % 0.94/1.18 (step @p361 :rule bool-double-not-elim :args (@t142)) % 0.94/1.18 (step @p362 :rule nary_cong :premises (@p235 @p361) :args ((or @t146 (not @t143)))) % 0.94/1.18 (step @p363 :rule cnf_or_neg :args (@t146 1)) % 0.94/1.18 (step @p364 :rule eq_resolve :premises (@p363 @p362)) % 0.94/1.18 (step @p365 :rule reordering :premises (@p364) :args ((or @t142 @t146))) % 0.94/1.18 (step @p366 :rule chain_m_resolution :premises (@p365 @p233) :args (@t142 @t160 @t161)) % 0.94/1.18 (step @p367 :rule instantiate :premises (@p366) :args ((@list @t129 @t211))) % 0.94/1.18 (step @p368 :rule cnf_or_pos :args (@t222)) % 0.94/1.18 (step @p369 :rule reordering :premises (@p368) :args ((or @t217 @t221 (not @t222)))) % 0.94/1.18 (step @p370 :rule cnf_equiv_neg1 :args (@t216)) % 0.94/1.18 (step @p371 :rule reordering :premises (@p370) :args ((or @t215 @t214 @t216))) % 0.94/1.18 (step @p372 :rule instantiate :premises (@p356) :args ((@list @t211 @t129 @t213))) % 0.94/1.18 (step @p373 :rule cnf_or_pos :args (@t225)) % 0.94/1.18 (step @p374 :rule reordering :premises (@p373) :args ((or @t215 @t223 @t224 (not @t225)))) % 0.94/1.18 (step @p375 :rule chain_m_resolution :premises (@p374 @p372 @p371 @p369 @p367 @p360 @p349 @p348) :args (@t218 (@list false false false false true true false) (@list @t225 @t214 @t221 @t222 @t215 @t216 @t212))) % 0.94/1.18 (step @p376 :rule refl :args (@t226)) % 0.94/1.18 (step @p377 :rule bool-double-not-elim :args (@t170)) % 0.94/1.18 (step @p378 :rule nary_cong :premises (@p377 @p376) :args ((or (not @t171) @t226))) % 0.94/1.18 (assume-push @p403 @t171) % 0.94/1.18 (step @p380 :rule skolemize :premises (@p403)) % 0.94/1.18 (step-pop @p404 :rule scope :premises (@p380)) % 0.94/1.18 (step @p381 :rule process_scope :premises (@p404) :args (@t226)) % 0.94/1.18 (step @p383 :rule implies_elim :premises (@p381)) % 0.94/1.18 (step @p384 :rule eq_resolve :premises (@p383 @p378)) % 0.94/1.18 (step @p385 :rule chain_m_resolution :premises (@p384 @p375) :args (@t170 @t192 (@list @t218))) % 0.94/1.18 (step @p386 :rule cnf_or_pos :args (@t191)) % 0.94/1.18 (step @p387 :rule reordering :premises (@p386) :args ((or @t190 @t171 @t164 (not @t191)))) % 0.94/1.18 (step @p388 :rule chain_m_resolution :premises (@p387 @p385 @p342 @p300) :args (@t190 (@list false false false) (@list @t170 @t163 @t191))) % 0.94/1.18 (assume-push @p405 @t144) % 0.94/1.18 (step @p390 :rule instantiate :premises (@p240) :args ((@list @t129))) % 0.94/1.18 (step-pop @p406 :rule scope :premises (@p390)) % 0.94/1.18 (step @p391 :rule process_scope :premises (@p406) :args (@t165)) % 0.94/1.18 (step @p393 :rule implies_elim :premises (@p391)) % 0.94/1.18 (step @p394 false :rule chain_m_resolution :premises (@p393 @p388 @p240) :args (false (@list true false) (@list @t165 @t144))) % 0.94/1.18 ) % 0.94/1.18 % SZS output end Proof % 0.94/1.18 % cvc5 exiting %------------------------------------------------------------------------------