%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO500^1.005 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 09:13:00 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO500^1.005 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 00:18:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.38/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-const tptp.f0 (-> Bool Bool)) % 0.38/0.61 (declare-const tptp.f1 (-> Bool Bool)) % 0.38/0.61 (declare-const tptp.f2 (-> Bool Bool)) % 0.38/0.61 (declare-const tptp.f3 (-> Bool Bool)) % 0.38/0.61 (declare-const tptp.f4 (-> Bool Bool)) % 0.38/0.61 (declare-const tptp.x Bool) % 0.38/0.61 (define @t1 () (_ tptp.f4 tptp.x)) % 0.38/0.61 (define @t2 () (_ tptp.f4 @t1)) % 0.38/0.61 (define @t3 () (_ tptp.f4 @t2)) % 0.38/0.61 (define @t4 () (_ tptp.f3 @t3)) % 0.38/0.61 (define @t5 () (_ tptp.f2 @t4)) % 0.38/0.61 (define @t6 () (_ tptp.f2 @t5)) % 0.38/0.61 (define @t7 () (_ tptp.f2 @t6)) % 0.38/0.61 (define @t8 () (_ tptp.f1 @t7)) % 0.38/0.61 (define @t9 () (_ tptp.f0 @t8)) % 0.38/0.61 (define @t10 () (_ tptp.f0 @t9)) % 0.38/0.61 (define @t11 () (_ tptp.f3 @t1)) % 0.38/0.61 (define @t12 () (_ tptp.f3 @t11)) % 0.38/0.61 (define @t13 () (_ tptp.f3 @t12)) % 0.38/0.61 (define @t14 () (_ tptp.f2 @t13)) % 0.38/0.61 (define @t15 () (_ tptp.f1 @t14)) % 0.38/0.61 (define @t16 () (_ tptp.f1 @t15)) % 0.38/0.61 (define @t17 () (_ tptp.f1 @t16)) % 0.38/0.61 (define @t18 () (= (_ tptp.f0 @t17) (_ tptp.f0 @t10))) % 0.38/0.61 (define @t19 () (not @t18)) % 0.38/0.61 (define @t20 () (@purify @t17)) % 0.38/0.61 (define @t21 () (tptp.f0 @t20)) % 0.38/0.61 (define @t22 () (@purify @t10)) % 0.38/0.61 (define @t23 () (tptp.f0 @t22)) % 0.38/0.61 (define @t24 () (_ tptp.f0 @t22)) % 0.38/0.61 (define @t25 () (= @t10 @t22)) % 0.38/0.61 (define @t26 () (_ tptp.f0 @t20)) % 0.38/0.61 (define @t27 () (= @t17 @t20)) % 0.38/0.61 (define @t28 () (@purify @t9)) % 0.38/0.61 (define @t29 () (tptp.f0 @t28)) % 0.38/0.61 (define @t30 () (_ tptp.f0 @t28)) % 0.38/0.61 (define @t31 () (= @t9 @t28)) % 0.38/0.61 (define @t32 () (not @t22)) % 0.38/0.61 (define @t33 () (not @t20)) % 0.38/0.61 (define @t34 () (not @t23)) % 0.38/0.61 (define @t35 () (not @t21)) % 0.38/0.61 (define @t36 () (not @t35)) % 0.38/0.61 (define @t37 () (= false true)) % 0.38/0.61 (define @t38 () (and @t23 @t22 @t20 @t35)) % 0.38/0.61 (define @t39 () (@purify @t16)) % 0.38/0.61 (define @t40 () (tptp.f1 @t39)) % 0.38/0.61 (define @t41 () (_ tptp.f1 @t39)) % 0.38/0.61 (define @t42 () (= @t16 @t39)) % 0.38/0.61 (define @t43 () (@purify @t15)) % 0.38/0.61 (define @t44 () (tptp.f1 @t43)) % 0.38/0.61 (define @t45 () (_ tptp.f1 @t43)) % 0.38/0.61 (define @t46 () (= @t15 @t43)) % 0.38/0.61 (define @t47 () (not @t39)) % 0.38/0.61 (define @t48 () (@purify @t7)) % 0.38/0.61 (define @t49 () (tptp.f1 @t48)) % 0.38/0.61 (define @t50 () (not @t49)) % 0.38/0.61 (define @t51 () (not @t48)) % 0.38/0.61 (define @t52 () (not @t40)) % 0.38/0.61 (define @t53 () (not @t52)) % 0.38/0.61 (define @t54 () (= true false)) % 0.38/0.61 (define @t55 () (and @t52 @t39 @t48 @t49)) % 0.38/0.61 (define @t56 () (not @t44)) % 0.38/0.61 (define @t57 () (not @t43)) % 0.38/0.61 (define @t58 () (and @t52 @t39 @t43 @t44)) % 0.38/0.61 (define @t59 () (@purify @t6)) % 0.38/0.61 (define @t60 () (tptp.f2 @t59)) % 0.38/0.61 (define @t61 () (_ tptp.f2 @t59)) % 0.38/0.61 (define @t62 () (= @t6 @t59)) % 0.38/0.61 (define @t63 () (= @t7 @t48)) % 0.38/0.61 (define @t64 () (@purify @t14)) % 0.38/0.61 (define @t65 () (tptp.f1 @t64)) % 0.38/0.61 (define @t66 () (_ tptp.f1 @t64)) % 0.38/0.61 (define @t67 () (= @t14 @t64)) % 0.38/0.61 (define @t68 () (@purify @t5)) % 0.38/0.61 (define @t69 () (tptp.f2 @t68)) % 0.38/0.61 (define @t70 () (_ tptp.f2 @t68)) % 0.38/0.61 (define @t71 () (= @t5 @t68)) % 0.38/0.61 (define @t72 () (not @t59)) % 0.38/0.61 (define @t73 () (@purify @t13)) % 0.38/0.61 (define @t74 () (tptp.f2 @t73)) % 0.38/0.61 (define @t75 () (not @t74)) % 0.38/0.61 (define @t76 () (not @t73)) % 0.38/0.61 (define @t77 () (not @t60)) % 0.38/0.61 (define @t78 () (not @t77)) % 0.38/0.61 (define @t79 () (and @t77 @t59 @t73 @t74)) % 0.38/0.61 (define @t80 () (@purify @t12)) % 0.38/0.61 (define @t81 () (tptp.f3 @t80)) % 0.38/0.61 (define @t82 () (_ tptp.f3 @t80)) % 0.38/0.61 (define @t83 () (= @t12 @t80)) % 0.38/0.61 (define @t84 () (= @t13 @t73)) % 0.38/0.61 (define @t85 () (not @t69)) % 0.38/0.61 (define @t86 () (not @t68)) % 0.38/0.61 (define @t87 () (and @t77 @t59 @t68 @t69)) % 0.38/0.61 (define @t88 () (@purify @t4)) % 0.38/0.61 (define @t89 () (tptp.f2 @t88)) % 0.38/0.61 (define @t90 () (_ tptp.f2 @t88)) % 0.38/0.61 (define @t91 () (= @t4 @t88)) % 0.38/0.61 (define @t92 () (not @t88)) % 0.38/0.61 (define @t93 () (not @t92)) % 0.38/0.61 (define @t94 () (not @t89)) % 0.38/0.61 (define @t95 () (not @t94)) % 0.38/0.61 (define @t96 () (not @t76)) % 0.38/0.61 (define @t97 () (and @t74 @t76 @t92 @t94)) % 0.38/0.61 (define @t98 () (@purify @t3)) % 0.38/0.61 (define @t99 () (tptp.f3 @t98)) % 0.38/0.61 (define @t100 () (_ tptp.f3 @t98)) % 0.38/0.61 (define @t101 () (= @t3 @t98)) % 0.38/0.61 (define @t102 () (@purify @t11)) % 0.38/0.61 (define @t103 () (tptp.f3 @t102)) % 0.38/0.61 (define @t104 () (_ tptp.f3 @t102)) % 0.38/0.61 (define @t105 () (= @t11 @t102)) % 0.38/0.61 (define @t106 () (not @t80)) % 0.38/0.61 (define @t107 () (not @t99)) % 0.38/0.61 (define @t108 () (not @t98)) % 0.38/0.61 (define @t109 () (not @t81)) % 0.38/0.61 (define @t110 () (not @t109)) % 0.38/0.61 (define @t111 () (and @t109 @t80 @t98 @t99)) % 0.38/0.61 (define @t112 () (not @t103)) % 0.38/0.61 (define @t113 () (not @t102)) % 0.38/0.61 (define @t114 () (and @t109 @t80 @t102 @t103)) % 0.38/0.61 (define @t115 () (@purify @t2)) % 0.38/0.61 (define @t116 () (tptp.f4 @t115)) % 0.38/0.61 (define @t117 () (_ tptp.f4 @t115)) % 0.38/0.61 (define @t118 () (= @t2 @t115)) % 0.38/0.61 (define @t119 () (@purify @t1)) % 0.38/0.61 (define @t120 () (tptp.f3 @t119)) % 0.38/0.61 (define @t121 () (_ tptp.f3 @t119)) % 0.38/0.61 (define @t122 () (= @t1 @t119)) % 0.38/0.61 (define @t123 () (@purify tptp.x)) % 0.38/0.61 (define @t124 () (tptp.f4 @t123)) % 0.38/0.61 (define @t125 () (_ tptp.f4 @t123)) % 0.38/0.61 (define @t126 () (not @t119)) % 0.38/0.61 (define @t127 () (tptp.f4 @t119)) % 0.38/0.61 (define @t128 () (_ tptp.f4 @t119)) % 0.38/0.61 (define @t129 () (not @t115)) % 0.38/0.61 (define @t130 () (not @t127)) % 0.38/0.61 (define @t131 () (not @t116)) % 0.38/0.61 (define @t132 () (not @t131)) % 0.38/0.61 (define @t133 () (and @t119 @t115 @t131)) % 0.38/0.61 (define @t134 () (not @t124)) % 0.38/0.61 (define @t135 () (not @t123)) % 0.38/0.61 (define @t136 () (and @t130 @t119 @t123 @t124)) % 0.38/0.61 (define @t137 () (not @t135)) % 0.38/0.61 (define @t138 () (not @t129)) % 0.38/0.61 (define @t139 () (and @t131 @t129 @t135 @t124)) % 0.38/0.61 (define @t140 () (not @t126)) % 0.38/0.61 (define @t141 () (not @t120)) % 0.38/0.61 (define @t142 () (not @t141)) % 0.38/0.61 (define @t143 () (not @t113)) % 0.38/0.61 (define @t144 () (and @t103 @t113 @t126 @t141)) % 0.38/0.61 (define @t145 () (@list true true true true true false)) % 0.38/0.61 (define @t146 () (not @t112)) % 0.38/0.61 (define @t147 () (and @t99 @t98 @t102 @t112)) % 0.38/0.61 (define @t148 () (and @t99 @t98 @t119 @t141)) % 0.38/0.61 (define @t149 () (not @t134)) % 0.38/0.61 (define @t150 () (and @t116 @t115 @t123 @t134)) % 0.38/0.61 (define @t151 () (and @t127 @t126 @t135 @t134)) % 0.38/0.61 (define @t152 () (and @t116 @t126 @t129)) % 0.38/0.61 (define @t153 () (not @t108)) % 0.38/0.61 (define @t154 () (not @t106)) % 0.38/0.61 (define @t155 () (and @t109 @t106 @t108 @t99)) % 0.38/0.61 (define @t156 () (not @t85)) % 0.38/0.61 (define @t157 () (and @t74 @t73 @t68 @t85)) % 0.38/0.61 (define @t158 () (and @t74 @t73 @t88 @t94)) % 0.38/0.61 (define @t159 () (not @t107)) % 0.38/0.61 (define @t160 () (and @t81 @t80 @t98 @t107)) % 0.38/0.61 (define @t161 () (and @t107 @t108 @t126)) % 0.38/0.61 (define @t162 () (and @t81 @t106 @t113 @t112)) % 0.38/0.61 (define @t163 () (and @t107 @t98 @t119 @t120)) % 0.38/0.61 (define @t164 () (not @t72)) % 0.38/0.61 (define @t165 () (and @t77 @t72 @t76 @t74)) % 0.38/0.61 (define @t166 () (@list true true true)) % 0.38/0.61 (define @t167 () (not @t64)) % 0.38/0.61 (define @t168 () (not @t167)) % 0.38/0.61 (define @t169 () (not @t65)) % 0.38/0.61 (define @t170 () (not @t169)) % 0.38/0.61 (define @t171 () (not @t57)) % 0.38/0.61 (define @t172 () (and @t44 @t57 @t167 @t169)) % 0.38/0.61 (define @t173 () (_ tptp.f2 @t73)) % 0.38/0.61 (define @t174 () (not @t56)) % 0.38/0.61 (define @t175 () (and @t49 @t48 @t43 @t56)) % 0.38/0.61 (define @t176 () (and @t49 @t48 @t64 @t169)) % 0.38/0.61 (define @t177 () (not @t75)) % 0.38/0.61 (define @t178 () (and @t60 @t59 @t73 @t75)) % 0.38/0.61 (define @t179 () (and @t75 @t76 @t92 @t89)) % 0.38/0.61 (define @t180 () (not @t86)) % 0.38/0.61 (define @t181 () (and @t75 @t76 @t86 @t69)) % 0.38/0.61 (define @t182 () (@list true true true true true true false)) % 0.38/0.61 (define @t183 () (and @t60 @t72 @t86 @t85)) % 0.38/0.61 (define @t184 () (and @t75 @t73 @t88 @t89)) % 0.38/0.61 (define @t185 () (@list false true false)) % 0.38/0.61 (define @t186 () (not @t51)) % 0.38/0.61 (define @t187 () (not @t47)) % 0.38/0.61 (define @t188 () (and @t52 @t47 @t51 @t49)) % 0.38/0.61 (define @t189 () (@purify @t8)) % 0.38/0.61 (define @t190 () (_ tptp.f1 @t48)) % 0.38/0.61 (define @t191 () (= @t8 @t189)) % 0.38/0.61 (define @t192 () (not @t189)) % 0.38/0.61 (define @t193 () (tptp.f0 @t189)) % 0.38/0.61 (define @t194 () (not @t193)) % 0.38/0.61 (define @t195 () (not @t192)) % 0.38/0.61 (define @t196 () (not @t33)) % 0.38/0.61 (define @t197 () (and @t35 @t33 @t192 @t193)) % 0.38/0.61 (define @t198 () (_ tptp.f0 @t189)) % 0.38/0.61 (define @t199 () (not @t28)) % 0.38/0.61 (define @t200 () (not @t29)) % 0.38/0.61 (define @t201 () (not @t199)) % 0.38/0.61 (define @t202 () (and @t35 @t33 @t199 @t29)) % 0.38/0.61 (define @t203 () (not @t200)) % 0.38/0.61 (define @t204 () (not @t32)) % 0.38/0.61 (define @t205 () (and @t23 @t32 @t199 @t200)) % 0.38/0.61 (define @t206 () (and @t35 @t20 @t189 @t193)) % 0.38/0.61 (define @t207 () (not @t50)) % 0.38/0.61 (define @t208 () (and @t40 @t39 @t48 @t50)) % 0.38/0.61 (define @t209 () (and @t50 @t51 @t167)) % 0.38/0.61 (define @t210 () (and @t40 @t47 @t57 @t56)) % 0.38/0.61 (define @t211 () (and @t50 @t48 @t64 @t65)) % 0.38/0.61 (define @t212 () (@list true false true true false false true true)) % 0.38/0.61 (define @t213 () (@list true)) % 0.38/0.61 (define @t214 () (not @t34)) % 0.38/0.61 (define @t215 () (and @t34 @t22 @t20 @t21)) % 0.38/0.61 (define @t216 () (and @t21 @t33 @t192)) % 0.38/0.61 (define @t217 () (and @t34 @t22 @t28 @t29)) % 0.38/0.61 (define @t218 () (and @t20 @t21 @t189)) % 0.38/0.61 (define @t219 () (and @t21 @t20 @t28 @t200)) % 0.38/0.61 (define @t220 () (and @t34 @t32 @t33 @t21)) % 0.38/0.61 (assume @p1 @t19) % 0.38/0.61 (assume @p2 true) % 0.38/0.61 (step @p3 :rule eq-symm :args (@t21 @t23)) % 0.38/0.61 (step @p4 :rule refl :args (@t23)) % 0.38/0.61 (step @p5 :rule refl :args (@t24)) % 0.38/0.61 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t24 @t23))) % 0.38/0.61 (step @p7 :rule symm :premises (@p6)) % 0.38/0.61 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.38/0.61 (step @p9 :rule eq-refl :args (@t10)) % 0.38/0.61 (step @p10 :rule skolem_intro :args (@t22)) % 0.38/0.61 (step @p11 :rule refl :args (@t10)) % 0.38/0.61 (step @p12 :rule cong :premises (@p11 @p10) :args (@t25)) % 0.38/0.61 (step @p13 :rule trans :premises (@p12 @p9)) % 0.38/0.61 (step @p14 :rule true_elim :premises (@p13)) % 0.38/0.61 (step @p15 :rule refl :args (tptp.f0)) % 0.38/0.61 (step @p16 :rule ho_cong :premises (@p15 @p14)) % 0.38/0.61 (step @p17 :rule trans :premises (@p16 @p8)) % 0.38/0.61 (step @p18 :rule refl :args (@t21)) % 0.38/0.61 (step @p19 :rule refl :args (@t26)) % 0.38/0.61 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t26 @t21))) % 0.38/0.61 (step @p21 :rule symm :premises (@p20)) % 0.38/0.61 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.38/0.61 (step @p23 :rule eq-refl :args (@t17)) % 0.38/0.61 (step @p24 :rule skolem_intro :args (@t20)) % 0.38/0.61 (step @p25 :rule refl :args (@t17)) % 0.38/0.61 (step @p26 :rule cong :premises (@p25 @p24) :args (@t27)) % 0.38/0.61 (step @p27 :rule trans :premises (@p26 @p23)) % 0.38/0.61 (step @p28 :rule true_elim :premises (@p27)) % 0.38/0.61 (step @p29 :rule ho_cong :premises (@p15 @p28)) % 0.38/0.61 (step @p30 :rule trans :premises (@p29 @p22)) % 0.38/0.61 (step @p31 :rule cong :premises (@p30 @p17) :args (@t18)) % 0.38/0.61 (step @p32 :rule trans :premises (@p31 @p3)) % 0.38/0.61 (step @p33 :rule cong :premises (@p32) :args (@t19)) % 0.38/0.61 (step @p34 :rule eq_resolve :premises (@p1 @p33)) % 0.38/0.61 (step @p35 :rule not_equiv_elim2 :premises (@p34)) % 0.38/0.61 (step @p36 :rule eq-symm :args (@t29 @t22)) % 0.38/0.61 (step @p37 :rule refl :args (@t22)) % 0.38/0.61 (step @p38 :rule refl :args (@t29)) % 0.38/0.61 (step @p39 :rule refl :args (@t30)) % 0.38/0.61 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t30 @t29))) % 0.38/0.61 (step @p41 :rule symm :premises (@p40)) % 0.38/0.61 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.38/0.61 (step @p43 :rule eq-refl :args (@t9)) % 0.38/0.61 (step @p44 :rule skolem_intro :args (@t28)) % 0.38/0.61 (step @p45 :rule refl :args (@t9)) % 0.38/0.61 (step @p46 :rule cong :premises (@p45 @p44) :args (@t31)) % 0.38/0.61 (step @p47 :rule trans 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:premises (@p2024 @p2019)) % 0.38/0.62 (step @p2026 :rule true_elim :premises (@p2025)) % 0.38/0.62 (step-pop @p2859 :rule scope :premises (@p2026)) % 0.38/0.62 (step-pop @p2860 :rule scope :premises (@p2859)) % 0.38/0.62 (step-pop @p2861 :rule scope :premises (@p2860)) % 0.38/0.62 (step @p2027 :rule process_scope :premises (@p2861) :args (@t193)) % 0.38/0.62 (step @p2031 :rule and_intro :premises (@p2853 @p2854 @p2855)) % 0.38/0.62 (step @p2032 :rule modus_ponens :premises (@p2031 @p2027)) % 0.38/0.62 (step-pop @p2862 :rule scope :premises (@p2032)) % 0.38/0.62 (step-pop @p2863 :rule scope :premises (@p2862)) % 0.38/0.62 (step-pop @p2864 :rule scope :premises (@p2863)) % 0.38/0.62 (step @p2033 :rule process_scope :premises (@p2864) :args (@t193)) % 0.38/0.62 (step @p2037 :rule implies_elim :premises (@p2033)) % 0.38/0.62 (step @p2038 :rule cnf_and_neg :args (@t216)) % 0.38/0.62 (step @p2039 :rule resolution :premises (@p2038 @p2037) :args (true @t216)) % 0.38/0.62 (step @p2040 :rule eq_resolve :premises (@p2039 @p2012)) % 0.38/0.62 (step @p2041 :rule reordering :premises (@p2040) :args ((or @t20 @t189 @t193 @t35))) % 0.38/0.62 (step @p2042 :rule equiv_elim2 :premises (@p1708)) % 0.38/0.62 (step @p2043 :rule refl :args (@t199)) % 0.38/0.62 (step @p2044 :rule nary_cong :premises (@p61 @p2043 @p1712 @p1974) :args ((or @t32 @t199 @t200 @t214))) % 0.38/0.62 (assume-push @p2865 @t34) % 0.38/0.62 (assume-push @p2866 @t22) % 0.38/0.62 (assume-push @p2867 @t28) % 0.38/0.62 (assume-push @p2868 @t29) % 0.38/0.62 (step @p151 :rule evaluate :args (@t54)) % 0.38/0.62 (step @p2049 :rule false_intro :premises (@p2865)) % 0.38/0.62 (step @p2050 :rule true_intro :premises (@p2866)) % 0.38/0.62 (step @p2051 :rule symm :premises (@p2050)) % 0.38/0.62 (step @p2052 :rule true_intro :premises (@p2867)) % 0.38/0.62 (step @p2053 :rule trans :premises (@p2052 @p2051)) % 0.38/0.62 (step @p2054 :rule cong :premises (@p2053) :args (@t29)) % 0.38/0.62 (step @p2055 :rule true_intro :premises (@p2868)) % 0.38/0.62 (step @p2056 :rule symm :premises (@p2055)) % 0.38/0.62 (step @p2057 :rule trans :premises (@p2056 @p2054 @p2049)) % 0.38/0.62 (step @p2058 false :rule eq_resolve :premises (@p2057 @p151)) % 0.38/0.62 (step-pop @p2869 :rule scope :premises (@p2058)) % 0.38/0.62 (step-pop @p2870 :rule scope :premises (@p2869)) % 0.38/0.62 (step-pop @p2871 :rule scope :premises (@p2870)) % 0.38/0.62 (step-pop @p2872 :rule scope :premises (@p2871)) % 0.38/0.62 (step @p2059 :rule process_scope :premises (@p2872) :args (false)) % 0.38/0.62 (assume-push @p2873 @t22) % 0.38/0.62 (assume-push @p2874 @t28) % 0.38/0.62 (assume-push @p2875 @t29) % 0.38/0.62 (assume-push @p2876 @t34) % 0.38/0.62 (step @p2068 :rule and_intro :premises (@p2876 @p2873 @p2874 @p2875)) % 0.38/0.62 (step-pop @p2877 :rule scope :premises (@p2068)) % 0.38/0.62 (step-pop @p2878 :rule scope :premises (@p2877)) % 0.38/0.62 (step-pop @p2879 :rule scope :premises (@p2878)) % 0.38/0.62 (step-pop @p2880 :rule scope :premises (@p2879)) % 0.38/0.62 (step @p2069 :rule process_scope :premises (@p2880) :args (@t217)) % 0.38/0.62 (step @p2074 :rule implies_elim :premises (@p2069)) % 0.38/0.62 (step @p2075 :rule resolution :premises (@p2074 @p2059) :args (true @t217)) % 0.38/0.62 (step @p2076 :rule not_and :premises (@p2075)) % 0.38/0.62 (step @p2077 :rule eq_resolve :premises (@p2076 @p2044)) % 0.38/0.62 (step @p2078 :rule reordering :premises (@p2077) :args ((or @t23 @t32 @t200 @t199))) % 0.38/0.62 (step @p2079 :rule chain_m_resolution :premises (@p2078 @p1971 @p2042 @p2041 @p1973 @p1651 @p1629 @p119 @p2010 @p1973 @p1971 @p57) :args (@t32 (@list true false false false true true true true false true false) (@list @t23 @t28 @t193 @t21 @t189 @t49 @t40 @t20 @t21 @t23 @t29))) % 0.38/0.62 (assume-push @p2881 @t20) % 0.38/0.62 (assume-push @p2882 @t21) % 0.38/0.62 (assume-push @p2883 @t189) % 0.38/0.62 (assume-push @p2884 @t21) % 0.38/0.62 (assume-push @p2885 @t20) % 0.38/0.62 (assume-push @p2886 @t189) % 0.38/0.62 (step @p2086 :rule true_intro :premises (@p2882)) % 0.38/0.62 (step @p2087 :rule true_intro :premises (@p2881)) % 0.38/0.62 (step @p2088 :rule symm :premises (@p2087)) % 0.38/0.62 (step @p2089 :rule true_intro :premises (@p2883)) % 0.38/0.62 (step @p2090 :rule trans :premises (@p2089 @p2088)) % 0.38/0.62 (step @p2091 :rule cong :premises (@p2090) :args (@t193)) % 0.38/0.62 (step @p2092 :rule trans :premises (@p2091 @p2086)) % 0.38/0.62 (step @p2093 :rule true_elim :premises (@p2092)) % 0.38/0.62 (step-pop @p2887 :rule scope :premises (@p2093)) % 0.38/0.62 (step-pop @p2888 :rule scope :premises (@p2887)) % 0.38/0.62 (step-pop @p2889 :rule scope :premises (@p2888)) % 0.38/0.62 (step @p2094 :rule process_scope :premises (@p2889) :args (@t193)) % 0.38/0.62 (step @p2098 :rule and_intro :premises (@p2882 @p2881 @p2883)) % 0.38/0.62 (step @p2099 :rule modus_ponens :premises (@p2098 @p2094)) % 0.38/0.62 (step-pop @p2890 :rule scope :premises (@p2099)) % 0.38/0.62 (step-pop @p2891 :rule scope :premises (@p2890)) % 0.38/0.62 (step-pop @p2892 :rule scope :premises (@p2891)) % 0.38/0.62 (step @p2100 :rule process_scope :premises (@p2892) :args (@t193)) % 0.38/0.62 (step @p2104 :rule implies_elim :premises (@p2100)) % 0.38/0.62 (step @p2105 :rule cnf_and_neg :args (@t218)) % 0.38/0.62 (step @p2106 :rule resolution :premises (@p2105 @p2104) :args (true @t218)) % 0.38/0.62 (step @p2107 :rule reordering :premises (@p2106) :args ((or @t193 @t35 @t33 @t192))) % 0.38/0.62 (step @p2108 :rule chain_m_resolution :premises (@p1749 @p2079) :args (@t200 @t213 (@list @t22))) % 0.38/0.62 (step @p2109 :rule nary_cong :premises (@p59 @p1975 @p2043 @p1750) :args ((or @t33 @t35 @t199 @t203))) % 0.38/0.62 (assume-push @p2893 @t21) % 0.38/0.62 (assume-push @p2894 @t20) % 0.38/0.62 (assume-push @p2895 @t28) % 0.38/0.62 (assume-push @p2896 @t200) % 0.38/0.62 (step @p67 :rule evaluate :args (@t37)) % 0.38/0.62 (step @p2114 :rule true_intro :premises (@p2893)) % 0.38/0.62 (step @p2115 :rule true_intro :premises (@p2894)) % 0.38/0.62 (step @p2116 :rule symm :premises (@p2115)) % 0.38/0.62 (step @p2117 :rule true_intro :premises (@p2895)) % 0.38/0.62 (step @p2118 :rule trans :premises (@p2117 @p2116)) % 0.38/0.62 (step @p2119 :rule cong :premises (@p2118) :args (@t29)) % 0.38/0.62 (step @p2120 :rule false_intro :premises (@p2896)) % 0.38/0.62 (step @p2121 :rule symm :premises (@p2120)) % 0.38/0.62 (step @p2122 :rule trans :premises (@p2121 @p2119 @p2114)) % 0.38/0.62 (step @p2123 false :rule eq_resolve :premises (@p2122 @p67)) % 0.38/0.62 (step-pop @p2897 :rule scope :premises (@p2123)) % 0.38/0.62 (step-pop @p2898 :rule scope :premises (@p2897)) % 0.38/0.62 (step-pop @p2899 :rule scope :premises (@p2898)) % 0.38/0.62 (step-pop @p2900 :rule scope :premises (@p2899)) % 0.38/0.62 (step @p2124 :rule process_scope :premises (@p2900) :args (false)) % 0.38/0.62 (assume-push @p2901 @t20) % 0.38/0.62 (assume-push @p2902 @t21) % 0.38/0.62 (assume-push @p2903 @t28) % 0.38/0.62 (assume-push @p2904 @t200) % 0.38/0.62 (step @p2133 :rule and_intro :premises (@p2902 @p2901 @p2903 @p2904)) % 0.38/0.62 (step-pop @p2905 :rule scope :premises (@p2133)) % 0.38/0.62 (step-pop @p2906 :rule scope :premises (@p2905)) % 0.38/0.62 (step-pop @p2907 :rule scope :premises (@p2906)) % 0.38/0.62 (step-pop @p2908 :rule scope :premises (@p2907)) % 0.38/0.62 (step @p2134 :rule process_scope :premises (@p2908) :args (@t219)) % 0.38/0.62 (step @p2139 :rule implies_elim :premises (@p2134)) % 0.38/0.62 (step @p2140 :rule resolution :premises (@p2139 @p2124) :args (true @t219)) % 0.38/0.62 (step @p2141 :rule not_and :premises (@p2140)) % 0.38/0.62 (step @p2142 :rule eq_resolve :premises (@p2141 @p2109)) % 0.38/0.62 (step @p2143 :rule reordering :premises (@p2142) :args ((or @t29 @t35 @t33 @t199))) % 0.38/0.62 (step @p2144 :rule chain_m_resolution :premises (@p2143 @p2108 @p1973 @p2042 @p2107 @p1973 @p1969 @p1968 @p1788) :args (@t33 (@list true false false false false false false false) (@list @t29 @t21 @t28 @t193 @t21 @t189 @t49 @t40))) % 0.38/0.62 (step @p2145 :rule nary_cong :premises (@p1975 @p1974 @p1751 @p1653) :args ((or @t35 @t214 @t204 @t196))) % 0.38/0.62 (assume-push @p2909 @t34) % 0.38/0.62 (assume-push @p2910 @t32) % 0.38/0.62 (assume-push @p2911 @t33) % 0.38/0.62 (assume-push @p2912 @t21) % 0.38/0.62 (step @p151 :rule evaluate :args (@t54)) % 0.38/0.62 (step @p2150 :rule false_intro :premises (@p2909)) % 0.38/0.62 (step @p2151 :rule false_intro :premises (@p2910)) % 0.38/0.62 (step @p2152 :rule symm :premises (@p2151)) % 0.38/0.62 (step @p2153 :rule false_intro :premises (@p2911)) % 0.38/0.62 (step @p2154 :rule trans :premises (@p2153 @p2152)) % 0.38/0.62 (step @p2155 :rule cong :premises (@p2154) :args (@t21)) % 0.38/0.62 (step @p2156 :rule true_intro :premises (@p2912)) % 0.38/0.62 (step @p2157 :rule symm :premises (@p2156)) % 0.38/0.62 (step @p2158 :rule trans :premises (@p2157 @p2155 @p2150)) % 0.38/0.62 (step @p2159 false :rule eq_resolve :premises (@p2158 @p151)) % 0.38/0.62 (step-pop @p2913 :rule scope :premises (@p2159)) % 0.38/0.62 (step-pop @p2914 :rule scope :premises (@p2913)) % 0.38/0.62 (step-pop @p2915 :rule scope :premises (@p2914)) % 0.38/0.62 (step-pop @p2916 :rule scope :premises (@p2915)) % 0.38/0.62 (step @p2160 :rule process_scope :premises (@p2916) :args (false)) % 0.38/0.62 (assume-push @p2917 @t21) % 0.38/0.62 (assume-push @p2918 @t34) % 0.38/0.62 (assume-push @p2919 @t32) % 0.38/0.62 (assume-push @p2920 @t33) % 0.38/0.62 (step @p2169 :rule and_intro :premises (@p2918 @p2919 @p2920 @p2917)) % 0.38/0.62 (step-pop @p2921 :rule scope :premises (@p2169)) % 0.38/0.62 (step-pop @p2922 :rule scope :premises (@p2921)) % 0.38/0.62 (step-pop @p2923 :rule scope :premises (@p2922)) % 0.38/0.62 (step-pop @p2924 :rule scope :premises (@p2923)) % 0.38/0.62 (step @p2170 :rule process_scope :premises (@p2924) :args (@t220)) % 0.38/0.62 (step @p2175 :rule implies_elim :premises (@p2170)) % 0.38/0.62 (step @p2176 :rule resolution :premises (@p2175 @p2160) :args (true @t220)) % 0.38/0.62 (step @p2177 :rule not_and :premises (@p2176)) % 0.38/0.62 (step @p2178 :rule eq_resolve :premises (@p2177 @p2145)) % 0.38/0.62 (step @p2179 :rule reordering :premises (@p2178) :args ((or @t22 @t23 @t20 @t35))) % 0.38/0.62 (step @p2180 false :rule chain_m_resolution :premises (@p2179 @p2144 @p2079 @p1973 @p1971) :args (false (@list true true false true) (@list @t20 @t22 @t21 @t23))) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------