%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS132+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:28:59 AM UTC 2026 % Result : Theorem 0.41s 0.62s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS132+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 05:27:59 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.62 % SZS status Theorem % 0.41/0.62 % SZS output start Proof % 0.41/0.62 ( % 0.41/0.62 (declare-sort $$unsorted 0) % 0.41/0.62 (declare-const tptp.cnotB (-> $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.rq (-> $$unsorted $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.cNothing (-> $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.cnotAorB (-> $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.cB (-> $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.rp (-> $$unsorted $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.cA (-> $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.cnotA (-> $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.rs (-> $$unsorted $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.cAorB (-> $$unsorted Bool)) % 0.41/0.62 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.41/0.62 (define @t1 () (@var "X" $$unsorted)) % 0.41/0.62 (define @t2 () (not (tptp.cowlNothing @t1))) % 0.41/0.62 (define @t3 () (tptp.cowlThing @t1)) % 0.41/0.62 (define @t4 () (@list @t1)) % 0.41/0.62 (define @t5 () (forall @t4 (and @t3 @t2))) % 0.41/0.62 (define @t6 () (forall @t4 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.41/0.62 (define @t7 () (@var "Y" $$unsorted)) % 0.41/0.62 (define @t8 () (tptp.cowlThing @t7)) % 0.41/0.62 (define @t9 () (tptp.rq @t1 @t7)) % 0.41/0.62 (define @t10 () (and @t9 @t8)) % 0.41/0.62 (define @t11 () (@list @t7)) % 0.41/0.62 (define @t12 () (exists @t11 @t10)) % 0.41/0.62 (define @t13 () (tptp.cA @t1)) % 0.41/0.62 (define @t14 () (= @t13 @t12)) % 0.41/0.62 (define @t15 () (forall @t4 @t14)) % 0.41/0.62 (define @t16 () (tptp.rs @t1 @t7)) % 0.41/0.62 (define @t17 () (and @t16 @t8)) % 0.41/0.62 (define @t18 () (exists @t11 @t17)) % 0.41/0.62 (define @t19 () (tptp.cAorB @t1)) % 0.41/0.62 (define @t20 () (= @t19 @t18)) % 0.41/0.62 (define @t21 () (forall @t4 @t20)) % 0.41/0.62 (define @t22 () (tptp.rr @t1 @t7)) % 0.41/0.62 (define @t23 () (and @t22 @t8)) % 0.41/0.62 (define @t24 () (exists @t11 @t23)) % 0.41/0.62 (define @t25 () (tptp.cB @t1)) % 0.41/0.62 (define @t26 () (= @t25 @t24)) % 0.41/0.62 (define @t27 () (forall @t4 @t26)) % 0.41/0.62 (define @t28 () (@var "Y0" $$unsorted)) % 0.41/0.62 (define @t29 () (tptp.rp @t1 @t28)) % 0.41/0.62 (define @t30 () (@list @t28)) % 0.41/0.62 (define @t31 () (exists @t30 @t29)) % 0.41/0.62 (define @t32 () (tptp.cNothing @t1)) % 0.41/0.62 (define @t33 () (=> @t32 @t31)) % 0.41/0.62 (define @t34 () (forall @t4 @t33)) % 0.41/0.62 (define @t35 () (tptp.rp @t1 @t7)) % 0.41/0.62 (define @t36 () (exists @t11 @t35)) % 0.41/0.62 (define @t37 () (not @t36)) % 0.41/0.62 (define @t38 () (=> @t32 @t37)) % 0.41/0.62 (define @t39 () (forall @t4 @t38)) % 0.41/0.62 (define @t40 () (tptp.cNothing @t7)) % 0.41/0.62 (define @t41 () (forall @t11 (=> @t9 @t40))) % 0.41/0.62 (define @t42 () (tptp.cnotA @t1)) % 0.41/0.62 (define @t43 () (= @t42 @t41)) % 0.41/0.62 (define @t44 () (forall @t4 @t43)) % 0.41/0.62 (define @t45 () (forall @t11 (=> @t16 @t40))) % 0.41/0.62 (define @t46 () (tptp.cnotAorB @t1)) % 0.41/0.62 (define @t47 () (= @t46 @t45)) % 0.41/0.62 (define @t48 () (forall @t4 @t47)) % 0.41/0.62 (define @t49 () (tptp.cnotB @t1)) % 0.41/0.62 (define @t50 () (forall @t11 (=> @t22 @t40))) % 0.41/0.62 (define @t51 () (= @t49 @t50)) % 0.41/0.62 (define @t52 () (forall @t4 @t51)) % 0.41/0.62 (define @t53 () (forall @t4 (= @t19 (or @t25 @t13)))) % 0.41/0.62 (define @t54 () (and @t5 @t6 @t53)) % 0.41/0.62 (define @t55 () (not @t54)) % 0.41/0.62 (define @t56 () (not (forall @t30 (not @t29)))) % 0.41/0.62 (define @t57 () (not @t8)) % 0.41/0.62 (define @t58 () (@quantifiers_skolemize @t53 0)) % 0.41/0.62 (define @t59 () (not (tptp.rr @t58 @t7))) % 0.41/0.62 (define @t60 () (forall @t11 (or @t59 @t57))) % 0.41/0.62 (define @t61 () (@quantifiers_skolemize @t60 0)) % 0.41/0.62 (define @t62 () (@list @t61)) % 0.41/0.62 (define @t63 () (@list @t58)) % 0.41/0.62 (define @t64 () (not (tptp.rs @t58 @t7))) % 0.41/0.62 (define @t65 () (forall @t11 (or @t64 @t40))) % 0.41/0.62 (define @t66 () (tptp.cnotAorB @t58)) % 0.41/0.62 (define @t67 () (= @t66 @t65)) % 0.41/0.62 (define @t68 () (not @t67)) % 0.41/0.62 (define @t69 () (not @t66)) % 0.41/0.62 (define @t70 () (@quantifiers_skolemize @t65 0)) % 0.41/0.62 (define @t71 () (tptp.rs @t58 @t70)) % 0.41/0.62 (define @t72 () (not @t71)) % 0.41/0.62 (define @t73 () (or @t72 (tptp.cNothing @t70))) % 0.41/0.62 (define @t74 () (not @t73)) % 0.41/0.62 (define @t75 () (not @t65)) % 0.41/0.62 (define @t76 () (tptp.cnotA @t58)) % 0.41/0.62 (define @t77 () (tptp.cnotB @t58)) % 0.41/0.62 (define @t78 () (and @t77 @t76)) % 0.41/0.62 (define @t79 () (= @t66 @t78)) % 0.41/0.62 (define @t80 () (not @t79)) % 0.41/0.62 (define @t81 () (not @t78)) % 0.41/0.62 (define @t82 () (forall @t4 @t2)) % 0.41/0.62 (define @t83 () (@list @t1)) % 0.41/0.62 (define @t84 () (@var "BOUND_VARIABLE_7498" $$unsorted)) % 0.41/0.62 (define @t85 () (forall @t4 @t3)) % 0.41/0.62 (define @t86 () (@var "BOUND_VARIABLE_7493" $$unsorted)) % 0.41/0.62 (define @t87 () (and @t85 @t82)) % 0.41/0.62 (define @t88 () (@list @t70)) % 0.41/0.62 (define @t89 () (tptp.cowlThing @t70)) % 0.41/0.62 (define @t90 () (not @t89)) % 0.41/0.62 (define @t91 () (or @t72 @t90)) % 0.41/0.62 (define @t92 () (forall @t11 (or @t64 @t57))) % 0.41/0.62 (define @t93 () (forall @t11 (not @t17))) % 0.41/0.62 (define @t94 () (not @t93)) % 0.41/0.62 (define @t95 () (tptp.cAorB @t58)) % 0.41/0.62 (define @t96 () (not @t92)) % 0.41/0.62 (define @t97 () (= @t95 @t96)) % 0.41/0.62 (define @t98 () (not @t97)) % 0.41/0.62 (define @t99 () (not @t96)) % 0.41/0.62 (define @t100 () (forall (@list @t84) (not (tptp.cowlNothing @t84)))) % 0.41/0.62 (define @t101 () (forall (@list @t86) (tptp.cowlThing @t86))) % 0.41/0.62 (define @t102 () (not @t53)) % 0.41/0.62 (define @t103 () (tptp.cA @t58)) % 0.41/0.62 (define @t104 () (tptp.cB @t58)) % 0.41/0.62 (define @t105 () (or @t104 @t103)) % 0.41/0.62 (define @t106 () (= @t95 @t105)) % 0.41/0.62 (define @t107 () (forall @t11 (not @t23))) % 0.41/0.62 (define @t108 () (not @t107)) % 0.41/0.62 (define @t109 () (not @t60)) % 0.41/0.62 (define @t110 () (= @t104 @t109)) % 0.41/0.62 (define @t111 () (not @t110)) % 0.41/0.62 (define @t112 () (not @t109)) % 0.41/0.62 (define @t113 () (forall @t11 (not @t10))) % 0.41/0.62 (define @t114 () (not @t113)) % 0.41/0.62 (define @t115 () (not (tptp.rq @t58 @t7))) % 0.41/0.62 (define @t116 () (forall @t11 (or @t115 @t57))) % 0.41/0.62 (define @t117 () (not @t116)) % 0.41/0.62 (define @t118 () (= @t103 @t117)) % 0.41/0.62 (define @t119 () (not @t118)) % 0.41/0.62 (define @t120 () (not @t117)) % 0.41/0.62 (define @t121 () (forall @t11 (or @t59 @t40))) % 0.41/0.62 (define @t122 () (@quantifiers_skolemize @t121 0)) % 0.41/0.62 (define @t123 () (@list @t122)) % 0.41/0.62 (define @t124 () (tptp.cowlThing @t122)) % 0.41/0.62 (define @t125 () (not @t124)) % 0.41/0.62 (define @t126 () (tptp.rr @t58 @t122)) % 0.41/0.62 (define @t127 () (not @t126)) % 0.41/0.62 (define @t128 () (or @t127 @t125)) % 0.41/0.62 (define @t129 () (forall @t11 (or @t115 @t40))) % 0.41/0.62 (define @t130 () (@quantifiers_skolemize @t129 0)) % 0.41/0.62 (define @t131 () (@list @t130)) % 0.41/0.62 (define @t132 () (tptp.cowlThing @t130)) % 0.41/0.62 (define @t133 () (not @t132)) % 0.41/0.62 (define @t134 () (tptp.rq @t58 @t130)) % 0.41/0.62 (define @t135 () (not @t134)) % 0.41/0.62 (define @t136 () (or @t135 @t133)) % 0.41/0.62 (define @t137 () (or @t127 (tptp.cNothing @t122))) % 0.41/0.62 (define @t138 () (or @t135 (tptp.cNothing @t130))) % 0.41/0.62 (define @t139 () (not @t137)) % 0.41/0.62 (define @t140 () (not @t121)) % 0.41/0.62 (define @t141 () (not @t138)) % 0.41/0.62 (define @t142 () (not @t129)) % 0.41/0.62 (define @t143 () (= @t77 @t121)) % 0.41/0.62 (define @t144 () (not @t143)) % 0.41/0.62 (define @t145 () (= @t76 @t129)) % 0.41/0.62 (define @t146 () (not @t145)) % 0.41/0.62 (define @t147 () (not @t77)) % 0.41/0.62 (define @t148 () (not @t76)) % 0.41/0.62 (define @t149 () (@list false false)) % 0.41/0.62 (define @t150 () (@list false)) % 0.41/0.62 (define @t151 () (@list @t78)) % 0.41/0.62 (define @t152 () (tptp.cNothing @t61)) % 0.41/0.62 (define @t153 () (tptp.rr @t58 @t61)) % 0.41/0.62 (define @t154 () (not @t153)) % 0.41/0.62 (define @t155 () (or @t154 @t152)) % 0.41/0.62 (define @t156 () (@quantifiers_skolemize @t92 0)) % 0.41/0.62 (define @t157 () (@list @t156)) % 0.41/0.62 (define @t158 () (tptp.cNothing @t156)) % 0.41/0.62 (define @t159 () (tptp.rs @t58 @t156)) % 0.41/0.62 (define @t160 () (not @t159)) % 0.41/0.62 (define @t161 () (or @t160 @t158)) % 0.41/0.62 (define @t162 () (forall @t30 (not (tptp.rp @t156 @t28)))) % 0.41/0.62 (define @t163 () (not @t162)) % 0.41/0.62 (define @t164 () (not @t158)) % 0.41/0.62 (define @t165 () (or @t164 @t163)) % 0.41/0.62 (define @t166 () (@var "BOUND_VARIABLE_7554" $$unsorted)) % 0.41/0.62 (define @t167 () (not (tptp.rp @t1 @t166))) % 0.41/0.62 (define @t168 () (not @t32)) % 0.41/0.62 (define @t169 () (or @t168 @t167)) % 0.41/0.62 (define @t170 () (@list @t166)) % 0.41/0.62 (define @t171 () (forall @t170 @t169)) % 0.41/0.62 (define @t172 () (forall @t170 @t167)) % 0.41/0.62 (define @t173 () (or @t168 @t172)) % 0.41/0.62 (define @t174 () (forall @t11 (not @t35))) % 0.41/0.62 (define @t175 () (@quantifiers_skolemize @t162 0)) % 0.41/0.62 (define @t176 () (tptp.rp @t156 @t175)) % 0.41/0.62 (define @t177 () (not @t176)) % 0.41/0.62 (define @t178 () (or @t164 @t177)) % 0.41/0.62 (define @t179 () (not @t177)) % 0.41/0.62 (define @t180 () (@list true false true false)) % 0.41/0.62 (define @t181 () (@list true false)) % 0.41/0.62 (define @t182 () (or @t160 (not (tptp.cowlThing @t156)))) % 0.41/0.62 (define @t183 () (@list true)) % 0.41/0.62 (define @t184 () (not @t182)) % 0.41/0.62 (define @t185 () (not @t95)) % 0.41/0.62 (define @t186 () (@list true true)) % 0.41/0.62 (define @t187 () (@quantifiers_skolemize @t116 0)) % 0.41/0.62 (define @t188 () (@list @t187)) % 0.41/0.62 (define @t189 () (tptp.cNothing @t187)) % 0.41/0.62 (define @t190 () (tptp.rq @t58 @t187)) % 0.41/0.62 (define @t191 () (not @t190)) % 0.41/0.62 (define @t192 () (or @t191 @t189)) % 0.41/0.62 (define @t193 () (forall @t30 (not (tptp.rp @t187 @t28)))) % 0.41/0.62 (define @t194 () (not @t193)) % 0.41/0.62 (define @t195 () (not @t189)) % 0.41/0.62 (define @t196 () (or @t195 @t194)) % 0.41/0.62 (define @t197 () (@quantifiers_skolemize @t193 0)) % 0.41/0.62 (define @t198 () (tptp.rp @t187 @t197)) % 0.41/0.62 (define @t199 () (not @t198)) % 0.41/0.62 (define @t200 () (or @t195 @t199)) % 0.41/0.62 (define @t201 () (not @t199)) % 0.41/0.62 (define @t202 () (or @t191 (not (tptp.cowlThing @t187)))) % 0.41/0.62 (define @t203 () (not @t202)) % 0.41/0.62 (define @t204 () (not @t103)) % 0.41/0.62 (define @t205 () (or @t154 (not (tptp.cowlThing @t61)))) % 0.41/0.62 (define @t206 () (not @t205)) % 0.41/0.62 (define @t207 () (forall @t30 (not (tptp.rp @t61 @t28)))) % 0.41/0.62 (define @t208 () (not @t207)) % 0.41/0.62 (define @t209 () (not @t152)) % 0.41/0.62 (define @t210 () (or @t209 @t208)) % 0.41/0.62 (define @t211 () (@quantifiers_skolemize @t207 0)) % 0.41/0.62 (define @t212 () (tptp.rp @t61 @t211)) % 0.41/0.62 (define @t213 () (not @t212)) % 0.41/0.62 (define @t214 () (or @t209 @t213)) % 0.41/0.62 (define @t215 () (not @t213)) % 0.41/0.62 (assume @p1 @t5) % 0.41/0.62 (assume @p2 @t6) % 0.41/0.62 (assume @p3 @t15) % 0.41/0.62 (assume @p4 @t21) % 0.41/0.62 (assume @p5 @t27) % 0.41/0.62 (assume @p6 @t34) % 0.41/0.62 (assume @p7 @t39) % 0.41/0.62 (assume @p8 @t44) % 0.41/0.62 (assume @p9 @t48) % 0.41/0.62 (assume @p10 (forall @t4 (= @t46 (and @t49 @t42)))) % 0.41/0.62 (assume @p11 @t52) % 0.41/0.62 (assume @p12 @t55) % 0.41/0.62 (assume @p13 true) % 0.41/0.62 (step @p14 :rule bool-impl-elim :args (@t32 @t56)) % 0.41/0.62 (step @p15 :rule cong :premises (@p14) :args ((forall @t4 (=> @t32 @t56)))) % 0.41/0.62 (step @p16 :rule exists-elim :args ((= @t31 @t56))) % 0.41/0.62 (step @p17 :rule refl :args (@t32)) % 0.41/0.62 (step @p18 :rule cong :premises (@p17 @p16) :args (@t33)) % 0.41/0.62 (step @p19 :rule cong :premises (@p18) :args (@t34)) % 0.41/0.62 (step @p20 :rule trans :premises (@p19 @p15)) % 0.41/0.62 (step @p21 :rule eq_resolve :premises (@p6 @p20)) % 0.41/0.62 (step @p22 :rule instantiate :premises (@p21) :args (@t62)) % 0.41/0.62 (step @p23 :rule bool-impl-elim :args (@t22 @t40)) % 0.41/0.62 (step @p24 :rule cong :premises (@p23) :args (@t50)) % 0.41/0.62 (step @p25 :rule refl :args (@t49)) % 0.41/0.62 (step @p26 :rule cong :premises (@p25 @p24) :args (@t51)) % 0.41/0.62 (step @p27 :rule cong :premises (@p26) :args (@t52)) % 0.41/0.62 (step @p28 :rule eq_resolve :premises (@p11 @p27)) % 0.41/0.62 (step @p29 :rule instantiate :premises (@p28) :args (@t63)) % 0.41/0.62 (step @p30 :rule instantiate :premises (@p10) :args (@t63)) % 0.41/0.62 (step @p31 :rule bool-impl-elim :args (@t16 @t40)) % 0.41/0.62 (step @p32 :rule cong :premises (@p31) :args (@t45)) % 0.41/0.62 (step @p33 :rule refl :args (@t46)) % 0.41/0.62 (step @p34 :rule cong :premises (@p33 @p32) :args (@t47)) % 0.41/0.62 (step @p35 :rule cong :premises (@p34) :args (@t48)) % 0.41/0.62 (step @p36 :rule eq_resolve :premises (@p9 @p35)) % 0.41/0.62 (step @p37 :rule instantiate :premises (@p36) :args (@t63)) % 0.41/0.62 (step @p38 :rule cnf_equiv_pos1 :args (@t67)) % 0.41/0.62 (step @p39 :rule reordering :premises (@p38) :args ((or @t65 @t69 @t68))) % 0.41/0.62 (step @p40 :rule refl :args (@t74)) % 0.41/0.62 (step @p41 :rule bool-double-not-elim :args (@t65)) % 0.41/0.62 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t75) @t74))) % 0.41/0.62 (assume-push @p387 @t75) % 0.41/0.62 (step @p44 :rule skolemize :premises (@p387)) % 0.41/0.62 (step-pop @p388 :rule scope :premises (@p44)) % 0.41/0.62 (step @p45 :rule process_scope :premises (@p388) :args (@t74)) % 0.41/0.62 (step @p47 :rule implies_elim :premises (@p45)) % 0.41/0.62 (step @p48 :rule eq_resolve :premises (@p47 @p42)) % 0.41/0.62 (step @p49 :rule cnf_equiv_pos2 :args (@t79)) % 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@p81) :args (@t185 @t149 (@list @t92 @t97))) % 0.41/0.62 (step @p284 :rule cnf_equiv_neg1 :args (@t106)) % 0.41/0.62 (step @p285 :rule reordering :premises (@p284) :args ((or @t95 @t105 @t106))) % 0.41/0.62 (step @p286 :rule chain_m_resolution :premises (@p285 @p283 @p100) :args (@t105 @t186 (@list @t95 @t106))) % 0.41/0.62 (step @p287 :rule cnf_and_pos :args (@t78 1)) % 0.41/0.62 (step @p288 :rule reordering :premises (@p287) :args ((or @t76 @t81))) % 0.41/0.62 (step @p289 :rule chain_m_resolution :premises (@p288 @p203) :args (@t76 @t150 @t151)) % 0.41/0.62 (step @p290 :rule cnf_equiv_pos1 :args (@t145)) % 0.41/0.62 (step @p291 :rule reordering :premises (@p290) :args ((or @t129 @t148 @t146))) % 0.41/0.62 (step @p292 :rule chain_m_resolution :premises (@p291 @p289 @p192) :args (@t129 @t149 (@list @t76 @t145))) % 0.41/0.62 (assume-push @p407 @t129) % 0.41/0.62 (step @p294 :rule instantiate :premises (@p407) :args (@t188)) % 0.41/0.62 (step-pop @p408 :rule scope :premises (@p294)) % 0.41/0.62 (step @p295 :rule process_scope :premises (@p408) :args (@t192)) % 0.41/0.62 (step @p297 :rule implies_elim :premises (@p295)) % 0.41/0.62 (step @p298 :rule chain_m_resolution :premises (@p297 @p292) :args (@t192 @t150 (@list @t129))) % 0.41/0.62 (step @p299 :rule instantiate :premises (@p21) :args (@t188)) % 0.41/0.62 (step @p300 :rule cnf_or_pos :args (@t196)) % 0.41/0.62 (step @p301 :rule reordering :premises (@p300) :args ((or @t195 @t194 (not @t196)))) % 0.41/0.62 (step @p302 :rule instantiate :premises (@p244) :args ((@list @t187 @t197))) % 0.41/0.62 (step @p303 :rule cnf_or_pos :args (@t200)) % 0.41/0.62 (step @p304 :rule reordering :premises (@p303) :args ((or @t195 @t199 (not @t200)))) % 0.41/0.62 (step @p305 :rule refl :args (@t198)) % 0.41/0.62 (step @p306 :rule bool-double-not-elim :args (@t193)) % 0.41/0.62 (step @p307 :rule nary_cong :premises (@p306 @p305) :args ((or (not @t194) @t198))) % 0.41/0.62 (step @p308 :rule bool-double-not-elim :args (@t198)) % 0.41/0.62 (step @p309 :rule refl :args (@t194)) % 0.41/0.62 (step @p310 :rule cong :premises (@p309 @p308) :args ((=> @t194 @t201))) % 0.41/0.62 (assume-push @p409 @t194) % 0.41/0.62 (step @p312 :rule skolemize :premises (@p409)) % 0.41/0.62 (step-pop @p410 :rule scope :premises (@p312)) % 0.41/0.62 (step @p313 :rule process_scope :premises (@p410) :args (@t201)) % 0.41/0.62 (step @p315 :rule eq_resolve :premises (@p313 @p310)) % 0.41/0.62 (step @p316 :rule implies_elim :premises (@p315)) % 0.41/0.62 (step @p317 :rule eq_resolve :premises (@p316 @p307)) % 0.41/0.62 (step @p318 :rule chain_m_resolution :premises (@p317 @p304 @p302 @p301 @p299) :args (@t195 @t180 (@list @t198 @t200 @t193 @t196))) % 0.41/0.62 (step @p319 :rule cnf_or_pos :args (@t192)) % 0.41/0.62 (step @p320 :rule reordering :premises (@p319) :args ((or @t191 @t189 (not @t192)))) % 0.41/0.62 (step @p321 :rule chain_m_resolution :premises (@p320 @p318 @p298) :args (@t191 @t181 (@list @t189 @t192))) % 0.41/0.62 (step @p322 :rule bool-double-not-elim :args (@t190)) % 0.41/0.62 (step @p323 :rule refl :args (@t202)) % 0.41/0.62 (step @p324 :rule nary_cong :premises (@p323 @p322) :args ((or @t202 (not @t191)))) % 0.41/0.62 (step @p325 :rule cnf_or_neg :args (@t202 0)) % 0.41/0.62 (step @p326 :rule eq_resolve :premises (@p325 @p324)) % 0.41/0.62 (step @p327 :rule reordering :premises (@p326) :args ((or @t190 @t202))) % 0.41/0.62 (step @p328 :rule chain_m_resolution :premises (@p327 @p321) :args (@t202 @t183 (@list @t190))) % 0.41/0.62 (step @p329 :rule refl :args (@t203)) % 0.41/0.62 (step @p330 :rule nary_cong :premises (@p131 @p329) :args ((or @t120 @t203))) % 0.41/0.62 (assume-push @p411 @t117) % 0.41/0.62 (step @p332 :rule skolemize :premises (@p411)) % 0.41/0.62 (step-pop @p412 :rule scope :premises (@p332)) % 0.41/0.62 (step @p333 :rule process_scope :premises (@p412) :args (@t203)) % 0.41/0.62 (step @p335 :rule implies_elim :premises (@p333)) % 0.41/0.62 (step @p336 :rule eq_resolve :premises (@p335 @p330)) % 0.41/0.62 (step @p337 :rule chain_m_resolution :premises (@p336 @p328) :args (@t116 @t150 (@list @t202))) % 0.41/0.62 (step @p338 :rule cnf_equiv_pos1 :args (@t118)) % 0.41/0.62 (step @p339 :rule reordering :premises (@p338) :args ((or @t204 @t117 @t119))) % 0.41/0.62 (step @p340 :rule chain_m_resolution :premises (@p339 @p337 @p130) :args (@t204 @t149 (@list @t116 @t118))) % 0.41/0.62 (step @p341 :rule cnf_or_pos :args (@t105)) % 0.41/0.62 (step @p342 :rule reordering :premises (@p341) :args ((or @t104 @t103 (not @t105)))) % 0.41/0.62 (step @p343 :rule chain_m_resolution :premises (@p342 @p340 @p286) :args (@t104 @t181 (@list @t103 @t105))) % 0.41/0.62 (step @p344 :rule cnf_equiv_pos1 :args (@t110)) % 0.41/0.62 (step @p345 :rule reordering :premises (@p344) :args ((or (not @t104) @t109 @t111))) % 0.41/0.62 (step @p346 :rule chain_m_resolution :premises (@p345 @p343 @p113) :args (@t109 @t149 (@list @t104 @t110))) % 0.41/0.62 (step @p347 :rule refl :args (@t206)) % 0.41/0.62 (step @p348 :rule nary_cong :premises (@p114 @p347) :args ((or @t112 @t206))) % 0.41/0.62 (assume-push @p413 @t109) % 0.41/0.62 (step @p350 :rule skolemize :premises (@p413)) % 0.41/0.62 (step-pop @p414 :rule scope :premises (@p350)) % 0.41/0.62 (step @p351 :rule process_scope :premises (@p414) :args (@t206)) % 0.41/0.62 (step @p353 :rule implies_elim :premises (@p351)) % 0.41/0.62 (step @p354 :rule eq_resolve :premises (@p353 @p348)) % 0.41/0.62 (step @p355 :rule chain_m_resolution :premises (@p354 @p346) :args (@t206 @t183 (@list @t60))) % 0.41/0.62 (step @p356 :rule bool-double-not-elim :args (@t153)) % 0.41/0.62 (step @p357 :rule refl :args (@t205)) % 0.41/0.62 (step @p358 :rule nary_cong :premises (@p357 @p356) :args ((or @t205 (not @t154)))) % 0.41/0.62 (step @p359 :rule cnf_or_neg :args (@t205 0)) % 0.41/0.62 (step @p360 :rule eq_resolve :premises (@p359 @p358)) % 0.41/0.62 (step @p361 :rule reordering :premises (@p360) :args ((or @t153 @t205))) % 0.41/0.62 (step @p362 :rule chain_m_resolution :premises (@p361 @p355) :args (@t153 @t183 (@list @t205))) % 0.41/0.62 (step @p363 :rule cnf_or_pos :args (@t155)) % 0.41/0.62 (step @p364 :rule reordering :premises (@p363) :args ((or @t154 @t152 (not @t155)))) % 0.41/0.62 (step @p365 :rule chain_m_resolution :premises (@p364 @p362 @p215) :args (@t152 @t149 (@list @t153 @t155))) % 0.41/0.62 (step @p366 :rule cnf_or_pos :args (@t210)) % 0.41/0.62 (step @p367 :rule reordering :premises (@p366) :args ((or @t209 @t208 (not @t210)))) % 0.41/0.62 (step @p368 :rule chain_m_resolution :premises (@p367 @p365 @p22) :args (@t208 @t149 (@list @t152 @t210))) % 0.41/0.62 (step @p369 :rule instantiate :premises (@p244) :args ((@list @t61 @t211))) % 0.41/0.62 (step @p370 :rule cnf_or_pos :args (@t214)) % 0.41/0.62 (step @p371 :rule reordering :premises (@p370) :args ((or @t209 @t213 (not @t214)))) % 0.41/0.62 (step @p372 :rule chain_m_resolution :premises (@p371 @p365 @p369) :args (@t213 @t149 (@list @t152 @t214))) % 0.41/0.62 (step @p373 :rule refl :args (@t212)) % 0.41/0.62 (step @p374 :rule bool-double-not-elim :args (@t207)) % 0.41/0.62 (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or (not @t208) @t212))) % 0.41/0.62 (step @p376 :rule bool-double-not-elim :args (@t212)) % 0.41/0.62 (step @p377 :rule refl :args (@t208)) % 0.41/0.62 (step @p378 :rule cong :premises (@p377 @p376) :args ((=> @t208 @t215))) % 0.41/0.62 (assume-push @p415 @t208) % 0.41/0.62 (step @p380 :rule skolemize :premises (@p415)) % 0.41/0.62 (step-pop @p416 :rule scope :premises (@p380)) % 0.41/0.62 (step @p381 :rule process_scope :premises (@p416) :args (@t215)) % 0.41/0.62 (step @p383 :rule eq_resolve :premises (@p381 @p378)) % 0.41/0.62 (step @p384 :rule implies_elim :premises (@p383)) % 0.41/0.62 (step @p385 :rule eq_resolve :premises (@p384 @p375)) % 0.41/0.62 (step @p386 false :rule chain_m_resolution :premises (@p385 @p372 @p368) :args (false @t186 (@list @t212 @t207))) % 0.41/0.62 ) % 0.41/0.62 % SZS output end Proof % 0.41/0.62 % cvc5 exiting %------------------------------------------------------------------------------