%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS082+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:28:53 AM UTC 2026 % Result : Unsatisfiable 0.40s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS082+1 : TPTP v9.2.1. Released v3.1.0. % 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 : n011.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 : Tue Jun 2 05:27:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.34/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.57 % SZS status Unsatisfiable % 0.40/0.57 % SZS output start Proof % 0.40/0.60 ( % 0.40/0.60 (declare-sort $$unsorted 0) % 0.40/0.60 (declare-const tptp.i2003_11_14_17_19_28752 $$unsorted) % 0.40/0.60 (declare-const tptp.rp (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.rs (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.ca (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.rinvS (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.rinvP (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (define @t1 () (@var "X" $$unsorted)) % 0.40/0.60 (define @t2 () (@list @t1)) % 0.40/0.60 (define @t3 () (@var "Z" $$unsorted)) % 0.40/0.60 (define @t4 () (tptp.cowlThing @t3)) % 0.40/0.60 (define @t5 () (@var "Y" $$unsorted)) % 0.40/0.60 (define @t6 () (tptp.rr @t5 @t3)) % 0.40/0.60 (define @t7 () (and @t6 @t4)) % 0.40/0.60 (define @t8 () (@list @t3)) % 0.40/0.60 (define @t9 () (exists @t8 @t7)) % 0.40/0.60 (define @t10 () (@var "W" $$unsorted)) % 0.40/0.60 (define @t11 () (tptp.cc @t10)) % 0.40/0.60 (define @t12 () (tptp.rr @t3 @t10)) % 0.40/0.60 (define @t13 () (@list @t10)) % 0.40/0.60 (define @t14 () (forall @t13 (=> @t12 @t11))) % 0.40/0.60 (define @t15 () (tptp.rp @t5 @t3)) % 0.40/0.60 (define @t16 () (=> @t15 @t14)) % 0.40/0.60 (define @t17 () (forall @t8 @t16)) % 0.40/0.60 (define @t18 () (tptp.cowlThing @t10)) % 0.40/0.60 (define @t19 () (tptp.rp @t3 @t10)) % 0.40/0.60 (define @t20 () (and @t19 @t18)) % 0.40/0.60 (define @t21 () (exists @t13 @t20)) % 0.40/0.60 (define @t22 () (=> @t15 @t21)) % 0.40/0.60 (define @t23 () (forall @t8 @t22)) % 0.40/0.60 (define @t24 () (and @t12 @t18)) % 0.40/0.60 (define @t25 () (exists @t13 @t24)) % 0.40/0.60 (define @t26 () (=> @t15 @t25)) % 0.40/0.60 (define @t27 () (forall @t8 @t26)) % 0.40/0.60 (define @t28 () (tptp.cc @t3)) % 0.40/0.60 (define @t29 () (forall @t8 (=> @t6 @t28))) % 0.40/0.60 (define @t30 () (and @t15 @t4)) % 0.40/0.60 (define @t31 () (exists @t8 @t30)) % 0.40/0.60 (define @t32 () (tptp.rs @t1 @t5)) % 0.40/0.60 (define @t33 () (and @t32 @t31 @t29 @t27 @t23 @t17 @t9)) % 0.40/0.60 (define @t34 () (@list @t5)) % 0.40/0.60 (define @t35 () (exists @t34 @t33)) % 0.40/0.60 (define @t36 () (tptp.cUnsatisfiable @t1)) % 0.40/0.60 (define @t37 () (=> @t36 @t35)) % 0.40/0.60 (define @t38 () (forall @t2 @t37)) % 0.40/0.60 (define @t39 () (tptp.ca @t1)) % 0.40/0.60 (define @t40 () (forall @t2 (=> @t36 @t39))) % 0.40/0.60 (define @t41 () (not (tptp.ca @t10))) % 0.40/0.60 (define @t42 () (tptp.rinvS @t3 @t10)) % 0.40/0.60 (define @t43 () (forall @t13 (=> @t42 @t41))) % 0.40/0.60 (define @t44 () (tptp.rinvP @t5 @t3)) % 0.40/0.60 (define @t45 () (=> @t44 @t43)) % 0.40/0.60 (define @t46 () (forall @t8 @t45)) % 0.40/0.60 (define @t47 () (tptp.rinvR @t1 @t5)) % 0.40/0.60 (define @t48 () (=> @t47 @t46)) % 0.40/0.60 (define @t49 () (forall @t34 @t48)) % 0.40/0.60 (define @t50 () (tptp.cc @t1)) % 0.40/0.60 (define @t51 () (= @t50 @t49)) % 0.40/0.60 (define @t52 () (forall @t2 @t51)) % 0.40/0.60 (define @t53 () (@list @t1 @t5)) % 0.40/0.60 (define @t54 () (forall @t53 (= (tptp.rinvP @t1 @t5) (tptp.rp @t5 @t1)))) % 0.40/0.60 (define @t55 () (forall @t53 (= @t47 (tptp.rr @t5 @t1)))) % 0.40/0.60 (define @t56 () (forall @t53 (= (tptp.rinvS @t1 @t5) (tptp.rs @t5 @t1)))) % 0.40/0.60 (define @t57 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_28752)) % 0.40/0.60 (define @t58 () (@var "BOUND_VARIABLE_7647" $$unsorted)) % 0.40/0.60 (define @t59 () (not (tptp.ca @t58))) % 0.40/0.60 (define @t60 () (@var "BOUND_VARIABLE_7645" $$unsorted)) % 0.40/0.60 (define @t61 () (not (tptp.rinvS @t60 @t58))) % 0.40/0.60 (define @t62 () (not (tptp.rinvP @t5 @t60))) % 0.40/0.60 (define @t63 () (not @t47)) % 0.40/0.60 (define @t64 () (or @t62 @t61 @t59)) % 0.40/0.60 (define @t65 () (or @t63 @t64)) % 0.40/0.60 (define @t66 () (@list @t5 @t60 @t58)) % 0.40/0.60 (define @t67 () (forall @t66 @t65)) % 0.40/0.60 (define @t68 () (@list @t60 @t58)) % 0.40/0.60 (define @t69 () (forall @t68 @t65)) % 0.40/0.60 (define @t70 () (forall @t68 @t64)) % 0.40/0.60 (define @t71 () (@var "BOUND_VARIABLE_7628" $$unsorted)) % 0.40/0.60 (define @t72 () (or @t63 @t70)) % 0.40/0.60 (define @t73 () (not (tptp.ca @t71))) % 0.40/0.60 (define @t74 () (not (tptp.rinvS @t3 @t71))) % 0.40/0.60 (define @t75 () (not @t44)) % 0.40/0.60 (define @t76 () (or @t75 @t74 @t73)) % 0.40/0.60 (define @t77 () (@list @t3 @t71)) % 0.40/0.60 (define @t78 () (forall @t77 @t76)) % 0.40/0.60 (define @t79 () (or @t74 @t73)) % 0.40/0.60 (define @t80 () (or @t75 @t79)) % 0.40/0.60 (define @t81 () (forall @t77 @t80)) % 0.40/0.60 (define @t82 () (@list @t71)) % 0.40/0.60 (define @t83 () (forall @t82 @t80)) % 0.40/0.60 (define @t84 () (forall @t82 @t79)) % 0.40/0.60 (define @t85 () (@list @t10)) % 0.40/0.60 (define @t86 () (or @t75 @t84)) % 0.40/0.60 (define @t87 () (forall @t13 (or (not @t42) @t41))) % 0.40/0.60 (define @t88 () (not @t18)) % 0.40/0.60 (define @t89 () (@var "BOUND_VARIABLE_7598" $$unsorted)) % 0.40/0.60 (define @t90 () (not (tptp.cowlThing @t89))) % 0.40/0.60 (define @t91 () (not (tptp.rr @t5 @t89))) % 0.40/0.60 (define @t92 () (@var "BOUND_VARIABLE_7591" $$unsorted)) % 0.40/0.60 (define @t93 () (not (tptp.cowlThing @t92))) % 0.40/0.60 (define @t94 () (not (tptp.rp @t5 @t92))) % 0.40/0.60 (define @t95 () (@var "BOUND_VARIABLE_7562" $$unsorted)) % 0.40/0.60 (define @t96 () (tptp.cc @t95)) % 0.40/0.60 (define @t97 () (not (tptp.rr @t3 @t95))) % 0.40/0.60 (define @t98 () (not @t15)) % 0.40/0.60 (define @t99 () (or @t98 @t97 @t96)) % 0.40/0.60 (define @t100 () (@list @t3 @t95)) % 0.40/0.60 (define @t101 () (forall @t100 @t99)) % 0.40/0.60 (define @t102 () (not @t101)) % 0.40/0.60 (define @t103 () (not (forall @t13 (or (not @t19) @t88)))) % 0.40/0.60 (define @t104 () (forall @t8 (or @t98 @t103))) % 0.40/0.60 (define @t105 () (not @t104)) % 0.40/0.60 (define @t106 () (not @t12)) % 0.40/0.60 (define @t107 () (not (forall @t13 (or @t106 @t88)))) % 0.40/0.60 (define @t108 () (forall @t8 (or @t98 @t107))) % 0.40/0.60 (define @t109 () (not @t108)) % 0.40/0.60 (define @t110 () (not @t6)) % 0.40/0.60 (define @t111 () (forall @t8 (or @t110 @t28))) % 0.40/0.60 (define @t112 () (not @t111)) % 0.40/0.60 (define @t113 () (@list @t5 @t92 @t89)) % 0.40/0.60 (define @t114 () (forall @t113 (or (not (tptp.rs tptp.i2003_11_14_17_19_28752 @t5)) @t112 @t109 @t105 @t102 @t94 @t93 @t91 @t90))) % 0.40/0.60 (define @t115 () (@quantifiers_skolemize @t114 1)) % 0.40/0.60 (define @t116 () (forall @t13 (or (not (tptp.rr @t115 @t10)) @t88))) % 0.40/0.60 (define @t117 () (@quantifiers_skolemize @t116 0)) % 0.40/0.60 (define @t118 () (not @t32)) % 0.40/0.60 (define @t119 () (or @t118 @t112 @t109 @t105 @t102 @t94 @t93 @t91 @t90)) % 0.40/0.60 (define @t120 () (not (forall @t113 @t119))) % 0.40/0.60 (define @t121 () (or @t91 @t90)) % 0.40/0.60 (define @t122 () (or @t94 @t93)) % 0.40/0.60 (define @t123 () (or @t118 @t122 @t112 @t109 @t105 @t102 @t121)) % 0.40/0.60 (define @t124 () (forall @t113 @t123)) % 0.40/0.60 (define @t125 () (forall (@list @t92 @t89) @t123)) % 0.40/0.60 (define @t126 () (forall (@list @t89) @t121)) % 0.40/0.60 (define @t127 () (@list @t3)) % 0.40/0.60 (define @t128 () (forall (@list @t92) @t122)) % 0.40/0.60 (define @t129 () (or @t118 @t128 @t112 @t109 @t105 @t102 @t126)) % 0.40/0.60 (define @t130 () (not @t4)) % 0.40/0.60 (define @t131 () (forall @t8 (or @t110 @t130))) % 0.40/0.60 (define @t132 () (forall @t8 (or @t98 @t130))) % 0.40/0.60 (define @t133 () (not @t131)) % 0.40/0.60 (define @t134 () (not @t133)) % 0.40/0.60 (define @t135 () (not @t132)) % 0.40/0.60 (define @t136 () (not @t135)) % 0.40/0.60 (define @t137 () (or @t118 @t136 @t112 @t109 @t105 @t102 @t134)) % 0.40/0.60 (define @t138 () (and @t32 @t135 @t111 @t108 @t104 @t101 @t133)) % 0.40/0.60 (define @t139 () (forall @t34 (not @t138))) % 0.40/0.60 (define @t140 () (not @t139)) % 0.40/0.60 (define @t141 () (forall @t8 (not @t7))) % 0.40/0.60 (define @t142 () (not @t141)) % 0.40/0.60 (define @t143 () (or @t97 @t96)) % 0.40/0.60 (define @t144 () (or @t98 @t143)) % 0.40/0.60 (define @t145 () (forall @t100 @t144)) % 0.40/0.60 (define @t146 () (@list @t95)) % 0.40/0.60 (define @t147 () (forall @t146 @t144)) % 0.40/0.60 (define @t148 () (forall @t146 @t143)) % 0.40/0.60 (define @t149 () (or @t98 @t148)) % 0.40/0.60 (define @t150 () (forall @t13 (or @t106 @t11))) % 0.40/0.60 (define @t151 () (forall @t13 (not @t20))) % 0.40/0.60 (define @t152 () (not @t151)) % 0.40/0.60 (define @t153 () (forall @t13 (not @t24))) % 0.40/0.60 (define @t154 () (not @t153)) % 0.40/0.60 (define @t155 () (forall @t8 (not @t30))) % 0.40/0.60 (define @t156 () (not @t155)) % 0.40/0.60 (define @t157 () (@list tptp.i2003_11_14_17_19_28752)) % 0.40/0.60 (define @t158 () (not @t114)) % 0.40/0.60 (define @t159 () (not @t57)) % 0.40/0.60 (define @t160 () (or @t159 @t158)) % 0.40/0.60 (define @t161 () (@list false false)) % 0.40/0.60 (define @t162 () (@quantifiers_skolemize @t114 0)) % 0.40/0.60 (define @t163 () (not (tptp.rp @t162 @t3))) % 0.40/0.60 (define @t164 () (forall @t100 (or @t163 @t97 @t96))) % 0.40/0.60 (define @t165 () (@quantifiers_skolemize @t114 2)) % 0.40/0.60 (define @t166 () (tptp.rp @t162 @t115)) % 0.40/0.60 (define @t167 () (not @t166)) % 0.40/0.60 (define @t168 () (not @t164)) % 0.40/0.60 (define @t169 () (forall @t8 (or @t163 @t107))) % 0.40/0.60 (define @t170 () (not @t169)) % 0.40/0.60 (define @t171 () (tptp.rs tptp.i2003_11_14_17_19_28752 @t162)) % 0.40/0.60 (define @t172 () (not @t171)) % 0.40/0.60 (define @t173 () (or @t172 (not (forall @t8 (or (not (tptp.rr @t162 @t3)) @t28))) @t170 (not (forall @t8 (or @t163 @t103))) @t168 @t167 (not (tptp.cowlThing @t115)) (not (tptp.rr @t162 @t165)) (not (tptp.cowlThing @t165)))) % 0.40/0.60 (define @t174 () (@list true)) % 0.40/0.60 (define @t175 () (@list @t173)) % 0.40/0.60 (define @t176 () (not @t116)) % 0.40/0.60 (define @t177 () (or @t167 @t176)) % 0.40/0.60 (define @t178 () (tptp.rr @t115 @t117)) % 0.40/0.60 (define @t179 () (not @t178)) % 0.40/0.60 (define @t180 () (or @t179 (not (tptp.cowlThing @t117)))) % 0.40/0.60 (define @t181 () (tptp.cc @t117)) % 0.40/0.60 (define @t182 () (or @t167 @t179 @t181)) % 0.40/0.60 (define @t183 () (forall @t66 (or (not (tptp.rinvR @t117 @t5)) @t62 @t61 @t59))) % 0.40/0.60 (define @t184 () (= @t181 @t183)) % 0.40/0.60 (define @t185 () (tptp.rinvR @t117 @t115)) % 0.40/0.60 (define @t186 () (= @t185 @t178)) % 0.40/0.60 (define @t187 () (= @t178 @t185)) % 0.40/0.60 (define @t188 () (@list false)) % 0.40/0.60 (define @t189 () (tptp.rinvS @t162 tptp.i2003_11_14_17_19_28752)) % 0.40/0.60 (define @t190 () (= @t189 @t171)) % 0.40/0.60 (define @t191 () (= @t171 @t189)) % 0.40/0.60 (define @t192 () (tptp.rinvP @t115 @t162)) % 0.40/0.60 (define @t193 () (= @t192 @t166)) % 0.40/0.60 (define @t194 () (= @t166 @t192)) % 0.40/0.60 (define @t195 () (tptp.ca tptp.i2003_11_14_17_19_28752)) % 0.40/0.60 (define @t196 () (or @t159 @t195)) % 0.40/0.60 (define @t197 () (not @t195)) % 0.40/0.60 (define @t198 () (not @t189)) % 0.40/0.60 (define @t199 () (not @t192)) % 0.40/0.60 (define @t200 () (not @t185)) % 0.40/0.60 (define @t201 () (or @t200 @t199 @t198 @t197)) % 0.40/0.60 (define @t202 () (not @t201)) % 0.40/0.60 (assume @p1 (forall @t2 (and (tptp.cowlThing @t1) (not (tptp.cowlNothing @t1))))) % 0.40/0.60 (assume @p2 (forall @t2 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.40/0.60 (assume @p3 @t38) % 0.40/0.60 (assume @p4 @t40) % 0.40/0.60 (assume @p5 @t52) % 0.40/0.60 (assume @p6 @t54) % 0.40/0.60 (assume @p7 @t55) % 0.40/0.60 (assume @p8 @t56) % 0.40/0.60 (assume @p9 (forall (@list @t1 @t5 @t3) (=> (and (tptp.rp @t1 @t5) @t15) (tptp.rp @t1 @t3)))) % 0.40/0.60 (assume @p10 @t57) % 0.40/0.60 (step @p11 :rule aci_norm :args ((= @t65 (or @t63 @t62 @t61 @t59)))) % 0.40/0.60 (step @p12 :rule cong :premises (@p11) :args (@t67)) % 0.40/0.60 (step @p13 :rule quant-merge-prenex :args ((= (forall @t34 @t69) @t67))) % 0.40/0.60 (step @p14 :rule alpha_equiv :args (@t70 (@list @t60 @t58) (@list @t3 @t71))) % 0.40/0.60 (step @p15 :rule refl :args (@t63)) % 0.40/0.60 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t72)) % 0.40/0.60 (step @p17 :rule quant-miniscope-or :args ((= @t69 @t72))) % 0.40/0.60 (step @p18 :rule trans :premises (@p17 @p16)) % 0.40/0.60 (step @p19 :rule symm :premises (@p18)) % 0.40/0.60 (step @p20 :rule cong :premises (@p19) :args ((forall @t34 (or @t63 @t78)))) % 0.40/0.60 (step @p21 :rule trans :premises (@p20 @p13)) % 0.40/0.60 (step @p22 :rule trans :premises (@p21 @p12)) % 0.40/0.60 (step @p23 :rule bool-impl-elim :args (@t47 @t78)) % 0.40/0.60 (step @p24 :rule cong :premises (@p23) :args ((forall @t34 (=> @t47 @t78)))) % 0.40/0.60 (step @p25 :rule trans :premises (@p24 @p22)) % 0.40/0.60 (step @p26 :rule aci_norm :args ((= @t80 @t76))) % 0.40/0.60 (step @p27 :rule cong :premises (@p26) :args (@t81)) % 0.40/0.60 (step @p28 :rule quant-merge-prenex :args ((= (forall @t8 @t83) @t81))) % 0.40/0.60 (step @p29 :rule alpha_equiv :args (@t84 (@list @t71) @t85)) % 0.40/0.60 (step @p30 :rule refl :args (@t75)) % 0.40/0.60 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t86)) % 0.40/0.60 (step @p32 :rule quant-miniscope-or :args ((= @t83 @t86))) % 0.40/0.60 (step @p33 :rule trans :premises (@p32 @p31)) % 0.40/0.60 (step @p34 :rule symm :premises (@p33)) % 0.40/0.60 (step @p35 :rule cong :premises (@p34) :args ((forall @t8 (or @t75 @t87)))) % 0.40/0.60 (step @p36 :rule trans :premises (@p35 @p28)) % 0.40/0.60 (step @p37 :rule trans :premises (@p36 @p27)) % 0.40/0.60 (step @p38 :rule bool-impl-elim :args (@t44 @t87)) % 0.40/0.60 (step @p39 :rule cong :premises (@p38) :args ((forall @t8 (=> @t44 @t87)))) % 0.40/0.60 (step @p40 :rule trans :premises (@p39 @p37)) % 0.40/0.60 (step @p41 :rule bool-impl-elim :args (@t42 @t41)) % 0.40/0.60 (step @p42 :rule cong :premises (@p41) :args (@t43)) % 0.40/0.60 (step @p43 :rule refl :args (@t44)) % 0.40/0.60 (step @p44 :rule cong :premises (@p43 @p42) :args (@t45)) % 0.40/0.60 (step @p45 :rule cong :premises (@p44) :args (@t46)) % 0.40/0.60 (step @p46 :rule trans :premises (@p45 @p40)) % 0.40/0.60 (step @p47 :rule refl :args (@t47)) % 0.40/0.60 (step @p48 :rule cong :premises (@p47 @p46) :args (@t48)) % 0.40/0.60 (step @p49 :rule cong :premises (@p48) :args (@t49)) % 0.40/0.60 (step @p50 :rule trans :premises (@p49 @p25)) % 0.40/0.60 (step @p51 :rule refl :args (@t50)) % 0.40/0.60 (step @p52 :rule cong :premises (@p51 @p50) :args (@t51)) % 0.40/0.60 (step @p53 :rule cong :premises (@p52) :args (@t52)) % 0.40/0.60 (step @p54 :rule eq_resolve :premises (@p5 @p53)) % 0.40/0.60 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t117))) % 0.40/0.60 (step @p56 :rule bool-impl-elim :args (@t36 @t120)) % 0.40/0.60 (step 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0.40/0.60 (step @p140 :rule cong :premises (@p139) :args ((forall @t8 (=> @t15 @t107)))) % 0.40/0.60 (step @p141 :rule bool-and-de-morgan :args (@t12 @t18 true)) % 0.40/0.60 (step @p142 :rule cong :premises (@p141) :args (@t153)) % 0.40/0.60 (step @p143 :rule cong :premises (@p142) :args (@t154)) % 0.40/0.60 (step @p144 :rule exists-elim :args ((= @t25 @t154))) % 0.40/0.60 (step @p145 :rule trans :premises (@p144 @p143)) % 0.40/0.60 (step @p146 :rule cong :premises (@p125 @p145) :args (@t26)) % 0.40/0.60 (step @p147 :rule cong :premises (@p146) :args (@t27)) % 0.40/0.60 (step @p148 :rule trans :premises (@p147 @p140)) % 0.40/0.60 (step @p149 :rule bool-impl-elim :args (@t6 @t28)) % 0.40/0.60 (step @p150 :rule cong :premises (@p149) :args (@t29)) % 0.40/0.60 (step @p151 :rule bool-and-de-morgan :args (@t15 @t4 true)) % 0.40/0.60 (step @p152 :rule cong :premises (@p151) :args (@t155)) % 0.40/0.60 (step @p153 :rule cong :premises (@p152) :args (@t156)) % 0.40/0.60 (step @p154 :rule 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:args (@t158 @t161 (@list @t57 @t160))) % 0.40/0.60 (step @p169 :rule skolemize :premises (@p168)) % 0.40/0.60 (step @p170 :rule bool-double-not-elim :args (@t164)) % 0.40/0.60 (step @p171 :rule refl :args (@t173)) % 0.40/0.60 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t173 (not @t168)))) % 0.40/0.60 (step @p173 :rule cnf_or_neg :args (@t173 4)) % 0.40/0.60 (step @p174 :rule eq_resolve :premises (@p173 @p172)) % 0.40/0.60 (step @p175 :rule reordering :premises (@p174) :args ((or @t164 @t173))) % 0.40/0.60 (step @p176 :rule chain_m_resolution :premises (@p175 @p169) :args (@t164 @t174 @t175)) % 0.40/0.60 (step @p177 :rule instantiate :premises (@p176) :args ((@list @t115 @t117))) % 0.40/0.60 (step @p178 :rule bool-double-not-elim :args (@t169)) % 0.40/0.60 (step @p179 :rule nary_cong :premises (@p171 @p178) :args ((or @t173 (not @t170)))) % 0.40/0.60 (step @p180 :rule cnf_or_neg :args (@t173 2)) % 0.40/0.60 (step @p181 :rule eq_resolve :premises (@p180 @p179)) % 0.40/0.60 (step @p182 :rule reordering :premises (@p181) :args ((or @t169 @t173))) % 0.40/0.60 (step @p183 :rule chain_m_resolution :premises (@p182 @p169) :args (@t169 @t174 @t175)) % 0.40/0.60 (step @p184 :rule instantiate :premises (@p183) :args ((@list @t115))) % 0.40/0.60 (step @p185 :rule bool-double-not-elim :args (@t166)) % 0.40/0.60 (step @p186 :rule nary_cong :premises (@p171 @p185) :args ((or @t173 (not @t167)))) % 0.40/0.60 (step @p187 :rule cnf_or_neg :args (@t173 5)) % 0.40/0.60 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 0.40/0.60 (step @p189 :rule reordering :premises (@p188) :args ((or @t166 @t173))) % 0.40/0.60 (step @p190 :rule chain_m_resolution :premises (@p189 @p169) :args (@t166 @t174 @t175)) % 0.40/0.60 (step @p191 :rule cnf_or_pos :args (@t177)) % 0.40/0.60 (step @p192 :rule reordering :premises (@p191) :args ((or @t167 @t176 (not @t177)))) % 0.40/0.60 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p184) :args (@t176 @t161 (@list @t166 @t177))) % 0.40/0.60 (step @p194 :rule skolemize :premises (@p193)) % 0.40/0.60 (step @p195 :rule bool-double-not-elim :args (@t178)) % 0.40/0.60 (step @p196 :rule refl :args (@t180)) % 0.40/0.60 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or @t180 (not @t179)))) % 0.40/0.60 (step @p198 :rule cnf_or_neg :args (@t180 0)) % 0.40/0.60 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 0.40/0.60 (step @p200 :rule reordering :premises (@p199) :args ((or @t178 @t180))) % 0.40/0.60 (step @p201 :rule chain_m_resolution :premises (@p200 @p194) :args (@t178 @t174 (@list @t180))) % 0.40/0.60 (step @p202 :rule cnf_or_pos :args (@t182)) % 0.40/0.60 (step @p203 :rule reordering :premises (@p202) :args ((or @t167 @t179 @t181 (not @t182)))) % 0.40/0.60 (step @p204 :rule chain_m_resolution :premises (@p203 @p190 @p201 @p177) :args (@t181 (@list false false false) (@list @t166 @t178 @t182))) % 0.40/0.60 (step @p205 :rule cnf_equiv_pos1 :args (@t184)) % 0.40/0.60 (step @p206 :rule 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:args ((or @t179 @t185 (not @t187)))) % 0.40/0.60 (step @p220 :rule chain_m_resolution :premises (@p219 @p201 @p217) :args (@t185 @t161 (@list @t178 @t187))) % 0.40/0.60 (step @p221 :rule eq-symm :args (@t189 @t171)) % 0.40/0.60 (step @p222 :rule refl :args (@t56)) % 0.40/0.60 (step @p223 :rule cong :premises (@p222 @p221) :args ((=> @t56 @t190))) % 0.40/0.60 (assume-push @p271 @t56) % 0.40/0.60 (step @p225 :rule instantiate :premises (@p8) :args ((@list @t162 tptp.i2003_11_14_17_19_28752))) % 0.40/0.60 (step-pop @p272 :rule scope :premises (@p225)) % 0.40/0.60 (step @p226 :rule process_scope :premises (@p272) :args (@t190)) % 0.40/0.60 (step @p228 :rule eq_resolve :premises (@p226 @p223)) % 0.40/0.60 (step @p229 :rule implies_elim :premises (@p228)) % 0.40/0.60 (step @p230 :rule chain_m_resolution :premises (@p229 @p8) :args (@t191 @t188 (@list @t56))) % 0.40/0.60 (step @p231 :rule bool-double-not-elim :args (@t171)) % 0.40/0.60 (step @p232 :rule nary_cong :premises (@p171 @p231) :args ((or @t173 (not @t172)))) % 0.40/0.60 (step @p233 :rule cnf_or_neg :args (@t173 0)) % 0.40/0.60 (step @p234 :rule eq_resolve :premises (@p233 @p232)) % 0.40/0.60 (step @p235 :rule reordering :premises (@p234) :args ((or @t171 @t173))) % 0.40/0.60 (step @p236 :rule chain_m_resolution :premises (@p235 @p169) :args (@t171 @t174 @t175)) % 0.40/0.60 (step @p237 :rule cnf_equiv_pos1 :args (@t191)) % 0.40/0.60 (step @p238 :rule reordering :premises (@p237) :args ((or @t172 @t189 (not @t191)))) % 0.40/0.60 (step @p239 :rule chain_m_resolution :premises (@p238 @p236 @p230) :args (@t189 @t161 (@list @t171 @t191))) % 0.40/0.60 (step @p240 :rule eq-symm :args (@t192 @t166)) % 0.40/0.60 (step @p241 :rule refl :args (@t54)) % 0.40/0.60 (step @p242 :rule cong :premises (@p241 @p240) :args ((=> @t54 @t193))) % 0.40/0.60 (assume-push @p273 @t54) % 0.40/0.60 (step @p244 :rule instantiate :premises (@p6) :args ((@list @t115 @t162))) % 0.40/0.60 (step-pop @p274 :rule scope :premises (@p244)) % 0.40/0.60 (step @p245 :rule process_scope :premises (@p274) :args (@t193)) % 0.40/0.60 (step @p247 :rule eq_resolve :premises (@p245 @p242)) % 0.40/0.60 (step @p248 :rule implies_elim :premises (@p247)) % 0.40/0.60 (step @p249 :rule chain_m_resolution :premises (@p248 @p6) :args (@t194 @t188 (@list @t54))) % 0.40/0.60 (step @p250 :rule cnf_equiv_pos1 :args (@t194)) % 0.40/0.60 (step @p251 :rule reordering :premises (@p250) :args ((or @t167 @t192 (not @t194)))) % 0.40/0.60 (step @p252 :rule chain_m_resolution :premises (@p251 @p190 @p249) :args (@t192 @t161 (@list @t166 @t194))) % 0.40/0.60 (step @p253 :rule bool-impl-elim :args (@t36 @t39)) % 0.40/0.60 (step @p254 :rule cong :premises (@p253) :args (@t40)) % 0.40/0.60 (step @p255 :rule eq_resolve :premises (@p4 @p254)) % 0.40/0.60 (step @p256 :rule instantiate :premises (@p255) :args (@t157)) % 0.40/0.60 (step @p257 :rule cnf_or_pos :args (@t196)) % 0.40/0.60 (step @p258 :rule reordering :premises (@p257) :args ((or @t159 @t195 (not @t196)))) % 0.40/0.60 (step @p259 :rule chain_m_resolution :premises (@p258 @p10 @p256) :args (@t195 @t161 (@list @t57 @t196))) % 0.40/0.60 (step @p260 :rule cnf_or_pos :args (@t201)) % 0.40/0.60 (step @p261 :rule reordering :premises (@p260) :args ((or @t197 @t199 @t198 @t200 @t202))) % 0.40/0.60 (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p252 @p239 @p220) :args (@t202 (@list false false false false) (@list @t195 @t192 @t189 @t185))) % 0.40/0.60 (assume-push @p275 @t183) % 0.40/0.60 (step @p264 :rule instantiate :premises (@p207) :args ((@list @t115 @t162 tptp.i2003_11_14_17_19_28752))) % 0.40/0.60 (step-pop @p276 :rule scope :premises (@p264)) % 0.40/0.60 (step @p265 :rule process_scope :premises (@p276) :args (@t201)) % 0.40/0.60 (step @p267 :rule implies_elim :premises (@p265)) % 0.40/0.60 (step @p268 false :rule chain_m_resolution :premises (@p267 @p262 @p207) :args (false (@list true false) (@list @t201 @t183))) % 0.40/0.60 ) % 0.40/0.60 % SZS output end Proof % 0.40/0.60 % cvc5 exiting %------------------------------------------------------------------------------