%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL674+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:30 AM UTC 2026 % Result : Theorem 0.21s 0.54s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL674+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.12/0.36 % Computer : n014.cluster.edu % 0.12/0.36 % Model : x86_64 x86_64 % 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.36 % Memory : 8046.5625MB % 0.12/0.36 % OS : Linux 6.8.0-71-generic % 0.12/0.37 % CPULimit : 300 % 0.12/0.37 % WCLimit : 300 % 0.12/0.37 % DateTime : Sat Sep 5 02:05:57 UTC 2026 % 0.12/0.37 % CPUTime : % 0.12/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.21/0.54 % SZS status Theorem % 0.21/0.54 % SZS output start Proof % 0.21/0.54 ( % 0.21/0.54 (declare-sort $$unsorted 0) % 0.21/0.54 (declare-const tptp.p2 (-> $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.p1 (-> $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.p102 (-> $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.p101 (-> $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.p100 (-> $$unsorted Bool)) % 0.21/0.54 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 0.21/0.54 (define @t1 () (@var "X" $$unsorted)) % 0.21/0.54 (define @t2 () (@list @t1)) % 0.21/0.54 (define @t3 () (@var "Z" $$unsorted)) % 0.21/0.54 (define @t4 () (@var "Y" $$unsorted)) % 0.21/0.54 (define @t5 () (tptp.r1 @t1 @t4)) % 0.21/0.54 (define @t6 () (tptp.p100 @t1)) % 0.21/0.54 (define @t7 () (tptp.p101 @t1)) % 0.21/0.54 (define @t8 () (not @t7)) % 0.21/0.54 (define @t9 () (tptp.p101 @t4)) % 0.21/0.54 (define @t10 () (not @t9)) % 0.21/0.54 (define @t11 () (tptp.p100 @t4)) % 0.21/0.54 (define @t12 () (or @t11 @t10)) % 0.21/0.54 (define @t13 () (or @t9 (not (tptp.p102 @t4)))) % 0.21/0.54 (define @t14 () (not @t11)) % 0.21/0.54 (define @t15 () (tptp.p1 @t4)) % 0.21/0.54 (define @t16 () (not @t15)) % 0.21/0.54 (define @t17 () (not @t6)) % 0.21/0.54 (define @t18 () (tptp.p1 @t1)) % 0.21/0.54 (define @t19 () (not (tptp.r1 @t4 @t1))) % 0.21/0.54 (define @t20 () (or (and (or (forall @t2 (or @t19 (not @t18) @t17)) @t15) (or (forall @t2 (or @t19 @t18 @t17)) @t16)) @t14)) % 0.21/0.54 (define @t21 () (tptp.p2 @t4)) % 0.21/0.54 (define @t22 () (not @t21)) % 0.21/0.54 (define @t23 () (tptp.p2 @t1)) % 0.21/0.54 (define @t24 () (not @t23)) % 0.21/0.54 (define @t25 () (or (and (or (forall @t2 (or @t19 @t24 @t8)) @t21) (or (forall @t2 (or @t19 @t23 @t8)) @t22)) @t10)) % 0.21/0.54 (define @t26 () (not (and @t10 @t11))) % 0.21/0.54 (define @t27 () (tptp.p102 @t1)) % 0.21/0.54 (define @t28 () (not @t27)) % 0.21/0.54 (define @t29 () (or @t19 (not (and @t23 @t28 @t7)))) % 0.21/0.54 (define @t30 () (forall @t2 @t29)) % 0.21/0.54 (define @t31 () (not @t30)) % 0.21/0.54 (define @t32 () (or @t19 (not (and @t24 @t28 @t7)))) % 0.21/0.54 (define @t33 () (forall @t2 @t32)) % 0.21/0.54 (define @t34 () (not @t33)) % 0.21/0.54 (define @t35 () (and @t34 @t31)) % 0.21/0.54 (define @t36 () (or @t35 @t26)) % 0.21/0.54 (define @t37 () (and @t36 @t25 @t20 @t13 @t12)) % 0.21/0.54 (define @t38 () (not @t5)) % 0.21/0.54 (define @t39 () (or @t38 @t37)) % 0.21/0.54 (define @t40 () (@list @t4)) % 0.21/0.54 (define @t41 () (forall @t40 @t39)) % 0.21/0.54 (define @t42 () (and @t41 @t8 @t6)) % 0.21/0.54 (define @t43 () (not @t42)) % 0.21/0.54 (define @t44 () (not (forall @t40 (or @t38 @t21)))) % 0.21/0.54 (define @t45 () (or @t44 @t43)) % 0.21/0.54 (define @t46 () (not @t45)) % 0.21/0.54 (define @t47 () (exists @t2 @t46)) % 0.21/0.54 (define @t48 () (@var "BOUND_VARIABLE_7558" $$unsorted)) % 0.21/0.54 (define @t49 () (not (tptp.p100 @t48))) % 0.21/0.54 (define @t50 () (tptp.p1 @t48)) % 0.21/0.54 (define @t51 () (not (tptp.r1 @t4 @t48))) % 0.21/0.54 (define @t52 () (or @t16 @t51 @t50 @t49)) % 0.21/0.54 (define @t53 () (@var "BOUND_VARIABLE_7548" $$unsorted)) % 0.21/0.54 (define @t54 () (not (tptp.p100 @t53))) % 0.21/0.54 (define @t55 () (not (tptp.p1 @t53))) % 0.21/0.54 (define @t56 () (not (tptp.r1 @t4 @t53))) % 0.21/0.54 (define @t57 () (or @t15 @t56 @t55 @t54)) % 0.21/0.54 (define @t58 () (or (and @t57 @t52) @t14)) % 0.21/0.54 (define @t59 () (@var "BOUND_VARIABLE_7537" $$unsorted)) % 0.21/0.54 (define @t60 () (not (tptp.p101 @t59))) % 0.21/0.54 (define @t61 () (tptp.p2 @t59)) % 0.21/0.54 (define @t62 () (not (tptp.r1 @t4 @t59))) % 0.21/0.54 (define @t63 () (or @t22 @t62 @t61 @t60)) % 0.21/0.54 (define @t64 () (@var "BOUND_VARIABLE_7527" $$unsorted)) % 0.21/0.54 (define @t65 () (not (tptp.p101 @t64))) % 0.21/0.54 (define @t66 () (not (tptp.p2 @t64))) % 0.21/0.54 (define @t67 () (not (tptp.r1 @t4 @t64))) % 0.21/0.54 (define @t68 () (or @t21 @t67 @t66 @t65)) % 0.21/0.54 (define @t69 () (or (and @t68 @t63) @t10)) % 0.21/0.54 (define @t70 () (@var "BOUND_VARIABLE_7593" $$unsorted)) % 0.21/0.54 (define @t71 () (not (tptp.p101 @t70))) % 0.21/0.54 (define @t72 () (tptp.p102 @t70)) % 0.21/0.54 (define @t73 () (not (tptp.p2 @t70))) % 0.21/0.54 (define @t74 () (@list @t70)) % 0.21/0.54 (define @t75 () (@var "BOUND_VARIABLE_7606" $$unsorted)) % 0.21/0.54 (define @t76 () (not (tptp.p101 @t75))) % 0.21/0.54 (define @t77 () (tptp.p102 @t75)) % 0.21/0.54 (define @t78 () (tptp.p2 @t75)) % 0.21/0.54 (define @t79 () (@list @t75)) % 0.21/0.54 (define @t80 () (and (or (and (not (forall @t79 (or (not (tptp.r1 @t4 @t75)) @t78 @t77 @t76))) (not (forall @t74 (or (not (tptp.r1 @t4 @t70)) @t73 @t72 @t71)))) @t9 @t14) @t69 @t58 @t13 @t12)) % 0.21/0.54 (define @t81 () (@list @t4 @t64 @t59 @t53 @t48)) % 0.21/0.54 (define @t82 () (forall @t81 (or @t38 @t80))) % 0.21/0.54 (define @t83 () (not @t82)) % 0.21/0.54 (define @t84 () (or @t44 @t83 @t7 @t17)) % 0.21/0.54 (define @t85 () (not @t8)) % 0.21/0.54 (define @t86 () (or @t83 @t85 @t17)) % 0.21/0.54 (define @t87 () (or @t44 (not (and @t82 @t8 @t6)))) % 0.21/0.54 (define @t88 () (or @t19 @t24 @t27 @t8)) % 0.21/0.54 (define @t89 () (forall @t2 @t88)) % 0.21/0.54 (define @t90 () (@list @t1)) % 0.21/0.54 (define @t91 () (not @t89)) % 0.21/0.54 (define @t92 () (or @t19 @t23 @t27 @t8)) % 0.21/0.54 (define @t93 () (forall @t2 @t92)) % 0.21/0.54 (define @t94 () (not @t93)) % 0.21/0.54 (define @t95 () (and @t94 @t91)) % 0.21/0.54 (define @t96 () (or @t95 @t9 @t14)) % 0.21/0.54 (define @t97 () (and @t96 @t69 @t58 @t13 @t12)) % 0.21/0.54 (define @t98 () (or @t38 @t97)) % 0.21/0.54 (define @t99 () (forall @t81 @t98)) % 0.21/0.54 (define @t100 () (and @t99 @t8 @t6)) % 0.21/0.54 (define @t101 () (not @t100)) % 0.21/0.54 (define @t102 () (or @t44 @t101)) % 0.21/0.54 (define @t103 () (not @t102)) % 0.21/0.54 (define @t104 () (forall @t2 (not @t103))) % 0.21/0.54 (define @t105 () (not @t104)) % 0.21/0.54 (define @t106 () (or @t51 @t50 @t49)) % 0.21/0.54 (define @t107 () (or @t106 @t16)) % 0.21/0.54 (define @t108 () (or @t56 @t55 @t54)) % 0.21/0.54 (define @t109 () (or @t108 @t15)) % 0.21/0.54 (define @t110 () (and @t109 @t107)) % 0.21/0.54 (define @t111 () (or @t110 @t14)) % 0.21/0.54 (define @t112 () (or @t62 @t61 @t60)) % 0.21/0.54 (define @t113 () (or @t112 @t22)) % 0.21/0.54 (define @t114 () (or @t67 @t66 @t65)) % 0.21/0.54 (define @t115 () (or @t114 @t21)) % 0.21/0.54 (define @t116 () (and @t115 @t113)) % 0.21/0.54 (define @t117 () (or @t116 @t10)) % 0.21/0.54 (define @t118 () (and @t96 @t117 @t111 @t13 @t12)) % 0.21/0.54 (define @t119 () (or @t38 @t118)) % 0.21/0.54 (define @t120 () (forall @t81 @t119)) % 0.21/0.54 (define @t121 () (@list @t64 @t59 @t53 @t48)) % 0.21/0.54 (define @t122 () (forall @t121 @t119)) % 0.21/0.54 (define @t123 () (forall @t121 @t12)) % 0.21/0.54 (define @t124 () (forall @t121 @t13)) % 0.21/0.54 (define @t125 () (@list @t48)) % 0.21/0.54 (define @t126 () (forall @t125 @t106)) % 0.21/0.54 (define @t127 () (or @t126 @t16)) % 0.21/0.54 (define @t128 () (forall @t125 @t107)) % 0.21/0.54 (define @t129 () (@list @t53 @t48)) % 0.21/0.54 (define @t130 () (forall @t129 @t107)) % 0.21/0.54 (define @t131 () (@list @t53)) % 0.21/0.54 (define @t132 () (forall @t131 @t108)) % 0.21/0.54 (define @t133 () (or @t132 @t15)) % 0.21/0.54 (define @t134 () (forall @t131 @t109)) % 0.21/0.54 (define @t135 () (forall @t129 @t109)) % 0.21/0.54 (define @t136 () (and @t135 @t130)) % 0.21/0.54 (define @t137 () (forall @t129 @t110)) % 0.21/0.54 (define @t138 () (or @t137 @t14)) % 0.21/0.54 (define @t139 () (forall @t129 @t111)) % 0.21/0.54 (define @t140 () (forall @t121 @t111)) % 0.21/0.54 (define @t141 () (@list @t59)) % 0.21/0.54 (define @t142 () (forall @t141 @t112)) % 0.21/0.54 (define @t143 () (or @t142 @t22)) % 0.21/0.54 (define @t144 () (forall @t141 @t113)) % 0.21/0.54 (define @t145 () (@list @t64 @t59)) % 0.21/0.54 (define @t146 () (forall @t145 @t113)) % 0.21/0.54 (define @t147 () (@list @t64)) % 0.21/0.54 (define @t148 () (forall @t147 @t114)) % 0.21/0.54 (define @t149 () (or @t148 @t21)) % 0.21/0.54 (define @t150 () (forall @t147 @t115)) % 0.21/0.54 (define @t151 () (forall @t145 @t115)) % 0.21/0.54 (define @t152 () (and @t151 @t146)) % 0.21/0.54 (define @t153 () (forall @t145 @t116)) % 0.21/0.54 (define @t154 () (or @t153 @t10)) % 0.21/0.54 (define @t155 () (forall @t145 @t117)) % 0.21/0.54 (define @t156 () (forall @t121 @t117)) % 0.21/0.54 (define @t157 () (forall @t121 @t96)) % 0.21/0.54 (define @t158 () (and @t157 @t156 @t140 @t124 @t123)) % 0.21/0.54 (define @t159 () (forall @t121 @t118)) % 0.21/0.54 (define @t160 () (or @t38 @t159)) % 0.21/0.54 (define @t161 () (or @t95 @t26)) % 0.21/0.54 (define @t162 () (and @t161 @t25 @t20 @t13 @t12)) % 0.21/0.54 (define @t163 () (or @t38 @t162)) % 0.21/0.54 (define @t164 () (not @t28)) % 0.21/0.54 (define @t165 () (or @t24 @t164 @t8)) % 0.21/0.54 (define @t166 () (or @t164 @t8)) % 0.21/0.54 (define @t167 () (not (and @t28 @t7))) % 0.21/0.54 (define @t168 () (not @t24)) % 0.21/0.54 (define @t169 () (or @t168 @t164 @t8)) % 0.21/0.54 (define @t170 () (@quantifiers_skolemize (forall @t2 @t84) 0)) % 0.21/0.54 (define @t171 () (not (tptp.r1 @t170 @t4))) % 0.21/0.54 (define @t172 () (forall @t40 (or @t171 @t21))) % 0.21/0.54 (define @t173 () (tptp.p100 @t170)) % 0.21/0.54 (define @t174 () (not @t173)) % 0.21/0.54 (define @t175 () (tptp.p101 @t170)) % 0.21/0.54 (define @t176 () (forall @t81 (or @t171 @t80))) % 0.21/0.54 (define @t177 () (not @t176)) % 0.21/0.54 (define @t178 () (not @t172)) % 0.21/0.54 (define @t179 () (or @t178 @t177 @t175 @t174)) % 0.21/0.54 (define @t180 () (@list true)) % 0.21/0.54 (define @t181 () (@list @t179)) % 0.21/0.54 (define @t182 () (not @t175)) % 0.21/0.54 (define @t183 () (tptp.p1 @t170)) % 0.21/0.54 (define @t184 () (tptp.r1 @t170 @t170)) % 0.21/0.54 (define @t185 () (not @t184)) % 0.21/0.54 (define @t186 () (not @t183)) % 0.21/0.54 (define @t187 () (tptp.p2 @t170)) % 0.21/0.54 (define @t188 () (not @t187)) % 0.21/0.54 (define @t189 () (forall @t79 (or (not (tptp.r1 @t170 @t75)) @t78 @t77 @t76))) % 0.21/0.54 (define @t190 () (not @t189)) % 0.21/0.54 (define @t191 () (and @t190 (not (forall @t74 (or (not (tptp.r1 @t170 @t70)) @t73 @t72 @t71))))) % 0.21/0.54 (define @t192 () (or @t191 @t175 @t174)) % 0.21/0.54 (define @t193 () (and @t192 (or (and (or @t187 @t185 @t188 @t182) (or @t188 @t185 @t187 @t182)) @t182) (or (and (or @t183 @t185 @t186 @t174) (or @t186 @t185 @t183 @t174)) @t174) (or @t175 (not (tptp.p102 @t170))) (or @t173 @t182))) % 0.21/0.54 (define @t194 () (or @t185 @t193)) % 0.21/0.54 (define @t195 () (@list false)) % 0.21/0.54 (define @t196 () (@quantifiers_skolemize @t189 0)) % 0.21/0.54 (define @t197 () (tptp.p2 @t196)) % 0.21/0.54 (define @t198 () (tptp.r1 @t170 @t196)) % 0.21/0.54 (define @t199 () (not @t198)) % 0.21/0.54 (define @t200 () (or @t199 @t197 (tptp.p102 @t196) (not (tptp.p101 @t196)))) % 0.21/0.54 (define @t201 () (@list @t200)) % 0.21/0.54 (define @t202 () (or @t199 @t197)) % 0.21/0.54 (define @t203 () (not @t202)) % 0.21/0.54 (assume @p1 (forall @t2 (tptp.r1 @t1 @t1))) % 0.21/0.54 (assume @p2 (forall (@list @t1 @t4 @t3) (=> (and @t5 (tptp.r1 @t4 @t3)) (tptp.r1 @t1 @t3)))) % 0.21/0.54 (assume @p3 (not (not @t47))) % 0.21/0.54 (assume @p4 true) % 0.21/0.54 (step @p5 :rule aci_norm :args ((= (or @t44 (or @t83 @t7 @t17)) @t84))) % 0.21/0.54 (step @p6 :rule refl :args (@t17)) % 0.21/0.54 (step @p7 :rule bool-double-not-elim :args (@t7)) % 0.21/0.54 (step @p8 :rule refl :args (@t83)) % 0.21/0.54 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t86)) % 0.21/0.54 (step @p10 :rule aci_norm :args ((= (or @t83 (or @t85 @t17)) @t86))) % 0.21/0.54 (step @p11 :rule trans :premises (@p10 @p9)) % 0.21/0.54 (step @p12 :rule bool-and-de-morgan :args (@t8 @t6 true)) % 0.21/0.54 (step @p13 :rule nary_cong :premises (@p8 @p12) :args ((or @t83 (not (and @t8 @t6))))) % 0.21/0.54 (step @p14 :rule bool-and-de-morgan :args (@t82 @t8 (and @t6))) % 0.21/0.54 (step @p15 :rule trans :premises (@p14 @p13)) % 0.21/0.54 (step @p16 :rule trans :premises (@p15 @p11)) % 0.21/0.54 (step @p17 :rule refl :args (@t44)) % 0.21/0.54 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t87)) % 0.21/0.54 (step @p19 :rule trans :premises (@p18 @p5)) % 0.21/0.54 (step @p20 :rule cong :premises (@p19) :args ((forall @t2 @t87))) % 0.21/0.54 (step @p21 :rule refl :args (@t6)) % 0.21/0.54 (step @p22 :rule refl :args (@t8)) % 0.21/0.54 (step @p23 :rule refl :args (@t12)) % 0.21/0.54 (step @p24 :rule refl :args (@t13)) % 0.21/0.54 (step @p25 :rule refl :args (@t58)) % 0.21/0.54 (step @p26 :rule refl :args (@t69)) % 0.21/0.54 (step @p27 :rule refl :args (@t14)) % 0.21/0.54 (step @p28 :rule refl :args (@t9)) % 0.21/0.54 (step @p29 :rule alpha_equiv :args (@t89 @t90 (@list @t70))) % 0.21/0.54 (step @p30 :rule cong :premises (@p29) :args (@t91)) % 0.21/0.54 (step @p31 :rule alpha_equiv :args (@t93 @t90 (@list @t75))) % 0.21/0.54 (step @p32 :rule cong :premises (@p31) :args (@t94)) % 0.21/0.54 (step @p33 :rule nary_cong :premises (@p32 @p30) :args (@t95)) % 0.21/0.54 (step @p34 :rule nary_cong :premises (@p33 @p28 @p27) :args (@t96)) % 0.21/0.54 (step @p35 :rule nary_cong :premises (@p34 @p26 @p25 @p24 @p23) :args (@t97)) % 0.21/0.54 (step @p36 :rule refl :args (@t38)) % 0.21/0.54 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t98)) % 0.21/0.54 (step @p38 :rule cong :premises (@p37) :args (@t99)) % 0.21/0.54 (step @p39 :rule nary_cong :premises (@p38 @p22 @p21) :args (@t100)) % 0.21/0.54 (step @p40 :rule cong :premises (@p39) :args (@t101)) % 0.21/0.54 (step @p41 :rule nary_cong :premises (@p17 @p40) :args (@t102)) % 0.21/0.54 (step @p42 :rule cong :premises (@p41) :args ((forall @t2 @t102))) % 0.21/0.54 (step @p43 :rule trans :premises (@p42 @p20)) % 0.21/0.54 (step @p44 :rule bool-double-not-elim :args (@t102)) % 0.21/0.54 (step @p45 :rule cong :premises (@p44) :args (@t104)) % 0.21/0.54 (step @p46 :rule trans :premises (@p45 @p43)) % 0.21/0.54 (step @p47 :rule cong :premises (@p46) :args (@t105)) % 0.21/0.54 (step @p48 :rule exists-elim :args ((= (exists @t2 @t103) @t105))) % 0.21/0.54 (step @p49 :rule trans :premises (@p48 @p47)) % 0.21/0.54 (step @p50 :rule refl :args (@t6)) % 0.21/0.54 (step @p51 :rule refl :args (@t8)) % 0.21/0.54 (step @p52 :rule refl :args (@t12)) % 0.21/0.54 (step @p53 :rule refl :args (@t13)) % 0.21/0.54 (step @p54 :rule refl :args (@t14)) % 0.21/0.54 (step @p55 :rule aci_norm :args ((= @t107 @t52))) % 0.21/0.54 (step @p56 :rule aci_norm :args ((= @t109 @t57))) % 0.21/0.54 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t110)) % 0.21/0.54 (step @p58 :rule nary_cong :premises (@p57 @p54) :args (@t111)) % 0.21/0.54 (step @p59 :rule refl :args (@t10)) % 0.21/0.54 (step @p60 :rule aci_norm :args ((= @t113 @t63))) % 0.21/0.54 (step @p61 :rule aci_norm :args ((= @t115 @t68))) % 0.21/0.54 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t116)) % 0.21/0.54 (step @p63 :rule nary_cong :premises (@p62 @p59) :args (@t117)) % 0.21/0.54 (step @p64 :rule refl :args (@t96)) % 0.21/0.54 (step @p65 :rule nary_cong :premises (@p64 @p63 @p58 @p53 @p52) :args (@t118)) % 0.21/0.54 (step @p66 :rule refl :args (@t38)) % 0.21/0.54 (step @p67 :rule nary_cong :premises (@p66 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:rule quant-miniscope-or :args ((= @t134 @t133))) % 0.21/0.54 (step @p83 :rule quant-unused-vars :args ((= @t135 @t134))) % 0.21/0.54 (step @p84 :rule trans :premises (@p83 @p82)) % 0.21/0.54 (step @p85 :rule trans :premises (@p84 @p81)) % 0.21/0.54 (step @p86 :rule nary_cong :premises (@p85 @p78) :args (@t136)) % 0.21/0.54 (step @p87 :rule quant-miniscope-and :args ((= @t137 @t136))) % 0.21/0.54 (step @p88 :rule trans :premises (@p87 @p86)) % 0.21/0.54 (step @p89 :rule nary_cong :premises (@p88 @p27) :args (@t138)) % 0.21/0.54 (step @p90 :rule quant-miniscope-or :args ((= @t139 @t138))) % 0.21/0.54 (step @p91 :rule quant-unused-vars :args ((= @t140 @t139))) % 0.21/0.54 (step @p92 :rule trans :premises (@p91 @p90)) % 0.21/0.54 (step @p93 :rule trans :premises (@p92 @p89)) % 0.21/0.54 (step @p94 :rule refl :args (@t10)) % 0.21/0.54 (step @p95 :rule refl :args (@t22)) % 0.21/0.54 (step @p96 :rule alpha_equiv :args (@t142 (@list @t59) @t90)) % 0.21/0.54 (step @p97 :rule nary_cong 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(step @p112 :rule nary_cong :premises (@p111 @p94) :args (@t154)) % 0.21/0.54 (step @p113 :rule quant-miniscope-or :args ((= @t155 @t154))) % 0.21/0.54 (step @p114 :rule quant-unused-vars :args ((= @t156 @t155))) % 0.21/0.54 (step @p115 :rule trans :premises (@p114 @p113)) % 0.21/0.54 (step @p116 :rule trans :premises (@p115 @p112)) % 0.21/0.54 (step @p117 :rule quant-unused-vars :args ((= @t157 @t96))) % 0.21/0.54 (step @p118 :rule nary_cong :premises (@p117 @p116 @p93 @p71 @p70) :args (@t158)) % 0.21/0.54 (step @p119 :rule quant-miniscope-and :args ((= @t159 @t158))) % 0.21/0.54 (step @p120 :rule trans :premises (@p119 @p118)) % 0.21/0.54 (step @p121 :rule nary_cong :premises (@p36 @p120) :args (@t160)) % 0.21/0.54 (step @p122 :rule quant-miniscope-or :args ((= @t122 @t160))) % 0.21/0.54 (step @p123 :rule trans :premises (@p122 @p121)) % 0.21/0.54 (step @p124 :rule symm :premises (@p123)) % 0.21/0.54 (step @p125 :rule cong :premises (@p124) :args ((forall @t40 (or @t38 (and @t96 @t25 @t20 @t13 @t12))))) % 0.21/0.54 (step @p126 :rule trans :premises (@p125 @p69)) % 0.21/0.54 (step @p127 :rule trans :premises (@p126 @p68)) % 0.21/0.54 (step @p128 :rule refl :args (@t20)) % 0.21/0.54 (step @p129 :rule refl :args (@t25)) % 0.21/0.54 (step @p130 :rule aci_norm :args ((= (or @t95 (or @t9 @t14)) @t96))) % 0.21/0.54 (step @p131 :rule bool-double-not-elim :args (@t9)) % 0.21/0.54 (step @p132 :rule nary_cong :premises (@p131 @p27) :args ((or (not @t10) @t14))) % 0.21/0.54 (step @p133 :rule bool-and-de-morgan :args (@t10 @t11 true)) % 0.21/0.54 (step @p134 :rule trans :premises (@p133 @p132)) % 0.21/0.54 (step @p135 :rule refl :args (@t95)) % 0.21/0.54 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t161)) % 0.21/0.54 (step @p137 :rule trans :premises (@p136 @p130)) % 0.21/0.54 (step @p138 :rule nary_cong :premises (@p137 @p129 @p128 @p24 @p23) :args (@t162)) % 0.21/0.54 (step @p139 :rule nary_cong :premises (@p36 @p138) :args (@t163)) % 0.21/0.54 (step @p140 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(step @p155 :rule trans :premises (@p154 @p150)) % 0.21/0.54 (step @p156 :rule refl :args (@t19)) % 0.21/0.54 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t29)) % 0.21/0.54 (step @p158 :rule trans :premises (@p157 @p145)) % 0.21/0.54 (step @p159 :rule cong :premises (@p158) :args (@t30)) % 0.21/0.54 (step @p160 :rule cong :premises (@p159) :args (@t31)) % 0.21/0.54 (step @p161 :rule aci_norm :args ((= (or @t19 (or @t23 @t27 @t8)) @t92))) % 0.21/0.54 (step @p162 :rule bool-double-not-elim :args (@t23)) % 0.21/0.54 (step @p163 :rule nary_cong :premises (@p162 @p146 @p22) :args (@t169)) % 0.21/0.54 (step @p164 :rule aci_norm :args ((= (or @t168 @t166) @t169))) % 0.21/0.54 (step @p165 :rule trans :premises (@p164 @p163)) % 0.21/0.54 (step @p166 :rule refl :args (@t168)) % 0.21/0.54 (step @p167 :rule nary_cong :premises (@p166 @p151) :args ((or @t168 @t167))) % 0.21/0.54 (step @p168 :rule bool-and-de-morgan :args (@t24 @t28 (and @t7))) % 0.21/0.54 (step @p169 :rule trans 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:args (@t44)) % 0.21/0.54 (step @p184 :rule nary_cong :premises (@p183 @p182) :args (@t45)) % 0.21/0.54 (step @p185 :rule cong :premises (@p184) :args (@t46)) % 0.21/0.54 (step @p186 :rule cong :premises (@p185) :args (@t47)) % 0.21/0.54 (step @p187 :rule trans :premises (@p186 @p49)) % 0.21/0.54 (step @p188 :rule bool-double-not-elim :args (@t47)) % 0.21/0.54 (step @p189 :rule trans :premises (@p188 @p187)) % 0.21/0.54 (step @p190 :rule eq_resolve :premises (@p3 @p189)) % 0.21/0.54 (step @p191 :rule skolemize :premises (@p190)) % 0.21/0.54 (step @p192 :rule bool-double-not-elim :args (@t172)) % 0.21/0.54 (step @p193 :rule refl :args (@t179)) % 0.21/0.54 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or @t179 (not @t178)))) % 0.21/0.54 (step @p195 :rule cnf_or_neg :args (@t179 0)) % 0.21/0.54 (step @p196 :rule eq_resolve :premises (@p195 @p194)) % 0.21/0.54 (step @p197 :rule reordering :premises (@p196) :args ((or @t172 @t179))) % 0.21/0.54 (step @p198 :rule chain_m_resolution :premises (@p197 @p191) :args (@t172 @t180 @t181)) % 0.21/0.54 (step @p199 :rule bool-double-not-elim :args (@t176)) % 0.21/0.54 (step @p200 :rule nary_cong :premises (@p193 @p199) :args ((or @t179 (not @t177)))) % 0.21/0.54 (step @p201 :rule cnf_or_neg :args (@t179 1)) % 0.21/0.54 (step @p202 :rule eq_resolve :premises (@p201 @p200)) % 0.21/0.54 (step @p203 :rule reordering :premises (@p202) :args ((or @t176 @t179))) % 0.21/0.54 (step @p204 :rule chain_m_resolution :premises (@p203 @p191) :args (@t176 @t180 @t181)) % 0.21/0.54 (step @p205 :rule instantiate :premises (@p204) :args ((@list @t170 @t170 @t170 @t170 @t170))) % 0.21/0.54 (step @p206 :rule instantiate :premises (@p1) :args ((@list @t170))) % 0.21/0.54 (step @p207 :rule cnf_or_pos :args (@t194)) % 0.21/0.54 (step @p208 :rule reordering :premises (@p207) :args ((or @t185 @t193 (not @t194)))) % 0.21/0.54 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p205) :args (@t193 (@list false false) (@list @t184 @t194))) % 0.21/0.54 (step @p210 :rule cnf_and_pos :args (@t193 0)) % 0.21/0.54 (step @p211 :rule reordering :premises (@p210) :args ((or @t192 (not @t193)))) % 0.21/0.54 (step @p212 :rule chain_m_resolution :premises (@p211 @p209) :args (@t192 @t195 (@list @t193))) % 0.21/0.54 (step @p213 :rule bool-double-not-elim :args (@t173)) % 0.21/0.54 (step @p214 :rule nary_cong :premises (@p193 @p213) :args ((or @t179 (not @t174)))) % 0.21/0.54 (step @p215 :rule cnf_or_neg :args (@t179 3)) % 0.21/0.54 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 0.21/0.54 (step @p217 :rule reordering :premises (@p216) :args ((or @t173 @t179))) % 0.21/0.54 (step @p218 :rule chain_m_resolution :premises (@p217 @p191) :args (@t173 @t180 @t181)) % 0.21/0.54 (step @p219 :rule cnf_or_neg :args (@t179 2)) % 0.21/0.54 (step @p220 :rule chain_m_resolution :premises (@p219 @p191) :args (@t182 @t180 @t181)) % 0.21/0.54 (step @p221 :rule cnf_or_pos :args (@t192)) % 0.21/0.54 (step @p222 :rule reordering :premises (@p221) :args ((or @t175 @t174 @t191 (not @t192)))) % 0.21/0.54 (step @p223 :rule chain_m_resolution :premises (@p222 @p220 @p218 @p212) :args (@t191 (@list true false false) (@list @t175 @t173 @t192))) % 0.21/0.54 (step @p224 :rule cnf_and_pos :args (@t191 0)) % 0.21/0.54 (step @p225 :rule reordering :premises (@p224) :args ((or @t190 (not @t191)))) % 0.21/0.54 (step @p226 :rule chain_m_resolution :premises (@p225 @p223) :args (@t190 @t195 (@list @t191))) % 0.21/0.54 (step @p227 :rule skolemize :premises (@p226)) % 0.21/0.54 (step @p228 :rule cnf_or_neg :args (@t200 1)) % 0.21/0.54 (step @p229 :rule chain_m_resolution :premises (@p228 @p227) :args ((not @t197) @t180 @t201)) % 0.21/0.54 (step @p230 :rule bool-double-not-elim :args (@t198)) % 0.21/0.54 (step @p231 :rule refl :args (@t200)) % 0.21/0.54 (step @p232 :rule nary_cong :premises (@p231 @p230) :args ((or @t200 (not @t199)))) % 0.21/0.54 (step @p233 :rule cnf_or_neg :args (@t200 0)) % 0.21/0.54 (step @p234 :rule eq_resolve :premises (@p233 @p232)) % 0.21/0.54 (step @p235 :rule reordering :premises (@p234) :args ((or @t198 @t200))) % 0.21/0.54 (step @p236 :rule chain_m_resolution :premises (@p235 @p227) :args (@t198 @t180 @t201)) % 0.21/0.54 (step @p237 :rule cnf_or_pos :args (@t202)) % 0.21/0.54 (step @p238 :rule reordering :premises (@p237) :args ((or @t199 @t197 @t203))) % 0.21/0.54 (step @p239 :rule chain_m_resolution :premises (@p238 @p236 @p229) :args (@t203 (@list false true) (@list @t198 @t197))) % 0.21/0.54 (assume-push @p246 @t172) % 0.21/0.54 (step @p241 :rule instantiate :premises (@p198) :args ((@list @t196))) % 0.21/0.54 (step-pop @p247 :rule scope :premises (@p241)) % 0.21/0.54 (step @p242 :rule process_scope :premises (@p247) :args (@t202)) % 0.21/0.54 (step @p244 :rule implies_elim :premises (@p242)) % 0.21/0.54 (step @p245 false :rule chain_m_resolution :premises (@p244 @p239 @p198) :args (false (@list true false) (@list @t202 @t172))) % 0.21/0.54 ) % 0.21/0.54 % SZS output end Proof % 0.21/0.54 % cvc5 exiting %------------------------------------------------------------------------------