%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL656+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 : n005.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 11:23:22 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 : LCL656+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.36 % Computer : n005.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Sat Sep 5 02:16:21 UTC 2026 % 0.11/0.36 % CPUTime : % 0.14/0.43 %----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" $$unsorted)) % 0.21/0.54 (define @t2 () (@list @t1)) % 0.21/0.54 (define @t3 () (tptp.p100 @t1)) % 0.21/0.54 (define @t4 () (tptp.p101 @t1)) % 0.21/0.54 (define @t5 () (not @t4)) % 0.21/0.54 (define @t6 () (@var "Y" $$unsorted)) % 0.21/0.54 (define @t7 () (tptp.p101 @t6)) % 0.21/0.54 (define @t8 () (not @t7)) % 0.21/0.54 (define @t9 () (tptp.p100 @t6)) % 0.21/0.54 (define @t10 () (or @t9 @t8)) % 0.21/0.54 (define @t11 () (or @t7 (not (tptp.p102 @t6)))) % 0.21/0.54 (define @t12 () (not @t9)) % 0.21/0.54 (define @t13 () (tptp.p1 @t6)) % 0.21/0.54 (define @t14 () (not @t13)) % 0.21/0.54 (define @t15 () (not @t3)) % 0.21/0.54 (define @t16 () (tptp.p1 @t1)) % 0.21/0.54 (define @t17 () (not (tptp.r1 @t6 @t1))) % 0.21/0.54 (define @t18 () (or (and (or (forall @t2 (or @t17 (not @t16) @t15)) @t13) (or (forall @t2 (or @t17 @t16 @t15)) @t14)) @t12)) % 0.21/0.54 (define @t19 () (tptp.p2 @t6)) % 0.21/0.54 (define @t20 () (not @t19)) % 0.21/0.54 (define @t21 () (tptp.p2 @t1)) % 0.21/0.54 (define @t22 () (not @t21)) % 0.21/0.54 (define @t23 () (or (and (or (forall @t2 (or @t17 @t22 @t5)) @t19) (or (forall @t2 (or @t17 @t21 @t5)) @t20)) @t8)) % 0.21/0.54 (define @t24 () (not (and @t8 @t9))) % 0.21/0.54 (define @t25 () (tptp.p102 @t1)) % 0.21/0.54 (define @t26 () (not @t25)) % 0.21/0.54 (define @t27 () (or @t17 (not (and @t21 @t26 @t4)))) % 0.21/0.54 (define @t28 () (forall @t2 @t27)) % 0.21/0.54 (define @t29 () (not @t28)) % 0.21/0.54 (define @t30 () (or @t17 (not (and @t22 @t26 @t4)))) % 0.21/0.54 (define @t31 () (forall @t2 @t30)) % 0.21/0.54 (define @t32 () (not @t31)) % 0.21/0.54 (define @t33 () (and @t32 @t29)) % 0.21/0.54 (define @t34 () (or @t33 @t24)) % 0.21/0.54 (define @t35 () (and @t34 @t23 @t18 @t11 @t10)) % 0.21/0.54 (define @t36 () (not (tptp.r1 @t1 @t6))) % 0.21/0.54 (define @t37 () (or @t36 @t35)) % 0.21/0.54 (define @t38 () (@list @t6)) % 0.21/0.54 (define @t39 () (forall @t38 @t37)) % 0.21/0.54 (define @t40 () (and @t39 @t5 @t3)) % 0.21/0.54 (define @t41 () (not @t40)) % 0.21/0.54 (define @t42 () (not (forall @t38 (or @t36 @t19)))) % 0.21/0.54 (define @t43 () (or @t42 @t41)) % 0.21/0.54 (define @t44 () (not @t43)) % 0.21/0.54 (define @t45 () (exists @t2 @t44)) % 0.21/0.54 (define @t46 () (@var "BOUND_VARIABLE_7545" $$unsorted)) % 0.21/0.54 (define @t47 () (not (tptp.p100 @t46))) % 0.21/0.54 (define @t48 () (tptp.p1 @t46)) % 0.21/0.54 (define @t49 () (not (tptp.r1 @t6 @t46))) % 0.21/0.54 (define @t50 () (or @t14 @t49 @t48 @t47)) % 0.21/0.54 (define @t51 () (@var "BOUND_VARIABLE_7535" $$unsorted)) % 0.21/0.54 (define @t52 () (not (tptp.p100 @t51))) % 0.21/0.54 (define @t53 () (not (tptp.p1 @t51))) % 0.21/0.54 (define @t54 () (not (tptp.r1 @t6 @t51))) % 0.21/0.54 (define @t55 () (or @t13 @t54 @t53 @t52)) % 0.21/0.54 (define @t56 () (or (and @t55 @t50) @t12)) % 0.21/0.54 (define @t57 () (@var "BOUND_VARIABLE_7524" $$unsorted)) % 0.21/0.54 (define @t58 () (not (tptp.p101 @t57))) % 0.21/0.54 (define @t59 () (tptp.p2 @t57)) % 0.21/0.54 (define @t60 () (not (tptp.r1 @t6 @t57))) % 0.21/0.54 (define @t61 () (or @t20 @t60 @t59 @t58)) % 0.21/0.54 (define @t62 () (@var "BOUND_VARIABLE_7514" $$unsorted)) % 0.21/0.54 (define @t63 () (not (tptp.p101 @t62))) % 0.21/0.54 (define @t64 () (not (tptp.p2 @t62))) % 0.21/0.54 (define @t65 () (not (tptp.r1 @t6 @t62))) % 0.21/0.54 (define @t66 () (or @t19 @t65 @t64 @t63)) % 0.21/0.54 (define @t67 () (or (and @t66 @t61) @t8)) % 0.21/0.54 (define @t68 () (@var "BOUND_VARIABLE_7580" $$unsorted)) % 0.21/0.54 (define @t69 () (not (tptp.p101 @t68))) % 0.21/0.54 (define @t70 () (tptp.p102 @t68)) % 0.21/0.54 (define @t71 () (not (tptp.p2 @t68))) % 0.21/0.54 (define @t72 () (@list @t68)) % 0.21/0.54 (define @t73 () (@var "BOUND_VARIABLE_7593" $$unsorted)) % 0.21/0.54 (define @t74 () (not (tptp.p101 @t73))) % 0.21/0.54 (define @t75 () (tptp.p102 @t73)) % 0.21/0.54 (define @t76 () (tptp.p2 @t73)) % 0.21/0.54 (define @t77 () (@list @t73)) % 0.21/0.54 (define @t78 () (and (or (and (not (forall @t77 (or (not (tptp.r1 @t6 @t73)) @t76 @t75 @t74))) (not (forall @t72 (or (not (tptp.r1 @t6 @t68)) @t71 @t70 @t69)))) @t7 @t12) @t67 @t56 @t11 @t10)) % 0.21/0.54 (define @t79 () (@list @t6 @t62 @t57 @t51 @t46)) % 0.21/0.54 (define @t80 () (forall @t79 (or @t36 @t78))) % 0.21/0.54 (define @t81 () (not @t80)) % 0.21/0.54 (define @t82 () (or @t42 @t81 @t4 @t15)) % 0.21/0.54 (define @t83 () (not @t5)) % 0.21/0.54 (define @t84 () (or @t81 @t83 @t15)) % 0.21/0.54 (define @t85 () (or @t42 (not (and @t80 @t5 @t3)))) % 0.21/0.54 (define @t86 () (or @t17 @t22 @t25 @t5)) % 0.21/0.54 (define @t87 () (forall @t2 @t86)) % 0.21/0.54 (define @t88 () (@list @t1)) % 0.21/0.54 (define @t89 () (not @t87)) % 0.21/0.54 (define @t90 () (or @t17 @t21 @t25 @t5)) % 0.21/0.54 (define @t91 () (forall @t2 @t90)) % 0.21/0.54 (define @t92 () (not @t91)) % 0.21/0.54 (define @t93 () (and @t92 @t89)) % 0.21/0.54 (define @t94 () (or @t93 @t7 @t12)) % 0.21/0.54 (define @t95 () (and @t94 @t67 @t56 @t11 @t10)) % 0.21/0.54 (define @t96 () (or @t36 @t95)) % 0.21/0.54 (define @t97 () (forall @t79 @t96)) % 0.21/0.54 (define @t98 () (and @t97 @t5 @t3)) % 0.21/0.54 (define @t99 () (not @t98)) % 0.21/0.54 (define @t100 () (or @t42 @t99)) % 0.21/0.54 (define @t101 () (not @t100)) % 0.21/0.54 (define @t102 () (forall @t2 (not @t101))) % 0.21/0.54 (define @t103 () (not @t102)) % 0.21/0.54 (define @t104 () (or @t49 @t48 @t47)) % 0.21/0.54 (define @t105 () (or @t104 @t14)) % 0.21/0.54 (define @t106 () (or @t54 @t53 @t52)) % 0.21/0.54 (define @t107 () (or @t106 @t13)) % 0.21/0.54 (define @t108 () (and @t107 @t105)) % 0.21/0.54 (define @t109 () (or @t108 @t12)) % 0.21/0.54 (define @t110 () (or @t60 @t59 @t58)) % 0.21/0.54 (define @t111 () (or @t110 @t20)) % 0.21/0.54 (define @t112 () (or @t65 @t64 @t63)) % 0.21/0.54 (define @t113 () (or @t112 @t19)) % 0.21/0.54 (define @t114 () (and @t113 @t111)) % 0.21/0.54 (define @t115 () (or @t114 @t8)) % 0.21/0.54 (define @t116 () (and @t94 @t115 @t109 @t11 @t10)) % 0.21/0.54 (define @t117 () (or @t36 @t116)) % 0.21/0.54 (define @t118 () (forall @t79 @t117)) % 0.21/0.54 (define @t119 () (@list @t62 @t57 @t51 @t46)) % 0.21/0.54 (define @t120 () (forall @t119 @t117)) % 0.21/0.54 (define @t121 () (forall @t119 @t10)) % 0.21/0.54 (define @t122 () (forall @t119 @t11)) % 0.21/0.54 (define @t123 () (@list @t46)) % 0.21/0.54 (define @t124 () (forall @t123 @t104)) % 0.21/0.54 (define @t125 () (or @t124 @t14)) % 0.21/0.54 (define @t126 () (forall @t123 @t105)) % 0.21/0.54 (define @t127 () (@list @t51 @t46)) % 0.21/0.54 (define @t128 () (forall @t127 @t105)) % 0.21/0.54 (define @t129 () (@list @t51)) % 0.21/0.54 (define @t130 () (forall @t129 @t106)) % 0.21/0.54 (define @t131 () (or @t130 @t13)) % 0.21/0.54 (define @t132 () (forall @t129 @t107)) % 0.21/0.54 (define @t133 () (forall @t127 @t107)) % 0.21/0.54 (define @t134 () (and @t133 @t128)) % 0.21/0.54 (define @t135 () (forall @t127 @t108)) % 0.21/0.54 (define @t136 () (or @t135 @t12)) % 0.21/0.54 (define @t137 () (forall @t127 @t109)) % 0.21/0.54 (define @t138 () (forall @t119 @t109)) % 0.21/0.54 (define @t139 () (@list @t57)) % 0.21/0.54 (define @t140 () (forall @t139 @t110)) % 0.21/0.54 (define @t141 () (or @t140 @t20)) % 0.21/0.54 (define @t142 () (forall @t139 @t111)) % 0.21/0.54 (define @t143 () (@list @t62 @t57)) % 0.21/0.54 (define @t144 () (forall @t143 @t111)) % 0.21/0.54 (define @t145 () (@list @t62)) % 0.21/0.54 (define @t146 () (forall @t145 @t112)) % 0.21/0.54 (define @t147 () (or @t146 @t19)) % 0.21/0.54 (define @t148 () (forall @t145 @t113)) % 0.21/0.54 (define @t149 () (forall @t143 @t113)) % 0.21/0.54 (define @t150 () (and @t149 @t144)) % 0.21/0.54 (define @t151 () (forall @t143 @t114)) % 0.21/0.54 (define @t152 () (or @t151 @t8)) % 0.21/0.54 (define @t153 () (forall @t143 @t115)) % 0.21/0.54 (define @t154 () (forall @t119 @t115)) % 0.21/0.54 (define @t155 () (forall @t119 @t94)) % 0.21/0.54 (define @t156 () (and @t155 @t154 @t138 @t122 @t121)) % 0.21/0.54 (define @t157 () (forall @t119 @t116)) % 0.21/0.54 (define @t158 () (or @t36 @t157)) % 0.21/0.54 (define @t159 () (or @t93 @t24)) % 0.21/0.54 (define @t160 () (and @t159 @t23 @t18 @t11 @t10)) % 0.21/0.54 (define @t161 () (or @t36 @t160)) % 0.21/0.54 (define @t162 () (not @t26)) % 0.21/0.54 (define @t163 () (or @t22 @t162 @t5)) % 0.21/0.54 (define @t164 () (or @t162 @t5)) % 0.21/0.54 (define @t165 () (not (and @t26 @t4))) % 0.21/0.54 (define @t166 () (not @t22)) % 0.21/0.54 (define @t167 () (or @t166 @t162 @t5)) % 0.21/0.54 (define @t168 () (@quantifiers_skolemize (forall @t2 @t82) 0)) % 0.21/0.54 (define @t169 () (not (tptp.r1 @t168 @t6))) % 0.21/0.54 (define @t170 () (forall @t38 (or @t169 @t19))) % 0.21/0.54 (define @t171 () (tptp.p100 @t168)) % 0.21/0.54 (define @t172 () (not @t171)) % 0.21/0.54 (define @t173 () (tptp.p101 @t168)) % 0.21/0.54 (define @t174 () (forall @t79 (or @t169 @t78))) % 0.21/0.54 (define @t175 () (not @t174)) % 0.21/0.54 (define @t176 () (not @t170)) % 0.21/0.54 (define @t177 () (or @t176 @t175 @t173 @t172)) % 0.21/0.54 (define @t178 () (@list true)) % 0.21/0.54 (define @t179 () (@list @t177)) % 0.21/0.54 (define @t180 () (not @t173)) % 0.21/0.54 (define @t181 () (tptp.p1 @t168)) % 0.21/0.54 (define @t182 () (tptp.r1 @t168 @t168)) % 0.21/0.54 (define @t183 () (not @t182)) % 0.21/0.54 (define @t184 () (not @t181)) % 0.21/0.54 (define @t185 () (tptp.p2 @t168)) % 0.21/0.54 (define @t186 () (not @t185)) % 0.21/0.54 (define @t187 () (forall @t77 (or (not (tptp.r1 @t168 @t73)) @t76 @t75 @t74))) % 0.21/0.54 (define @t188 () (not @t187)) % 0.21/0.54 (define @t189 () (and @t188 (not (forall @t72 (or (not (tptp.r1 @t168 @t68)) @t71 @t70 @t69))))) % 0.21/0.54 (define @t190 () (or @t189 @t173 @t172)) % 0.21/0.54 (define @t191 () (and @t190 (or (and (or @t185 @t183 @t186 @t180) (or @t186 @t183 @t185 @t180)) @t180) (or (and (or @t181 @t183 @t184 @t172) (or @t184 @t183 @t181 @t172)) @t172) (or @t173 (not (tptp.p102 @t168))) (or @t171 @t180))) % 0.21/0.54 (define @t192 () (or @t183 @t191)) % 0.21/0.54 (define @t193 () (@list false)) % 0.21/0.54 (define @t194 () (@quantifiers_skolemize @t187 0)) % 0.21/0.54 (define @t195 () (tptp.p2 @t194)) % 0.21/0.54 (define @t196 () (tptp.r1 @t168 @t194)) % 0.21/0.54 (define @t197 () (not @t196)) % 0.21/0.54 (define @t198 () (or @t197 @t195 (tptp.p102 @t194) (not (tptp.p101 @t194)))) % 0.21/0.54 (define @t199 () (@list @t198)) % 0.21/0.54 (define @t200 () (or @t197 @t195)) % 0.21/0.54 (define @t201 () (not @t200)) % 0.21/0.54 (assume @p1 (forall @t2 (tptp.r1 @t1 @t1))) % 0.21/0.54 (assume @p2 (not (not @t45))) % 0.21/0.54 (assume @p3 true) % 0.21/0.54 (step @p4 :rule aci_norm :args ((= (or @t42 (or @t81 @t4 @t15)) @t82))) % 0.21/0.54 (step @p5 :rule refl :args (@t15)) % 0.21/0.54 (step @p6 :rule bool-double-not-elim :args (@t4)) % 0.21/0.54 (step @p7 :rule refl :args (@t81)) % 0.21/0.54 (step @p8 :rule nary_cong :premises (@p7 @p6 @p5) :args (@t84)) % 0.21/0.54 (step @p9 :rule aci_norm :args ((= (or @t81 (or @t83 @t15)) @t84))) % 0.21/0.54 (step @p10 :rule trans :premises (@p9 @p8)) % 0.21/0.54 (step @p11 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.21/0.54 (step @p12 :rule nary_cong :premises (@p7 @p11) :args ((or @t81 (not (and @t5 @t3))))) % 0.21/0.54 (step @p13 :rule bool-and-de-morgan :args (@t80 @t5 (and @t3))) % 0.21/0.54 (step @p14 :rule trans :premises (@p13 @p12)) % 0.21/0.54 (step @p15 :rule trans :premises (@p14 @p10)) % 0.21/0.54 (step @p16 :rule refl :args (@t42)) % 0.21/0.54 (step @p17 :rule nary_cong :premises (@p16 @p15) :args (@t85)) % 0.21/0.54 (step @p18 :rule trans :premises (@p17 @p4)) % 0.21/0.54 (step @p19 :rule cong :premises (@p18) :args ((forall @t2 @t85))) % 0.21/0.54 (step @p20 :rule refl :args (@t3)) % 0.21/0.54 (step @p21 :rule refl :args (@t5)) % 0.21/0.54 (step @p22 :rule refl :args (@t10)) % 0.21/0.54 (step @p23 :rule refl :args (@t11)) % 0.21/0.54 (step @p24 :rule refl :args (@t56)) % 0.21/0.54 (step @p25 :rule refl :args (@t67)) % 0.21/0.54 (step @p26 :rule refl :args (@t12)) % 0.21/0.54 (step @p27 :rule refl :args (@t7)) % 0.21/0.54 (step @p28 :rule alpha_equiv :args (@t87 @t88 (@list @t68))) % 0.21/0.54 (step @p29 :rule cong :premises (@p28) :args (@t89)) % 0.21/0.54 (step @p30 :rule alpha_equiv :args (@t91 @t88 (@list @t73))) % 0.21/0.54 (step @p31 :rule cong :premises (@p30) :args (@t92)) % 0.21/0.54 (step @p32 :rule nary_cong :premises (@p31 @p29) :args (@t93)) % 0.21/0.54 (step @p33 :rule nary_cong :premises (@p32 @p27 @p26) :args (@t94)) % 0.21/0.54 (step @p34 :rule nary_cong :premises (@p33 @p25 @p24 @p23 @p22) :args (@t95)) % 0.21/0.54 (step @p35 :rule refl :args (@t36)) % 0.21/0.54 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t96)) % 0.21/0.54 (step @p37 :rule cong :premises (@p36) :args (@t97)) % 0.21/0.54 (step @p38 :rule nary_cong :premises (@p37 @p21 @p20) :args (@t98)) % 0.21/0.54 (step @p39 :rule cong :premises (@p38) :args (@t99)) % 0.21/0.54 (step @p40 :rule nary_cong :premises (@p16 @p39) :args (@t100)) % 0.21/0.54 (step @p41 :rule cong :premises (@p40) :args ((forall @t2 @t100))) % 0.21/0.54 (step @p42 :rule trans :premises (@p41 @p19)) % 0.21/0.54 (step @p43 :rule bool-double-not-elim :args (@t100)) % 0.21/0.54 (step @p44 :rule cong :premises (@p43) :args (@t102)) % 0.21/0.54 (step @p45 :rule trans :premises (@p44 @p42)) % 0.21/0.54 (step @p46 :rule cong :premises (@p45) :args (@t103)) % 0.21/0.54 (step @p47 :rule exists-elim :args ((= (exists @t2 @t101) @t103))) % 0.21/0.54 (step @p48 :rule trans :premises (@p47 @p46)) % 0.21/0.54 (step @p49 :rule refl :args (@t3)) % 0.21/0.54 (step @p50 :rule refl :args (@t5)) % 0.21/0.54 (step @p51 :rule refl :args (@t10)) % 0.21/0.54 (step @p52 :rule refl :args (@t11)) % 0.21/0.54 (step @p53 :rule refl :args (@t12)) % 0.21/0.54 (step @p54 :rule aci_norm :args ((= @t105 @t50))) % 0.21/0.54 (step @p55 :rule aci_norm :args ((= @t107 @t55))) % 0.21/0.54 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t108)) % 0.21/0.54 (step @p57 :rule nary_cong :premises (@p56 @p53) :args (@t109)) % 0.21/0.54 (step @p58 :rule refl :args (@t8)) % 0.21/0.54 (step @p59 :rule aci_norm :args ((= @t111 @t61))) % 0.21/0.54 (step @p60 :rule aci_norm :args ((= @t113 @t66))) % 0.21/0.54 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t114)) % 0.21/0.54 (step @p62 :rule nary_cong :premises (@p61 @p58) :args (@t115)) % 0.21/0.54 (step @p63 :rule refl :args (@t94)) % 0.21/0.54 (step @p64 :rule nary_cong :premises (@p63 @p62 @p57 @p52 @p51) :args (@t116)) % 0.21/0.54 (step @p65 :rule refl :args (@t36)) % 0.21/0.54 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t117)) % 0.21/0.54 (step @p67 :rule cong :premises (@p66) :args (@t118)) % 0.21/0.54 (step @p68 :rule quant-merge-prenex :args ((= (forall @t38 @t120) @t118))) % 0.21/0.54 (step @p69 :rule 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0.21/0.54 (step @p172 :rule cong :premises (@p171) :args (@t31)) % 0.21/0.54 (step @p173 :rule cong :premises (@p172) :args (@t32)) % 0.21/0.54 (step @p174 :rule nary_cong :premises (@p173 @p159) :args (@t33)) % 0.21/0.54 (step @p175 :rule nary_cong :premises (@p174 @p143) :args (@t34)) % 0.21/0.54 (step @p176 :rule nary_cong :premises (@p175 @p142 @p141 @p52 @p51) :args (@t35)) % 0.21/0.54 (step @p177 :rule nary_cong :premises (@p65 @p176) :args (@t37)) % 0.21/0.54 (step @p178 :rule cong :premises (@p177) :args (@t39)) % 0.21/0.54 (step @p179 :rule trans :premises (@p178 @p140)) % 0.21/0.54 (step @p180 :rule nary_cong :premises (@p179 @p50 @p49) :args (@t40)) % 0.21/0.54 (step @p181 :rule cong :premises (@p180) :args (@t41)) % 0.21/0.54 (step @p182 :rule refl :args (@t42)) % 0.21/0.54 (step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t43)) % 0.21/0.54 (step @p184 :rule cong :premises (@p183) :args (@t44)) % 0.21/0.54 (step @p185 :rule cong :premises (@p184) :args (@t45)) % 0.21/0.54 (step @p186 :rule trans :premises (@p185 @p48)) % 0.21/0.54 (step @p187 :rule bool-double-not-elim :args (@t45)) % 0.21/0.54 (step @p188 :rule trans :premises (@p187 @p186)) % 0.21/0.54 (step @p189 :rule eq_resolve :premises (@p2 @p188)) % 0.21/0.54 (step @p190 :rule skolemize :premises (@p189)) % 0.21/0.54 (step @p191 :rule bool-double-not-elim :args (@t170)) % 0.21/0.54 (step @p192 :rule refl :args (@t177)) % 0.21/0.54 (step @p193 :rule nary_cong :premises (@p192 @p191) :args ((or @t177 (not @t176)))) % 0.21/0.54 (step @p194 :rule cnf_or_neg :args (@t177 0)) % 0.21/0.54 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 0.21/0.54 (step @p196 :rule reordering :premises (@p195) :args ((or @t170 @t177))) % 0.21/0.54 (step @p197 :rule chain_m_resolution :premises (@p196 @p190) :args (@t170 @t178 @t179)) % 0.21/0.54 (step @p198 :rule bool-double-not-elim :args (@t174)) % 0.21/0.54 (step @p199 :rule nary_cong :premises (@p192 @p198) :args ((or @t177 (not @t175)))) % 0.21/0.54 (step @p200 :rule cnf_or_neg :args (@t177 1)) % 0.21/0.54 (step @p201 :rule eq_resolve :premises (@p200 @p199)) % 0.21/0.54 (step @p202 :rule reordering :premises (@p201) :args ((or @t174 @t177))) % 0.21/0.54 (step @p203 :rule chain_m_resolution :premises (@p202 @p190) :args (@t174 @t178 @t179)) % 0.21/0.54 (step @p204 :rule instantiate :premises (@p203) :args ((@list @t168 @t168 @t168 @t168 @t168))) % 0.21/0.54 (step @p205 :rule instantiate :premises (@p1) :args ((@list @t168))) % 0.21/0.54 (step @p206 :rule cnf_or_pos :args (@t192)) % 0.21/0.54 (step @p207 :rule reordering :premises (@p206) :args ((or @t183 @t191 (not @t192)))) % 0.21/0.54 (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p204) :args (@t191 (@list false false) (@list @t182 @t192))) % 0.21/0.54 (step @p209 :rule cnf_and_pos :args (@t191 0)) % 0.21/0.54 (step @p210 :rule reordering :premises (@p209) :args ((or @t190 (not @t191)))) % 0.21/0.54 (step @p211 :rule chain_m_resolution :premises (@p210 @p208) :args (@t190 @t193 (@list @t191))) % 0.21/0.54 (step @p212 :rule bool-double-not-elim :args (@t171)) % 0.21/0.54 (step @p213 :rule nary_cong :premises (@p192 @p212) :args ((or @t177 (not @t172)))) % 0.21/0.54 (step @p214 :rule cnf_or_neg :args (@t177 3)) % 0.21/0.54 (step @p215 :rule eq_resolve :premises (@p214 @p213)) % 0.21/0.54 (step @p216 :rule reordering :premises (@p215) :args ((or @t171 @t177))) % 0.21/0.54 (step @p217 :rule chain_m_resolution :premises (@p216 @p190) :args (@t171 @t178 @t179)) % 0.21/0.54 (step @p218 :rule cnf_or_neg :args (@t177 2)) % 0.21/0.54 (step @p219 :rule chain_m_resolution :premises (@p218 @p190) :args (@t180 @t178 @t179)) % 0.21/0.54 (step @p220 :rule cnf_or_pos :args (@t190)) % 0.21/0.54 (step @p221 :rule reordering :premises (@p220) :args ((or @t173 @t172 @t189 (not @t190)))) % 0.21/0.54 (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p217 @p211) :args (@t189 (@list true false false) (@list @t173 @t171 @t190))) % 0.21/0.54 (step @p223 :rule cnf_and_pos :args (@t189 0)) % 0.21/0.54 (step @p224 :rule reordering :premises (@p223) :args ((or @t188 (not @t189)))) % 0.21/0.54 (step @p225 :rule chain_m_resolution :premises (@p224 @p222) :args (@t188 @t193 (@list @t189))) % 0.21/0.54 (step @p226 :rule skolemize :premises (@p225)) % 0.21/0.54 (step @p227 :rule cnf_or_neg :args (@t198 1)) % 0.21/0.54 (step @p228 :rule chain_m_resolution :premises (@p227 @p226) :args ((not @t195) @t178 @t199)) % 0.21/0.54 (step @p229 :rule bool-double-not-elim :args (@t196)) % 0.21/0.54 (step @p230 :rule refl :args (@t198)) % 0.21/0.54 (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((or @t198 (not @t197)))) % 0.21/0.54 (step @p232 :rule cnf_or_neg :args (@t198 0)) % 0.21/0.54 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 0.21/0.54 (step @p234 :rule reordering :premises (@p233) :args ((or @t196 @t198))) % 0.21/0.54 (step @p235 :rule chain_m_resolution :premises (@p234 @p226) :args (@t196 @t178 @t199)) % 0.21/0.54 (step @p236 :rule cnf_or_pos :args (@t200)) % 0.21/0.54 (step @p237 :rule reordering :premises (@p236) :args ((or @t197 @t195 @t201))) % 0.21/0.54 (step @p238 :rule chain_m_resolution :premises (@p237 @p235 @p228) :args (@t201 (@list false true) (@list @t196 @t195))) % 0.21/0.54 (assume-push @p245 @t170) % 0.21/0.54 (step @p240 :rule instantiate :premises (@p197) :args ((@list @t194))) % 0.21/0.54 (step-pop @p246 :rule scope :premises (@p240)) % 0.21/0.54 (step @p241 :rule process_scope :premises (@p246) :args (@t200)) % 0.21/0.54 (step @p243 :rule implies_elim :premises (@p241)) % 0.21/0.54 (step @p244 false :rule chain_m_resolution :premises (@p243 @p238 @p197) :args (false (@list true false) (@list @t200 @t170))) % 0.21/0.54 ) % 0.21/0.54 % SZS output end Proof % 0.21/0.54 % cvc5 exiting %------------------------------------------------------------------------------