%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE020+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:28:06 AM UTC 2026 % Result : Theorem 16.31s 16.57s % Output : Proof 16.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE020+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n007.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:09:26 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 16.31/16.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.31/16.57 --- Run --no-e-matching --full-saturate-quant at 6... % 16.31/16.57 % SZS status Theorem % 16.31/16.57 % SZS output start Proof % 16.31/16.57 ( % 16.31/16.57 (declare-sort $$unsorted 0) % 16.31/16.57 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 16.31/16.57 (declare-const tptp.test (-> $$unsorted Bool)) % 16.31/16.57 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 16.31/16.57 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 16.31/16.57 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 16.31/16.57 (declare-const tptp.zero $$unsorted) % 16.31/16.57 (declare-const tptp.one $$unsorted) % 16.31/16.57 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 16.31/16.57 (define @t1 () (@var "A" $$unsorted)) % 16.31/16.57 (define @t2 () (@var "B" $$unsorted)) % 16.31/16.57 (define @t3 () (tptp.addition @t1 @t2)) % 16.31/16.57 (define @t4 () (@list @t1 @t2)) % 16.31/16.57 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 16.31/16.57 (define @t6 () (@var "C" $$unsorted)) % 16.31/16.57 (define @t7 () (tptp.addition @t2 @t6)) % 16.31/16.57 (define @t8 () (tptp.addition @t1 tptp.zero)) % 16.31/16.57 (define @t9 () (@list @t1)) % 16.31/16.57 (define @t10 () (forall @t9 (= @t8 @t1))) % 16.31/16.57 (define @t11 () (tptp.addition @t1 @t1)) % 16.31/16.57 (define @t12 () (forall @t9 (= @t11 @t1))) % 16.31/16.57 (define @t13 () (tptp.multiplication @t1 @t2)) % 16.31/16.57 (define @t14 () (tptp.multiplication @t2 @t6)) % 16.31/16.57 (define @t15 () (@list @t1 @t2 @t6)) % 16.31/16.57 (define @t16 () (tptp.multiplication @t1 tptp.one)) % 16.31/16.57 (define @t17 () (forall @t9 (= @t16 @t1))) % 16.31/16.57 (define @t18 () (tptp.multiplication tptp.one @t1)) % 16.31/16.57 (define @t19 () (forall @t9 (= @t18 @t1))) % 16.31/16.57 (define @t20 () (tptp.multiplication @t1 @t6)) % 16.31/16.57 (define @t21 () (@var "X0" $$unsorted)) % 16.31/16.57 (define @t22 () (@var "X1" $$unsorted)) % 16.31/16.57 (define @t23 () (tptp.complement @t22 @t21)) % 16.31/16.57 (define @t24 () (@list @t22)) % 16.31/16.57 (define @t25 () (exists @t24 @t23)) % 16.31/16.57 (define @t26 () (tptp.test @t21)) % 16.31/16.57 (define @t27 () (= @t26 @t25)) % 16.31/16.57 (define @t28 () (@list @t21)) % 16.31/16.57 (define @t29 () (forall @t28 @t27)) % 16.31/16.57 (define @t30 () (tptp.addition @t21 @t22)) % 16.31/16.57 (define @t31 () (tptp.multiplication @t22 @t21)) % 16.31/16.57 (define @t32 () (tptp.multiplication @t21 @t22)) % 16.31/16.57 (define @t33 () (and (= @t32 tptp.zero) (= @t31 tptp.zero) (= @t30 tptp.one))) % 16.31/16.57 (define @t34 () (= @t23 @t33)) % 16.31/16.57 (define @t35 () (@list @t21 @t22)) % 16.31/16.57 (define @t36 () (forall @t35 @t34)) % 16.31/16.57 (define @t37 () (tptp.c @t21)) % 16.31/16.57 (define @t38 () (not @t26)) % 16.31/16.57 (define @t39 () (@var "X2" $$unsorted)) % 16.31/16.57 (define @t40 () (= (tptp.addition @t21 (tptp.multiplication @t22 @t39)) (tptp.multiplication @t30 (tptp.addition @t21 @t39)))) % 16.31/16.57 (define @t41 () (tptp.test @t39)) % 16.31/16.57 (define @t42 () (tptp.test @t22)) % 16.31/16.57 (define @t43 () (and @t26 @t42 @t41)) % 16.31/16.57 (define @t44 () (@list @t21 @t22 @t39)) % 16.31/16.57 (define @t45 () (forall @t44 (=> @t43 @t40))) % 16.31/16.57 (define @t46 () (not @t45)) % 16.31/16.57 (define @t47 () (not @t41)) % 16.31/16.57 (define @t48 () (not @t42)) % 16.31/16.57 (define @t49 () (or @t38 @t48 @t47 @t40)) % 16.31/16.57 (define @t50 () (or @t38 @t48 @t47)) % 16.31/16.57 (define @t51 () (forall @t44 @t49)) % 16.31/16.57 (define @t52 () (@quantifiers_skolemize @t51 2)) % 16.31/16.57 (define @t53 () (@quantifiers_skolemize @t51 0)) % 16.31/16.57 (define @t54 () (tptp.addition @t53 @t52)) % 16.31/16.57 (define @t55 () (@quantifiers_skolemize @t51 1)) % 16.31/16.57 (define @t56 () (tptp.addition @t53 @t55)) % 16.31/16.57 (define @t57 () (tptp.multiplication @t56 @t54)) % 16.31/16.57 (define @t58 () (tptp.multiplication @t55 @t52)) % 16.31/16.57 (define @t59 () (tptp.addition @t53 @t58)) % 16.31/16.57 (define @t60 () (= @t59 @t57)) % 16.31/16.57 (define @t61 () (tptp.test @t52)) % 16.31/16.57 (define @t62 () (not @t61)) % 16.31/16.57 (define @t63 () (tptp.test @t55)) % 16.31/16.57 (define @t64 () (not @t63)) % 16.31/16.57 (define @t65 () (tptp.test @t53)) % 16.31/16.57 (define @t66 () (not @t65)) % 16.31/16.57 (define @t67 () (or @t66 @t64 @t62 @t60)) % 16.31/16.57 (define @t68 () (not @t60)) % 16.31/16.57 (define @t69 () (@list true)) % 16.31/16.57 (define @t70 () (@list @t67)) % 16.31/16.57 (define @t71 () (@list @t53)) % 16.31/16.57 (define @t72 () (@list @t52)) % 16.31/16.57 (define @t73 () (@list @t55)) % 16.31/16.57 (define @t74 () (tptp.multiplication @t53 @t53)) % 16.31/16.57 (define @t75 () (forall @t24 (not (tptp.complement @t22 @t53)))) % 16.31/16.57 (define @t76 () (@quantifiers_skolemize @t75 0)) % 16.31/16.57 (define @t77 () (not @t75)) % 16.31/16.57 (define @t78 () (= @t65 @t77)) % 16.31/16.57 (define @t79 () (@list false false)) % 16.31/16.57 (define @t80 () (tptp.complement @t76 @t53)) % 16.31/16.57 (define @t81 () (not @t80)) % 16.31/16.57 (define @t82 () (not @t81)) % 16.31/16.57 (define @t83 () (tptp.addition @t53 @t76)) % 16.31/16.57 (define @t84 () (= tptp.one @t83)) % 16.31/16.57 (define @t85 () (tptp.multiplication @t76 @t53)) % 16.31/16.57 (define @t86 () (= tptp.zero @t85)) % 16.31/16.57 (define @t87 () (and (= tptp.zero (tptp.multiplication @t53 @t76)) @t86 @t84)) % 16.31/16.57 (define @t88 () (= @t80 @t87)) % 16.31/16.57 (define @t89 () (not @t87)) % 16.31/16.57 (define @t90 () (@list false)) % 16.31/16.57 (define @t91 () (@list @t87)) % 16.31/16.57 (define @t92 () (forall @t24 (not (tptp.complement @t22 @t52)))) % 16.31/16.57 (define @t93 () (@quantifiers_skolemize @t92 0)) % 16.31/16.57 (define @t94 () (tptp.addition @t52 @t93)) % 16.31/16.57 (define @t95 () (tptp.addition @t93 @t52)) % 16.31/16.57 (define @t96 () (= @t94 @t95)) % 16.31/16.57 (define @t97 () (@list @t52 @t93)) % 16.31/16.57 (define @t98 () (= @t95 @t94)) % 16.31/16.57 (define @t99 () (not @t92)) % 16.31/16.57 (define @t100 () (= @t61 @t99)) % 16.31/16.57 (define @t101 () (tptp.complement @t93 @t52)) % 16.31/16.57 (define @t102 () (not @t101)) % 16.31/16.57 (define @t103 () (not @t102)) % 16.31/16.57 (define @t104 () (= tptp.one @t94)) % 16.31/16.57 (define @t105 () (and (= tptp.zero (tptp.multiplication @t52 @t93)) (= tptp.zero (tptp.multiplication @t93 @t52)) @t104)) % 16.31/16.57 (define @t106 () (= @t101 @t105)) % 16.31/16.57 (define @t107 () (forall @t24 (not (tptp.complement @t22 @t55)))) % 16.31/16.57 (define @t108 () (@quantifiers_skolemize @t107 0)) % 16.31/16.57 (define @t109 () (not @t107)) % 16.31/16.57 (define @t110 () (= @t63 @t109)) % 16.31/16.57 (define @t111 () (tptp.complement @t108 @t55)) % 16.31/16.57 (define @t112 () (not @t111)) % 16.31/16.57 (define @t113 () (not @t112)) % 16.31/16.57 (define @t114 () (tptp.addition @t55 @t108)) % 16.31/16.57 (define @t115 () (= tptp.one @t114)) % 16.31/16.57 (define @t116 () (and (= tptp.zero (tptp.multiplication @t55 @t108)) (= tptp.zero (tptp.multiplication @t108 @t55)) @t115)) % 16.31/16.57 (define @t117 () (= @t111 @t116)) % 16.31/16.57 (define @t118 () (tptp.multiplication @t53 @t54)) % 16.31/16.57 (define @t119 () (tptp.multiplication @t55 @t53)) % 16.31/16.57 (define @t120 () (tptp.addition @t58 @t74)) % 16.31/16.57 (define @t121 () (tptp.addition @t120 @t119)) % 16.31/16.57 (define @t122 () (tptp.addition @t74 @t119)) % 16.31/16.57 (define @t123 () (tptp.addition @t58 @t122)) % 16.31/16.57 (define @t124 () (= @t123 @t121)) % 16.31/16.57 (define @t125 () (not @t124)) % 16.31/16.57 (define @t126 () (tptp.addition @t58 @t119)) % 16.31/16.57 (define @t127 () (tptp.addition @t118 @t126)) % 16.31/16.57 (define @t128 () (= @t127 (tptp.addition (tptp.addition @t118 @t58) @t119))) % 16.31/16.57 (define @t129 () (not @t128)) % 16.31/16.57 (define @t130 () (tptp.multiplication @t53 @t52)) % 16.31/16.57 (define @t131 () (tptp.multiplication @t53 tptp.one)) % 16.31/16.57 (define @t132 () (tptp.addition @t131 @t130)) % 16.31/16.57 (define @t133 () (= (tptp.multiplication @t53 (tptp.addition tptp.one @t52)) @t132)) % 16.31/16.57 (define @t134 () (not @t133)) % 16.31/16.57 (define @t135 () (= @t57 (tptp.addition @t118 (tptp.multiplication @t55 @t54)))) % 16.31/16.57 (define @t136 () (not @t135)) % 16.31/16.57 (define @t137 () (tptp.addition @t95 @t52)) % 16.31/16.57 (define @t138 () (tptp.addition @t52 @t52)) % 16.31/16.57 (define @t139 () (= (tptp.addition @t93 @t138) @t137)) % 16.31/16.57 (define @t140 () (not @t139)) % 16.31/16.57 (define @t141 () (tptp.multiplication tptp.one @t53)) % 16.31/16.57 (define @t142 () (tptp.addition @t55 tptp.one)) % 16.31/16.57 (define @t143 () (tptp.multiplication @t142 @t53)) % 16.31/16.57 (define @t144 () (= @t143 (tptp.addition @t119 @t141))) % 16.31/16.57 (define @t145 () (not @t144)) % 16.31/16.57 (define @t146 () (tptp.addition @t55 @t55)) % 16.31/16.57 (define @t147 () (tptp.addition @t146 @t108)) % 16.31/16.57 (define @t148 () (= (tptp.addition @t55 @t114) @t147)) % 16.31/16.57 (define @t149 () (not @t148)) % 16.31/16.57 (define @t150 () (not @t115)) % 16.31/16.57 (define @t151 () (tptp.addition @t52 @t53)) % 16.31/16.57 (define @t152 () (tptp.multiplication @t55 @t151)) % 16.31/16.57 (define @t153 () (= @t152 @t126)) % 16.31/16.57 (define @t154 () (not @t153)) % 16.31/16.57 (define @t155 () (not @t104)) % 16.31/16.57 (define @t156 () (not @t98)) % 16.31/16.57 (define @t157 () (tptp.addition @t119 @t74)) % 16.31/16.57 (define @t158 () (tptp.addition @t55 @t53)) % 16.31/16.57 (define @t159 () (= (tptp.multiplication @t158 @t53) @t157)) % 16.31/16.57 (define @t160 () (not @t159)) % 16.31/16.57 (define @t161 () (tptp.multiplication @t83 @t53)) % 16.31/16.57 (define @t162 () (= @t161 (tptp.addition @t74 @t85))) % 16.31/16.57 (define @t163 () (not @t162)) % 16.31/16.57 (define @t164 () (not @t84)) % 16.31/16.57 (define @t165 () (not @t86)) % 16.31/16.57 (define @t166 () (tptp.addition @t74 tptp.zero)) % 16.31/16.57 (define @t167 () (= @t74 @t166)) % 16.31/16.57 (define @t168 () (not @t167)) % 16.31/16.57 (define @t169 () (= @t118 (tptp.addition @t74 @t130))) % 16.31/16.57 (define @t170 () (not @t169)) % 16.31/16.57 (define @t171 () (= @t59 (tptp.addition @t58 @t53))) % 16.31/16.57 (define @t172 () (not @t171)) % 16.31/16.57 (define @t173 () (tptp.multiplication @t56 @t53)) % 16.31/16.57 (define @t174 () (= @t173 @t122)) % 16.31/16.57 (define @t175 () (not @t174)) % 16.31/16.57 (define @t176 () (tptp.addition @t58 @t58)) % 16.31/16.57 (define @t177 () (= @t58 @t176)) % 16.31/16.57 (define @t178 () (not @t177)) % 16.31/16.57 (define @t179 () (= @t55 @t146)) % 16.31/16.57 (define @t180 () (not @t179)) % 16.31/16.57 (define @t181 () (= @t54 @t151)) % 16.31/16.57 (define @t182 () (not @t181)) % 16.31/16.57 (define @t183 () (= @t52 @t138)) % 16.31/16.57 (define @t184 () (not @t183)) % 16.31/16.57 (define @t185 () (= @t53 @t141)) % 16.31/16.57 (define @t186 () (not @t185)) % 16.31/16.57 (define @t187 () (= @t53 @t131)) % 16.31/16.57 (define @t188 () (not @t187)) % 16.31/16.57 (define @t189 () (= @t56 @t158)) % 16.31/16.57 (define @t190 () (not @t189)) % 16.31/16.57 (define @t191 () (tptp.addition @t118 @t176)) % 16.31/16.57 (define @t192 () (and @t124 @t125)) % 16.31/16.57 (assume @p1 @t5) % 16.31/16.57 (assume @p2 (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 16.31/16.57 (assume @p3 @t10) % 16.31/16.57 (assume @p4 @t12) % 16.31/16.57 (assume @p5 (forall @t15 (= (tptp.multiplication @t1 @t14) (tptp.multiplication @t13 @t6)))) % 16.31/16.57 (assume @p6 @t17) % 16.31/16.57 (assume @p7 @t19) % 16.31/16.57 (assume @p8 (forall @t15 (= (tptp.multiplication @t1 @t7) (tptp.addition @t13 @t20)))) % 16.31/16.57 (assume @p9 (forall @t15 (= (tptp.multiplication @t3 @t6) (tptp.addition @t20 @t14)))) % 16.31/16.57 (assume @p10 (forall @t9 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 16.31/16.57 (assume @p11 (forall @t9 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 16.31/16.57 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 16.31/16.57 (assume @p13 @t29) % 16.31/16.57 (assume @p14 @t36) % 16.31/16.57 (assume @p15 (forall @t35 (=> @t26 (= (= @t37 @t22) (tptp.complement @t21 @t22))))) % 16.31/16.57 (assume @p16 (forall @t28 (=> @t38 (= @t37 tptp.zero)))) % 16.31/16.57 (assume @p17 @t46) % 16.31/16.57 (assume @p18 true) % 16.31/16.57 (step @p19 :rule aci_norm :args ((= (or @t50 @t40) @t49))) % 16.31/16.57 (step @p20 :rule refl :args (@t40)) % 16.31/16.57 (step @p21 :rule aci_norm :args ((= (or @t38 (or @t48 @t47)) @t50))) % 16.31/16.57 (step @p22 :rule bool-and-de-morgan :args (@t42 @t41 true)) % 16.31/16.57 (step @p23 :rule refl :args (@t38)) % 16.31/16.57 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t38 (not (and @t42 @t41))))) % 16.31/16.57 (step @p25 :rule bool-and-de-morgan :args (@t26 @t42 (and @t41))) % 16.31/16.57 (step @p26 :rule trans :premises (@p25 @p24)) % 16.31/16.57 (step @p27 :rule trans :premises (@p26 @p21)) % 16.31/16.57 (step @p28 :rule nary_cong :premises (@p27 @p20) :args ((or (not @t43) @t40))) % 16.31/16.57 (step @p29 :rule trans :premises (@p28 @p19)) % 16.31/16.57 (step @p30 :rule bool-impl-elim :args (@t43 @t40)) % 16.31/16.57 (step @p31 :rule trans :premises (@p30 @p29)) % 16.31/16.57 (step @p32 :rule cong :premises (@p31) :args (@t45)) % 16.31/16.57 (step @p33 :rule cong :premises (@p32) :args (@t46)) % 16.31/16.57 (step @p34 :rule eq_resolve :premises (@p17 @p33)) % 16.31/16.57 (step @p35 :rule skolemize :premises (@p34)) % 16.31/16.57 (step @p36 :rule cnf_or_neg :args (@t67 3)) % 16.31/16.57 (step @p37 :rule chain_m_resolution :premises (@p36 @p35) :args (@t68 @t69 @t70)) % 16.31/16.57 (step @p38 :rule instantiate :premises (@p1) :args ((@list @t53 @t55))) % 16.31/16.57 (step @p39 :rule eq-symm :args (@t16 @t1)) % 16.31/16.57 (step @p40 :rule cong :premises (@p39) :args (@t17)) % 16.31/16.57 (step @p41 :rule eq_resolve :premises (@p6 @p40)) % 16.31/16.57 (step @p42 :rule instantiate :premises (@p41) :args (@t71)) % 16.31/16.57 (step @p43 :rule eq-symm :args (@t18 @t1)) % 16.31/16.57 (step @p44 :rule cong :premises (@p43) :args (@t19)) % 16.31/16.57 (step @p45 :rule eq_resolve :premises (@p7 @p44)) % 16.31/16.57 (step @p46 :rule instantiate :premises (@p45) :args (@t71)) % 16.31/16.57 (step @p47 :rule eq-symm :args (@t11 @t1)) % 16.31/16.57 (step @p48 :rule cong :premises (@p47) :args (@t12)) % 16.31/16.57 (step @p49 :rule eq_resolve :premises (@p4 @p48)) % 16.31/16.57 (step @p50 :rule instantiate :premises (@p49) :args (@t72)) % 16.31/16.57 (step @p51 :rule instantiate :premises (@p1) :args ((@list @t53 @t52))) % 16.31/16.57 (step @p52 :rule instantiate :premises (@p49) :args (@t73)) % 16.31/16.57 (step @p53 :rule instantiate :premises (@p49) :args ((@list @t58))) % 16.31/16.57 (step @p54 :rule instantiate :premises (@p9) :args ((@list @t53 @t55 @t53))) % 16.31/16.57 (step @p55 :rule instantiate :premises (@p1) :args ((@list @t53 @t58))) % 16.31/16.57 (step @p56 :rule instantiate :premises (@p8) :args ((@list @t53 @t53 @t52))) % 16.31/16.57 (step @p57 :rule eq-symm :args (@t8 @t1)) % 16.31/16.57 (step @p58 :rule cong :premises (@p57) :args (@t10)) % 16.31/16.57 (step @p59 :rule eq_resolve :premises (@p3 @p58)) % 16.31/16.57 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t74))) % 16.31/16.57 (step @p61 :rule eq-symm :args (@t30 tptp.one)) % 16.31/16.57 (step @p62 :rule eq-symm :args (@t31 tptp.zero)) % 16.31/16.57 (step @p63 :rule eq-symm :args (@t32 tptp.zero)) % 16.31/16.57 (step @p64 :rule nary_cong :premises (@p63 @p62 @p61) :args (@t33)) % 16.31/16.57 (step @p65 :rule refl :args (@t23)) % 16.31/16.57 (step @p66 :rule cong :premises (@p65 @p64) :args (@t34)) % 16.31/16.57 (step @p67 :rule cong :premises (@p66) :args (@t36)) % 16.31/16.57 (step @p68 :rule eq_resolve :premises (@p14 @p67)) % 16.31/16.57 (step @p69 :rule instantiate :premises (@p68) :args ((@list @t53 @t76))) % 16.31/16.57 (step @p70 :rule exists-elim :args ((= @t25 (not (forall @t24 (not @t23)))))) % 16.31/16.57 (step @p71 :rule refl :args (@t26)) % 16.31/16.57 (step @p72 :rule cong :premises (@p71 @p70) :args 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:args (@t121)) % 16.31/16.57 (step @p266 :rule trans :premises (@p265 @p232 @p231 @p224)) % 16.31/16.57 (step @p267 :rule symm :premises (@p183)) % 16.31/16.57 (step @p268 :rule refl :args (@t108)) % 16.31/16.57 (step @p269 :rule symm :premises (@p52)) % 16.31/16.57 (step @p270 :rule cong :premises (@p269 @p268) :args (@t147)) % 16.31/16.57 (step @p271 :rule cong :premises (@p226 @p183) :args (@t142)) % 16.31/16.57 (step @p272 :rule trans :premises (@p271 @p184 @p270 @p267)) % 16.31/16.57 (step @p273 :rule cong :premises (@p272 @p239) :args (@t143)) % 16.31/16.57 (step @p274 :rule symm :premises (@p185)) % 16.31/16.57 (step @p275 :rule trans :premises (@p60 @p244 @p242 @p241)) % 16.31/16.57 (step @p276 :rule cong :premises (@p233 @p275) :args (@t157)) % 16.31/16.57 (step @p277 :rule cong :premises (@p38 @p239) :args (@t173)) % 16.31/16.57 (step @p278 :rule symm :premises (@p54)) % 16.31/16.57 (step @p279 :rule trans :premises (@p278 @p277 @p110 @p276 @p274 @p273 @p238)) % 16.31/16.57 (step @p280 :rule cong :premises (@p262 @p279) :args (@t123)) % 16.31/16.57 (step @p281 :rule trans :premises (@p280 @p260)) % 16.31/16.57 (step @p282 :rule cong :premises (@p281 @p266) :args (@t124)) % 16.31/16.57 (step @p283 :rule trans :premises (@p282 @p223)) % 16.31/16.57 (step @p284 :rule symm :premises (@p283)) % 16.31/16.57 (step @p285 :rule trans :premises (@p284 @p222)) % 16.31/16.57 (step @p286 false :rule eq_resolve :premises (@p285 @p221)) % 16.31/16.57 (step-pop @p363 :rule scope :premises (@p286)) % 16.31/16.57 (step-pop @p364 :rule scope :premises (@p363)) % 16.31/16.57 (step @p287 :rule process_scope :premises (@p364) :args (false)) % 16.31/16.57 (assume-push @p365 @t68) % 16.31/16.57 (assume-push @p366 @t189) % 16.31/16.57 (assume-push @p367 @t187) % 16.31/16.57 (assume-push @p368 @t185) % 16.31/16.57 (assume-push @p369 @t183) % 16.31/16.57 (assume-push @p370 @t181) % 16.31/16.57 (assume-push @p371 @t179) % 16.31/16.57 (assume-push @p372 @t177) % 16.31/16.57 (assume-push @p373 @t174) % 16.31/16.57 (assume-push @p374 @t171) % 16.31/16.57 (assume-push @p375 @t169) % 16.31/16.57 (assume-push @p376 @t167) % 16.31/16.57 (assume-push @p377 @t86) % 16.31/16.57 (assume-push @p378 @t84) % 16.31/16.57 (assume-push @p379 @t162) % 16.31/16.57 (assume-push @p380 @t159) % 16.31/16.57 (assume-push @p381 @t98) % 16.31/16.57 (assume-push @p382 @t104) % 16.31/16.57 (assume-push @p383 @t153) % 16.31/16.57 (assume-push @p384 @t115) % 16.31/16.57 (assume-push @p385 @t148) % 16.31/16.57 (assume-push @p386 @t144) % 16.31/16.57 (assume-push @p387 @t139) % 16.31/16.57 (assume-push @p388 @t135) % 16.31/16.57 (assume-push @p389 @t133) % 16.31/16.57 (assume-push @p390 @t128) % 16.31/16.57 (assume-push @p391 @t124) % 16.31/16.57 (step @p223 :rule false_intro :premises (@p37)) % 16.31/16.57 (step @p224 :rule symm :premises (@p187)) % 16.31/16.57 (step @p225 :rule symm :premises (@p51)) % 16.31/16.57 (step @p226 :rule refl :args (@t55)) % 16.31/16.57 (step @p227 :rule cong :premises (@p226 @p225) :args (@t152)) % 16.31/16.57 (step @p228 :rule symm :premises (@p152)) % 16.31/16.57 (step @p229 :rule trans :premises (@p228 @p227)) % 16.31/16.57 (step @p230 :rule refl :args (@t118)) % 16.31/16.57 (step @p231 :rule cong :premises (@p230 @p229) :args (@t127)) % 16.31/16.57 (step @p232 :rule symm :premises (@p189)) % 16.31/16.57 (step @p233 :rule refl :args (@t119)) % 16.31/16.57 (step @p234 :rule symm :premises (@p53)) % 16.31/16.57 (step @p235 :rule cong :premises (@p230 @p234) :args (@t191)) % 16.31/16.57 (step @p236 :rule symm :premises (@p56)) % 16.31/16.57 (step @p237 :rule refl :args (@t130)) % 16.31/16.57 (step @p238 :rule symm :premises (@p46)) % 16.31/16.57 (step @p239 :rule refl :args (@t53)) % 16.31/16.57 (step @p240 :rule symm :premises (@p108)) % 16.31/16.57 (step @p241 :rule cong :premises (@p240 @p239) :args (@t161)) % 16.31/16.57 (step @p242 :rule symm :premises (@p109)) % 16.31/16.57 (step @p243 :rule refl :args (@t74)) % 16.31/16.57 (step @p244 :rule cong :premises (@p243 @p105) :args (@t166)) % 16.31/16.57 (step @p245 :rule trans :premises (@p60 @p244 @p242 @p241 @p238)) % 16.31/16.57 (step @p246 :rule symm :premises (@p245)) % 16.31/16.57 (step @p247 :rule symm :premises (@p42)) % 16.31/16.57 (step @p248 :rule trans :premises (@p247 @p246)) % 16.31/16.57 (step @p249 :rule cong :premises (@p248 @p237) :args (@t132)) % 16.31/16.57 (step @p250 :rule refl :args (@t52)) % 16.31/16.57 (step @p251 :rule symm :premises (@p151)) % 16.31/16.57 (step @p252 :rule trans :premises (@p120 @p251)) % 16.31/16.57 (step @p253 :rule cong :premises (@p252 @p250) :args (@t137)) % 16.31/16.57 (step @p254 :rule refl :args (@t93)) % 16.31/16.57 (step @p255 :rule cong :premises (@p254 @p50) :args (@t95)) % 16.31/16.57 (step @p115 :rule instantiate :premises (@p1) :args (@t97)) % 16.31/16.57 (step @p256 :rule trans :premises (@p151 @p115 @p255 @p186 @p253)) % 16.31/16.57 (step @p257 :rule cong :premises (@p239 @p256) :args (@t131)) % 16.31/16.57 (step @p258 :rule trans :premises (@p42 @p257 @p188 @p249 @p236)) % 16.31/16.57 (step @p259 :rule cong :premises (@p258 @p53) :args (@t59)) % 16.31/16.57 (step @p260 :rule symm :premises (@p55)) % 16.31/16.57 (step @p261 :rule trans :premises (@p260 @p259 @p235)) % 16.31/16.57 (step @p262 :rule refl :args (@t58)) % 16.31/16.57 (step @p263 :rule cong :premises (@p262 @p245) :args (@t120)) % 16.31/16.57 (step @p264 :rule trans :premises (@p263 @p261)) % 16.31/16.57 (step @p265 :rule cong :premises (@p264 @p233) :args (@t121)) % 16.31/16.57 (step @p266 :rule trans :premises (@p265 @p232 @p231 @p224)) % 16.31/16.57 (step @p267 :rule symm :premises (@p183)) % 16.31/16.57 (step @p268 :rule refl :args (@t108)) % 16.31/16.57 (step @p269 :rule symm :premises (@p52)) % 16.31/16.57 (step @p270 :rule cong :premises (@p269 @p268) :args (@t147)) % 16.31/16.57 (step @p271 :rule cong :premises (@p226 @p183) :args (@t142)) % 16.31/16.57 (step @p272 :rule trans :premises (@p271 @p184 @p270 @p267)) % 16.31/16.57 (step @p273 :rule cong :premises (@p272 @p239) :args (@t143)) % 16.31/16.57 (step @p274 :rule symm :premises (@p185)) % 16.31/16.57 (step @p275 :rule trans :premises (@p60 @p244 @p242 @p241)) % 16.31/16.57 (step @p276 :rule cong :premises (@p233 @p275) :args (@t157)) % 16.31/16.57 (step @p277 :rule cong :premises (@p38 @p239) :args (@t173)) % 16.31/16.57 (step @p278 :rule symm :premises (@p54)) % 16.31/16.57 (step @p279 :rule trans :premises (@p278 @p277 @p110 @p276 @p274 @p273 @p238)) % 16.31/16.57 (step @p280 :rule cong :premises (@p262 @p279) :args (@t123)) % 16.31/16.57 (step @p281 :rule trans :premises (@p280 @p260)) % 16.31/16.57 (step @p282 :rule cong :premises (@p281 @p266) :args (@t124)) % 16.31/16.57 (step @p317 :rule trans :premises (@p282 @p223)) % 16.31/16.57 (step @p318 :rule false_elim :premises (@p317)) % 16.31/16.57 (step @p319 :rule and_intro :premises (@p190 @p318)) % 16.31/16.57 (step-pop @p392 :rule scope :premises (@p319)) % 16.31/16.57 (step-pop @p393 :rule scope :premises (@p392)) % 16.31/16.57 (step-pop @p394 :rule scope :premises (@p393)) % 16.31/16.57 (step-pop @p395 :rule scope :premises (@p394)) % 16.31/16.57 (step-pop @p396 :rule scope :premises (@p395)) % 16.31/16.57 (step-pop @p397 :rule scope :premises (@p396)) % 16.31/16.57 (step-pop @p398 :rule scope :premises (@p397)) % 16.31/16.57 (step-pop @p399 :rule scope :premises (@p398)) % 16.31/16.57 (step-pop @p400 :rule scope :premises (@p399)) % 16.31/16.57 (step-pop @p401 :rule scope :premises (@p400)) % 16.31/16.57 (step-pop @p402 :rule scope :premises (@p401)) % 16.31/16.57 (step-pop @p403 :rule scope :premises (@p402)) % 16.31/16.57 (step-pop @p404 :rule scope :premises (@p403)) % 16.31/16.57 (step-pop @p405 :rule scope :premises (@p404)) % 16.31/16.57 (step-pop @p406 :rule scope :premises (@p405)) % 16.31/16.57 (step-pop @p407 :rule scope :premises (@p406)) % 16.31/16.57 (step-pop @p408 :rule scope :premises (@p407)) % 16.31/16.57 (step-pop @p409 :rule scope :premises (@p408)) % 16.31/16.57 (step-pop @p410 :rule scope :premises (@p409)) % 16.31/16.57 (step-pop @p411 :rule scope :premises (@p410)) % 16.31/16.57 (step-pop @p412 :rule scope :premises (@p411)) % 16.31/16.57 (step-pop @p413 :rule scope :premises (@p412)) % 16.31/16.57 (step-pop @p414 :rule scope :premises (@p413)) % 16.31/16.57 (step-pop @p415 :rule scope :premises (@p414)) % 16.31/16.57 (step-pop @p416 :rule scope :premises (@p415)) % 16.31/16.57 (step-pop @p417 :rule scope :premises (@p416)) % 16.31/16.57 (step-pop @p418 :rule scope :premises (@p417)) % 16.31/16.57 (step @p320 :rule process_scope :premises (@p418) :args (@t192)) % 16.31/16.57 (step @p348 :rule implies_elim :premises (@p320)) % 16.31/16.57 (step @p349 :rule resolution :premises (@p348 @p287) :args (true @t192)) % 16.31/16.57 (step @p350 :rule not_and :premises (@p349)) % 16.31/16.57 (step @p351 :rule eq_resolve :premises (@p350 @p218)) % 16.31/16.57 (step @p352 false :rule chain_m_resolution :premises (@p351 @p190 @p189 @p188 @p187 @p186 @p185 @p184 @p183 @p152 @p151 @p120 @p110 @p109 @p108 @p105 @p60 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p46 @p42 @p38 @p37) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t124 @t128 @t133 @t135 @t139 @t144 @t148 @t115 @t153 @t104 @t98 @t159 @t162 @t84 @t86 @t167 @t169 @t171 @t174 @t177 @t179 @t181 @t183 @t185 @t187 @t189 @t60))) % 16.31/16.57 ) % 16.31/16.57 % SZS output end Proof % 16.31/16.57 % cvc5 exiting %------------------------------------------------------------------------------