%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE009+3 : 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 : n015.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 08:28:03 AM UTC 2026 % Result : Theorem 0.63s 0.82s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE009+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:09:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.63/0.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.63/0.82 % SZS status Theorem % 0.63/0.82 % SZS output start Proof % 0.63/0.82 ( % 0.63/0.82 (declare-sort $$unsorted 0) % 0.63/0.82 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 0.63/0.82 (declare-const tptp.test (-> $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.82 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.63/0.82 (declare-const tptp.zero $$unsorted) % 0.63/0.82 (declare-const tptp.one $$unsorted) % 0.63/0.82 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.82 (define @t1 () (@var "A" $$unsorted)) % 0.63/0.82 (define @t2 () (@var "B" $$unsorted)) % 0.63/0.82 (define @t3 () (tptp.addition @t1 @t2)) % 0.63/0.82 (define @t4 () (@list @t1 @t2)) % 0.63/0.82 (define @t5 () (@var "C" $$unsorted)) % 0.63/0.82 (define @t6 () (tptp.addition @t2 @t5)) % 0.63/0.82 (define @t7 () (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.63/0.82 (define @t8 () (@list @t1)) % 0.63/0.82 (define @t9 () (tptp.addition @t1 @t1)) % 0.63/0.82 (define @t10 () (forall @t8 (= @t9 @t1))) % 0.63/0.82 (define @t11 () (tptp.multiplication @t1 @t2)) % 0.63/0.82 (define @t12 () (tptp.multiplication @t2 @t5)) % 0.63/0.82 (define @t13 () (@list @t1 @t2 @t5)) % 0.63/0.82 (define @t14 () (tptp.multiplication tptp.one @t1)) % 0.63/0.82 (define @t15 () (forall @t8 (= @t14 @t1))) % 0.63/0.82 (define @t16 () (tptp.multiplication @t1 @t5)) % 0.63/0.82 (define @t17 () (forall @t13 (= (tptp.multiplication @t1 @t6) (tptp.addition @t11 @t16)))) % 0.63/0.82 (define @t18 () (forall @t13 (= (tptp.multiplication @t3 @t5) (tptp.addition @t16 @t12)))) % 0.63/0.82 (define @t19 () (tptp.leq @t1 @t2)) % 0.63/0.82 (define @t20 () (= @t19 (= @t3 @t2))) % 0.63/0.82 (define @t21 () (forall @t4 @t20)) % 0.63/0.82 (define @t22 () (@var "X0" $$unsorted)) % 0.63/0.82 (define @t23 () (@var "X1" $$unsorted)) % 0.63/0.82 (define @t24 () (tptp.complement @t23 @t22)) % 0.63/0.82 (define @t25 () (@list @t23)) % 0.63/0.82 (define @t26 () (exists @t25 @t24)) % 0.63/0.82 (define @t27 () (tptp.test @t22)) % 0.63/0.82 (define @t28 () (= @t27 @t26)) % 0.63/0.82 (define @t29 () (@list @t22)) % 0.63/0.82 (define @t30 () (forall @t29 @t28)) % 0.63/0.82 (define @t31 () (tptp.addition @t22 @t23)) % 0.63/0.82 (define @t32 () (tptp.multiplication @t23 @t22)) % 0.63/0.82 (define @t33 () (tptp.multiplication @t22 @t23)) % 0.63/0.82 (define @t34 () (and (= @t33 tptp.zero) (= @t32 tptp.zero) (= @t31 tptp.one))) % 0.63/0.82 (define @t35 () (= @t24 @t34)) % 0.63/0.82 (define @t36 () (@list @t22 @t23)) % 0.63/0.82 (define @t37 () (forall @t36 @t35)) % 0.63/0.82 (define @t38 () (tptp.complement @t22 @t23)) % 0.63/0.82 (define @t39 () (tptp.c @t22)) % 0.63/0.82 (define @t40 () (= (= @t39 @t23) @t38)) % 0.63/0.82 (define @t41 () (=> @t27 @t40)) % 0.63/0.82 (define @t42 () (forall @t36 @t41)) % 0.63/0.82 (define @t43 () (not @t27)) % 0.63/0.82 (define @t44 () (tptp.c @t23)) % 0.63/0.82 (define @t45 () (tptp.addition (tptp.addition (tptp.addition @t33 (tptp.multiplication @t22 @t44)) (tptp.multiplication @t39 @t23)) (tptp.multiplication @t39 @t44))) % 0.63/0.82 (define @t46 () (and (tptp.leq tptp.one @t45) (tptp.leq @t45 tptp.one))) % 0.63/0.82 (define @t47 () (tptp.test @t23)) % 0.63/0.82 (define @t48 () (and @t47 @t27)) % 0.63/0.82 (define @t49 () (forall @t36 (=> @t48 @t46))) % 0.63/0.82 (define @t50 () (not @t49)) % 0.63/0.82 (define @t51 () (not @t47)) % 0.63/0.82 (define @t52 () (or @t51 @t43 @t46)) % 0.63/0.82 (define @t53 () (forall @t36 @t52)) % 0.63/0.82 (define @t54 () (@quantifiers_skolemize @t53 1)) % 0.63/0.82 (define @t55 () (tptp.c @t54)) % 0.63/0.82 (define @t56 () (@quantifiers_skolemize @t53 0)) % 0.63/0.82 (define @t57 () (tptp.c @t56)) % 0.63/0.82 (define @t58 () (tptp.multiplication @t57 @t55)) % 0.63/0.82 (define @t59 () (tptp.multiplication @t57 @t54)) % 0.63/0.82 (define @t60 () (tptp.multiplication @t56 @t55)) % 0.63/0.82 (define @t61 () (tptp.multiplication @t56 @t54)) % 0.63/0.82 (define @t62 () (tptp.addition @t61 @t60)) % 0.63/0.82 (define @t63 () (tptp.addition @t62 @t59)) % 0.63/0.82 (define @t64 () (tptp.addition @t63 @t58)) % 0.63/0.82 (define @t65 () (tptp.leq @t64 tptp.one)) % 0.63/0.82 (define @t66 () (tptp.leq tptp.one @t64)) % 0.63/0.82 (define @t67 () (and @t66 @t65)) % 0.63/0.82 (define @t68 () (tptp.test @t56)) % 0.63/0.82 (define @t69 () (not @t68)) % 0.63/0.82 (define @t70 () (tptp.test @t54)) % 0.63/0.82 (define @t71 () (not @t70)) % 0.63/0.82 (define @t72 () (or @t71 @t69 @t67)) % 0.63/0.82 (define @t73 () (@list true)) % 0.63/0.82 (define @t74 () (@list @t72)) % 0.63/0.82 (define @t75 () (@list tptp.one @t64)) % 0.63/0.82 (define @t76 () (= @t23 @t39)) % 0.63/0.82 (define @t77 () (= @t38 @t76)) % 0.63/0.82 (define @t78 () (forall @t25 (not (tptp.complement @t23 @t54)))) % 0.63/0.82 (define @t79 () (@quantifiers_skolemize @t78 0)) % 0.63/0.82 (define @t80 () (tptp.complement @t54 @t79)) % 0.63/0.82 (define @t81 () (= @t80 (= @t79 @t55))) % 0.63/0.82 (define @t82 () (or @t71 @t81)) % 0.63/0.82 (define @t83 () (forall @t36 (or @t43 @t77))) % 0.63/0.82 (define @t84 () (@list @t54 @t79)) % 0.63/0.82 (define @t85 () (= @t55 @t79)) % 0.63/0.82 (define @t86 () (= @t80 @t85)) % 0.63/0.82 (define @t87 () (or @t71 @t86)) % 0.63/0.82 (define @t88 () (@list false)) % 0.63/0.82 (define @t89 () (@list @t83)) % 0.63/0.82 (define @t90 () (@list false false)) % 0.63/0.82 (define @t91 () (@list @t54)) % 0.63/0.82 (define @t92 () (not @t78)) % 0.63/0.82 (define @t93 () (= @t70 @t92)) % 0.63/0.82 (define @t94 () (tptp.complement @t79 @t54)) % 0.63/0.82 (define @t95 () (not @t94)) % 0.63/0.82 (define @t96 () (not @t95)) % 0.63/0.82 (define @t97 () (tptp.addition @t54 @t79)) % 0.63/0.82 (define @t98 () (= tptp.one @t97)) % 0.63/0.82 (define @t99 () (= tptp.zero (tptp.multiplication @t79 @t54))) % 0.63/0.82 (define @t100 () (= tptp.zero (tptp.multiplication @t54 @t79))) % 0.63/0.82 (define @t101 () (and @t100 @t99 @t98)) % 0.63/0.82 (define @t102 () (= @t94 @t101)) % 0.63/0.82 (define @t103 () (not @t101)) % 0.63/0.82 (define @t104 () (@list @t101)) % 0.63/0.82 (define @t105 () (= tptp.one (tptp.addition @t79 @t54))) % 0.63/0.82 (define @t106 () (and @t99 @t100 @t105)) % 0.63/0.82 (define @t107 () (@list false false false)) % 0.63/0.82 (define @t108 () (= @t80 @t106)) % 0.63/0.82 (define @t109 () (forall @t25 (not (tptp.complement @t23 @t56)))) % 0.63/0.82 (define @t110 () (@quantifiers_skolemize @t109 0)) % 0.63/0.82 (define @t111 () (tptp.complement @t56 @t110)) % 0.63/0.82 (define @t112 () (= @t111 (= @t110 @t57))) % 0.63/0.82 (define @t113 () (or @t69 @t112)) % 0.63/0.82 (define @t114 () (@list @t56 @t110)) % 0.63/0.82 (define @t115 () (= @t57 @t110)) % 0.63/0.82 (define @t116 () (= @t111 @t115)) % 0.63/0.82 (define @t117 () (or @t69 @t116)) % 0.63/0.82 (define @t118 () (not @t109)) % 0.63/0.82 (define @t119 () (= @t68 @t118)) % 0.63/0.82 (define @t120 () (tptp.complement @t110 @t56)) % 0.63/0.82 (define @t121 () (not @t120)) % 0.63/0.82 (define @t122 () (not @t121)) % 0.63/0.82 (define @t123 () (tptp.addition @t56 @t110)) % 0.63/0.82 (define @t124 () (= tptp.one @t123)) % 0.63/0.82 (define @t125 () (= tptp.zero (tptp.multiplication @t110 @t56))) % 0.63/0.82 (define @t126 () (= tptp.zero (tptp.multiplication @t56 @t110))) % 0.63/0.82 (define @t127 () (and @t126 @t125 @t124)) % 0.63/0.82 (define @t128 () (= @t120 @t127)) % 0.63/0.82 (define @t129 () (not @t127)) % 0.63/0.82 (define @t130 () (@list @t127)) % 0.63/0.82 (define @t131 () (= tptp.one (tptp.addition @t110 @t56))) % 0.63/0.82 (define @t132 () (and @t125 @t126 @t131)) % 0.63/0.82 (define @t133 () (= @t111 @t132)) % 0.63/0.82 (define @t134 () (tptp.addition @t56 @t57)) % 0.63/0.82 (define @t135 () (tptp.multiplication @t134 @t54)) % 0.63/0.82 (define @t136 () (tptp.addition @t61 @t59)) % 0.63/0.82 (define @t137 () (= @t135 @t136)) % 0.63/0.82 (define @t138 () (@list @t56 @t57 @t54)) % 0.63/0.82 (define @t139 () (= @t136 @t135)) % 0.63/0.82 (define @t140 () (tptp.addition @t57 @t56)) % 0.63/0.82 (define @t141 () (@list tptp.one)) % 0.63/0.82 (define @t142 () (tptp.addition @t54 @t55)) % 0.63/0.82 (define @t143 () (@list @t57 @t56 @t142)) % 0.63/0.82 (define @t144 () (tptp.addition tptp.one @t63)) % 0.63/0.82 (define @t145 () (@list @t144 @t58)) % 0.63/0.82 (define @t146 () (tptp.addition @t59 @t58)) % 0.63/0.82 (define @t147 () (tptp.addition @t60 @t146)) % 0.63/0.82 (define @t148 () (@list @t61 @t147)) % 0.63/0.82 (define @t149 () (tptp.multiplication @t57 @t142)) % 0.63/0.82 (define @t150 () (= @t149 @t146)) % 0.63/0.82 (define @t151 () (@list @t57 @t54 @t55)) % 0.63/0.82 (define @t152 () (= @t146 @t149)) % 0.63/0.82 (define @t153 () (@list @t17)) % 0.63/0.82 (define @t154 () (tptp.addition @t61 @t147)) % 0.63/0.82 (define @t155 () (tptp.addition @t62 @t146)) % 0.63/0.82 (define @t156 () (= @t154 @t155)) % 0.63/0.82 (define @t157 () (= @t155 @t154)) % 0.63/0.82 (define @t158 () (@list @t7)) % 0.63/0.82 (define @t159 () (@list @t58 @t63 tptp.one)) % 0.63/0.82 (define @t160 () (tptp.multiplication @t56 @t142)) % 0.63/0.82 (define @t161 () (= @t160 @t62)) % 0.63/0.82 (define @t162 () (@list @t56 @t54 @t55)) % 0.63/0.82 (define @t163 () (= @t62 @t160)) % 0.63/0.82 (define @t164 () (= @t155 @t64)) % 0.63/0.82 (define @t165 () (@list @t58 @t59 @t62)) % 0.63/0.82 (define @t166 () (= @t64 @t155)) % 0.63/0.82 (define @t167 () (= @t155 (tptp.addition @t146 @t62))) % 0.63/0.82 (define @t168 () (tptp.addition @t144 @t58)) % 0.63/0.82 (define @t169 () (tptp.addition tptp.one @t64)) % 0.63/0.82 (define @t170 () (= @t169 @t168)) % 0.63/0.82 (define @t171 () (tptp.addition @t147 @t61)) % 0.63/0.82 (define @t172 () (= @t154 @t171)) % 0.63/0.82 (define @t173 () (tptp.addition @t58 @t144)) % 0.63/0.82 (define @t174 () (= @t168 @t173)) % 0.63/0.82 (define @t175 () (tptp.addition @t55 @t55)) % 0.63/0.82 (define @t176 () (= @t55 @t175)) % 0.63/0.82 (define @t177 () (tptp.addition @t149 @t160)) % 0.63/0.82 (define @t178 () (tptp.multiplication @t140 @t142)) % 0.63/0.82 (define @t179 () (= @t178 @t177)) % 0.63/0.82 (define @t180 () (= (tptp.addition @t59 @t61) @t136)) % 0.63/0.82 (define @t181 () (= @t134 @t140)) % 0.63/0.82 (define @t182 () (tptp.addition tptp.one tptp.one)) % 0.63/0.82 (define @t183 () (= tptp.one @t182)) % 0.63/0.82 (define @t184 () (tptp.multiplication tptp.one @t54)) % 0.63/0.82 (define @t185 () (= @t54 @t184)) % 0.63/0.82 (define @t186 () (tptp.multiplication tptp.one @t79)) % 0.63/0.82 (define @t187 () (= @t79 @t186)) % 0.63/0.82 (define @t188 () (= @t178 (tptp.addition (tptp.multiplication @t140 @t54) (tptp.multiplication @t140 @t55)))) % 0.63/0.82 (define @t189 () (tptp.multiplication @t134 @t175)) % 0.63/0.82 (define @t190 () (tptp.multiplication @t134 @t55)) % 0.63/0.82 (define @t191 () (tptp.addition @t135 @t190)) % 0.63/0.82 (define @t192 () (tptp.multiplication tptp.one @t55)) % 0.63/0.82 (define @t193 () (tptp.addition @t134 @t142)) % 0.63/0.82 (define @t194 () (tptp.addition tptp.one @t142)) % 0.63/0.82 (define @t195 () (= @t64 @t169)) % 0.63/0.82 (define @t196 () (and @t166 @t163 @t167 @t170 @t157 @t152 @t124 @t98 @t172 @t174 @t176 @t179 @t180 @t181 @t183 @t185 @t187 @t188 @t139 @t115 @t85)) % 0.63/0.82 (define @t197 () (= @t66 @t195)) % 0.63/0.82 (define @t198 () (= tptp.one (tptp.addition @t64 tptp.one))) % 0.63/0.82 (define @t199 () (= @t65 @t198)) % 0.63/0.82 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.63/0.82 (assume @p2 @t7) % 0.63/0.82 (assume @p3 (forall @t8 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.63/0.82 (assume @p4 @t10) % 0.63/0.82 (assume @p5 (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t5)))) % 0.63/0.82 (assume @p6 (forall @t8 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.63/0.82 (assume @p7 @t15) % 0.63/0.82 (assume @p8 @t17) % 0.63/0.82 (assume @p9 @t18) % 0.63/0.82 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.63/0.82 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.63/0.82 (assume @p12 @t21) % 0.63/0.82 (assume @p13 @t30) % 0.63/0.82 (assume @p14 @t37) % 0.63/0.82 (assume @p15 @t42) % 0.63/0.82 (assume @p16 (forall @t29 (=> @t43 (= @t39 tptp.zero)))) % 0.63/0.82 (assume @p17 @t50) % 0.63/0.82 (assume @p18 true) % 0.63/0.82 (step @p19 :rule aci_norm :args ((= (or (or @t51 @t43) @t46) @t52))) % 0.63/0.82 (step @p20 :rule refl :args (@t46)) % 0.63/0.82 (step @p21 :rule bool-and-de-morgan :args (@t47 @t27 true)) % 0.63/0.82 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t48) @t46))) % 0.63/0.82 (step @p23 :rule trans :premises (@p22 @p19)) % 0.63/0.82 (step @p24 :rule bool-impl-elim :args (@t48 @t46)) % 0.63/0.82 (step @p25 :rule trans :premises (@p24 @p23)) % 0.63/0.82 (step @p26 :rule cong :premises (@p25) :args (@t49)) % 0.63/0.82 (step @p27 :rule cong :premises (@p26) :args (@t50)) % 0.63/0.82 (step @p28 :rule eq_resolve :premises (@p17 @p27)) % 0.63/0.82 (step @p29 :rule skolemize :premises (@p28)) % 0.63/0.82 (step @p30 :rule cnf_or_neg :args (@t72 2)) % 0.63/0.82 (step @p31 :rule chain_m_resolution :premises (@p30 @p29) :args ((not @t67) @t73 @t74)) % 0.63/0.82 (step @p32 :rule eq-symm :args (@t3 @t2)) % 0.63/0.82 (step @p33 :rule refl :args (@t19)) % 0.63/0.82 (step @p34 :rule cong :premises (@p33 @p32) :args (@t20)) % 0.63/0.82 (step @p35 :rule cong :premises (@p34) :args (@t21)) % 0.63/0.82 (step @p36 :rule eq_resolve :premises (@p12 @p35)) % 0.63/0.82 (step @p37 :rule instantiate :premises (@p36) :args (@t75)) % 0.63/0.82 (step @p38 :rule bool-impl-elim :args (@t27 @t77)) % 0.63/0.82 (step @p39 :rule cong :premises (@p38) :args ((forall @t36 (=> @t27 @t77)))) % 0.63/0.82 (step @p40 :rule eq-symm :args (@t76 @t38)) % 0.63/0.82 (step @p41 :rule refl :args (@t38)) % 0.63/0.82 (step @p42 :rule eq-symm :args (@t39 @t23)) % 0.63/0.82 (step @p43 :rule cong :premises (@p42 @p41) :args (@t40)) % 0.63/0.82 (step @p44 :rule trans :premises (@p43 @p40)) % 0.63/0.82 (step @p45 :rule refl :args (@t27)) % 0.63/0.82 (step @p46 :rule cong :premises (@p45 @p44) :args (@t41)) % 0.63/0.82 (step @p47 :rule cong :premises (@p46) :args (@t42)) % 0.63/0.82 (step @p48 :rule trans :premises (@p47 @p39)) % 0.63/0.82 (step @p49 :rule eq_resolve :premises (@p15 @p48)) % 0.63/0.82 (step @p50 :rule eq-symm :args (@t79 @t55)) % 0.63/0.82 (step @p51 :rule refl :args (@t80)) % 0.63/0.82 (step @p52 :rule cong :premises (@p51 @p50) :args (@t81)) % 0.63/0.82 (step @p53 :rule refl :args (@t71)) % 0.63/0.82 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t82)) % 0.63/0.82 (step @p55 :rule refl :args (@t83)) % 0.63/0.82 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t83 @t82))) % 0.63/0.82 (assume-push @p390 @t83) % 0.63/0.82 (step @p58 :rule instantiate :premises (@p49) :args (@t84)) % 0.63/0.82 (step-pop @p391 :rule scope :premises (@p58)) % 0.63/0.82 (step @p59 :rule process_scope :premises (@p391) :args (@t82)) % 0.63/0.82 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 0.63/0.82 (step @p62 :rule implies_elim :premises (@p61)) % 0.63/0.82 (step @p63 :rule chain_m_resolution :premises (@p62 @p49) :args (@t87 @t88 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:premises (@p2) :args (@t165)) % 0.63/0.82 (step @p292 :rule symm :premises (@p241)) % 0.63/0.82 (step @p245 :rule instantiate :premises (@p8) :args (@t162)) % 0.63/0.82 (step @p224 :rule instantiate :premises (@p8) :args (@t151)) % 0.63/0.82 (step @p293 :rule cong :premises (@p224 @p245) :args (@t177)) % 0.63/0.82 (step @p294 :rule symm :premises (@p204)) % 0.63/0.82 (step @p295 :rule symm :premises (@p217)) % 0.63/0.82 (step @p296 :rule cong :premises (@p214 @p295) :args (@t189)) % 0.63/0.82 (step @p297 :rule refl :args (@t134)) % 0.63/0.82 (step @p298 :rule cong :premises (@p297 @p217) :args (@t190)) % 0.63/0.82 (step @p299 :rule trans :premises (@p298 @p296)) % 0.63/0.82 (step @p300 :rule refl :args (@t54)) % 0.63/0.82 (step @p301 :rule cong :premises (@p214 @p300) :args (@t135)) % 0.63/0.82 (step @p302 :rule cong :premises (@p301 @p299) :args (@t191)) % 0.63/0.82 (step @p303 :rule symm :premises (@p298)) % 0.63/0.82 (step @p304 :rule symm :premises (@p296)) % 0.63/0.82 (step @p305 :rule refl :args (@t55)) % 0.63/0.82 (step @p306 :rule symm :premises (@p193)) % 0.63/0.82 (step @p307 :rule refl :args (@t56)) % 0.63/0.82 (step @p308 :rule cong :premises (@p307 @p306) :args (@t123)) % 0.63/0.82 (step @p309 :rule trans :premises (@p177 @p308)) % 0.63/0.82 (step @p310 :rule trans :premises (@p309 @p214)) % 0.63/0.82 (step @p311 :rule cong :premises (@p310 @p305) :args (@t192)) % 0.63/0.82 (step @p312 :rule symm :premises (@p128)) % 0.63/0.82 (step @p313 :rule refl :args (tptp.one)) % 0.63/0.82 (step @p314 :rule cong :premises (@p313 @p312) :args (@t186)) % 0.63/0.82 (step @p315 :rule trans :premises (@p208 @p314 @p311 @p304 @p303)) % 0.63/0.82 (step @p316 :rule trans :premises (@p215 @p203)) % 0.63/0.82 (step @p317 :rule symm :premises (@p215)) % 0.63/0.82 (step @p198 :rule instantiate :premises (@p9) :args (@t138)) % 0.63/0.82 (step @p318 :rule cong :premises (@p309 @p300) :args (@t184)) % 0.63/0.82 (step @p319 :rule trans :premises (@p209 @p318 @p198 @p317)) % 0.63/0.82 (step @p320 :rule trans :premises (@p319 @p316)) % 0.63/0.82 (step @p321 :rule cong :premises (@p320 @p315) :args (@t97)) % 0.63/0.82 (step @p322 :rule cong :premises (@p300 @p128) :args (@t142)) % 0.63/0.82 (step @p323 :rule trans :premises (@p322 @p321 @p302 @p294 @p216 @p293 @p292 @p254)) % 0.63/0.82 (step @p324 :rule symm :premises (@p309)) % 0.63/0.82 (step @p325 :rule cong :premises (@p324 @p323) :args (@t193)) % 0.63/0.82 (step @p326 :rule refl :args (@t142)) % 0.63/0.82 (step @p327 :rule cong :premises (@p309 @p326) :args (@t194)) % 0.63/0.82 (step @p328 :rule symm :premises (@p322)) % 0.63/0.82 (step @p329 :rule trans :premises (@p112 @p328)) % 0.63/0.82 (step @p330 :rule cong :premises (@p313 @p329) :args (@t182)) % 0.63/0.82 (step @p331 :rule instantiate :premises (@p212) :args (@t141)) % 0.63/0.82 (step @p332 :rule trans :premises (@p331 @p330 @p327 @p325 @p291 @p290)) % 0.63/0.82 (step @p333 :rule instantiate :premises (@p1) :args (@t148)) % 0.63/0.82 (step @p334 :rule chain_m_resolution :premises (@p238 @p2) :args (@t157 @t88 @t158)) % 0.63/0.82 (step @p335 :rule instantiate :premises (@p9) :args (@t143)) % 0.63/0.82 (step @p336 :rule chain_m_resolution :premises (@p111 @p109) :args (@t98 @t88 @t104)) % 0.63/0.82 (step @p337 :rule trans :premises (@p336 @p321 @p302 @p294 @p335 @p293 @p292 @p334 @p333)) % 0.63/0.82 (step @p338 :rule symm :premises (@p337)) % 0.63/0.82 (step @p339 :rule trans :premises (@p259 @p239 @p219 @p338 @p332 @p289 @p288)) % 0.63/0.82 (step-pop @p436 :rule scope :premises (@p339)) % 0.63/0.82 (step-pop @p437 :rule scope :premises (@p436)) % 0.63/0.82 (step-pop @p438 :rule scope :premises (@p437)) % 0.63/0.82 (step-pop @p439 :rule scope :premises (@p438)) % 0.63/0.82 (step-pop @p440 :rule scope :premises (@p439)) % 0.63/0.82 (step-pop @p441 :rule scope :premises (@p440)) % 0.63/0.82 (step-pop @p442 :rule scope :premises (@p441)) % 0.63/0.82 (step @p340 :rule process_scope :premises (@p442) :args (@t195)) % 0.63/0.82 (step @p292 :rule symm :premises (@p241)) % 0.63/0.82 (step @p245 :rule instantiate :premises (@p8) :args (@t162)) % 0.63/0.82 (step @p224 :rule instantiate :premises (@p8) :args (@t151)) % 0.63/0.82 (step @p293 :rule cong :premises (@p224 @p245) :args (@t177)) % 0.63/0.82 (step @p294 :rule symm :premises (@p204)) % 0.63/0.82 (step @p295 :rule symm :premises (@p217)) % 0.63/0.82 (step @p296 :rule cong :premises (@p214 @p295) :args (@t189)) % 0.63/0.82 (step @p297 :rule refl :args (@t134)) % 0.63/0.82 (step @p298 :rule cong :premises (@p297 @p217) :args (@t190)) % 0.63/0.82 (step @p299 :rule trans :premises (@p298 @p296)) % 0.63/0.82 (step @p300 :rule refl :args (@t54)) % 0.63/0.82 (step @p301 :rule cong :premises (@p214 @p300) :args (@t135)) % 0.63/0.82 (step @p302 :rule cong :premises (@p301 @p299) :args (@t191)) % 0.63/0.82 (step @p303 :rule symm :premises (@p298)) % 0.63/0.82 (step @p304 :rule symm :premises (@p296)) % 0.63/0.82 (step @p305 :rule refl :args (@t55)) % 0.63/0.82 (step @p306 :rule symm :premises (@p193)) % 0.63/0.82 (step @p307 :rule refl :args (@t56)) % 0.63/0.82 (step @p308 :rule cong :premises (@p307 @p306) :args (@t123)) % 0.63/0.82 (step @p309 :rule trans :premises (@p177 @p308)) % 0.63/0.82 (step @p310 :rule trans :premises (@p309 @p214)) % 0.63/0.82 (step @p311 :rule cong :premises (@p310 @p305) :args (@t192)) % 0.63/0.82 (step @p312 :rule symm :premises (@p128)) % 0.63/0.82 (step @p313 :rule refl :args (tptp.one)) % 0.63/0.82 (step @p314 :rule cong :premises (@p313 @p312) :args (@t186)) % 0.63/0.82 (step @p315 :rule trans :premises (@p208 @p314 @p311 @p304 @p303)) % 0.63/0.82 (step @p316 :rule trans :premises (@p215 @p203)) % 0.63/0.82 (step @p317 :rule symm :premises (@p215)) % 0.63/0.82 (step @p198 :rule instantiate :premises (@p9) :args (@t138)) % 0.63/0.82 (step @p318 :rule cong :premises (@p309 @p300) :args (@t184)) % 0.63/0.82 (step @p319 :rule trans :premises (@p209 @p318 @p198 @p317)) % 0.63/0.82 (step @p320 :rule trans :premises (@p319 @p316)) % 0.63/0.82 (step @p321 :rule cong :premises (@p320 @p315) :args (@t97)) % 0.63/0.82 (step @p348 :rule trans :premises (@p112 @p321 @p302 @p294 @p216 @p293 @p292 @p239 @p219)) % 0.63/0.82 (step @p254 :rule instantiate :premises (@p2) :args (@t165)) % 0.63/0.82 (step @p322 :rule cong :premises (@p300 @p128) :args (@t142)) % 0.63/0.82 (step @p323 :rule trans :premises (@p322 @p321 @p302 @p294 @p216 @p293 @p292 @p254)) % 0.63/0.82 (step @p324 :rule symm :premises (@p309)) % 0.63/0.82 (step @p325 :rule cong :premises (@p324 @p323) :args (@t193)) % 0.63/0.82 (step @p326 :rule refl :args (@t142)) % 0.63/0.82 (step @p327 :rule cong :premises (@p309 @p326) :args (@t194)) % 0.63/0.82 (step @p328 :rule symm :premises (@p322)) % 0.63/0.82 (step @p329 :rule trans :premises (@p112 @p328)) % 0.63/0.82 (step @p330 :rule cong :premises (@p313 @p329) :args (@t182)) % 0.63/0.82 (step @p349 :rule trans :premises (@p213 @p330 @p327 @p325 @p240 @p218)) % 0.63/0.82 (step @p350 :rule and_intro :premises (@p240 @p218 @p349 @p348 @p219 @p239 @p259)) % 0.63/0.82 (step @p351 :rule modus_ponens :premises (@p350 @p340)) % 0.63/0.82 (step-pop @p443 :rule scope :premises (@p351)) % 0.63/0.82 (step-pop @p444 :rule scope :premises (@p443)) % 0.63/0.82 (step-pop @p445 :rule scope :premises (@p444)) % 0.63/0.82 (step-pop @p446 :rule scope :premises (@p445)) % 0.63/0.82 (step-pop @p447 :rule scope :premises (@p446)) % 0.63/0.82 (step-pop @p448 :rule scope :premises (@p447)) % 0.63/0.82 (step-pop @p449 :rule scope :premises (@p448)) % 0.63/0.82 (step-pop @p450 :rule scope :premises (@p449)) % 0.63/0.82 (step-pop @p451 :rule scope :premises (@p450)) % 0.63/0.82 (step-pop @p452 :rule scope :premises (@p451)) % 0.63/0.82 (step-pop @p453 :rule scope :premises (@p452)) % 0.63/0.82 (step-pop @p454 :rule scope :premises (@p453)) % 0.63/0.82 (step-pop @p455 :rule scope :premises (@p454)) % 0.63/0.82 (step-pop @p456 :rule scope :premises (@p455)) % 0.63/0.82 (step-pop @p457 :rule scope :premises (@p456)) % 0.63/0.82 (step-pop @p458 :rule scope :premises (@p457)) % 0.63/0.82 (step-pop @p459 :rule scope :premises (@p458)) % 0.63/0.82 (step-pop @p460 :rule scope :premises (@p459)) % 0.63/0.82 (step-pop @p461 :rule scope :premises (@p460)) % 0.63/0.82 (step-pop @p462 :rule scope :premises (@p461)) % 0.63/0.82 (step-pop @p463 :rule scope :premises (@p462)) % 0.63/0.82 (step @p352 :rule process_scope :premises (@p463) :args (@t195)) % 0.63/0.82 (step @p374 :rule implies_elim :premises (@p352)) % 0.63/0.82 (step @p375 :rule cnf_and_neg :args (@t196)) % 0.63/0.82 (step @p376 :rule resolution :premises (@p375 @p374) :args (true @t196)) % 0.63/0.82 (step @p377 :rule reordering :premises (@p376) :args ((or @t195 (not @t166) (not @t163) (not @t167) (not @t170) (not @t157) (not @t152) (not @t124) (not @t98) (not @t172) (not @t174) (not @t176) (not @t179) (not @t180) (not @t181) (not @t183) (not @t185) (not @t187) (not @t188) (not @t139) (not @t115) (not @t85)))) % 0.63/0.82 (step @p378 :rule chain_m_resolution :premises (@p377 @p259 @p250 @p241 @p240 @p239 @p229 @p177 @p112 @p219 @p218 @p217 @p216 @p215 @p214 @p213 @p209 @p208 @p204 @p203 @p193 @p128) :args (@t195 (@list false false false false false false false false false false false false false false false false false false false false false) (@list @t166 @t163 @t167 @t170 @t157 @t152 @t124 @t98 @t172 @t174 @t176 @t179 @t180 @t181 @t183 @t185 @t187 @t188 @t139 @t115 @t85))) % 0.63/0.82 (step @p379 :rule cnf_equiv_pos2 :args (@t197)) % 0.63/0.82 (step @p380 :rule reordering :premises (@p379) :args ((or @t66 (not @t195) (not @t197)))) % 0.63/0.82 (step @p381 :rule chain_m_resolution :premises (@p380 @p378 @p37) :args (@t66 @t90 (@list @t195 @t197))) % 0.63/0.82 (step @p382 :rule instantiate :premises (@p36) :args ((@list @t64 tptp.one))) % 0.63/0.82 (step @p383 :rule instantiate :premises (@p1) :args (@t75)) % 0.63/0.82 (step @p288 :rule symm :premises (@p240)) % 0.63/0.82 (step @p289 :rule symm :premises (@p218)) % 0.63/0.82 (step @p254 :rule instantiate :premises (@p2) :args (@t165)) % 0.63/0.82 (step @p292 :rule symm :premises (@p241)) % 0.63/0.82 (step @p245 :rule instantiate :premises (@p8) :args (@t162)) % 0.63/0.82 (step @p224 :rule instantiate :premises (@p8) :args (@t151)) % 0.63/0.82 (step @p293 :rule cong :premises (@p224 @p245) :args (@t177)) % 0.63/0.82 (step @p294 :rule symm :premises (@p204)) % 0.63/0.82 (step @p295 :rule symm :premises (@p217)) % 0.63/0.82 (step @p296 :rule cong :premises (@p214 @p295) :args (@t189)) % 0.63/0.82 (step @p297 :rule refl :args (@t134)) % 0.63/0.82 (step @p298 :rule cong :premises (@p297 @p217) :args (@t190)) % 0.63/0.82 (step @p299 :rule trans :premises (@p298 @p296)) % 0.63/0.82 (step @p300 :rule refl :args (@t54)) % 0.63/0.82 (step @p301 :rule cong :premises (@p214 @p300) :args (@t135)) % 0.63/0.82 (step @p302 :rule cong :premises (@p301 @p299) :args (@t191)) % 0.63/0.82 (step @p303 :rule symm :premises (@p298)) % 0.63/0.82 (step @p304 :rule symm :premises (@p296)) % 0.63/0.82 (step @p305 :rule refl :args (@t55)) % 0.63/0.82 (step @p306 :rule symm :premises (@p193)) % 0.63/0.82 (step @p307 :rule refl :args (@t56)) % 0.63/0.82 (step @p308 :rule cong :premises (@p307 @p306) :args (@t123)) % 0.63/0.82 (step @p309 :rule trans :premises (@p177 @p308)) % 0.63/0.82 (step @p310 :rule trans :premises (@p309 @p214)) % 0.63/0.82 (step @p311 :rule cong :premises (@p310 @p305) :args (@t192)) % 0.63/0.82 (step @p312 :rule symm :premises (@p128)) % 0.63/0.82 (step @p313 :rule refl :args (tptp.one)) % 0.63/0.82 (step @p314 :rule cong :premises (@p313 @p312) :args (@t186)) % 0.63/0.82 (step @p315 :rule trans :premises (@p208 @p314 @p311 @p304 @p303)) % 0.63/0.82 (step @p316 :rule trans :premises (@p215 @p203)) % 0.63/0.82 (step @p317 :rule symm :premises (@p215)) % 0.63/0.82 (step @p198 :rule instantiate :premises (@p9) :args (@t138)) % 0.63/0.82 (step @p318 :rule cong :premises (@p309 @p300) :args (@t184)) % 0.63/0.82 (step @p319 :rule trans :premises (@p209 @p318 @p198 @p317)) % 0.63/0.82 (step @p320 :rule trans :premises (@p319 @p316)) % 0.63/0.82 (step @p321 :rule cong :premises (@p320 @p315) :args (@t97)) % 0.63/0.82 (step @p322 :rule cong :premises (@p300 @p128) :args (@t142)) % 0.63/0.82 (step @p323 :rule trans :premises (@p322 @p321 @p302 @p294 @p216 @p293 @p292 @p254)) % 0.63/0.82 (step @p324 :rule symm :premises (@p309)) % 0.63/0.82 (step @p325 :rule cong :premises (@p324 @p323) :args (@t193)) % 0.63/0.82 (step @p326 :rule refl :args (@t142)) % 0.63/0.82 (step @p327 :rule cong :premises (@p309 @p326) :args (@t194)) % 0.63/0.82 (step @p328 :rule symm :premises (@p322)) % 0.63/0.82 (step @p329 :rule trans :premises (@p112 @p328)) % 0.63/0.82 (step @p330 :rule cong :premises (@p313 @p329) :args (@t182)) % 0.63/0.82 (step @p349 :rule trans :premises (@p213 @p330 @p327 @p325 @p240 @p218)) % 0.63/0.82 (step @p384 :rule trans :premises (@p349 @p289 @p288 @p383)) % 0.63/0.82 (step @p385 :rule cnf_equiv_pos2 :args (@t199)) % 0.63/0.82 (step @p386 :rule reordering :premises (@p385) :args ((or @t65 (not @t198) (not @t199)))) % 0.63/0.82 (step @p387 :rule chain_m_resolution :premises (@p386 @p384 @p382) :args (@t65 @t90 (@list @t198 @t199))) % 0.63/0.82 (step @p388 :rule cnf_and_neg :args (@t67)) % 0.63/0.82 (step @p389 false :rule chain_m_resolution :premises (@p388 @p387 @p381 @p31) :args (false (@list false false true) (@list @t65 @t66 @t67))) % 0.63/0.82 ) % 0.63/0.82 % SZS output end Proof % 0.63/0.82 % cvc5 exiting %------------------------------------------------------------------------------