%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE009+4 : 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 : n003.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 0.72s 0.96s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE009+4 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n003.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 05:09:29 EDT 2026 % 0.18/0.34 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.72/0.96 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.72/0.96 % SZS status Theorem % 0.72/0.96 % SZS output start Proof % 0.72/0.96 ( % 0.72/0.96 (declare-sort $$unsorted 0) % 0.72/0.96 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 0.72/0.96 (declare-const tptp.test (-> $$unsorted Bool)) % 0.72/0.96 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 0.72/0.96 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.96 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.72/0.96 (declare-const tptp.zero $$unsorted) % 0.72/0.96 (declare-const tptp.one $$unsorted) % 0.72/0.96 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.96 (define @t1 () (@var "A" $$unsorted)) % 0.72/0.96 (define @t2 () (@var "B" $$unsorted)) % 0.72/0.96 (define @t3 () (tptp.addition @t1 @t2)) % 0.72/0.96 (define @t4 () (@list @t1 @t2)) % 0.72/0.96 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.72/0.96 (define @t6 () (@var "C" $$unsorted)) % 0.72/0.96 (define @t7 () (tptp.addition @t2 @t6)) % 0.72/0.96 (define @t8 () (@list @t1)) % 0.72/0.96 (define @t9 () (tptp.addition @t1 @t1)) % 0.72/0.96 (define @t10 () (forall @t8 (= @t9 @t1))) % 0.72/0.96 (define @t11 () (tptp.multiplication @t1 @t2)) % 0.72/0.96 (define @t12 () (tptp.multiplication @t2 @t6)) % 0.72/0.96 (define @t13 () (@list @t1 @t2 @t6)) % 0.72/0.96 (define @t14 () (tptp.multiplication tptp.one @t1)) % 0.72/0.96 (define @t15 () (forall @t8 (= @t14 @t1))) % 0.72/0.96 (define @t16 () (tptp.multiplication @t1 @t6)) % 0.72/0.96 (define @t17 () (forall @t13 (= (tptp.multiplication @t3 @t6) (tptp.addition @t16 @t12)))) % 0.72/0.96 (define @t18 () (tptp.leq @t1 @t2)) % 0.72/0.96 (define @t19 () (= @t18 (= @t3 @t2))) % 0.72/0.96 (define @t20 () (forall @t4 @t19)) % 0.72/0.96 (define @t21 () (@var "X0" $$unsorted)) % 0.72/0.96 (define @t22 () (@var "X1" $$unsorted)) % 0.72/0.96 (define @t23 () (tptp.complement @t22 @t21)) % 0.72/0.96 (define @t24 () (@list @t22)) % 0.72/0.96 (define @t25 () (exists @t24 @t23)) % 0.72/0.96 (define @t26 () (tptp.test @t21)) % 0.72/0.96 (define @t27 () (= @t26 @t25)) % 0.72/0.96 (define @t28 () (@list @t21)) % 0.72/0.96 (define @t29 () (forall @t28 @t27)) % 0.72/0.96 (define @t30 () (tptp.addition @t21 @t22)) % 0.72/0.96 (define @t31 () (tptp.multiplication @t22 @t21)) % 0.72/0.96 (define @t32 () (tptp.multiplication @t21 @t22)) % 0.72/0.96 (define @t33 () (and (= @t32 tptp.zero) (= @t31 tptp.zero) (= @t30 tptp.one))) % 0.72/0.96 (define @t34 () (= @t23 @t33)) % 0.72/0.96 (define @t35 () (@list @t21 @t22)) % 0.72/0.96 (define @t36 () (forall @t35 @t34)) % 0.72/0.96 (define @t37 () (tptp.complement @t21 @t22)) % 0.72/0.96 (define @t38 () (tptp.c @t21)) % 0.72/0.96 (define @t39 () (= (= @t38 @t22) @t37)) % 0.72/0.96 (define @t40 () (=> @t26 @t39)) % 0.72/0.96 (define @t41 () (forall @t35 @t40)) % 0.72/0.96 (define @t42 () (not @t26)) % 0.72/0.96 (define @t43 () (tptp.c @t22)) % 0.72/0.96 (define @t44 () (tptp.multiplication @t38 @t43)) % 0.72/0.96 (define @t45 () (tptp.test @t22)) % 0.72/0.96 (define @t46 () (and @t26 @t45)) % 0.72/0.96 (define @t47 () (tptp.addition (tptp.addition (tptp.addition @t32 (tptp.multiplication @t21 @t43)) (tptp.multiplication @t38 @t22)) @t44)) % 0.72/0.96 (define @t48 () (and (tptp.leq tptp.one @t47) (tptp.leq @t47 tptp.one))) % 0.72/0.96 (define @t49 () (and @t45 @t26)) % 0.72/0.96 (define @t50 () (forall @t35 (=> @t49 @t48))) % 0.72/0.96 (define @t51 () (not @t50)) % 0.72/0.96 (define @t52 () (not @t45)) % 0.72/0.96 (define @t53 () (or @t52 @t42 @t48)) % 0.72/0.96 (define @t54 () (forall @t35 @t53)) % 0.72/0.96 (define @t55 () (@quantifiers_skolemize @t54 1)) % 0.72/0.96 (define @t56 () (tptp.c @t55)) % 0.72/0.96 (define @t57 () (@quantifiers_skolemize @t54 0)) % 0.72/0.96 (define @t58 () (tptp.c @t57)) % 0.72/0.96 (define @t59 () (tptp.multiplication @t58 @t56)) % 0.72/0.96 (define @t60 () (tptp.multiplication @t58 @t55)) % 0.72/0.96 (define @t61 () (tptp.multiplication @t57 @t56)) % 0.72/0.96 (define @t62 () (tptp.multiplication @t57 @t55)) % 0.72/0.96 (define @t63 () (tptp.addition @t62 @t61)) % 0.72/0.96 (define @t64 () (tptp.addition @t63 @t60)) % 0.72/0.96 (define @t65 () (tptp.addition @t64 @t59)) % 0.72/0.96 (define @t66 () (tptp.leq @t65 tptp.one)) % 0.72/0.96 (define @t67 () (tptp.leq tptp.one @t65)) % 0.72/0.96 (define @t68 () (and @t67 @t66)) % 0.72/0.96 (define @t69 () (tptp.test @t57)) % 0.72/0.96 (define @t70 () (not @t69)) % 0.72/0.96 (define @t71 () (tptp.test @t55)) % 0.72/0.96 (define @t72 () (not @t71)) % 0.72/0.96 (define @t73 () (or @t72 @t70 @t68)) % 0.72/0.96 (define @t74 () (@list true)) % 0.72/0.96 (define @t75 () (@list @t73)) % 0.72/0.96 (define @t76 () (@list tptp.one @t65)) % 0.72/0.96 (define @t77 () (= @t22 @t38)) % 0.72/0.96 (define @t78 () (= @t37 @t77)) % 0.72/0.96 (define @t79 () (forall @t24 (not (tptp.complement @t22 @t55)))) % 0.72/0.96 (define @t80 () (@quantifiers_skolemize @t79 0)) % 0.72/0.96 (define @t81 () (tptp.complement @t55 @t80)) % 0.72/0.96 (define @t82 () (= @t81 (= @t80 @t56))) % 0.72/0.96 (define @t83 () (or @t72 @t82)) % 0.72/0.96 (define @t84 () (forall @t35 (or @t42 @t78))) % 0.72/0.96 (define @t85 () (@list @t55 @t80)) % 0.72/0.96 (define @t86 () (= @t56 @t80)) % 0.72/0.96 (define @t87 () (= @t81 @t86)) % 0.72/0.96 (define @t88 () (or @t72 @t87)) % 0.72/0.96 (define @t89 () (@list false)) % 0.72/0.96 (define @t90 () (@list @t84)) % 0.72/0.96 (define @t91 () (@list false false)) % 0.72/0.96 (define @t92 () (@list @t55)) % 0.72/0.96 (define @t93 () (not @t79)) % 0.72/0.96 (define @t94 () (= @t71 @t93)) % 0.72/0.96 (define @t95 () (tptp.complement @t80 @t55)) % 0.72/0.96 (define @t96 () (not @t95)) % 0.72/0.96 (define @t97 () (not @t96)) % 0.72/0.96 (define @t98 () (tptp.addition @t55 @t80)) % 0.72/0.96 (define @t99 () (= tptp.one @t98)) % 0.72/0.96 (define @t100 () (= tptp.zero (tptp.multiplication @t80 @t55))) % 0.72/0.96 (define @t101 () (= tptp.zero (tptp.multiplication @t55 @t80))) % 0.72/0.96 (define @t102 () (and @t101 @t100 @t99)) % 0.72/0.96 (define @t103 () (= @t95 @t102)) % 0.72/0.96 (define @t104 () (not @t102)) % 0.72/0.96 (define @t105 () (@list @t102)) % 0.72/0.96 (define @t106 () (= tptp.one (tptp.addition @t80 @t55))) % 0.72/0.96 (define @t107 () (and @t100 @t101 @t106)) % 0.72/0.96 (define @t108 () (@list false false false)) % 0.72/0.96 (define @t109 () (= @t81 @t107)) % 0.72/0.96 (define @t110 () (forall @t24 (not (tptp.complement @t22 @t57)))) % 0.72/0.96 (define @t111 () (@quantifiers_skolemize @t110 0)) % 0.72/0.96 (define @t112 () (tptp.complement @t57 @t111)) % 0.72/0.96 (define @t113 () (= @t112 (= @t111 @t58))) % 0.72/0.96 (define @t114 () (or @t70 @t113)) % 0.72/0.96 (define @t115 () (@list @t57 @t111)) % 0.72/0.96 (define @t116 () (= @t58 @t111)) % 0.72/0.96 (define @t117 () (= @t112 @t116)) % 0.72/0.96 (define @t118 () (or @t70 @t117)) % 0.72/0.96 (define @t119 () (not @t110)) % 0.72/0.96 (define @t120 () (= @t69 @t119)) % 0.72/0.96 (define @t121 () (tptp.complement @t111 @t57)) % 0.72/0.96 (define @t122 () (not @t121)) % 0.72/0.96 (define @t123 () (not @t122)) % 0.72/0.96 (define @t124 () (tptp.addition @t57 @t111)) % 0.72/0.96 (define @t125 () (= tptp.one @t124)) % 0.72/0.96 (define @t126 () (= tptp.zero (tptp.multiplication @t111 @t57))) % 0.72/0.96 (define @t127 () (= tptp.zero (tptp.multiplication @t57 @t111))) % 0.72/0.96 (define @t128 () (and @t127 @t126 @t125)) % 0.72/0.96 (define @t129 () (= @t121 @t128)) % 0.72/0.96 (define @t130 () (not @t128)) % 0.72/0.96 (define @t131 () (@list @t128)) % 0.72/0.96 (define @t132 () (= tptp.one (tptp.addition @t111 @t57))) % 0.72/0.96 (define @t133 () (and @t126 @t127 @t132)) % 0.72/0.96 (define @t134 () (= @t112 @t133)) % 0.72/0.96 (define @t135 () (tptp.addition @t57 @t58)) % 0.72/0.96 (define @t136 () (tptp.multiplication @t135 @t56)) % 0.72/0.96 (define @t137 () (tptp.addition @t61 @t59)) % 0.72/0.96 (define @t138 () (= @t136 @t137)) % 0.72/0.96 (define @t139 () (@list @t57 @t58 @t56)) % 0.72/0.96 (define @t140 () (= @t137 @t136)) % 0.72/0.96 (define @t141 () (@list @t17)) % 0.72/0.96 (define @t142 () (@list tptp.one)) % 0.72/0.96 (define @t143 () (tptp.addition @t62 @t60)) % 0.72/0.96 (define @t144 () (tptp.addition @t59 @t61)) % 0.72/0.96 (define @t145 () (= @t137 @t144)) % 0.72/0.96 (define @t146 () (@list @t61 @t59)) % 0.72/0.96 (define @t147 () (= @t144 @t137)) % 0.72/0.96 (define @t148 () (@list @t5)) % 0.72/0.96 (define @t149 () (tptp.addition @t58 @t57)) % 0.72/0.96 (define @t150 () (tptp.multiplication @t149 @t55)) % 0.72/0.96 (define @t151 () (tptp.addition @t60 @t62)) % 0.72/0.96 (define @t152 () (= @t150 @t151)) % 0.72/0.96 (define @t153 () (@list @t58 @t57 @t55)) % 0.72/0.96 (define @t154 () (= @t151 @t150)) % 0.72/0.96 (define @t155 () (tptp.addition @t59 @t63)) % 0.72/0.96 (define @t156 () (@list @t155 @t60)) % 0.72/0.96 (define @t157 () (tptp.addition tptp.one @t64)) % 0.72/0.96 (define @t158 () (@list @t157 @t59)) % 0.72/0.96 (define @t159 () (= @t143 @t151)) % 0.72/0.96 (define @t160 () (= @t151 @t143)) % 0.72/0.96 (define @t161 () (@list @t60 @t63 @t59)) % 0.72/0.96 (define @t162 () (@list @t59 @t64 tptp.one)) % 0.72/0.96 (define @t163 () (tptp.addition @t61 @t62)) % 0.72/0.96 (define @t164 () (= @t63 @t163)) % 0.72/0.96 (define @t165 () (tptp.addition @t59 @t64)) % 0.72/0.96 (define @t166 () (= @t65 @t165)) % 0.72/0.96 (define @t167 () (tptp.addition @t157 @t59)) % 0.72/0.96 (define @t168 () (tptp.addition tptp.one @t65)) % 0.72/0.96 (define @t169 () (= @t168 @t167)) % 0.72/0.96 (define @t170 () (tptp.addition @t155 @t60)) % 0.72/0.96 (define @t171 () (= @t165 @t170)) % 0.72/0.96 (define @t172 () (tptp.addition @t163 @t60)) % 0.72/0.96 (define @t173 () (tptp.addition @t61 @t143)) % 0.72/0.96 (define @t174 () (= @t173 @t172)) % 0.72/0.96 (define @t175 () (tptp.addition @t59 @t157)) % 0.72/0.96 (define @t176 () (= @t167 @t175)) % 0.72/0.96 (define @t177 () (tptp.addition @t60 @t155)) % 0.72/0.96 (define @t178 () (= @t170 @t177)) % 0.72/0.96 (define @t179 () (tptp.addition @t144 @t143)) % 0.72/0.96 (define @t180 () (tptp.addition @t59 @t173)) % 0.72/0.96 (define @t181 () (= @t180 @t179)) % 0.72/0.96 (define @t182 () (= @t135 @t149)) % 0.72/0.96 (define @t183 () (= @t179 (tptp.addition @t143 @t144))) % 0.72/0.96 (define @t184 () (tptp.addition @t55 @t55)) % 0.72/0.96 (define @t185 () (= @t55 @t184)) % 0.72/0.96 (define @t186 () (tptp.addition tptp.one tptp.one)) % 0.72/0.96 (define @t187 () (= tptp.one @t186)) % 0.72/0.96 (define @t188 () (tptp.multiplication tptp.one @t55)) % 0.72/0.96 (define @t189 () (= @t55 @t188)) % 0.72/0.96 (define @t190 () (tptp.multiplication tptp.one @t56)) % 0.72/0.96 (define @t191 () (= @t56 @t190)) % 0.72/0.96 (define @t192 () (tptp.multiplication @t149 @t56)) % 0.72/0.96 (define @t193 () (tptp.addition @t55 @t56)) % 0.72/0.96 (define @t194 () (tptp.addition @t184 @t80)) % 0.72/0.96 (define @t195 () (= @t65 @t168)) % 0.72/0.96 (define @t196 () (and @t164 @t166 @t169 @t171 @t174 @t125 @t99 @t160 @t176 @t178 @t181 @t154 @t182 @t147 @t183 @t185 @t187 @t189 @t191 @t140 @t116 @t86)) % 0.72/0.96 (define @t197 () (= @t67 @t195)) % 0.72/0.96 (define @t198 () (= tptp.one (tptp.addition @t65 tptp.one))) % 0.72/0.96 (define @t199 () (= @t66 @t198)) % 0.72/0.96 (assume @p1 @t5) % 0.72/0.96 (assume @p2 (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 0.72/0.96 (assume @p3 (forall @t8 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.72/0.96 (assume @p4 @t10) % 0.72/0.96 (assume @p5 (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t6)))) % 0.72/0.96 (assume @p6 (forall @t8 (= (tptp.multiplication @t1 tptp.one) @t1))) % 0.72/0.96 (assume @p7 @t15) % 0.72/0.96 (assume @p8 (forall @t13 (= (tptp.multiplication @t1 @t7) (tptp.addition @t11 @t16)))) % 0.72/0.96 (assume @p9 @t17) % 0.72/0.96 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.72/0.96 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.72/0.96 (assume @p12 @t20) % 0.72/0.96 (assume @p13 @t29) % 0.72/0.96 (assume @p14 @t36) % 0.72/0.96 (assume @p15 @t41) % 0.72/0.96 (assume @p16 (forall @t28 (=> @t42 (= @t38 tptp.zero)))) % 0.72/0.96 (assume @p17 (forall @t35 (=> @t46 (= (tptp.c @t30) @t44)))) % 0.72/0.96 (assume @p18 (forall @t35 (=> @t46 (= (tptp.c @t32) (tptp.addition @t38 @t43))))) % 0.72/0.96 (assume @p19 @t51) % 0.72/0.96 (assume @p20 true) % 0.72/0.96 (step @p21 :rule aci_norm :args ((= (or (or @t52 @t42) @t48) @t53))) % 0.72/0.96 (step @p22 :rule refl :args (@t48)) % 0.72/0.96 (step @p23 :rule bool-and-de-morgan :args (@t45 @t26 true)) % 0.72/0.96 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t49) @t48))) % 0.72/0.96 (step @p25 :rule trans :premises (@p24 @p21)) % 0.72/0.96 (step @p26 :rule bool-impl-elim :args (@t49 @t48)) % 0.72/0.96 (step @p27 :rule trans :premises (@p26 @p25)) % 0.72/0.96 (step @p28 :rule cong :premises (@p27) :args (@t50)) % 0.72/0.96 (step @p29 :rule cong :premises (@p28) :args (@t51)) % 0.72/0.96 (step @p30 :rule eq_resolve :premises (@p19 @p29)) % 0.72/0.96 (step @p31 :rule skolemize :premises (@p30)) % 0.72/0.96 (step @p32 :rule cnf_or_neg :args (@t73 2)) % 0.72/0.96 (step @p33 :rule chain_m_resolution :premises (@p32 @p31) :args ((not @t68) @t74 @t75)) % 0.72/0.96 (step @p34 :rule eq-symm :args (@t3 @t2)) % 0.72/0.96 (step @p35 :rule refl :args (@t18)) % 0.72/0.96 (step @p36 :rule cong :premises (@p35 @p34) :args (@t19)) % 0.72/0.96 (step @p37 :rule cong :premises (@p36) :args (@t20)) % 0.72/0.96 (step @p38 :rule eq_resolve :premises (@p12 @p37)) % 0.72/0.96 (step @p39 :rule instantiate :premises (@p38) :args (@t76)) % 0.72/0.96 (step @p40 :rule bool-impl-elim :args (@t26 @t78)) % 0.72/0.96 (step @p41 :rule cong :premises (@p40) :args ((forall @t35 (=> @t26 @t78)))) % 0.72/0.96 (step @p42 :rule eq-symm :args (@t77 @t37)) % 0.72/0.96 (step @p43 :rule refl :args (@t37)) % 0.72/0.96 (step @p44 :rule eq-symm :args (@t38 @t22)) % 0.72/0.96 (step @p45 :rule cong :premises (@p44 @p43) :args (@t39)) % 0.72/0.96 (step @p46 :rule trans :premises (@p45 @p42)) % 0.72/0.96 (step @p47 :rule refl :args (@t26)) % 0.72/0.96 (step @p48 :rule cong :premises (@p47 @p46) :args (@t40)) % 0.72/0.96 (step @p49 :rule cong :premises (@p48) :args (@t41)) % 0.72/0.96 (step @p50 :rule trans :premises (@p49 @p41)) % 0.72/0.96 (step @p51 :rule eq_resolve :premises (@p15 @p50)) % 0.72/0.96 (step @p52 :rule eq-symm :args (@t80 @t56)) % 0.72/0.96 (step @p53 :rule refl :args (@t81)) % 0.72/0.96 (step @p54 :rule cong :premises (@p53 @p52) :args (@t82)) % 0.72/0.96 (step @p55 :rule refl :args (@t72)) % 0.72/0.96 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t83)) % 0.72/0.96 (step @p57 :rule refl :args (@t84)) % 0.72/0.96 (step @p58 :rule cong :premises (@p57 @p56) :args ((=> @t84 @t83))) % 0.72/0.96 (assume-push @p377 @t84) % 0.72/0.96 (step @p60 :rule instantiate :premises (@p51) :args (@t85)) % 0.72/0.96 (step-pop @p378 :rule scope :premises (@p60)) % 0.72/0.96 (step @p61 :rule process_scope :premises (@p378) :args (@t83)) % 0.72/0.96 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 0.72/0.96 (step @p64 :rule implies_elim :premises (@p63)) % 0.72/0.96 (step @p65 :rule chain_m_resolution :premises (@p64 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0.72/0.96 (step @p295 :rule symm :premises (@p216)) % 0.72/0.96 (step @p221 :rule instantiate :premises (@p1) :args (@t146)) % 0.72/0.96 (step @p200 :rule instantiate :premises (@p9) :args (@t139)) % 0.72/0.96 (step @p296 :rule refl :args (@t56)) % 0.72/0.96 (step @p297 :rule symm :premises (@p227)) % 0.72/0.96 (step @p298 :rule cong :premises (@p297 @p296) :args (@t192)) % 0.72/0.96 (step @p299 :rule symm :premises (@p195)) % 0.72/0.96 (step @p300 :rule refl :args (@t57)) % 0.72/0.96 (step @p301 :rule cong :premises (@p300 @p299) :args (@t124)) % 0.72/0.96 (step @p302 :rule trans :premises (@p179 @p301 @p227)) % 0.72/0.96 (step @p303 :rule cong :premises (@p302 @p296) :args (@t190)) % 0.72/0.96 (step @p304 :rule trans :premises (@p209 @p303 @p298 @p200 @p221)) % 0.72/0.96 (step @p231 :rule instantiate :premises (@p9) :args (@t153)) % 0.72/0.96 (step @p305 :rule refl :args (@t55)) % 0.72/0.96 (step @p306 :rule cong :premises (@p302 @p305) :args (@t188)) % 0.72/0.96 (step @p307 :rule trans :premises (@p210 @p306 @p231)) % 0.72/0.96 (step @p308 :rule trans :premises (@p307 @p248)) % 0.72/0.96 (step @p309 :rule cong :premises (@p308 @p304) :args (@t193)) % 0.72/0.96 (step @p310 :rule symm :premises (@p130)) % 0.72/0.96 (step @p311 :rule symm :premises (@p215)) % 0.72/0.96 (step @p312 :rule cong :premises (@p311 @p310) :args (@t194)) % 0.72/0.96 (step @p313 :rule refl :args (@t80)) % 0.72/0.96 (step @p314 :rule cong :premises (@p215 @p313) :args (@t98)) % 0.72/0.96 (step @p315 :rule trans :premises (@p114 @p314 @p312 @p309 @p295 @p294 @p293 @p287)) % 0.72/0.96 (step @p316 :rule refl :args (tptp.one)) % 0.72/0.96 (step @p317 :rule cong :premises (@p316 @p315) :args (@t186)) % 0.72/0.96 (step @p318 :rule instantiate :premises (@p213) :args (@t142)) % 0.72/0.96 (step @p319 :rule trans :premises (@p318 @p317 @p286 @p285)) % 0.72/0.96 (step @p320 :rule instantiate :premises (@p1) :args (@t156)) % 0.72/0.96 (step @p321 :rule instantiate :premises (@p2) :args (@t161)) % 0.72/0.96 (step @p322 :rule chain_m_resolution :premises (@p113 @p111) :args (@t99 @t89 @t105)) % 0.72/0.96 (step @p323 :rule trans :premises (@p322 @p314 @p312 @p309 @p295 @p294 @p293 @p321 @p320)) % 0.72/0.96 (step @p324 :rule symm :premises (@p323)) % 0.72/0.96 (step @p325 :rule trans :premises (@p252 @p250 @p238 @p324 @p319 @p284 @p283)) % 0.72/0.96 (step-pop @p422 :rule scope :premises (@p325)) % 0.72/0.96 (step-pop @p423 :rule scope :premises (@p422)) % 0.72/0.96 (step-pop @p424 :rule scope :premises (@p423)) % 0.72/0.96 (step-pop @p425 :rule scope :premises (@p424)) % 0.72/0.96 (step-pop @p426 :rule scope :premises (@p425)) % 0.72/0.96 (step-pop @p427 :rule scope :premises (@p426)) % 0.72/0.96 (step-pop @p428 :rule scope :premises (@p427)) % 0.72/0.96 (step @p326 :rule process_scope :premises (@p428) :args (@t195)) % 0.72/0.96 (step @p288 :rule refl :args (@t60)) % 0.72/0.96 (step @p289 :rule symm :premises (@p253)) % 0.72/0.96 (step @p290 :rule cong :premises (@p289 @p288) :args (@t172)) % 0.72/0.96 (step @p291 :rule trans :premises (@p249 @p290)) % 0.72/0.96 (step @p292 :rule refl :args (@t59)) % 0.72/0.96 (step @p293 :rule cong :premises (@p292 @p291) :args (@t180)) % 0.72/0.96 (step @p294 :rule symm :premises (@p237)) % 0.72/0.96 (step @p295 :rule symm :premises (@p216)) % 0.72/0.96 (step @p221 :rule instantiate :premises (@p1) :args (@t146)) % 0.72/0.96 (step @p200 :rule instantiate :premises (@p9) :args (@t139)) % 0.72/0.96 (step @p296 :rule refl :args (@t56)) % 0.72/0.96 (step @p297 :rule symm :premises (@p227)) % 0.72/0.96 (step @p298 :rule cong :premises (@p297 @p296) :args (@t192)) % 0.72/0.96 (step @p299 :rule symm :premises (@p195)) % 0.72/0.96 (step @p300 :rule refl :args (@t57)) % 0.72/0.96 (step @p301 :rule cong :premises (@p300 @p299) :args (@t124)) % 0.72/0.96 (step @p302 :rule trans :premises (@p179 @p301 @p227)) % 0.72/0.96 (step @p303 :rule cong :premises (@p302 @p296) :args (@t190)) % 0.72/0.96 (step @p304 :rule trans :premises (@p209 @p303 @p298 @p200 @p221)) % 0.72/0.96 (step @p231 :rule instantiate :premises (@p9) :args (@t153)) % 0.72/0.96 (step @p305 :rule refl :args (@t55)) % 0.72/0.96 (step @p306 :rule cong :premises (@p302 @p305) :args (@t188)) % 0.72/0.96 (step @p307 :rule trans :premises (@p210 @p306 @p231)) % 0.72/0.96 (step @p308 :rule trans :premises (@p307 @p248)) % 0.72/0.96 (step @p309 :rule cong :premises (@p308 @p304) :args (@t193)) % 0.72/0.96 (step @p310 :rule symm :premises (@p130)) % 0.72/0.96 (step @p311 :rule symm :premises (@p215)) % 0.72/0.96 (step @p312 :rule cong :premises (@p311 @p310) :args (@t194)) % 0.72/0.96 (step @p313 :rule refl :args (@t80)) % 0.72/0.96 (step @p314 :rule cong :premises (@p215 @p313) :args (@t98)) % 0.72/0.96 (step @p334 :rule trans :premises (@p114 @p314 @p312 @p309 @p295 @p294 @p293 @p250 @p238)) % 0.72/0.96 (step @p287 :rule symm :premises (@p252)) % 0.72/0.96 (step @p315 :rule trans :premises (@p114 @p314 @p312 @p309 @p295 @p294 @p293 @p287)) % 0.72/0.96 (step @p316 :rule refl :args (tptp.one)) % 0.72/0.96 (step @p317 :rule cong :premises (@p316 @p315) :args (@t186)) % 0.72/0.96 (step @p335 :rule trans :premises (@p214 @p317 @p251 @p239)) % 0.72/0.96 (step @p336 :rule and_intro :premises (@p251 @p239 @p335 @p334 @p238 @p250 @p252)) % 0.72/0.96 (step @p337 :rule modus_ponens :premises (@p336 @p326)) % 0.72/0.96 (step-pop @p429 :rule scope :premises (@p337)) % 0.72/0.96 (step-pop @p430 :rule scope :premises (@p429)) % 0.72/0.96 (step-pop @p431 :rule scope :premises (@p430)) % 0.72/0.96 (step-pop @p432 :rule scope :premises (@p431)) % 0.72/0.96 (step-pop @p433 :rule scope :premises (@p432)) % 0.72/0.96 (step-pop @p434 :rule scope :premises (@p433)) % 0.72/0.96 (step-pop @p435 :rule scope :premises (@p434)) % 0.72/0.96 (step-pop @p436 :rule scope :premises (@p435)) % 0.72/0.96 (step-pop @p437 :rule scope :premises (@p436)) % 0.72/0.96 (step-pop @p438 :rule scope :premises (@p437)) % 0.72/0.96 (step-pop @p439 :rule scope :premises (@p438)) % 0.72/0.96 (step-pop @p440 :rule scope :premises (@p439)) % 0.72/0.96 (step-pop @p441 :rule scope :premises (@p440)) % 0.72/0.96 (step-pop @p442 :rule scope :premises (@p441)) % 0.72/0.96 (step-pop @p443 :rule scope :premises (@p442)) % 0.72/0.96 (step-pop @p444 :rule scope :premises (@p443)) % 0.72/0.96 (step-pop @p445 :rule scope :premises (@p444)) % 0.72/0.96 (step-pop @p446 :rule scope :premises (@p445)) % 0.72/0.96 (step-pop @p447 :rule scope :premises (@p446)) % 0.72/0.96 (step-pop @p448 :rule scope :premises (@p447)) % 0.72/0.96 (step-pop @p449 :rule scope :premises (@p448)) % 0.72/0.96 (step-pop @p450 :rule scope :premises (@p449)) % 0.72/0.96 (step @p338 :rule process_scope :premises (@p450) :args (@t195)) % 0.72/0.96 (step @p361 :rule implies_elim :premises (@p338)) % 0.72/0.96 (step @p362 :rule cnf_and_neg :args (@t196)) % 0.72/0.96 (step @p363 :rule resolution :premises (@p362 @p361) :args (true @t196)) % 0.72/0.96 (step @p364 :rule reordering :premises (@p363) :args ((or @t195 (not @t164) (not @t166) (not @t169) (not @t171) (not @t174) (not @t125) (not @t99) (not @t160) (not @t176) (not @t178) (not @t181) (not @t154) (not @t182) (not @t147) (not @t183) (not @t185) (not @t187) (not @t189) (not @t191) (not @t140) (not @t116) (not @t86)))) % 0.72/0.96 (step @p365 :rule chain_m_resolution :premises (@p364 @p253 @p252 @p251 @p250 @p249 @p179 @p114 @p248 @p239 @p238 @p237 @p236 @p227 @p226 @p216 @p215 @p214 @p210 @p209 @p205 @p195 @p130) :args (@t195 (@list false false false false false false false false false false false false false false false false false false false false false false) (@list @t164 @t166 @t169 @t171 @t174 @t125 @t99 @t160 @t176 @t178 @t181 @t154 @t182 @t147 @t183 @t185 @t187 @t189 @t191 @t140 @t116 @t86))) % 0.72/0.96 (step @p366 :rule cnf_equiv_pos2 :args (@t197)) % 0.72/0.96 (step @p367 :rule reordering :premises (@p366) :args ((or @t67 (not @t195) (not @t197)))) % 0.72/0.96 (step @p368 :rule chain_m_resolution :premises (@p367 @p365 @p39) :args (@t67 @t91 (@list @t195 @t197))) % 0.72/0.96 (step @p369 :rule instantiate :premises (@p38) :args ((@list @t65 tptp.one))) % 0.72/0.96 (step @p370 :rule instantiate :premises (@p1) :args (@t76)) % 0.72/0.96 (step @p283 :rule symm :premises (@p251)) % 0.72/0.96 (step @p284 :rule symm :premises (@p239)) % 0.72/0.96 (step @p287 :rule symm :premises (@p252)) % 0.72/0.96 (step @p288 :rule refl :args (@t60)) % 0.72/0.96 (step @p289 :rule symm :premises (@p253)) % 0.72/0.96 (step @p290 :rule cong :premises (@p289 @p288) :args (@t172)) % 0.72/0.96 (step @p291 :rule trans :premises (@p249 @p290)) % 0.72/0.96 (step @p292 :rule refl :args (@t59)) % 0.72/0.96 (step @p293 :rule cong :premises (@p292 @p291) :args (@t180)) % 0.72/0.96 (step @p294 :rule symm :premises (@p237)) % 0.72/0.96 (step @p295 :rule symm :premises (@p216)) % 0.72/0.96 (step @p221 :rule instantiate :premises (@p1) :args (@t146)) % 0.72/0.96 (step @p200 :rule instantiate :premises (@p9) :args (@t139)) % 0.72/0.96 (step @p296 :rule refl :args (@t56)) % 0.72/0.97 (step @p297 :rule symm :premises (@p227)) % 0.72/0.97 (step @p298 :rule cong :premises (@p297 @p296) :args (@t192)) % 0.72/0.97 (step @p299 :rule symm :premises (@p195)) % 0.72/0.97 (step @p300 :rule refl :args (@t57)) % 0.72/0.97 (step @p301 :rule cong :premises (@p300 @p299) :args (@t124)) % 0.72/0.97 (step @p302 :rule trans :premises (@p179 @p301 @p227)) % 0.72/0.97 (step @p303 :rule cong :premises (@p302 @p296) :args (@t190)) % 0.72/0.97 (step @p304 :rule trans :premises (@p209 @p303 @p298 @p200 @p221)) % 0.72/0.97 (step @p231 :rule instantiate :premises (@p9) :args (@t153)) % 0.72/0.97 (step @p305 :rule refl :args (@t55)) % 0.72/0.97 (step @p306 :rule cong :premises (@p302 @p305) :args (@t188)) % 0.72/0.97 (step @p307 :rule trans :premises (@p210 @p306 @p231)) % 0.72/0.97 (step @p308 :rule trans :premises (@p307 @p248)) % 0.72/0.97 (step @p309 :rule cong :premises (@p308 @p304) :args (@t193)) % 0.72/0.97 (step @p310 :rule symm :premises (@p130)) % 0.72/0.97 (step @p311 :rule symm :premises (@p215)) % 0.72/0.97 (step @p312 :rule cong :premises (@p311 @p310) :args (@t194)) % 0.72/0.97 (step @p313 :rule refl :args (@t80)) % 0.72/0.97 (step @p314 :rule cong :premises (@p215 @p313) :args (@t98)) % 0.72/0.97 (step @p315 :rule trans :premises (@p114 @p314 @p312 @p309 @p295 @p294 @p293 @p287)) % 0.72/0.97 (step @p316 :rule refl :args (tptp.one)) % 0.72/0.97 (step @p317 :rule cong :premises (@p316 @p315) :args (@t186)) % 0.72/0.97 (step @p335 :rule trans :premises (@p214 @p317 @p251 @p239)) % 0.72/0.97 (step @p371 :rule trans :premises (@p335 @p284 @p283 @p370)) % 0.72/0.97 (step @p372 :rule cnf_equiv_pos2 :args (@t199)) % 0.72/0.97 (step @p373 :rule reordering :premises (@p372) :args ((or @t66 (not @t198) (not @t199)))) % 0.72/0.97 (step @p374 :rule chain_m_resolution :premises (@p373 @p371 @p369) :args (@t66 @t91 (@list @t198 @t199))) % 0.72/0.97 (step @p375 :rule cnf_and_neg :args (@t68)) % 0.72/0.97 (step @p376 false :rule chain_m_resolution :premises (@p375 @p374 @p368 @p33) :args (false (@list false false true) (@list @t66 @t67 @t68))) % 0.72/0.97 ) % 0.72/0.97 % SZS output end Proof % 0.72/0.97 % cvc5 exiting %------------------------------------------------------------------------------