%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO006-4 : TPTP v9.2.1. Released v1.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:09:00 AM UTC 2026 % Result : Unsatisfiable 0.54s 0.78s % Output : Proof 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO006-4 : TPTP v9.2.1. Released v1.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:35:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.54/0.78 % SZS status Unsatisfiable % 0.54/0.78 % SZS output start Proof % 0.54/0.79 ( % 0.54/0.79 (declare-sort $$unsorted 0) % 0.54/0.79 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.54/0.79 (declare-const tptp.a $$unsorted) % 0.54/0.79 (declare-const tptp.multiplicative_identity $$unsorted) % 0.54/0.79 (declare-const tptp.additive_identity $$unsorted) % 0.54/0.79 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.54/0.79 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.54/0.79 (define @t1 () (@var "X" $$unsorted)) % 0.54/0.79 (define @t2 () (@var "Y" $$unsorted)) % 0.54/0.79 (define @t3 () (tptp.add @t1 @t2)) % 0.54/0.79 (define @t4 () (@list @t1 @t2)) % 0.54/0.79 (define @t5 () (tptp.multiply @t1 @t2)) % 0.54/0.79 (define @t6 () (@var "Z" $$unsorted)) % 0.54/0.79 (define @t7 () (@list @t1 @t2 @t6)) % 0.54/0.79 (define @t8 () (tptp.add @t1 tptp.additive_identity)) % 0.54/0.79 (define @t9 () (@list @t1)) % 0.54/0.79 (define @t10 () (forall @t9 (= @t8 @t1))) % 0.54/0.79 (define @t11 () (tptp.multiply @t1 tptp.multiplicative_identity)) % 0.54/0.79 (define @t12 () (forall @t9 (= @t11 @t1))) % 0.54/0.79 (define @t13 () (tptp.inverse @t1)) % 0.54/0.79 (define @t14 () (tptp.add @t1 @t13)) % 0.54/0.79 (define @t15 () (forall @t9 (= @t14 tptp.multiplicative_identity))) % 0.54/0.79 (define @t16 () (tptp.multiply @t1 @t13)) % 0.54/0.79 (define @t17 () (forall @t9 (= @t16 tptp.additive_identity))) % 0.54/0.79 (define @t18 () (tptp.multiply tptp.a tptp.additive_identity)) % 0.54/0.79 (define @t19 () (@list tptp.additive_identity)) % 0.54/0.79 (define @t20 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 0.54/0.79 (define @t21 () (tptp.inverse tptp.additive_identity)) % 0.54/0.79 (define @t22 () (tptp.add @t21 @t21)) % 0.54/0.79 (define @t23 () (tptp.add tptp.multiplicative_identity tptp.additive_identity)) % 0.54/0.79 (define @t24 () (tptp.multiply @t23 tptp.multiplicative_identity)) % 0.54/0.79 (define @t25 () (tptp.add @t22 @t22)) % 0.54/0.79 (define @t26 () (tptp.add tptp.a tptp.a)) % 0.54/0.79 (define @t27 () (tptp.add tptp.additive_identity tptp.additive_identity)) % 0.54/0.79 (define @t28 () (tptp.add tptp.multiplicative_identity @t21)) % 0.54/0.79 (define @t29 () (tptp.add tptp.a tptp.additive_identity)) % 0.54/0.79 (define @t30 () (tptp.add @t26 @t23)) % 0.54/0.79 (define @t31 () (tptp.add @t25 tptp.additive_identity)) % 0.54/0.79 (define @t32 () (tptp.add @t25 tptp.a)) % 0.54/0.79 (define @t33 () (tptp.add tptp.a @t27)) % 0.54/0.79 (define @t34 () (tptp.add @t18 tptp.additive_identity)) % 0.54/0.79 (define @t35 () (tptp.inverse @t34)) % 0.54/0.79 (define @t36 () (tptp.multiply @t18 @t35)) % 0.54/0.79 (define @t37 () (tptp.multiply @t18 tptp.additive_identity)) % 0.54/0.79 (define @t38 () (tptp.add @t37 @t36)) % 0.54/0.79 (define @t39 () (tptp.add tptp.additive_identity @t35)) % 0.54/0.79 (define @t40 () (tptp.multiply @t18 @t39)) % 0.54/0.79 (define @t41 () (= @t40 @t38)) % 0.54/0.79 (define @t42 () (not @t41)) % 0.54/0.79 (define @t43 () (tptp.multiply @t34 @t35)) % 0.54/0.79 (define @t44 () (tptp.add tptp.additive_identity @t43)) % 0.54/0.79 (define @t45 () (= @t44 (tptp.multiply (tptp.add tptp.additive_identity @t34) @t39))) % 0.54/0.79 (define @t46 () (not @t45)) % 0.54/0.79 (define @t47 () (= tptp.additive_identity @t43)) % 0.54/0.79 (define @t48 () (not @t47)) % 0.54/0.79 (define @t49 () (tptp.multiply tptp.additive_identity @t18)) % 0.54/0.79 (define @t50 () (tptp.multiply tptp.additive_identity tptp.multiplicative_identity)) % 0.54/0.79 (define @t51 () (tptp.add tptp.multiplicative_identity @t18)) % 0.54/0.79 (define @t52 () (tptp.multiply tptp.additive_identity @t51)) % 0.54/0.79 (define @t53 () (= @t52 (tptp.add @t50 @t49))) % 0.54/0.79 (define @t54 () (not @t53)) % 0.54/0.79 (define @t55 () (= @t30 (tptp.multiply @t30 tptp.multiplicative_identity))) % 0.54/0.79 (define @t56 () (not @t55)) % 0.54/0.79 (define @t57 () (tptp.multiply @t33 tptp.a)) % 0.54/0.79 (define @t58 () (tptp.multiply @t33 tptp.additive_identity)) % 0.54/0.79 (define @t59 () (tptp.add @t58 @t57)) % 0.54/0.79 (define @t60 () (tptp.add tptp.additive_identity tptp.a)) % 0.54/0.79 (define @t61 () (= (tptp.multiply @t33 @t60) @t59)) % 0.54/0.79 (define @t62 () (not @t61)) % 0.54/0.79 (define @t63 () (tptp.multiply @t29 tptp.a)) % 0.54/0.79 (define @t64 () (tptp.add @t63 @t63)) % 0.54/0.79 (define @t65 () (tptp.multiply @t29 @t26)) % 0.54/0.79 (define @t66 () (= @t65 @t64)) % 0.54/0.79 (define @t67 () (not @t66)) % 0.54/0.79 (define @t68 () (tptp.add tptp.additive_identity @t18)) % 0.54/0.79 (define @t69 () (tptp.add tptp.additive_identity @t49)) % 0.54/0.79 (define @t70 () (= @t69 (tptp.multiply @t27 @t68))) % 0.54/0.79 (define @t71 () (not @t70)) % 0.54/0.79 (define @t72 () (tptp.add tptp.a @t33)) % 0.54/0.79 (define @t73 () (tptp.multiply @t72 @t72)) % 0.54/0.79 (define @t74 () (tptp.multiply @t33 @t33)) % 0.54/0.79 (define @t75 () (= (tptp.add tptp.a @t74) @t73)) % 0.54/0.79 (define @t76 () (not @t75)) % 0.54/0.79 (define @t77 () (tptp.multiply @t31 @t32)) % 0.54/0.79 (define @t78 () (tptp.multiply @t32 @t31)) % 0.54/0.79 (define @t79 () (= @t78 @t77)) % 0.54/0.79 (define @t80 () (not @t79)) % 0.54/0.79 (define @t81 () (tptp.multiply @t30 @t25)) % 0.54/0.79 (define @t82 () (= @t81 (tptp.multiply @t25 @t30))) % 0.54/0.79 (define @t83 () (not @t82)) % 0.54/0.79 (define @t84 () (= @t49 @t37)) % 0.54/0.79 (define @t85 () (not @t84)) % 0.54/0.79 (define @t86 () (= tptp.a @t29)) % 0.54/0.79 (define @t87 () (not @t86)) % 0.54/0.79 (define @t88 () (tptp.add @t25 @t26)) % 0.54/0.79 (define @t89 () (tptp.multiply @t88 @t88)) % 0.54/0.79 (define @t90 () (= (tptp.add @t25 (tptp.multiply @t26 @t26)) @t89)) % 0.54/0.79 (define @t91 () (not @t90)) % 0.54/0.79 (define @t92 () (tptp.multiply @t27 @t27)) % 0.54/0.79 (define @t93 () (= (tptp.add tptp.a @t92) @t74)) % 0.54/0.79 (define @t94 () (not @t93)) % 0.54/0.79 (define @t95 () (= (tptp.add @t25 @t18) @t78)) % 0.54/0.79 (define @t96 () (not @t95)) % 0.54/0.79 (define @t97 () (tptp.multiply @t26 @t29)) % 0.54/0.79 (define @t98 () (= @t97 @t65)) % 0.54/0.79 (define @t99 () (not @t98)) % 0.54/0.79 (define @t100 () (= @t60 @t29)) % 0.54/0.79 (define @t101 () (not @t100)) % 0.54/0.79 (define @t102 () (tptp.multiply @t23 @t28)) % 0.54/0.79 (define @t103 () (tptp.add @t26 @t102)) % 0.54/0.79 (define @t104 () (= @t103 (tptp.multiply @t30 (tptp.add @t26 @t28)))) % 0.54/0.79 (define @t105 () (not @t104)) % 0.54/0.79 (define @t106 () (tptp.add tptp.a @t18)) % 0.54/0.79 (define @t107 () (= @t106 @t97)) % 0.54/0.79 (define @t108 () (not @t107)) % 0.54/0.79 (define @t109 () (tptp.add @t18 @t27)) % 0.54/0.79 (define @t110 () (tptp.add @t18 @t92)) % 0.54/0.79 (define @t111 () (= @t110 (tptp.multiply @t109 @t109))) % 0.54/0.79 (define @t112 () (not @t111)) % 0.54/0.79 (define @t113 () (tptp.add @t26 @t25)) % 0.54/0.79 (define @t114 () (= @t113 @t88)) % 0.54/0.79 (define @t115 () (not @t114)) % 0.54/0.79 (define @t116 () (= @t18 @t34)) % 0.54/0.79 (define @t117 () (not @t116)) % 0.54/0.79 (define @t118 () (tptp.multiply tptp.additive_identity @t25)) % 0.54/0.79 (define @t119 () (tptp.multiply tptp.additive_identity @t26)) % 0.54/0.79 (define @t120 () (tptp.add @t119 @t118)) % 0.54/0.79 (define @t121 () (= (tptp.multiply tptp.additive_identity @t113) @t120)) % 0.54/0.79 (define @t122 () (not @t121)) % 0.54/0.79 (define @t123 () (tptp.multiply @t23 @t22)) % 0.54/0.79 (define @t124 () (tptp.add @t24 @t123)) % 0.54/0.79 (define @t125 () (tptp.add tptp.multiplicative_identity @t22)) % 0.54/0.79 (define @t126 () (tptp.multiply @t23 @t125)) % 0.54/0.79 (define @t127 () (= @t126 @t124)) % 0.54/0.79 (define @t128 () (not @t127)) % 0.54/0.79 (define @t129 () (tptp.add @t24 @t21)) % 0.54/0.79 (define @t130 () (tptp.add @t24 (tptp.multiply @t23 @t21))) % 0.54/0.79 (define @t131 () (= @t130 (tptp.multiply (tptp.add @t24 @t23) @t129))) % 0.54/0.79 (define @t132 () (not @t131)) % 0.54/0.79 (define @t133 () (tptp.add @t18 tptp.a)) % 0.54/0.79 (define @t134 () (= @t133 @t106)) % 0.54/0.79 (define @t135 () (not @t134)) % 0.54/0.79 (define @t136 () (= @t34 @t68)) % 0.54/0.79 (define @t137 () (not @t136)) % 0.54/0.79 (define @t138 () (tptp.add @t22 tptp.multiplicative_identity)) % 0.54/0.79 (define @t139 () (= @t125 @t138)) % 0.54/0.79 (define @t140 () (not @t139)) % 0.54/0.79 (define @t141 () (tptp.add @t21 tptp.additive_identity)) % 0.54/0.79 (define @t142 () (= @t21 @t141)) % 0.54/0.79 (define @t143 () (not @t142)) % 0.54/0.79 (define @t144 () (tptp.multiply tptp.additive_identity tptp.a)) % 0.54/0.79 (define @t145 () (tptp.add @t144 @t144)) % 0.54/0.79 (define @t146 () (= @t119 @t145)) % 0.54/0.79 (define @t147 () (not @t146)) % 0.54/0.79 (define @t148 () (tptp.multiply tptp.additive_identity @t22)) % 0.54/0.79 (define @t149 () (tptp.add @t148 @t148)) % 0.54/0.79 (define @t150 () (= @t118 @t149)) % 0.54/0.79 (define @t151 () (not @t150)) % 0.54/0.79 (define @t152 () (= @t102 @t130)) % 0.54/0.79 (define @t153 () (not @t152)) % 0.54/0.79 (define @t154 () (tptp.add @t18 @t18)) % 0.54/0.79 (define @t155 () (= @t154 (tptp.multiply @t133 @t34))) % 0.54/0.79 (define @t156 () (not @t155)) % 0.54/0.79 (define @t157 () (= (tptp.add tptp.multiplicative_identity @t148) @t126)) % 0.54/0.79 (define @t158 () (not @t157)) % 0.54/0.79 (define @t159 () (tptp.add @t21 tptp.multiplicative_identity)) % 0.54/0.79 (define @t160 () (= @t28 @t159)) % 0.54/0.79 (define @t161 () (not @t160)) % 0.54/0.79 (define @t162 () (= tptp.multiplicative_identity @t23)) % 0.54/0.79 (define @t163 () (not @t162)) % 0.54/0.79 (define @t164 () (tptp.multiply tptp.additive_identity @t21)) % 0.54/0.79 (define @t165 () (tptp.add @t164 @t164)) % 0.54/0.79 (define @t166 () (= @t148 @t165)) % 0.54/0.79 (define @t167 () (not @t166)) % 0.54/0.79 (define @t168 () (tptp.add @t20 @t164)) % 0.54/0.79 (define @t169 () (tptp.add tptp.additive_identity @t21)) % 0.54/0.79 (define @t170 () (= (tptp.multiply tptp.additive_identity @t169) @t168)) % 0.54/0.79 (define @t171 () (not @t170)) % 0.54/0.79 (define @t172 () (tptp.multiply tptp.a @t27)) % 0.54/0.79 (define @t173 () (= @t172 @t154)) % 0.54/0.79 (define @t174 () (not @t173)) % 0.54/0.79 (define @t175 () (tptp.add tptp.multiplicative_identity @t164)) % 0.54/0.79 (define @t176 () (= @t175 @t102)) % 0.54/0.79 (define @t177 () (not @t176)) % 0.54/0.79 (define @t178 () (= @t169 @t141)) % 0.54/0.79 (define @t179 () (not @t178)) % 0.54/0.79 (define @t180 () (tptp.add tptp.additive_identity @t20)) % 0.54/0.79 (define @t181 () (= @t180 (tptp.add @t20 tptp.additive_identity))) % 0.54/0.79 (define @t182 () (not @t181)) % 0.54/0.79 (define @t183 () (= tptp.additive_identity @t164)) % 0.54/0.79 (define @t184 () (not @t183)) % 0.54/0.79 (define @t185 () (= tptp.multiplicative_identity @t169)) % 0.54/0.79 (define @t186 () (not @t185)) % 0.54/0.79 (define @t187 () (= tptp.additive_identity @t50)) % 0.54/0.79 (define @t188 () (not @t187)) % 0.54/0.79 (define @t189 () (= tptp.additive_identity @t27)) % 0.54/0.79 (define @t190 () (not @t189)) % 0.54/0.79 (define @t191 () (= @t180 @t92)) % 0.54/0.79 (define @t192 () (not @t191)) % 0.54/0.79 (define @t193 () (= @t18 @t144)) % 0.54/0.79 (define @t194 () (not @t193)) % 0.54/0.79 (define @t195 () (= tptp.additive_identity @t18)) % 0.54/0.79 (define @t196 () (not @t195)) % 0.54/0.79 (define @t197 () (tptp.multiply @t34 @t18)) % 0.54/0.79 (define @t198 () (tptp.multiply @t133 @t18)) % 0.54/0.79 (define @t199 () (and @t196 @t193 @t191 @t189 @t187 @t185 @t183 @t181 @t178 @t176 @t173 @t170 @t166 @t162 @t160 @t157 @t155 @t152 @t150 @t146 @t142 @t139 @t136 @t134 @t131 @t127 @t121 @t116 @t114 @t111 @t107 @t104 @t100 @t98 @t95 @t93 @t90 @t86 @t84 @t82 @t79 @t75 @t70 @t66 @t61 @t55 @t53 @t47 @t45)) % 0.54/0.79 (assume @p1 (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 0.54/0.79 (assume @p2 (forall @t4 (= @t5 (tptp.multiply @t2 @t1)))) % 0.54/0.79 (assume @p3 (forall @t7 (= (tptp.add @t1 (tptp.multiply @t2 @t6)) (tptp.multiply @t3 (tptp.add @t1 @t6))))) % 0.54/0.79 (assume @p4 (forall @t7 (= (tptp.multiply @t1 (tptp.add @t2 @t6)) (tptp.add @t5 (tptp.multiply @t1 @t6))))) % 0.54/0.79 (assume @p5 @t10) % 0.54/0.79 (assume @p6 @t12) % 0.54/0.79 (assume @p7 @t15) % 0.54/0.79 (assume @p8 @t17) % 0.54/0.79 (assume @p9 (not (= @t18 tptp.additive_identity))) % 0.54/0.79 (step @p10 :rule symm :premises (@p9)) % 0.54/0.79 (step @p11 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.additive_identity))) % 0.54/0.79 (step @p12 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.additive_identity tptp.additive_identity))) % 0.54/0.79 (step @p13 :rule eq-symm :args (@t8 @t1)) % 0.54/0.79 (step @p14 :rule cong :premises (@p13) :args (@t10)) % 0.54/0.79 (step @p15 :rule eq_resolve :premises (@p5 @p14)) % 0.54/0.79 (step @p16 :rule instantiate :premises (@p15) :args (@t19)) % 0.54/0.79 (step @p17 :rule eq-symm :args (@t11 @t1)) % 0.54/0.79 (step @p18 :rule cong :premises (@p17) :args (@t12)) % 0.54/0.79 (step @p19 :rule eq_resolve :premises (@p6 @p18)) % 0.54/0.79 (step @p20 :rule instantiate :premises (@p19) :args (@t19)) % 0.54/0.79 (step @p21 :rule eq-symm :args (@t14 tptp.multiplicative_identity)) % 0.54/0.79 (step @p22 :rule cong :premises (@p21) :args (@t15)) % 0.54/0.79 (step @p23 :rule eq_resolve :premises (@p7 @p22)) % 0.54/0.79 (step @p24 :rule instantiate :premises (@p23) :args (@t19)) % 0.54/0.79 (step @p25 :rule eq-symm :args (@t16 tptp.additive_identity)) % 0.54/0.79 (step @p26 :rule cong :premises (@p25) :args (@t17)) % 0.54/0.79 (step @p27 :rule eq_resolve :premises (@p8 @p26)) % 0.54/0.79 (step @p28 :rule instantiate :premises (@p27) :args (@t19)) % 0.54/0.79 (step @p29 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity @t20))) % 0.54/0.79 (step @p30 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity @t21))) % 0.54/0.79 (step @p31 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity tptp.additive_identity @t21))) % 0.54/0.79 (step @p32 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.additive_identity tptp.additive_identity))) % 0.54/0.79 (step @p33 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity tptp.additive_identity @t21))) % 0.54/0.79 (step @p34 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity @t21 @t21))) % 0.54/0.79 (step @p35 :rule instantiate :premises (@p15) :args ((@list tptp.multiplicative_identity))) % 0.54/0.79 (step @p36 :rule instantiate :premises (@p1) :args ((@list tptp.multiplicative_identity @t21))) % 0.54/0.79 (step @p37 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity tptp.additive_identity @t22))) % 0.54/0.79 (step @p38 :rule instantiate :premises (@p3) :args ((@list @t18 tptp.a tptp.additive_identity))) % 0.54/0.79 (step @p39 :rule instantiate :premises (@p4) :args ((@list @t23 tptp.multiplicative_identity @t21))) % 0.54/0.79 (step @p40 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity @t22 @t22))) % 0.54/0.79 (step @p41 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity tptp.a tptp.a))) % 0.54/0.79 (step @p42 :rule instantiate :premises 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:rule trans :premises (@p297 @p295)) % 0.54/0.79 (step @p299 :rule cong :premises (@p298 @p294) :args (@t59)) % 0.54/0.79 (step @p300 :rule symm :premises (@p54)) % 0.54/0.79 (step @p301 :rule trans :premises (@p256 @p300)) % 0.54/0.79 (step @p302 :rule cong :premises (@p292 @p301) :args (@t74)) % 0.54/0.79 (step @p303 :rule trans :premises (@p256 @p266 @p57 @p302 @p66 @p299 @p291 @p284 @p45 @p52 @p55 @p65 @p275 @p268 @p63 @p259)) % 0.54/0.79 (step @p304 :rule refl :args (@t25)) % 0.54/0.79 (step @p305 :rule cong :premises (@p304 @p303) :args ((tptp.add @t25 @t33))) % 0.54/0.79 (step @p306 :rule cong :premises (@p304 @p271) :args (@t32)) % 0.54/0.79 (step @p307 :rule trans :premises (@p306 @p305 @p58 @p254 @p248 @p247 @p245)) % 0.54/0.79 (step @p308 :rule symm :premises (@p241)) % 0.54/0.79 (step @p309 :rule trans :premises (@p241 @p192)) % 0.54/0.79 (step @p310 :rule cong :premises (@p309 @p263) :args (@t31)) % 0.54/0.79 (step @p311 :rule trans :premises (@p310 @p214 @p213)) % 0.54/0.79 (step @p312 :rule trans :premises (@p311 @p308)) % 0.54/0.79 (step @p313 :rule cong :premises (@p312 @p307) :args (@t77)) % 0.54/0.79 (step @p314 :rule cong :premises (@p308 @p277) :args (@t51)) % 0.54/0.79 (step @p315 :rule trans :premises (@p314 @p56 @p62 @p313 @p244 @p243 @p231 @p230)) % 0.54/0.79 (step @p316 :rule cong :premises (@p263 @p315) :args (@t52)) % 0.54/0.79 (step @p317 :rule symm :premises (@p68)) % 0.54/0.79 (step @p318 :rule refl :args (@t49)) % 0.54/0.79 (step @p319 :rule cong :premises (@p20 @p318) :args (@t69)) % 0.54/0.79 (step @p320 :rule symm :premises (@p64)) % 0.54/0.79 (step @p321 :rule trans :premises (@p49 @p44)) % 0.54/0.79 (step @p322 :rule cong :premises (@p16 @p321) :args (@t49)) % 0.54/0.79 (step @p323 :rule symm :premises (@p60)) % 0.54/0.79 (step @p324 :rule trans :premises (@p323 @p322 @p320 @p319 @p317 @p316 @p48 @p190 @p173)) % 0.54/0.79 (step @p325 :rule cong :premises (@p324 @p177) :args (@t38)) % 0.54/0.79 (step @p326 :rule trans :premises (@p325 @p173)) % 0.54/0.79 (step @p327 :rule cong :premises (@p263 @p174) :args (@t44)) % 0.54/0.79 (step @p328 :rule symm :premises (@p70)) % 0.54/0.79 (step @p329 :rule refl :args (@t39)) % 0.54/0.79 (step @p330 :rule cong :premises (@p263 @p49) :args (@t68)) % 0.54/0.79 (step @p331 :rule trans :premises (@p44 @p330)) % 0.54/0.79 (step @p332 :rule trans :premises (@p49 @p331)) % 0.54/0.79 (step @p333 :rule cong :premises (@p332 @p329) :args (@t40)) % 0.54/0.79 (step @p334 :rule trans :premises (@p333 @p328 @p327 @p178)) % 0.54/0.79 (step @p335 :rule cong :premises (@p334 @p326) :args (@t41)) % 0.54/0.79 (step @p336 :rule trans :premises (@p335 @p172)) % 0.54/0.79 (step @p337 :rule false_elim :premises (@p336)) % 0.54/0.79 (step-pop @p442 :rule scope :premises (@p337)) % 0.54/0.79 (step-pop @p443 :rule scope :premises (@p442)) % 0.54/0.79 (step-pop @p444 :rule scope :premises (@p443)) % 0.54/0.79 (step-pop @p445 :rule scope :premises (@p444)) % 0.54/0.79 (step-pop @p446 :rule scope :premises (@p445)) % 0.54/0.79 (step-pop @p447 :rule scope :premises (@p446)) % 0.54/0.79 (step-pop @p448 :rule scope :premises (@p447)) % 0.54/0.79 (step-pop @p449 :rule scope :premises (@p448)) % 0.54/0.79 (step-pop @p450 :rule scope :premises (@p449)) % 0.54/0.79 (step-pop @p451 :rule scope :premises (@p450)) % 0.54/0.79 (step-pop @p452 :rule scope :premises (@p451)) % 0.54/0.79 (step-pop @p453 :rule scope :premises (@p452)) % 0.54/0.79 (step-pop @p454 :rule scope :premises (@p453)) % 0.54/0.79 (step-pop @p455 :rule scope :premises (@p454)) % 0.54/0.79 (step-pop @p456 :rule scope :premises (@p455)) % 0.54/0.79 (step-pop @p457 :rule scope :premises (@p456)) % 0.54/0.79 (step-pop @p458 :rule scope :premises (@p457)) % 0.54/0.79 (step-pop @p459 :rule scope :premises (@p458)) % 0.54/0.79 (step-pop @p460 :rule scope :premises (@p459)) % 0.54/0.79 (step-pop @p461 :rule scope :premises (@p460)) % 0.54/0.79 (step-pop @p462 :rule scope :premises (@p461)) % 0.54/0.79 (step-pop @p463 :rule scope :premises (@p462)) % 0.54/0.79 (step-pop @p464 :rule scope :premises (@p463)) % 0.54/0.79 (step-pop @p465 :rule scope :premises (@p464)) % 0.54/0.79 (step-pop @p466 :rule scope :premises (@p465)) % 0.54/0.79 (step-pop @p467 :rule scope :premises (@p466)) % 0.54/0.79 (step-pop @p468 :rule scope :premises (@p467)) % 0.54/0.79 (step-pop @p469 :rule scope :premises (@p468)) % 0.54/0.79 (step-pop @p470 :rule scope :premises (@p469)) % 0.54/0.79 (step-pop @p471 :rule scope :premises (@p470)) % 0.54/0.79 (step-pop @p472 :rule scope :premises (@p471)) % 0.54/0.79 (step-pop @p473 :rule scope :premises (@p472)) % 0.54/0.79 (step-pop @p474 :rule scope :premises (@p473)) % 0.54/0.79 (step-pop @p475 :rule scope :premises (@p474)) % 0.54/0.79 (step-pop @p476 :rule scope :premises (@p475)) % 0.54/0.79 (step-pop @p477 :rule scope :premises (@p476)) % 0.54/0.79 (step-pop @p478 :rule scope :premises (@p477)) % 0.54/0.79 (step-pop @p479 :rule scope :premises (@p478)) % 0.54/0.79 (step-pop @p480 :rule scope :premises (@p479)) % 0.54/0.79 (step-pop @p481 :rule scope :premises (@p480)) % 0.54/0.79 (step-pop @p482 :rule scope :premises (@p481)) % 0.54/0.79 (step-pop @p483 :rule scope :premises (@p482)) % 0.54/0.79 (step-pop @p484 :rule scope :premises (@p483)) % 0.54/0.79 (step-pop @p485 :rule scope :premises (@p484)) % 0.54/0.79 (step-pop @p486 :rule scope :premises (@p485)) % 0.54/0.79 (step-pop @p487 :rule scope :premises (@p486)) % 0.54/0.79 (step-pop @p488 :rule scope :premises (@p487)) % 0.54/0.79 (step-pop @p489 :rule scope :premises (@p488)) % 0.54/0.79 (step-pop @p490 :rule scope :premises (@p489)) % 0.54/0.79 (step @p338 :rule process_scope :premises (@p490) :args (@t42)) % 0.54/0.79 (step @p388 :rule implies_elim :premises (@p338)) % 0.54/0.79 (step @p389 :rule cnf_and_neg :args (@t199)) % 0.54/0.79 (step @p390 :rule resolution :premises (@p389 @p388) :args (true @t199)) % 0.54/0.79 (step @p391 :rule eq_resolve :premises (@p390 @p122)) % 0.54/0.79 (step @p392 false :rule chain_m_resolution :premises (@p391 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p24 @p20 @p16 @p12 @p11 @p10) :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 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 @t41 @t45 @t47 @t53 @t55 @t61 @t66 @t70 @t75 @t79 @t82 @t84 @t86 @t90 @t93 @t95 @t98 @t100 @t104 @t107 @t111 @t114 @t116 @t121 @t127 @t131 @t134 @t136 @t139 @t142 @t146 @t150 @t152 @t155 @t157 @t160 @t162 @t166 @t170 @t173 @t176 @t178 @t181 @t183 @t185 @t187 @t189 @t191 @t193 @t195))) % 0.54/0.79 ) % 0.54/0.79 % SZS output end Proof % 0.54/0.79 % cvc5 exiting %------------------------------------------------------------------------------