%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE170+1.004 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:28:27 AM UTC 2026 % Result : Theorem 2.85s 3.09s % Output : Proof 2.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE170+1.004 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n026.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 05:24:25 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 2.85/3.09 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.85/3.09 % SZS status Theorem % 2.85/3.09 % SZS output start Proof % 2.85/3.09 ( % 2.85/3.09 (declare-sort $$unsorted 0) % 2.85/3.09 (declare-const tptp.a $$unsorted) % 2.85/3.09 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 2.85/3.09 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 2.85/3.09 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 2.85/3.09 (declare-const tptp.zero $$unsorted) % 2.85/3.09 (declare-const tptp.one $$unsorted) % 2.85/3.09 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 2.85/3.09 (define @t1 () (@var "A" $$unsorted)) % 2.85/3.09 (define @t2 () (@var "B" $$unsorted)) % 2.85/3.09 (define @t3 () (tptp.addition @t1 @t2)) % 2.85/3.09 (define @t4 () (@list @t1 @t2)) % 2.85/3.09 (define @t5 () (@var "C" $$unsorted)) % 2.85/3.09 (define @t6 () (tptp.addition @t2 @t5)) % 2.85/3.09 (define @t7 () (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 2.85/3.09 (define @t8 () (@list @t1)) % 2.85/3.09 (define @t9 () (tptp.addition @t1 @t1)) % 2.85/3.09 (define @t10 () (forall @t8 (= @t9 @t1))) % 2.85/3.09 (define @t11 () (tptp.multiplication @t1 @t2)) % 2.85/3.09 (define @t12 () (tptp.multiplication @t2 @t5)) % 2.85/3.09 (define @t13 () (@list @t1 @t2 @t5)) % 2.85/3.09 (define @t14 () (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t5)))) % 2.85/3.09 (define @t15 () (tptp.multiplication @t1 tptp.one)) % 2.85/3.09 (define @t16 () (forall @t8 (= @t15 @t1))) % 2.85/3.09 (define @t17 () (tptp.multiplication tptp.one @t1)) % 2.85/3.09 (define @t18 () (forall @t8 (= @t17 @t1))) % 2.85/3.09 (define @t19 () (tptp.multiplication @t1 @t5)) % 2.85/3.09 (define @t20 () (tptp.leq @t1 @t2)) % 2.85/3.09 (define @t21 () (= @t20 (= @t3 @t2))) % 2.85/3.09 (define @t22 () (forall @t4 @t21)) % 2.85/3.09 (define @t23 () (tptp.star @t1)) % 2.85/3.09 (define @t24 () (tptp.leq (tptp.multiplication @t23 @t5) @t2)) % 2.85/3.09 (define @t25 () (tptp.addition @t11 @t5)) % 2.85/3.09 (define @t26 () (tptp.leq @t25 @t2)) % 2.85/3.09 (define @t27 () (forall @t13 (=> @t26 @t24))) % 2.85/3.09 (define @t28 () (tptp.leq (tptp.multiplication @t5 (tptp.star @t2)) @t1)) % 2.85/3.09 (define @t29 () (tptp.leq @t25 @t1)) % 2.85/3.09 (define @t30 () (forall @t13 (=> @t29 @t28))) % 2.85/3.09 (define @t31 () (tptp.star tptp.a)) % 2.85/3.09 (define @t32 () (tptp.multiplication tptp.a tptp.a)) % 2.85/3.09 (define @t33 () (tptp.multiplication tptp.a @t32)) % 2.85/3.09 (define @t34 () (tptp.multiplication tptp.a @t33)) % 2.85/3.09 (define @t35 () (tptp.leq @t34 @t31)) % 2.85/3.09 (define @t36 () (tptp.multiplication @t31 tptp.a)) % 2.85/3.09 (define @t37 () (tptp.addition tptp.one @t36)) % 2.85/3.09 (define @t38 () (@list @t37 @t31)) % 2.85/3.09 (define @t39 () (@list tptp.a)) % 2.85/3.09 (define @t40 () (tptp.addition @t37 @t31)) % 2.85/3.09 (define @t41 () (= @t31 @t40)) % 2.85/3.09 (define @t42 () (tptp.leq @t37 @t31)) % 2.85/3.09 (define @t43 () (= @t42 @t41)) % 2.85/3.09 (define @t44 () (@list false false)) % 2.85/3.09 (define @t45 () (tptp.addition @t36 @t31)) % 2.85/3.09 (define @t46 () (tptp.addition tptp.one @t45)) % 2.85/3.09 (define @t47 () (= @t46 @t40)) % 2.85/3.09 (define @t48 () (@list @t31 @t36 tptp.one)) % 2.85/3.09 (define @t49 () (= @t40 @t46)) % 2.85/3.09 (define @t50 () (@list false)) % 2.85/3.09 (define @t51 () (@list @t7)) % 2.85/3.09 (define @t52 () (tptp.addition @t34 @t31)) % 2.85/3.09 (define @t53 () (tptp.multiplication @t37 tptp.a)) % 2.85/3.09 (define @t54 () (tptp.addition @t37 @t37)) % 2.85/3.09 (define @t55 () (tptp.addition @t34 @t37)) % 2.85/3.09 (define @t56 () (tptp.addition @t31 @t33)) % 2.85/3.09 (define @t57 () (tptp.addition @t34 @t56)) % 2.85/3.09 (define @t58 () (tptp.addition @t52 @t33)) % 2.85/3.09 (define @t59 () (= @t57 @t58)) % 2.85/3.09 (define @t60 () (@list @t33 @t31 @t34)) % 2.85/3.09 (define @t61 () (= @t58 @t57)) % 2.85/3.09 (define @t62 () (tptp.addition @t36 @t37)) % 2.85/3.09 (define @t63 () (tptp.addition tptp.one @t62)) % 2.85/3.09 (define @t64 () (= @t63 @t54)) % 2.85/3.09 (define @t65 () (= @t54 @t63)) % 2.85/3.09 (define @t66 () (@list @t37)) % 2.85/3.09 (define @t67 () (@list @t31)) % 2.85/3.09 (define @t68 () (tptp.multiplication @t31 tptp.one)) % 2.85/3.09 (define @t69 () (tptp.multiplication tptp.a @t31)) % 2.85/3.09 (define @t70 () (tptp.leq (tptp.addition @t69 tptp.one) @t31)) % 2.85/3.09 (define @t71 () (tptp.leq @t68 @t31)) % 2.85/3.09 (define @t72 () (not @t70)) % 2.85/3.09 (define @t73 () (or @t72 @t71)) % 2.85/3.09 (define @t74 () (= @t31 (tptp.addition @t68 @t31))) % 2.85/3.09 (define @t75 () (= @t71 @t74)) % 2.85/3.09 (define @t76 () (tptp.multiplication @t32 tptp.a)) % 2.85/3.09 (define @t77 () (tptp.addition @t36 tptp.one)) % 2.85/3.09 (define @t78 () (tptp.addition @t54 tptp.one)) % 2.85/3.09 (define @t79 () (tptp.addition @t55 tptp.one)) % 2.85/3.09 (define @t80 () (tptp.multiplication tptp.one tptp.a)) % 2.85/3.09 (define @t81 () (tptp.multiplication @t36 tptp.a)) % 2.85/3.09 (define @t82 () (tptp.multiplication tptp.one @t31)) % 2.85/3.09 (define @t83 () (tptp.multiplication @t36 @t31)) % 2.85/3.09 (define @t84 () (tptp.multiplication @t45 tptp.a)) % 2.85/3.09 (define @t85 () (tptp.multiplication @t31 @t32)) % 2.85/3.09 (define @t86 () (= @t85 @t81)) % 2.85/3.09 (define @t87 () (@list @t31 tptp.a tptp.a)) % 2.85/3.09 (define @t88 () (= @t81 @t85)) % 2.85/3.09 (define @t89 () (@list @t45)) % 2.85/3.09 (define @t90 () (tptp.multiplication @t37 @t31)) % 2.85/3.09 (define @t91 () (@list @t90 @t37)) % 2.85/3.09 (define @t92 () (tptp.leq @t37 @t37)) % 2.85/3.09 (define @t93 () (= @t37 @t54)) % 2.85/3.09 (define @t94 () (forall @t4 (= @t20 (= @t2 @t3)))) % 2.85/3.09 (define @t95 () (= @t92 @t93)) % 2.85/3.09 (define @t96 () (= @t93 @t92)) % 2.85/3.09 (define @t97 () (not @t93)) % 2.85/3.09 (define @t98 () (tptp.multiplication @t40 tptp.a)) % 2.85/3.09 (define @t99 () (tptp.addition @t53 @t36)) % 2.85/3.09 (define @t100 () (tptp.addition @t53 @t37)) % 2.85/3.09 (define @t101 () (tptp.leq @t100 @t37)) % 2.85/3.09 (define @t102 () (tptp.leq @t90 @t37)) % 2.85/3.09 (define @t103 () (not @t101)) % 2.85/3.09 (define @t104 () (or @t103 @t102)) % 2.85/3.09 (define @t105 () (tptp.addition @t90 @t37)) % 2.85/3.09 (define @t106 () (= @t37 @t105)) % 2.85/3.09 (define @t107 () (= @t102 @t106)) % 2.85/3.09 (define @t108 () (tptp.addition @t53 @t80)) % 2.85/3.09 (define @t109 () (tptp.addition @t36 @t80)) % 2.85/3.09 (define @t110 () (tptp.addition @t36 @t36)) % 2.85/3.09 (define @t111 () (tptp.addition tptp.one @t110)) % 2.85/3.09 (define @t112 () (tptp.addition @t37 @t36)) % 2.85/3.09 (define @t113 () (= @t111 @t112)) % 2.85/3.09 (define @t114 () (= @t112 @t111)) % 2.85/3.09 (define @t115 () (tptp.addition @t33 @t34)) % 2.85/3.09 (define @t116 () (tptp.multiplication @t80 tptp.a)) % 2.85/3.09 (define @t117 () (tptp.multiplication @t84 tptp.a)) % 2.85/3.09 (define @t118 () (= @t31 @t52)) % 2.85/3.09 (define @t119 () (= @t35 @t118)) % 2.85/3.09 (define @t120 () (not @t118)) % 2.85/3.09 (define @t121 () (tptp.multiplication @t32 @t32)) % 2.85/3.09 (define @t122 () (tptp.addition @t121 @t31)) % 2.85/3.09 (define @t123 () (tptp.addition @t34 @t40)) % 2.85/3.09 (define @t124 () (tptp.addition @t55 @t46)) % 2.85/3.09 (define @t125 () (tptp.addition @t99 @t31)) % 2.85/3.09 (define @t126 () (tptp.addition @t53 @t45)) % 2.85/3.09 (define @t127 () (tptp.addition @t79 @t126)) % 2.85/3.09 (define @t128 () (tptp.addition @t37 @t40)) % 2.85/3.09 (define @t129 () (tptp.addition @t54 @t46)) % 2.85/3.09 (define @t130 () (tptp.multiplication @t45 tptp.one)) % 2.85/3.09 (define @t131 () (tptp.addition @t82 @t31)) % 2.85/3.09 (define @t132 () (tptp.multiplication @t131 tptp.a)) % 2.85/3.09 (define @t133 () (tptp.multiplication @t46 tptp.a)) % 2.85/3.09 (define @t134 () (tptp.addition @t80 @t84)) % 2.85/3.09 (define @t135 () (tptp.addition @t134 @t37)) % 2.85/3.09 (define @t136 () (tptp.addition @t80 (tptp.addition @t84 @t37))) % 2.85/3.09 (define @t137 () (tptp.addition @t45 @t77)) % 2.85/3.09 (define @t138 () (tptp.addition (tptp.addition @t79 @t53) @t45)) % 2.85/3.09 (define @t139 () (= @t45 @t138)) % 2.85/3.09 (define @t140 () (tptp.addition @t115 @t53)) % 2.85/3.09 (define @t141 () (tptp.addition @t32 tptp.a)) % 2.85/3.09 (define @t142 () (= @t33 @t76)) % 2.85/3.09 (define @t143 () (= @t34 @t121)) % 2.85/3.09 (define @t144 () (= @t37 @t77)) % 2.85/3.09 (define @t145 () (= @t40 (tptp.addition @t31 @t37))) % 2.85/3.09 (define @t146 () (tptp.addition @t55 @t31)) % 2.85/3.09 (define @t147 () (= @t123 @t146)) % 2.85/3.09 (define @t148 () (= @t128 (tptp.addition @t54 @t31))) % 2.85/3.09 (define @t149 () (= @t98 @t99)) % 2.85/3.09 (define @t150 () (tptp.addition @t45 tptp.one)) % 2.85/3.09 (define @t151 () (= @t46 @t150)) % 2.85/3.09 (define @t152 () (tptp.addition @t33 @t52)) % 2.85/3.09 (define @t153 () (= @t58 @t152)) % 2.85/3.09 (define @t154 () (= @t45 (tptp.addition @t31 @t36))) % 2.85/3.09 (define @t155 () (= @t99 (tptp.addition @t36 @t53))) % 2.85/3.09 (define @t156 () (tptp.addition @t77 @t45)) % 2.85/3.09 (define @t157 () (= (tptp.addition @t36 @t46) @t156)) % 2.85/3.09 (define @t158 () (tptp.addition @t78 @t45)) % 2.85/3.09 (define @t159 () (= @t129 @t158)) % 2.85/3.09 (define @t160 () (tptp.addition @t79 @t45)) % 2.85/3.09 (define @t161 () (= @t124 @t160)) % 2.85/3.09 (define @t162 () (= @t126 @t125)) % 2.85/3.09 (define @t163 () (= @t31 @t68)) % 2.85/3.09 (define @t164 () (= @t31 @t82)) % 2.85/3.09 (define @t165 () (tptp.multiplication @t37 @t45)) % 2.85/3.09 (define @t166 () (tptp.multiplication @t37 tptp.one)) % 2.85/3.09 (define @t167 () (tptp.addition @t166 @t165)) % 2.85/3.09 (define @t168 () (= (tptp.multiplication @t37 @t46) @t167)) % 2.85/3.09 (define @t169 () (= @t133 @t134)) % 2.85/3.09 (define @t170 () (tptp.addition @t82 @t83)) % 2.85/3.09 (define @t171 () (= @t90 @t170)) % 2.85/3.09 (define @t172 () (tptp.addition @t80 @t81)) % 2.85/3.09 (define @t173 () (= @t53 @t172)) % 2.85/3.09 (define @t174 () (tptp.addition @t76 @t31)) % 2.85/3.09 (define @t175 () (= @t174 (tptp.addition @t31 @t76))) % 2.85/3.09 (define @t176 () (tptp.addition @t34 @t33)) % 2.85/3.09 (define @t177 () (= @t176 @t115)) % 2.85/3.09 (define @t178 () (= @t78 (tptp.addition tptp.one @t54))) % 2.85/3.09 (define @t179 () (= @t156 @t137)) % 2.85/3.09 (define @t180 () (= @t62 @t112)) % 2.85/3.09 (define @t181 () (= @t158 (tptp.addition @t45 @t78))) % 2.85/3.09 (define @t182 () (= @t127 @t138)) % 2.85/3.09 (define @t183 () (tptp.addition @t108 @t81)) % 2.85/3.09 (define @t184 () (tptp.addition @t53 @t172)) % 2.85/3.09 (define @t185 () (= @t184 @t183)) % 2.85/3.09 (define @t186 () (tptp.addition @t109 @t81)) % 2.85/3.09 (define @t187 () (tptp.addition @t36 @t172)) % 2.85/3.09 (define @t188 () (= @t187 @t186)) % 2.85/3.09 (define @t189 () (tptp.addition @t115 @t31)) % 2.85/3.09 (define @t190 () (= @t152 @t189)) % 2.85/3.09 (define @t191 () (tptp.addition @t131 @t83)) % 2.85/3.09 (define @t192 () (= (tptp.addition @t82 (tptp.addition @t31 @t83)) @t191)) % 2.85/3.09 (define @t193 () (= @t136 @t135)) % 2.85/3.09 (define @t194 () (tptp.addition @t126 tptp.one)) % 2.85/3.09 (define @t195 () (= (tptp.addition @t53 @t150) @t194)) % 2.85/3.09 (define @t196 () (= @t53 (tptp.addition @t53 @t53))) % 2.85/3.09 (define @t197 () (tptp.multiplication tptp.a tptp.one)) % 2.85/3.09 (define @t198 () (= tptp.a @t197)) % 2.85/3.09 (define @t199 () (= @t37 @t166)) % 2.85/3.09 (define @t200 () (= @t45 @t130)) % 2.85/3.09 (define @t201 () (= tptp.a @t80)) % 2.85/3.09 (define @t202 () (tptp.multiplication tptp.one @t37)) % 2.85/3.09 (define @t203 () (= @t37 @t202)) % 2.85/3.09 (define @t204 () (tptp.multiplication tptp.one @t45)) % 2.85/3.09 (define @t205 () (= @t45 @t204)) % 2.85/3.09 (define @t206 () (tptp.addition @t68 @t68)) % 2.85/3.09 (define @t207 () (tptp.multiplication @t31 (tptp.addition tptp.one tptp.one))) % 2.85/3.09 (define @t208 () (= @t207 @t206)) % 2.85/3.09 (define @t209 () (= @t132 (tptp.addition (tptp.multiplication @t82 tptp.a) @t36))) % 2.85/3.09 (define @t210 () (tptp.multiplication @t62 @t31)) % 2.85/3.09 (define @t211 () (tptp.addition @t82 @t210)) % 2.85/3.09 (define @t212 () (= (tptp.multiplication @t63 @t31) @t211)) % 2.85/3.09 (define @t213 () (tptp.multiplication @t62 tptp.a)) % 2.85/3.09 (define @t214 () (tptp.addition @t80 @t213)) % 2.85/3.09 (define @t215 () (= (tptp.multiplication @t63 tptp.a) @t214)) % 2.85/3.09 (define @t216 () (tptp.addition @t116 @t117)) % 2.85/3.09 (define @t217 () (tptp.multiplication @t134 tptp.a)) % 2.85/3.09 (define @t218 () (= @t217 @t216)) % 2.85/3.09 (define @t219 () (tptp.addition (tptp.multiplication @t53 tptp.one) @t130)) % 2.85/3.09 (define @t220 () (tptp.multiplication @t126 tptp.one)) % 2.85/3.09 (define @t221 () (= @t220 @t219)) % 2.85/3.09 (define @t222 () (tptp.addition (tptp.multiplication @t53 tptp.a) @t84)) % 2.85/3.09 (define @t223 () (tptp.multiplication @t126 tptp.a)) % 2.85/3.09 (define @t224 () (= @t223 @t222)) % 2.85/3.09 (define @t225 () (tptp.addition @t204 (tptp.multiplication @t36 @t45))) % 2.85/3.09 (define @t226 () (= @t165 @t225)) % 2.85/3.09 (define @t227 () (tptp.addition @t36 tptp.a)) % 2.85/3.09 (define @t228 () (= @t227 (tptp.addition tptp.a @t36))) % 2.85/3.09 (define @t229 () (tptp.addition @t53 tptp.a)) % 2.85/3.09 (define @t230 () (= @t229 (tptp.addition tptp.a @t53))) % 2.85/3.09 (define @t231 () (tptp.addition @t33 @t90)) % 2.85/3.09 (define @t232 () (= (tptp.addition @t90 @t33) @t231)) % 2.85/3.09 (define @t233 () (= @t105 (tptp.addition @t37 @t90))) % 2.85/3.09 (define @t234 () (= @t183 (tptp.addition @t81 @t108))) % 2.85/3.09 (define @t235 () (= @t186 (tptp.addition @t81 @t109))) % 2.85/3.09 (define @t236 () (tptp.addition @t85 @t53)) % 2.85/3.09 (define @t237 () (tptp.addition @t236 @t31)) % 2.85/3.09 (define @t238 () (tptp.addition @t53 @t31)) % 2.85/3.09 (define @t239 () (= (tptp.addition @t85 @t238) @t237)) % 2.85/3.09 (define @t240 () (tptp.addition @t140 @t31)) % 2.85/3.09 (define @t241 () (= (tptp.addition @t115 @t238) @t240)) % 2.85/3.09 (define @t242 () (tptp.addition @t216 @t45)) % 2.85/3.09 (define @t243 () (= (tptp.addition @t116 (tptp.addition @t117 @t45)) @t242)) % 2.85/3.09 (define @t244 () (tptp.multiplication @t32 @t141)) % 2.85/3.09 (define @t245 () (= @t244 (tptp.addition @t121 @t76))) % 2.85/3.09 (define @t246 () (tptp.addition @t85 @t36)) % 2.85/3.09 (define @t247 () (tptp.multiplication @t31 @t141)) % 2.85/3.09 (define @t248 () (= @t247 @t246)) % 2.85/3.09 (define @t249 () (tptp.addition @t57 @t33)) % 2.85/3.09 (define @t250 () (= @t249 (tptp.addition @t33 @t57))) % 2.85/3.09 (define @t251 () (tptp.addition @t31 @t140)) % 2.85/3.09 (define @t252 () (= @t240 @t251)) % 2.85/3.09 (define @t253 () (tptp.addition @t33 @t33)) % 2.85/3.09 (define @t254 () (tptp.addition @t52 @t253)) % 2.85/3.09 (define @t255 () (= @t254 (tptp.addition @t58 @t33))) % 2.85/3.09 (define @t256 () (= @t33 @t253)) % 2.85/3.09 (define @t257 () (tptp.multiplication @t56 tptp.one)) % 2.85/3.09 (define @t258 () (= @t56 @t257)) % 2.85/3.09 (define @t259 () (tptp.addition @t32 @t31)) % 2.85/3.09 (define @t260 () (tptp.multiplication @t259 @t141)) % 2.85/3.09 (define @t261 () (= @t260 (tptp.addition @t244 @t247))) % 2.85/3.09 (define @t262 () (tptp.addition @t85 @t31)) % 2.85/3.09 (define @t263 () (tptp.addition @t117 @t37)) % 2.85/3.09 (define @t264 () (tptp.addition @t37 @t33)) % 2.85/3.09 (define @t265 () (and @t142 @t143 @t144 @t41 @t145 @t147 @t148 @t49 @t149 @t151 @t153 @t154 @t155 @t157 @t159 @t161 @t61 @t162 @t65 @t93 @t163 @t164 @t168 @t169 @t171 @t173 @t74 @t175 @t177 @t178 @t179 @t180 @t181 @t182 @t185 @t188 @t190 @t192 @t193 @t195 @t196 @t88 @t198 @t199 @t200 @t201 @t203 @t205 @t208 @t209 @t212 @t215 @t218 @t221 @t224 @t226 @t106 @t228 @t230 @t232 @t233 @t234 @t235 @t114 @t239 @t241 @t243 @t245 @t248 @t250 @t252 @t255 @t256 @t258 @t261)) % 2.85/3.09 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 2.85/3.09 (assume @p2 @t7) % 2.85/3.09 (assume @p3 (forall @t8 (= (tptp.addition @t1 tptp.zero) @t1))) % 2.85/3.09 (assume @p4 @t10) % 2.85/3.09 (assume @p5 @t14) % 2.85/3.09 (assume @p6 @t16) % 2.85/3.09 (assume @p7 @t18) % 2.85/3.09 (assume @p8 (forall @t13 (= (tptp.multiplication @t1 @t6) (tptp.addition @t11 @t19)))) % 2.85/3.09 (assume @p9 (forall @t13 (= (tptp.multiplication @t3 @t5) (tptp.addition @t19 @t12)))) % 2.85/3.09 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 2.85/3.09 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 2.85/3.09 (assume @p12 @t22) % 2.85/3.09 (assume @p13 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t1 @t23)) @t23))) % 2.85/3.09 (assume @p14 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t23 @t1)) @t23))) % 2.85/3.09 (assume @p15 @t27) % 2.85/3.09 (assume @p16 @t30) % 2.85/3.09 (assume @p17 (not @t35)) % 2.85/3.09 (assume @p18 true) % 2.85/3.09 (step @p19 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.a tptp.a))) % 2.85/3.09 (step @p20 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.a @t32))) % 2.85/3.09 (step @p21 :rule instantiate :premises (@p1) :args ((@list tptp.one @t36))) % 2.85/3.09 (step @p22 :rule eq-symm :args (@t3 @t2)) % 2.85/3.09 (step @p23 :rule refl :args (@t20)) % 2.85/3.09 (step @p24 :rule cong :premises (@p23 @p22) :args (@t21)) % 2.85/3.09 (step @p25 :rule cong :premises (@p24) :args (@t22)) % 2.85/3.09 (step @p26 :rule eq_resolve :premises (@p12 @p25)) % 2.85/3.09 (step @p27 :rule instantiate :premises (@p26) :args (@t38)) % 2.85/3.09 (step @p28 :rule instantiate :premises (@p14) :args (@t39)) % 2.85/3.09 (step @p29 :rule cnf_equiv_pos1 :args (@t43)) % 2.85/3.09 (step @p30 :rule reordering :premises (@p29) :args ((or (not @t42) @t41 (not @t43)))) % 2.85/3.09 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p27) :args (@t41 @t44 (@list @t42 @t43))) % 2.85/3.09 (step @p32 :rule instantiate :premises (@p1) :args (@t38)) % 2.85/3.09 (step @p33 :rule instantiate :premises (@p2) :args ((@list @t31 @t37 @t34))) % 2.85/3.09 (step @p34 :rule instantiate :premises (@p2) :args ((@list @t31 @t37 @t37))) % 2.85/3.09 (step @p35 :rule eq-symm :args (@t46 @t40)) % 2.85/3.09 (step @p36 :rule refl :args (@t7)) % 2.85/3.09 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t7 @t47))) % 2.85/3.09 (assume-push @p658 @t7) % 2.85/3.09 (step @p39 :rule instantiate :premises (@p2) :args (@t48)) % 2.85/3.09 (step-pop @p659 :rule scope :premises (@p39)) % 2.85/3.09 (step @p40 :rule process_scope :premises (@p659) :args (@t47)) % 2.85/3.09 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 2.85/3.09 (step @p43 :rule implies_elim :premises (@p42)) % 2.85/3.09 (step @p44 :rule chain_m_resolution :premises (@p43 @p2) :args (@t49 @t50 @t51)) % 2.85/3.09 (step @p45 :rule instantiate :premises (@p9) :args ((@list @t37 @t31 tptp.a))) % 2.85/3.09 (step @p46 :rule instantiate :premises (@p1) :args ((@list tptp.one @t45))) % 2.85/3.09 (step @p47 :rule instantiate :premises (@p1) :args ((@list @t52 @t33))) % 2.85/3.09 (step @p48 :rule instantiate :premises (@p1) :args ((@list @t36 @t31))) % 2.85/3.09 (step @p49 :rule instantiate :premises (@p1) :args ((@list @t53 @t36))) % 2.85/3.09 (step @p50 :rule instantiate :premises (@p2) :args ((@list @t45 tptp.one @t36))) % 2.85/3.09 (step @p51 :rule instantiate :premises (@p2) :args ((@list @t45 tptp.one @t54))) % 2.85/3.09 (step @p52 :rule instantiate :premises (@p2) :args ((@list @t45 tptp.one @t55))) % 2.85/3.09 (step @p53 :rule eq-symm :args (@t57 @t58)) % 2.85/3.09 (step @p54 :rule cong :premises (@p36 @p53) :args ((=> @t7 @t59))) % 2.85/3.09 (assume-push @p660 @t7) % 2.85/3.09 (step @p56 :rule instantiate :premises (@p2) :args (@t60)) % 2.85/3.09 (step-pop @p661 :rule scope :premises (@p56)) % 2.85/3.09 (step @p57 :rule process_scope :premises (@p661) :args (@t59)) % 2.85/3.09 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 2.85/3.09 (step @p60 :rule implies_elim :premises (@p59)) % 2.85/3.09 (step @p61 :rule chain_m_resolution :premises (@p60 @p2) :args (@t61 @t50 @t51)) % 2.85/3.09 (step @p62 :rule instantiate :premises (@p2) :args ((@list @t31 @t36 @t53))) % 2.85/3.09 (step @p63 :rule eq-symm :args (@t63 @t54)) % 2.85/3.09 (step @p64 :rule cong :premises (@p36 @p63) :args ((=> @t7 @t64))) % 2.85/3.09 (assume-push @p662 @t7) % 2.85/3.09 (step @p66 :rule instantiate :premises (@p2) :args ((@list @t37 @t36 tptp.one))) % 2.85/3.09 (step-pop @p663 :rule scope :premises (@p66)) % 2.85/3.09 (step @p67 :rule process_scope :premises (@p663) :args (@t64)) % 2.85/3.09 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 2.85/3.09 (step @p70 :rule implies_elim :premises (@p69)) % 2.85/3.09 (step @p71 :rule chain_m_resolution :premises (@p70 @p2) :args (@t65 @t50 @t51)) % 2.85/3.09 (step @p72 :rule eq-symm :args (@t9 @t1)) % 2.85/3.09 (step @p73 :rule cong :premises (@p72) :args (@t10)) % 2.85/3.09 (step @p74 :rule eq_resolve :premises (@p4 @p73)) % 2.85/3.09 (step @p75 :rule instantiate :premises (@p74) :args (@t66)) % 2.85/3.09 (step @p76 :rule eq-symm :args (@t15 @t1)) % 2.85/3.09 (step @p77 :rule cong :premises (@p76) :args (@t16)) % 2.85/3.09 (step @p78 :rule eq_resolve :premises (@p6 @p77)) % 2.85/3.09 (step @p79 :rule instantiate :premises (@p78) :args (@t67)) % 2.85/3.09 (step @p80 :rule eq-symm :args (@t17 @t1)) % 2.85/3.09 (step @p81 :rule cong :premises (@p80) :args (@t18)) % 2.85/3.09 (step @p82 :rule eq_resolve :premises (@p7 @p81)) % 2.85/3.09 (step @p83 :rule instantiate :premises (@p82) :args (@t67)) % 2.85/3.09 (step @p84 :rule instantiate :premises (@p8) :args ((@list @t37 tptp.one @t45))) % 2.85/3.09 (step @p85 :rule instantiate :premises (@p9) :args ((@list tptp.one @t45 tptp.a))) % 2.85/3.09 (step @p86 :rule instantiate :premises (@p9) :args ((@list tptp.one @t36 @t31))) % 2.85/3.09 (step @p87 :rule instantiate :premises (@p9) :args ((@list tptp.one @t36 tptp.a))) % 2.85/3.09 (step @p88 :rule instantiate :premises (@p26) :args ((@list @t68 @t31))) % 2.85/3.09 (step @p89 :rule bool-impl-elim :args (@t26 @t24)) % 2.85/3.09 (step @p90 :rule cong :premises (@p89) :args (@t27)) % 2.85/3.09 (step @p91 :rule eq_resolve :premises (@p15 @p90)) % 2.85/3.09 (step @p92 :rule instantiate :premises (@p91) :args ((@list tptp.a @t31 tptp.one))) % 2.85/3.09 (step @p93 :rule instantiate :premises (@p13) :args (@t39)) % 2.85/3.09 (step @p94 :rule true_intro :premises (@p93)) % 2.85/3.09 (step @p95 :rule refl :args (@t31)) % 2.85/3.09 (step @p96 :rule instantiate :premises (@p1) :args ((@list tptp.one @t69))) % 2.85/3.09 (step @p97 :rule symm :premises (@p96)) % 2.85/3.09 (step @p98 :rule cong :premises (@p97 @p95) :args (@t70)) % 2.85/3.09 (step @p99 :rule trans :premises (@p98 @p94)) % 2.85/3.09 (step @p100 :rule true_elim :premises (@p99)) % 2.85/3.09 (step @p101 :rule cnf_or_pos :args (@t73)) % 2.85/3.09 (step @p102 :rule reordering :premises (@p101) :args ((or @t72 @t71 (not @t73)))) % 2.85/3.09 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p92) :args (@t71 @t44 (@list @t70 @t73))) % 2.85/3.09 (step @p104 :rule cnf_equiv_pos1 :args (@t75)) % 2.85/3.09 (step @p105 :rule reordering :premises (@p104) :args ((or (not @t71) @t74 (not @t75)))) % 2.85/3.09 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p88) :args (@t74 @t44 (@list @t71 @t75))) % 2.85/3.09 (step @p107 :rule instantiate :premises (@p1) :args ((@list @t76 @t31))) % 2.85/3.09 (step @p108 :rule instantiate :premises (@p1) :args ((@list @t34 @t33))) % 2.85/3.09 (step @p109 :rule instantiate :premises (@p1) :args ((@list @t54 tptp.one))) % 2.85/3.09 (step @p110 :rule instantiate :premises (@p1) :args ((@list @t77 @t45))) % 2.85/3.09 (step @p111 :rule instantiate :premises (@p1) :args ((@list @t36 @t37))) % 2.85/3.09 (step @p112 :rule instantiate :premises (@p1) :args ((@list @t78 @t45))) % 2.85/3.09 (step @p113 :rule instantiate :premises (@p2) :args ((@list @t45 @t53 @t79))) % 2.85/3.09 (step @p114 :rule instantiate :premises (@p2) :args ((@list @t81 @t80 @t53))) % 2.85/3.09 (step @p115 :rule instantiate :premises (@p2) :args ((@list @t81 @t80 @t36))) % 2.85/3.09 (step @p116 :rule instantiate :premises (@p2) :args ((@list @t31 @t34 @t33))) % 2.85/3.09 (step @p117 :rule instantiate :premises (@p2) :args ((@list @t83 @t31 @t82))) % 2.85/3.09 (step @p118 :rule instantiate :premises (@p2) :args ((@list @t37 @t84 @t80))) % 2.85/3.09 (step @p119 :rule instantiate :premises (@p2) :args ((@list tptp.one @t45 @t53))) % 2.85/3.09 (step @p120 :rule instantiate :premises (@p74) :args ((@list @t53))) % 2.85/3.09 (step @p121 :rule eq-symm :args (@t85 @t81)) % 2.85/3.09 (step @p122 :rule refl :args (@t14)) % 2.85/3.09 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t14 @t86))) % 2.85/3.09 (assume-push @p664 @t14) % 2.85/3.09 (step @p125 :rule instantiate :premises (@p5) :args (@t87)) % 2.85/3.09 (step-pop @p665 :rule scope :premises (@p125)) % 2.85/3.09 (step @p126 :rule process_scope :premises (@p665) :args (@t86)) % 2.85/3.09 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 2.85/3.09 (step @p129 :rule implies_elim :premises (@p128)) % 2.85/3.09 (step @p130 :rule chain_m_resolution :premises (@p129 @p5) :args (@t88 @t50 (@list @t14))) % 2.85/3.09 (step @p131 :rule instantiate :premises (@p78) :args (@t39)) % 2.85/3.09 (step @p132 :rule instantiate :premises (@p78) :args (@t66)) % 2.85/3.09 (step @p133 :rule instantiate :premises (@p78) :args (@t89)) % 2.85/3.09 (step @p134 :rule instantiate :premises (@p82) :args (@t39)) % 2.85/3.09 (step @p135 :rule instantiate :premises (@p82) :args (@t66)) % 2.85/3.09 (step @p136 :rule instantiate :premises (@p82) :args (@t89)) % 2.85/3.09 (step @p137 :rule instantiate :premises (@p8) :args ((@list @t31 tptp.one tptp.one))) % 2.85/3.09 (step @p138 :rule instantiate :premises (@p9) :args ((@list @t82 @t31 tptp.a))) % 2.85/3.09 (step @p139 :rule instantiate :premises (@p9) :args ((@list tptp.one @t62 @t31))) % 2.85/3.09 (step @p140 :rule instantiate :premises (@p9) :args ((@list tptp.one @t62 tptp.a))) % 2.85/3.09 (step @p141 :rule instantiate :premises (@p9) :args ((@list @t80 @t84 tptp.a))) % 2.85/3.09 (step @p142 :rule instantiate :premises (@p9) :args ((@list @t53 @t45 tptp.one))) % 2.85/3.09 (step @p143 :rule instantiate :premises (@p9) :args ((@list @t53 @t45 tptp.a))) % 2.85/3.09 (step @p144 :rule instantiate :premises (@p9) :args ((@list tptp.one @t36 @t45))) % 2.85/3.09 (step @p145 :rule instantiate :premises (@p26) :args (@t91)) % 2.85/3.09 (step @p146 :rule bool-impl-elim :args (@t29 @t28)) % 2.85/3.09 (step @p147 :rule cong :premises (@p146) :args (@t30)) % 2.85/3.09 (step @p148 :rule eq_resolve :premises (@p16 @p147)) % 2.85/3.09 (step @p149 :rule instantiate :premises (@p148) :args ((@list @t37 tptp.a @t37))) % 2.85/3.09 (step @p150 :rule eq-symm :args (@t92 @t93)) % 2.85/3.09 (step @p151 :rule refl :args (@t94)) % 2.85/3.09 (step @p152 :rule cong :premises (@p151 @p150) :args ((=> @t94 @t95))) % 2.85/3.09 (assume-push @p666 @t94) % 2.85/3.09 (step @p154 :rule instantiate :premises (@p26) :args ((@list @t37 @t37))) % 2.85/3.09 (step-pop @p667 :rule scope :premises (@p154)) % 2.85/3.09 (step @p155 :rule process_scope :premises (@p667) :args (@t95)) % 2.85/3.09 (step @p157 :rule eq_resolve :premises (@p155 @p152)) % 2.85/3.09 (step @p158 :rule implies_elim :premises (@p157)) % 2.85/3.09 (step @p159 :rule chain_m_resolution :premises (@p158 @p26) :args (@t96 @t50 (@list @t94))) % 2.85/3.09 (step @p160 :rule cnf_equiv_pos1 :args (@t96)) % 2.85/3.09 (step @p161 :rule reordering :premises (@p160) :args ((or @t92 @t97 (not @t96)))) % 2.85/3.09 (step @p162 :rule chain_m_resolution :premises (@p161 @p75 @p159) :args (@t92 @t44 (@list @t93 @t96))) % 2.85/3.09 (step @p163 :rule true_intro :premises (@p162)) % 2.85/3.09 (step @p164 :rule refl :args (@t37)) % 2.85/3.09 (step @p165 :rule symm :premises (@p21)) % 2.85/3.09 (step @p166 :rule refl :args (tptp.one)) % 2.85/3.09 (step @p167 :rule refl :args (tptp.a)) % 2.85/3.09 (step @p168 :rule symm :premises (@p31)) % 2.85/3.09 (step @p169 :rule cong :premises (@p168 @p167) :args (@t98)) % 2.85/3.09 (step @p170 :rule symm :premises (@p45)) % 2.85/3.09 (step @p171 :rule trans :premises (@p170 @p169)) % 2.85/3.09 (step @p172 :rule cong :premises (@p171 @p166) :args ((tptp.addition @t99 tptp.one))) % 2.85/3.09 (step @p173 :rule instantiate :premises (@p2) :args ((@list tptp.one @t36 @t53))) % 2.85/3.09 (step @p174 :rule refl :args (@t53)) % 2.85/3.09 (step @p175 :rule cong :premises (@p174 @p21) :args (@t100)) % 2.85/3.09 (step @p176 :rule trans :premises (@p175 @p173 @p172 @p165)) % 2.85/3.09 (step @p177 :rule cong :premises (@p176 @p164) :args (@t101)) % 2.85/3.09 (step @p178 :rule trans :premises (@p177 @p163)) % 2.85/3.09 (step @p179 :rule true_elim :premises (@p178)) % 2.85/3.09 (step @p180 :rule cnf_or_pos :args (@t104)) % 2.85/3.09 (step @p181 :rule reordering :premises (@p180) :args ((or @t103 @t102 (not @t104)))) % 2.85/3.09 (step @p182 :rule chain_m_resolution :premises (@p181 @p179 @p149) :args (@t102 @t44 (@list @t101 @t104))) % 2.85/3.09 (step @p183 :rule cnf_equiv_pos1 :args (@t107)) % 2.85/3.09 (step @p184 :rule reordering :premises (@p183) :args ((or (not @t102) @t106 (not @t107)))) % 2.85/3.09 (step @p185 :rule chain_m_resolution :premises (@p184 @p182 @p145) :args (@t106 @t44 (@list @t102 @t107))) % 2.85/3.09 (step @p186 :rule instantiate :premises (@p1) :args ((@list @t36 tptp.a))) % 2.85/3.09 (step @p187 :rule instantiate :premises (@p1) :args ((@list @t53 tptp.a))) % 2.85/3.09 (step @p188 :rule instantiate :premises (@p1) :args ((@list @t90 @t33))) % 2.85/3.09 (step @p189 :rule instantiate :premises (@p1) :args (@t91)) % 2.85/3.09 (step @p190 :rule instantiate :premises (@p1) :args ((@list @t108 @t81))) % 2.85/3.09 (step @p191 :rule instantiate :premises (@p1) :args ((@list @t109 @t81))) % 2.85/3.09 (step @p192 :rule eq-symm :args (@t111 @t112)) % 2.85/3.09 (step @p193 :rule cong :premises (@p36 @p192) :args ((=> @t7 @t113))) % 2.85/3.09 (assume-push @p668 @t7) % 2.85/3.09 (step @p195 :rule instantiate :premises (@p2) :args ((@list @t36 @t36 tptp.one))) % 2.85/3.09 (step-pop @p669 :rule scope :premises (@p195)) % 2.85/3.09 (step @p196 :rule process_scope :premises (@p669) :args (@t113)) % 2.85/3.09 (step @p198 :rule eq_resolve :premises (@p196 @p193)) % 2.85/3.09 (step @p199 :rule implies_elim :premises (@p198)) % 2.85/3.09 (step @p200 :rule chain_m_resolution :premises (@p199 @p2) :args (@t114 @t50 @t51)) % 2.85/3.09 (step @p201 :rule instantiate :premises (@p2) :args ((@list @t31 @t53 @t85))) % 2.85/3.09 (step @p202 :rule instantiate :premises (@p2) :args ((@list @t31 @t53 @t115))) % 2.85/3.09 (step @p203 :rule instantiate :premises (@p2) :args ((@list @t45 @t117 @t116))) % 2.85/3.09 (step @p204 :rule instantiate :premises (@p8) :args ((@list @t32 @t32 tptp.a))) % 2.85/3.09 (step @p205 :rule instantiate :premises (@p8) :args ((@list @t31 @t32 tptp.a))) % 2.85/3.09 (step @p206 :rule instantiate :premises (@p26) :args ((@list @t34 @t31))) % 2.85/3.09 (step @p207 :rule cnf_equiv_pos2 :args (@t119)) % 2.85/3.09 (step @p208 :rule 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@t241) (not @t243) (not @t245) (not @t248) (not @t250) (not @t252) (not @t255) (not @t256) (not @t258) (not @t261)))) % 2.85/3.10 (step @p657 false :rule chain_m_resolution :premises (@p656 @p274 @p273 @p272 @p271 @p270 @p269 @p268 @p205 @p204 @p203 @p202 @p201 @p200 @p191 @p190 @p189 @p188 @p187 @p186 @p185 @p144 @p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p133 @p132 @p131 @p130 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p87 @p86 @p85 @p84 @p83 @p79 @p75 @p71 @p62 @p61 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p34 @p33 @p32 @p31 @p21 @p20 @p19) :args (false (@list false false false false false false true 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 false false false false false false false false false false false false false false false false false false false false) (@list @t261 @t258 @t256 @t255 @t252 @t250 @t139 @t248 @t245 @t243 @t241 @t239 @t114 @t235 @t234 @t233 @t232 @t230 @t228 @t106 @t226 @t224 @t221 @t218 @t215 @t212 @t209 @t208 @t205 @t203 @t201 @t200 @t199 @t198 @t88 @t196 @t195 @t193 @t192 @t190 @t188 @t185 @t182 @t181 @t180 @t179 @t178 @t177 @t175 @t74 @t173 @t171 @t169 @t168 @t164 @t163 @t93 @t65 @t162 @t61 @t161 @t159 @t157 @t155 @t154 @t153 @t151 @t149 @t49 @t148 @t147 @t145 @t41 @t144 @t143 @t142))) % 2.85/3.10 ) % 2.85/3.10 % SZS output end Proof % 2.85/3.10 % cvc5 exiting %------------------------------------------------------------------------------