%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE145+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:28:23 AM UTC 2026 % Result : Theorem 32.86s 33.12s % Output : Proof 32.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE145+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n022.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 05:19:53 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 32.86/33.12 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 32.86/33.12 --- Run --no-e-matching --full-saturate-quant at 6... % 32.86/33.12 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 32.86/33.12 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 32.86/33.12 % SZS status Theorem % 32.86/33.12 % SZS output start Proof % 32.86/33.12 ( % 32.86/33.12 (declare-sort $$unsorted 0) % 32.86/33.12 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 32.86/33.12 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 32.86/33.12 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 32.86/33.12 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 32.86/33.12 (declare-const tptp.zero $$unsorted) % 32.86/33.12 (declare-const tptp.one $$unsorted) % 32.86/33.12 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 32.86/33.12 (define @t1 () (@var "A" $$unsorted)) % 32.86/33.12 (define @t2 () (@var "B" $$unsorted)) % 32.86/33.12 (define @t3 () (tptp.addition @t1 @t2)) % 32.86/33.12 (define @t4 () (@list @t1 @t2)) % 32.86/33.12 (define @t5 () (@var "C" $$unsorted)) % 32.86/33.12 (define @t6 () (tptp.addition @t2 @t5)) % 32.86/33.12 (define @t7 () (tptp.addition @t1 tptp.zero)) % 32.86/33.12 (define @t8 () (@list @t1)) % 32.86/33.12 (define @t9 () (forall @t8 (= @t7 @t1))) % 32.86/33.12 (define @t10 () (tptp.addition @t1 @t1)) % 32.86/33.12 (define @t11 () (forall @t8 (= @t10 @t1))) % 32.86/33.12 (define @t12 () (tptp.multiplication @t1 @t2)) % 32.86/33.12 (define @t13 () (tptp.multiplication @t2 @t5)) % 32.86/33.12 (define @t14 () (@list @t1 @t2 @t5)) % 32.86/33.12 (define @t15 () (tptp.multiplication @t1 tptp.one)) % 32.86/33.12 (define @t16 () (forall @t8 (= @t15 @t1))) % 32.86/33.12 (define @t17 () (tptp.multiplication tptp.one @t1)) % 32.86/33.12 (define @t18 () (forall @t8 (= @t17 @t1))) % 32.86/33.12 (define @t19 () (tptp.multiplication @t1 @t5)) % 32.86/33.12 (define @t20 () (tptp.multiplication tptp.zero @t1)) % 32.86/33.12 (define @t21 () (forall @t8 (= @t20 tptp.zero))) % 32.86/33.12 (define @t22 () (tptp.star @t1)) % 32.86/33.12 (define @t23 () (tptp.addition tptp.one (tptp.multiplication @t1 @t22))) % 32.86/33.12 (define @t24 () (forall @t8 (= @t23 @t22))) % 32.86/33.12 (define @t25 () (tptp.addition tptp.one (tptp.multiplication @t22 @t1))) % 32.86/33.12 (define @t26 () (forall @t8 (= @t25 @t22))) % 32.86/33.12 (define @t27 () (tptp.leq (tptp.multiplication @t22 @t2) @t5)) % 32.86/33.12 (define @t28 () (tptp.addition @t19 @t2)) % 32.86/33.12 (define @t29 () (tptp.leq @t28 @t5)) % 32.86/33.12 (define @t30 () (forall @t14 (=> @t29 @t27))) % 32.86/33.12 (define @t31 () (tptp.leq (tptp.multiplication @t2 @t22) @t5)) % 32.86/33.12 (define @t32 () (tptp.leq (tptp.addition (tptp.multiplication @t5 @t1) @t2) @t5)) % 32.86/33.12 (define @t33 () (forall @t14 (=> @t32 @t31))) % 32.86/33.12 (define @t34 () (tptp.strong_iteration @t1)) % 32.86/33.12 (define @t35 () (tptp.leq @t1 @t2)) % 32.86/33.12 (define @t36 () (= @t35 (= @t3 @t2))) % 32.86/33.12 (define @t37 () (forall @t4 @t36)) % 32.86/33.12 (define @t38 () (@var "X0" $$unsorted)) % 32.86/33.12 (define @t39 () (tptp.strong_iteration @t38)) % 32.86/33.12 (define @t40 () (tptp.star @t39)) % 32.86/33.12 (define @t41 () (tptp.leq @t39 @t40)) % 32.86/33.12 (define @t42 () (tptp.leq @t40 @t39)) % 32.86/33.12 (define @t43 () (@list @t38)) % 32.86/33.12 (define @t44 () (forall @t43 (and @t42 @t41))) % 32.86/33.12 (define @t45 () (not @t44)) % 32.86/33.12 (define @t46 () (@list tptp.one)) % 32.86/33.12 (define @t47 () (@var "BOUND_VARIABLE_7556" $$unsorted)) % 32.86/33.12 (define @t48 () (tptp.strong_iteration @t47)) % 32.86/33.12 (define @t49 () (forall (@list @t47) (tptp.leq @t48 (tptp.star @t48)))) % 32.86/33.12 (define @t50 () (@quantifiers_skolemize @t49 0)) % 32.86/33.12 (define @t51 () (@list @t50)) % 32.86/33.12 (define @t52 () (tptp.strong_iteration @t50)) % 32.86/33.12 (define @t53 () (@list @t52)) % 32.86/33.12 (define @t54 () (tptp.star @t52)) % 32.86/33.12 (define @t55 () (tptp.multiplication @t52 @t54)) % 32.86/33.12 (define @t56 () (tptp.star @t50)) % 32.86/33.12 (define @t57 () (tptp.multiplication @t52 tptp.zero)) % 32.86/33.12 (define @t58 () (@var "BOUND_VARIABLE_7549" $$unsorted)) % 32.86/33.12 (define @t59 () (tptp.strong_iteration @t58)) % 32.86/33.12 (define @t60 () (forall (@list @t58) (tptp.leq (tptp.star @t59) @t59))) % 32.86/33.12 (define @t61 () (@quantifiers_skolemize @t60 0)) % 32.86/33.12 (define @t62 () (tptp.strong_iteration @t61)) % 32.86/33.12 (define @t63 () (@list @t61)) % 32.86/33.12 (define @t64 () (tptp.multiplication @t61 @t62)) % 32.86/33.12 (define @t65 () (tptp.addition @t64 tptp.one)) % 32.86/33.12 (define @t66 () (tptp.multiplication @t62 tptp.zero)) % 32.86/33.12 (define @t67 () (tptp.star @t61)) % 32.86/33.12 (define @t68 () (tptp.addition @t66 @t67)) % 32.86/33.12 (define @t69 () (tptp.multiplication @t61 @t68)) % 32.86/33.12 (define @t70 () (tptp.addition tptp.one @t64)) % 32.86/33.12 (define @t71 () (tptp.addition @t67 @t66)) % 32.86/33.12 (define @t72 () (tptp.addition tptp.one @t71)) % 32.86/33.12 (define @t73 () (tptp.multiplication @t67 @t61)) % 32.86/33.12 (define @t74 () (tptp.addition tptp.one @t73)) % 32.86/33.12 (define @t75 () (tptp.addition tptp.one @t74)) % 32.86/33.12 (define @t76 () (tptp.addition @t62 @t62)) % 32.86/33.12 (define @t77 () (= @t62 @t76)) % 32.86/33.12 (define @t78 () (tptp.leq @t62 @t62)) % 32.86/33.12 (define @t79 () (= @t78 @t77)) % 32.86/33.12 (define @t80 () (not @t79)) % 32.86/33.12 (define @t81 () (not @t77)) % 32.86/33.12 (define @t82 () (@list false false)) % 32.86/33.12 (define @t83 () (not @t78)) % 32.86/33.12 (define @t84 () (@list @t67)) % 32.86/33.12 (define @t85 () (@list @t62)) % 32.86/33.12 (define @t86 () (tptp.multiplication @t67 @t64)) % 32.86/33.12 (define @t87 () (tptp.multiplication @t67 @t62)) % 32.86/33.12 (define @t88 () (tptp.addition @t87 tptp.one)) % 32.86/33.12 (define @t89 () (tptp.multiplication tptp.zero tptp.zero)) % 32.86/33.12 (define @t90 () (tptp.multiplication @t62 @t89)) % 32.86/33.12 (define @t91 () (tptp.addition @t61 @t62)) % 32.86/33.12 (define @t92 () (tptp.addition @t67 @t67)) % 32.86/33.12 (define @t93 () (tptp.addition @t66 @t92)) % 32.86/33.12 (define @t94 () (tptp.addition tptp.zero tptp.one)) % 32.86/33.12 (define @t95 () (tptp.addition @t64 @t94)) % 32.86/33.12 (define @t96 () (tptp.addition (tptp.addition @t64 tptp.zero) tptp.one)) % 32.86/33.12 (define @t97 () (tptp.addition @t73 tptp.one)) % 32.86/33.12 (define @t98 () (tptp.multiplication @t66 @t61)) % 32.86/33.12 (define @t99 () (tptp.multiplication @t62 @t61)) % 32.86/33.12 (define @t100 () (tptp.addition tptp.one tptp.one)) % 32.86/33.12 (define @t101 () (tptp.addition @t100 @t73)) % 32.86/33.12 (define @t102 () (tptp.addition tptp.one @t67)) % 32.86/33.12 (define @t103 () (tptp.addition @t102 @t66)) % 32.86/33.12 (define @t104 () (tptp.addition @t99 tptp.one)) % 32.86/33.12 (define @t105 () (tptp.addition @t67 @t99)) % 32.86/33.12 (define @t106 () (tptp.addition @t90 @t91)) % 32.86/33.12 (define @t107 () (tptp.addition @t88 @t106)) % 32.86/33.12 (define @t108 () (= @t107 (tptp.addition (tptp.addition @t88 @t90) @t91))) % 32.86/33.12 (define @t109 () (not @t108)) % 32.86/33.12 (define @t110 () (tptp.multiplication @t62 tptp.one)) % 32.86/33.12 (define @t111 () (tptp.multiplication @t62 @t94)) % 32.86/33.12 (define @t112 () (= @t111 (tptp.addition @t66 @t110))) % 32.86/33.12 (define @t113 () (not @t112)) % 32.86/33.12 (define @t114 () (tptp.addition @t86 @t67)) % 32.86/33.12 (define @t115 () (tptp.addition @t114 tptp.one)) % 32.86/33.12 (define @t116 () (tptp.addition @t67 tptp.one)) % 32.86/33.12 (define @t117 () (= (tptp.addition @t86 @t116) @t115)) % 32.86/33.12 (define @t118 () (not @t117)) % 32.86/33.12 (define @t119 () (tptp.multiplication @t66 @t62)) % 32.86/33.12 (define @t120 () (tptp.addition @t87 @t119)) % 32.86/33.12 (define @t121 () (= (tptp.multiplication @t71 @t62) @t120)) % 32.86/33.12 (define @t122 () (not @t121)) % 32.86/33.12 (define @t123 () (tptp.multiplication @t62 @t62)) % 32.86/33.12 (define @t124 () (tptp.addition @t123 @t62)) % 32.86/33.12 (define @t125 () (tptp.leq @t124 @t62)) % 32.86/33.12 (define @t126 () (= @t62 (tptp.addition @t88 @t62))) % 32.86/33.12 (define @t127 () (not @t126)) % 32.86/33.12 (define @t128 () (tptp.multiplication @t66 tptp.zero)) % 32.86/33.12 (define @t129 () (tptp.multiplication tptp.zero @t62)) % 32.86/33.12 (define @t130 () (tptp.multiplication @t66 @t129)) % 32.86/33.12 (define @t131 () (= @t130 (tptp.multiplication @t128 @t62))) % 32.86/33.12 (define @t132 () (not @t131)) % 32.86/33.12 (define @t133 () (= @t90 @t128)) % 32.86/33.12 (define @t134 () (not @t133)) % 32.86/33.12 (define @t135 () (tptp.multiplication @t67 tptp.one)) % 32.86/33.12 (define @t136 () (tptp.addition @t86 @t135)) % 32.86/33.12 (define @t137 () (tptp.multiplication @t67 @t65)) % 32.86/33.12 (define @t138 () (= @t137 @t136)) % 32.86/33.12 (define @t139 () (not @t138)) % 32.86/33.12 (define @t140 () (= @t75 @t101)) % 32.86/33.12 (define @t141 () (not @t140)) % 32.86/33.12 (define @t142 () (= tptp.zero @t89)) % 32.86/33.12 (define @t143 () (not @t142)) % 32.86/33.12 (define @t144 () (= @t62 @t91)) % 32.86/33.12 (define @t145 () (not @t144)) % 32.86/33.12 (define @t146 () (= tptp.zero @t129)) % 32.86/33.12 (define @t147 () (not @t146)) % 32.86/33.12 (define @t148 () (= @t62 @t110)) % 32.86/33.12 (define @t149 () (not @t148)) % 32.86/33.12 (define @t150 () (= tptp.one @t100)) % 32.86/33.12 (define @t151 () (not @t150)) % 32.86/33.12 (define @t152 () (tptp.addition tptp.one tptp.zero)) % 32.86/33.12 (define @t153 () (= @t152 @t94)) % 32.86/33.12 (define @t154 () (not @t153)) % 32.86/33.12 (define @t155 () (= @t102 @t116)) % 32.86/33.12 (define @t156 () (not @t155)) % 32.86/33.12 (define @t157 () (= tptp.one @t152)) % 32.86/33.12 (define @t158 () (not @t157)) % 32.86/33.12 (define @t159 () (= @t67 @t135)) % 32.86/33.12 (define @t160 () (not @t159)) % 32.86/33.12 (define @t161 () (= @t62 @t71)) % 32.86/33.12 (define @t162 () (not @t161)) % 32.86/33.12 (define @t163 () (= @t62 @t65)) % 32.86/33.12 (define @t164 () (not @t163)) % 32.86/33.12 (define @t165 () (= @t67 @t74)) % 32.86/33.12 (define @t166 () (not @t165)) % 32.86/33.12 (define @t167 () (not @t125)) % 32.86/33.12 (define @t168 () (tptp.addition @t90 @t62)) % 32.86/33.12 (define @t169 () (and @t78 @t126 @t163 @t138 @t159 @t117 @t155 @t165 @t140 @t150 @t148 @t157 @t153 @t112 @t142 @t144 @t108 @t133 @t146 @t131 @t121 @t161 @t167)) % 32.86/33.12 (define @t170 () (tptp.leq @t88 @t62)) % 32.86/33.12 (define @t171 () (= @t170 @t126)) % 32.86/33.12 (define @t172 () (not @t170)) % 32.86/33.12 (define @t173 () (= @t67 @t92)) % 32.86/33.12 (define @t174 () (= @t71 @t68)) % 32.86/33.12 (define @t175 () (= @t74 @t97)) % 32.86/33.12 (define @t176 () (= @t95 @t96)) % 32.86/33.12 (define @t177 () (tptp.addition @t65 @t67)) % 32.86/33.12 (define @t178 () (= (tptp.addition @t64 @t102) @t177)) % 32.86/33.12 (define @t179 () (tptp.addition @t69 @t67)) % 32.86/33.12 (define @t180 () (tptp.addition @t179 @t62)) % 32.86/33.12 (define @t181 () (= (tptp.addition @t69 (tptp.addition @t67 @t62)) @t180)) % 32.86/33.12 (define @t182 () (tptp.addition @t67 @t168)) % 32.86/33.12 (define @t183 () (= @t182 (tptp.addition (tptp.addition @t67 @t90) @t62))) % 32.86/33.12 (define @t184 () (= @t93 (tptp.addition @t68 @t67))) % 32.86/33.12 (define @t185 () (tptp.addition @t64 @t62)) % 32.86/33.12 (define @t186 () (tptp.leq @t185 @t62)) % 32.86/33.12 (define @t187 () (and @t165 @t163 @t161 @t157 @t173 @t153 @t150 @t174 @t148 @t78 @t77 @t142 @t140 @t175 @t176 @t178 @t181 @t183 @t184 @t112)) % 32.86/33.12 (define @t188 () (tptp.leq @t87 @t62)) % 32.86/33.12 (define @t189 () (not @t188)) % 32.86/33.12 (define @t190 () (and @t165 @t163 @t159 @t155 @t150 @t140 @t138 @t172 @t117)) % 32.86/33.12 (define @t191 () (not @t186)) % 32.86/33.12 (define @t192 () (or @t191 @t188)) % 32.86/33.12 (define @t193 () (@list false)) % 32.86/33.12 (define @t194 () (tptp.star @t62)) % 32.86/33.12 (define @t195 () (tptp.multiplication @t62 @t194)) % 32.86/33.12 (define @t196 () (tptp.leq @t195 @t62)) % 32.86/33.12 (define @t197 () (or @t167 @t196)) % 32.86/33.12 (define @t198 () (@list @t194)) % 32.86/33.12 (define @t199 () (tptp.addition @t194 tptp.one)) % 32.86/33.12 (define @t200 () (not @t196)) % 32.86/33.12 (define @t201 () (= @t194 @t195)) % 32.86/33.12 (define @t202 () (not @t201)) % 32.86/33.12 (define @t203 () (tptp.leq @t194 @t62)) % 32.86/33.12 (define @t204 () (not @t203)) % 32.86/33.12 (define @t205 () (not @t60)) % 32.86/33.12 (define @t206 () (forall @t43 @t41)) % 32.86/33.12 (define @t207 () (@list @t38)) % 32.86/33.12 (define @t208 () (forall @t43 @t42)) % 32.86/33.12 (define @t209 () (and @t208 @t206)) % 32.86/33.12 (define @t210 () (not @t49)) % 32.86/33.12 (define @t211 () (tptp.leq @t52 @t54)) % 32.86/33.12 (define @t212 () (not @t211)) % 32.86/33.12 (define @t213 () (= @t54 (tptp.addition @t52 @t54))) % 32.86/33.12 (define @t214 () (= @t211 @t213)) % 32.86/33.12 (define @t215 () (not @t213)) % 32.86/33.12 (define @t216 () (tptp.multiplication @t50 @t56)) % 32.86/33.12 (define @t217 () (tptp.addition @t56 @t57)) % 32.86/33.12 (define @t218 () (tptp.multiplication tptp.one @t54)) % 32.86/33.12 (define @t219 () (tptp.multiplication @t217 @t54)) % 32.86/33.12 (define @t220 () (@list @t54)) % 32.86/33.12 (define @t221 () (= @t52 @t217)) % 32.86/33.12 (define @t222 () (tptp.addition tptp.one @t55)) % 32.86/33.12 (define @t223 () (= @t54 @t222)) % 32.86/33.12 (define @t224 () (tptp.addition @t100 @t55)) % 32.86/33.12 (define @t225 () (tptp.addition tptp.one @t222)) % 32.86/33.12 (define @t226 () (= @t225 @t224)) % 32.86/33.12 (define @t227 () (tptp.addition tptp.one @t56)) % 32.86/33.12 (define @t228 () (tptp.addition @t227 @t57)) % 32.86/33.12 (define @t229 () (tptp.addition tptp.one @t217)) % 32.86/33.12 (define @t230 () (= @t229 @t228)) % 32.86/33.12 (define @t231 () (tptp.addition tptp.one @t216)) % 32.86/33.12 (define @t232 () (= @t56 @t231)) % 32.86/33.12 (define @t233 () (tptp.addition @t100 @t216)) % 32.86/33.12 (define @t234 () (= (tptp.addition tptp.one @t231) @t233)) % 32.86/33.12 (define @t235 () (tptp.addition @t218 @t219)) % 32.86/33.12 (define @t236 () (tptp.multiplication @t229 @t54)) % 32.86/33.12 (define @t237 () (= @t236 @t235)) % 32.86/33.12 (define @t238 () (tptp.multiplication @t52 @t55)) % 32.86/33.12 (define @t239 () (tptp.multiplication @t52 tptp.one)) % 32.86/33.12 (define @t240 () (tptp.addition @t239 @t238)) % 32.86/33.12 (define @t241 () (= (tptp.multiplication @t52 @t222) @t240)) % 32.86/33.12 (define @t242 () (tptp.addition tptp.one @t235)) % 32.86/33.12 (define @t243 () (= @t242 (tptp.addition (tptp.addition tptp.one @t218) @t219))) % 32.86/33.12 (define @t244 () (= @t52 @t239)) % 32.86/33.12 (define @t245 () (= @t54 @t218)) % 32.86/33.12 (define @t246 () (tptp.multiplication @t54 tptp.one)) % 32.86/33.12 (define @t247 () (= @t54 @t246)) % 32.86/33.12 (define @t248 () (and @t150 @t221 @t223 @t226 @t230 @t232 @t234 @t237 @t241 @t243 @t244 @t245 @t247)) % 32.86/33.12 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 32.86/33.12 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 32.86/33.12 (assume @p3 @t9) % 32.86/33.12 (assume @p4 @t11) % 32.86/33.12 (assume @p5 (forall @t14 (= (tptp.multiplication @t1 @t13) (tptp.multiplication @t12 @t5)))) % 32.86/33.12 (assume @p6 @t16) % 32.86/33.12 (assume @p7 @t18) % 32.86/33.12 (assume @p8 (forall @t14 (= (tptp.multiplication @t1 @t6) (tptp.addition @t12 @t19)))) % 32.86/33.12 (assume @p9 (forall @t14 (= (tptp.multiplication @t3 @t5) (tptp.addition @t19 @t13)))) % 32.86/33.12 (assume @p10 @t21) % 32.86/33.12 (assume @p11 @t24) % 32.86/33.12 (assume @p12 @t26) % 32.86/33.12 (assume @p13 @t30) % 32.86/33.12 (assume @p14 @t33) % 32.86/33.12 (assume @p15 (forall @t8 (= @t34 (tptp.addition (tptp.multiplication @t1 @t34) tptp.one)))) % 32.86/33.12 (assume @p16 (forall @t14 (=> (tptp.leq @t5 @t28) (tptp.leq @t5 (tptp.multiplication @t34 @t2))))) % 32.86/33.12 (assume @p17 (forall @t8 (= @t34 (tptp.addition @t22 (tptp.multiplication @t34 tptp.zero))))) % 32.86/33.12 (assume @p18 @t37) % 32.86/33.12 (assume @p19 @t45) % 32.86/33.12 (assume @p20 true) % 32.86/33.12 (step @p21 :rule eq-symm :args (@t10 @t1)) % 32.86/33.12 (step @p22 :rule cong :premises (@p21) :args (@t11)) % 32.86/33.12 (step @p23 :rule eq_resolve :premises (@p4 @p22)) % 32.86/33.12 (step @p24 :rule instantiate :premises (@p23) :args (@t46)) % 32.86/33.12 (step @p25 :rule instantiate :premises (@p17) :args (@t51)) % 32.86/33.12 (step @p26 :rule eq-symm :args (@t23 @t22)) % 32.86/33.12 (step @p27 :rule cong :premises (@p26) :args (@t24)) % 32.86/33.12 (step @p28 :rule eq_resolve :premises (@p11 @p27)) % 32.86/33.12 (step @p29 :rule instantiate :premises (@p28) :args (@t53)) % 32.86/33.12 (step @p30 :rule instantiate :premises (@p2) :args ((@list @t55 tptp.one tptp.one))) % 32.86/33.12 (step @p31 :rule instantiate :premises (@p2) :args ((@list @t57 @t56 tptp.one))) % 32.86/33.12 (step @p32 :rule eq-symm :args (@t3 @t2)) % 32.86/33.12 (step @p33 :rule refl :args (@t35)) % 32.86/33.12 (step @p34 :rule cong :premises (@p33 @p32) :args (@t36)) % 32.86/33.12 (step @p35 :rule cong :premises (@p34) :args (@t37)) % 32.86/33.12 (step @p36 :rule eq_resolve :premises (@p18 @p35)) % 32.86/33.12 (step @p37 :rule instantiate :premises (@p36) :args ((@list @t52 @t54))) % 32.86/33.12 (step @p38 :rule bool-impl-elim :args (@t32 @t31)) % 32.86/33.12 (step @p39 :rule cong :premises (@p38) :args (@t33)) % 32.86/33.12 (step @p40 :rule eq_resolve :premises (@p14 @p39)) % 32.86/33.12 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t62 @t62 @t62))) % 32.86/33.12 (step @p42 :rule instantiate :premises (@p36) :args ((@list @t62 @t62))) % 32.86/33.12 (step @p43 :rule instantiate :premises (@p15) :args (@t63)) % 32.86/33.12 (step @p44 :rule symm :premises (@p43)) % 32.86/33.12 (step @p45 :rule refl :args (@t62)) % 32.86/33.12 (step @p46 :rule cong :premises (@p45 @p44) :args ((tptp.addition @t62 @t65))) % 32.86/33.12 (step @p47 :rule instantiate :premises (@p2) :args ((@list tptp.one @t64 @t62))) % 32.86/33.12 (step @p48 :rule symm :premises (@p47)) % 32.86/33.12 (step @p49 :rule refl :args (tptp.one)) % 32.86/33.12 (step @p50 :rule instantiate :premises (@p17) :args (@t63)) % 32.86/33.12 (step @p51 :rule symm :premises (@p50)) % 32.86/33.12 (step @p52 :rule instantiate :premises (@p1) :args ((@list @t67 @t66))) % 32.86/33.12 (step @p53 :rule symm :premises (@p52)) % 32.86/33.12 (step @p54 :rule trans :premises (@p53 @p51)) % 32.86/33.12 (step @p55 :rule refl :args (@t61)) % 32.86/33.12 (step @p56 :rule cong :premises (@p55 @p54) :args (@t69)) % 32.86/33.12 (step @p57 :rule cong :premises (@p45 @p56) :args ((tptp.addition @t62 @t69))) % 32.86/33.12 (step @p58 :rule symm :premises (@p57)) % 32.86/33.12 (step @p59 :rule refl :args (@t64)) % 32.86/33.12 (step @p60 :rule instantiate :premises (@p1) :args ((@list @t64 tptp.one))) % 32.86/33.12 (step @p61 :rule symm :premises (@p60)) % 32.86/33.12 (step @p62 :rule trans :premises (@p61 @p44)) % 32.86/33.12 (step @p63 :rule cong :premises (@p62 @p59) :args ((tptp.addition @t70 @t64))) % 32.86/33.12 (step @p64 :rule instantiate :premises (@p2) :args ((@list @t64 @t64 tptp.one))) % 32.86/33.12 (step @p65 :rule instantiate :premises (@p9) :args ((@list @t61 @t61 @t62))) % 32.86/33.12 (step @p66 :rule instantiate :premises (@p23) :args (@t63)) % 32.86/33.12 (step @p67 :rule cong :premises (@p66 @p45) :args (@t64)) % 32.86/33.12 (step @p68 :rule trans :premises (@p67 @p65)) % 32.86/33.12 (step @p69 :rule cong :premises (@p49 @p68) :args (@t70)) % 32.86/33.12 (step @p70 :rule trans :premises (@p43 @p60 @p69 @p64 @p63 @p58)) % 32.86/33.12 (step @p71 :rule trans :premises (@p70 @p57)) % 32.86/33.12 (step @p72 :rule cong :premises (@p71 @p49) :args ((tptp.addition @t62 tptp.one))) % 32.86/33.12 (step @p73 :rule cong :premises (@p62 @p49) :args ((tptp.addition @t70 tptp.one))) % 32.86/33.12 (step @p74 :rule instantiate :premises (@p2) :args ((@list tptp.one @t64 tptp.one))) % 32.86/33.12 (step @p75 :rule trans :premises (@p51 @p43)) % 32.86/33.12 (step @p76 :rule cong :premises (@p49 @p75) :args (@t72)) % 32.86/33.12 (step @p77 :rule instantiate :premises (@p2) :args ((@list @t66 @t67 tptp.one))) % 32.86/33.12 (step @p78 :rule symm :premises (@p77)) % 32.86/33.12 (step @p79 :rule refl :args (@t66)) % 32.86/33.12 (step @p80 :rule eq-symm :args (@t25 @t22)) % 32.86/33.12 (step @p81 :rule cong :premises (@p80) :args (@t26)) % 32.86/33.12 (step @p82 :rule eq_resolve :premises (@p12 @p81)) % 32.86/33.12 (step @p83 :rule instantiate :premises (@p82) :args (@t63)) % 32.86/33.12 (step @p84 :rule symm :premises (@p83)) % 32.86/33.12 (step @p85 :rule cong :premises (@p49 @p84) :args (@t75)) % 32.86/33.12 (step @p86 :rule instantiate :premises (@p2) :args ((@list @t73 tptp.one tptp.one))) % 32.86/33.12 (step @p87 :rule symm :premises (@p86)) % 32.86/33.12 (step @p88 :rule refl :args (@t73)) % 32.86/33.12 (step @p89 :rule cong :premises (@p24 @p88) :args (@t74)) % 32.86/33.12 (step @p90 :rule trans :premises (@p83 @p89 @p87 @p85)) % 32.86/33.12 (step @p91 :rule cong :premises (@p90 @p79) :args (@t71)) % 32.86/33.12 (step @p92 :rule trans :premises (@p50 @p91 @p78 @p76 @p74 @p73 @p72 @p48 @p46)) % 32.86/33.12 (step @p93 :rule cnf_equiv_pos2 :args (@t79)) % 32.86/33.12 (step @p94 :rule reordering :premises (@p93) :args ((or @t78 @t81 @t80))) % 32.86/33.12 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p42) :args (@t78 @t82 (@list @t77 @t79))) % 32.86/33.12 (step @p96 :rule cnf_equiv_pos1 :args (@t79)) % 32.86/33.12 (step @p97 :rule reordering :premises (@p96) :args ((or @t77 @t83 @t80))) % 32.86/33.12 (step @p98 :rule eq-symm :args (@t15 @t1)) % 32.86/33.12 (step @p99 :rule cong :premises (@p98) :args (@t16)) % 32.86/33.12 (step @p100 :rule eq_resolve :premises (@p6 @p99)) % 32.86/33.12 (step @p101 :rule instantiate :premises (@p100) :args (@t84)) % 32.86/33.12 (step @p102 :rule eq-symm :args (@t7 @t1)) % 32.86/33.12 (step @p103 :rule cong :premises (@p102) :args (@t9)) % 32.86/33.12 (step @p104 :rule eq_resolve :premises (@p3 @p103)) % 32.86/33.12 (step @p105 :rule instantiate :premises (@p104) :args (@t46)) % 32.86/33.12 (step @p106 :rule instantiate :premises (@p1) :args ((@list tptp.one tptp.zero))) % 32.86/33.12 (step @p107 :rule instantiate :premises (@p100) :args (@t85)) % 32.86/33.12 (step @p108 :rule eq-symm :args (@t20 tptp.zero)) % 32.86/33.12 (step @p109 :rule cong :premises (@p108) :args (@t21)) % 32.86/33.12 (step @p110 :rule eq_resolve :premises (@p10 @p109)) % 32.86/33.12 (step @p111 :rule instantiate :premises (@p110) :args (@t85)) % 32.86/33.12 (step @p112 :rule instantiate :premises (@p110) :args ((@list tptp.zero))) % 32.86/33.12 (step @p113 :rule instantiate :premises (@p1) :args ((@list tptp.one @t67))) % 32.86/33.12 (step @p114 :rule instantiate :premises (@p8) :args ((@list @t67 @t64 tptp.one))) % 32.86/33.12 (step @p115 :rule instantiate :premises (@p5) :args ((@list @t62 tptp.zero tptp.zero))) % 32.86/33.12 (step @p116 :rule instantiate :premises (@p5) :args ((@list @t66 tptp.zero @t62))) % 32.86/33.12 (step @p117 :rule instantiate :premises (@p9) :args ((@list @t67 @t66 @t62))) % 32.86/33.12 (step @p118 :rule instantiate :premises (@p2) :args ((@list tptp.one @t67 @t86))) % 32.86/33.12 (step @p119 :rule instantiate :premises (@p8) :args ((@list @t62 tptp.zero tptp.one))) % 32.86/33.12 (step @p120 :rule instantiate :premises (@p2) :args ((@list @t91 @t90 @t88))) % 32.86/33.12 (step @p121 :rule instantiate :premises (@p1) :args ((@list @t61 @t62))) % 32.86/33.12 (step @p122 :rule symm :premises (@p121)) % 32.86/33.12 (step @p123 :rule instantiate :premises (@p23) :args (@t84)) % 32.86/33.12 (step @p124 :rule symm :premises (@p123)) % 32.86/33.12 (step @p125 :rule cong :premises (@p79 @p124) :args (@t93)) % 32.86/33.12 (step @p126 :rule instantiate :premises (@p2) :args ((@list @t67 @t67 @t66))) % 32.86/33.12 (step @p127 :rule symm :premises (@p126)) % 32.86/33.12 (step @p128 :rule refl :args (@t67)) % 32.86/33.12 (step @p129 :rule trans :premises (@p50 @p52)) % 32.86/33.12 (step @p130 :rule symm :premises (@p105)) % 32.86/33.12 (step @p131 :rule symm :premises (@p106)) % 32.86/33.12 (step @p132 :rule trans :premises (@p131 @p130)) % 32.86/33.12 (step @p133 :rule cong :premises (@p59 @p132) :args (@t95)) % 32.86/33.12 (step @p134 :rule instantiate :premises (@p2) :args ((@list tptp.one tptp.zero @t64))) % 32.86/33.12 (step @p135 :rule symm :premises (@p134)) % 32.86/33.12 (step @p136 :rule trans :premises (@p135 @p133 @p44)) % 32.86/33.12 (step @p137 :rule trans :premises (@p136 @p129)) % 32.86/33.12 (step @p138 :rule cong :premises (@p137 @p128) :args ((tptp.addition @t96 @t67))) % 32.86/33.12 (step @p139 :rule symm :premises (@p136)) % 32.86/33.12 (step @p140 :rule instantiate :premises (@p1) :args ((@list tptp.one @t73))) % 32.86/33.12 (step @p141 :rule symm :premises (@p140)) % 32.86/33.12 (step @p142 :rule trans :premises (@p141 @p84)) % 32.86/33.12 (step @p143 :rule cong :premises (@p79 @p142) :args ((tptp.addition @t66 @t97))) % 32.86/33.12 (step @p144 :rule instantiate :premises (@p2) :args ((@list tptp.one @t73 @t66))) % 32.86/33.12 (step @p145 :rule symm :premises (@p144)) % 32.86/33.12 (step @p146 :rule symm :premises (@p112)) % 32.86/33.12 (step @p147 :rule cong :premises (@p45 @p146) :args (@t90)) % 32.86/33.12 (step @p148 :rule symm :premises (@p115)) % 32.86/33.12 (step @p149 :rule instantiate :premises (@p110) :args (@t63)) % 32.86/33.12 (step @p150 :rule symm :premises (@p149)) % 32.86/33.12 (step @p151 :rule cong :premises (@p79 @p150) :args ((tptp.multiplication @t66 (tptp.multiplication tptp.zero @t61)))) % 32.86/33.12 (step @p152 :rule instantiate :premises (@p5) :args ((@list @t66 tptp.zero @t61))) % 32.86/33.12 (step @p153 :rule symm :premises (@p152)) % 32.86/33.12 (step @p154 :rule symm :premises (@p147)) % 32.86/33.12 (step @p155 :rule trans :premises (@p154 @p115)) % 32.86/33.12 (step @p156 :rule cong :premises (@p155 @p55) :args (@t98)) % 32.86/33.12 (step @p157 :rule trans :premises (@p156 @p153 @p151 @p148 @p147)) % 32.86/33.12 (step @p158 :rule cong :premises (@p157 @p88) :args ((tptp.addition @t98 @t73))) % 32.86/33.12 (step @p159 :rule instantiate :premises (@p9) :args ((@list @t66 @t67 @t61))) % 32.86/33.12 (step @p160 :rule cong :premises (@p129 @p55) :args (@t99)) % 32.86/33.12 (step @p161 :rule symm :premises (@p24)) % 32.86/33.12 (step @p162 :rule cong :premises (@p161 @p88) :args (@t101)) % 32.86/33.12 (step @p163 :rule cong :premises (@p49 @p83) :args (@t102)) % 32.86/33.12 (step @p164 :rule trans :premises (@p163 @p86 @p162 @p84)) % 32.86/33.12 (step @p165 :rule cong :premises (@p164 @p79) :args (@t103)) % 32.86/33.12 (step @p166 :rule trans :premises (@p77 @p165 @p51)) % 32.86/33.12 (step @p167 :rule cong :premises (@p166 @p55) :args ((tptp.multiplication @t72 @t61))) % 32.86/33.12 (step @p168 :rule instantiate :premises (@p9) :args ((@list tptp.one @t71 @t61))) % 32.86/33.12 (step @p169 :rule symm :premises (@p168)) % 32.86/33.12 (step @p170 :rule cong :premises (@p50 @p55) :args (@t99)) % 32.86/33.12 (step @p171 :rule eq-symm :args (@t17 @t1)) % 32.86/33.12 (step @p172 :rule cong :premises (@p171) :args (@t18)) % 32.86/33.12 (step @p173 :rule eq_resolve :premises (@p7 @p172)) % 32.86/33.12 (step @p174 :rule instantiate :premises (@p173) :args (@t63)) % 32.86/33.12 (step @p175 :rule cong :premises (@p174 @p170) :args ((tptp.addition @t61 @t99))) % 32.86/33.12 (step @p176 :rule instantiate :premises (@p1) :args ((@list @t99 @t61))) % 32.86/33.12 (step @p177 :rule trans :premises (@p176 @p175 @p169 @p167 @p160 @p159 @p158)) % 32.86/33.12 (step @p178 :rule symm :premises (@p176)) % 32.86/33.12 (step @p179 :rule symm :premises (@p175)) % 32.86/33.12 (step @p180 :rule symm :premises (@p167)) % 32.86/33.12 (step @p181 :rule trans :premises (@p180 @p168 @p179 @p178)) % 32.86/33.12 (step @p182 :rule trans :premises (@p181 @p177)) % 32.86/33.12 (step @p183 :rule cong :premises (@p182 @p49) :args (@t104)) % 32.86/33.12 (step @p184 :rule trans :premises (@p183 @p145 @p143 @p53 @p51)) % 32.86/33.12 (step @p185 :rule trans :premises (@p184 @p139)) % 32.86/33.12 (step @p186 :rule cong :premises (@p185 @p128) :args ((tptp.addition @t104 @t67))) % 32.86/33.12 (step @p187 :rule instantiate :premises (@p2) :args ((@list @t67 tptp.one @t99))) % 32.86/33.12 (step @p188 :rule refl :args (@t99)) % 32.86/33.12 (step @p189 :rule cong :premises (@p188 @p90) :args ((tptp.addition @t99 @t67))) % 32.86/33.12 (step @p190 :rule instantiate :premises (@p1) :args ((@list @t99 @t67))) % 32.86/33.12 (step @p191 :rule symm :premises (@p190)) % 32.86/33.12 (step @p192 :rule trans :premises (@p191 @p189 @p187 @p186 @p138 @p127 @p125 @p53 @p51)) % 32.86/33.12 (step @p193 :rule cong :premises (@p192 @p55) :args ((tptp.addition @t105 @t61))) % 32.86/33.12 (step @p194 :rule instantiate :premises (@p2) :args ((@list @t61 @t99 @t67))) % 32.86/33.12 (step @p195 :rule cong :premises (@p128 @p181) :args (@t105)) % 32.86/33.12 (step @p196 :rule symm :premises (@p189)) % 32.86/33.12 (step @p197 :rule symm :premises (@p187)) % 32.86/33.12 (step @p198 :rule symm :premises (@p186)) % 32.86/33.12 (step @p199 :rule symm :premises (@p138)) % 32.86/33.12 (step @p200 :rule symm :premises (@p125)) % 32.86/33.12 (step @p201 :rule trans :premises (@p50 @p52 @p200 @p126 @p199 @p198 @p197 @p196 @p190 @p195 @p194 @p193 @p122)) % 32.86/33.12 (step @p202 :rule refl :args (@t109)) % 32.86/33.12 (step @p203 :rule refl :args (@t113)) % 32.86/33.12 (step @p204 :rule refl :args (@t118)) % 32.86/33.12 (step @p205 :rule refl :args (@t122)) % 32.86/33.12 (step @p206 :rule bool-double-not-elim :args (@t125)) % 32.86/33.12 (step @p207 :rule refl :args (@t127)) % 32.86/33.12 (step @p208 :rule refl :args (@t132)) % 32.86/33.12 (step @p209 :rule refl :args (@t134)) % 32.86/33.12 (step @p210 :rule refl :args (@t139)) % 32.86/33.12 (step @p211 :rule refl :args (@t141)) % 32.86/33.12 (step @p212 :rule refl :args (@t143)) % 32.86/33.12 (step @p213 :rule refl :args (@t145)) % 32.86/33.12 (step @p214 :rule refl :args (@t83)) % 32.86/33.12 (step @p215 :rule refl :args (@t147)) % 32.86/33.12 (step @p216 :rule refl :args (@t149)) % 32.86/33.12 (step @p217 :rule refl :args (@t151)) % 32.86/33.12 (step @p218 :rule refl :args (@t154)) % 32.86/33.12 (step @p219 :rule refl :args (@t156)) % 32.86/33.12 (step @p220 :rule refl :args (@t158)) % 32.86/33.12 (step @p221 :rule refl :args (@t160)) % 32.86/33.12 (step @p222 :rule refl :args (@t162)) % 32.86/33.12 (step @p223 :rule refl :args (@t164)) % 32.86/33.12 (step @p224 :rule refl :args (@t166)) % 32.86/33.12 (step @p225 :rule nary_cong :premises (@p224 @p223 @p222 @p221 @p220 @p219 @p218 @p217 @p216 @p215 @p214 @p213 @p212 @p211 @p210 @p209 @p208 @p207 @p206 @p205 @p204 @p203 @p202) :args ((or @t166 @t164 @t162 @t160 @t158 @t156 @t154 @t151 @t149 @t147 @t83 @t145 @t143 @t141 @t139 @t134 @t132 @t127 (not @t167) @t122 @t118 @t113 @t109))) % 32.86/33.12 (assume-push @p667 @t78) % 32.86/33.12 (assume-push @p668 @t126) % 32.86/33.12 (assume-push @p669 @t163) % 32.86/33.12 (assume-push @p670 @t138) % 32.86/33.12 (assume-push @p671 @t159) % 32.86/33.12 (assume-push @p672 @t117) % 32.86/33.12 (assume-push @p673 @t155) % 32.86/33.12 (assume-push @p674 @t165) % 32.86/33.12 (assume-push @p675 @t140) % 32.86/33.12 (assume-push @p676 @t150) % 32.86/33.12 (assume-push @p677 @t148) % 32.86/33.12 (assume-push @p678 @t157) % 32.86/33.12 (assume-push @p679 @t153) % 32.86/33.12 (assume-push @p680 @t112) % 32.86/33.12 (assume-push @p681 @t142) % 32.86/33.12 (assume-push @p682 @t144) % 32.86/33.12 (assume-push @p683 @t108) % 32.86/33.12 (assume-push @p684 @t133) % 32.86/33.12 (assume-push @p685 @t146) % 32.86/33.12 (assume-push @p686 @t131) % 32.86/33.12 (assume-push @p687 @t121) % 32.86/33.12 (assume-push @p688 @t161) % 32.86/33.12 (assume-push @p689 @t167) % 32.86/33.12 (step @p249 :rule evaluate :args ((= false true))) % 32.86/33.12 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(@p830)) % 32.86/33.12 (step-pop @p832 :rule scope :premises (@p831)) % 32.86/33.12 (step-pop @p833 :rule scope :premises (@p832)) % 32.86/33.12 (step-pop @p834 :rule scope :premises (@p833)) % 32.86/33.12 (step @p484 :rule process_scope :premises (@p834) :args (@t189)) % 32.86/33.12 (step @p494 :rule implies_elim :premises (@p484)) % 32.86/33.12 (step @p495 :rule cnf_and_neg :args (@t190)) % 32.86/33.12 (step @p496 :rule resolution :premises (@p495 @p494) :args (true @t190)) % 32.86/33.12 (step @p497 :rule eq_resolve :premises (@p496 @p449)) % 32.86/33.12 (step @p498 :rule reordering :premises (@p497) :args ((or @t166 @t164 @t160 @t151 @t156 @t141 @t139 @t170 @t118 @t189))) % 32.86/33.12 (step @p499 :rule bool-impl-elim :args (@t29 @t27)) % 32.86/33.12 (step @p500 :rule cong :premises (@p499) :args (@t30)) % 32.86/33.12 (step @p501 :rule eq_resolve :premises (@p13 @p500)) % 32.86/33.12 (step @p502 :rule instantiate :premises (@p501) :args ((@list @t61 @t62 @t62))) % 32.86/33.12 (step @p503 :rule cnf_or_pos :args (@t192)) % 32.86/33.12 (step @p504 :rule reordering :premises (@p503) :args ((or @t191 @t188 (not @t192)))) % 32.86/33.12 (step @p505 :rule chain_m_resolution :premises (@p504 @p502 @p498 @p118 @p114 @p86 @p113 @p24 @p101 @p43 @p83 @p446 @p119 @p126 @p373 @p372 @p371 @p134 @p140 @p86 @p112 @p107 @p52 @p24 @p106 @p123 @p105 @p50 @p43 @p83 @p370 @p368 @p367 @p201 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p86 @p113 @p112 @p111 @p107 @p24 @p106 @p105 @p101 @p50 @p43 @p83 @p97 @p42) :args ((or @t83 @t125) (@list 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 true false true false false false false false false false false false false false false false false false false false false false false false false) (@list @t192 @t188 @t117 @t138 @t140 @t155 @t150 @t159 @t163 @t165 @t186 @t112 @t184 @t183 @t181 @t178 @t176 @t175 @t140 @t142 @t148 @t174 @t150 @t153 @t173 @t157 @t161 @t163 @t165 @t170 @t171 @t126 @t144 @t108 @t112 @t117 @t121 @t131 @t133 @t138 @t140 @t155 @t142 @t146 @t148 @t150 @t153 @t157 @t159 @t161 @t163 @t165 @t77 @t79))) % 32.86/33.12 (step @p506 :rule chain_m_resolution :premises (@p505 @p95) :args (@t125 @t193 (@list @t78))) % 32.86/33.12 (step @p507 :rule cnf_or_pos :args (@t197)) % 32.86/33.12 (step @p508 :rule reordering :premises (@p507) :args ((or @t167 @t196 (not @t197)))) % 32.86/33.12 (step @p509 :rule chain_m_resolution :premises (@p508 @p506 @p41) :args (@t196 @t82 (@list @t125 @t197))) % 32.86/33.12 (step @p510 :rule refl :args (@t194)) % 32.86/33.12 (step @p511 :rule cong :premises (@p166 @p510) :args ((tptp.multiplication @t72 @t194))) % 32.86/33.12 (step @p512 :rule instantiate :premises (@p9) :args ((@list tptp.one @t71 @t194))) % 32.86/33.12 (step @p513 :rule symm :premises (@p512)) % 32.86/33.12 (step @p514 :rule cong :premises (@p50 @p510) :args (@t195)) % 32.86/33.12 (step @p515 :rule instantiate :premises (@p173) :args (@t198)) % 32.86/33.12 (step @p516 :rule instantiate :premises (@p28) :args (@t85)) % 32.86/33.12 (step @p517 :rule symm :premises (@p516)) % 32.86/33.12 (step @p518 :rule trans :premises (@p517 @p515)) % 32.86/33.12 (step @p519 :rule refl :args (@t195)) % 32.86/33.12 (step @p520 :rule cong :premises (@p161 @p519) :args ((tptp.addition @t100 @t195))) % 32.86/33.12 (step @p521 :rule instantiate :premises (@p2) :args ((@list @t195 tptp.one tptp.one))) % 32.86/33.12 (step @p522 :rule instantiate :premises (@p1) :args ((@list tptp.one (tptp.addition tptp.one @t195)))) % 32.86/33.12 (step @p523 :rule symm :premises (@p522)) % 32.86/33.12 (step @p524 :rule cong :premises (@p516 @p49) :args (@t199)) % 32.86/33.12 (step @p525 :rule trans :premises (@p524 @p523 @p521 @p520)) % 32.86/33.12 (step @p526 :rule trans :premises (@p525 @p518)) % 32.86/33.12 (step @p527 :rule cong :premises (@p526 @p514) :args ((tptp.addition @t199 @t195))) % 32.86/33.12 (step @p528 :rule instantiate :premises (@p2) :args ((@list @t195 tptp.one @t194))) % 32.86/33.12 (step @p529 :rule cong :premises (@p510 @p516) :args ((tptp.addition @t194 @t194))) % 32.86/33.12 (step @p530 :rule instantiate :premises (@p23) :args (@t198)) % 32.86/33.12 (step @p531 :rule trans :premises (@p530 @p529 @p528 @p527 @p513 @p511)) % 32.86/33.12 (step @p532 :rule refl :args (@t200)) % 32.86/33.12 (step @p533 :rule refl :args (@t202)) % 32.86/33.12 (step @p534 :rule bool-double-not-elim :args (@t203)) % 32.86/33.12 (step @p535 :rule nary_cong :premises (@p534 @p533 @p532) :args ((or (not @t204) @t202 @t200))) % 32.86/33.12 (assume-push @p835 @t204) % 32.86/33.12 (assume-push @p836 @t201) % 32.86/33.12 (assume-push @p837 @t196) % 32.86/33.12 (step @p539 :rule evaluate :args ((= true false))) % 32.86/33.12 (step @p540 :rule false_intro :premises (@p835)) % 32.86/33.12 (step @p541 :rule symm :premises (@p531)) % 32.86/33.12 (step @p542 :rule cong :premises (@p541 @p45) :args (@t196)) % 32.86/33.12 (step @p543 :rule true_intro :premises (@p837)) % 32.86/33.12 (step @p544 :rule symm :premises (@p543)) % 32.86/33.12 (step @p545 :rule trans :premises (@p544 @p542 @p540)) % 32.86/33.12 (step @p546 false :rule eq_resolve :premises (@p545 @p539)) % 32.86/33.12 (step-pop @p838 :rule scope :premises (@p546)) % 32.86/33.12 (step-pop @p839 :rule scope :premises (@p838)) % 32.86/33.12 (step-pop @p840 :rule scope :premises (@p839)) % 32.86/33.12 (step @p547 :rule process_scope :premises (@p840) :args (false)) % 32.86/33.12 (step @p551 :rule not_and :premises (@p547)) % 32.86/33.12 (step @p552 :rule eq_resolve :premises (@p551 @p535)) % 32.86/33.12 (step @p553 :rule chain_m_resolution :premises (@p552 @p531 @p509) :args (@t203 @t82 (@list @t201 @t196))) % 32.86/33.12 (step @p554 :rule refl :args (@t204)) % 32.86/33.12 (step @p555 :rule bool-double-not-elim :args (@t60)) % 32.86/33.12 (step @p556 :rule nary_cong :premises (@p555 @p554) :args ((or (not @t205) @t204))) % 32.86/33.12 (assume-push @p841 @t205) % 32.86/33.12 (step @p558 :rule skolemize :premises (@p841)) % 32.86/33.12 (step-pop @p842 :rule scope :premises (@p558)) % 32.86/33.12 (step @p559 :rule process_scope :premises (@p842) :args (@t204)) % 32.86/33.12 (step @p561 :rule implies_elim :premises (@p559)) % 32.86/33.12 (step @p562 :rule eq_resolve :premises (@p561 @p556)) % 32.86/33.12 (step @p563 :rule chain_m_resolution :premises (@p562 @p553) :args (@t60 @t193 (@list @t203))) % 32.86/33.12 (step @p564 :rule alpha_equiv :args (@t206 @t207 (@list @t47))) % 32.86/33.12 (step @p565 :rule alpha_equiv :args (@t208 @t207 (@list @t58))) % 32.86/33.12 (step @p566 :rule nary_cong :premises (@p565 @p564) :args (@t209)) % 32.86/33.12 (step @p567 :rule quant-miniscope-and :args ((= @t44 @t209))) % 32.86/33.12 (step @p568 :rule trans :premises (@p567 @p566)) % 32.86/33.12 (step @p569 :rule cong :premises (@p568) :args (@t45)) % 32.86/33.12 (step @p570 :rule eq_resolve :premises (@p19 @p569)) % 32.86/33.12 (step @p571 :rule not_and :premises (@p570)) % 32.86/33.12 (step @p572 :rule chain_m_resolution :premises (@p571 @p563) :args (@t210 @t193 (@list @t60))) % 32.86/33.12 (step @p573 :rule refl :args (@t212)) % 32.86/33.12 (step @p574 :rule bool-double-not-elim :args (@t49)) % 32.86/33.12 (step @p575 :rule nary_cong :premises (@p574 @p573) :args ((or (not @t210) @t212))) % 32.86/33.12 (assume-push @p843 @t210) % 32.86/33.12 (step @p577 :rule skolemize :premises (@p843)) % 32.86/33.12 (step-pop @p844 :rule scope :premises (@p577)) % 32.86/33.12 (step @p578 :rule process_scope :premises (@p844) :args (@t212)) % 32.86/33.12 (step @p580 :rule implies_elim :premises (@p578)) % 32.86/33.12 (step @p581 :rule eq_resolve :premises (@p580 @p575)) % 32.86/33.12 (step @p582 :rule chain_m_resolution :premises (@p581 @p572) :args (@t212 (@list true) (@list @t49))) % 32.86/33.12 (step @p583 :rule cnf_equiv_pos2 :args (@t214)) % 32.86/33.12 (step @p584 :rule reordering :premises (@p583) :args ((or @t211 @t215 (not @t214)))) % 32.86/33.12 (step @p585 :rule chain_m_resolution :premises (@p584 @p582 @p37) :args (@t215 (@list true false) (@list @t211 @t214))) % 32.86/33.12 (step @p586 :rule instantiate :premises (@p28) :args (@t51)) % 32.86/33.12 (step @p587 :rule instantiate :premises (@p2) :args ((@list @t216 tptp.one tptp.one))) % 32.86/33.12 (step @p588 :rule instantiate :premises (@p9) :args ((@list tptp.one @t217 @t54))) % 32.86/33.12 (step @p589 :rule instantiate :premises (@p8) :args ((@list @t52 tptp.one @t55))) % 32.86/33.12 (step @p590 :rule instantiate :premises (@p2) :args ((@list @t219 @t218 tptp.one))) % 32.86/33.12 (step @p591 :rule instantiate :premises (@p173) :args (@t220)) % 32.86/33.12 (step @p592 :rule instantiate :premises (@p100) :args (@t220)) % 32.86/33.12 (step @p593 :rule instantiate :premises (@p100) :args (@t53)) % 32.86/33.12 (assume-push @p845 @t150) % 32.86/33.12 (assume-push @p846 @t221) % 32.86/33.12 (assume-push @p847 @t223) % 32.86/33.12 (assume-push @p848 @t226) % 32.86/33.12 (assume-push @p849 @t230) % 32.86/33.12 (assume-push @p850 @t232) % 32.86/33.12 (assume-push @p851 @t234) % 32.86/33.12 (assume-push @p852 @t237) % 32.86/33.12 (assume-push @p853 @t241) % 32.86/33.12 (assume-push @p854 @t243) % 32.86/33.12 (assume-push @p855 @t244) % 32.86/33.12 (assume-push @p856 @t245) % 32.86/33.12 (assume-push @p857 @t247) % 32.86/33.12 (step @p607 :rule symm :premises (@p592)) % 32.86/33.12 (step @p608 :rule symm :premises (@p593)) % 32.86/33.12 (step @p609 :rule cong :premises (@p608 @p607) :args ((tptp.addition @t239 @t246))) % 32.86/33.12 (step @p610 :rule symm :premises (@p29)) % 32.86/33.12 (step @p611 :rule refl :args (@t55)) % 32.86/33.12 (step @p612 :rule cong :premises (@p161 @p611) :args (@t224)) % 32.86/33.12 (step @p613 :rule refl :args (@t54)) % 32.86/33.12 (step @p614 :rule symm :premises (@p25)) % 32.86/33.12 (step @p615 :rule refl :args (@t57)) % 32.86/33.12 (step @p616 :rule symm :premises (@p586)) % 32.86/33.12 (step @p617 :rule refl :args (@t216)) % 32.86/33.12 (step @p618 :rule cong :premises (@p161 @p617) :args (@t233)) % 32.86/33.12 (step @p619 :rule cong :premises (@p49 @p586) :args (@t227)) % 32.86/33.12 (step @p620 :rule trans :premises (@p619 @p587 @p618 @p616)) % 32.86/33.12 (step @p621 :rule cong :premises (@p620 @p615) :args (@t228)) % 32.86/33.12 (step @p622 :rule trans :premises (@p31 @p621 @p614)) % 32.86/33.12 (step @p623 :rule cong :premises (@p622 @p613) :args (@t236)) % 32.86/33.12 (step @p624 :rule symm :premises (@p588)) % 32.86/33.12 (step @p625 :rule trans :premises (@p624 @p623)) % 32.86/33.12 (step @p626 :rule cong :premises (@p24 @p625) :args (@t242)) % 32.86/33.12 (step @p627 :rule symm :premises (@p590)) % 32.86/33.12 (step @p628 :rule refl :args (@t219)) % 32.86/33.12 (step @p629 :rule trans :premises (@p610 @p591)) % 32.86/33.12 (step @p630 :rule cong :premises (@p49 @p629) :args (@t225)) % 32.86/33.12 (step @p631 :rule symm :premises (@p30)) % 32.86/33.12 (step @p632 :rule symm :premises (@p612)) % 32.86/33.12 (step @p633 :rule trans :premises (@p29 @p632 @p631 @p630)) % 32.86/33.12 (step @p634 :rule symm :premises (@p591)) % 32.86/33.12 (step @p635 :rule trans :premises (@p634 @p633)) % 32.86/33.12 (step @p636 :rule cong :premises (@p635 @p628) :args (@t235)) % 32.86/33.12 (step @p637 :rule symm :premises (@p623)) % 32.86/33.12 (step @p638 :rule trans :premises (@p637 @p588 @p636 @p627 @p626 @p612 @p610)) % 32.86/33.12 (step @p639 :rule refl :args (@t52)) % 32.86/33.12 (step @p640 :rule cong :premises (@p639 @p638) :args (@t238)) % 32.86/33.12 (step @p641 :rule trans :premises (@p640 @p637 @p588 @p636 @p627 @p626 @p612 @p610 @p592)) % 32.86/33.12 (step @p642 :rule refl :args (@t239)) % 32.86/33.12 (step @p643 :rule cong :premises (@p642 @p641) :args (@t240)) % 32.86/33.12 (step @p644 :rule cong :premises (@p639 @p29) :args (@t55)) % 32.86/33.12 (step @p645 :rule symm :premises (@p636)) % 32.86/33.12 (step @p646 :rule symm :premises (@p626)) % 32.86/33.12 (step @p647 :rule trans :premises (@p29 @p632 @p646 @p590 @p645 @p624 @p623 @p644 @p589 @p643 @p609)) % 32.86/33.12 (step-pop @p858 :rule scope :premises (@p647)) % 32.86/33.12 (step-pop @p859 :rule scope :premises (@p858)) % 32.86/33.12 (step-pop @p860 :rule scope :premises (@p859)) % 32.86/33.12 (step-pop @p861 :rule scope :premises (@p860)) % 32.86/33.12 (step-pop @p862 :rule scope :premises (@p861)) % 32.86/33.12 (step-pop @p863 :rule scope :premises (@p862)) % 32.86/33.12 (step-pop @p864 :rule scope :premises (@p863)) % 32.86/33.12 (step-pop @p865 :rule scope :premises (@p864)) % 32.86/33.12 (step-pop @p866 :rule scope :premises (@p865)) % 32.86/33.12 (step-pop @p867 :rule scope :premises (@p866)) % 32.86/33.12 (step-pop @p868 :rule scope :premises (@p867)) % 32.86/33.12 (step-pop @p869 :rule scope :premises (@p868)) % 32.86/33.12 (step-pop @p870 :rule scope :premises (@p869)) % 32.86/33.12 (step @p648 :rule process_scope :premises (@p870) :args (@t213)) % 32.86/33.12 (step @p662 :rule implies_elim :premises (@p648)) % 32.86/33.12 (step @p663 :rule cnf_and_neg :args (@t248)) % 32.86/33.12 (step @p664 :rule resolution :premises (@p663 @p662) :args (true @t248)) % 32.86/33.12 (step @p665 :rule reordering :premises (@p664) :args ((or @t151 (not @t221) (not @t223) (not @t226) (not @t230) @t213 (not @t232) (not @t234) (not @t237) (not @t241) (not @t243) (not @t245) (not @t247) (not @t244)))) % 32.86/33.12 (step @p666 false :rule chain_m_resolution :premises (@p665 @p593 @p592 @p591 @p590 @p589 @p588 @p587 @p586 @p585 @p31 @p30 @p29 @p25 @p24) :args (false (@list false false false false false false false false true false false false false false) (@list @t244 @t247 @t245 @t243 @t241 @t237 @t234 @t232 @t213 @t230 @t226 @t223 @t221 @t150))) % 32.86/33.12 ) % 32.86/33.12 % SZS output end Proof % 32.86/33.12 % cvc5 exiting %------------------------------------------------------------------------------