%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP776+1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:21:29 AM UTC 2026 % Result : Theorem 0.52s 0.75s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP776+1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.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 : Tue Jun 2 02:03:26 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.75 % SZS status Theorem % 0.52/0.75 % SZS output start Proof % 0.52/0.75 ( % 0.52/0.75 (declare-sort $$unsorted 0) % 0.52/0.75 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.52/0.75 (declare-const tptp.h (-> $$unsorted Bool)) % 0.52/0.75 (declare-const tptp.eg $$unsorted) % 0.52/0.75 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.75 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.52/0.75 (declare-const tptp.opp (-> $$unsorted $$unsorted)) % 0.52/0.75 (declare-const tptp.g (-> $$unsorted Bool)) % 0.52/0.75 (declare-const tptp.eh $$unsorted) % 0.52/0.75 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.75 (define @t1 () (@var "B" $$unsorted)) % 0.52/0.75 (define @t2 () (@var "A" $$unsorted)) % 0.52/0.75 (define @t3 () (tptp.product @t2 @t1)) % 0.52/0.75 (define @t4 () (tptp.g @t1)) % 0.52/0.75 (define @t5 () (tptp.g @t2)) % 0.52/0.75 (define @t6 () (@list @t1 @t2)) % 0.52/0.75 (define @t7 () (tptp.inv @t2)) % 0.52/0.75 (define @t8 () (tptp.g @t7)) % 0.52/0.75 (define @t9 () (@list @t2)) % 0.52/0.75 (define @t10 () (forall @t9 (=> @t5 @t8))) % 0.52/0.75 (define @t11 () (tptp.g tptp.eh)) % 0.52/0.75 (define @t12 () (@var "C" $$unsorted)) % 0.52/0.75 (define @t13 () (= (tptp.product @t3 @t12) (tptp.product @t2 (tptp.product @t1 @t12)))) % 0.52/0.75 (define @t14 () (tptp.g @t12)) % 0.52/0.75 (define @t15 () (and @t5 @t4 @t14)) % 0.52/0.75 (define @t16 () (@list @t12 @t1 @t2)) % 0.52/0.75 (define @t17 () (forall @t16 (=> @t15 @t13))) % 0.52/0.75 (define @t18 () (tptp.product tptp.eh @t2)) % 0.52/0.75 (define @t19 () (=> @t5 (= @t18 @t2))) % 0.52/0.75 (define @t20 () (forall @t9 @t19)) % 0.52/0.75 (define @t21 () (tptp.product @t2 tptp.eh)) % 0.52/0.75 (define @t22 () (=> @t5 (= @t21 @t2))) % 0.52/0.75 (define @t23 () (forall @t9 @t22)) % 0.52/0.75 (define @t24 () (tptp.product @t2 @t7)) % 0.52/0.75 (define @t25 () (=> @t5 (= @t24 tptp.eh))) % 0.52/0.75 (define @t26 () (forall @t9 @t25)) % 0.52/0.75 (define @t27 () (tptp.product @t7 @t2)) % 0.52/0.75 (define @t28 () (=> @t5 (= @t27 tptp.eh))) % 0.52/0.75 (define @t29 () (forall @t9 @t28)) % 0.52/0.75 (define @t30 () (tptp.sum @t2 @t1)) % 0.52/0.75 (define @t31 () (tptp.h @t1)) % 0.52/0.75 (define @t32 () (tptp.h @t2)) % 0.52/0.75 (define @t33 () (tptp.h (tptp.opp @t1))) % 0.52/0.75 (define @t34 () (forall @t6 (=> @t32 @t33))) % 0.52/0.75 (define @t35 () (= (tptp.sum @t30 @t12) (tptp.sum @t2 (tptp.sum @t1 @t12)))) % 0.52/0.75 (define @t36 () (tptp.h @t12)) % 0.52/0.75 (define @t37 () (and @t32 @t31 @t36)) % 0.52/0.75 (define @t38 () (forall @t16 (=> @t37 @t35))) % 0.52/0.75 (define @t39 () (tptp.sum tptp.eg @t2)) % 0.52/0.75 (define @t40 () (=> @t32 (= @t39 @t2))) % 0.52/0.75 (define @t41 () (forall @t9 @t40)) % 0.52/0.75 (define @t42 () (tptp.sum @t2 tptp.eg)) % 0.52/0.75 (define @t43 () (=> @t32 (= @t42 @t2))) % 0.52/0.75 (define @t44 () (forall @t9 @t43)) % 0.52/0.75 (define @t45 () (tptp.opp @t2)) % 0.52/0.75 (define @t46 () (tptp.sum @t2 @t45)) % 0.52/0.75 (define @t47 () (=> @t32 (= @t46 tptp.eg))) % 0.52/0.75 (define @t48 () (forall @t9 @t47)) % 0.52/0.75 (define @t49 () (tptp.sum @t45 @t2)) % 0.52/0.75 (define @t50 () (=> @t32 (= @t49 tptp.eg))) % 0.52/0.75 (define @t51 () (forall @t9 @t50)) % 0.52/0.75 (define @t52 () (tptp.f @t2)) % 0.52/0.75 (define @t53 () (tptp.h @t52)) % 0.52/0.75 (define @t54 () (forall @t9 (=> @t5 @t53))) % 0.52/0.75 (define @t55 () (@var "X0" $$unsorted)) % 0.52/0.75 (define @t56 () (or (not (tptp.g @t55)) (= (tptp.f (tptp.inv @t55)) (tptp.opp (tptp.f @t55))))) % 0.52/0.75 (define @t57 () (tptp.f tptp.eh)) % 0.52/0.75 (define @t58 () (and (= @t57 tptp.eg) @t56)) % 0.52/0.75 (define @t59 () (@list @t55)) % 0.52/0.75 (define @t60 () (forall @t59 @t58)) % 0.52/0.75 (define @t61 () (not @t60)) % 0.52/0.75 (define @t62 () (= @t2 @t39)) % 0.52/0.75 (define @t63 () (@list @t57)) % 0.52/0.75 (define @t64 () (@list tptp.eh)) % 0.52/0.75 (define @t65 () (tptp.h @t57)) % 0.52/0.75 (define @t66 () (not @t11)) % 0.52/0.75 (define @t67 () (or @t66 @t65)) % 0.52/0.75 (define @t68 () (@list false false)) % 0.52/0.75 (define @t69 () (= @t57 (tptp.sum tptp.eg @t57))) % 0.52/0.75 (define @t70 () (not @t65)) % 0.52/0.75 (define @t71 () (or @t70 @t69)) % 0.52/0.75 (define @t72 () (= @t2 @t21)) % 0.52/0.75 (define @t73 () (@var "BOUND_VARIABLE_7612" $$unsorted)) % 0.52/0.75 (define @t74 () (forall (@list @t73) (or (not (tptp.g @t73)) (= (tptp.f (tptp.inv @t73)) (tptp.opp (tptp.f @t73)))))) % 0.52/0.75 (define @t75 () (@quantifiers_skolemize @t74 0)) % 0.52/0.75 (define @t76 () (tptp.inv @t75)) % 0.52/0.75 (define @t77 () (@list @t76)) % 0.52/0.75 (define @t78 () (@list @t75)) % 0.52/0.75 (define @t79 () (forall @t59 @t56)) % 0.52/0.75 (define @t80 () (= tptp.eg @t57)) % 0.52/0.75 (define @t81 () (forall @t59 @t80)) % 0.52/0.75 (define @t82 () (and @t81 @t79)) % 0.52/0.75 (define @t83 () (tptp.inv tptp.eh)) % 0.52/0.75 (define @t84 () (tptp.f @t83)) % 0.52/0.75 (define @t85 () (tptp.opp @t57)) % 0.52/0.75 (define @t86 () (or @t66 (= @t84 @t85))) % 0.52/0.75 (define @t87 () (= @t85 @t84)) % 0.52/0.75 (define @t88 () (or @t66 @t87)) % 0.52/0.75 (define @t89 () (= @t2 @t18)) % 0.52/0.75 (define @t90 () (tptp.product tptp.eh tptp.eh)) % 0.52/0.75 (define @t91 () (= tptp.eh @t90)) % 0.52/0.75 (define @t92 () (or @t66 @t91)) % 0.52/0.75 (define @t93 () (= tptp.eh @t24)) % 0.52/0.75 (define @t94 () (tptp.product tptp.eh @t83)) % 0.52/0.75 (define @t95 () (= tptp.eh @t94)) % 0.52/0.75 (define @t96 () (or @t66 @t95)) % 0.52/0.75 (define @t97 () (= tptp.eg @t46)) % 0.52/0.75 (define @t98 () (tptp.sum @t57 @t85)) % 0.52/0.75 (define @t99 () (= tptp.eg @t98)) % 0.52/0.75 (define @t100 () (or @t70 @t99)) % 0.52/0.75 (define @t101 () (tptp.g @t83)) % 0.52/0.75 (define @t102 () (or @t66 @t101)) % 0.52/0.75 (define @t103 () (= @t83 @t94)) % 0.52/0.75 (define @t104 () (not @t101)) % 0.52/0.75 (define @t105 () (or @t104 @t103)) % 0.52/0.75 (define @t106 () (tptp.f @t90)) % 0.52/0.75 (define @t107 () (= @t106 (tptp.sum @t57 @t57))) % 0.52/0.75 (define @t108 () (and @t91 @t95 @t103 @t99 @t107 @t87)) % 0.52/0.75 (define @t109 () (not @t103)) % 0.52/0.75 (define @t110 () (not @t95)) % 0.52/0.75 (define @t111 () (not @t74)) % 0.52/0.75 (define @t112 () (tptp.f @t75)) % 0.52/0.75 (define @t113 () (tptp.opp @t112)) % 0.52/0.75 (define @t114 () (tptp.f @t76)) % 0.52/0.75 (define @t115 () (= @t114 @t113)) % 0.52/0.75 (define @t116 () (tptp.g @t75)) % 0.52/0.75 (define @t117 () (not @t116)) % 0.52/0.75 (define @t118 () (or @t117 @t115)) % 0.52/0.75 (define @t119 () (not @t118)) % 0.52/0.75 (define @t120 () (@list true)) % 0.52/0.75 (define @t121 () (@list @t118)) % 0.52/0.75 (define @t122 () (tptp.g @t76)) % 0.52/0.75 (define @t123 () (or @t117 @t122)) % 0.52/0.75 (define @t124 () (tptp.product @t76 tptp.eh)) % 0.52/0.75 (define @t125 () (= @t76 @t124)) % 0.52/0.75 (define @t126 () (not @t122)) % 0.52/0.75 (define @t127 () (or @t126 @t125)) % 0.52/0.75 (define @t128 () (tptp.inv @t76)) % 0.52/0.75 (define @t129 () (tptp.product @t76 @t128)) % 0.52/0.75 (define @t130 () (= tptp.eh @t129)) % 0.52/0.75 (define @t131 () (or @t126 @t130)) % 0.52/0.75 (define @t132 () (@list @t114)) % 0.52/0.75 (define @t133 () (tptp.h @t114)) % 0.52/0.75 (define @t134 () (or @t126 @t133)) % 0.52/0.75 (define @t135 () (tptp.sum tptp.eg @t114)) % 0.52/0.75 (define @t136 () (= @t114 @t135)) % 0.52/0.75 (define @t137 () (not @t133)) % 0.52/0.75 (define @t138 () (or @t137 @t136)) % 0.52/0.75 (define @t139 () (= tptp.eg @t49)) % 0.52/0.75 (define @t140 () (tptp.opp @t114)) % 0.52/0.75 (define @t141 () (tptp.sum @t140 @t114)) % 0.52/0.75 (define @t142 () (= tptp.eg @t141)) % 0.52/0.75 (define @t143 () (or @t137 @t142)) % 0.52/0.75 (define @t144 () (not @t14)) % 0.52/0.75 (define @t145 () (not @t4)) % 0.52/0.75 (define @t146 () (not @t5)) % 0.52/0.75 (define @t147 () (or @t146 @t145 @t144)) % 0.52/0.75 (define @t148 () (tptp.g @t128)) % 0.52/0.75 (define @t149 () (or @t126 @t148)) % 0.52/0.75 (define @t150 () (tptp.product @t76 @t129)) % 0.52/0.75 (define @t151 () (tptp.product @t76 @t76)) % 0.52/0.75 (define @t152 () (tptp.product @t151 @t128)) % 0.52/0.75 (define @t153 () (= @t152 @t150)) % 0.52/0.75 (define @t154 () (not @t148)) % 0.52/0.75 (define @t155 () (or @t126 @t126 @t154 @t153)) % 0.52/0.75 (define @t156 () (@list false false false)) % 0.52/0.75 (define @t157 () (not @t36)) % 0.52/0.75 (define @t158 () (not @t31)) % 0.52/0.75 (define @t159 () (not @t32)) % 0.52/0.75 (define @t160 () (or @t159 @t158 @t157)) % 0.52/0.75 (define @t161 () (tptp.f @t128)) % 0.52/0.75 (define @t162 () (@list @t128)) % 0.52/0.75 (define @t163 () (tptp.h @t161)) % 0.52/0.75 (define @t164 () (or @t154 @t163)) % 0.52/0.75 (define @t165 () (tptp.sum @t114 @t161)) % 0.52/0.75 (define @t166 () (tptp.sum @t114 @t114)) % 0.52/0.75 (define @t167 () (tptp.sum @t166 @t161)) % 0.52/0.75 (define @t168 () (= @t167 (tptp.sum @t114 @t165))) % 0.52/0.75 (define @t169 () (not @t163)) % 0.52/0.75 (define @t170 () (or @t137 @t137 @t169 @t168)) % 0.52/0.75 (define @t171 () (forall @t9 @t159)) % 0.52/0.75 (define @t172 () (@list false)) % 0.52/0.75 (define @t173 () (forall (@list @t1) @t33)) % 0.52/0.75 (define @t174 () (or @t159 @t33)) % 0.52/0.75 (define @t175 () (forall (@list @t2 @t1) @t174)) % 0.52/0.75 (define @t176 () (@list @t112)) % 0.52/0.75 (define @t177 () (tptp.h @t113)) % 0.52/0.75 (define @t178 () (@list @t173)) % 0.52/0.75 (define @t179 () (tptp.sum @t161 @t114)) % 0.52/0.75 (define @t180 () (tptp.sum @t113 @t179)) % 0.52/0.75 (define @t181 () (= (tptp.sum (tptp.sum @t113 @t161) @t114) @t180)) % 0.52/0.75 (define @t182 () (not @t177)) % 0.52/0.75 (define @t183 () (or @t182 @t169 @t137 @t181)) % 0.52/0.75 (define @t184 () (@list false false false false)) % 0.52/0.75 (define @t185 () (= @t128 (tptp.product @t128 tptp.eh))) % 0.52/0.75 (define @t186 () (or @t154 @t185)) % 0.52/0.75 (define @t187 () (tptp.product tptp.eh @t128)) % 0.52/0.75 (define @t188 () (= @t128 @t187)) % 0.52/0.75 (define @t189 () (or @t154 @t188)) % 0.52/0.75 (define @t190 () (tptp.product @t76 @t75)) % 0.52/0.75 (define @t191 () (tptp.product @t128 @t190)) % 0.52/0.75 (define @t192 () (tptp.product @t128 @t76)) % 0.52/0.75 (define @t193 () (= (tptp.product @t192 @t75) @t191)) % 0.52/0.75 (define @t194 () (or @t154 @t126 @t117 @t193)) % 0.52/0.75 (define @t195 () (= tptp.eh @t27)) % 0.52/0.75 (define @t196 () (= tptp.eh @t192)) % 0.52/0.75 (define @t197 () (or @t126 @t196)) % 0.52/0.75 (define @t198 () (= @t2 @t42)) % 0.52/0.75 (define @t199 () (= @t113 (tptp.sum @t113 tptp.eg))) % 0.52/0.75 (define @t200 () (or @t182 @t199)) % 0.52/0.75 (define @t201 () (tptp.h @t112)) % 0.52/0.75 (define @t202 () (or @t117 @t201)) % 0.52/0.75 (define @t203 () (tptp.sum @t113 @t112)) % 0.52/0.75 (define @t204 () (= tptp.eg @t203)) % 0.52/0.75 (define @t205 () (not @t201)) % 0.52/0.75 (define @t206 () (or @t205 @t204)) % 0.52/0.75 (define @t207 () (= tptp.eh @t190)) % 0.52/0.75 (define @t208 () (or @t117 @t207)) % 0.52/0.75 (define @t209 () (tptp.product tptp.eh @t75)) % 0.52/0.75 (define @t210 () (= @t75 @t209)) % 0.52/0.75 (define @t211 () (or @t117 @t210)) % 0.52/0.75 (define @t212 () (tptp.f @t192)) % 0.52/0.75 (define @t213 () (= @t212 @t179)) % 0.52/0.75 (define @t214 () (tptp.product @t83 @t128)) % 0.52/0.75 (define @t215 () (and @t80 @t210 @t95 @t207 @t204 @t103 @t199 @t196 @t136 @t193 @t213 @t188 @t185 @t181)) % 0.52/0.75 (define @t216 () (not @t136)) % 0.52/0.75 (define @t217 () (not @t80)) % 0.52/0.75 (define @t218 () (tptp.h @t140)) % 0.52/0.75 (define @t219 () (tptp.sum @t114 @t57)) % 0.52/0.75 (define @t220 () (tptp.sum @t140 @t219)) % 0.52/0.75 (define @t221 () (tptp.sum @t141 @t57)) % 0.52/0.75 (define @t222 () (= @t221 @t220)) % 0.52/0.75 (define @t223 () (not @t218)) % 0.52/0.75 (define @t224 () (or @t223 @t137 @t70 @t222)) % 0.52/0.75 (define @t225 () (not @t222)) % 0.52/0.75 (define @t226 () (tptp.f @t152)) % 0.52/0.75 (define @t227 () (= @t226 (tptp.sum (tptp.f @t151) @t161))) % 0.52/0.75 (define @t228 () (not @t227)) % 0.52/0.75 (define @t229 () (tptp.product @t76 @t124)) % 0.52/0.75 (define @t230 () (tptp.f @t229)) % 0.52/0.75 (define @t231 () (= @t230 (tptp.sum @t114 (tptp.f @t124)))) % 0.52/0.75 (define @t232 () (not @t231)) % 0.52/0.75 (define @t233 () (not @t168)) % 0.52/0.75 (define @t234 () (= (tptp.f @t129) @t165)) % 0.52/0.75 (define @t235 () (not @t234)) % 0.52/0.75 (define @t236 () (not @t153)) % 0.52/0.75 (define @t237 () (not @t142)) % 0.52/0.75 (define @t238 () (not @t130)) % 0.52/0.75 (define @t239 () (not @t125)) % 0.52/0.75 (define @t240 () (not @t69)) % 0.52/0.75 (define @t241 () (= @t220 @t221)) % 0.52/0.75 (define @t242 () (and @t222 @t225)) % 0.52/0.75 (assume @p1 (forall @t6 (=> (and @t5 @t4) (tptp.g @t3)))) % 0.52/0.75 (assume @p2 @t10) % 0.52/0.75 (assume @p3 @t11) % 0.52/0.75 (assume @p4 @t17) % 0.52/0.75 (assume @p5 @t20) % 0.52/0.75 (assume @p6 @t23) % 0.52/0.75 (assume @p7 @t26) % 0.52/0.75 (assume @p8 @t29) % 0.52/0.75 (assume @p9 (forall @t6 (=> (and @t32 @t31) (tptp.h @t30)))) % 0.52/0.75 (assume @p10 @t34) % 0.52/0.75 (assume @p11 (tptp.h tptp.eg)) % 0.52/0.75 (assume @p12 @t38) % 0.52/0.75 (assume @p13 @t41) % 0.52/0.75 (assume @p14 @t44) % 0.52/0.75 (assume @p15 @t48) % 0.52/0.75 (assume @p16 @t51) % 0.52/0.75 (assume @p17 @t54) % 0.52/0.75 (assume @p18 (forall @t6 (= (tptp.f @t3) (tptp.sum @t52 (tptp.f @t1))))) % 0.52/0.75 (assume @p19 @t61) % 0.52/0.75 (assume @p20 true) % 0.52/0.75 (step @p21 :rule bool-impl-elim :args (@t32 @t62)) % 0.52/0.75 (step @p22 :rule cong :premises (@p21) :args ((forall @t9 (=> @t32 @t62)))) % 0.52/0.75 (step @p23 :rule eq-symm :args (@t39 @t2)) % 0.52/0.75 (step @p24 :rule refl :args (@t32)) % 0.52/0.75 (step @p25 :rule cong :premises (@p24 @p23) :args (@t40)) % 0.52/0.75 (step @p26 :rule cong :premises (@p25) :args (@t41)) % 0.52/0.75 (step @p27 :rule trans :premises (@p26 @p22)) % 0.52/0.75 (step @p28 :rule eq_resolve :premises (@p13 @p27)) % 0.52/0.75 (step @p29 :rule instantiate :premises (@p28) :args (@t63)) % 0.52/0.75 (step @p30 :rule bool-impl-elim :args (@t5 @t53)) % 0.52/0.75 (step @p31 :rule cong :premises (@p30) :args (@t54)) % 0.52/0.75 (step @p32 :rule eq_resolve :premises (@p17 @p31)) % 0.52/0.75 (step 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refl :args (@t239)) % 0.52/0.75 (step @p453 :rule refl :args (@t240)) % 0.52/0.75 (step @p454 :rule bool-double-not-elim :args (@t80)) % 0.52/0.75 (step @p455 :rule nary_cong :premises (@p454 @p453 @p452 @p451 @p450 @p449 @p448 @p447 @p446 @p445 @p444 @p443) :args ((or (not @t217) @t240 @t239 @t238 @t216 @t237 @t236 @t235 @t233 @t232 @t228 @t225))) % 0.52/0.75 (assume-push @p656 @t222) % 0.52/0.75 (assume-push @p657 @t225) % 0.52/0.75 (step @p458 :rule evaluate :args ((= false true))) % 0.52/0.75 (step @p459 :rule true_intro :premises (@p656)) % 0.52/0.75 (step @p460 :rule false_intro :premises (@p657)) % 0.52/0.75 (step @p461 :rule symm :premises (@p460)) % 0.52/0.75 (step @p462 :rule trans :premises (@p461 @p459)) % 0.52/0.75 (step @p463 false :rule eq_resolve :premises (@p462 @p458)) % 0.52/0.75 (step-pop @p658 :rule scope :premises (@p463)) % 0.52/0.75 (step-pop @p659 :rule scope :premises (@p658)) % 0.52/0.75 (step @p464 :rule process_scope :premises (@p659) :args (false)) % 0.52/0.75 (assume-push @p660 @t217) % 0.52/0.75 (assume-push @p661 @t69) % 0.52/0.75 (assume-push @p662 @t125) % 0.52/0.75 (assume-push @p663 @t130) % 0.52/0.75 (assume-push @p664 @t136) % 0.52/0.75 (assume-push @p665 @t142) % 0.52/0.75 (assume-push @p666 @t153) % 0.52/0.75 (assume-push @p667 @t234) % 0.52/0.75 (assume-push @p668 @t168) % 0.52/0.75 (assume-push @p669 @t231) % 0.52/0.75 (assume-push @p670 @t227) % 0.52/0.75 (assume-push @p671 @t222) % 0.52/0.75 (assume-push @p672 @t227) % 0.52/0.75 (assume-push @p673 @t231) % 0.52/0.75 (assume-push @p674 @t168) % 0.52/0.75 (assume-push @p675 @t234) % 0.52/0.75 (assume-push @p676 @t153) % 0.52/0.75 (assume-push @p677 @t142) % 0.52/0.75 (assume-push @p678 @t136) % 0.52/0.75 (assume-push @p679 @t130) % 0.52/0.75 (assume-push @p680 @t125) % 0.52/0.75 (assume-push @p681 @t69) % 0.52/0.75 (assume-push @p682 @t217) % 0.52/0.75 (step @p490 :rule bool-eq-false :args (@t222)) % 0.52/0.75 (step @p491 :rule symm :premises (@p490)) % 0.52/0.75 (step @p492 :rule eq-symm :args (@t220 @t221)) % 0.52/0.75 (step @p493 :rule cong :premises (@p492) :args ((not @t241))) % 0.52/0.75 (step @p494 :rule bool-eq-false :args (@t241)) % 0.52/0.75 (step @p495 :rule trans :premises (@p494 @p493)) % 0.52/0.75 (step @p496 :rule trans :premises (@p495 @p491)) % 0.52/0.75 (step @p497 :rule false_intro :premises (@p660)) % 0.52/0.75 (step @p498 :rule symm :premises (@p39)) % 0.52/0.75 (step @p140 :rule refl :args (@t57)) % 0.52/0.75 (step @p499 :rule symm :premises (@p665)) % 0.52/0.75 (step @p500 :rule cong :premises (@p499 @p140) :args (@t221)) % 0.52/0.75 (step @p501 :rule trans :premises (@p500 @p498)) % 0.52/0.75 (step @p502 :rule symm :premises (@p664)) % 0.52/0.75 (step @p503 :rule refl :args (@t140)) % 0.52/0.75 (step @p504 :rule cong :premises (@p503 @p502) :args ((tptp.sum @t140 @t135))) % 0.52/0.75 (step @p505 :rule symm :premises (@p662)) % 0.52/0.75 (step @p506 :rule symm :premises (@p663)) % 0.52/0.75 (step @p507 :rule refl :args (@t76)) % 0.52/0.75 (step @p508 :rule cong :premises (@p507 @p506) :args (@t150)) % 0.52/0.75 (step @p509 :rule trans :premises (@p666 @p508 @p505)) % 0.52/0.75 (step @p510 :rule cong :premises (@p509) :args (@t226)) % 0.52/0.75 (step @p511 :rule symm :premises (@p236)) % 0.52/0.75 (step @p512 :rule refl :args (@t161)) % 0.52/0.75 (step @p513 :rule cong :premises (@p507 @p505) :args (@t229)) % 0.52/0.75 (step @p514 :rule cong :premises (@p513) :args (@t230)) % 0.52/0.75 (step @p515 :rule symm :premises (@p235)) % 0.52/0.75 (step @p516 :rule cong :premises (@p662) :args (@t114)) % 0.52/0.75 (step @p517 :rule trans :premises (@p502 @p516)) % 0.52/0.75 (step @p376 :rule refl :args (@t114)) % 0.52/0.75 (step @p518 :rule cong :premises (@p376 @p517) :args ((tptp.sum @t114 @t135))) % 0.52/0.75 (step @p519 :rule cong :premises (@p376 @p664) :args (@t166)) % 0.52/0.75 (step @p520 :rule trans :premises (@p519 @p518 @p515 @p514)) % 0.52/0.75 (step @p521 :rule cong :premises (@p520 @p512) :args (@t167)) % 0.52/0.75 (step @p522 :rule symm :premises (@p668)) % 0.52/0.75 (step @p523 :rule cong :premises (@p663) :args (@t57)) % 0.52/0.75 (step @p524 :rule trans :premises (@p523 @p210)) % 0.52/0.75 (step @p525 :rule cong :premises (@p376 @p524) :args (@t219)) % 0.52/0.75 (step @p526 :rule trans :premises (@p525 @p522 @p521 @p511 @p510 @p664)) % 0.52/0.75 (step @p527 :rule cong :premises (@p503 @p526) :args (@t220)) % 0.52/0.75 (step @p528 :rule trans :premises (@p527 @p504 @p499)) % 0.52/0.75 (step @p529 :rule cong :premises (@p528 @p501) :args (@t241)) % 0.52/0.75 (step @p530 :rule trans :premises (@p529 @p497)) % 0.52/0.75 (step @p531 :rule eq_resolve :premises (@p530 @p496)) % 0.52/0.75 (step @p532 :rule false_elim :premises (@p531)) % 0.52/0.75 (step-pop @p683 :rule scope :premises (@p532)) % 0.52/0.75 (step-pop @p684 :rule scope :premises (@p683)) % 0.52/0.75 (step-pop @p685 :rule scope :premises (@p684)) % 0.52/0.75 (step-pop @p686 :rule scope :premises (@p685)) % 0.52/0.75 (step-pop @p687 :rule scope :premises (@p686)) % 0.52/0.75 (step-pop @p688 :rule scope :premises (@p687)) % 0.52/0.75 (step-pop @p689 :rule scope :premises (@p688)) % 0.52/0.75 (step-pop @p690 :rule scope :premises (@p689)) % 0.52/0.75 (step-pop @p691 :rule scope :premises (@p690)) % 0.52/0.75 (step-pop @p692 :rule scope :premises (@p691)) % 0.52/0.75 (step-pop @p693 :rule scope :premises (@p692)) % 0.52/0.75 (step @p533 :rule process_scope :premises (@p693) :args (@t225)) % 0.52/0.75 (step @p545 :rule and_intro :premises (@p236 @p235 @p668 @p210 @p666 @p665 @p664 @p663 @p662 @p39 @p660)) % 0.52/0.75 (step @p546 :rule modus_ponens :premises (@p545 @p533)) % 0.52/0.75 (step @p547 :rule and_intro :premises (@p671 @p546)) % 0.52/0.75 (step-pop @p694 :rule scope :premises (@p547)) % 0.52/0.75 (step-pop @p695 :rule scope :premises (@p694)) % 0.52/0.75 (step-pop @p696 :rule scope :premises (@p695)) % 0.52/0.75 (step-pop @p697 :rule scope :premises (@p696)) % 0.52/0.75 (step-pop @p698 :rule scope :premises (@p697)) % 0.52/0.75 (step-pop @p699 :rule scope :premises (@p698)) % 0.52/0.75 (step-pop @p700 :rule scope :premises (@p699)) % 0.52/0.75 (step-pop @p701 :rule scope :premises (@p700)) % 0.52/0.75 (step-pop @p702 :rule scope :premises (@p701)) % 0.52/0.75 (step-pop @p703 :rule scope :premises (@p702)) % 0.52/0.75 (step-pop @p704 :rule scope :premises (@p703)) % 0.52/0.75 (step-pop @p705 :rule scope :premises (@p704)) % 0.52/0.75 (step @p548 :rule process_scope :premises (@p705) :args (@t242)) % 0.52/0.75 (step @p561 :rule implies_elim :premises (@p548)) % 0.52/0.75 (step @p562 :rule resolution :premises (@p561 @p464) :args (true @t242)) % 0.52/0.75 (step @p563 :rule not_and :premises (@p562)) % 0.52/0.75 (step @p564 :rule eq_resolve :premises (@p563 @p455)) % 0.52/0.75 (step @p565 false :rule chain_m_resolution :premises (@p564 @p442 @p432 @p260 @p236 @p235 @p234 @p210 @p209 @p198 @p190 @p186 @p39) :args (false (@list false true false false false false false false false false false false) (@list @t222 @t80 @t168 @t227 @t231 @t153 @t234 @t142 @t136 @t130 @t125 @t69))) % 0.52/0.75 ) % 0.52/0.75 % SZS output end Proof % 0.52/0.75 % cvc5 exiting %------------------------------------------------------------------------------