%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV148^5 : 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 : n012.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 08:55:31 AM UTC 2026 % Result : Theorem 1.93s 2.15s % Output : Proof 1.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEV148^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 18:16:03 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.33 %----Proving TH0 % 1.93/2.15 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.93/2.15 % SZS status Theorem % 1.93/2.15 % SZS output start Proof % 1.93/2.15 ( % 1.93/2.15 (declare-sort tptp.a 0) % 1.93/2.15 (define @t1 () (@var "Xy" tptp.a)) % 1.93/2.15 (define @t2 () (@var "Xq" (-> tptp.a Bool))) % 1.93/2.15 (define @t3 () (_ @t2 @t1)) % 1.93/2.15 (define @t4 () (@var "Xv" tptp.a)) % 1.93/2.15 (define @t5 () (_ @t2 @t4)) % 1.93/2.15 (define @t6 () (@var "Xu" tptp.a)) % 1.93/2.15 (define @t7 () (@var "S" (-> tptp.a tptp.a Bool))) % 1.93/2.15 (define @t8 () (_ @t7 @t6)) % 1.93/2.15 (define @t9 () (_ @t8 @t4)) % 1.93/2.15 (define @t10 () (@var "R" (-> tptp.a tptp.a Bool))) % 1.93/2.15 (define @t11 () (_ @t10 @t6)) % 1.93/2.15 (define @t12 () (_ @t11 @t4)) % 1.93/2.15 (define @t13 () (or @t12 @t9)) % 1.93/2.15 (define @t14 () (_ @t2 @t6)) % 1.93/2.15 (define @t15 () (and @t14 @t13)) % 1.93/2.15 (define @t16 () (@list @t6 @t4)) % 1.93/2.15 (define @t17 () (forall @t16 (=> @t15 @t5))) % 1.93/2.15 (define @t18 () (@var "Xw" tptp.a)) % 1.93/2.15 (define @t19 () (_ @t2 @t18)) % 1.93/2.15 (define @t20 () (@var "Xx" tptp.a)) % 1.93/2.15 (define @t21 () (_ @t7 @t20)) % 1.93/2.15 (define @t22 () (_ @t21 @t18)) % 1.93/2.15 (define @t23 () (_ @t10 @t20)) % 1.93/2.15 (define @t24 () (_ @t23 @t18)) % 1.93/2.15 (define @t25 () (or @t24 @t22)) % 1.93/2.15 (define @t26 () (@list @t18)) % 1.93/2.15 (define @t27 () (forall @t26 (=> @t25 @t19))) % 1.93/2.15 (define @t28 () (and @t27 @t17)) % 1.93/2.15 (define @t29 () (=> @t28 @t3)) % 1.93/2.15 (define @t30 () (@list @t2)) % 1.93/2.15 (define @t31 () (forall @t30 @t29)) % 1.93/2.15 (define @t32 () (@var "Xq0" (-> tptp.a Bool))) % 1.93/2.15 (define @t33 () (_ @t32 @t4)) % 1.93/2.15 (define @t34 () (@var "Xv0" tptp.a)) % 1.93/2.15 (define @t35 () (_ @t32 @t34)) % 1.93/2.15 (define @t36 () (@var "Xu0" tptp.a)) % 1.93/2.15 (define @t37 () (_ (_ @t7 @t36) @t34)) % 1.93/2.15 (define @t38 () (_ @t32 @t36)) % 1.93/2.15 (define @t39 () (and @t38 @t37)) % 1.93/2.15 (define @t40 () (@list @t36 @t34)) % 1.93/2.15 (define @t41 () (forall @t40 (=> @t39 @t35))) % 1.93/2.15 (define @t42 () (_ @t32 @t18)) % 1.93/2.15 (define @t43 () (_ @t8 @t18)) % 1.93/2.15 (define @t44 () (forall @t26 (=> @t43 @t42))) % 1.93/2.15 (define @t45 () (and @t44 @t41)) % 1.93/2.15 (define @t46 () (=> @t45 @t33)) % 1.93/2.15 (define @t47 () (@list @t32)) % 1.93/2.15 (define @t48 () (forall @t47 @t46)) % 1.93/2.15 (define @t49 () (_ (_ @t10 @t36) @t34)) % 1.93/2.15 (define @t50 () (and @t38 @t49)) % 1.93/2.15 (define @t51 () (forall @t40 (=> @t50 @t35))) % 1.93/2.15 (define @t52 () (_ @t11 @t18)) % 1.93/2.15 (define @t53 () (forall @t26 (=> @t52 @t42))) % 1.93/2.15 (define @t54 () (and @t53 @t51)) % 1.93/2.15 (define @t55 () (=> @t54 @t33)) % 1.93/2.15 (define @t56 () (forall @t47 @t55)) % 1.93/2.15 (define @t57 () (or @t56 @t48)) % 1.93/2.15 (define @t58 () (and @t14 @t57)) % 1.93/2.15 (define @t59 () (=> @t58 @t5)) % 1.93/2.15 (define @t60 () (forall @t16 @t59)) % 1.93/2.15 (define @t61 () (_ @t32 @t6)) % 1.93/2.15 (define @t62 () (and @t61 @t9)) % 1.93/2.15 (define @t63 () (forall @t16 (=> @t62 @t33))) % 1.93/2.15 (define @t64 () (@var "Xw0" tptp.a)) % 1.93/2.15 (define @t65 () (_ @t32 @t64)) % 1.93/2.15 (define @t66 () (_ @t21 @t64)) % 1.93/2.15 (define @t67 () (@list @t64)) % 1.93/2.15 (define @t68 () (forall @t67 (=> @t66 @t65))) % 1.93/2.15 (define @t69 () (and @t68 @t63)) % 1.93/2.15 (define @t70 () (=> @t69 @t42)) % 1.93/2.15 (define @t71 () (forall @t47 @t70)) % 1.93/2.15 (define @t72 () (and @t61 @t12)) % 1.93/2.15 (define @t73 () (forall @t16 (=> @t72 @t33))) % 1.93/2.15 (define @t74 () (_ @t23 @t64)) % 1.93/2.15 (define @t75 () (forall @t67 (=> @t74 @t65))) % 1.93/2.15 (define @t76 () (and @t75 @t73)) % 1.93/2.15 (define @t77 () (=> @t76 @t42)) % 1.93/2.15 (define @t78 () (forall @t47 @t77)) % 1.93/2.15 (define @t79 () (or @t78 @t71)) % 1.93/2.15 (define @t80 () (=> @t79 @t19)) % 1.93/2.15 (define @t81 () (forall @t26 @t80)) % 1.93/2.15 (define @t82 () (and @t81 @t60)) % 1.93/2.15 (define @t83 () (=> @t82 @t3)) % 1.93/2.15 (define @t84 () (forall @t30 @t83)) % 1.93/2.15 (define @t85 () (=> @t84 @t31)) % 1.93/2.15 (define @t86 () (@list @t10 @t7 @t20 @t1)) % 1.93/2.15 (define @t87 () (forall @t86 @t85)) % 1.93/2.15 (define @t88 () (not @t87)) % 1.93/2.15 (define @t89 () (@var "BOUND_VARIABLE_7707" (-> tptp.a Bool))) % 1.93/2.15 (define @t90 () (_ @t89 @t1)) % 1.93/2.15 (define @t91 () (_ @t7 @t6 @t4)) % 1.93/2.15 (define @t92 () (not @t91)) % 1.93/2.15 (define @t93 () (_ @t10 @t6 @t4)) % 1.93/2.15 (define @t94 () (not @t93)) % 1.93/2.15 (define @t95 () (and @t94 @t92)) % 1.93/2.15 (define @t96 () (not (forall @t16 (or (not (_ @t89 @t6)) @t95 (_ @t89 @t4))))) % 1.93/2.15 (define @t97 () (_ @t7 @t20 @t18)) % 1.93/2.15 (define @t98 () (_ @t10 @t20 @t18)) % 1.93/2.15 (define @t99 () (and (not @t98) (not @t97))) % 1.93/2.15 (define @t100 () (not (forall @t26 (or @t99 (_ @t89 @t18))))) % 1.93/2.15 (define @t101 () (_ @t2 @t1)) % 1.93/2.15 (define @t102 () (_ @t2 @t4)) % 1.93/2.15 (define @t103 () (_ @t32 @t4)) % 1.93/2.15 (define @t104 () (_ @t32 @t34)) % 1.93/2.15 (define @t105 () (_ @t7 @t36 @t34)) % 1.93/2.15 (define @t106 () (_ @t32 @t36)) % 1.93/2.15 (define @t107 () (not @t106)) % 1.93/2.15 (define @t108 () (forall @t40 (or @t107 (not @t105) @t104))) % 1.93/2.15 (define @t109 () (not @t108)) % 1.93/2.15 (define @t110 () (_ @t32 @t18)) % 1.93/2.15 (define @t111 () (_ @t7 @t6 @t18)) % 1.93/2.15 (define @t112 () (forall @t26 (or (not @t111) @t110))) % 1.93/2.15 (define @t113 () (not @t112)) % 1.93/2.15 (define @t114 () (forall @t47 (or @t113 @t109 @t103))) % 1.93/2.15 (define @t115 () (_ @t10 @t36 @t34)) % 1.93/2.15 (define @t116 () (forall @t40 (or @t107 (not @t115) @t104))) % 1.93/2.15 (define @t117 () (not @t116)) % 1.93/2.15 (define @t118 () (_ @t10 @t6 @t18)) % 1.93/2.15 (define @t119 () (forall @t26 (or (not @t118) @t110))) % 1.93/2.15 (define @t120 () (not @t119)) % 1.93/2.15 (define @t121 () (forall @t47 (or @t120 @t117 @t103))) % 1.93/2.15 (define @t122 () (and (not @t121) (not @t114))) % 1.93/2.15 (define @t123 () (_ @t2 @t6)) % 1.93/2.15 (define @t124 () (not @t123)) % 1.93/2.15 (define @t125 () (forall @t16 (or @t124 @t122 @t102))) % 1.93/2.15 (define @t126 () (not @t125)) % 1.93/2.15 (define @t127 () (_ @t2 @t18)) % 1.93/2.15 (define @t128 () (_ @t32 @t6)) % 1.93/2.15 (define @t129 () (not @t128)) % 1.93/2.15 (define @t130 () (forall @t16 (or @t129 @t92 @t103))) % 1.93/2.15 (define @t131 () (not @t130)) % 1.93/2.15 (define @t132 () (_ @t32 @t64)) % 1.93/2.15 (define @t133 () (_ @t7 @t20 @t64)) % 1.93/2.15 (define @t134 () (forall @t67 (or (not @t133) @t132))) % 1.93/2.15 (define @t135 () (not @t134)) % 1.93/2.15 (define @t136 () (forall @t47 (or @t135 @t131 @t110))) % 1.93/2.15 (define @t137 () (forall @t16 (or @t129 @t94 @t103))) % 1.93/2.15 (define @t138 () (not @t137)) % 1.93/2.15 (define @t139 () (_ @t10 @t20 @t64)) % 1.93/2.15 (define @t140 () (forall @t67 (or (not @t139) @t132))) % 1.93/2.15 (define @t141 () (not @t140)) % 1.93/2.15 (define @t142 () (forall @t47 (or @t141 @t138 @t110))) % 1.93/2.15 (define @t143 () (and (not @t142) (not @t136))) % 1.93/2.15 (define @t144 () (forall @t26 (or @t143 @t127))) % 1.93/2.15 (define @t145 () (not @t144)) % 1.93/2.15 (define @t146 () (forall @t30 (or @t145 @t126 @t101))) % 1.93/2.15 (define @t147 () (not @t146)) % 1.93/2.15 (define @t148 () (or @t147 @t100 @t96 @t90)) % 1.93/2.15 (define @t149 () (or @t100 @t96 @t90)) % 1.93/2.15 (define @t150 () (or @t147 @t149)) % 1.93/2.15 (define @t151 () (@list @t10 @t7 @t20 @t1 @t89)) % 1.93/2.15 (define @t152 () (forall @t151 @t150)) % 1.93/2.15 (define @t153 () (@list @t89)) % 1.93/2.15 (define @t154 () (forall @t153 @t150)) % 1.93/2.15 (define @t155 () (forall @t153 @t149)) % 1.93/2.15 (define @t156 () (or @t147 @t155)) % 1.93/2.15 (define @t157 () (forall @t16 (or @t124 @t95 @t102))) % 1.93/2.15 (define @t158 () (not @t157)) % 1.93/2.15 (define @t159 () (forall @t26 (or @t99 @t127))) % 1.93/2.15 (define @t160 () (not @t159)) % 1.93/2.15 (define @t161 () (forall @t30 (or @t160 @t158 @t101))) % 1.93/2.15 (define @t162 () (or @t160 @t158 @t3)) % 1.93/2.15 (define @t163 () (and @t159 @t157)) % 1.93/2.15 (define @t164 () (not @t9)) % 1.93/2.15 (define @t165 () (not @t12)) % 1.93/2.15 (define @t166 () (and @t165 @t164)) % 1.93/2.15 (define @t167 () (not @t14)) % 1.93/2.15 (define @t168 () (or @t167 @t166 @t5)) % 1.93/2.15 (define @t169 () (not @t22)) % 1.93/2.15 (define @t170 () (not @t24)) % 1.93/2.15 (define @t171 () (and @t170 @t169)) % 1.93/2.15 (define @t172 () (or @t171 @t19)) % 1.93/2.15 (define @t173 () (or @t145 @t126 @t3)) % 1.93/2.15 (define @t174 () (and @t144 @t125)) % 1.93/2.15 (define @t175 () (or @t167 @t122 @t5)) % 1.93/2.15 (define @t176 () (or @t121 @t114)) % 1.93/2.15 (define @t177 () (and @t14 @t176)) % 1.93/2.15 (define @t178 () (or @t113 @t109 @t33)) % 1.93/2.15 (define @t179 () (and @t112 @t108)) % 1.93/2.15 (define @t180 () (not @t37)) % 1.93/2.15 (define @t181 () (not @t38)) % 1.93/2.15 (define @t182 () (or @t181 @t180 @t35)) % 1.93/2.15 (define @t183 () (not @t43)) % 1.93/2.15 (define @t184 () (or @t183 @t42)) % 1.93/2.15 (define @t185 () (or @t120 @t117 @t33)) % 1.93/2.15 (define @t186 () (and @t119 @t116)) % 1.93/2.15 (define @t187 () (not @t49)) % 1.93/2.15 (define @t188 () (or @t181 @t187 @t35)) % 1.93/2.15 (define @t189 () (not @t52)) % 1.93/2.15 (define @t190 () (or @t189 @t42)) % 1.93/2.15 (define @t191 () (or @t143 @t19)) % 1.93/2.15 (define @t192 () (or @t142 @t136)) % 1.93/2.15 (define @t193 () (or @t135 @t131 @t42)) % 1.93/2.15 (define @t194 () (and @t134 @t130)) % 1.93/2.15 (define @t195 () (not @t61)) % 1.93/2.15 (define @t196 () (or @t195 @t164 @t33)) % 1.93/2.15 (define @t197 () (not @t66)) % 1.93/2.15 (define @t198 () (or @t197 @t65)) % 1.93/2.15 (define @t199 () (or @t141 @t138 @t42)) % 1.93/2.15 (define @t200 () (and @t140 @t137)) % 1.93/2.15 (define @t201 () (or @t195 @t165 @t33)) % 1.93/2.15 (define @t202 () (not @t74)) % 1.93/2.15 (define @t203 () (or @t202 @t65)) % 1.93/2.15 (define @t204 () (forall @t151 @t148)) % 1.93/2.15 (define @t205 () (@quantifiers_skolemize @t204 3)) % 1.93/2.15 (define @t206 () (@quantifiers_skolemize @t204 1)) % 1.93/2.15 (define @t207 () (not (_ @t206 @t36 @t34))) % 1.93/2.15 (define @t208 () (not (forall @t40 (or @t107 @t207 @t104)))) % 1.93/2.15 (define @t209 () (@quantifiers_skolemize @t204 0)) % 1.93/2.15 (define @t210 () (not (_ @t209 @t36 @t34))) % 1.93/2.15 (define @t211 () (not (forall @t40 (or @t107 @t210 @t104)))) % 1.93/2.15 (define @t212 () (and (not (forall @t47 (or (not (forall @t26 (or (not (_ @t209 @t6 @t18)) @t110))) @t211 @t103))) (not (forall @t47 (or (not (forall @t26 (or (not (_ @t206 @t6 @t18)) @t110))) @t208 @t103))))) % 1.93/2.15 (define @t213 () (not (_ @t206 @t6 @t4))) % 1.93/2.15 (define @t214 () (not (forall @t16 (or @t129 @t213 @t103)))) % 1.93/2.15 (define @t215 () (@quantifiers_skolemize @t204 2)) % 1.93/2.15 (define @t216 () (not (_ @t206 @t215 @t64))) % 1.93/2.15 (define @t217 () (not (forall @t67 (or @t216 @t132)))) % 1.93/2.15 (define @t218 () (not (_ @t209 @t6 @t4))) % 1.93/2.15 (define @t219 () (not (forall @t16 (or @t129 @t218 @t103)))) % 1.93/2.15 (define @t220 () (not (_ @t209 @t215 @t64))) % 1.93/2.15 (define @t221 () (not (forall @t67 (or @t220 @t132)))) % 1.93/2.15 (define @t222 () (and (not (forall @t47 (or @t221 @t219 @t110))) (not (forall @t47 (or @t217 @t214 @t110))))) % 1.93/2.15 (define @t223 () (forall @t30 (or (not (forall @t26 (or @t222 @t127))) (not (forall @t16 (or @t124 @t212 @t102))) (_ @t2 @t205)))) % 1.93/2.15 (define @t224 () (@quantifiers_skolemize @t204 4)) % 1.93/2.15 (define @t225 () (_ @t224 @t205)) % 1.93/2.15 (define @t226 () (_ @t224 @t4)) % 1.93/2.15 (define @t227 () (not (_ @t224 @t6))) % 1.93/2.15 (define @t228 () (forall @t16 (or @t227 (and @t218 @t213) @t226))) % 1.93/2.15 (define @t229 () (not @t228)) % 1.93/2.15 (define @t230 () (_ @t224 @t18)) % 1.93/2.15 (define @t231 () (forall @t26 (or (and (not (_ @t209 @t215 @t18)) (not (_ @t206 @t215 @t18))) @t230))) % 1.93/2.15 (define @t232 () (not @t231)) % 1.93/2.15 (define @t233 () (not @t223)) % 1.93/2.15 (define @t234 () (or @t233 @t232 @t229 @t225)) % 1.93/2.15 (define @t235 () (@list true)) % 1.93/2.15 (define @t236 () (@list @t234)) % 1.93/2.15 (define @t237 () (@list @t224)) % 1.93/2.15 (define @t238 () (forall @t26 (or @t222 @t230))) % 1.93/2.15 (define @t239 () (@quantifiers_skolemize @t238 0)) % 1.93/2.15 (define @t240 () (_ @t224 @t239)) % 1.93/2.15 (define @t241 () (_ @t32 @t239)) % 1.93/2.15 (define @t242 () (forall @t47 (or @t217 @t214 @t241))) % 1.93/2.15 (define @t243 () (not @t242)) % 1.93/2.15 (define @t244 () (forall @t47 (or @t221 @t219 @t241))) % 1.93/2.15 (define @t245 () (not @t244)) % 1.93/2.15 (define @t246 () (and @t245 @t243)) % 1.93/2.15 (define @t247 () (or @t246 @t240)) % 1.93/2.15 (define @t248 () (forall @t16 (or @t227 @t218 @t226))) % 1.93/2.15 (define @t249 () (@quantifiers_skolemize @t248 0)) % 1.93/2.15 (define @t250 () (_ @t224 @t249)) % 1.93/2.15 (define @t251 () (@quantifiers_skolemize @t248 1)) % 1.93/2.15 (define @t252 () (_ @t224 @t251)) % 1.93/2.15 (define @t253 () (_ @t209 @t249 @t251)) % 1.93/2.15 (define @t254 () (not @t253)) % 1.93/2.15 (define @t255 () (not @t250)) % 1.93/2.15 (define @t256 () (or @t255 @t254 @t252)) % 1.93/2.15 (define @t257 () (and @t254 (not (_ @t206 @t249 @t251)))) % 1.93/2.15 (define @t258 () (or @t255 @t257 @t252)) % 1.93/2.15 (define @t259 () (@list false true true false false)) % 1.93/2.15 (define @t260 () (not @t256)) % 1.93/2.15 (define @t261 () (not @t248)) % 1.93/2.15 (define @t262 () (@list false)) % 1.93/2.15 (define @t263 () (_ @t224 @t64)) % 1.93/2.15 (define @t264 () (forall @t67 (or @t220 @t263))) % 1.93/2.15 (define @t265 () (@quantifiers_skolemize @t264 0)) % 1.93/2.15 (define @t266 () (_ @t209 @t215 @t265)) % 1.93/2.15 (define @t267 () (_ @t224 @t265)) % 1.93/2.15 (define @t268 () (not @t266)) % 1.93/2.15 (define @t269 () (or @t268 @t267)) % 1.93/2.15 (define @t270 () (and @t268 (not (_ @t206 @t215 @t265)))) % 1.93/2.15 (define @t271 () (or @t270 @t267)) % 1.93/2.15 (define @t272 () (@list false true true false)) % 1.93/2.15 (define @t273 () (not @t269)) % 1.93/2.15 (define @t274 () (not @t264)) % 1.93/2.15 (define @t275 () (or @t274 @t261 @t240)) % 1.93/2.15 (define @t276 () (forall @t16 (or @t227 @t213 @t226))) % 1.93/2.15 (define @t277 () (@quantifiers_skolemize @t276 0)) % 1.93/2.15 (define @t278 () (_ @t224 @t277)) % 1.93/2.15 (define @t279 () (@quantifiers_skolemize @t276 1)) % 1.93/2.15 (define @t280 () (_ @t224 @t279)) % 1.93/2.15 (define @t281 () (_ @t206 @t277 @t279)) % 1.93/2.15 (define @t282 () (not @t281)) % 1.93/2.15 (define @t283 () (not @t278)) % 1.93/2.15 (define @t284 () (or @t283 @t282 @t280)) % 1.93/2.15 (define @t285 () (and (not (_ @t209 @t277 @t279)) @t282)) % 1.93/2.15 (define @t286 () (or @t283 @t285 @t280)) % 1.93/2.15 (define @t287 () (not @t284)) % 1.93/2.15 (define @t288 () (not @t276)) % 1.93/2.15 (define @t289 () (forall @t67 (or @t216 @t263))) % 1.93/2.15 (define @t290 () (@quantifiers_skolemize @t289 0)) % 1.93/2.15 (define @t291 () (_ @t206 @t215 @t290)) % 1.93/2.15 (define @t292 () (_ @t224 @t290)) % 1.93/2.15 (define @t293 () (not @t291)) % 1.93/2.15 (define @t294 () (or 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(step @p108 :rule aci_norm :args ((= (or (or @t145 @t126) @t3) @t173))) % 1.93/2.15 (step @p109 :rule bool-and-de-morgan :args (@t144 @t125 true)) % 1.93/2.15 (step @p110 :rule nary_cong :premises (@p109 @p19) :args ((or (not @t174) @t3))) % 1.93/2.15 (step @p111 :rule trans :premises (@p110 @p108)) % 1.93/2.15 (step @p112 :rule bool-impl-elim :args (@t174 @t3)) % 1.93/2.15 (step @p113 :rule trans :premises (@p112 @p111)) % 1.93/2.15 (step @p114 :rule cong :premises (@p113) :args ((forall @t30 (=> @t174 @t3)))) % 1.93/2.15 (step @p115 :rule trans :premises (@p114 @p107)) % 1.93/2.15 (step @p116 :rule refl :args (@t122)) % 1.93/2.15 (step @p117 :rule nary_cong :premises (@p59 @p116 @p40) :args (@t175)) % 1.93/2.15 (step @p118 :rule cong :premises (@p117) :args ((forall @t16 @t175))) % 1.93/2.15 (step @p119 :rule aci_norm :args ((= (or (or @t167 @t122) @t5) @t175))) % 1.93/2.15 (step @p120 :rule bool-or-de-morgan :args (@t121 @t114 false)) % 1.93/2.15 (step @p121 :rule nary_cong 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(not @t343) @t350))) % 1.93/2.15 (assume-push @p640 @t343) % 1.93/2.15 (step @p596 :rule skolemize :premises (@p640)) % 1.93/2.15 (step-pop @p641 :rule scope :premises (@p596)) % 1.93/2.15 (step @p597 :rule process_scope :premises (@p641) :args (@t350)) % 1.93/2.15 (step @p599 :rule implies_elim :premises (@p597)) % 1.93/2.15 (step @p600 :rule eq_resolve :premises (@p599 @p594)) % 1.93/2.15 (step @p601 :rule chain_m_resolution :premises (@p600 @p591) :args (@t350 @t235 (@list @t342))) % 1.93/2.15 (step @p602 :rule cnf_or_neg :args (@t349 1)) % 1.93/2.15 (step @p603 :rule chain_m_resolution :premises (@p602 @p601) :args ((not @t346) @t235 @t351)) % 1.93/2.15 (step @p604 :rule bool-double-not-elim :args (@t347)) % 1.93/2.15 (step @p605 :rule refl :args (@t349)) % 1.93/2.15 (step @p606 :rule nary_cong :premises (@p605 @p604) :args ((or @t349 (not @t348)))) % 1.93/2.15 (step @p607 :rule cnf_or_neg :args (@t349 0)) % 1.93/2.15 (step @p608 :rule eq_resolve :premises (@p607 @p606)) % 1.93/2.15 (step @p609 :rule reordering :premises (@p608) :args ((or @t347 @t349))) % 1.93/2.15 (step @p610 :rule chain_m_resolution :premises (@p609 @p601) :args (@t347 @t235 @t351)) % 1.93/2.15 (step @p611 :rule cnf_and_pos :args (@t352 1)) % 1.93/2.15 (step @p612 :rule reordering :premises (@p611) :args ((or @t348 @t353))) % 1.93/2.15 (step @p613 :rule chain_m_resolution :premises (@p612 @p610) :args (@t353 @t262 (@list @t347))) % 1.93/2.15 (step @p614 :rule instantiate :premises (@p384) :args ((@list @t309 @t345))) % 1.93/2.15 (step @p615 :rule cnf_or_pos :args (@t354)) % 1.93/2.15 (step @p616 :rule reordering :premises (@p615) :args ((or @t318 @t346 @t352 (not @t354)))) % 1.93/2.15 (step @p617 false :rule chain_m_resolution :premises (@p616 @p614 @p613 @p603 @p532) :args (false @t272 (@list @t354 @t352 @t346 @t317))) % 1.93/2.15 ) % 1.93/2.15 % SZS output end Proof % 1.93/2.15 % cvc5 exiting %------------------------------------------------------------------------------