%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU048+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:50:30 AM UTC 2026 % Result : Theorem 19.22s 19.45s % Output : Proof 19.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU048+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n018.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 16:24:50 EDT 2026 % 0.17/0.36 % CPUTime : % 0.32/0.52 %----Proving TF0_NAR, FOF, or CNF % 19.22/19.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 19.22/19.45 --- Run --no-e-matching --full-saturate-quant at 6... % 19.22/19.45 % SZS status Theorem % 19.22/19.45 % SZS output start Proof % 19.22/19.45 ( % 19.22/19.45 (declare-sort $$unsorted 0) % 19.22/19.45 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 19.22/19.45 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 19.22/19.45 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 19.22/19.45 (declare-const tptp.empty_set $$unsorted) % 19.22/19.45 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 19.22/19.45 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 19.22/19.45 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 19.22/19.45 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 19.22/19.45 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 19.22/19.45 (declare-const tptp.relation (-> $$unsorted Bool)) % 19.22/19.45 (declare-const tptp.empty (-> $$unsorted Bool)) % 19.22/19.45 (declare-const tptp.function (-> $$unsorted Bool)) % 19.22/19.45 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 19.22/19.45 (define @t1 () (@var "A" $$unsorted)) % 19.22/19.45 (define @t2 () (@var "B" $$unsorted)) % 19.22/19.45 (define @t3 () (tptp.in @t1 @t2)) % 19.22/19.45 (define @t4 () (@list @t1 @t2)) % 19.22/19.45 (define @t5 () (tptp.function @t1)) % 19.22/19.45 (define @t6 () (tptp.empty @t1)) % 19.22/19.45 (define @t7 () (@list @t1)) % 19.22/19.45 (define @t8 () (tptp.relation @t1)) % 19.22/19.45 (define @t9 () (tptp.one_to_one @t1)) % 19.22/19.45 (define @t10 () (and @t8 @t5 @t9)) % 19.22/19.45 (define @t11 () (and @t8 @t6 @t5)) % 19.22/19.45 (define @t12 () (@var "C" $$unsorted)) % 19.22/19.45 (define @t13 () (= @t2 @t12)) % 19.22/19.45 (define @t14 () (= (tptp.apply @t1 @t2) (tptp.apply @t1 @t12))) % 19.22/19.45 (define @t15 () (tptp.relation_dom @t1)) % 19.22/19.45 (define @t16 () (tptp.in @t12 @t15)) % 19.22/19.45 (define @t17 () (tptp.in @t2 @t15)) % 19.22/19.45 (define @t18 () (and @t17 @t16 @t14)) % 19.22/19.45 (define @t19 () (@list @t2 @t12)) % 19.22/19.45 (define @t20 () (forall @t19 (=> @t18 @t13))) % 19.22/19.45 (define @t21 () (= @t9 @t20)) % 19.22/19.45 (define @t22 () (and @t8 @t5)) % 19.22/19.45 (define @t23 () (=> @t22 @t21)) % 19.22/19.45 (define @t24 () (forall @t7 @t23)) % 19.22/19.45 (define @t25 () (tptp.relation_rng_restriction @t1 @t2)) % 19.22/19.45 (define @t26 () (tptp.relation @t25)) % 19.22/19.45 (define @t27 () (tptp.relation @t2)) % 19.22/19.45 (define @t28 () (forall @t4 (=> @t27 @t26))) % 19.22/19.45 (define @t29 () (@list @t2)) % 19.22/19.45 (define @t30 () (tptp.relation tptp.empty_set)) % 19.22/19.45 (define @t31 () (tptp.empty tptp.empty_set)) % 19.22/19.45 (define @t32 () (tptp.powerset @t1)) % 19.22/19.45 (define @t33 () (and @t26 (tptp.function @t25))) % 19.22/19.45 (define @t34 () (tptp.function @t2)) % 19.22/19.45 (define @t35 () (and @t27 @t34)) % 19.22/19.45 (define @t36 () (forall @t4 (=> @t35 @t33))) % 19.22/19.45 (define @t37 () (tptp.empty @t15)) % 19.22/19.45 (define @t38 () (not @t6)) % 19.22/19.45 (define @t39 () (and @t38 @t8)) % 19.22/19.45 (define @t40 () (tptp.empty @t2)) % 19.22/19.45 (define @t41 () (tptp.element @t2 @t32)) % 19.22/19.45 (define @t42 () (tptp.element @t1 @t2)) % 19.22/19.45 (define @t43 () (tptp.element @t2 (tptp.powerset @t12))) % 19.22/19.45 (define @t44 () (@list @t1 @t2 @t12)) % 19.22/19.45 (define @t45 () (@var "D" $$unsorted)) % 19.22/19.45 (define @t46 () (tptp.apply @t12 @t45)) % 19.22/19.45 (define @t47 () (tptp.apply @t2 @t45)) % 19.22/19.45 (define @t48 () (tptp.in @t45 (tptp.relation_dom @t2))) % 19.22/19.45 (define @t49 () (=> @t48 (= @t47 @t46))) % 19.22/19.45 (define @t50 () (@list @t45)) % 19.22/19.45 (define @t51 () (forall @t50 @t49)) % 19.22/19.45 (define @t52 () (forall @t50 (= @t48 (and (tptp.in @t45 (tptp.relation_dom @t12)) (tptp.in @t46 @t1))))) % 19.22/19.45 (define @t53 () (and @t52 @t51)) % 19.22/19.45 (define @t54 () (= @t2 (tptp.relation_rng_restriction @t1 @t12))) % 19.22/19.45 (define @t55 () (= @t54 @t53)) % 19.22/19.45 (define @t56 () (tptp.function @t12)) % 19.22/19.45 (define @t57 () (tptp.relation @t12)) % 19.22/19.45 (define @t58 () (and @t57 @t56)) % 19.22/19.45 (define @t59 () (=> @t58 @t55)) % 19.22/19.45 (define @t60 () (@list @t12)) % 19.22/19.45 (define @t61 () (forall @t60 @t59)) % 19.22/19.45 (define @t62 () (=> @t35 @t61)) % 19.22/19.45 (define @t63 () (forall @t4 @t62)) % 19.22/19.45 (define @t64 () (tptp.one_to_one @t25)) % 19.22/19.45 (define @t65 () (tptp.one_to_one @t2)) % 19.22/19.45 (define @t66 () (=> @t65 @t64)) % 19.22/19.45 (define @t67 () (forall @t4 (=> @t35 @t66))) % 19.22/19.45 (define @t68 () (not @t67)) % 19.22/19.45 (define @t69 () (@var "BOUND_VARIABLE_7751" $$unsorted)) % 19.22/19.45 (define @t70 () (tptp.apply @t69 @t45)) % 19.22/19.45 (define @t71 () (not @t48)) % 19.22/19.45 (define @t72 () (or @t71 (= @t70 @t47))) % 19.22/19.45 (define @t73 () (forall @t50 @t72)) % 19.22/19.45 (define @t74 () (forall @t50 (= @t48 (and (tptp.in @t45 (tptp.relation_dom @t69)) (tptp.in @t70 @t1))))) % 19.22/19.45 (define @t75 () (and @t74 @t73)) % 19.22/19.45 (define @t76 () (= @t2 (tptp.relation_rng_restriction @t1 @t69))) % 19.22/19.45 (define @t77 () (= @t76 @t75)) % 19.22/19.45 (define @t78 () (not (tptp.function @t69))) % 19.22/19.45 (define @t79 () (not (tptp.relation @t69))) % 19.22/19.45 (define @t80 () (not @t34)) % 19.22/19.45 (define @t81 () (not @t27)) % 19.22/19.45 (define @t82 () (or @t81 @t80 @t79 @t78 @t77)) % 19.22/19.45 (define @t83 () (or @t79 @t78 @t77)) % 19.22/19.45 (define @t84 () (or @t81 @t80 @t83)) % 19.22/19.45 (define @t85 () (@list @t1 @t2 @t69)) % 19.22/19.45 (define @t86 () (forall @t85 @t84)) % 19.22/19.45 (define @t87 () (@list @t69)) % 19.22/19.45 (define @t88 () (forall @t87 @t84)) % 19.22/19.45 (define @t89 () (forall @t87 @t83)) % 19.22/19.45 (define @t90 () (or @t81 @t80 @t89)) % 19.22/19.45 (define @t91 () (= @t46 @t47)) % 19.22/19.45 (define @t92 () (= @t54 (and @t52 (forall @t50 (or @t71 @t91))))) % 19.22/19.45 (define @t93 () (not @t56)) % 19.22/19.45 (define @t94 () (not @t57)) % 19.22/19.45 (define @t95 () (or @t94 @t93 @t92)) % 19.22/19.45 (define @t96 () (forall @t60 @t95)) % 19.22/19.45 (define @t97 () (or @t81 @t80 @t96)) % 19.22/19.45 (define @t98 () (or @t81 @t80)) % 19.22/19.45 (define @t99 () (not @t35)) % 19.22/19.45 (define @t100 () (not @t65)) % 19.22/19.45 (define @t101 () (or @t81 @t80 @t100 @t64)) % 19.22/19.45 (define @t102 () (forall @t4 @t101)) % 19.22/19.45 (define @t103 () (@quantifiers_skolemize @t102 1)) % 19.22/19.45 (define @t104 () (@quantifiers_skolemize @t102 0)) % 19.22/19.45 (define @t105 () (tptp.relation_rng_restriction @t104 @t103)) % 19.22/19.45 (define @t106 () (tptp.apply @t105 @t45)) % 19.22/19.45 (define @t107 () (tptp.apply @t103 @t45)) % 19.22/19.45 (define @t108 () (tptp.relation_dom @t105)) % 19.22/19.45 (define @t109 () (tptp.in @t45 @t108)) % 19.22/19.45 (define @t110 () (not @t109)) % 19.22/19.45 (define @t111 () (forall @t50 (or @t110 (= @t107 @t106)))) % 19.22/19.45 (define @t112 () (tptp.relation_dom @t103)) % 19.22/19.45 (define @t113 () (and (tptp.in @t45 @t112) (tptp.in @t107 @t104))) % 19.22/19.45 (define @t114 () (forall @t50 (= @t113 @t109))) % 19.22/19.45 (define @t115 () (and @t114 @t111)) % 19.22/19.45 (define @t116 () (or @t110 (= @t106 @t107))) % 19.22/19.45 (define @t117 () (forall @t50 @t116)) % 19.22/19.45 (define @t118 () (forall @t50 (= @t109 @t113))) % 19.22/19.45 (define @t119 () (and @t118 @t117)) % 19.22/19.45 (define @t120 () (= (= @t105 @t105) @t119)) % 19.22/19.45 (define @t121 () (tptp.function @t103)) % 19.22/19.45 (define @t122 () (not @t121)) % 19.22/19.45 (define @t123 () (tptp.relation @t103)) % 19.22/19.45 (define @t124 () (not @t123)) % 19.22/19.45 (define @t125 () (tptp.function @t105)) % 19.22/19.45 (define @t126 () (not @t125)) % 19.22/19.45 (define @t127 () (tptp.relation @t105)) % 19.22/19.45 (define @t128 () (not @t127)) % 19.22/19.45 (define @t129 () (or @t128 @t126 @t124 @t122 @t120)) % 19.22/19.45 (define @t130 () (forall @t85 (or @t81 @t80 @t79 @t78 (= @t76 (and @t74 (forall @t50 (or @t71 (= @t47 @t70)))))))) % 19.22/19.45 (define @t131 () (or @t128 @t126 @t124 @t122 @t115)) % 19.22/19.45 (define @t132 () (@list false)) % 19.22/19.45 (define @t133 () (@list @t104 @t103)) % 19.22/19.45 (define @t134 () (tptp.one_to_one @t105)) % 19.22/19.45 (define @t135 () (tptp.one_to_one @t103)) % 19.22/19.45 (define @t136 () (not @t135)) % 19.22/19.45 (define @t137 () (or @t124 @t122 @t136 @t134)) % 19.22/19.45 (define @t138 () (@list true)) % 19.22/19.45 (define @t139 () (@list @t137)) % 19.22/19.45 (define @t140 () (and @t127 @t125)) % 19.22/19.45 (define @t141 () (or @t124 @t122 @t140)) % 19.22/19.45 (define @t142 () (@list false false false)) % 19.22/19.45 (define @t143 () (or @t124 @t127)) % 19.22/19.45 (define @t144 () (@list false false)) % 19.22/19.45 (define @t145 () (not @t115)) % 19.22/19.45 (define @t146 () (@list @t115)) % 19.22/19.45 (define @t147 () (not @t14)) % 19.22/19.45 (define @t148 () (not @t16)) % 19.22/19.45 (define @t149 () (not @t17)) % 19.22/19.45 (define @t150 () (or @t149 @t148 @t147 @t13)) % 19.22/19.45 (define @t151 () (= @t9 (forall @t19 @t150))) % 19.22/19.45 (define @t152 () (not @t5)) % 19.22/19.45 (define @t153 () (not @t8)) % 19.22/19.45 (define @t154 () (or @t149 @t148 @t147)) % 19.22/19.45 (define @t155 () (forall @t19 (or (not (tptp.in @t2 @t112)) (not (tptp.in @t12 @t112)) (not (= (tptp.apply @t103 @t2) (tptp.apply @t103 @t12))) @t13))) % 19.22/19.45 (define @t156 () (= @t135 @t155)) % 19.22/19.45 (define @t157 () (or @t124 @t122 @t156)) % 19.22/19.45 (define @t158 () (forall @t19 (or (not (tptp.in @t2 @t108)) (not (tptp.in @t12 @t108)) (not (= (tptp.apply @t105 @t2) (tptp.apply @t105 @t12))) @t13))) % 19.22/19.45 (define @t159 () (@quantifiers_skolemize @t158 1)) % 19.22/19.45 (define @t160 () (@quantifiers_skolemize @t158 0)) % 19.22/19.45 (define @t161 () (= @t160 @t159)) % 19.22/19.45 (define @t162 () (tptp.apply @t103 @t160)) % 19.22/19.45 (define @t163 () (tptp.apply @t103 @t159)) % 19.22/19.45 (define @t164 () (not (= @t162 @t163))) % 19.22/19.45 (define @t165 () (tptp.in @t159 @t112)) % 19.22/19.45 (define @t166 () (not @t165)) % 19.22/19.45 (define @t167 () (tptp.in @t160 @t112)) % 19.22/19.45 (define @t168 () (not @t167)) % 19.22/19.45 (define @t169 () (or @t168 @t166 @t164 @t161)) % 19.22/19.45 (define @t170 () (not (= @t163 @t162))) % 19.22/19.45 (define @t171 () (or @t168 @t166 @t170 @t161)) % 19.22/19.45 (define @t172 () (and @t167 (tptp.in @t162 @t104))) % 19.22/19.45 (define @t173 () (tptp.in @t160 @t108)) % 19.22/19.45 (define @t174 () (= @t172 @t173)) % 19.22/19.45 (define @t175 () (@list @t160)) % 19.22/19.45 (define @t176 () (= @t173 @t172)) % 19.22/19.45 (define @t177 () (@list @t114)) % 19.22/19.45 (define @t178 () (= @t134 @t158)) % 19.22/19.45 (define @t179 () (or @t128 @t126 @t178)) % 19.22/19.45 (define @t180 () (not @t158)) % 19.22/19.45 (define @t181 () (@list true false)) % 19.22/19.45 (define @t182 () (tptp.apply @t105 @t159)) % 19.22/19.45 (define @t183 () (tptp.apply @t105 @t160)) % 19.22/19.45 (define @t184 () (= @t183 @t182)) % 19.22/19.45 (define @t185 () (not @t184)) % 19.22/19.45 (define @t186 () (tptp.in @t159 @t108)) % 19.22/19.45 (define @t187 () (not @t186)) % 19.22/19.45 (define @t188 () (not @t173)) % 19.22/19.45 (define @t189 () (or @t188 @t187 @t185 @t161)) % 19.22/19.45 (define @t190 () (@list @t189)) % 19.22/19.45 (define @t191 () (and @t165 (tptp.in @t163 @t104))) % 19.22/19.45 (define @t192 () (= @t191 @t186)) % 19.22/19.45 (define @t193 () (@list @t159)) % 19.22/19.45 (define @t194 () (= @t186 @t191)) % 19.22/19.45 (define @t195 () (or @t187 (= @t163 @t182))) % 19.22/19.45 (define @t196 () (= @t182 @t163)) % 19.22/19.45 (define @t197 () (or @t187 @t196)) % 19.22/19.45 (define @t198 () (= @t183 @t162)) % 19.22/19.45 (define @t199 () (or @t188 @t198)) % 19.22/19.45 (define @t200 () (not @t199)) % 19.22/19.45 (define @t201 () (or @t188 (= @t162 @t183))) % 19.22/19.45 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 19.22/19.45 (assume @p2 (forall @t7 (=> @t6 @t5))) % 19.22/19.45 (assume @p3 (forall @t7 (=> @t6 @t8))) % 19.22/19.45 (assume @p4 (forall @t7 (=> @t11 @t10))) % 19.22/19.45 (assume @p5 @t24) % 19.22/19.45 (assume @p6 @t28) % 19.22/19.45 (assume @p7 (forall @t7 (exists @t29 (tptp.element @t2 @t1)))) % 19.22/19.45 (assume @p8 (and @t31 @t30 (tptp.relation_empty_yielding tptp.empty_set))) % 19.22/19.45 (assume @p9 (forall @t7 (not (tptp.empty @t32)))) % 19.22/19.45 (assume @p10 @t31) % 19.22/19.45 (assume @p11 (and @t31 @t30)) % 19.22/19.45 (assume @p12 @t36) % 19.22/19.45 (assume @p13 (forall @t7 (=> @t39 (not @t37)))) % 19.22/19.45 (assume @p14 (forall @t7 (=> @t6 (and @t37 (tptp.relation @t15))))) % 19.22/19.45 (assume @p15 (exists @t7 @t22)) % 19.22/19.45 (assume @p16 (exists @t7 (and @t6 @t8))) % 19.22/19.45 (assume @p17 (forall @t7 (=> @t38 (exists @t29 (and @t41 (not @t40)))))) % 19.22/19.45 (assume @p18 (exists @t7 @t6)) % 19.22/19.45 (assume @p19 (exists @t7 @t11)) % 19.22/19.45 (assume @p20 (exists @t7 @t39)) % 19.22/19.45 (assume @p21 (forall @t7 (exists @t29 (and @t41 @t40)))) % 19.22/19.45 (assume @p22 (exists @t7 @t38)) % 19.22/19.45 (assume @p23 (exists @t7 @t10)) % 19.22/19.45 (assume @p24 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 19.22/19.45 (assume @p25 (forall @t4 (tptp.subset @t1 @t1))) % 19.22/19.45 (assume @p26 (forall @t4 (=> @t3 @t42))) % 19.22/19.45 (assume @p27 (forall @t4 (=> @t42 (or @t40 @t3)))) % 19.22/19.45 (assume @p28 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 19.22/19.45 (assume @p29 (forall @t44 (=> (and @t3 @t43) (tptp.element @t1 @t12)))) % 19.22/19.45 (assume @p30 (forall @t44 (not (and @t3 @t43 (tptp.empty @t12))))) % 19.22/19.45 (assume @p31 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 19.22/19.45 (assume @p32 (forall @t4 (not (and @t3 @t40)))) % 19.22/19.45 (assume @p33 @t63) % 19.22/19.45 (assume @p34 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t40)))) % 19.22/19.45 (assume @p35 @t68) % 19.22/19.45 (assume @p36 true) % 19.22/19.45 (step @p37 :rule eq-symm :args (@t70 @t47)) % 19.22/19.45 (step @p38 :rule refl :args (@t71)) % 19.22/19.45 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t72)) % 19.22/19.45 (step @p40 :rule cong :premises (@p39) :args (@t73)) % 19.22/19.45 (step @p41 :rule refl :args (@t74)) % 19.22/19.45 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t75)) % 19.22/19.45 (step @p43 :rule refl :args (@t76)) % 19.22/19.45 (step @p44 :rule cong :premises (@p43 @p42) :args (@t77)) % 19.22/19.45 (step @p45 :rule refl :args (@t78)) % 19.22/19.45 (step @p46 :rule refl :args (@t79)) % 19.22/19.45 (step @p47 :rule refl :args (@t80)) % 19.22/19.45 (step @p48 :rule refl :args (@t81)) % 19.22/19.45 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46 @p45 @p44) :args (@t82)) % 19.22/19.45 (step @p50 :rule aci_norm :args ((= @t84 @t82))) % 19.22/19.45 (step @p51 :rule trans :premises (@p50 @p49)) % 19.22/19.45 (step @p52 :rule cong :premises (@p51) :args (@t86)) % 19.22/19.45 (step @p53 :rule quant-merge-prenex :args 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process_scope :premises (@p344) :args (@t174)) % 19.22/19.45 (step @p246 :rule eq_resolve :premises (@p244 @p241)) % 19.22/19.45 (step @p247 :rule implies_elim :premises (@p246)) % 19.22/19.45 (step @p248 :rule chain_m_resolution :premises (@p247 @p238) :args (@t176 @t132 @t177)) % 19.22/19.45 (step @p249 :rule instantiate :premises (@p207) :args ((@list @t105))) % 19.22/19.45 (step @p250 :rule cnf_or_pos :args (@t179)) % 19.22/19.45 (step @p251 :rule reordering :premises (@p250) :args ((or @t128 @t126 @t178 (not @t179)))) % 19.22/19.45 (step @p252 :rule chain_m_resolution :premises (@p251 @p172 @p165 @p249) :args (@t178 @t142 (@list @t127 @t125 @t179))) % 19.22/19.45 (step @p253 :rule cnf_or_neg :args (@t137 3)) % 19.22/19.45 (step @p254 :rule chain_m_resolution :premises (@p253 @p146) :args ((not @t134) @t138 @t139)) % 19.22/19.45 (step @p255 :rule cnf_equiv_pos2 :args (@t178)) % 19.22/19.45 (step @p256 :rule reordering :premises (@p255) :args ((or @t134 @t180 (not @t178)))) % 19.22/19.45 (step @p257 :rule chain_m_resolution :premises (@p256 @p254 @p252) :args (@t180 @t181 (@list @t134 @t178))) % 19.22/19.45 (step @p258 :rule skolemize :premises (@p257)) % 19.22/19.45 (step @p259 :rule bool-double-not-elim :args (@t173)) % 19.22/19.45 (step @p260 :rule refl :args (@t189)) % 19.22/19.45 (step @p261 :rule nary_cong :premises (@p260 @p259) :args ((or @t189 (not @t188)))) % 19.22/19.45 (step @p262 :rule cnf_or_neg :args (@t189 0)) % 19.22/19.45 (step @p263 :rule eq_resolve :premises (@p262 @p261)) % 19.22/19.45 (step @p264 :rule reordering :premises (@p263) :args ((or @t173 @t189))) % 19.22/19.45 (step @p265 :rule chain_m_resolution :premises (@p264 @p258) :args (@t173 @t138 @t190)) % 19.22/19.45 (step @p266 :rule cnf_equiv_pos1 :args (@t176)) % 19.22/19.45 (step @p267 :rule reordering :premises (@p266) :args ((or @t188 @t172 (not @t176)))) % 19.22/19.45 (step @p268 :rule chain_m_resolution :premises (@p267 @p265 @p248) :args (@t172 @t144 (@list @t173 @t176))) % 19.22/19.45 (step @p269 :rule cnf_and_pos :args (@t172 0)) % 19.22/19.45 (step @p270 :rule reordering :premises (@p269) :args ((or @t167 (not @t172)))) % 19.22/19.45 (step @p271 :rule chain_m_resolution :premises (@p270 @p268) :args (@t167 @t132 (@list @t172))) % 19.22/19.45 (step @p272 :rule eq-symm :args (@t191 @t186)) % 19.22/19.45 (step @p273 :rule cong :premises (@p240 @p272) :args ((=> @t114 @t192))) % 19.22/19.45 (assume-push @p345 @t114) % 19.22/19.45 (step @p275 :rule instantiate :premises (@p238) :args (@t193)) % 19.22/19.45 (step-pop @p346 :rule scope :premises (@p275)) % 19.22/19.45 (step @p276 :rule process_scope :premises (@p346) :args (@t192)) % 19.22/19.45 (step @p278 :rule eq_resolve :premises (@p276 @p273)) % 19.22/19.45 (step @p279 :rule implies_elim :premises (@p278)) % 19.22/19.45 (step @p280 :rule chain_m_resolution :premises (@p279 @p238) :args (@t194 @t132 @t177)) % 19.22/19.45 (step @p281 :rule bool-double-not-elim :args (@t186)) % 19.22/19.45 (step @p282 :rule nary_cong :premises (@p260 @p281) :args ((or @t189 (not @t187)))) % 19.22/19.45 (step @p283 :rule cnf_or_neg :args (@t189 1)) % 19.22/19.45 (step @p284 :rule eq_resolve :premises (@p283 @p282)) % 19.22/19.45 (step @p285 :rule reordering :premises (@p284) :args ((or @t186 @t189))) % 19.22/19.45 (step @p286 :rule chain_m_resolution :premises (@p285 @p258) :args (@t186 @t138 @t190)) % 19.22/19.45 (step @p287 :rule cnf_equiv_pos1 :args (@t194)) % 19.22/19.45 (step @p288 :rule reordering :premises (@p287) :args ((or @t187 @t191 (not @t194)))) % 19.22/19.45 (step @p289 :rule chain_m_resolution :premises (@p288 @p286 @p280) :args (@t191 @t144 (@list @t186 @t194))) % 19.22/19.45 (step @p290 :rule cnf_and_pos :args (@t191 0)) % 19.22/19.45 (step @p291 :rule reordering :premises (@p290) :args ((or @t165 (not @t191)))) % 19.22/19.45 (step @p292 :rule chain_m_resolution :premises (@p291 @p289) :args (@t165 @t132 (@list @t191))) % 19.22/19.45 (step @p293 :rule cnf_or_neg :args (@t189 3)) % 19.22/19.45 (step @p294 :rule chain_m_resolution :premises (@p293 @p258) :args ((not @t161) @t138 @t190)) % 19.22/19.45 (step @p295 :rule cnf_or_pos :args (@t171)) % 19.22/19.45 (step @p296 :rule reordering :premises (@p295) :args ((or @t161 @t166 @t168 @t170 (not @t171)))) % 19.22/19.45 (step @p297 :rule chain_m_resolution :premises (@p296 @p294 @p292 @p271 @p235) :args (@t170 (@list true false false false) (@list @t161 @t165 @t167 @t171))) % 19.22/19.45 (step @p298 :rule false_intro :premises (@p297)) % 19.22/19.45 (step @p299 :rule refl :args (@t162)) % 19.22/19.45 (step @p300 :rule eq-symm :args (@t163 @t182)) % 19.22/19.45 (step @p301 :rule refl :args (@t187)) % 19.22/19.45 (step @p302 :rule nary_cong :premises (@p301 @p300) :args (@t195)) % 19.22/19.45 (step @p303 :rule refl :args (@t111)) % 19.22/19.45 (step @p304 :rule cong :premises (@p303 @p302) :args ((=> @t111 @t195))) % 19.22/19.45 (assume-push @p347 @t111) % 19.22/19.45 (step @p306 :rule instantiate :premises (@p178) :args (@t193)) % 19.22/19.45 (step-pop @p348 :rule scope :premises (@p306)) % 19.22/19.45 (step @p307 :rule process_scope :premises (@p348) :args (@t195)) % 19.22/19.45 (step @p309 :rule eq_resolve :premises (@p307 @p304)) % 19.22/19.45 (step @p310 :rule implies_elim :premises (@p309)) % 19.22/19.45 (step @p311 :rule chain_m_resolution :premises (@p310 @p178) :args (@t197 @t132 (@list @t111))) % 19.22/19.45 (step @p312 :rule cnf_or_pos :args (@t197)) % 19.22/19.45 (step @p313 :rule reordering :premises (@p312) :args ((or @t187 @t196 (not @t197)))) % 19.22/19.45 (step @p314 :rule chain_m_resolution :premises (@p313 @p286 @p311) :args (@t196 @t144 (@list @t186 @t197))) % 19.22/19.45 (step @p315 :rule bool-double-not-elim :args (@t184)) % 19.22/19.45 (step @p316 :rule nary_cong :premises (@p260 @p315) :args ((or @t189 (not @t185)))) % 19.22/19.45 (step @p317 :rule cnf_or_neg :args (@t189 2)) % 19.22/19.45 (step @p318 :rule eq_resolve :premises (@p317 @p316)) % 19.22/19.45 (step @p319 :rule reordering :premises (@p318) :args ((or @t184 @t189))) % 19.22/19.45 (step @p320 :rule chain_m_resolution :premises (@p319 @p258) :args (@t184 @t138 @t190)) % 19.22/19.45 (step @p321 :rule trans :premises (@p320 @p314)) % 19.22/19.45 (step @p322 :rule cong :premises (@p321 @p299) :args (@t198)) % 19.22/19.45 (step @p323 :rule trans :premises (@p322 @p298)) % 19.22/19.45 (step @p324 :rule false_elim :premises (@p323)) % 19.22/19.45 (step @p325 :rule cnf_or_pos :args (@t199)) % 19.22/19.45 (step @p326 :rule reordering :premises (@p325) :args ((or @t188 @t198 @t200))) % 19.22/19.45 (step @p327 :rule chain_m_resolution :premises (@p326 @p265 @p324) :args (@t200 (@list false true) (@list @t173 @t198))) % 19.22/19.45 (step @p328 :rule eq-symm :args (@t162 @t183)) % 19.22/19.45 (step @p329 :rule refl :args (@t188)) % 19.22/19.45 (step @p330 :rule nary_cong :premises (@p329 @p328) :args (@t201)) % 19.22/19.45 (step @p331 :rule cong :premises (@p303 @p330) :args ((=> @t111 @t201))) % 19.22/19.45 (assume-push @p349 @t111) % 19.22/19.46 (step @p333 :rule instantiate :premises (@p178) :args (@t175)) % 19.22/19.46 (step-pop @p350 :rule scope :premises (@p333)) % 19.22/19.46 (step @p334 :rule process_scope :premises (@p350) :args (@t201)) % 19.22/19.46 (step @p336 :rule eq_resolve :premises (@p334 @p331)) % 19.22/19.46 (step @p337 :rule implies_elim :premises (@p336)) % 19.22/19.46 (step @p338 false :rule chain_m_resolution :premises (@p337 @p327 @p178) :args (false @t181 (@list @t199 @t111))) % 19.22/19.46 ) % 19.22/19.46 % SZS output end Proof % 19.22/19.46 % cvc5 exiting %------------------------------------------------------------------------------