%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU170+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:50:50 AM UTC 2026 % Result : Theorem 34.32s 34.52s % Output : Proof 34.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU170+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n006.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:33:19 EDT 2026 % 0.18/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 34.32/34.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.32/34.52 --- Run --no-e-matching --full-saturate-quant at 6... % 34.32/34.52 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.32/34.52 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.32/34.52 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.32/34.52 % SZS status Theorem % 34.32/34.52 % SZS output start Proof % 34.32/34.52 ( % 34.32/34.52 (declare-sort $$unsorted 0) % 34.32/34.52 (declare-const tptp.empty_set $$unsorted) % 34.32/34.52 (declare-const tptp.empty (-> $$unsorted Bool)) % 34.32/34.52 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 34.32/34.52 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 34.32/34.52 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 34.32/34.52 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 34.32/34.52 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 34.32/34.52 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 34.32/34.52 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 34.32/34.52 (define @t1 () (@var "A" $$unsorted)) % 34.32/34.52 (define @t2 () (@var "B" $$unsorted)) % 34.32/34.52 (define @t3 () (tptp.in @t1 @t2)) % 34.32/34.52 (define @t4 () (@list @t1 @t2)) % 34.32/34.52 (define @t5 () (@var "C" $$unsorted)) % 34.32/34.52 (define @t6 () (tptp.in @t5 @t2)) % 34.32/34.52 (define @t7 () (tptp.in @t5 @t1)) % 34.32/34.52 (define @t8 () (@list @t5)) % 34.32/34.52 (define @t9 () (forall @t8 (=> @t7 @t6))) % 34.32/34.52 (define @t10 () (tptp.subset @t1 @t2)) % 34.32/34.52 (define @t11 () (= @t10 @t9)) % 34.32/34.52 (define @t12 () (forall @t4 @t11)) % 34.32/34.52 (define @t13 () (@var "D" $$unsorted)) % 34.32/34.52 (define @t14 () (@list @t13)) % 34.32/34.52 (define @t15 () (tptp.set_difference @t1 @t2)) % 34.32/34.52 (define @t16 () (forall (@list @t1 @t2 @t5) (= (= @t5 @t15) (forall @t14 (= (tptp.in @t13 @t5) (and (tptp.in @t13 @t1) (not (tptp.in @t13 @t2)))))))) % 34.32/34.52 (define @t17 () (tptp.subset_complement @t1 @t2)) % 34.32/34.52 (define @t18 () (tptp.powerset @t1)) % 34.32/34.52 (define @t19 () (tptp.element @t2 @t18)) % 34.32/34.52 (define @t20 () (=> @t19 (= @t17 @t15))) % 34.32/34.52 (define @t21 () (forall @t4 @t20)) % 34.32/34.52 (define @t22 () (tptp.element @t17 @t18)) % 34.32/34.52 (define @t23 () (forall @t4 (=> @t19 @t22))) % 34.32/34.52 (define @t24 () (@list @t2)) % 34.32/34.52 (define @t25 () (@list @t1)) % 34.32/34.52 (define @t26 () (tptp.subset_complement @t1 @t17)) % 34.32/34.52 (define @t27 () (=> @t19 (= @t26 @t2))) % 34.32/34.52 (define @t28 () (forall @t4 @t27)) % 34.32/34.52 (define @t29 () (forall @t8 (=> @t6 @t7))) % 34.32/34.52 (define @t30 () (=> @t19 @t29)) % 34.32/34.52 (define @t31 () (forall @t4 @t30)) % 34.32/34.52 (define @t32 () (tptp.empty @t2)) % 34.32/34.52 (define @t33 () (tptp.empty @t1)) % 34.32/34.52 (define @t34 () (not @t33)) % 34.32/34.52 (define @t35 () (tptp.disjoint @t1 @t2)) % 34.32/34.52 (define @t36 () (and @t7 @t6)) % 34.32/34.52 (define @t37 () (exists @t8 @t36)) % 34.32/34.52 (define @t38 () (and @t37 @t35)) % 34.32/34.52 (define @t39 () (not @t38)) % 34.32/34.52 (define @t40 () (forall @t8 (not @t36))) % 34.32/34.52 (define @t41 () (not @t35)) % 34.32/34.52 (define @t42 () (and @t41 @t40)) % 34.32/34.52 (define @t43 () (not @t42)) % 34.32/34.52 (define @t44 () (and @t43 @t39)) % 34.32/34.52 (define @t45 () (forall @t4 @t44)) % 34.32/34.52 (define @t46 () (= (tptp.disjoint @t2 @t5) (tptp.subset @t2 (tptp.subset_complement @t1 @t5)))) % 34.32/34.52 (define @t47 () (tptp.element @t5 @t18)) % 34.32/34.52 (define @t48 () (forall @t8 (=> @t47 @t46))) % 34.32/34.52 (define @t49 () (=> @t19 @t48)) % 34.32/34.52 (define @t50 () (forall @t4 @t49)) % 34.32/34.52 (define @t51 () (not @t50)) % 34.32/34.52 (define @t52 () (= @t2 @t26)) % 34.32/34.52 (define @t53 () (@var "BOUND_VARIABLE_7686" $$unsorted)) % 34.32/34.52 (define @t54 () (= (tptp.disjoint @t2 @t53) (tptp.subset @t2 (tptp.subset_complement @t1 @t53)))) % 34.32/34.52 (define @t55 () (not (tptp.element @t53 @t18))) % 34.32/34.52 (define @t56 () (not @t19)) % 34.32/34.52 (define @t57 () (or @t56 @t55 @t54)) % 34.32/34.52 (define @t58 () (@list @t1 @t2 @t53)) % 34.32/34.52 (define @t59 () (forall @t58 @t57)) % 34.32/34.52 (define @t60 () (@quantifiers_skolemize @t59 2)) % 34.32/34.52 (define @t61 () (@quantifiers_skolemize @t59 0)) % 34.32/34.52 (define @t62 () (@list @t61 @t60)) % 34.32/34.52 (define @t63 () (or @t55 @t54)) % 34.32/34.52 (define @t64 () (or @t56 @t63)) % 34.32/34.52 (define @t65 () (forall @t58 @t64)) % 34.32/34.52 (define @t66 () (@list @t53)) % 34.32/34.52 (define @t67 () (forall @t66 @t64)) % 34.32/34.52 (define @t68 () (forall @t66 @t63)) % 34.32/34.52 (define @t69 () (@list @t5)) % 34.32/34.52 (define @t70 () (or @t56 @t68)) % 34.32/34.52 (define @t71 () (forall @t8 (or (not @t47) @t46))) % 34.32/34.52 (define @t72 () (tptp.powerset @t61)) % 34.32/34.52 (define @t73 () (tptp.element @t60 @t72)) % 34.32/34.52 (define @t74 () (tptp.subset_complement @t61 @t60)) % 34.32/34.52 (define @t75 () (@quantifiers_skolemize @t59 1)) % 34.32/34.52 (define @t76 () (tptp.subset @t75 @t74)) % 34.32/34.52 (define @t77 () (tptp.disjoint @t75 @t60)) % 34.32/34.52 (define @t78 () (= @t77 @t76)) % 34.32/34.52 (define @t79 () (not @t73)) % 34.32/34.52 (define @t80 () (tptp.element @t75 @t72)) % 34.32/34.52 (define @t81 () (not @t80)) % 34.32/34.52 (define @t82 () (or @t81 @t79 @t78)) % 34.32/34.52 (define @t83 () (@list true)) % 34.32/34.52 (define @t84 () (@list @t82)) % 34.32/34.52 (define @t85 () (tptp.subset_complement @t61 @t74)) % 34.32/34.52 (define @t86 () (= @t60 @t85)) % 34.32/34.52 (define @t87 () (or @t79 @t86)) % 34.32/34.52 (define @t88 () (@list false false)) % 34.32/34.52 (define @t89 () (= @t15 @t17)) % 34.32/34.52 (define @t90 () (tptp.set_difference @t61 @t74)) % 34.32/34.52 (define @t91 () (tptp.element @t74 @t72)) % 34.32/34.52 (define @t92 () (not @t91)) % 34.32/34.52 (define @t93 () (or @t92 (= @t90 @t85))) % 34.32/34.52 (define @t94 () (forall @t4 (or @t56 @t89))) % 34.32/34.52 (define @t95 () (= @t85 @t90)) % 34.32/34.52 (define @t96 () (or @t92 @t95)) % 34.32/34.52 (define @t97 () (@list false)) % 34.32/34.52 (define @t98 () (or @t79 @t91)) % 34.32/34.52 (define @t99 () (@var "BOUND_VARIABLE_7651" $$unsorted)) % 34.32/34.52 (define @t100 () (@var "BOUND_VARIABLE_7665" $$unsorted)) % 34.32/34.52 (define @t101 () (not (tptp.in @t100 @t99))) % 34.32/34.52 (define @t102 () (@var "BOUND_VARIABLE_7649" $$unsorted)) % 34.32/34.52 (define @t103 () (not (tptp.in @t100 @t102))) % 34.32/34.52 (define @t104 () (not (tptp.disjoint @t102 @t99))) % 34.32/34.52 (define @t105 () (or @t103 @t101)) % 34.32/34.52 (define @t106 () (or @t105 @t104)) % 34.32/34.52 (define @t107 () (forall (@list @t102 @t99 @t100) @t106)) % 34.32/34.52 (define @t108 () (@list @t100)) % 34.32/34.52 (define @t109 () (forall @t108 @t106)) % 34.32/34.52 (define @t110 () (@list @t102 @t99)) % 34.32/34.52 (define @t111 () (forall @t108 @t105)) % 34.32/34.52 (define @t112 () (or @t111 @t104)) % 34.32/34.52 (define @t113 () (forall @t110 (or (forall @t8 (or (not (tptp.in @t5 @t102)) (not (tptp.in @t5 @t99)))) @t104))) % 34.32/34.52 (define @t114 () (@var "BOUND_VARIABLE_7636" $$unsorted)) % 34.32/34.52 (define @t115 () (@var "BOUND_VARIABLE_7634" $$unsorted)) % 34.32/34.52 (define @t116 () (forall (@list @t115 @t114) (or (tptp.disjoint @t115 @t114) (not (forall @t8 (or (not (tptp.in @t5 @t115)) (not (tptp.in @t5 @t114)))))))) % 34.32/34.52 (define @t117 () (not @t6)) % 34.32/34.52 (define @t118 () (forall @t8 (or (not @t7) @t117))) % 34.32/34.52 (define @t119 () (or @t118 @t41)) % 34.32/34.52 (define @t120 () (forall @t4 @t119)) % 34.32/34.52 (define @t121 () (@list @t1 @t2)) % 34.32/34.52 (define @t122 () (not @t118)) % 34.32/34.52 (define @t123 () (or @t35 @t122)) % 34.32/34.52 (define @t124 () (forall @t4 @t123)) % 34.32/34.52 (define @t125 () (and @t124 @t120)) % 34.32/34.52 (define @t126 () (and (not (and @t41 @t118)) (not (and @t122 @t35)))) % 34.32/34.52 (define @t127 () (not @t40)) % 34.32/34.52 (define @t128 () (not (tptp.in @t5 @t75))) % 34.32/34.52 (define @t129 () (forall @t8 (or @t128 (tptp.in @t5 @t74)))) % 34.32/34.52 (define @t130 () (= @t76 @t129)) % 34.32/34.52 (define @t131 () (not @t130)) % 34.32/34.52 (define @t132 () (not @t129)) % 34.32/34.52 (define @t133 () (@quantifiers_skolemize @t129 0)) % 34.32/34.52 (define @t134 () (tptp.in @t133 @t74)) % 34.32/34.52 (define @t135 () (tptp.in @t133 @t75)) % 34.32/34.52 (define @t136 () (not @t135)) % 34.32/34.52 (define @t137 () (or @t136 @t134)) % 34.32/34.52 (define @t138 () (not @t137)) % 34.32/34.52 (define @t139 () (@var "BOUND_VARIABLE_7572" $$unsorted)) % 34.32/34.52 (define @t140 () (tptp.in @t139 @t1)) % 34.32/34.52 (define @t141 () (not (tptp.in @t139 @t2))) % 34.32/34.52 (define @t142 () (or @t141 @t140)) % 34.32/34.52 (define @t143 () (or @t56 @t142)) % 34.32/34.52 (define @t144 () (forall (@list @t1 @t2 @t139) @t143)) % 34.32/34.52 (define @t145 () (@list @t139)) % 34.32/34.52 (define @t146 () (forall @t145 @t143)) % 34.32/34.52 (define @t147 () (forall @t145 @t142)) % 34.32/34.52 (define @t148 () (or @t56 @t147)) % 34.32/34.52 (define @t149 () (forall @t8 (or @t117 @t7))) % 34.32/34.52 (define @t150 () (tptp.in @t133 @t61)) % 34.32/34.52 (define @t151 () (or @t81 @t136 @t150)) % 34.32/34.52 (define @t152 () (tptp.in @t133 @t60)) % 34.32/34.52 (define @t153 () (not @t152)) % 34.32/34.52 (define @t154 () (not @t77)) % 34.32/34.52 (define @t155 () (or @t154 @t136 @t153)) % 34.32/34.52 (define @t156 () (not @t150)) % 34.32/34.52 (define @t157 () (not @t134)) % 34.32/34.52 (define @t158 () (and @t150 @t157)) % 34.32/34.52 (define @t159 () (forall @t14 (= (tptp.in @t13 @t90) (and (tptp.in @t13 @t61) (not (tptp.in @t13 @t74)))))) % 34.32/34.52 (define @t160 () (= (= @t90 @t90) @t159)) % 34.32/34.52 (define @t161 () (tptp.in @t133 @t90)) % 34.32/34.52 (define @t162 () (= @t161 @t158)) % 34.32/34.52 (define @t163 () (not @t161)) % 34.32/34.52 (define @t164 () (not @t95)) % 34.32/34.52 (define @t165 () (not @t86)) % 34.32/34.52 (define @t166 () (and @t86 @t95 @t153)) % 34.32/34.52 (define @t167 () (forall @t8 (or @t128 (not (tptp.in @t5 @t60))))) % 34.32/34.52 (define @t168 () (not @t167)) % 34.32/34.52 (define @t169 () (or @t77 @t168)) % 34.32/34.52 (define @t170 () (@list true false)) % 34.32/34.52 (define @t171 () (@quantifiers_skolemize @t167 0)) % 34.32/34.52 (define @t172 () (tptp.in @t171 @t60)) % 34.32/34.52 (define @t173 () (not @t172)) % 34.32/34.52 (define @t174 () (tptp.in @t171 @t75)) % 34.32/34.52 (define @t175 () (not @t174)) % 34.32/34.52 (define @t176 () (or @t175 @t173)) % 34.32/34.52 (define @t177 () (not @t176)) % 34.32/34.52 (define @t178 () (@list @t176)) % 34.32/34.52 (define @t179 () (@list @t171)) % 34.32/34.52 (define @t180 () (tptp.in @t171 @t74)) % 34.32/34.52 (define @t181 () (or @t175 @t180)) % 34.32/34.52 (define @t182 () (not @t180)) % 34.32/34.52 (define @t183 () (and (tptp.in @t171 @t61) @t182)) % 34.32/34.52 (define @t184 () (not @t183)) % 34.32/34.52 (define @t185 () (tptp.in @t171 @t90)) % 34.32/34.52 (define @t186 () (= @t185 @t183)) % 34.32/34.52 (define @t187 () (not @t185)) % 34.32/34.52 (define @t188 () (and @t86 @t95 @t172)) % 34.32/34.52 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 34.32/34.52 (assume @p2 @t12) % 34.32/34.52 (assume @p3 @t16) % 34.32/34.52 (assume @p4 @t21) % 34.32/34.52 (assume @p5 true) % 34.32/34.52 (assume @p6 @t23) % 34.32/34.52 (assume @p7 (forall @t25 (exists @t24 (tptp.element @t2 @t1)))) % 34.32/34.52 (assume @p8 (forall @t25 (not (tptp.empty @t18)))) % 34.32/34.52 (assume @p9 (tptp.empty tptp.empty_set)) % 34.32/34.52 (assume @p10 @t28) % 34.32/34.52 (assume @p11 @t31) % 34.32/34.52 (assume @p12 (forall @t25 (=> @t34 (exists @t24 (and @t19 (not @t32)))))) % 34.32/34.52 (assume @p13 (exists @t25 @t33)) % 34.32/34.52 (assume @p14 (forall @t25 (exists @t24 (and @t19 @t32)))) % 34.32/34.52 (assume @p15 (exists @t25 @t34)) % 34.32/34.52 (assume @p16 (forall @t4 (tptp.subset @t1 @t1))) % 34.32/34.52 (assume @p17 (forall @t4 (=> @t35 (tptp.disjoint @t2 @t1)))) % 34.32/34.52 (assume @p18 (forall @t25 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 34.32/34.52 (assume @p19 @t45) % 34.32/34.52 (assume @p20 @t51) % 34.32/34.52 (assume @p21 (forall @t25 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 34.32/34.52 (assume @p22 (forall @t25 (=> @t33 (= @t1 tptp.empty_set)))) % 34.32/34.52 (assume @p23 (forall @t4 (not (and @t3 @t32)))) % 34.32/34.52 (assume @p24 (forall @t4 (not (and @t33 (not (= @t1 @t2)) @t32)))) % 34.32/34.52 (step @p25 :rule bool-impl-elim :args (@t19 @t52)) % 34.32/34.52 (step @p26 :rule cong :premises (@p25) :args ((forall @t4 (=> @t19 @t52)))) % 34.32/34.52 (step @p27 :rule eq-symm :args (@t26 @t2)) % 34.32/34.52 (step @p28 :rule refl :args (@t19)) % 34.32/34.52 (step @p29 :rule cong :premises (@p28 @p27) :args (@t27)) % 34.32/34.52 (step @p30 :rule cong :premises (@p29) :args (@t28)) % 34.32/34.52 (step @p31 :rule trans :premises (@p30 @p26)) % 34.32/34.52 (step @p32 :rule eq_resolve :premises (@p10 @p31)) % 34.32/34.52 (step @p33 :rule instantiate :premises (@p32) :args (@t62)) % 34.32/34.52 (step @p34 :rule aci_norm :args ((= @t64 @t57))) % 34.32/34.52 (step @p35 :rule cong :premises (@p34) :args (@t65)) % 34.32/34.52 (step @p36 :rule quant-merge-prenex :args ((= (forall @t4 @t67) @t65))) % 34.32/34.52 (step @p37 :rule alpha_equiv :args (@t68 (@list @t53) @t69)) % 34.32/34.52 (step @p38 :rule refl :args (@t56)) % 34.32/34.52 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t70)) % 34.32/34.52 (step @p40 :rule quant-miniscope-or :args ((= @t67 @t70))) % 34.32/34.52 (step @p41 :rule trans :premises (@p40 @p39)) % 34.32/34.52 (step @p42 :rule symm :premises (@p41)) % 34.32/34.52 (step @p43 :rule cong :premises (@p42) :args ((forall @t4 (or @t56 @t71)))) % 34.32/34.52 (step @p44 :rule trans :premises (@p43 @p36)) % 34.32/34.52 (step @p45 :rule trans :premises (@p44 @p35)) % 34.32/34.52 (step @p46 :rule bool-impl-elim :args (@t19 @t71)) % 34.32/34.52 (step @p47 :rule cong :premises (@p46) :args ((forall @t4 (=> @t19 @t71)))) % 34.32/34.52 (step @p48 :rule trans :premises (@p47 @p45)) % 34.32/34.52 (step @p49 :rule bool-impl-elim :args (@t47 @t46)) % 34.32/34.52 (step @p50 :rule cong :premises (@p49) :args (@t48)) % 34.32/34.52 (step @p51 :rule cong :premises (@p28 @p50) :args (@t49)) % 34.32/34.52 (step @p52 :rule cong :premises (@p51) :args (@t50)) % 34.32/34.52 (step @p53 :rule trans :premises (@p52 @p48)) % 34.32/34.52 (step @p54 :rule cong :premises (@p53) :args (@t51)) % 34.32/34.52 (step @p55 :rule eq_resolve :premises (@p20 @p54)) % 34.32/34.52 (step @p56 :rule skolemize :premises (@p55)) % 34.32/34.52 (step @p57 :rule bool-double-not-elim :args (@t73)) % 34.32/34.52 (step @p58 :rule refl :args (@t82)) % 34.32/34.52 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t82 (not @t79)))) % 34.32/34.52 (step @p60 :rule cnf_or_neg :args (@t82 1)) % 34.32/34.52 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 34.32/34.52 (step @p62 :rule reordering :premises (@p61) :args ((or @t73 @t82))) % 34.32/34.52 (step 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34.32/34.53 (step @p258 :rule process_scope :premises (@p358) :args (@t163)) % 34.32/34.53 (step @p262 :rule implies_elim :premises (@p258)) % 34.32/34.53 (step @p263 :rule cnf_and_neg :args (@t166)) % 34.32/34.53 (step @p264 :rule resolution :premises (@p263 @p262) :args (true @t166)) % 34.32/34.53 (step @p265 :rule eq_resolve :premises (@p264 @p237)) % 34.32/34.53 (step @p266 :rule reordering :premises (@p265) :args ((or @t165 @t152 @t164 @t163))) % 34.32/34.53 (step @p267 :rule chain_m_resolution :premises (@p266 @p95 @p66 @p232 @p230 @p213 @p206 @p204 @p202 @p200 @p179 @p173 @p172 @p166 @p157 @p155 @p148 @p147) :args (@t154 (@list false false false false false true false false false false true false true true false true true) (@list @t95 @t86 @t161 @t162 @t158 @t152 @t155 @t150 @t151 @t80 @t134 @t135 @t137 @t129 @t130 @t76 @t78))) % 34.32/34.53 (step @p268 :rule cnf_or_pos :args (@t169)) % 34.32/34.53 (step @p269 :rule reordering :premises (@p268) :args ((or @t77 @t168 (not @t169)))) % 34.32/34.53 (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p145) :args (@t168 @t170 (@list @t77 @t169))) % 34.32/34.53 (step @p271 :rule refl :args (@t177)) % 34.32/34.53 (step @p272 :rule bool-double-not-elim :args (@t167)) % 34.32/34.53 (step @p273 :rule nary_cong :premises (@p272 @p271) :args ((or (not @t168) @t177))) % 34.32/34.53 (assume-push @p359 @t168) % 34.32/34.53 (step @p275 :rule skolemize :premises (@p359)) % 34.32/34.53 (step-pop @p360 :rule scope :premises (@p275)) % 34.32/34.53 (step @p276 :rule process_scope :premises (@p360) :args (@t177)) % 34.32/34.53 (step @p278 :rule implies_elim :premises (@p276)) % 34.32/34.53 (step @p279 :rule eq_resolve :premises (@p278 @p273)) % 34.32/34.53 (step @p280 :rule chain_m_resolution :premises (@p279 @p270) :args (@t177 @t83 (@list @t167))) % 34.32/34.53 (step @p281 :rule bool-double-not-elim :args (@t172)) % 34.32/34.53 (step @p282 :rule refl :args (@t176)) % 34.32/34.53 (step @p283 :rule nary_cong :premises (@p282 @p281) :args ((or @t176 (not @t173)))) % 34.32/34.53 (step @p284 :rule cnf_or_neg :args (@t176 1)) % 34.32/34.53 (step @p285 :rule eq_resolve :premises (@p284 @p283)) % 34.32/34.53 (step @p286 :rule reordering :premises (@p285) :args ((or @t172 @t176))) % 34.32/34.53 (step @p287 :rule chain_m_resolution :premises (@p286 @p280) :args (@t172 @t83 @t178)) % 34.32/34.53 (step @p288 :rule instantiate :premises (@p229) :args (@t179)) % 34.32/34.53 (step @p289 :rule cnf_equiv_neg1 :args (@t78)) % 34.32/34.53 (step @p290 :rule reordering :premises (@p289) :args ((or @t77 @t76 @t78))) % 34.32/34.53 (step @p291 :rule chain_m_resolution :premises (@p290 @p267 @p147) :args (@t76 (@list true true) (@list @t77 @t78))) % 34.32/34.53 (step @p292 :rule cnf_equiv_pos1 :args (@t130)) % 34.32/34.53 (step @p293 :rule reordering :premises (@p292) :args ((or (not @t76) @t129 @t131))) % 34.32/34.53 (step @p294 :rule chain_m_resolution :premises (@p293 @p291 @p155) :args (@t129 @t88 (@list @t76 @t130))) % 34.32/34.53 (assume-push @p361 @t129) % 34.32/34.53 (step @p296 :rule instantiate :premises (@p361) :args (@t179)) % 34.32/34.53 (step-pop @p362 :rule scope :premises (@p296)) % 34.32/34.53 (step @p297 :rule process_scope :premises (@p362) :args (@t181)) % 34.32/34.53 (step @p299 :rule implies_elim :premises (@p297)) % 34.32/34.53 (step @p300 :rule chain_m_resolution :premises (@p299 @p294) :args (@t181 @t97 (@list @t129))) % 34.32/34.53 (step @p301 :rule bool-double-not-elim :args (@t174)) % 34.32/34.53 (step @p302 :rule nary_cong :premises (@p282 @p301) :args ((or @t176 (not @t175)))) % 34.32/34.53 (step @p303 :rule cnf_or_neg :args (@t176 0)) % 34.32/34.53 (step @p304 :rule eq_resolve :premises (@p303 @p302)) % 34.32/34.53 (step @p305 :rule reordering :premises (@p304) :args ((or @t174 @t176))) % 34.32/34.53 (step @p306 :rule chain_m_resolution :premises (@p305 @p280) :args (@t174 @t83 @t178)) % 34.32/34.53 (step @p307 :rule cnf_or_pos :args (@t181)) % 34.32/34.53 (step @p308 :rule reordering :premises (@p307) :args ((or @t175 @t180 (not @t181)))) % 34.32/34.53 (step @p309 :rule chain_m_resolution :premises (@p308 @p306 @p300) :args (@t180 @t88 (@list @t174 @t181))) % 34.32/34.53 (step @p310 :rule cnf_and_pos :args (@t183 1)) % 34.32/34.53 (step @p311 :rule reordering :premises (@p310) :args ((or @t182 @t184))) % 34.32/34.53 (step @p312 :rule chain_m_resolution :premises (@p311 @p309) :args (@t184 @t97 (@list @t180))) % 34.32/34.53 (step @p313 :rule cnf_equiv_pos1 :args (@t186)) % 34.32/34.53 (step @p314 :rule reordering :premises (@p313) :args ((or @t183 @t187 (not @t186)))) % 34.32/34.53 (step @p315 :rule chain_m_resolution :premises (@p314 @p312 @p288) :args (@t187 @t170 (@list @t183 @t186))) % 34.32/34.53 (assume-push @p363 @t86) % 34.32/34.53 (assume-push @p364 @t95) % 34.32/34.53 (assume-push @p365 @t172) % 34.32/34.53 (assume-push @p366 @t172) % 34.32/34.53 (assume-push @p367 @t86) % 34.32/34.53 (assume-push @p368 @t95) % 34.32/34.53 (step @p322 :rule true_intro :premises (@p365)) % 34.32/34.53 (step @p245 :rule symm :premises (@p66)) % 34.32/34.53 (step @p246 :rule symm :premises (@p95)) % 34.32/34.53 (step @p247 :rule trans :premises (@p246 @p245)) % 34.32/34.53 (step @p323 :rule refl :args (@t171)) % 34.32/34.53 (step @p324 :rule cong :premises (@p323 @p247) :args (@t185)) % 34.32/34.53 (step @p325 :rule trans :premises (@p324 @p322)) % 34.32/34.53 (step @p326 :rule true_elim :premises (@p325)) % 34.32/34.53 (step-pop @p369 :rule scope :premises (@p326)) % 34.32/34.53 (step-pop @p370 :rule scope :premises (@p369)) % 34.32/34.53 (step-pop @p371 :rule scope :premises (@p370)) % 34.32/34.53 (step @p327 :rule process_scope :premises (@p371) :args (@t185)) % 34.32/34.53 (step @p331 :rule and_intro :premises (@p365 @p66 @p95)) % 34.32/34.53 (step @p332 :rule modus_ponens :premises (@p331 @p327)) % 34.32/34.53 (step-pop @p372 :rule scope :premises (@p332)) % 34.32/34.53 (step-pop @p373 :rule scope :premises (@p372)) % 34.32/34.53 (step-pop @p374 :rule scope :premises (@p373)) % 34.32/34.53 (step @p333 :rule process_scope :premises (@p374) :args (@t185)) % 34.32/34.53 (step @p337 :rule implies_elim :premises (@p333)) % 34.32/34.53 (step @p338 :rule cnf_and_neg :args (@t188)) % 34.32/34.53 (step @p339 :rule resolution :premises (@p338 @p337) :args (true @t188)) % 34.32/34.53 (step @p340 false :rule chain_m_resolution :premises (@p339 @p315 @p287 @p95 @p66) :args (false (@list true false false false) (@list @t185 @t172 @t95 @t86))) % 34.32/34.53 ) % 34.32/34.53 % SZS output end Proof % 34.32/34.53 % cvc5 exiting %------------------------------------------------------------------------------