%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV246^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:55:40 AM UTC 2026 % Result : Theorem 1.14s 1.39s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV246^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.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 18:22:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 1.14/1.39 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.14/1.39 % SZS status Theorem % 1.14/1.39 % SZS output start Proof % 1.14/1.39 ( % 1.14/1.39 (declare-sort $$unsorted 0) % 1.14/1.39 (define @t1 () (@var "Xx" $$unsorted)) % 1.14/1.39 (define @t2 () (@var "S" (-> $$unsorted Bool))) % 1.14/1.39 (define @t3 () (_ @t2 @t1)) % 1.14/1.39 (define @t4 () (@var "Xx0" $$unsorted)) % 1.14/1.39 (define @t5 () (@var "K" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 1.14/1.39 (define @t6 () (_ @t5 @t2)) % 1.14/1.39 (define @t7 () (_ @t6 @t4)) % 1.14/1.39 (define @t8 () (_ @t2 @t4)) % 1.14/1.39 (define @t9 () (@list @t4)) % 1.14/1.39 (define @t10 () (forall @t9 (=> @t8 @t7))) % 1.14/1.39 (define @t11 () (and @t10 @t3)) % 1.14/1.39 (define @t12 () (@list @t2)) % 1.14/1.39 (define @t13 () (exists @t12 @t11)) % 1.14/1.39 (define @t14 () (@var "Xx1" $$unsorted)) % 1.14/1.39 (define @t15 () (_ @t6 @t14)) % 1.14/1.39 (define @t16 () (_ @t2 @t14)) % 1.14/1.39 (define @t17 () (@list @t14)) % 1.14/1.39 (define @t18 () (forall @t17 (=> @t16 @t15))) % 1.14/1.39 (define @t19 () (and @t18 @t8)) % 1.14/1.39 (define @t20 () (exists @t12 @t19)) % 1.14/1.39 (define @t21 () (lambda @t9 @t20)) % 1.14/1.39 (define @t22 () (=> (_ (_ @t5 @t21) @t1) @t13)) % 1.14/1.39 (define @t23 () (@list @t1)) % 1.14/1.39 (define @t24 () (forall @t23 @t22)) % 1.14/1.39 (define @t25 () (@var "Xy" (-> $$unsorted Bool))) % 1.14/1.39 (define @t26 () (_ (_ @t5 @t25) @t4)) % 1.14/1.39 (define @t27 () (@var "Xx" (-> $$unsorted Bool))) % 1.14/1.39 (define @t28 () (_ (_ @t5 @t27) @t4)) % 1.14/1.39 (define @t29 () (forall @t9 (=> @t28 @t26))) % 1.14/1.39 (define @t30 () (_ @t25 @t4)) % 1.14/1.39 (define @t31 () (_ @t27 @t4)) % 1.14/1.39 (define @t32 () (forall @t9 (=> @t31 @t30))) % 1.14/1.39 (define @t33 () (=> @t32 @t29)) % 1.14/1.39 (define @t34 () (@list @t27 @t25)) % 1.14/1.39 (define @t35 () (forall @t34 @t33)) % 1.14/1.39 (define @t36 () (=> @t35 @t24)) % 1.14/1.39 (define @t37 () (@list @t5)) % 1.14/1.39 (define @t38 () (forall @t37 @t36)) % 1.14/1.39 (define @t39 () (not @t38)) % 1.14/1.39 (define @t40 () (_ @t2 @t4)) % 1.14/1.39 (define @t41 () (not @t40)) % 1.14/1.39 (define @t42 () (@var "BOUND_VARIABLE_7545" $$unsorted)) % 1.14/1.39 (define @t43 () (_ @t5 @t2 @t4)) % 1.14/1.39 (define @t44 () (forall @t9 (or @t41 @t43))) % 1.14/1.39 (define @t45 () (not @t44)) % 1.14/1.39 (define @t46 () (not (forall @t12 (or @t45 (not (_ @t2 @t42)))))) % 1.14/1.39 (define @t47 () (_ @t5 @t2 @t14)) % 1.14/1.39 (define @t48 () (_ @t2 @t14)) % 1.14/1.39 (define @t49 () (not @t48)) % 1.14/1.39 (define @t50 () (or @t49 @t47)) % 1.14/1.39 (define @t51 () (forall @t17 @t50)) % 1.14/1.39 (define @t52 () (not @t51)) % 1.14/1.39 (define @t53 () (or @t52 @t41)) % 1.14/1.39 (define @t54 () (forall @t12 @t53)) % 1.14/1.39 (define @t55 () (not @t54)) % 1.14/1.39 (define @t56 () (lambda @t9 @t55)) % 1.14/1.39 (define @t57 () (not (_ @t5 @t56 @t42))) % 1.14/1.39 (define @t58 () (@var "BOUND_VARIABLE_7476" $$unsorted)) % 1.14/1.39 (define @t59 () (_ @t5 @t25 @t58)) % 1.14/1.39 (define @t60 () (not (_ @t5 @t27 @t58))) % 1.14/1.39 (define @t61 () (_ @t25 @t4)) % 1.14/1.39 (define @t62 () (_ @t27 @t4)) % 1.14/1.39 (define @t63 () (forall @t9 (or (not @t62) @t61))) % 1.14/1.39 (define @t64 () (not @t63)) % 1.14/1.39 (define @t65 () (or @t64 @t60 @t59)) % 1.14/1.39 (define @t66 () (@list @t27 @t25 @t58)) % 1.14/1.39 (define @t67 () (forall @t66 @t65)) % 1.14/1.39 (define @t68 () (not @t67)) % 1.14/1.39 (define @t69 () (or @t68 @t57 @t46)) % 1.14/1.39 (define @t70 () (@list @t5 @t42)) % 1.14/1.39 (define @t71 () (forall @t70 @t69)) % 1.14/1.39 (define @t72 () (@quantifiers_skolemize @t71 0)) % 1.14/1.39 (define @t73 () (not (forall @t17 (or @t49 (_ @t72 @t2 @t14))))) % 1.14/1.39 (define @t74 () (not (forall @t12 (or @t73 @t41)))) % 1.14/1.39 (define @t75 () (lambda @t9 @t74)) % 1.14/1.39 (define @t76 () (@purify @t75)) % 1.14/1.39 (define @t77 () (_ @t76 @t4)) % 1.14/1.40 (define @t78 () (_ @t75 @t4)) % 1.14/1.40 (define @t79 () (= @t77 @t78)) % 1.14/1.40 (define @t80 () (forall @t9 @t79)) % 1.14/1.40 (define @t81 () (_ @t72 @t76 @t4)) % 1.14/1.40 (define @t82 () (not @t77)) % 1.14/1.40 (define @t83 () (forall @t9 (or @t82 @t81))) % 1.14/1.40 (define @t84 () (@quantifiers_skolemize @t83 0)) % 1.14/1.40 (define @t85 () (forall @t12 (or @t73 (not (_ @t2 @t84))))) % 1.14/1.40 (define @t86 () (@quantifiers_skolemize @t85 0)) % 1.14/1.40 (define @t87 () (forall @t9 (or (not (_ @t86 @t4)) @t77))) % 1.14/1.40 (define @t88 () (@quantifiers_skolemize @t87 0)) % 1.14/1.40 (define @t89 () (forall @t12 (or @t73 (not (_ @t2 @t88))))) % 1.14/1.40 (define @t90 () (not @t89)) % 1.14/1.40 (define @t91 () (_ @t76 @t88)) % 1.14/1.40 (define @t92 () (forall @t9 (= @t74 @t77))) % 1.14/1.40 (define @t93 () (= @t90 @t91)) % 1.14/1.40 (define @t94 () (= @t91 @t90)) % 1.14/1.40 (define @t95 () (@list false)) % 1.14/1.40 (define @t96 () (@list @t92)) % 1.14/1.40 (define @t97 () (or @t57 @t46)) % 1.14/1.40 (define @t98 () (or @t68 @t97)) % 1.14/1.40 (define @t99 () (forall @t70 @t98)) % 1.14/1.40 (define @t100 () (@list @t42)) % 1.14/1.40 (define @t101 () (forall @t100 @t98)) % 1.14/1.40 (define @t102 () (forall @t100 @t97)) % 1.14/1.40 (define @t103 () (or @t68 @t102)) % 1.14/1.40 (define @t104 () (_ @t2 @t1)) % 1.14/1.40 (define @t105 () (not (forall @t12 (or @t45 (not @t104))))) % 1.14/1.40 (define @t106 () (_ @t5 @t56 @t1)) % 1.14/1.40 (define @t107 () (forall @t23 (or (not @t106) @t105))) % 1.14/1.40 (define @t108 () (not @t8)) % 1.14/1.40 (define @t109 () (not @t16)) % 1.14/1.40 (define @t110 () (or @t109 @t15)) % 1.14/1.40 (define @t111 () (forall @t17 @t110)) % 1.14/1.40 (define @t112 () (lambda @t9 (not (forall @t12 (or (not @t111) @t108))))) % 1.14/1.40 (define @t113 () (_ (_ @t5 @t56) @t1)) % 1.14/1.40 (define @t114 () (not @t113)) % 1.14/1.40 (define @t115 () (or @t114 @t105)) % 1.14/1.40 (define @t116 () (not @t3)) % 1.14/1.40 (define @t117 () (or @t45 @t116)) % 1.14/1.40 (define @t118 () (and @t44 @t3)) % 1.14/1.40 (define @t119 () (forall @t12 (not @t118))) % 1.14/1.40 (define @t120 () (not @t119)) % 1.14/1.40 (define @t121 () (or @t108 @t7)) % 1.14/1.40 (define @t122 () (or @t52 @t108)) % 1.14/1.40 (define @t123 () (and @t51 @t8)) % 1.14/1.40 (define @t124 () (forall @t12 (not @t123))) % 1.14/1.40 (define @t125 () (not @t124)) % 1.14/1.40 (define @t126 () (or @t60 @t59)) % 1.14/1.40 (define @t127 () (or @t64 @t126)) % 1.14/1.40 (define @t128 () (forall @t66 @t127)) % 1.14/1.40 (define @t129 () (@list @t58)) % 1.14/1.40 (define @t130 () (forall @t129 @t127)) % 1.14/1.40 (define @t131 () (forall @t129 @t126)) % 1.14/1.40 (define @t132 () (or @t64 @t131)) % 1.14/1.40 (define @t133 () (_ @t5 @t25 @t4)) % 1.14/1.40 (define @t134 () (_ @t5 @t27 @t4)) % 1.14/1.40 (define @t135 () (forall @t9 (or (not @t134) @t133))) % 1.14/1.40 (define @t136 () (not @t28)) % 1.14/1.40 (define @t137 () (or @t136 @t26)) % 1.14/1.40 (define @t138 () (not @t31)) % 1.14/1.40 (define @t139 () (or @t138 @t30)) % 1.14/1.40 (define @t140 () (@quantifiers_skolemize @t71 1)) % 1.14/1.40 (define @t141 () (forall @t12 (or (not (forall @t9 (or @t41 (_ @t72 @t2 @t4)))) (not (_ @t2 @t140))))) % 1.14/1.40 (define @t142 () (not @t141)) % 1.14/1.40 (define @t143 () (_ @t72 @t76 @t140)) % 1.14/1.40 (define @t144 () (not @t143)) % 1.14/1.40 (define @t145 () (forall @t66 (or @t64 (not (_ @t72 @t27 @t58)) (_ @t72 @t25 @t58)))) % 1.14/1.40 (define @t146 () (not @t145)) % 1.14/1.40 (define @t147 () (or @t146 @t144 @t142)) % 1.14/1.40 (define @t148 () (not @t147)) % 1.14/1.40 (define @t149 () (not @t71)) % 1.14/1.40 (define @t150 () (_ @t72 @t75 @t140)) % 1.14/1.40 (define @t151 () (not @t150)) % 1.14/1.40 (define @t152 () (or @t146 @t151 @t142)) % 1.14/1.40 (define @t153 () (not @t152)) % 1.14/1.40 (define @t154 () (@list true)) % 1.14/1.40 (define @t155 () (@list @t147)) % 1.14/1.40 (define @t156 () (not @t85)) % 1.14/1.40 (define @t157 () (_ @t76 @t84)) % 1.14/1.40 (define @t158 () (= @t156 @t157)) % 1.14/1.40 (define @t159 () (@list @t84)) % 1.14/1.40 (define @t160 () (= @t157 @t156)) % 1.14/1.40 (define @t161 () (_ @t72 @t76)) % 1.14/1.40 (define @t162 () (_ @t72 @t161 @t4)) % 1.14/1.40 (define @t163 () (forall @t9 (or (not @t81) @t162))) % 1.14/1.40 (define @t164 () (@quantifiers_skolemize @t163 0)) % 1.14/1.40 (define @t165 () (_ @t72 @t161 @t164)) % 1.14/1.40 (define @t166 () (_ @t72 @t76 @t164)) % 1.14/1.40 (define @t167 () (not @t166)) % 1.14/1.40 (define @t168 () (_ @t161 @t4)) % 1.14/1.40 (define @t169 () (or @t82 @t168)) % 1.14/1.40 (define @t170 () (_ @t161 @t4)) % 1.14/1.40 (define @t171 () (or @t82 @t170)) % 1.14/1.40 (define @t172 () (forall @t9 @t171)) % 1.14/1.40 (define @t173 () (not @t172)) % 1.14/1.40 (define @t174 () (or @t173 @t167 @t165)) % 1.14/1.40 (define @t175 () (not @t83)) % 1.14/1.40 (define @t176 () (or @t175 @t167 @t165)) % 1.14/1.40 (define @t177 () (_ @t161 @t140)) % 1.14/1.40 (define @t178 () (not @t177)) % 1.14/1.40 (define @t179 () (not @t163)) % 1.14/1.40 (define @t180 () (or @t179 @t178)) % 1.14/1.40 (define @t181 () (_ @t161 @t140)) % 1.14/1.40 (define @t182 () (not @t181)) % 1.14/1.40 (define @t183 () (not @t168)) % 1.14/1.40 (define @t184 () (or @t183 @t162)) % 1.14/1.40 (define @t185 () (not @t170)) % 1.14/1.40 (define @t186 () (or @t185 @t162)) % 1.14/1.40 (define @t187 () (forall @t9 @t186)) % 1.14/1.40 (define @t188 () (not @t187)) % 1.14/1.40 (define @t189 () (or @t188 @t182)) % 1.14/1.40 (define @t190 () (or @t179 @t144)) % 1.14/1.40 (define @t191 () (@list false false)) % 1.14/1.40 (define @t192 () (or @t167 @t165)) % 1.14/1.40 (define @t193 () (@list @t192)) % 1.14/1.40 (define @t194 () (_ @t72 @t76 @t84)) % 1.14/1.40 (define @t195 () (not @t157)) % 1.14/1.40 (define @t196 () (or @t195 @t194)) % 1.14/1.40 (define @t197 () (@list @t196)) % 1.14/1.40 (define @t198 () (forall @t17 (or (not (_ @t86 @t14)) (_ @t72 @t86 @t14)))) % 1.14/1.40 (define @t199 () (_ @t86 @t84)) % 1.14/1.40 (define @t200 () (not @t199)) % 1.14/1.40 (define @t201 () (not @t198)) % 1.14/1.40 (define @t202 () (or @t201 @t200)) % 1.14/1.40 (define @t203 () (@list @t202)) % 1.14/1.40 (define @t204 () (_ @t72 @t86 @t84)) % 1.14/1.40 (define @t205 () (or @t200 @t204)) % 1.14/1.40 (define @t206 () (not @t204)) % 1.14/1.40 (define @t207 () (not @t87)) % 1.14/1.40 (define @t208 () (or @t207 @t206 @t194)) % 1.14/1.40 (define @t209 () (_ @t86 @t88)) % 1.14/1.40 (define @t210 () (not @t209)) % 1.14/1.40 (define @t211 () (or @t210 @t91)) % 1.14/1.40 (define @t212 () (@list @t211)) % 1.14/1.40 (define @t213 () (not @t94)) % 1.14/1.40 (define @t214 () (@list true false)) % 1.14/1.40 (define @t215 () (or @t201 @t210)) % 1.14/1.40 (define @t216 () (not @t215)) % 1.14/1.40 (assume @p1 @t39) % 1.14/1.40 (assume @p2 true) % 1.14/1.40 (step @p3 :rule eq-symm :args (@t77 @t74)) % 1.14/1.40 (step @p4 :rule beta-reduce :args ((= @t78 @t74))) % 1.14/1.40 (step @p5 :rule refl :args (@t77)) % 1.14/1.40 (step @p6 :rule cong :premises (@p5 @p4) :args (@t79)) % 1.14/1.40 (step @p7 :rule trans :premises (@p6 @p3)) % 1.14/1.40 (step @p8 :rule cong :premises (@p7) :args (@t80)) % 1.14/1.40 (step @p9 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 1.14/1.40 (step @p10 :rule eq-refl :args (@t78)) % 1.14/1.40 (step @p11 :rule cong :premises (@p10) :args ((forall @t9 (= @t78 @t78)))) % 1.14/1.40 (step @p12 :rule trans :premises (@p11 @p9)) % 1.14/1.40 (step @p13 :rule refl :args (@t78)) % 1.14/1.40 (step @p14 :rule refl :args (@t4)) % 1.14/1.40 (step @p15 :rule skolem_intro :args (@t76)) % 1.14/1.40 (step @p16 :rule ho_cong :premises (@p15 @p14)) % 1.14/1.40 (step @p17 :rule cong :premises (@p16 @p13) :args (@t79)) % 1.14/1.40 (step @p18 :rule cong :premises (@p17) :args (@t80)) % 1.14/1.40 (step @p19 :rule trans :premises (@p18 @p12)) % 1.14/1.40 (step @p20 :rule true_elim :premises (@p19)) % 1.14/1.40 (step @p21 :rule eq_resolve :premises (@p20 @p8)) % 1.14/1.40 (step @p22 :rule eq-symm :args (@t90 @t91)) % 1.14/1.40 (step @p23 :rule refl :args (@t92)) % 1.14/1.40 (step @p24 :rule cong :premises (@p23 @p22) :args ((=> @t92 @t93))) % 1.14/1.40 (assume-push @p390 @t92) % 1.14/1.40 (step @p26 :rule instantiate :premises (@p21) :args ((@list @t88))) % 1.14/1.40 (step-pop @p391 :rule scope :premises (@p26)) % 1.14/1.40 (step @p27 :rule process_scope :premises (@p391) :args (@t93)) % 1.14/1.40 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 1.14/1.40 (step @p30 :rule implies_elim :premises (@p29)) % 1.14/1.40 (step @p31 :rule chain_m_resolution :premises (@p30 @p21) :args (@t94 @t95 @t96)) % 1.14/1.40 (step @p32 :rule aci_norm :args ((= @t98 @t69))) % 1.14/1.40 (step @p33 :rule cong :premises (@p32) :args (@t99)) % 1.14/1.40 (step @p34 :rule quant-merge-prenex :args ((= (forall @t37 @t101) @t99))) % 1.14/1.40 (step @p35 :rule alpha_equiv :args (@t102 (@list @t42) (@list @t1))) % 1.14/1.40 (step @p36 :rule refl :args (@t68)) % 1.14/1.40 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t103)) % 1.14/1.40 (step @p38 :rule quant-miniscope-or :args ((= @t101 @t103))) % 1.14/1.40 (step @p39 :rule trans :premises (@p38 @p37)) % 1.14/1.40 (step @p40 :rule symm :premises (@p39)) % 1.14/1.40 (step @p41 :rule cong :premises (@p40) :args ((forall @t37 (or @t68 @t107)))) % 1.14/1.40 (step @p42 :rule trans :premises (@p41 @p34)) % 1.14/1.40 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reordering :premises (@p313) :args ((or @t144 @t179 (not @t190)))) % 1.14/1.40 (step @p315 :rule chain_m_resolution :premises (@p314 @p312 @p306) :args (@t179 @t191 (@list @t143 @t190))) % 1.14/1.40 (step @p316 :rule skolemize :premises (@p315)) % 1.14/1.40 (step @p317 :rule cnf_or_neg :args (@t192 1)) % 1.14/1.40 (step @p318 :rule chain_m_resolution :premises (@p317 @p316) :args ((not @t165) @t154 @t193)) % 1.14/1.40 (step @p319 :rule bool-double-not-elim :args (@t166)) % 1.14/1.40 (step @p320 :rule refl :args (@t192)) % 1.14/1.40 (step @p321 :rule nary_cong :premises (@p320 @p319) :args ((or @t192 (not @t167)))) % 1.14/1.40 (step @p322 :rule cnf_or_neg :args (@t192 0)) % 1.14/1.40 (step @p323 :rule eq_resolve :premises (@p322 @p321)) % 1.14/1.40 (step @p324 :rule reordering :premises (@p323) :args ((or @t166 @t192))) % 1.14/1.40 (step @p325 :rule chain_m_resolution :premises (@p324 @p316) :args (@t166 @t154 @t193)) % 1.14/1.40 (step @p326 :rule cnf_or_pos :args (@t176)) % 1.14/1.40 (step @p327 :rule reordering :premises (@p326) :args ((or @t167 @t165 @t175 (not @t176)))) % 1.14/1.40 (step @p328 :rule chain_m_resolution :premises (@p327 @p325 @p318 @p268) :args (@t175 (@list false true false) (@list @t166 @t165 @t176))) % 1.14/1.40 (step @p329 :rule skolemize :premises (@p328)) % 1.14/1.40 (step @p330 :rule bool-double-not-elim :args (@t157)) % 1.14/1.40 (step @p331 :rule refl :args (@t196)) % 1.14/1.40 (step @p332 :rule nary_cong :premises (@p331 @p330) :args ((or @t196 (not @t195)))) % 1.14/1.40 (step @p333 :rule cnf_or_neg :args (@t196 0)) % 1.14/1.40 (step @p334 :rule eq_resolve :premises (@p333 @p332)) % 1.14/1.40 (step @p335 :rule reordering :premises (@p334) :args ((or @t157 @t196))) % 1.14/1.40 (step @p336 :rule chain_m_resolution :premises (@p335 @p329) :args (@t157 @t154 @t197)) % 1.14/1.40 (step @p337 :rule cnf_equiv_pos1 :args (@t160)) % 1.14/1.40 (step @p338 :rule reordering :premises (@p337) :args ((or @t195 @t156 (not @t160)))) % 1.14/1.40 (step @p339 :rule chain_m_resolution :premises (@p338 @p336 @p242) :args (@t156 @t191 (@list @t157 @t160))) % 1.14/1.40 (step @p340 :rule skolemize :premises (@p339)) % 1.14/1.40 (step @p341 :rule bool-double-not-elim :args (@t198)) % 1.14/1.40 (step @p342 :rule refl :args (@t202)) % 1.14/1.40 (step @p343 :rule nary_cong :premises (@p342 @p341) :args ((or @t202 (not @t201)))) % 1.14/1.40 (step @p344 :rule cnf_or_neg :args (@t202 0)) % 1.14/1.40 (step @p345 :rule eq_resolve :premises (@p344 @p343)) % 1.14/1.40 (step @p346 :rule reordering :premises (@p345) :args ((or @t198 @t202))) % 1.14/1.40 (step @p347 :rule chain_m_resolution :premises (@p346 @p340) :args (@t198 @t154 @t203)) % 1.14/1.40 (step @p348 :rule instantiate :premises (@p347) :args (@t159)) % 1.14/1.40 (step @p349 :rule bool-double-not-elim :args (@t199)) % 1.14/1.40 (step @p350 :rule nary_cong :premises (@p342 @p349) :args ((or @t202 (not @t200)))) % 1.14/1.40 (step @p351 :rule cnf_or_neg :args (@t202 1)) % 1.14/1.40 (step @p352 :rule eq_resolve :premises (@p351 @p350)) % 1.14/1.40 (step @p353 :rule reordering :premises (@p352) :args ((or @t199 @t202))) % 1.14/1.40 (step @p354 :rule chain_m_resolution :premises (@p353 @p340) :args (@t199 @t154 @t203)) % 1.14/1.40 (step @p355 :rule cnf_or_pos :args (@t205)) % 1.14/1.40 (step @p356 :rule reordering :premises (@p355) :args ((or @t200 @t204 (not @t205)))) % 1.14/1.40 (step @p357 :rule chain_m_resolution :premises (@p356 @p354 @p348) :args (@t204 @t191 (@list @t199 @t205))) % 1.14/1.40 (step @p358 :rule cnf_or_neg :args (@t196 1)) % 1.14/1.40 (step @p359 :rule chain_m_resolution :premises (@p358 @p329) :args ((not @t194) @t154 @t197)) % 1.14/1.40 (step @p360 :rule cnf_or_pos :args (@t208)) % 1.14/1.40 (step @p361 :rule reordering :premises (@p360) :args ((or @t194 @t206 @t207 (not @t208)))) % 1.14/1.40 (step @p362 :rule chain_m_resolution :premises (@p361 @p359 @p357 @p233) :args (@t207 (@list true false false) (@list @t194 @t204 @t208))) % 1.14/1.40 (step @p363 :rule skolemize :premises (@p362)) % 1.14/1.40 (step @p364 :rule cnf_or_neg :args (@t211 1)) % 1.14/1.40 (step @p365 :rule chain_m_resolution :premises (@p364 @p363) :args ((not @t91) @t154 @t212)) % 1.14/1.40 (step @p366 :rule bool-double-not-elim :args (@t89)) % 1.14/1.40 (step @p367 :rule refl :args (@t91)) % 1.14/1.40 (step @p368 :rule refl :args (@t213)) % 0.35/1.40 (step @p369 :rule nary_cong :premises (@p368 @p367 @p366) :args ((or @t213 @t91 (not @t90)))) % 0.35/1.40 (step @p370 :rule cnf_equiv_pos2 :args (@t94)) % 0.35/1.40 (step @p371 :rule eq_resolve :premises (@p370 @p369)) % 0.35/1.40 (step @p372 :rule reordering :premises (@p371) :args ((or @t91 @t89 @t213))) % 0.35/1.40 (step @p373 :rule chain_m_resolution :premises (@p372 @p365 @p31) :args (@t89 @t214 (@list @t91 @t94))) % 0.35/1.40 (step @p374 :rule bool-double-not-elim :args (@t209)) % 0.35/1.40 (step @p375 :rule refl :args (@t211)) % 0.35/1.40 (step @p376 :rule nary_cong :premises (@p375 @p374) :args ((or @t211 (not @t210)))) % 0.35/1.40 (step @p377 :rule cnf_or_neg :args (@t211 0)) % 0.35/1.40 (step @p378 :rule eq_resolve :premises (@p377 @p376)) % 0.35/1.40 (step @p379 :rule reordering :premises (@p378) :args ((or @t209 @t211))) % 0.35/1.40 (step @p380 :rule chain_m_resolution :premises (@p379 @p363) :args (@t209 @t154 @t212)) % 0.35/1.40 (step @p381 :rule cnf_or_pos :args (@t215)) % 0.35/1.40 (step @p382 :rule reordering :premises (@p381) :args ((or @t201 @t210 @t216))) % 0.35/1.40 (step @p383 :rule chain_m_resolution :premises (@p382 @p347 @p380) :args (@t216 @t191 (@list @t198 @t209))) % 0.35/1.40 (assume-push @p400 @t89) % 0.35/1.40 (step @p385 :rule instantiate :premises (@p373) :args ((@list @t86))) % 0.35/1.40 (step-pop @p401 :rule scope :premises (@p385)) % 0.35/1.40 (step @p386 :rule process_scope :premises (@p401) :args (@t215)) % 0.35/1.40 (step @p388 :rule implies_elim :premises (@p386)) % 0.35/1.40 (step @p389 false :rule chain_m_resolution :premises (@p388 @p383 @p373) :args (false @t214 (@list @t215 @t89))) % 0.35/1.40 ) % 0.35/1.40 % SZS output end Proof % 0.35/1.40 % cvc5 exiting %------------------------------------------------------------------------------