%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU868^5 : 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 : n001.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 08:53:27 AM UTC 2026 % Result : Theorem 223.32s 223.64s % Output : Proof 223.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU868^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n001.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:57:05 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 223.32/223.64 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 223.32/223.64 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 223.32/223.64 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 223.32/223.64 --- Run --ho-elim --full-saturate-quant at 18s... % 223.32/223.64 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 223.32/223.64 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 223.32/223.64 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 223.32/223.64 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 6s... % 223.32/223.64 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 21s... % 223.32/223.64 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 18s... % 223.32/223.64 % SZS status Theorem % 223.32/223.64 % SZS output start Proof % 223.32/223.64 ( % 223.32/223.64 (declare-sort tptp.a 0) % 223.32/223.64 (declare-const tptp.cC (-> tptp.a Bool)) % 223.32/223.64 (define @t1 () (@var "P" (-> (-> tptp.a Bool) Bool))) % 223.32/223.64 (define @t2 () (_ @t1 tptp.cC)) % 223.32/223.64 (define @t3 () (@var "Z" (-> tptp.a Bool))) % 223.32/223.64 (define @t4 () (_ @t1 @t3)) % 223.32/223.64 (define @t5 () (@var "Xx" tptp.a)) % 223.32/223.64 (define @t6 () (@var "Xx_16" tptp.a)) % 223.32/223.64 (define @t7 () (@var "Y" (-> tptp.a Bool))) % 223.32/223.64 (define @t8 () (_ @t7 @t6)) % 223.32/223.64 (define @t9 () (or @t8 (= @t6 @t5))) % 223.32/223.64 (define @t10 () (_ @t3 @t6)) % 223.32/223.64 (define @t11 () (= @t10 @t9)) % 223.32/223.64 (define @t12 () (@list @t6)) % 223.32/223.64 (define @t13 () (forall @t12 @t11)) % 223.32/223.64 (define @t14 () (_ @t1 @t7)) % 223.32/223.64 (define @t15 () (and @t14 @t13)) % 223.32/223.64 (define @t16 () (=> @t15 @t4)) % 223.32/223.64 (define @t17 () (@list @t7 @t5 @t3)) % 223.32/223.64 (define @t18 () (forall @t17 @t16)) % 223.32/223.64 (define @t19 () (@var "E" (-> tptp.a Bool))) % 223.32/223.64 (define @t20 () (_ @t1 @t19)) % 223.32/223.64 (define @t21 () (@var "Xt" tptp.a)) % 223.32/223.64 (define @t22 () (_ @t19 @t21)) % 223.32/223.64 (define @t23 () (@list @t21)) % 223.32/223.64 (define @t24 () (exists @t23 @t22)) % 223.32/223.64 (define @t25 () (not @t24)) % 223.32/223.64 (define @t26 () (=> @t25 @t20)) % 223.32/223.64 (define @t27 () (@list @t19)) % 223.32/223.64 (define @t28 () (forall @t27 @t26)) % 223.32/223.64 (define @t29 () (and @t28 @t18)) % 223.32/223.64 (define @t30 () (=> @t29 @t2)) % 223.32/223.64 (define @t31 () (@list @t1)) % 223.32/223.64 (define @t32 () (forall @t31 @t30)) % 223.32/223.64 (define @t33 () (@var "Xw" (-> (-> tptp.a Bool) Bool))) % 223.32/223.64 (define @t34 () (_ @t33 tptp.cC)) % 223.32/223.64 (define @t35 () (@var "Xr" (-> tptp.a Bool))) % 223.32/223.64 (define @t36 () (_ @t35 @t21)) % 223.32/223.64 (define @t37 () (or @t36 (= @t21 @t5))) % 223.32/223.64 (define @t38 () (lambda @t23 @t37)) % 223.32/223.64 (define @t39 () (_ @t33 @t35)) % 223.32/223.64 (define @t40 () (=> @t39 (_ @t33 @t38))) % 223.32/223.64 (define @t41 () (@list @t35 @t5)) % 223.32/223.64 (define @t42 () (forall @t41 @t40)) % 223.32/223.64 (define @t43 () (lambda (@list @t5) false)) % 223.32/223.64 (define @t44 () (and (_ @t33 @t43) @t42)) % 223.32/223.64 (define @t45 () (=> @t44 @t34)) % 223.32/223.64 (define @t46 () (@list @t33)) % 223.32/223.64 (define @t47 () (forall @t46 @t45)) % 223.32/223.64 (define @t48 () (=> @t47 @t32)) % 223.32/223.64 (define @t49 () (not @t48)) % 223.32/223.64 (define @t50 () (= @t5 @t21)) % 223.32/223.64 (define @t51 () (_ @t35 @t21)) % 223.32/223.64 (define @t52 () (or @t51 @t50)) % 223.32/223.64 (define @t53 () (lambda @t23 @t52)) % 223.32/223.64 (define @t54 () (_ @t1 tptp.cC)) % 223.32/223.64 (define @t55 () (_ @t1 @t3)) % 223.32/223.64 (define @t56 () (= @t5 @t6)) % 223.32/223.64 (define @t57 () (_ @t7 @t6)) % 223.32/223.64 (define @t58 () (_ @t3 @t6)) % 223.32/223.64 (define @t59 () (forall @t12 (= @t58 (or @t57 @t56)))) % 223.32/223.64 (define @t60 () (not @t59)) % 223.32/223.64 (define @t61 () (_ @t1 @t7)) % 223.32/223.64 (define @t62 () (forall @t17 (or (not @t61) @t60 @t55))) % 223.32/223.64 (define @t63 () (not @t62)) % 223.32/223.64 (define @t64 () (_ @t1 @t19)) % 223.32/223.64 (define @t65 () (_ @t19 @t21)) % 223.32/223.64 (define @t66 () (forall @t23 (not @t65))) % 223.32/223.64 (define @t67 () (not @t66)) % 223.32/223.64 (define @t68 () (forall @t27 (or @t67 @t64))) % 223.32/223.64 (define @t69 () (not @t68)) % 223.32/223.64 (define @t70 () (@quantifiers_skolemize (forall @t31 (or @t69 @t63 @t54)) 0)) % 223.32/223.64 (define @t71 () (forall @t41 (or (not (_ @t70 @t35)) (_ @t70 @t53)))) % 223.32/223.64 (define @t72 () (@quantifiers_skolemize @t71 1)) % 223.32/223.64 (define @t73 () (@quantifiers_skolemize @t71 0)) % 223.32/223.64 (define @t74 () (_ @t73 @t21)) % 223.32/223.64 (define @t75 () (or @t74 (= @t21 @t72))) % 223.32/223.64 (define @t76 () (lambda @t23 @t75)) % 223.32/223.64 (define @t77 () (@purify @t76)) % 223.32/223.64 (define @t78 () (_ @t77 @t21)) % 223.32/223.64 (define @t79 () (_ @t76 @t21)) % 223.32/223.64 (define @t80 () (= @t78 @t79)) % 223.32/223.64 (define @t81 () (forall @t23 @t80)) % 223.32/223.64 (define @t82 () (@const 0 tptp.a)) % 223.32/223.64 (define @t83 () (_ @t73 @t82)) % 223.32/223.64 (define @t84 () (or @t83 (= @t82 @t72))) % 223.32/223.64 (define @t85 () (_ @t77 @t82)) % 223.32/223.64 (define @t86 () (forall @t23 (= @t75 @t78))) % 223.32/223.64 (define @t87 () (= @t84 @t85)) % 223.32/223.64 (define @t88 () (= @t72 @t82)) % 223.32/223.64 (define @t89 () (or @t83 @t88)) % 223.32/223.64 (define @t90 () (= @t85 @t89)) % 223.32/223.64 (define @t91 () (@list false)) % 223.32/223.64 (define @t92 () (@list @t86)) % 223.32/223.64 (define @t93 () (or @t69 @t63 @t2)) % 223.32/223.64 (define @t94 () (and @t68 @t62)) % 223.32/223.64 (define @t95 () (not @t14)) % 223.32/223.64 (define @t96 () (or @t95 @t60 @t4)) % 223.32/223.64 (define @t97 () (and @t14 @t59)) % 223.32/223.64 (define @t98 () (or @t8 @t56)) % 223.32/223.64 (define @t99 () (= @t10 @t98)) % 223.32/223.64 (define @t100 () (or @t67 @t20)) % 223.32/223.64 (define @t101 () (not @t22)) % 223.32/223.64 (define @t102 () (forall @t23 @t101)) % 223.32/223.64 (define @t103 () (not @t102)) % 223.32/223.64 (define @t104 () (_ @t33 tptp.cC)) % 223.32/223.64 (define @t105 () (_ @t33 @t53)) % 223.32/223.64 (define @t106 () (_ @t33 @t35)) % 223.32/223.64 (define @t107 () (forall @t41 (or (not @t106) @t105))) % 223.32/223.64 (define @t108 () (not @t107)) % 223.32/223.64 (define @t109 () (@var "BOUND_VARIABLE_7796" tptp.a)) % 223.32/223.64 (define @t110 () (lambda (@list @t109) false)) % 223.32/223.64 (define @t111 () (_ @t33 @t110)) % 223.32/223.64 (define @t112 () (_ @t33 @t110)) % 223.32/223.64 (define @t113 () (not @t112)) % 223.32/223.64 (define @t114 () (or @t113 @t108 @t34)) % 223.32/223.64 (define @t115 () (and @t112 @t107)) % 223.32/223.64 (define @t116 () (or @t36 @t50)) % 223.32/223.64 (define @t117 () (lambda @t23 @t116)) % 223.32/223.64 (define @t118 () (_ @t33 @t117)) % 223.32/223.64 (define @t119 () (not @t39)) % 223.32/223.64 (define @t120 () (or @t119 @t118)) % 223.32/223.64 (define @t121 () (_ @t70 tptp.cC)) % 223.32/223.64 (define @t122 () (not @t71)) % 223.32/223.64 (define @t123 () (@purify @t110)) % 223.32/223.64 (define @t124 () (_ @t70 @t110)) % 223.32/223.64 (define @t125 () (not @t124)) % 223.32/223.64 (define @t126 () (or @t125 @t122 @t121)) % 223.32/223.64 (define @t127 () (forall @t46 (or (not @t111) @t108 @t104))) % 223.32/223.64 (define @t128 () (_ @t70 @t123)) % 223.32/223.64 (define @t129 () (not @t128)) % 223.32/223.64 (define @t130 () (or @t129 @t122 @t121)) % 223.32/223.64 (define @t131 () (forall @t27 (or @t67 (_ @t70 @t19)))) % 223.32/223.64 (define @t132 () (forall @t17 (or (not (_ @t70 @t7)) @t60 (_ @t70 @t3)))) % 223.32/223.64 (define @t133 () (not @t132)) % 223.32/223.64 (define @t134 () (not @t131)) % 223.32/223.64 (define @t135 () (or @t134 @t133 @t121)) % 223.32/223.64 (define @t136 () (@list true)) % 223.32/223.64 (define @t137 () (@list @t135)) % 223.32/223.64 (define @t138 () (forall @t23 (not (_ @t123 @t21)))) % 223.32/223.64 (define @t139 () (not @t138)) % 223.32/223.64 (define @t140 () (@quantifiers_skolemize @t138 0)) % 223.32/223.64 (define @t141 () (_ @t110 @t140)) % 223.32/223.64 (define @t142 () (_ @t123 @t140)) % 223.32/223.64 (define @t143 () (not @t142)) % 223.32/223.64 (define @t144 () (not @t143)) % 223.32/223.64 (define @t145 () (or @t139 @t128)) % 223.32/223.64 (define @t146 () (@list false false)) % 223.32/223.64 (define @t147 () (_ @t70 @t77)) % 223.32/223.64 (define @t148 () (_ @t70 @t73)) % 223.32/223.64 (define @t149 () (not @t148)) % 223.32/223.64 (define @t150 () (or @t149 @t147)) % 223.32/223.64 (define @t151 () (not @t150)) % 223.32/223.64 (define @t152 () (_ @t70 @t76)) % 223.32/223.64 (define @t153 () (or @t149 @t152)) % 223.32/223.64 (define @t154 () (not @t153)) % 223.32/223.64 (define @t155 () (or @t74 (= @t72 @t21))) % 223.32/223.64 (define @t156 () (lambda @t23 @t155)) % 223.32/223.64 (define @t157 () (_ @t70 @t156)) % 223.32/223.64 (define @t158 () (or @t149 @t157)) % 223.32/223.64 (define @t159 () (not @t158)) % 223.32/223.64 (define @t160 () (not @t147)) % 223.32/223.64 (define @t161 () (@list @t150)) % 223.32/223.64 (define @t162 () (= @t73 @t77)) % 223.32/223.64 (define @t163 () (not @t162)) % 223.32/223.64 (define @t164 () (and @t162 @t160 @t148)) % 223.32/223.64 (define @t165 () (= @t83 @t85)) % 223.32/223.64 (define @t166 () (not @t165)) % 223.32/223.64 (define @t167 () (not @t83)) % 223.32/223.64 (define @t168 () (not @t90)) % 223.32/223.64 (define @t169 () (not @t89)) % 223.32/223.64 (define @t170 () (@list true true)) % 223.32/223.64 (define @t171 () (@list true false)) % 223.32/223.64 (define @t172 () (_ @t73 @t6)) % 223.32/223.64 (define @t173 () (_ @t77 @t6)) % 223.32/223.64 (define @t174 () (forall @t12 (= @t173 (or @t172 (= @t6 @t82))))) % 223.32/223.64 (define @t175 () (@quantifiers_skolemize @t174 0)) % 223.32/223.64 (define @t176 () (_ @t73 @t175)) % 223.32/223.64 (define @t177 () (or @t176 (= @t175 @t72))) % 223.32/223.64 (define @t178 () (_ @t77 @t175)) % 223.32/223.64 (define @t179 () (= @t177 @t178)) % 223.32/223.64 (define @t180 () (= @t72 @t175)) % 223.32/223.64 (define @t181 () (or @t176 @t180)) % 223.32/223.64 (define @t182 () (= @t178 @t181)) % 223.32/223.64 (define @t183 () (or @t172 (= @t82 @t6))) % 223.32/223.64 (define @t184 () (= @t173 @t183)) % 223.32/223.64 (define @t185 () (forall @t12 @t184)) % 223.32/223.64 (define @t186 () (not @t185)) % 223.32/223.64 (define @t187 () (or @t149 @t186 @t147)) % 223.32/223.64 (define @t188 () (not @t174)) % 223.32/223.64 (define @t189 () (or @t149 @t188 @t147)) % 223.32/223.64 (define @t190 () (@list false true false)) % 223.32/223.64 (define @t191 () (= @t82 @t175)) % 223.32/223.64 (define @t192 () (or @t176 @t191)) % 223.32/223.64 (define @t193 () (= @t178 @t192)) % 223.32/223.64 (define @t194 () (not @t193)) % 223.32/223.64 (define @t195 () (or @t176 (= @t175 @t82))) % 223.32/223.64 (define @t196 () (= @t178 @t195)) % 223.32/223.64 (define @t197 () (not @t196)) % 223.32/223.64 (define @t198 () (not @t182)) % 223.32/223.64 (define @t199 () (not @t178)) % 223.32/223.64 (define @t200 () (not @t181)) % 223.32/223.64 (define @t201 () (not @t180)) % 223.32/223.64 (define @t202 () (not @t88)) % 223.32/223.64 (define @t203 () (not @t191)) % 223.32/223.64 (define @t204 () (and @t88 @t203)) % 223.32/223.64 (define @t205 () (@list @t181)) % 223.32/223.64 (define @t206 () (not @t176)) % 223.32/223.64 (define @t207 () (and @t88 @t201)) % 223.32/223.64 (assume @p1 @t49) % 223.32/223.64 (assume @p2 true) % 223.32/223.64 (step @p3 :rule eq-symm :args (@t78 @t75)) % 223.32/223.64 (step @p4 :rule beta-reduce :args ((= @t79 @t75))) % 223.32/223.64 (step @p5 :rule refl :args (@t78)) % 223.32/223.64 (step @p6 :rule cong :premises (@p5 @p4) :args (@t80)) % 223.32/223.64 (step @p7 :rule trans :premises (@p6 @p3)) % 223.32/223.64 (step @p8 :rule cong :premises (@p7) :args (@t81)) % 223.32/223.64 (step @p9 :rule quant-unused-vars :args ((= (forall @t23 true) true))) % 223.32/223.64 (step @p10 :rule eq-refl :args (@t79)) % 223.32/223.64 (step @p11 :rule cong :premises (@p10) :args ((forall @t23 (= @t79 @t79)))) % 223.32/223.64 (step @p12 :rule trans :premises (@p11 @p9)) % 223.32/223.64 (step @p13 :rule refl :args (@t79)) % 223.32/223.64 (step @p14 :rule refl :args (@t21)) % 223.32/223.64 (step @p15 :rule skolem_intro :args (@t77)) % 223.32/223.64 (step @p16 :rule ho_cong :premises (@p15 @p14)) % 223.32/223.64 (step @p17 :rule cong :premises (@p16 @p13) :args (@t80)) % 223.32/223.64 (step @p18 :rule cong :premises (@p17) :args (@t81)) % 223.32/223.64 (step @p19 :rule trans :premises (@p18 @p12)) % 223.32/223.64 (step @p20 :rule true_elim :premises (@p19)) % 223.32/223.64 (step @p21 :rule eq_resolve :premises (@p20 @p8)) % 223.32/223.64 (step @p22 :rule eq-symm :args (@t82 @t72)) % 223.32/223.64 (step @p23 :rule refl :args (@t83)) % 223.32/223.64 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t84)) % 223.32/223.64 (step @p25 :rule refl :args (@t85)) % 223.32/223.64 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t85 @t84))) % 223.32/223.64 (step @p27 :rule eq-symm :args (@t84 @t85)) % 223.32/223.64 (step @p28 :rule trans :premises (@p27 @p26)) % 223.32/223.64 (step @p29 :rule refl :args (@t86)) % 223.32/223.64 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t86 @t87))) % 223.32/223.64 (assume-push @p505 @t86) % 223.32/223.64 (step @p32 :rule instantiate :premises (@p21) :args ((@list @t82))) % 223.32/223.64 (step-pop @p506 :rule scope :premises (@p32)) % 223.32/223.64 (step @p33 :rule process_scope :premises (@p506) :args (@t87)) % 223.32/223.64 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 223.32/223.64 (step @p36 :rule implies_elim :premises (@p35)) % 223.32/223.64 (step @p37 :rule chain_m_resolution :premises (@p36 @p21) :args (@t90 @t91 @t92)) % 223.32/223.64 (step @p38 :rule refl :args (@t54)) % 223.32/223.64 (step @p39 :rule refl :args (@t2)) % 223.32/223.64 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t2 @t54))) % 223.32/223.64 (step @p41 :rule symm :premises (@p40)) % 223.32/223.64 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 223.32/223.64 (step @p43 :rule refl :args (@t63)) % 223.32/223.64 (step @p44 :rule refl :args (@t69)) % 223.32/223.64 (step @p45 :rule nary_cong :premises (@p44 @p43 @p42) :args (@t93)) % 223.32/223.64 (step @p46 :rule cong :premises (@p45) :args ((forall @t31 @t93))) % 223.32/223.64 (step @p47 :rule aci_norm :args ((= (or (or @t69 @t63) @t2) @t93))) % 223.32/223.64 (step @p48 :rule bool-and-de-morgan :args (@t68 @t62 true)) % 223.32/223.64 (step @p49 :rule nary_cong :premises (@p48 @p39) :args ((or (not @t94) @t2))) % 223.32/223.64 (step @p50 :rule trans :premises (@p49 @p47)) % 223.32/223.64 (step @p51 :rule bool-impl-elim :args (@t94 @t2)) % 223.32/223.64 (step @p52 :rule trans :premises (@p51 @p50)) % 223.32/223.64 (step @p53 :rule cong :premises (@p52) :args ((forall @t31 (=> @t94 @t2)))) % 223.32/223.64 (step @p54 :rule trans :premises (@p53 @p46)) % 223.32/223.64 (step @p55 :rule refl :args (@t2)) % 223.32/223.64 (step @p56 :rule refl :args (@t55)) % 223.32/223.64 (step @p57 :rule refl :args (@t4)) % 223.32/223.64 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t4 @t55))) % 223.32/223.64 (step @p59 :rule symm :premises (@p58)) % 223.32/223.64 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 223.32/223.64 (step @p61 :rule refl :args (@t60)) % 223.32/223.64 (step @p62 :rule refl :args (@t61)) % 223.32/223.64 (step @p63 :rule refl :args (@t14)) % 223.32/223.64 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t14 @t61))) % 223.32/223.64 (step @p65 :rule symm :premises (@p64)) % 223.32/223.64 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 223.32/223.64 (step @p67 :rule cong :premises (@p66) :args (@t95)) % 223.32/223.64 (step @p68 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:premises (@p308)) % 223.32/223.65 (step @p310 :rule eq_resolve :premises (@p309 @p284)) % 223.32/223.65 (step @p311 :rule chain_m_resolution :premises (@p310 @p281) :args (@t151 @t136 (@list @t71))) % 223.32/223.65 (step @p312 :rule cnf_or_neg :args (@t150 1)) % 223.32/223.65 (step @p313 :rule chain_m_resolution :premises (@p312 @p311) :args (@t160 @t136 @t161)) % 223.32/223.65 (step @p314 :rule bool-double-not-elim :args (@t148)) % 223.32/223.65 (step @p315 :rule refl :args (@t150)) % 223.32/223.65 (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or @t150 (not @t149)))) % 223.32/223.65 (step @p317 :rule cnf_or_neg :args (@t150 0)) % 223.32/223.65 (step @p318 :rule eq_resolve :premises (@p317 @p316)) % 223.32/223.65 (step @p319 :rule reordering :premises (@p318) :args ((or @t148 @t150))) % 223.32/223.65 (step @p320 :rule chain_m_resolution :premises (@p319 @p311) :args (@t148 @t136 @t161)) % 223.32/223.65 (step @p321 :rule refl :args (@t163)) % 223.32/223.65 (step @p322 :rule bool-double-not-elim :args (@t147)) % 223.32/223.65 (step @p323 :rule nary_cong :premises (@p291 @p322 @p321) :args ((or @t149 (not @t160) @t163))) % 223.32/223.65 (assume-push @p513 @t162) % 223.32/223.65 (assume-push @p514 @t160) % 223.32/223.65 (assume-push @p515 @t148) % 223.32/223.65 (step @p327 :rule evaluate :args ((= false true))) % 223.32/223.65 (step @p328 :rule true_intro :premises (@p515)) % 223.32/223.65 (step @p329 :rule refl :args (@t148)) % 223.32/223.65 (step @p330 :rule symm :premises (@p329)) % 223.32/223.65 (step @p331 :rule symm :premises (@p513)) % 223.32/223.65 (step @p332 :rule refl :args (@t70)) % 223.32/223.65 (step @p333 :rule ho_cong :premises (@p332 @p331)) % 223.32/223.65 (step @p334 :rule refl :args (@t147)) % 223.32/223.65 (step @p335 :rule false_intro :premises (@p514)) % 223.32/223.65 (step @p336 :rule symm :premises (@p335)) % 223.32/223.65 (step @p337 :rule trans :premises (@p336 @p334 @p333 @p330 @p328)) % 223.32/223.65 (step @p338 false :rule eq_resolve :premises (@p337 @p327)) % 223.32/223.65 (step-pop @p516 :rule scope :premises (@p338)) % 223.32/223.65 (step-pop @p517 :rule scope :premises (@p516)) % 223.32/223.65 (step-pop @p518 :rule scope :premises (@p517)) % 223.32/223.65 (step @p339 :rule process_scope :premises (@p518) :args (false)) % 223.32/223.65 (assume-push @p519 @t148) % 223.32/223.65 (assume-push @p520 @t160) % 223.32/223.65 (assume-push @p521 @t162) % 223.32/223.65 (step @p346 :rule and_intro :premises (@p521 @p520 @p519)) % 223.32/223.65 (step-pop @p522 :rule scope :premises (@p346)) % 223.32/223.65 (step-pop @p523 :rule scope :premises (@p522)) % 223.32/223.65 (step-pop @p524 :rule scope :premises (@p523)) % 223.32/223.65 (step @p347 :rule process_scope :premises (@p524) :args (@t164)) % 223.32/223.65 (step @p351 :rule implies_elim :premises (@p347)) % 223.32/223.65 (step @p352 :rule resolution :premises (@p351 @p339) :args (true @t164)) % 223.32/223.65 (step @p353 :rule not_and :premises (@p352)) % 223.32/223.65 (step @p354 :rule eq_resolve :premises (@p353 @p323)) % 223.32/223.65 (step @p355 :rule chain_m_resolution :premises (@p354 @p320 @p313) :args (@t163 (@list false true) (@list @t148 @t147))) % 223.32/223.65 ; WARNING: add trust step for TRUST % 223.32/223.65 ; trust TRUST THEORY_LEMMA % 223.32/223.65 (step @p356 :rule trust :premises () :args ((or @t162 @t166))) % 223.32/223.65 (step @p357 :rule chain_m_resolution :premises (@p356 @p355) :args (@t166 @t136 (@list @t162))) % 223.32/223.65 (step @p358 :rule cnf_equiv_neg2 :args (@t165)) % 223.32/223.65 (step @p359 :rule cnf_or_neg :args (@t89 0)) % 223.32/223.65 (step @p360 :rule reordering :premises (@p359) :args ((or @t167 @t89))) % 223.32/223.65 (step @p361 :rule cnf_equiv_pos2 :args (@t90)) % 223.32/223.65 (step @p362 :rule reordering :premises (@p361) :args ((or @t85 @t169 @t168))) % 223.32/223.65 (step @p363 :rule chain_m_resolution :premises (@p362 @p37 @p360 @p358 @p357) :args (@t167 (@list false false true true) (@list @t90 @t89 @t85 @t165))) % 223.32/223.65 (step @p364 :rule cnf_equiv_neg1 :args (@t165)) % 223.32/223.65 (step @p365 :rule reordering :premises (@p364) :args ((or @t83 @t85 @t165))) % 223.32/223.65 (step @p366 :rule chain_m_resolution :premises (@p365 @p363 @p357) :args (@t85 @t170 (@list @t83 @t165))) % 223.32/223.65 (step @p367 :rule cnf_equiv_pos1 :args (@t90)) % 223.32/223.65 (step @p368 :rule reordering :premises (@p367) :args ((or (not @t85) @t89 @t168))) % 223.32/223.65 (step @p369 :rule chain_m_resolution :premises (@p368 @p366 @p37) :args (@t89 @t146 (@list @t85 @t90))) % 223.32/223.65 (step @p370 :rule cnf_or_pos :args (@t89)) % 223.32/223.65 (step @p371 :rule reordering :premises (@p370) :args ((or @t83 @t88 @t169))) % 223.32/223.65 (step @p372 :rule chain_m_resolution :premises (@p371 @p363 @p369) :args (@t88 @t171 (@list @t83 @t89))) % 223.32/223.65 (step @p373 :rule eq-symm :args (@t175 @t72)) % 223.32/223.65 (step @p374 :rule refl :args (@t176)) % 223.32/223.65 (step @p375 :rule nary_cong :premises (@p374 @p373) :args (@t177)) % 223.32/223.65 (step @p376 :rule refl :args (@t178)) % 223.32/223.65 (step @p377 :rule cong :premises (@p376 @p375) :args ((= @t178 @t177))) % 223.32/223.65 (step @p378 :rule eq-symm :args (@t177 @t178)) % 223.32/223.65 (step @p379 :rule trans :premises (@p378 @p377)) % 223.32/223.65 (step @p380 :rule cong :premises (@p29 @p379) :args ((=> @t86 @t179))) % 223.32/223.65 (assume-push @p525 @t86) % 223.32/223.65 (step @p382 :rule instantiate :premises (@p21) :args ((@list @t175))) % 223.32/223.65 (step-pop @p526 :rule scope :premises (@p382)) % 223.32/223.65 (step @p383 :rule process_scope :premises (@p526) :args (@t179)) % 223.32/223.65 (step @p385 :rule eq_resolve :premises (@p383 @p380)) % 223.32/223.65 (step @p386 :rule implies_elim :premises (@p385)) % 223.32/223.65 (step @p387 :rule chain_m_resolution :premises (@p386 @p21) :args (@t182 @t91 @t92)) % 223.32/223.65 (step @p388 :rule bool-double-not-elim :args (@t132)) % 223.32/223.65 (step @p389 :rule nary_cong :premises (@p243 @p388) :args ((or @t135 (not @t133)))) % 223.32/223.65 (step @p390 :rule cnf_or_neg :args (@t135 1)) % 223.32/223.65 (step @p391 :rule eq_resolve :premises (@p390 @p389)) % 223.32/223.65 (step @p392 :rule reordering :premises (@p391) :args ((or @t132 @t135))) % 223.32/223.65 (step @p393 :rule chain_m_resolution :premises (@p392 @p241) :args (@t132 @t136 @t137)) % 223.32/223.65 (step @p394 :rule refl :args (@t147)) % 223.32/223.65 (step @p395 :rule eq-symm :args (@t82 @t6)) % 223.32/223.65 (step @p396 :rule refl :args (@t172)) % 223.32/223.65 (step @p397 :rule nary_cong :premises (@p396 @p395) :args (@t183)) % 223.32/223.65 (step @p398 :rule refl :args (@t173)) % 223.32/223.65 (step @p399 :rule cong :premises (@p398 @p397) :args (@t184)) % 223.32/223.65 (step @p400 :rule cong :premises (@p399) :args (@t185)) % 223.32/223.65 (step @p401 :rule cong :premises (@p400) :args (@t186)) % 223.32/223.65 (step @p402 :rule nary_cong :premises (@p291 @p401 @p394) :args (@t187)) % 223.32/223.65 (step @p403 :rule refl :args (@t132)) % 223.32/223.65 (step @p404 :rule cong :premises (@p403 @p402) :args ((=> @t132 @t187))) % 223.32/223.65 (assume-push @p527 @t132) % 223.32/223.65 (step @p406 :rule instantiate :premises (@p393) :args ((@list @t73 @t82 @t77))) % 223.32/223.65 (step-pop @p528 :rule scope :premises (@p406)) % 223.32/223.65 (step @p407 :rule process_scope :premises (@p528) :args (@t187)) % 223.32/223.65 (step @p409 :rule eq_resolve :premises (@p407 @p404)) % 223.32/223.65 (step @p410 :rule implies_elim :premises (@p409)) % 223.32/223.65 (step @p411 :rule chain_m_resolution :premises (@p410 @p393) :args (@t189 @t91 (@list @t132))) % 223.32/223.65 (step @p412 :rule cnf_or_pos :args (@t189)) % 223.32/223.65 (step @p413 :rule reordering :premises (@p412) :args ((or @t149 @t147 @t188 (not @t189)))) % 223.32/223.65 (step @p414 :rule chain_m_resolution :premises (@p413 @p320 @p313 @p411) :args (@t188 @t190 (@list @t148 @t147 @t189))) % 223.32/223.65 (step @p415 :rule refl :args (@t194)) % 223.32/223.65 (step @p416 :rule bool-double-not-elim :args (@t174)) % 223.32/223.65 (step @p417 :rule nary_cong :premises (@p416 @p415) :args ((or (not @t188) @t194))) % 223.32/223.65 (step @p418 :rule eq-symm :args (@t175 @t82)) % 223.32/223.65 (step @p419 :rule nary_cong :premises (@p374 @p418) :args (@t195)) % 223.32/223.65 (step @p420 :rule cong :premises (@p376 @p419) :args (@t196)) % 223.32/223.65 (step @p421 :rule cong :premises (@p420) :args (@t197)) % 223.32/223.65 (step @p422 :rule refl :args (@t188)) % 223.32/223.65 (step @p423 :rule cong :premises (@p422 @p421) :args ((=> @t188 @t197))) % 223.32/223.65 (assume-push @p529 @t188) % 223.32/223.65 (step @p425 :rule skolemize :premises (@p529)) % 223.32/223.65 (step-pop @p530 :rule scope :premises (@p425)) % 223.32/223.65 (step @p426 :rule process_scope :premises (@p530) :args (@t197)) % 223.32/223.65 (step @p428 :rule eq_resolve :premises (@p426 @p423)) % 223.32/223.65 (step @p429 :rule implies_elim :premises (@p428)) % 223.32/223.65 (step @p430 :rule eq_resolve :premises (@p429 @p417)) % 223.32/223.65 (step @p431 :rule chain_m_resolution :premises (@p430 @p414) :args (@t194 @t136 (@list @t174))) % 223.32/223.65 (step @p432 :rule cnf_equiv_neg2 :args (@t193)) % 223.32/223.65 (step @p433 :rule cnf_equiv_pos1 :args (@t182)) % 223.32/223.65 (step @p434 :rule reordering :premises (@p433) :args ((or @t199 @t181 @t198))) % 223.32/223.65 (step @p435 :rule cnf_or_neg :args (@t192 0)) % 223.32/223.65 (step @p436 :rule cnf_or_neg :args (@t192 1)) % 223.32/223.65 (step @p437 :rule cnf_or_pos :args (@t181)) % 223.32/223.65 (step @p438 :rule reordering :premises (@p437) :args ((or @t176 @t180 @t200))) % 223.32/223.65 (step @p439 :rule refl :args (@t201)) % 223.32/223.65 (step @p440 :rule bool-double-not-elim :args (@t191)) % 223.32/223.65 (step @p441 :rule refl :args (@t202)) % 223.32/223.65 (step @p442 :rule nary_cong :premises (@p441 @p440 @p439) :args ((or @t202 (not @t203) @t201))) % 223.32/223.65 (assume-push @p531 @t88) % 223.32/223.65 (assume-push @p532 @t203) % 223.32/223.65 (assume-push @p533 @t203) % 223.32/223.65 (assume-push @p534 @t88) % 223.32/223.65 (step @p447 :rule false_intro :premises (@p532)) % 223.32/223.65 (step @p448 :rule refl :args (@t175)) % 223.32/223.65 (step @p449 :rule cong :premises (@p531 @p448) :args (@t180)) % 223.32/223.65 (step @p450 :rule trans :premises (@p449 @p447)) % 223.32/223.65 (step @p451 :rule false_elim :premises (@p450)) % 223.32/223.65 (step-pop @p535 :rule scope :premises (@p451)) % 223.32/223.65 (step-pop @p536 :rule scope :premises (@p535)) % 223.32/223.65 (step @p452 :rule process_scope :premises (@p536) :args (@t201)) % 223.32/223.65 (step @p455 :rule and_intro :premises (@p532 @p531)) % 223.32/223.65 (step @p456 :rule modus_ponens :premises (@p455 @p452)) % 223.32/223.65 (step-pop @p537 :rule scope :premises (@p456)) % 223.32/223.65 (step-pop @p538 :rule scope :premises (@p537)) % 223.32/223.65 (step @p457 :rule process_scope :premises (@p538) :args (@t201)) % 223.32/223.65 (step @p460 :rule implies_elim :premises (@p457)) % 223.32/223.65 (step @p461 :rule cnf_and_neg :args (@t204)) % 223.32/223.65 (step @p462 :rule resolution :premises (@p461 @p460) :args (true @t204)) % 223.32/223.65 (step @p463 :rule eq_resolve :premises (@p462 @p442)) % 223.32/223.65 (step @p464 :rule chain_m_resolution :premises (@p463 @p372 @p438 @p436 @p435 @p434 @p387 @p432 @p431) :args (@t199 (@list false false true true false false true true) (@list @t88 @t180 @t191 @t176 @t181 @t182 @t192 @t193))) % 223.32/223.65 (step @p465 :rule cnf_equiv_pos2 :args (@t182)) % 223.32/223.65 (step @p466 :rule reordering :premises (@p465) :args ((or @t178 @t200 @t198))) % 223.32/223.65 (step @p467 :rule chain_m_resolution :premises (@p466 @p464 @p387) :args (@t200 @t171 (@list @t178 @t182))) % 223.32/223.65 (step @p468 :rule cnf_or_neg :args (@t181 1)) % 223.32/223.65 (step @p469 :rule chain_m_resolution :premises (@p468 @p467) :args (@t201 @t136 @t205)) % 223.32/223.65 (step @p470 :rule cnf_equiv_neg1 :args (@t193)) % 223.32/223.65 (step @p471 :rule reordering :premises (@p470) :args ((or @t178 @t192 @t193))) % 223.32/223.65 (step @p472 :rule chain_m_resolution :premises (@p471 @p464 @p431) :args (@t192 @t170 (@list @t178 @t193))) % 223.32/223.65 (step @p473 :rule cnf_or_neg :args (@t181 0)) % 223.32/223.65 (step @p474 :rule reordering :premises (@p473) :args ((or @t206 @t181))) % 223.32/223.65 (step @p475 :rule chain_m_resolution :premises (@p474 @p467) :args (@t206 @t136 @t205)) % 223.32/223.65 (step @p476 :rule cnf_or_pos :args (@t192)) % 223.32/223.65 (step @p477 :rule reordering :premises (@p476) :args ((or @t176 @t191 (not @t192)))) % 223.32/223.65 (step @p478 :rule chain_m_resolution :premises (@p477 @p475 @p472) :args (@t191 @t171 (@list @t176 @t192))) % 223.32/223.65 (step @p479 :rule refl :args (@t203)) % 223.32/223.65 (step @p480 :rule bool-double-not-elim :args (@t180)) % 223.32/223.65 (step @p481 :rule nary_cong :premises (@p441 @p480 @p479) :args ((or @t202 (not @t201) @t203))) % 223.32/223.65 (assume-push @p539 @t88) % 223.32/223.65 (assume-push @p540 @t201) % 223.32/223.65 (assume-push @p541 @t201) % 223.32/223.65 (assume-push @p542 @t88) % 223.32/223.65 (step @p486 :rule false_intro :premises (@p540)) % 223.32/223.65 (step @p448 :rule refl :args (@t175)) % 223.32/223.65 (step @p487 :rule symm :premises (@p539)) % 223.32/223.65 (step @p488 :rule cong :premises (@p487 @p448) :args (@t191)) % 223.32/223.65 (step @p489 :rule trans :premises (@p488 @p486)) % 223.32/223.65 (step @p490 :rule false_elim :premises (@p489)) % 223.32/223.65 (step-pop @p543 :rule scope :premises (@p490)) % 223.32/223.65 (step-pop @p544 :rule scope :premises (@p543)) % 223.32/223.65 (step @p491 :rule process_scope :premises (@p544) :args (@t203)) % 223.32/223.65 (step @p494 :rule and_intro :premises (@p540 @p539)) % 223.32/223.65 (step @p495 :rule modus_ponens :premises (@p494 @p491)) % 223.32/223.65 (step-pop @p545 :rule scope :premises (@p495)) % 223.32/223.65 (step-pop @p546 :rule scope :premises (@p545)) % 223.32/223.65 (step @p496 :rule process_scope :premises (@p546) :args (@t203)) % 223.32/223.65 (step @p499 :rule implies_elim :premises (@p496)) % 223.32/223.65 (step @p500 :rule cnf_and_neg :args (@t207)) % 223.32/223.65 (step @p501 :rule resolution :premises (@p500 @p499) :args (true @t207)) % 223.32/223.65 (step @p502 :rule eq_resolve :premises (@p501 @p481)) % 223.32/223.65 (step @p503 :rule reordering :premises (@p502) :args ((or @t202 @t203 @t180))) % 223.32/223.65 (step @p504 false :rule chain_m_resolution :premises (@p503 @p478 @p469 @p372) :args (false @t190 (@list @t191 @t180 @t88))) % 223.32/223.65 ) % 223.32/223.65 % SZS output end Proof % 223.32/223.65 % cvc5 exiting %------------------------------------------------------------------------------