%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT001+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:40 AM UTC 2026 % Result : Theorem 0.20s 0.54s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT001+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.12/0.37 % Computer : n007.cluster.edu % 0.12/0.37 % Model : x86_64 x86_64 % 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.37 % Memory : 8046.5625MB % 0.12/0.37 % OS : Linux 6.8.0-71-generic % 0.12/0.37 % CPULimit : 300 % 0.12/0.37 % WCLimit : 300 % 0.12/0.37 % DateTime : Mon Sep 7 11:31:26 UTC 2026 % 0.12/0.37 % CPUTime : % 0.12/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.20/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.20/0.54 % SZS status Theorem % 0.20/0.54 % SZS output start Proof % 0.20/0.54 ( % 0.20/0.54 (declare-sort $$unsorted 0) % 0.20/0.54 (declare-const tptp.reorganization_free (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.54 (declare-const tptp.survival_chance (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.54 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.20/0.54 (declare-const tptp.inertia (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.54 (declare-const tptp.accountability (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.54 (declare-const tptp.organization (-> $$unsorted $$unsorted Bool)) % 0.20/0.54 (declare-const tptp.reproducibility (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.54 (declare-const tptp.reliability (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.54 (define @t1 () (@var "T" $$unsorted)) % 0.20/0.54 (define @t2 () (@var "R" $$unsorted)) % 0.20/0.54 (define @t3 () (@var "X" $$unsorted)) % 0.20/0.54 (define @t4 () (tptp.reliability @t3 @t2 @t1)) % 0.20/0.54 (define @t5 () (@list @t2)) % 0.20/0.54 (define @t6 () (exists @t5 @t4)) % 0.20/0.54 (define @t7 () (tptp.organization @t3 @t1)) % 0.20/0.54 (define @t8 () (=> @t7 @t6)) % 0.20/0.54 (define @t9 () (@list @t3 @t1)) % 0.20/0.54 (define @t10 () (forall @t9 @t8)) % 0.20/0.54 (define @t11 () (@var "A" $$unsorted)) % 0.20/0.54 (define @t12 () (tptp.accountability @t3 @t11 @t1)) % 0.20/0.54 (define @t13 () (@list @t11)) % 0.20/0.54 (define @t14 () (exists @t13 @t12)) % 0.20/0.54 (define @t15 () (=> @t7 @t14)) % 0.20/0.54 (define @t16 () (forall @t9 @t15)) % 0.20/0.54 (define @t17 () (@var "Rp" $$unsorted)) % 0.20/0.54 (define @t18 () (tptp.reproducibility @t3 @t17 @t1)) % 0.20/0.54 (define @t19 () (@list @t17)) % 0.20/0.54 (define @t20 () (exists @t19 @t18)) % 0.20/0.54 (define @t21 () (=> @t7 @t20)) % 0.20/0.54 (define @t22 () (forall @t9 @t21)) % 0.20/0.54 (define @t23 () (@var "P1" $$unsorted)) % 0.20/0.54 (define @t24 () (@var "P2" $$unsorted)) % 0.20/0.54 (define @t25 () (tptp.greater @t24 @t23)) % 0.20/0.54 (define @t26 () (@var "A1" $$unsorted)) % 0.20/0.54 (define @t27 () (@var "A2" $$unsorted)) % 0.20/0.54 (define @t28 () (tptp.greater @t27 @t26)) % 0.20/0.54 (define @t29 () (@var "R1" $$unsorted)) % 0.20/0.54 (define @t30 () (@var "R2" $$unsorted)) % 0.20/0.54 (define @t31 () (tptp.greater @t30 @t29)) % 0.20/0.54 (define @t32 () (@var "T2" $$unsorted)) % 0.20/0.54 (define @t33 () (@var "Y" $$unsorted)) % 0.20/0.54 (define @t34 () (tptp.survival_chance @t33 @t24 @t32)) % 0.20/0.54 (define @t35 () (@var "T1" $$unsorted)) % 0.20/0.54 (define @t36 () (tptp.survival_chance @t3 @t23 @t35)) % 0.20/0.54 (define @t37 () (tptp.accountability @t33 @t27 @t32)) % 0.20/0.54 (define @t38 () (tptp.accountability @t3 @t26 @t35)) % 0.20/0.54 (define @t39 () (tptp.reliability @t33 @t30 @t32)) % 0.20/0.54 (define @t40 () (tptp.reliability @t3 @t29 @t35)) % 0.20/0.54 (define @t41 () (tptp.organization @t33 @t32)) % 0.20/0.54 (define @t42 () (tptp.organization @t3 @t35)) % 0.20/0.54 (define @t43 () (and @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t31 @t28)) % 0.20/0.54 (define @t44 () (forall (@list @t3 @t33 @t29 @t30 @t26 @t27 @t23 @t24 @t35 @t32) (=> @t43 @t25))) % 0.20/0.54 (define @t45 () (and @t31 @t28)) % 0.20/0.54 (define @t46 () (@var "Rp1" $$unsorted)) % 0.20/0.54 (define @t47 () (@var "Rp2" $$unsorted)) % 0.20/0.54 (define @t48 () (tptp.greater @t47 @t46)) % 0.20/0.54 (define @t49 () (= @t48 @t45)) % 0.20/0.54 (define @t50 () (tptp.reproducibility @t33 @t47 @t32)) % 0.20/0.54 (define @t51 () (tptp.reproducibility @t3 @t46 @t35)) % 0.20/0.54 (define @t52 () (and @t42 @t41 @t40 @t39 @t38 @t37 @t51 @t50)) % 0.20/0.54 (define @t53 () (forall (@list @t3 @t33 @t35 @t32 @t29 @t30 @t26 @t27 @t46 @t47) (=> @t52 @t49))) % 0.20/0.54 (define @t54 () (@var "I1" $$unsorted)) % 0.20/0.54 (define @t55 () (@var "I2" $$unsorted)) % 0.20/0.54 (define @t56 () (tptp.greater @t55 @t54)) % 0.20/0.54 (define @t57 () (= @t48 @t56)) % 0.20/0.54 (define @t58 () (tptp.inertia @t33 @t55 @t32)) % 0.20/0.54 (define @t59 () (tptp.inertia @t3 @t54 @t35)) % 0.20/0.54 (define @t60 () (tptp.reorganization_free @t33 @t32 @t32)) % 0.20/0.54 (define @t61 () (tptp.reorganization_free @t3 @t35 @t35)) % 0.20/0.54 (define @t62 () (and @t42 @t41 @t61 @t60 @t51 @t50 @t59 @t58)) % 0.20/0.54 (define @t63 () (@list @t3 @t33 @t35 @t32 @t46 @t47 @t54 @t55)) % 0.20/0.54 (define @t64 () (forall @t63 (=> @t62 @t57))) % 0.20/0.54 (define @t65 () (and @t42 @t41 @t61 @t60 @t59 @t58 @t36 @t34 @t56)) % 0.20/0.54 (define @t66 () (@list @t3 @t33 @t35 @t32 @t54 @t55 @t23 @t24)) % 0.20/0.54 (define @t67 () (forall @t66 (=> @t65 @t25))) % 0.20/0.54 (define @t68 () (not @t67)) % 0.20/0.54 (define @t69 () (not @t56)) % 0.20/0.54 (define @t70 () (not @t34)) % 0.20/0.54 (define @t71 () (not @t36)) % 0.20/0.54 (define @t72 () (not @t58)) % 0.20/0.54 (define @t73 () (not @t59)) % 0.20/0.54 (define @t74 () (not @t60)) % 0.20/0.54 (define @t75 () (not @t61)) % 0.20/0.54 (define @t76 () (not @t41)) % 0.20/0.54 (define @t77 () (not @t42)) % 0.20/0.54 (define @t78 () (or @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t25)) % 0.20/0.54 (define @t79 () (or @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69)) % 0.20/0.54 (define @t80 () (forall @t66 @t78)) % 0.20/0.54 (define @t81 () (@quantifiers_skolemize @t80 2)) % 0.20/0.54 (define @t82 () (@quantifiers_skolemize @t80 0)) % 0.20/0.54 (define @t83 () (tptp.organization @t82 @t81)) % 0.20/0.54 (define @t84 () (@quantifiers_skolemize @t80 6)) % 0.20/0.54 (define @t85 () (@quantifiers_skolemize @t80 7)) % 0.20/0.54 (define @t86 () (tptp.greater @t85 @t84)) % 0.20/0.54 (define @t87 () (@quantifiers_skolemize @t80 4)) % 0.20/0.54 (define @t88 () (@quantifiers_skolemize @t80 5)) % 0.20/0.54 (define @t89 () (tptp.greater @t88 @t87)) % 0.20/0.54 (define @t90 () (not @t89)) % 0.20/0.54 (define @t91 () (@quantifiers_skolemize @t80 3)) % 0.20/0.54 (define @t92 () (@quantifiers_skolemize @t80 1)) % 0.20/0.54 (define @t93 () (tptp.survival_chance @t92 @t85 @t91)) % 0.20/0.54 (define @t94 () (not @t93)) % 0.20/0.54 (define @t95 () (tptp.survival_chance @t82 @t84 @t81)) % 0.20/0.54 (define @t96 () (not @t95)) % 0.20/0.54 (define @t97 () (tptp.inertia @t92 @t88 @t91)) % 0.20/0.54 (define @t98 () (not @t97)) % 0.20/0.54 (define @t99 () (tptp.inertia @t82 @t87 @t81)) % 0.20/0.54 (define @t100 () (not @t99)) % 0.20/0.54 (define @t101 () (tptp.reorganization_free @t92 @t91 @t91)) % 0.20/0.54 (define @t102 () (not @t101)) % 0.20/0.54 (define @t103 () (tptp.reorganization_free @t82 @t81 @t81)) % 0.20/0.54 (define @t104 () (not @t103)) % 0.20/0.54 (define @t105 () (tptp.organization @t92 @t91)) % 0.20/0.54 (define @t106 () (not @t105)) % 0.20/0.54 (define @t107 () (not @t83)) % 0.20/0.54 (define @t108 () (or @t107 @t106 @t104 @t102 @t100 @t98 @t96 @t94 @t90 @t86)) % 0.20/0.54 (define @t109 () (@list true)) % 0.20/0.54 (define @t110 () (@list @t108)) % 0.20/0.54 (define @t111 () (not (forall @t5 (not @t4)))) % 0.20/0.54 (define @t112 () (@list @t82 @t81)) % 0.20/0.54 (define @t113 () (forall @t5 (not (tptp.reliability @t82 @t2 @t81)))) % 0.20/0.54 (define @t114 () (not @t113)) % 0.20/0.54 (define @t115 () (or @t107 @t114)) % 0.20/0.54 (define @t116 () (@list false false)) % 0.20/0.54 (define @t117 () (@quantifiers_skolemize @t113 0)) % 0.20/0.54 (define @t118 () (tptp.reliability @t82 @t117 @t81)) % 0.20/0.54 (define @t119 () (not @t118)) % 0.20/0.54 (define @t120 () (not @t119)) % 0.20/0.54 (define @t121 () (@list @t92 @t91)) % 0.20/0.54 (define @t122 () (forall @t5 (not (tptp.reliability @t92 @t2 @t91)))) % 0.20/0.54 (define @t123 () (not @t122)) % 0.20/0.54 (define @t124 () (or @t106 @t123)) % 0.20/0.54 (define @t125 () (@quantifiers_skolemize @t122 0)) % 0.20/0.54 (define @t126 () (tptp.reliability @t92 @t125 @t91)) % 0.20/0.54 (define @t127 () (not @t126)) % 0.20/0.54 (define @t128 () (not @t127)) % 0.20/0.54 (define @t129 () (not (forall @t13 (not @t12)))) % 0.20/0.54 (define @t130 () (forall @t13 (not (tptp.accountability @t82 @t11 @t81)))) % 0.20/0.54 (define @t131 () (not @t130)) % 0.20/0.54 (define @t132 () (or @t107 @t131)) % 0.20/0.54 (define @t133 () (@quantifiers_skolemize @t130 0)) % 0.20/0.54 (define @t134 () (tptp.accountability @t82 @t133 @t81)) % 0.20/0.54 (define @t135 () (not @t134)) % 0.20/0.54 (define @t136 () (not @t135)) % 0.20/0.54 (define @t137 () (forall @t13 (not (tptp.accountability @t92 @t11 @t91)))) % 0.20/0.54 (define @t138 () (not @t137)) % 0.20/0.54 (define @t139 () (or @t106 @t138)) % 0.20/0.54 (define @t140 () (@quantifiers_skolemize @t137 0)) % 0.20/0.54 (define @t141 () (tptp.accountability @t92 @t140 @t91)) % 0.20/0.54 (define @t142 () (not @t141)) % 0.20/0.54 (define @t143 () (not @t142)) % 0.20/0.54 (define @t144 () (not @t28)) % 0.20/0.54 (define @t145 () (not @t31)) % 0.20/0.54 (define @t146 () (not @t37)) % 0.20/0.54 (define @t147 () (not @t38)) % 0.20/0.54 (define @t148 () (not @t39)) % 0.20/0.54 (define @t149 () (not @t40)) % 0.20/0.54 (define @t150 () (or @t77 @t76 @t149 @t148 @t147 @t146 @t71 @t70 @t145 @t144)) % 0.20/0.54 (define @t151 () (not @t50)) % 0.20/0.54 (define @t152 () (not @t51)) % 0.20/0.54 (define @t153 () (or @t77 @t76 @t149 @t148 @t147 @t146 @t152 @t151)) % 0.20/0.54 (define @t154 () (forall @t19 (not (tptp.reproducibility @t92 @t17 @t91)))) % 0.20/0.54 (define @t155 () (@quantifiers_skolemize @t154 0)) % 0.20/0.54 (define @t156 () (forall @t19 (not (tptp.reproducibility @t82 @t17 @t81)))) % 0.20/0.54 (define @t157 () (@quantifiers_skolemize @t156 0)) % 0.20/0.54 (define @t158 () (not (forall @t19 (not @t18)))) % 0.20/0.54 (define @t159 () (not @t154)) % 0.20/0.54 (define @t160 () (or @t106 @t159)) % 0.20/0.54 (define @t161 () (tptp.reproducibility @t92 @t155 @t91)) % 0.20/0.54 (define @t162 () (not @t161)) % 0.20/0.54 (define @t163 () (not @t162)) % 0.20/0.54 (define @t164 () (not @t156)) % 0.20/0.54 (define @t165 () (or @t107 @t164)) % 0.20/0.54 (define @t166 () (tptp.reproducibility @t82 @t157 @t81)) % 0.20/0.54 (define @t167 () (not @t166)) % 0.20/0.54 (define @t168 () (not @t167)) % 0.20/0.54 (define @t169 () (tptp.greater @t140 @t133)) % 0.20/0.54 (define @t170 () (tptp.greater @t125 @t117)) % 0.20/0.54 (define @t171 () (and @t170 @t169)) % 0.20/0.54 (define @t172 () (tptp.greater @t155 @t157)) % 0.20/0.54 (define @t173 () (= @t172 @t171)) % 0.20/0.54 (define @t174 () (or @t107 @t106 @t119 @t127 @t135 @t142 @t167 @t162 @t173)) % 0.20/0.54 (define @t175 () (@list false false false false false false false false false)) % 0.20/0.54 (define @t176 () (or @t77 @t76 @t75 @t74 @t152 @t151 @t73 @t72 @t57)) % 0.20/0.54 (define @t177 () (or @t77 @t76 @t75 @t74 @t152 @t151 @t73 @t72)) % 0.20/0.54 (define @t178 () (or @t107 @t106 @t104 @t102 @t167 @t162 @t100 @t98 (= @t172 @t89))) % 0.20/0.54 (define @t179 () (forall @t63 @t176)) % 0.20/0.54 (define @t180 () (= @t89 @t172)) % 0.20/0.54 (define @t181 () (or @t107 @t106 @t104 @t102 @t167 @t162 @t100 @t98 @t180)) % 0.20/0.54 (define @t182 () (@list false)) % 0.20/0.54 (define @t183 () (not @t171)) % 0.20/0.54 (define @t184 () (@list @t171)) % 0.20/0.54 (define @t185 () (not @t169)) % 0.20/0.54 (define @t186 () (not @t170)) % 0.20/0.54 (define @t187 () (or @t107 @t106 @t119 @t127 @t135 @t142 @t96 @t94 @t186 @t185 @t86)) % 0.20/0.54 (assume @p1 @t10) % 0.20/0.54 (assume @p2 @t16) % 0.20/0.54 (assume @p3 @t22) % 0.20/0.54 (assume @p4 @t44) % 0.20/0.54 (assume @p5 @t53) % 0.20/0.54 (assume @p6 @t64) % 0.20/0.54 (assume @p7 @t68) % 0.20/0.54 (assume @p8 true) % 0.20/0.54 (step @p9 :rule aci_norm :args ((= (or @t79 @t25) @t78))) % 0.20/0.54 (step @p10 :rule refl :args (@t25)) % 0.20/0.54 (step @p11 :rule aci_norm :args ((= (or @t77 (or @t76 (or @t75 (or @t74 (or @t73 (or @t72 (or @t71 (or @t70 @t69)))))))) @t79))) % 0.20/0.54 (step @p12 :rule bool-and-de-morgan :args (@t34 @t56 true)) % 0.20/0.54 (step @p13 :rule refl :args (@t71)) % 0.20/0.54 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or @t71 (not (and @t34 @t56))))) % 0.20/0.54 (step @p15 :rule bool-and-de-morgan :args (@t36 @t34 (and @t56))) % 0.20/0.54 (step @p16 :rule trans :premises (@p15 @p14)) % 0.20/0.54 (step @p17 :rule refl :args (@t72)) % 0.20/0.54 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t72 (not (and @t36 @t34 @t56))))) % 0.20/0.54 (step @p19 :rule bool-and-de-morgan :args (@t58 @t36 (and @t34 @t56))) % 0.20/0.54 (step @p20 :rule trans :premises (@p19 @p18)) % 0.20/0.54 (step @p21 :rule refl :args (@t73)) % 0.20/0.54 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t73 (not (and @t58 @t36 @t34 @t56))))) % 0.20/0.54 (step @p23 :rule bool-and-de-morgan :args (@t59 @t58 (and @t36 @t34 @t56))) % 0.20/0.54 (step @p24 :rule trans :premises (@p23 @p22)) % 0.20/0.54 (step @p25 :rule refl :args (@t74)) % 0.20/0.54 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t74 (not (and @t59 @t58 @t36 @t34 @t56))))) % 0.20/0.54 (step @p27 :rule bool-and-de-morgan :args (@t60 @t59 (and @t58 @t36 @t34 @t56))) % 0.20/0.54 (step @p28 :rule trans :premises (@p27 @p26)) % 0.20/0.54 (step @p29 :rule refl :args (@t75)) % 0.20/0.54 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t75 (not (and @t60 @t59 @t58 @t36 @t34 @t56))))) % 0.20/0.54 (step @p31 :rule bool-and-de-morgan :args (@t61 @t60 (and @t59 @t58 @t36 @t34 @t56))) % 0.20/0.54 (step @p32 :rule trans :premises (@p31 @p30)) % 0.20/0.54 (step @p33 :rule refl :args (@t76)) % 0.20/0.54 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t76 (not (and @t61 @t60 @t59 @t58 @t36 @t34 @t56))))) % 0.20/0.54 (step @p35 :rule bool-and-de-morgan :args (@t41 @t61 (and @t60 @t59 @t58 @t36 @t34 @t56))) % 0.20/0.54 (step @p36 :rule trans :premises (@p35 @p34)) % 0.20/0.54 (step @p37 :rule refl :args (@t77)) % 0.20/0.54 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t77 (not (and @t41 @t61 @t60 @t59 @t58 @t36 @t34 @t56))))) % 0.20/0.54 (step @p39 :rule bool-and-de-morgan :args (@t42 @t41 (and @t61 @t60 @t59 @t58 @t36 @t34 @t56))) % 0.20/0.54 (step @p40 :rule trans :premises (@p39 @p38)) % 0.20/0.54 (step @p41 :rule trans :premises (@p40 @p11)) % 0.20/0.54 (step @p42 :rule nary_cong :premises (@p41 @p10) :args ((or (not @t65) @t25))) % 0.20/0.54 (step @p43 :rule trans :premises (@p42 @p9)) % 0.20/0.54 (step @p44 :rule bool-impl-elim :args (@t65 @t25)) % 0.20/0.54 (step @p45 :rule trans :premises (@p44 @p43)) % 0.20/0.54 (step @p46 :rule cong :premises (@p45) :args (@t67)) % 0.20/0.54 (step @p47 :rule cong :premises (@p46) :args (@t68)) % 0.20/0.54 (step @p48 :rule eq_resolve :premises (@p7 @p47)) % 0.20/0.54 (step @p49 :rule skolemize :premises (@p48)) % 0.20/0.54 (step @p50 :rule bool-double-not-elim :args (@t83)) % 0.20/0.54 (step @p51 :rule refl :args (@t108)) % 0.20/0.54 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t108 (not @t107)))) % 0.20/0.54 (step @p53 :rule cnf_or_neg :args (@t108 0)) % 0.20/0.54 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.20/0.54 (step @p55 :rule reordering :premises (@p54) :args ((or @t83 @t108))) % 0.20/0.54 (step @p56 :rule chain_m_resolution :premises (@p55 @p49) :args (@t83 @t109 @t110)) % 0.20/0.54 (step @p57 :rule bool-double-not-elim :args (@t105)) % 0.20/0.54 (step @p58 :rule nary_cong :premises (@p51 @p57) 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bool-double-not-elim :args (@t166)) % 0.20/0.54 (step @p267 :rule refl :args (@t164)) % 0.20/0.54 (step @p268 :rule cong :premises (@p267 @p266) :args ((=> @t164 @t168))) % 0.20/0.54 (assume-push @p388 @t164) % 0.20/0.54 (step @p270 :rule skolemize :premises (@p262)) % 0.20/0.54 (step-pop @p389 :rule scope :premises (@p270)) % 0.20/0.54 (step @p271 :rule process_scope :premises (@p389) :args (@t168)) % 0.20/0.54 (step @p273 :rule eq_resolve :premises (@p271 @p268)) % 0.20/0.54 (step @p274 :rule implies_elim :premises (@p273)) % 0.20/0.54 (step @p275 :rule eq_resolve :premises (@p274 @p265)) % 0.20/0.54 (step @p276 :rule chain_m_resolution :premises (@p275 @p262) :args (@t166 @t109 (@list @t156))) % 0.20/0.54 (step @p277 :rule cnf_or_pos :args (@t174)) % 0.20/0.54 (step @p278 :rule reordering :premises (@p277) :args ((or @t107 @t106 @t119 @t127 @t135 @t142 @t167 @t162 @t173 (not @t174)))) % 0.20/0.54 (step @p279 :rule chain_m_resolution :premises (@p278 @p56 @p62 @p102 @p120 @p145 @p163 @p276 @p258 @p233) :args (@t173 @t175 (@list @t83 @t105 @t118 @t126 @t134 @t141 @t166 @t161 @t174))) % 0.20/0.54 (step @p280 :rule aci_norm :args ((= (or @t177 @t57) @t176))) % 0.20/0.54 (step @p281 :rule refl :args (@t57)) % 0.20/0.54 (step @p282 :rule aci_norm :args ((= (or @t77 (or @t76 (or @t75 (or @t74 (or @t152 (or @t151 (or @t73 @t72))))))) @t177))) % 0.20/0.54 (step @p283 :rule bool-and-de-morgan :args (@t59 @t58 true)) % 0.20/0.54 (step @p284 :rule refl :args (@t151)) % 0.20/0.54 (step @p285 :rule nary_cong :premises (@p284 @p283) :args ((or @t151 (not (and @t59 @t58))))) % 0.20/0.54 (step @p286 :rule bool-and-de-morgan :args (@t50 @t59 (and @t58))) % 0.20/0.54 (step @p287 :rule trans :premises (@p286 @p285)) % 0.20/0.54 (step @p288 :rule refl :args (@t152)) % 0.20/0.54 (step @p289 :rule nary_cong :premises (@p288 @p287) :args ((or @t152 (not (and @t50 @t59 @t58))))) % 0.20/0.54 (step @p290 :rule bool-and-de-morgan :args (@t51 @t50 (and @t59 @t58))) % 0.20/0.54 (step @p291 :rule trans :premises (@p290 @p289)) % 0.20/0.54 (step @p292 :rule nary_cong :premises (@p25 @p291) :args ((or @t74 (not (and @t51 @t50 @t59 @t58))))) % 0.20/0.54 (step @p293 :rule bool-and-de-morgan :args (@t60 @t51 (and @t50 @t59 @t58))) % 0.20/0.54 (step @p294 :rule trans :premises (@p293 @p292)) % 0.20/0.54 (step @p295 :rule nary_cong :premises (@p29 @p294) :args ((or @t75 (not (and @t60 @t51 @t50 @t59 @t58))))) % 0.20/0.54 (step @p296 :rule bool-and-de-morgan :args (@t61 @t60 (and @t51 @t50 @t59 @t58))) % 0.20/0.54 (step @p297 :rule trans :premises (@p296 @p295)) % 0.20/0.54 (step @p298 :rule nary_cong :premises (@p33 @p297) :args ((or @t76 (not (and @t61 @t60 @t51 @t50 @t59 @t58))))) % 0.20/0.54 (step @p299 :rule bool-and-de-morgan :args (@t41 @t61 (and @t60 @t51 @t50 @t59 @t58))) % 0.20/0.54 (step @p300 :rule trans :premises (@p299 @p298)) % 0.20/0.54 (step @p301 :rule nary_cong :premises (@p37 @p300) :args ((or @t77 (not (and @t41 @t61 @t60 @t51 @t50 @t59 @t58))))) % 0.20/0.54 (step @p302 :rule bool-and-de-morgan :args (@t42 @t41 (and @t61 @t60 @t51 @t50 @t59 @t58))) % 0.20/0.54 (step @p303 :rule trans :premises (@p302 @p301)) % 0.20/0.54 (step @p304 :rule trans :premises (@p303 @p282)) % 0.20/0.54 (step @p305 :rule nary_cong :premises (@p304 @p281) :args ((or (not @t62) @t57))) % 0.20/0.54 (step @p306 :rule trans :premises (@p305 @p280)) % 0.20/0.54 (step @p307 :rule bool-impl-elim :args (@t62 @t57)) % 0.20/0.54 (step @p308 :rule trans :premises (@p307 @p306)) % 0.20/0.54 (step @p309 :rule cong :premises (@p308) :args (@t64)) % 0.20/0.54 (step @p310 :rule eq_resolve :premises (@p6 @p309)) % 0.20/0.54 (step @p311 :rule eq-symm :args (@t172 @t89)) % 0.20/0.54 (step @p312 :rule refl :args (@t98)) % 0.20/0.54 (step @p313 :rule refl :args (@t100)) % 0.20/0.54 (step @p314 :rule refl :args (@t162)) % 0.20/0.54 (step @p315 :rule refl :args (@t167)) % 0.20/0.54 (step @p316 :rule refl :args (@t102)) % 0.20/0.54 (step @p317 :rule refl :args (@t104)) % 0.20/0.54 (step @p318 :rule refl :args (@t106)) % 0.20/0.54 (step @p319 :rule refl :args (@t107)) % 0.20/0.54 (step @p320 :rule nary_cong :premises (@p319 @p318 @p317 @p316 @p315 @p314 @p313 @p312 @p311) :args (@t178)) % 0.20/0.54 (step @p321 :rule refl :args (@t179)) % 0.20/0.54 (step @p322 :rule cong :premises (@p321 @p320) :args ((=> @t179 @t178))) % 0.20/0.54 (assume-push @p390 @t179) % 0.20/0.54 (step @p324 :rule instantiate :premises (@p310) :args ((@list @t82 @t92 @t81 @t91 @t157 @t155 @t87 @t88))) % 0.20/0.54 (step-pop @p391 :rule scope :premises (@p324)) % 0.20/0.54 (step @p325 :rule process_scope :premises (@p391) :args (@t178)) % 0.20/0.54 (step @p327 :rule eq_resolve :premises (@p325 @p322)) % 0.20/0.54 (step @p328 :rule implies_elim :premises (@p327)) % 0.20/0.54 (step @p329 :rule chain_m_resolution :premises (@p328 @p310) :args (@t181 @t182 (@list @t179))) % 0.20/0.54 (step @p330 :rule bool-double-not-elim :args (@t97)) % 0.20/0.54 (step @p331 :rule nary_cong :premises (@p51 @p330) :args ((or @t108 (not @t98)))) % 0.20/0.54 (step @p332 :rule cnf_or_neg :args (@t108 5)) % 0.20/0.54 (step @p333 :rule eq_resolve :premises (@p332 @p331)) % 0.20/0.54 (step @p334 :rule reordering :premises (@p333) :args ((or @t97 @t108))) % 0.20/0.54 (step @p335 :rule chain_m_resolution :premises (@p334 @p49) :args (@t97 @t109 @t110)) % 0.20/0.54 (step @p336 :rule bool-double-not-elim :args (@t99)) % 0.20/0.54 (step @p337 :rule nary_cong :premises (@p51 @p336) :args ((or @t108 (not @t100)))) % 0.20/0.54 (step @p338 :rule cnf_or_neg :args (@t108 4)) % 0.20/0.54 (step @p339 :rule eq_resolve :premises (@p338 @p337)) % 0.20/0.54 (step @p340 :rule reordering :premises (@p339) :args ((or @t99 @t108))) % 0.20/0.54 (step @p341 :rule chain_m_resolution :premises (@p340 @p49) :args (@t99 @t109 @t110)) % 0.20/0.54 (step @p342 :rule bool-double-not-elim :args (@t101)) % 0.20/0.54 (step @p343 :rule nary_cong :premises (@p51 @p342) :args ((or @t108 (not @t102)))) % 0.20/0.54 (step @p344 :rule cnf_or_neg :args (@t108 3)) % 0.20/0.54 (step @p345 :rule eq_resolve :premises (@p344 @p343)) % 0.20/0.54 (step @p346 :rule reordering :premises (@p345) :args ((or @t101 @t108))) % 0.20/0.54 (step @p347 :rule chain_m_resolution :premises (@p346 @p49) :args (@t101 @t109 @t110)) % 0.20/0.54 (step @p348 :rule bool-double-not-elim :args (@t103)) % 0.20/0.54 (step @p349 :rule nary_cong :premises (@p51 @p348) :args ((or @t108 (not @t104)))) % 0.20/0.54 (step @p350 :rule cnf_or_neg :args (@t108 2)) % 0.20/0.54 (step @p351 :rule eq_resolve :premises (@p350 @p349)) % 0.20/0.54 (step @p352 :rule reordering :premises (@p351) :args ((or @t103 @t108))) % 0.20/0.54 (step @p353 :rule chain_m_resolution :premises (@p352 @p49) :args (@t103 @t109 @t110)) % 0.20/0.54 (step @p354 :rule cnf_or_pos :args (@t181)) % 0.20/0.54 (step @p355 :rule reordering :premises (@p354) :args ((or @t107 @t106 @t104 @t102 @t100 @t98 @t167 @t162 @t180 (not @t181)))) % 0.20/0.54 (step @p356 :rule chain_m_resolution :premises (@p355 @p56 @p62 @p353 @p347 @p341 @p335 @p276 @p258 @p329) :args (@t180 @t175 (@list @t83 @t105 @t103 @t101 @t99 @t97 @t166 @t161 @t181))) % 0.20/0.54 (step @p357 :rule bool-double-not-elim :args (@t89)) % 0.20/0.54 (step @p358 :rule nary_cong :premises (@p51 @p357) :args ((or @t108 (not @t90)))) % 0.20/0.54 (step @p359 :rule cnf_or_neg :args (@t108 8)) % 0.20/0.54 (step @p360 :rule eq_resolve :premises (@p359 @p358)) % 0.20/0.54 (step @p361 :rule reordering :premises (@p360) :args ((or @t89 @t108))) % 0.20/0.54 (step @p362 :rule chain_m_resolution :premises (@p361 @p49) :args (@t89 @t109 @t110)) % 0.20/0.54 (step @p363 :rule cnf_equiv_pos1 :args (@t180)) % 0.20/0.54 (step @p364 :rule reordering :premises (@p363) :args ((or @t90 @t172 (not @t180)))) % 0.20/0.54 (step @p365 :rule chain_m_resolution :premises (@p364 @p362 @p356) :args (@t172 @t116 (@list @t89 @t180))) % 0.20/0.54 (step @p366 :rule cnf_equiv_pos1 :args (@t173)) % 0.20/0.54 (step @p367 :rule reordering :premises (@p366) :args ((or @t171 (not @t172) (not @t173)))) % 0.20/0.54 (step @p368 :rule chain_m_resolution :premises (@p367 @p365 @p279) :args (@t171 @t116 (@list @t172 @t173))) % 0.20/0.54 (step @p369 :rule cnf_and_pos :args (@t171 0)) % 0.20/0.54 (step @p370 :rule reordering :premises (@p369) :args ((or @t170 @t183))) % 0.20/0.55 (step @p371 :rule chain_m_resolution :premises (@p370 @p368) :args (@t170 @t182 @t184)) % 0.20/0.55 (step @p372 :rule cnf_and_pos :args (@t171 1)) % 0.20/0.55 (step @p373 :rule reordering :premises (@p372) :args ((or @t169 @t183))) % 0.20/0.55 (step @p374 :rule chain_m_resolution :premises (@p373 @p368) :args (@t169 @t182 @t184)) % 0.20/0.55 (step @p375 :rule cnf_or_pos :args (@t187)) % 0.20/0.55 (step @p376 :rule reordering :premises (@p375) :args ((or @t107 @t106 @t96 @t94 @t86 @t119 @t127 @t135 @t142 @t186 @t185 (not @t187)))) % 0.20/0.55 (step @p377 false :rule chain_m_resolution :premises (@p376 @p374 @p371 @p203 @p163 @p145 @p120 @p102 @p76 @p74 @p68 @p62 @p56) :args (false (@list false false false false false false false true false false false false) (@list @t169 @t170 @t187 @t141 @t134 @t126 @t118 @t86 @t93 @t95 @t105 @t83))) % 0.20/0.55 ) % 0.20/0.55 % SZS output end Proof % 0.20/0.55 % cvc5 exiting %------------------------------------------------------------------------------