%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN548+1 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 09:09:22 AM UTC 2026 % Result : Theorem 5.42s 5.69s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN548+1 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:31:44 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 5.42/5.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.42/5.69 % SZS status Theorem % 5.42/5.69 % SZS output start Proof % 5.42/5.69 ( % 5.42/5.69 (declare-sort $$unsorted 0) % 5.42/5.69 (declare-const tptp.initial_world $$unsorted) % 5.42/5.69 (declare-const tptp.p (-> $$unsorted Bool)) % 5.42/5.69 (declare-const tptp.q (-> $$unsorted Bool)) % 5.42/5.69 (declare-const tptp.reachable (-> $$unsorted $$unsorted Bool)) % 5.42/5.69 (define @t1 () (@var "X" $$unsorted)) % 5.42/5.69 (define @t2 () (@list @t1)) % 5.42/5.69 (define @t3 () (@var "Z" $$unsorted)) % 5.42/5.69 (define @t4 () (tptp.reachable @t1 @t3)) % 5.42/5.69 (define @t5 () (@var "Y" $$unsorted)) % 5.42/5.69 (define @t6 () (tptp.reachable @t5 @t3)) % 5.42/5.69 (define @t7 () (tptp.reachable @t1 @t5)) % 5.42/5.69 (define @t8 () (and @t7 @t6)) % 5.42/5.69 (define @t9 () (forall (@list @t1 @t5 @t3) (=> @t8 @t4))) % 5.42/5.69 (define @t10 () (@var "W" $$unsorted)) % 5.42/5.69 (define @t11 () (tptp.q @t10)) % 5.42/5.69 (define @t12 () (tptp.reachable @t5 @t10)) % 5.42/5.69 (define @t13 () (@list @t10)) % 5.42/5.69 (define @t14 () (forall @t13 (=> @t12 @t11))) % 5.42/5.69 (define @t15 () (tptp.p @t10)) % 5.42/5.69 (define @t16 () (forall @t13 (=> @t12 @t15))) % 5.42/5.69 (define @t17 () (or @t16 @t14)) % 5.42/5.69 (define @t18 () (@var "V" $$unsorted)) % 5.42/5.69 (define @t19 () (tptp.q @t18)) % 5.42/5.69 (define @t20 () (tptp.reachable @t3 @t18)) % 5.42/5.69 (define @t21 () (@list @t18)) % 5.42/5.69 (define @t22 () (forall @t21 (=> @t20 @t19))) % 5.42/5.69 (define @t23 () (tptp.p @t3)) % 5.42/5.69 (define @t24 () (or @t23 @t22)) % 5.42/5.69 (define @t25 () (=> @t6 @t24)) % 5.42/5.69 (define @t26 () (@list @t3)) % 5.42/5.69 (define @t27 () (forall @t26 @t25)) % 5.42/5.69 (define @t28 () (= @t27 @t17)) % 5.42/5.69 (define @t29 () (=> @t7 @t28)) % 5.42/5.69 (define @t30 () (@list @t5)) % 5.42/5.69 (define @t31 () (forall @t30 @t29)) % 5.42/5.69 (define @t32 () (tptp.reachable tptp.initial_world @t1)) % 5.42/5.69 (define @t33 () (and @t32 @t31)) % 5.42/5.69 (define @t34 () (exists @t2 @t33)) % 5.42/5.69 (define @t35 () (not @t34)) % 5.42/5.69 (define @t36 () (not @t12)) % 5.42/5.69 (define @t37 () (@var "BOUND_VARIABLE_7470" $$unsorted)) % 5.42/5.69 (define @t38 () (tptp.q @t37)) % 5.42/5.69 (define @t39 () (not (tptp.reachable @t3 @t37))) % 5.42/5.69 (define @t40 () (not @t6)) % 5.42/5.69 (define @t41 () (or @t40 @t23 @t39 @t38)) % 5.42/5.69 (define @t42 () (@list @t3 @t37)) % 5.42/5.69 (define @t43 () (= (forall @t42 @t41) (or (forall @t13 (or @t36 @t15)) (forall @t13 (or @t36 @t11))))) % 5.42/5.69 (define @t44 () (forall @t30 (or (not (tptp.reachable tptp.initial_world @t5)) @t43))) % 5.42/5.69 (define @t45 () (@quantifiers_skolemize @t44 0)) % 5.42/5.69 (define @t46 () (forall @t30 (or (not (tptp.reachable @t45 @t5)) @t43))) % 5.42/5.69 (define @t47 () (@quantifiers_skolemize @t46 0)) % 5.42/5.69 (define @t48 () (not (tptp.reachable @t47 @t10))) % 5.42/5.69 (define @t49 () (forall @t13 (or @t48 @t15))) % 5.42/5.69 (define @t50 () (@quantifiers_skolemize @t49 0)) % 5.42/5.69 (define @t51 () (forall @t30 (or (not (tptp.reachable @t50 @t5)) @t43))) % 5.42/5.69 (define @t52 () (@quantifiers_skolemize @t51 0)) % 5.42/5.69 (define @t53 () (not (tptp.reachable @t52 @t10))) % 5.42/5.69 (define @t54 () (forall @t13 (or @t53 @t11))) % 5.42/5.69 (define @t55 () (@quantifiers_skolemize @t54 0)) % 5.42/5.69 (define @t56 () (tptp.reachable @t52 @t55)) % 5.42/5.69 (define @t57 () (tptp.q @t55)) % 5.42/5.69 (define @t58 () (not @t56)) % 5.42/5.69 (define @t59 () (or @t58 @t57)) % 5.42/5.69 (define @t60 () (not @t7)) % 5.42/5.69 (define @t61 () (forall @t30 (or @t60 @t43))) % 5.42/5.69 (define @t62 () (and @t32 @t61)) % 5.42/5.69 (define @t63 () (forall @t2 (not @t62))) % 5.42/5.69 (define @t64 () (not @t63)) % 5.42/5.69 (define @t65 () (or @t39 @t38)) % 5.42/5.69 (define @t66 () (or @t40 @t23 @t65)) % 5.42/5.69 (define @t67 () (forall @t42 @t66)) % 5.42/5.69 (define @t68 () (@list @t37)) % 5.42/5.69 (define @t69 () (forall @t68 @t66)) % 5.42/5.69 (define @t70 () (forall @t68 @t65)) % 5.42/5.69 (define @t71 () (or @t40 @t23 @t70)) % 5.42/5.69 (define @t72 () (forall @t21 (or (not @t20) @t19))) % 5.42/5.69 (define @t73 () (or @t40 @t23 @t72)) % 5.42/5.69 (define @t74 () (or @t23 @t72)) % 5.42/5.69 (define @t75 () (forall @t42 (or (not (tptp.reachable @t47 @t3)) @t23 @t39 @t38))) % 5.42/5.69 (define @t76 () (@quantifiers_skolemize @t75 0)) % 5.42/5.69 (define @t77 () (tptp.reachable @t47 @t76)) % 5.42/5.69 (define @t78 () (@quantifiers_skolemize @t75 1)) % 5.42/5.69 (define @t79 () (tptp.q @t78)) % 5.42/5.69 (define @t80 () (tptp.reachable @t76 @t78)) % 5.42/5.69 (define @t81 () (not @t80)) % 5.42/5.69 (define @t82 () (tptp.p @t76)) % 5.42/5.69 (define @t83 () (not @t77)) % 5.42/5.69 (define @t84 () (or @t83 @t82 @t81 @t79)) % 5.42/5.69 (define @t85 () (@list tptp.initial_world)) % 5.42/5.69 (define @t86 () (not @t44)) % 5.42/5.69 (define @t87 () (tptp.reachable tptp.initial_world tptp.initial_world)) % 5.42/5.69 (define @t88 () (not @t87)) % 5.42/5.69 (define @t89 () (or @t88 @t86)) % 5.42/5.69 (define @t90 () (@list false false)) % 5.42/5.69 (define @t91 () (tptp.reachable tptp.initial_world @t45)) % 5.42/5.69 (define @t92 () (not (tptp.reachable @t45 @t10))) % 5.42/5.69 (define @t93 () (forall @t13 (or @t92 @t11))) % 5.42/5.69 (define @t94 () (forall @t13 (or @t92 @t15))) % 5.42/5.69 (define @t95 () (or @t94 @t93)) % 5.42/5.69 (define @t96 () (forall @t42 (or (not (tptp.reachable @t45 @t3)) @t23 @t39 @t38))) % 5.42/5.69 (define @t97 () (= @t96 @t95)) % 5.42/5.69 (define @t98 () (not @t91)) % 5.42/5.69 (define @t99 () (or @t98 @t97)) % 5.42/5.69 (define @t100 () (@list true)) % 5.42/5.69 (define @t101 () (@list @t99)) % 5.42/5.69 (define @t102 () (not @t46)) % 5.42/5.69 (define @t103 () (or @t98 @t102)) % 5.42/5.69 (define @t104 () (tptp.reachable @t45 @t47)) % 5.42/5.69 (define @t105 () (or @t49 (forall @t13 (or @t48 @t11)))) % 5.42/5.69 (define @t106 () (= @t75 @t105)) % 5.42/5.69 (define @t107 () (not @t104)) % 5.42/5.69 (define @t108 () (or @t107 @t106)) % 5.42/5.69 (define @t109 () (@list @t108)) % 5.42/5.69 (define @t110 () (tptp.reachable @t45 @t76)) % 5.42/5.69 (define @t111 () (or @t107 @t83 @t110)) % 5.42/5.69 (define @t112 () (@quantifiers_skolemize @t96 1)) % 5.42/5.69 (define @t113 () (tptp.q @t112)) % 5.42/5.69 (define @t114 () (@quantifiers_skolemize @t96 0)) % 5.42/5.69 (define @t115 () (tptp.reachable @t114 @t112)) % 5.42/5.69 (define @t116 () (not @t115)) % 5.42/5.69 (define @t117 () (tptp.p @t114)) % 5.42/5.69 (define @t118 () (tptp.reachable @t45 @t114)) % 5.42/5.69 (define @t119 () (not @t118)) % 5.42/5.69 (define @t120 () (or @t119 @t117 @t116 @t113)) % 5.42/5.69 (define @t121 () (not @t120)) % 5.42/5.69 (define @t122 () (not @t96)) % 5.42/5.69 (define @t123 () (or @t119 @t117)) % 5.42/5.69 (define @t124 () (tptp.reachable @t45 @t112)) % 5.42/5.69 (define @t125 () (or @t119 @t116 @t124)) % 5.42/5.69 (define @t126 () (not @t124)) % 5.42/5.69 (define @t127 () (or @t126 @t113)) % 5.42/5.69 (define @t128 () (not @t110)) % 5.42/5.69 (define @t129 () (or @t128 @t82 @t81 @t79)) % 5.42/5.69 (define @t130 () (@list false)) % 5.42/5.69 (define @t131 () (@list @t96)) % 5.42/5.69 (define @t132 () (not @t84)) % 5.42/5.69 (define @t133 () (not @t75)) % 5.42/5.69 (define @t134 () (@list true false)) % 5.42/5.69 (define @t135 () (not @t49)) % 5.42/5.69 (define @t136 () (tptp.p @t50)) % 5.42/5.69 (define @t137 () (tptp.reachable @t47 @t50)) % 5.42/5.69 (define @t138 () (not @t137)) % 5.42/5.69 (define @t139 () (or @t138 @t136)) % 5.42/5.69 (define @t140 () (not @t139)) % 5.42/5.69 (define @t141 () (@list @t139)) % 5.42/5.69 (define @t142 () (tptp.reachable @t45 @t50)) % 5.42/5.69 (define @t143 () (or @t107 @t138 @t142)) % 5.42/5.69 (define @t144 () (@list false false false)) % 5.42/5.69 (define @t145 () (tptp.reachable tptp.initial_world @t50)) % 5.42/5.69 (define @t146 () (not @t142)) % 5.42/5.69 (define @t147 () (or @t98 @t146 @t145)) % 5.42/5.69 (define @t148 () (not @t51)) % 5.42/5.69 (define @t149 () (not @t145)) % 5.42/5.69 (define @t150 () (or @t149 @t148)) % 5.42/5.69 (define @t151 () (or (forall @t13 (or @t53 @t15)) @t54)) % 5.42/5.69 (define @t152 () (forall @t42 (or (not (tptp.reachable @t52 @t3)) @t23 @t39 @t38))) % 5.42/5.69 (define @t153 () (= @t152 @t151)) % 5.42/5.69 (define @t154 () (tptp.reachable @t50 @t52)) % 5.42/5.69 (define @t155 () (not @t154)) % 5.42/5.69 (define @t156 () (or @t155 @t153)) % 5.42/5.69 (define @t157 () (not @t156)) % 5.42/5.69 (define @t158 () (@list @t156)) % 5.42/5.69 (define @t159 () (tptp.reachable @t50 @t55)) % 5.42/5.69 (define @t160 () (or @t155 @t58 @t159)) % 5.42/5.69 (define @t161 () (not @t159)) % 5.42/5.69 (define @t162 () (or @t146 @t136 @t161 @t57)) % 5.42/5.69 (define @t163 () (not @t59)) % 5.42/5.69 (define @t164 () (not @t54)) % 5.42/5.69 (define @t165 () (not @t152)) % 5.42/5.69 (define @t166 () (@quantifiers_skolemize @t152 1)) % 5.42/5.69 (define @t167 () (tptp.q @t166)) % 5.42/5.69 (define @t168 () (@quantifiers_skolemize @t152 0)) % 5.42/5.69 (define @t169 () (tptp.reachable @t168 @t166)) % 5.42/5.69 (define @t170 () (not @t169)) % 5.42/5.69 (define @t171 () (tptp.p @t168)) % 5.42/5.69 (define @t172 () (tptp.reachable @t52 @t168)) % 5.42/5.69 (define @t173 () (not @t172)) % 5.42/5.69 (define @t174 () (or @t173 @t171 @t170 @t167)) % 5.42/5.69 (define @t175 () (not @t174)) % 5.42/5.69 (define @t176 () (@list @t174)) % 5.42/5.69 (define @t177 () (tptp.reachable @t47 @t168)) % 5.42/5.69 (define @t178 () (not @t177)) % 5.42/5.69 (define @t179 () (or @t178 @t171 @t170 @t167)) % 5.42/5.69 (define @t180 () (tptp.reachable @t47 @t52)) % 5.42/5.69 (define @t181 () (or @t138 @t155 @t180)) % 5.42/5.69 (define @t182 () (not @t180)) % 5.42/5.69 (define @t183 () (or @t182 @t173 @t177)) % 5.42/5.69 (assume @p1 (forall @t2 (tptp.reachable @t1 @t1))) % 5.42/5.69 (assume @p2 @t9) % 5.42/5.69 (assume @p3 @t35) % 5.42/5.69 (assume @p4 true) % 5.42/5.69 (step @p5 :rule bool-double-not-elim :args (@t56)) % 5.42/5.69 (step @p6 :rule refl :args (@t59)) % 5.42/5.69 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or @t59 (not @t58)))) % 5.42/5.69 (step @p8 :rule cnf_or_neg :args (@t59 0)) % 5.42/5.69 (step @p9 :rule eq_resolve :premises (@p8 @p7)) % 5.42/5.69 (step @p10 :rule reordering :premises (@p9) :args ((or @t56 @t59))) % 5.42/5.69 (step @p11 :rule cnf_or_neg :args (@t59 1)) % 5.42/5.69 (step @p12 :rule bool-double-not-elim :args ((forall @t2 (or (not @t32) (not @t61))))) % 5.42/5.69 (step @p13 :rule bool-and-de-morgan :args (@t32 @t61 true)) % 5.42/5.69 (step @p14 :rule cong :premises (@p13) :args (@t63)) % 5.42/5.69 (step @p15 :rule cong :premises (@p14) :args (@t64)) % 5.42/5.69 (step @p16 :rule exists-elim :args ((= (exists @t2 @t62) @t64))) % 5.42/5.69 (step @p17 :rule trans :premises (@p16 @p15)) % 5.42/5.69 (step @p18 :rule bool-impl-elim :args (@t7 @t43)) % 5.42/5.69 (step @p19 :rule cong :premises (@p18) :args ((forall @t30 (=> @t7 @t43)))) % 5.42/5.69 (step @p20 :rule bool-impl-elim :args (@t12 @t11)) % 5.42/5.69 (step @p21 :rule cong :premises (@p20) :args (@t14)) % 5.42/5.69 (step @p22 :rule bool-impl-elim :args (@t12 @t15)) % 5.42/5.69 (step @p23 :rule cong :premises (@p22) :args (@t16)) % 5.42/5.69 (step @p24 :rule nary_cong :premises (@p23 @p21) :args (@t17)) % 5.42/5.69 (step @p25 :rule aci_norm :args ((= @t66 @t41))) % 5.42/5.69 (step @p26 :rule cong :premises (@p25) :args (@t67)) % 5.42/5.69 (step @p27 :rule quant-merge-prenex :args ((= (forall @t26 @t69) @t67))) % 5.42/5.69 (step @p28 :rule alpha_equiv :args (@t70 (@list @t37) (@list @t18))) % 5.42/5.69 (step @p29 :rule refl :args (@t23)) % 5.42/5.69 (step @p30 :rule refl :args (@t40)) % 5.42/5.69 (step @p31 :rule nary_cong :premises (@p30 @p29 @p28) :args (@t71)) % 5.42/5.69 (step @p32 :rule quant-miniscope-or :args ((= @t69 @t71))) % 5.42/5.69 (step @p33 :rule trans :premises (@p32 @p31)) % 5.42/5.69 (step @p34 :rule symm :premises (@p33)) % 5.42/5.69 (step @p35 :rule cong :premises (@p34) :args ((forall @t26 @t73))) % 5.42/5.69 (step @p36 :rule trans :premises (@p35 @p27)) % 5.42/5.69 (step @p37 :rule trans :premises (@p36 @p26)) % 5.42/5.69 (step @p38 :rule aci_norm :args ((= (or @t40 @t74) @t73))) % 5.42/5.69 (step @p39 :rule bool-impl-elim :args (@t6 @t74)) % 5.42/5.69 (step @p40 :rule trans :premises (@p39 @p38)) % 5.42/5.69 (step @p41 :rule cong :premises (@p40) :args ((forall @t26 (=> @t6 @t74)))) % 5.42/5.69 (step @p42 :rule trans :premises (@p41 @p37)) % 5.42/5.69 (step @p43 :rule bool-impl-elim :args (@t20 @t19)) % 5.42/5.69 (step @p44 :rule cong :premises (@p43) :args (@t22)) % 5.42/5.69 (step @p45 :rule refl :args (@t23)) % 5.42/5.69 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t24)) % 5.42/5.69 (step @p47 :rule refl :args (@t6)) % 5.42/5.69 (step @p48 :rule cong :premises (@p47 @p46) :args (@t25)) % 5.42/5.69 (step @p49 :rule cong :premises (@p48) :args (@t27)) % 5.42/5.69 (step @p50 :rule trans :premises (@p49 @p42)) % 5.42/5.69 (step @p51 :rule cong :premises (@p50 @p24) :args (@t28)) % 5.42/5.69 (step @p52 :rule refl :args (@t7)) % 5.42/5.69 (step @p53 :rule cong :premises (@p52 @p51) :args (@t29)) % 5.42/5.69 (step @p54 :rule cong :premises (@p53) :args (@t31)) % 5.42/5.69 (step @p55 :rule trans :premises (@p54 @p19)) % 5.42/5.69 (step @p56 :rule refl :args (@t32)) % 5.42/5.69 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t33)) % 5.42/5.69 (step @p58 :rule cong :premises (@p57) :args (@t34)) % 5.42/5.69 (step @p59 :rule trans :premises (@p58 @p17)) % 5.42/5.69 (step @p60 :rule cong :premises (@p59) :args (@t35)) % 5.42/5.69 (step @p61 :rule trans :premises (@p60 @p12)) % 5.42/5.69 (step @p62 :rule eq_resolve :premises (@p3 @p61)) % 5.42/5.69 (step @p63 :rule instantiate :premises (@p62) :args ((@list @t50))) % 5.42/5.69 (step @p64 :rule aci_norm :args ((= (or (or @t60 @t40) @t4) (or @t60 @t40 @t4)))) % 5.42/5.69 (step @p65 :rule refl :args (@t4)) % 5.42/5.69 (step @p66 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 5.42/5.69 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t8) @t4))) % 5.42/5.69 (step @p68 :rule trans :premises (@p67 @p64)) % 5.42/5.69 (step @p69 :rule bool-impl-elim :args (@t8 @t4)) % 5.42/5.69 (step @p70 :rule trans :premises (@p69 @p68)) % 5.42/5.69 (step @p71 :rule cong :premises (@p70) :args (@t9)) % 5.42/5.69 (step @p72 :rule eq_resolve :premises (@p2 @p71)) % 5.42/5.69 (step @p73 :rule instantiate :premises (@p72) :args ((@list tptp.initial_world @t45 @t50))) % 5.42/5.69 (step @p74 :rule instantiate :premises (@p72) :args ((@list @t45 @t47 @t50))) % 5.42/5.69 (step @p75 :rule bool-double-not-elim :args (@t77)) % 5.42/5.69 (step @p76 :rule refl :args (@t84)) % 5.42/5.69 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t84 (not @t83)))) % 5.42/5.69 (step @p78 :rule cnf_or_neg :args (@t84 0)) % 5.42/5.69 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 5.42/5.69 (step @p80 :rule reordering :premises (@p79) :args ((or @t77 @t84))) % 5.42/5.69 (step @p81 :rule cnf_or_neg :args (@t84 1)) % 5.42/5.69 (step @p82 :rule bool-double-not-elim :args (@t80)) % 5.42/5.69 (step @p83 :rule nary_cong :premises (@p76 @p82) :args ((or @t84 (not @t81)))) % 5.42/5.69 (step @p84 :rule cnf_or_neg :args (@t84 2)) % 5.42/5.69 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 5.42/5.69 (step @p86 :rule reordering :premises (@p85) :args ((or @t80 @t84))) % 5.42/5.69 (step @p87 :rule cnf_or_neg :args (@t84 3)) % 5.42/5.69 (step @p88 :rule instantiate :premises (@p62) :args ((@list @t45))) % 5.42/5.69 (step @p89 :rule instantiate :premises (@p62) :args (@t85)) % 5.42/5.69 (step @p90 :rule instantiate :premises (@p1) :args (@t85)) % 5.42/5.69 (step @p91 :rule cnf_or_pos :args (@t89)) % 5.42/5.69 (step @p92 :rule reordering :premises (@p91) :args ((or @t88 @t86 (not @t89)))) % 5.42/5.69 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p89) :args (@t86 @t90 (@list @t87 @t89))) % 5.42/5.69 (step @p94 :rule skolemize :premises (@p93)) % 5.42/5.69 (step @p95 :rule bool-double-not-elim :args (@t91)) % 5.42/5.69 (step @p96 :rule refl :args (@t99)) % 5.42/5.69 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t99 (not @t98)))) % 5.42/5.69 (step @p98 :rule cnf_or_neg :args (@t99 0)) % 5.42/5.69 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 5.42/5.69 (step @p100 :rule reordering :premises (@p99) :args ((or @t91 @t99))) % 5.42/5.69 (step @p101 :rule chain_m_resolution :premises (@p100 @p94) :args (@t91 @t100 @t101)) % 5.42/5.69 (step @p102 :rule cnf_or_pos :args (@t103)) % 5.42/5.69 (step @p103 :rule reordering :premises (@p102) :args ((or @t98 @t102 (not @t103)))) % 5.42/5.69 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p88) :args (@t102 @t90 (@list @t91 @t103))) % 5.42/5.69 (step @p105 :rule skolemize :premises (@p104)) % 5.42/5.69 (step @p106 :rule bool-double-not-elim :args (@t104)) % 5.42/5.69 (step @p107 :rule refl :args (@t108)) % 5.42/5.69 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t108 (not @t107)))) % 5.42/5.69 (step @p109 :rule cnf_or_neg :args (@t108 0)) % 5.42/5.69 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 5.42/5.69 (step @p111 :rule reordering :premises (@p110) :args ((or @t104 @t108))) % 5.42/5.69 (step @p112 :rule chain_m_resolution :premises (@p111 @p105) :args (@t104 @t100 @t109)) % 5.42/5.69 (step @p113 :rule instantiate :premises (@p72) :args ((@list @t45 @t47 @t76))) % 5.42/5.69 (step @p114 :rule cnf_or_pos :args (@t111)) % 5.42/5.69 (step @p115 :rule reordering :premises (@p114) :args ((or @t107 @t83 @t110 (not @t111)))) % 5.42/5.69 (step @p116 :rule cnf_or_neg :args (@t99 1)) % 5.42/5.69 (step @p117 :rule chain_m_resolution :premises (@p116 @p94) :args ((not @t97) @t100 @t101)) % 5.42/5.69 (step @p118 :rule cnf_equiv_neg1 :args (@t97)) % 5.42/5.69 (step @p119 :rule reordering :premises (@p118) :args ((or @t96 @t95 @t97))) % 5.42/5.69 (step @p120 :rule refl :args (@t121)) % 5.42/5.69 (step @p121 :rule bool-double-not-elim :args (@t96)) % 5.42/5.69 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or (not @t122) @t121))) % 5.42/5.69 (assume-push @p304 @t122) % 5.42/5.69 (step @p124 :rule skolemize :premises (@p304)) % 5.42/5.69 (step-pop @p305 :rule scope :premises (@p124)) % 5.42/5.69 (step @p125 :rule process_scope :premises (@p305) :args (@t121)) % 5.42/5.69 (step @p127 :rule implies_elim :premises (@p125)) % 5.42/5.69 (step @p128 :rule eq_resolve :premises (@p127 @p122)) % 5.42/5.69 (step @p129 :rule bool-double-not-elim :args (@t118)) % 5.42/5.69 (step @p130 :rule refl :args (@t120)) % 5.42/5.69 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t120 (not @t119)))) % 5.42/5.69 (step @p132 :rule cnf_or_neg :args (@t120 0)) % 5.42/5.69 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 5.42/5.69 (step @p134 :rule reordering :premises (@p133) :args ((or @t118 @t120))) % 5.42/5.69 (step @p135 :rule cnf_or_neg :args (@t120 1)) % 5.42/5.69 (step @p136 :rule bool-double-not-elim :args (@t115)) % 5.42/5.69 (step @p137 :rule nary_cong :premises (@p130 @p136) :args ((or @t120 (not @t116)))) % 5.42/5.69 (step @p138 :rule cnf_or_neg :args (@t120 2)) % 5.42/5.69 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 5.42/5.69 (step @p140 :rule reordering :premises (@p139) :args ((or @t115 @t120))) % 5.42/5.69 (step @p141 :rule cnf_or_neg :args (@t120 3)) % 5.42/5.69 (step @p142 :rule cnf_or_pos :args (@t123)) % 5.42/5.69 (step @p143 :rule reordering :premises (@p142) :args ((or @t119 @t117 (not @t123)))) % 5.42/5.69 (step @p144 :rule instantiate :premises (@p72) :args ((@list @t45 @t114 @t112))) % 5.42/5.69 (step @p145 :rule cnf_or_pos :args (@t125)) % 5.42/5.69 (step @p146 :rule reordering :premises (@p145) :args ((or @t119 @t116 @t124 (not @t125)))) % 5.42/5.69 (assume-push @p306 @t94) % 5.42/5.69 (step @p148 :rule instantiate :premises (@p306) :args ((@list @t114))) % 5.42/5.69 (step-pop @p307 :rule scope :premises (@p148)) % 5.42/5.69 (step @p149 :rule process_scope :premises (@p307) :args (@t123)) % 5.42/5.69 (step @p151 :rule implies_elim :premises (@p149)) % 5.42/5.69 (step @p152 :rule cnf_or_pos :args (@t127)) % 5.42/5.69 (step @p153 :rule reordering :premises (@p152) :args ((or @t113 @t126 (not @t127)))) % 5.42/5.69 (step @p154 :rule cnf_or_pos :args (@t95)) % 5.42/5.69 (step @p155 :rule reordering :premises (@p154) :args ((or @t94 @t93 (not @t95)))) % 5.42/5.69 (assume-push @p308 @t93) % 5.42/5.69 (step @p157 :rule instantiate :premises (@p308) :args ((@list @t112))) % 5.42/5.69 (step-pop @p309 :rule scope :premises (@p157)) % 5.42/5.69 (step @p158 :rule process_scope :premises (@p309) :args (@t127)) % 5.42/5.69 (step @p160 :rule implies_elim :premises (@p158)) % 5.42/5.69 (step @p161 :rule chain_m_resolution :premises (@p160 @p155 @p153 @p151 @p146 @p144 @p143 @p141 @p140 @p135 @p134 @p128 @p119 @p117) :args (@t96 (@list false true true false false true true false true false true false true) (@list @t93 @t127 @t94 @t124 @t125 @t123 @t113 @t115 @t117 @t118 @t120 @t95 @t97))) % 5.42/5.69 (assume-push @p310 @t96) % 5.42/5.69 (step @p163 :rule instantiate :premises (@p310) :args ((@list @t76 @t78))) % 5.42/5.69 (step-pop @p311 :rule scope :premises (@p163)) % 5.42/5.69 (step @p164 :rule process_scope :premises (@p311) :args (@t129)) % 5.42/5.69 (step @p166 :rule implies_elim :premises (@p164)) % 5.42/5.69 (step @p167 :rule chain_m_resolution :premises (@p166 @p161) :args (@t129 @t130 @t131)) % 5.42/5.69 (step @p168 :rule cnf_or_pos :args (@t129)) % 5.42/5.69 (step @p169 :rule reordering :premises (@p168) :args ((or @t82 @t81 @t79 @t128 (not @t129)))) % 5.42/5.69 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p115 @p113 @p112 @p87 @p86 @p81 @p80) :args (@t84 (@list false false false false true false true false) (@list @t129 @t110 @t111 @t104 @t79 @t80 @t82 @t77))) % 5.42/5.69 (step @p171 :rule refl :args (@t132)) % 5.42/5.69 (step @p172 :rule bool-double-not-elim :args (@t75)) % 5.42/5.69 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or (not @t133) @t132))) % 5.42/5.69 (assume-push @p312 @t133) % 5.42/5.69 (step @p175 :rule skolemize :premises (@p312)) % 5.42/5.69 (step-pop @p313 :rule scope :premises (@p175)) % 5.42/5.69 (step @p176 :rule process_scope :premises (@p313) :args (@t132)) % 5.42/5.69 (step @p178 :rule implies_elim :premises (@p176)) % 5.42/5.69 (step @p179 :rule eq_resolve :premises (@p178 @p173)) % 5.42/5.69 (step @p180 :rule chain_m_resolution :premises (@p179 @p170) :args (@t75 @t130 (@list @t84))) % 5.42/5.69 (step @p181 :rule cnf_or_neg :args (@t108 1)) % 5.42/5.69 (step @p182 :rule chain_m_resolution :premises (@p181 @p105) :args ((not @t106) @t100 @t109)) % 5.42/5.69 (step @p183 :rule cnf_equiv_neg2 :args (@t106)) % 5.42/5.69 (step @p184 :rule chain_m_resolution :premises (@p183 @p182 @p180) :args ((not @t105) @t134 (@list @t106 @t75))) % 5.42/5.69 (step @p185 :rule cnf_or_neg :args (@t105 0)) % 5.42/5.69 (step @p186 :rule chain_m_resolution :premises (@p185 @p184) :args (@t135 @t100 (@list @t105))) % 5.42/5.69 (step @p187 :rule refl :args (@t140)) % 5.42/5.69 (step @p188 :rule bool-double-not-elim :args (@t49)) % 5.42/5.69 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or (not @t135) @t140))) % 5.42/5.69 (assume-push @p314 @t135) % 5.42/5.69 (step @p191 :rule skolemize :premises (@p314)) % 5.42/5.69 (step-pop @p315 :rule scope :premises (@p191)) % 5.42/5.69 (step @p192 :rule process_scope :premises (@p315) :args (@t140)) % 5.42/5.69 (step @p194 :rule implies_elim :premises (@p192)) % 5.42/5.69 (step @p195 :rule eq_resolve :premises (@p194 @p189)) % 5.42/5.69 (step @p196 :rule chain_m_resolution :premises (@p195 @p186) :args (@t140 @t100 (@list @t49))) % 5.42/5.69 (step @p197 :rule bool-double-not-elim :args (@t137)) % 5.42/5.69 (step @p198 :rule refl :args (@t139)) % 5.42/5.69 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or @t139 (not @t138)))) % 5.42/5.69 (step @p200 :rule cnf_or_neg :args (@t139 0)) % 5.42/5.69 (step @p201 :rule eq_resolve :premises (@p200 @p199)) % 5.42/5.69 (step @p202 :rule reordering :premises (@p201) :args ((or @t137 @t139))) % 5.42/5.69 (step @p203 :rule chain_m_resolution :premises (@p202 @p196) :args (@t137 @t100 @t141)) % 5.42/5.69 (step @p204 :rule cnf_or_pos :args (@t143)) % 5.42/5.69 (step @p205 :rule reordering :premises (@p204) :args ((or @t107 @t138 @t142 (not @t143)))) % 5.42/5.69 (step @p206 :rule chain_m_resolution :premises (@p205 @p112 @p203 @p74) :args (@t142 @t144 (@list @t104 @t137 @t143))) % 5.42/5.69 (step @p207 :rule cnf_or_pos :args (@t147)) % 5.42/5.69 (step @p208 :rule reordering :premises (@p207) :args ((or @t98 @t146 @t145 (not @t147)))) % 5.42/5.69 (step @p209 :rule chain_m_resolution :premises (@p208 @p101 @p206 @p73) :args (@t145 @t144 (@list @t91 @t142 @t147))) % 5.42/5.69 (step @p210 :rule cnf_or_pos :args (@t150)) % 5.42/5.69 (step @p211 :rule reordering :premises (@p210) :args ((or @t149 @t148 (not @t150)))) % 5.42/5.69 (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p63) :args (@t148 @t90 (@list @t145 @t150))) % 5.42/5.69 (step @p213 :rule refl :args (@t157)) % 5.42/5.69 (step @p214 :rule bool-double-not-elim :args (@t51)) % 5.42/5.69 (step @p215 :rule nary_cong :premises (@p214 @p213) :args ((or (not @t148) @t157))) % 5.42/5.69 (assume-push @p316 @t148) % 5.42/5.69 (step @p217 :rule skolemize :premises (@p316)) % 5.42/5.69 (step-pop @p317 :rule scope :premises (@p217)) % 5.42/5.69 (step @p218 :rule process_scope :premises (@p317) :args (@t157)) % 5.42/5.69 (step @p220 :rule implies_elim :premises (@p218)) % 5.42/5.69 (step @p221 :rule eq_resolve :premises (@p220 @p215)) % 5.42/5.69 (step @p222 :rule chain_m_resolution :premises (@p221 @p212) :args (@t157 @t100 (@list @t51))) % 5.42/5.69 (step @p223 :rule bool-double-not-elim :args (@t154)) % 5.42/5.69 (step @p224 :rule refl :args (@t156)) % 5.42/5.69 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t156 (not @t155)))) % 5.42/5.69 (step @p226 :rule cnf_or_neg :args (@t156 0)) % 5.42/5.69 (step @p227 :rule eq_resolve :premises (@p226 @p225)) % 5.42/5.69 (step @p228 :rule reordering :premises (@p227) :args ((or @t154 @t156))) % 5.42/5.69 (step @p229 :rule chain_m_resolution :premises (@p228 @p222) :args (@t154 @t100 @t158)) % 5.42/5.69 (step @p230 :rule instantiate :premises (@p72) :args ((@list @t50 @t52 @t55))) % 5.42/5.69 (step @p231 :rule cnf_or_pos :args (@t160)) % 5.42/5.69 (step @p232 :rule reordering :premises (@p231) :args ((or @t155 @t58 @t159 (not @t160)))) % 5.42/5.69 (step @p233 :rule cnf_or_neg :args (@t139 1)) % 5.42/5.69 (step @p234 :rule chain_m_resolution :premises (@p233 @p196) :args ((not @t136) @t100 @t141)) % 5.42/5.69 (assume-push @p318 @t96) % 5.42/5.69 (step @p236 :rule instantiate :premises (@p318) :args ((@list @t50 @t55))) % 5.42/5.69 (step-pop @p319 :rule scope :premises (@p236)) % 5.42/5.69 (step @p237 :rule process_scope :premises (@p319) :args (@t162)) % 5.42/5.69 (step @p239 :rule implies_elim :premises (@p237)) % 5.42/5.69 (step @p240 :rule chain_m_resolution :premises (@p239 @p161) :args (@t162 @t130 @t131)) % 5.42/5.69 (step @p241 :rule cnf_or_pos :args (@t162)) % 5.42/5.69 (step @p242 :rule reordering :premises (@p241) :args ((or @t136 @t146 @t57 @t161 (not @t162)))) % 5.42/5.69 (step @p243 :rule chain_m_resolution :premises (@p242 @p240 @p206 @p234 @p232 @p230 @p229 @p11 @p10) :args (@t59 (@list false false true false false false true false) (@list @t162 @t142 @t136 @t159 @t160 @t154 @t57 @t56))) % 5.42/5.69 (step @p244 :rule refl :args (@t163)) % 5.42/5.69 (step @p245 :rule bool-double-not-elim :args (@t54)) % 5.42/5.69 (step @p246 :rule nary_cong :premises (@p245 @p244) :args ((or (not @t164) @t163))) % 5.42/5.69 (assume-push @p320 @t164) % 5.42/5.69 (step @p248 :rule skolemize :premises (@p320)) % 5.42/5.69 (step-pop @p321 :rule scope :premises (@p248)) % 5.42/5.69 (step @p249 :rule process_scope :premises (@p321) :args (@t163)) % 5.42/5.69 (step @p251 :rule implies_elim :premises (@p249)) % 5.42/5.69 (step @p252 :rule eq_resolve :premises (@p251 @p246)) % 5.42/5.69 (step @p253 :rule chain_m_resolution :premises (@p252 @p243) :args (@t54 @t130 (@list @t59))) % 5.42/5.69 (step @p254 :rule cnf_or_neg :args (@t151 1)) % 5.42/5.69 (step @p255 :rule chain_m_resolution :premises (@p254 @p253) :args (@t151 @t130 (@list @t54))) % 5.42/5.69 (step @p256 :rule cnf_or_neg :args (@t156 1)) % 5.42/5.69 (step @p257 :rule chain_m_resolution :premises (@p256 @p222) :args ((not @t153) @t100 @t158)) % 5.42/5.69 (step @p258 :rule cnf_equiv_neg2 :args (@t153)) % 5.42/5.69 (step @p259 :rule chain_m_resolution :premises (@p258 @p257 @p255) :args (@t165 @t134 (@list @t153 @t151))) % 5.42/5.69 (step @p260 :rule refl :args (@t175)) % 5.42/5.69 (step @p261 :rule bool-double-not-elim :args (@t152)) % 5.42/5.69 (step @p262 :rule nary_cong :premises (@p261 @p260) :args ((or (not @t165) @t175))) % 5.42/5.69 (assume-push @p322 @t165) % 5.42/5.69 (step @p264 :rule skolemize :premises (@p322)) % 5.42/5.69 (step-pop @p323 :rule scope :premises (@p264)) % 5.42/5.69 (step @p265 :rule process_scope :premises (@p323) :args (@t175)) % 5.42/5.69 (step @p267 :rule implies_elim :premises (@p265)) % 5.42/5.69 (step @p268 :rule eq_resolve :premises (@p267 @p262)) % 5.42/5.69 (step @p269 :rule chain_m_resolution :premises (@p268 @p259) :args (@t175 @t100 (@list @t152))) % 5.42/5.69 (step @p270 :rule cnf_or_neg :args (@t174 1)) % 5.42/5.69 (step @p271 :rule chain_m_resolution :premises (@p270 @p269) :args ((not @t171) @t100 @t176)) % 5.42/5.69 (step @p272 :rule cnf_or_neg :args (@t174 3)) % 5.42/5.69 (step @p273 :rule chain_m_resolution :premises (@p272 @p269) :args ((not @t167) @t100 @t176)) % 5.42/5.69 (assume-push @p324 @t75) % 5.42/5.69 (step @p275 :rule instantiate :premises (@p324) :args ((@list @t168 @t166))) % 5.42/5.69 (step-pop @p325 :rule scope :premises (@p275)) % 5.42/5.69 (step @p276 :rule process_scope :premises (@p325) :args (@t179)) % 5.42/5.69 (step @p278 :rule implies_elim :premises (@p276)) % 5.42/5.69 (step @p279 :rule chain_m_resolution :premises (@p278 @p180) :args (@t179 @t130 (@list @t75))) % 0.34/5.71 (step @p280 :rule bool-double-not-elim :args (@t169)) % 0.34/5.71 (step @p281 :rule refl :args (@t174)) % 0.34/5.71 (step @p282 :rule nary_cong :premises (@p281 @p280) :args ((or @t174 (not @t170)))) % 0.34/5.71 (step @p283 :rule cnf_or_neg :args (@t174 2)) % 0.34/5.71 (step @p284 :rule eq_resolve :premises (@p283 @p282)) % 0.34/5.71 (step @p285 :rule reordering :premises (@p284) :args ((or @t169 @t174))) % 0.34/5.71 (step @p286 :rule chain_m_resolution :premises (@p285 @p269) :args (@t169 @t100 @t176)) % 0.34/5.71 (step @p287 :rule instantiate :premises (@p72) :args ((@list @t47 @t52 @t168))) % 0.34/5.71 (step @p288 :rule instantiate :premises (@p72) :args ((@list @t47 @t50 @t52))) % 0.34/5.71 (step @p289 :rule cnf_or_pos :args (@t181)) % 0.34/5.71 (step @p290 :rule reordering :premises (@p289) :args ((or @t138 @t155 @t180 (not @t181)))) % 0.34/5.71 (step @p291 :rule chain_m_resolution :premises (@p290 @p203 @p229 @p288) :args (@t180 @t144 (@list @t137 @t154 @t181))) % 0.34/5.71 (step @p292 :rule bool-double-not-elim :args (@t172)) % 0.34/5.71 (step @p293 :rule nary_cong :premises (@p281 @p292) :args ((or @t174 (not @t173)))) % 0.34/5.71 (step @p294 :rule cnf_or_neg :args (@t174 0)) % 0.34/5.71 (step @p295 :rule eq_resolve :premises (@p294 @p293)) % 0.34/5.71 (step @p296 :rule reordering :premises (@p295) :args ((or @t172 @t174))) % 0.34/5.71 (step @p297 :rule chain_m_resolution :premises (@p296 @p269) :args (@t172 @t100 @t176)) % 0.34/5.71 (step @p298 :rule cnf_or_pos :args (@t183)) % 0.34/5.71 (step @p299 :rule reordering :premises (@p298) :args ((or @t173 @t182 @t177 (not @t183)))) % 0.34/5.71 (step @p300 :rule chain_m_resolution :premises (@p299 @p297 @p291 @p287) :args (@t177 @t144 (@list @t172 @t180 @t183))) % 0.34/5.71 (step @p301 :rule cnf_or_pos :args (@t179)) % 0.34/5.71 (step @p302 :rule reordering :premises (@p301) :args ((or @t171 @t170 @t167 @t178 (not @t179)))) % 0.34/5.71 (step @p303 false :rule chain_m_resolution :premises (@p302 @p300 @p286 @p279 @p273 @p271) :args (false (@list false false false true true) (@list @t177 @t169 @t179 @t167 @t171))) % 0.34/5.71 ) % 0.34/5.71 % SZS output end Proof % 0.34/5.71 % cvc5 exiting %------------------------------------------------------------------------------