%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU261+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:51:10 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU261+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.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 16:48:58 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.function (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.39/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.58 (define @t2 () (tptp.well_founded_relation @t1)) % 0.39/0.58 (define @t3 () (tptp.connected @t1)) % 0.39/0.58 (define @t4 () (tptp.antisymmetric @t1)) % 0.39/0.58 (define @t5 () (tptp.transitive @t1)) % 0.39/0.58 (define @t6 () (tptp.reflexive @t1)) % 0.39/0.58 (define @t7 () (tptp.well_ordering @t1)) % 0.39/0.58 (define @t8 () (= @t7 (and @t6 @t5 @t4 @t3 @t2))) % 0.39/0.58 (define @t9 () (tptp.relation @t1)) % 0.39/0.58 (define @t10 () (@list @t1)) % 0.39/0.58 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.39/0.58 (define @t12 () (@var "B" $$unsorted)) % 0.39/0.58 (define @t13 () (tptp.well_founded_relation @t12)) % 0.39/0.58 (define @t14 () (tptp.antisymmetric @t12)) % 0.39/0.58 (define @t15 () (tptp.connected @t12)) % 0.39/0.58 (define @t16 () (tptp.transitive @t12)) % 0.39/0.58 (define @t17 () (tptp.reflexive @t12)) % 0.39/0.58 (define @t18 () (and (=> @t6 @t17) (=> @t5 @t16) (=> @t3 @t15) (=> @t4 @t14) (=> @t2 @t13))) % 0.39/0.58 (define @t19 () (@var "C" $$unsorted)) % 0.39/0.58 (define @t20 () (tptp.relation_isomorphism @t1 @t12 @t19)) % 0.39/0.58 (define @t21 () (=> @t20 @t18)) % 0.39/0.58 (define @t22 () (tptp.function @t19)) % 0.39/0.58 (define @t23 () (tptp.relation @t19)) % 0.39/0.58 (define @t24 () (and @t23 @t22)) % 0.39/0.58 (define @t25 () (@list @t19)) % 0.39/0.58 (define @t26 () (forall @t25 (=> @t24 @t21))) % 0.39/0.58 (define @t27 () (tptp.relation @t12)) % 0.39/0.58 (define @t28 () (=> @t27 @t26)) % 0.39/0.58 (define @t29 () (@list @t12)) % 0.39/0.58 (define @t30 () (forall @t29 @t28)) % 0.39/0.58 (define @t31 () (=> @t9 @t30)) % 0.39/0.58 (define @t32 () (forall @t10 @t31)) % 0.39/0.58 (define @t33 () (tptp.well_ordering @t12)) % 0.39/0.58 (define @t34 () (and @t7 @t20)) % 0.39/0.58 (define @t35 () (=> @t34 @t33)) % 0.39/0.58 (define @t36 () (forall @t25 (=> @t24 @t35))) % 0.39/0.58 (define @t37 () (=> @t27 @t36)) % 0.39/0.58 (define @t38 () (forall @t29 @t37)) % 0.39/0.58 (define @t39 () (=> @t9 @t38)) % 0.39/0.58 (define @t40 () (forall @t10 @t39)) % 0.39/0.58 (define @t41 () (not @t40)) % 0.39/0.58 (define @t42 () (@var "BOUND_VARIABLE_7593" $$unsorted)) % 0.39/0.58 (define @t43 () (@var "BOUND_VARIABLE_7591" $$unsorted)) % 0.39/0.58 (define @t44 () (not (tptp.relation_isomorphism @t1 @t43 @t42))) % 0.39/0.58 (define @t45 () (not (tptp.function @t42))) % 0.39/0.58 (define @t46 () (not (tptp.relation @t42))) % 0.39/0.58 (define @t47 () (tptp.well_ordering @t43)) % 0.39/0.58 (define @t48 () (not (tptp.relation @t43))) % 0.39/0.58 (define @t49 () (not @t7)) % 0.39/0.58 (define @t50 () (not @t9)) % 0.39/0.58 (define @t51 () (or @t50 @t49 @t48 @t47 @t46 @t45 @t44)) % 0.39/0.58 (define @t52 () (@list @t1 @t43 @t42)) % 0.39/0.58 (define @t53 () (forall @t52 @t51)) % 0.39/0.58 (define @t54 () (@quantifiers_skolemize @t53 1)) % 0.39/0.58 (define @t55 () (or @t48 @t47 @t46 @t45 @t44)) % 0.39/0.58 (define @t56 () (or @t50 @t49 @t55)) % 0.39/0.58 (define @t57 () (forall @t52 @t56)) % 0.39/0.58 (define @t58 () (@list @t43 @t42)) % 0.39/0.58 (define @t59 () (forall @t58 @t56)) % 0.39/0.58 (define @t60 () (forall @t58 @t55)) % 0.39/0.58 (define @t61 () (@var "BOUND_VARIABLE_7572" $$unsorted)) % 0.39/0.58 (define @t62 () (or @t50 @t49 @t60)) % 0.39/0.58 (define @t63 () (not (tptp.relation_isomorphism @t1 @t12 @t61))) % 0.39/0.58 (define @t64 () (not (tptp.function @t61))) % 0.39/0.58 (define @t65 () (not (tptp.relation @t61))) % 0.39/0.58 (define @t66 () (not @t27)) % 0.39/0.58 (define @t67 () (or @t66 @t33 @t65 @t64 @t63)) % 0.39/0.58 (define @t68 () (@list @t12 @t61)) % 0.39/0.58 (define @t69 () (forall @t68 @t67)) % 0.39/0.58 (define @t70 () (or @t50 @t49 @t69)) % 0.39/0.58 (define @t71 () (or @t49 @t69)) % 0.39/0.58 (define @t72 () (or @t65 @t64 @t63)) % 0.39/0.58 (define @t73 () (or @t66 @t33 @t72)) % 0.39/0.58 (define @t74 () (forall @t68 @t73)) % 0.39/0.58 (define @t75 () (@list @t61)) % 0.39/0.58 (define @t76 () (forall @t75 @t73)) % 0.39/0.58 (define @t77 () (forall @t75 @t72)) % 0.39/0.58 (define @t78 () (@list @t19)) % 0.39/0.58 (define @t79 () (or @t66 @t33 @t77)) % 0.39/0.58 (define @t80 () (not @t20)) % 0.39/0.58 (define @t81 () (not @t22)) % 0.39/0.58 (define @t82 () (not @t23)) % 0.39/0.58 (define @t83 () (or @t82 @t81 @t80)) % 0.39/0.58 (define @t84 () (forall @t25 @t83)) % 0.39/0.58 (define @t85 () (or @t66 @t33 @t84)) % 0.39/0.58 (define @t86 () (forall @t29 @t85)) % 0.39/0.58 (define @t87 () (or @t49 @t86)) % 0.39/0.58 (define @t88 () (or @t49 @t85)) % 0.39/0.58 (define @t89 () (or @t66 @t49 @t33 @t84)) % 0.39/0.58 (define @t90 () (or @t49 @t33 @t84)) % 0.39/0.58 (define @t91 () (or @t49 @t33 @t83)) % 0.39/0.58 (define @t92 () (or @t82 @t81 @t49 @t80 @t33)) % 0.39/0.58 (define @t93 () (or @t49 @t80 @t33)) % 0.39/0.58 (define @t94 () (or @t82 @t81)) % 0.39/0.58 (define @t95 () (not @t24)) % 0.39/0.58 (define @t96 () (tptp.relation @t54)) % 0.39/0.58 (define @t97 () (@quantifiers_skolemize @t53 2)) % 0.39/0.58 (define @t98 () (@quantifiers_skolemize @t53 0)) % 0.39/0.58 (define @t99 () (tptp.relation_isomorphism @t98 @t54 @t97)) % 0.39/0.58 (define @t100 () (not @t99)) % 0.39/0.58 (define @t101 () (tptp.function @t97)) % 0.39/0.58 (define @t102 () (not @t101)) % 0.39/0.58 (define @t103 () (tptp.relation @t97)) % 0.39/0.58 (define @t104 () (not @t103)) % 0.39/0.58 (define @t105 () (tptp.well_ordering @t54)) % 0.39/0.58 (define @t106 () (not @t96)) % 0.39/0.58 (define @t107 () (tptp.well_ordering @t98)) % 0.39/0.58 (define @t108 () (not @t107)) % 0.39/0.58 (define @t109 () (tptp.relation @t98)) % 0.39/0.58 (define @t110 () (not @t109)) % 0.39/0.58 (define @t111 () (or @t110 @t108 @t106 @t105 @t104 @t102 @t100)) % 0.39/0.58 (define @t112 () (@list true)) % 0.39/0.58 (define @t113 () (@list @t111)) % 0.39/0.58 (define @t114 () (tptp.well_founded_relation @t54)) % 0.39/0.58 (define @t115 () (tptp.connected @t54)) % 0.39/0.58 (define @t116 () (tptp.antisymmetric @t54)) % 0.39/0.58 (define @t117 () (tptp.transitive @t54)) % 0.39/0.58 (define @t118 () (tptp.reflexive @t54)) % 0.39/0.58 (define @t119 () (and @t118 @t117 @t116 @t115 @t114)) % 0.39/0.58 (define @t120 () (= @t105 @t119)) % 0.39/0.58 (define @t121 () (or @t106 @t120)) % 0.39/0.58 (define @t122 () (@list false false)) % 0.39/0.58 (define @t123 () (not @t119)) % 0.39/0.58 (define @t124 () (@var "BOUND_VARIABLE_7530" $$unsorted)) % 0.39/0.58 (define @t125 () (@var "BOUND_VARIABLE_7528" $$unsorted)) % 0.39/0.58 (define @t126 () (not (tptp.relation_isomorphism @t1 @t125 @t124))) % 0.39/0.58 (define @t127 () (not (tptp.function @t124))) % 0.39/0.58 (define @t128 () (not (tptp.relation @t124))) % 0.39/0.58 (define @t129 () (not @t2)) % 0.39/0.58 (define @t130 () (not @t4)) % 0.39/0.58 (define @t131 () (not @t3)) % 0.39/0.58 (define @t132 () (not @t5)) % 0.39/0.58 (define @t133 () (not @t6)) % 0.39/0.58 (define @t134 () (and (or @t133 (tptp.reflexive @t125)) (or @t132 (tptp.transitive @t125)) (or @t131 (tptp.connected @t125)) (or @t130 (tptp.antisymmetric @t125)) (or @t129 (tptp.well_founded_relation @t125)))) % 0.39/0.58 (define @t135 () (not (tptp.relation @t125))) % 0.39/0.58 (define @t136 () (or @t135 @t134 @t128 @t127 @t126)) % 0.39/0.58 (define @t137 () (or @t50 @t136)) % 0.39/0.58 (define @t138 () (forall (@list @t1 @t125 @t124) @t137)) % 0.39/0.58 (define @t139 () (@list @t125 @t124)) % 0.39/0.58 (define @t140 () (forall @t139 @t137)) % 0.39/0.58 (define @t141 () (forall @t139 @t136)) % 0.39/0.58 (define @t142 () (@var "BOUND_VARIABLE_7510" $$unsorted)) % 0.39/0.58 (define @t143 () (or @t50 @t141)) % 0.39/0.58 (define @t144 () (not (tptp.relation_isomorphism @t1 @t12 @t142))) % 0.39/0.58 (define @t145 () (not (tptp.function @t142))) % 0.39/0.58 (define @t146 () (not (tptp.relation @t142))) % 0.39/0.58 (define @t147 () (and (or @t133 @t17) (or @t132 @t16) (or @t131 @t15) (or @t130 @t14) (or @t129 @t13))) % 0.39/0.58 (define @t148 () (or @t66 @t147 @t146 @t145 @t144)) % 0.39/0.58 (define @t149 () (@list @t12 @t142)) % 0.39/0.58 (define @t150 () (forall @t149 @t148)) % 0.39/0.58 (define @t151 () (or @t146 @t145 @t144)) % 0.39/0.58 (define @t152 () (or @t66 @t147 @t151)) % 0.39/0.58 (define @t153 () (forall @t149 @t152)) % 0.39/0.58 (define @t154 () (@list @t142)) % 0.39/0.58 (define @t155 () (forall @t154 @t152)) % 0.39/0.58 (define @t156 () (forall @t154 @t151)) % 0.39/0.58 (define @t157 () (or @t66 @t147 @t156)) % 0.39/0.58 (define @t158 () (or @t66 @t147 @t84)) % 0.39/0.58 (define @t159 () (or @t147 @t84)) % 0.39/0.58 (define @t160 () (or @t147 @t83)) % 0.39/0.58 (define @t161 () (or @t82 @t81 @t80 @t147)) % 0.39/0.58 (define @t162 () (tptp.well_founded_relation @t98)) % 0.39/0.58 (define @t163 () (not @t162)) % 0.39/0.58 (define @t164 () (or @t163 @t114)) % 0.39/0.58 (define @t165 () (tptp.antisymmetric @t98)) % 0.39/0.58 (define @t166 () (not @t165)) % 0.39/0.58 (define @t167 () (or @t166 @t116)) % 0.39/0.58 (define @t168 () (tptp.connected @t98)) % 0.39/0.58 (define @t169 () (not @t168)) % 0.39/0.58 (define @t170 () (or @t169 @t115)) % 0.39/0.58 (define @t171 () (tptp.transitive @t98)) % 0.39/0.58 (define @t172 () (not @t171)) % 0.39/0.58 (define @t173 () (or @t172 @t117)) % 0.39/0.58 (define @t174 () (tptp.reflexive @t98)) % 0.39/0.58 (define @t175 () (not @t174)) % 0.39/0.58 (define @t176 () (or @t175 @t118)) % 0.39/0.58 (define @t177 () (and @t176 @t173 @t170 @t167 @t164)) % 0.39/0.58 (define @t178 () (or @t110 @t106 @t177 @t104 @t102 @t100)) % 0.39/0.58 (define @t179 () (not @t177)) % 0.39/0.58 (define @t180 () (@list false)) % 0.39/0.58 (define @t181 () (@list @t177)) % 0.39/0.58 (define @t182 () (and @t174 @t171 @t165 @t168 @t162)) % 0.39/0.58 (define @t183 () (= @t107 @t182)) % 0.39/0.58 (define @t184 () (or @t110 @t183)) % 0.39/0.58 (define @t185 () (not @t182)) % 0.39/0.58 (define @t186 () (@list @t182)) % 0.39/0.58 (assume @p1 @t11) % 0.39/0.58 (assume @p2 (exists @t10 (and @t9 (tptp.function @t1)))) % 0.39/0.58 (assume @p3 @t32) % 0.39/0.58 (assume @p4 @t41) % 0.39/0.58 (assume @p5 true) % 0.39/0.58 (step @p6 :rule bool-impl-elim :args (@t9 @t8)) % 0.39/0.58 (step @p7 :rule cong :premises (@p6) :args (@t11)) % 0.39/0.58 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.39/0.58 (step @p9 :rule instantiate :premises (@p8) :args ((@list @t54))) % 0.39/0.58 (step @p10 :rule aci_norm :args ((= @t56 @t51))) % 0.39/0.58 (step @p11 :rule cong :premises (@p10) :args (@t57)) % 0.39/0.58 (step @p12 :rule quant-merge-prenex :args ((= (forall @t10 @t59) @t57))) % 0.39/0.58 (step @p13 :rule alpha_equiv :args (@t60 (@list @t43 @t42) (@list @t12 @t61))) % 0.39/0.58 (step @p14 :rule refl :args (@t49)) % 0.39/0.58 (step @p15 :rule refl :args (@t50)) % 0.39/0.58 (step @p16 :rule nary_cong :premises (@p15 @p14 @p13) :args (@t62)) % 0.39/0.58 (step @p17 :rule quant-miniscope-or :args ((= @t59 @t62))) % 0.39/0.58 (step @p18 :rule trans :premises (@p17 @p16)) % 0.39/0.58 (step @p19 :rule symm :premises (@p18)) % 0.39/0.58 (step @p20 :rule cong :premises (@p19) :args ((forall @t10 @t70))) % 0.39/0.58 (step @p21 :rule trans :premises (@p20 @p12)) % 0.39/0.58 (step @p22 :rule trans :premises (@p21 @p11)) % 0.39/0.58 (step @p23 :rule aci_norm :args ((= (or @t50 @t71) @t70))) % 0.39/0.58 (step @p24 :rule bool-impl-elim :args (@t9 @t71)) % 0.39/0.58 (step @p25 :rule trans :premises (@p24 @p23)) % 0.39/0.58 (step @p26 :rule cong :premises (@p25) :args ((forall @t10 (=> @t9 @t71)))) % 0.39/0.58 (step @p27 :rule trans :premises (@p26 @p22)) % 0.39/0.58 (step @p28 :rule aci_norm :args ((= @t73 @t67))) % 0.39/0.58 (step @p29 :rule cong :premises (@p28) :args (@t74)) % 0.39/0.58 (step @p30 :rule quant-merge-prenex :args ((= (forall @t29 @t76) @t74))) % 0.39/0.58 (step @p31 :rule alpha_equiv :args (@t77 (@list @t61) @t78)) % 0.39/0.58 (step @p32 :rule refl :args (@t33)) % 0.39/0.58 (step @p33 :rule refl :args (@t66)) % 0.39/0.58 (step @p34 :rule nary_cong :premises (@p33 @p32 @p31) :args (@t79)) % 0.39/0.58 (step @p35 :rule quant-miniscope-or :args ((= @t76 @t79))) % 0.39/0.58 (step @p36 :rule trans :premises (@p35 @p34)) % 0.39/0.58 (step @p37 :rule symm :premises (@p36)) % 0.39/0.58 (step @p38 :rule cong :premises (@p37) :args (@t86)) % 0.39/0.58 (step @p39 :rule trans :premises (@p38 @p30)) % 0.39/0.58 (step @p40 :rule trans :premises (@p39 @p29)) % 0.39/0.58 (step @p41 :rule refl :args (@t49)) % 0.39/0.58 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t87)) % 0.39/0.58 (step @p43 :rule quant-miniscope-or :args ((= (forall @t29 @t88) @t87))) % 0.39/0.58 (step @p44 :rule aci_norm :args ((= @t89 @t88))) % 0.39/0.58 (step @p45 :rule cong :premises (@p44) :args ((forall @t29 @t89))) % 0.39/0.58 (step @p46 :rule trans :premises (@p45 @p43)) % 0.39/0.58 (step @p47 :rule trans :premises (@p46 @p42)) % 0.39/0.58 (step @p48 :rule aci_norm :args ((= (or @t66 @t90) @t89))) % 0.39/0.58 (step @p49 :rule bool-impl-elim :args (@t27 @t90)) % 0.39/0.58 (step @p50 :rule trans :premises (@p49 @p48)) % 0.39/0.58 (step @p51 :rule cong :premises (@p50) :args ((forall @t29 (=> @t27 @t90)))) % 0.39/0.58 (step @p52 :rule trans :premises (@p51 @p47)) % 0.39/0.58 (step @p53 :rule quant-miniscope-or :args ((= (forall @t25 @t91) @t90))) % 0.39/0.58 (step @p54 :rule aci_norm :args ((= @t92 @t91))) % 0.39/0.58 (step @p55 :rule cong :premises (@p54) :args ((forall @t25 @t92))) % 0.39/0.58 (step @p56 :rule trans :premises (@p55 @p53)) % 0.39/0.58 (step @p57 :rule aci_norm :args ((= (or @t94 @t93) @t92))) % 0.39/0.58 (step @p58 :rule aci_norm :args ((= (or (or @t49 @t80) @t33) @t93))) % 0.39/0.58 (step @p59 :rule bool-and-de-morgan :args (@t7 @t20 true)) % 0.39/0.58 (step @p60 :rule nary_cong :premises (@p59 @p32) :args ((or (not @t34) @t33))) % 0.39/0.58 (step @p61 :rule trans :premises (@p60 @p58)) % 0.39/0.58 (step @p62 :rule bool-impl-elim :args (@t34 @t33)) % 0.39/0.58 (step @p63 :rule trans :premises (@p62 @p61)) % 0.39/0.58 (step @p64 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.39/0.58 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t95 @t35))) % 0.39/0.58 (step @p66 :rule trans :premises (@p65 @p57)) % 0.39/0.58 (step @p67 :rule bool-impl-elim :args (@t24 @t35)) % 0.39/0.58 (step @p68 :rule trans :premises (@p67 @p66)) % 0.39/0.58 (step @p69 :rule cong :premises (@p68) :args (@t36)) % 0.39/0.58 (step @p70 :rule trans :premises (@p69 @p56)) % 0.39/0.58 (step @p71 :rule refl :args (@t27)) % 0.39/0.58 (step @p72 :rule cong :premises (@p71 @p70) :args (@t37)) % 0.39/0.58 (step @p73 :rule cong :premises (@p72) :args (@t38)) % 0.39/0.58 (step @p74 :rule trans :premises (@p73 @p52)) % 0.39/0.58 (step @p75 :rule refl :args (@t9)) % 0.39/0.58 (step @p76 :rule cong :premises (@p75 @p74) :args (@t39)) % 0.39/0.58 (step @p77 :rule cong :premises (@p76) :args (@t40)) % 0.39/0.58 (step @p78 :rule trans :premises (@p77 @p27)) % 0.39/0.58 (step @p79 :rule cong :premises (@p78) :args (@t41)) % 0.39/0.58 (step @p80 :rule eq_resolve :premises (@p4 @p79)) % 0.39/0.58 (step @p81 :rule skolemize :premises (@p80)) % 0.39/0.58 (step @p82 :rule bool-double-not-elim :args (@t96)) % 0.39/0.58 (step @p83 :rule refl :args (@t111)) % 0.39/0.58 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t111 (not @t106)))) % 0.39/0.58 (step @p85 :rule cnf_or_neg :args (@t111 2)) % 0.39/0.58 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.39/0.58 (step @p87 :rule reordering :premises (@p86) :args ((or @t96 @t111))) % 0.39/0.58 (step @p88 :rule chain_m_resolution :premises (@p87 @p81) :args (@t96 @t112 @t113)) % 0.39/0.58 (step @p89 :rule cnf_or_pos :args (@t121)) % 0.39/0.58 (step @p90 :rule reordering :premises (@p89) :args ((or @t106 @t120 (not @t121)))) % 0.39/0.58 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p9) :args (@t120 @t122 (@list @t96 @t121))) % 0.39/0.58 (step @p92 :rule cnf_or_neg :args (@t111 3)) % 0.39/0.58 (step @p93 :rule chain_m_resolution :premises (@p92 @p81) :args ((not @t105) @t112 @t113)) % 0.39/0.58 (step @p94 :rule cnf_equiv_pos2 :args (@t120)) % 0.39/0.58 (step @p95 :rule reordering :premises (@p94) :args ((or @t105 @t123 (not @t120)))) % 0.39/0.58 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p91) :args (@t123 (@list true false) (@list @t105 @t120))) % 0.39/0.58 (step @p97 :rule aci_norm :args ((= @t137 (or @t50 @t135 @t134 @t128 @t127 @t126)))) % 0.39/0.58 (step @p98 :rule cong :premises (@p97) :args (@t138)) % 0.39/0.58 (step @p99 :rule quant-merge-prenex :args ((= (forall @t10 @t140) @t138))) % 0.39/0.58 (step @p100 :rule alpha_equiv :args (@t141 (@list @t125 @t124) (@list @t12 @t142))) % 0.39/0.58 (step @p101 :rule nary_cong :premises (@p15 @p100) :args (@t143)) % 0.39/0.58 (step @p102 :rule quant-miniscope-or :args ((= @t140 @t143))) % 0.39/0.58 (step @p103 :rule trans :premises (@p102 @p101)) % 0.39/0.58 (step @p104 :rule symm :premises (@p103)) % 0.39/0.58 (step @p105 :rule cong :premises (@p104) :args ((forall @t10 (or @t50 @t150)))) % 0.39/0.58 (step @p106 :rule trans :premises (@p105 @p99)) % 0.39/0.58 (step @p107 :rule trans :premises (@p106 @p98)) % 0.39/0.58 (step @p108 :rule bool-impl-elim :args (@t9 @t150)) % 0.39/0.58 (step @p109 :rule cong :premises (@p108) :args ((forall @t10 (=> @t9 @t150)))) % 0.39/0.58 (step @p110 :rule trans :premises (@p109 @p107)) % 0.39/0.58 (step @p111 :rule aci_norm :args ((= @t152 @t148))) % 0.39/0.58 (step @p112 :rule cong :premises (@p111) :args (@t153)) % 0.39/0.58 (step @p113 :rule quant-merge-prenex :args ((= (forall @t29 @t155) @t153))) % 0.39/0.58 (step @p114 :rule alpha_equiv :args (@t156 (@list @t142) @t78)) % 0.39/0.58 (step @p115 :rule refl :args (@t147)) % 0.39/0.58 (step @p116 :rule nary_cong :premises (@p33 @p115 @p114) :args (@t157)) % 0.39/0.58 (step @p117 :rule quant-miniscope-or :args ((= @t155 @t157))) % 0.39/0.58 (step @p118 :rule trans :premises (@p117 @p116)) % 0.39/0.58 (step @p119 :rule symm :premises (@p118)) % 0.39/0.58 (step @p120 :rule cong :premises (@p119) :args ((forall @t29 @t158))) % 0.39/0.58 (step @p121 :rule trans :premises (@p120 @p113)) % 0.39/0.58 (step @p122 :rule trans :premises (@p121 @p112)) % 0.39/0.58 (step @p123 :rule aci_norm :args ((= (or @t66 @t159) @t158))) % 0.39/0.58 (step @p124 :rule bool-impl-elim :args (@t27 @t159)) % 0.39/0.58 (step @p125 :rule trans :premises (@p124 @p123)) % 0.39/0.58 (step @p126 :rule cong :premises (@p125) :args ((forall @t29 (=> @t27 @t159)))) % 0.39/0.58 (step @p127 :rule trans :premises (@p126 @p122)) % 0.39/0.58 (step @p128 :rule quant-miniscope-or :args ((= (forall @t25 @t160) @t159))) % 0.39/0.58 (step @p129 :rule aci_norm :args ((= @t161 @t160))) % 0.39/0.58 (step @p130 :rule cong :premises (@p129) :args ((forall @t25 @t161))) % 0.39/0.58 (step @p131 :rule trans :premises (@p130 @p128)) % 0.39/0.58 (step @p132 :rule aci_norm :args ((= (or @t94 (or @t80 @t147)) @t161))) % 0.39/0.58 (step @p133 :rule bool-impl-elim :args (@t2 @t13)) % 0.39/0.58 (step @p134 :rule bool-impl-elim :args (@t4 @t14)) % 0.39/0.58 (step @p135 :rule bool-impl-elim :args (@t3 @t15)) % 0.39/0.58 (step @p136 :rule bool-impl-elim :args (@t5 @t16)) % 0.39/0.58 (step @p137 :rule bool-impl-elim :args (@t6 @t17)) % 0.39/0.58 (step @p138 :rule nary_cong :premises (@p137 @p136 @p135 @p134 @p133) :args (@t18)) % 0.39/0.58 (step @p139 :rule refl :args (@t80)) % 0.39/0.58 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t80 @t18))) % 0.39/0.58 (step @p141 :rule bool-impl-elim :args (@t20 @t18)) % 0.39/0.58 (step @p142 :rule trans :premises (@p141 @p140)) % 0.39/0.58 (step @p143 :rule nary_cong :premises (@p64 @p142) :args ((or @t95 @t21))) % 0.39/0.58 (step @p144 :rule trans :premises (@p143 @p132)) % 0.39/0.58 (step @p145 :rule bool-impl-elim :args (@t24 @t21)) % 0.39/0.58 (step @p146 :rule trans :premises (@p145 @p144)) % 0.39/0.58 (step @p147 :rule cong :premises (@p146) :args (@t26)) % 0.39/0.58 (step @p148 :rule trans :premises (@p147 @p131)) % 0.39/0.58 (step @p149 :rule cong :premises (@p71 @p148) :args (@t28)) % 0.39/0.58 (step @p150 :rule cong :premises (@p149) :args (@t30)) % 0.39/0.58 (step @p151 :rule trans :premises (@p150 @p127)) % 0.39/0.58 (step @p152 :rule cong :premises (@p75 @p151) :args (@t31)) % 0.39/0.58 (step @p153 :rule cong :premises (@p152) :args (@t32)) % 0.39/0.58 (step @p154 :rule trans :premises (@p153 @p110)) % 0.39/0.58 (step @p155 :rule eq_resolve :premises (@p3 @p154)) % 0.39/0.58 (step @p156 :rule instantiate :premises (@p155) :args ((@list @t98 @t54 @t97))) % 0.39/0.58 (step @p157 :rule bool-double-not-elim :args (@t99)) % 0.39/0.58 (step @p158 :rule nary_cong :premises (@p83 @p157) :args ((or @t111 (not @t100)))) % 0.39/0.58 (step @p159 :rule cnf_or_neg :args (@t111 6)) % 0.39/0.58 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 0.39/0.58 (step @p161 :rule reordering :premises (@p160) :args ((or @t99 @t111))) % 0.39/0.58 (step @p162 :rule chain_m_resolution :premises (@p161 @p81) :args (@t99 @t112 @t113)) % 0.39/0.58 (step @p163 :rule bool-double-not-elim :args (@t101)) % 0.39/0.58 (step @p164 :rule nary_cong :premises (@p83 @p163) :args ((or @t111 (not @t102)))) % 0.39/0.58 (step @p165 :rule cnf_or_neg :args (@t111 5)) % 0.39/0.58 (step @p166 :rule eq_resolve :premises (@p165 @p164)) % 0.39/0.58 (step @p167 :rule reordering :premises (@p166) :args ((or @t101 @t111))) % 0.39/0.58 (step @p168 :rule chain_m_resolution :premises (@p167 @p81) :args (@t101 @t112 @t113)) % 0.39/0.58 (step @p169 :rule bool-double-not-elim :args (@t103)) % 0.39/0.58 (step @p170 :rule nary_cong :premises (@p83 @p169) :args ((or @t111 (not @t104)))) % 0.39/0.58 (step @p171 :rule cnf_or_neg :args (@t111 4)) % 0.39/0.58 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 0.39/0.58 (step @p173 :rule reordering :premises (@p172) :args ((or @t103 @t111))) % 0.39/0.58 (step @p174 :rule chain_m_resolution :premises (@p173 @p81) :args (@t103 @t112 @t113)) % 0.39/0.58 (step @p175 :rule bool-double-not-elim :args (@t109)) % 0.39/0.58 (step @p176 :rule nary_cong :premises (@p83 @p175) :args ((or @t111 (not @t110)))) % 0.39/0.58 (step @p177 :rule cnf_or_neg :args (@t111 0)) % 0.39/0.58 (step @p178 :rule eq_resolve :premises (@p177 @p176)) % 0.39/0.58 (step @p179 :rule reordering :premises (@p178) :args ((or @t109 @t111))) % 0.39/0.58 (step @p180 :rule chain_m_resolution :premises (@p179 @p81) :args (@t109 @t112 @t113)) % 0.39/0.58 (step @p181 :rule cnf_or_pos :args (@t178)) % 0.39/0.58 (step @p182 :rule reordering :premises (@p181) :args ((or @t110 @t106 @t104 @t102 @t100 @t177 (not @t178)))) % 0.39/0.58 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p88 @p174 @p168 @p162 @p156) :args (@t177 (@list false false false false false false) (@list @t109 @t96 @t103 @t101 @t99 @t178))) % 0.39/0.58 (step @p184 :rule cnf_and_pos :args (@t177 4)) % 0.39/0.58 (step @p185 :rule reordering :premises (@p184) :args ((or @t164 @t179))) % 0.39/0.58 (step @p186 :rule chain_m_resolution :premises (@p185 @p183) :args (@t164 @t180 @t181)) % 0.39/0.58 (step @p187 :rule instantiate :premises (@p8) :args ((@list @t98))) % 0.39/0.58 (step @p188 :rule cnf_or_pos :args (@t184)) % 0.39/0.58 (step @p189 :rule reordering :premises (@p188) :args ((or @t110 @t183 (not @t184)))) % 0.39/0.58 (step @p190 :rule chain_m_resolution :premises (@p189 @p180 @p187) :args (@t183 @t122 (@list @t109 @t184))) % 0.39/0.58 (step @p191 :rule bool-double-not-elim :args (@t107)) % 0.39/0.58 (step @p192 :rule nary_cong :premises (@p83 @p191) :args ((or @t111 (not @t108)))) % 0.39/0.58 (step @p193 :rule cnf_or_neg :args (@t111 1)) % 0.39/0.58 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.39/0.58 (step @p195 :rule reordering :premises (@p194) :args ((or @t107 @t111))) % 0.39/0.58 (step @p196 :rule chain_m_resolution :premises (@p195 @p81) :args (@t107 @t112 @t113)) % 0.39/0.58 (step @p197 :rule cnf_equiv_pos1 :args (@t183)) % 0.39/0.58 (step @p198 :rule reordering :premises (@p197) :args ((or @t108 @t182 (not @t183)))) % 0.39/0.58 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p190) :args (@t182 @t122 (@list @t107 @t183))) % 0.39/0.58 (step @p200 :rule cnf_and_pos :args (@t182 4)) % 0.39/0.58 (step @p201 :rule reordering :premises (@p200) :args ((or @t162 @t185))) % 0.39/0.58 (step @p202 :rule chain_m_resolution :premises (@p201 @p199) :args (@t162 @t180 @t186)) % 0.39/0.58 (step @p203 :rule cnf_or_pos :args (@t164)) % 0.39/0.58 (step @p204 :rule reordering :premises (@p203) :args ((or @t114 @t163 (not @t164)))) % 0.39/0.58 (step @p205 :rule chain_m_resolution :premises (@p204 @p202 @p186) :args (@t114 @t122 (@list @t162 @t164))) % 0.39/0.58 (step @p206 :rule cnf_and_pos :args (@t177 2)) % 0.39/0.58 (step @p207 :rule reordering :premises (@p206) :args ((or @t170 @t179))) % 0.39/0.58 (step @p208 :rule chain_m_resolution :premises (@p207 @p183) :args (@t170 @t180 @t181)) % 0.39/0.58 (step @p209 :rule cnf_and_pos :args (@t182 3)) % 0.39/0.58 (step @p210 :rule reordering :premises (@p209) :args ((or @t168 @t185))) % 0.39/0.58 (step @p211 :rule chain_m_resolution :premises (@p210 @p199) :args (@t168 @t180 @t186)) % 0.39/0.58 (step @p212 :rule cnf_or_pos :args (@t170)) % 0.39/0.58 (step @p213 :rule reordering :premises (@p212) :args ((or @t115 @t169 (not @t170)))) % 0.39/0.58 (step @p214 :rule chain_m_resolution :premises (@p213 @p211 @p208) :args (@t115 @t122 (@list @t168 @t170))) % 0.39/0.58 (step @p215 :rule cnf_and_pos :args (@t177 3)) % 0.39/0.58 (step @p216 :rule reordering :premises (@p215) :args ((or @t167 @t179))) % 0.39/0.58 (step @p217 :rule chain_m_resolution :premises (@p216 @p183) :args (@t167 @t180 @t181)) % 0.39/0.58 (step @p218 :rule cnf_and_pos :args (@t182 2)) % 0.39/0.58 (step @p219 :rule reordering :premises (@p218) :args ((or @t165 @t185))) % 0.39/0.58 (step @p220 :rule chain_m_resolution :premises (@p219 @p199) :args (@t165 @t180 @t186)) % 0.39/0.58 (step @p221 :rule cnf_or_pos :args (@t167)) % 0.39/0.58 (step @p222 :rule reordering :premises (@p221) :args ((or @t116 @t166 (not @t167)))) % 0.39/0.58 (step @p223 :rule chain_m_resolution :premises (@p222 @p220 @p217) :args (@t116 @t122 (@list @t165 @t167))) % 0.39/0.58 (step @p224 :rule cnf_and_pos :args (@t177 0)) % 0.39/0.58 (step @p225 :rule reordering :premises (@p224) :args ((or @t176 @t179))) % 0.39/0.58 (step @p226 :rule chain_m_resolution :premises (@p225 @p183) :args (@t176 @t180 @t181)) % 0.39/0.58 (step @p227 :rule cnf_and_pos :args (@t182 0)) % 0.39/0.58 (step @p228 :rule reordering :premises (@p227) :args ((or @t174 @t185))) % 0.39/0.58 (step @p229 :rule chain_m_resolution :premises (@p228 @p199) :args (@t174 @t180 @t186)) % 0.39/0.58 (step @p230 :rule cnf_or_pos :args (@t176)) % 0.39/0.58 (step @p231 :rule reordering :premises (@p230) :args ((or @t118 @t175 (not @t176)))) % 0.39/0.58 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p226) :args (@t118 @t122 (@list @t174 @t176))) % 0.39/0.58 (step @p233 :rule cnf_and_pos :args (@t177 1)) % 0.39/0.58 (step @p234 :rule reordering :premises (@p233) :args ((or @t173 @t179))) % 0.39/0.58 (step @p235 :rule chain_m_resolution :premises (@p234 @p183) :args (@t173 @t180 @t181)) % 0.39/0.58 (step @p236 :rule cnf_and_pos :args (@t182 1)) % 0.39/0.58 (step @p237 :rule reordering :premises (@p236) :args ((or @t171 @t185))) % 0.39/0.58 (step @p238 :rule chain_m_resolution :premises (@p237 @p199) :args (@t171 @t180 @t186)) % 0.39/0.58 (step @p239 :rule cnf_or_pos :args (@t173)) % 0.39/0.58 (step @p240 :rule reordering :premises (@p239) :args ((or @t117 @t172 (not @t173)))) % 0.39/0.58 (step @p241 :rule chain_m_resolution :premises (@p240 @p238 @p235) :args (@t117 @t122 (@list @t171 @t173))) % 0.39/0.58 (step @p242 :rule cnf_and_neg :args (@t119)) % 0.39/0.58 (step @p243 false :rule chain_m_resolution :premises (@p242 @p241 @p232 @p223 @p214 @p205 @p96) :args (false (@list false false false false false true) (@list @t117 @t118 @t116 @t115 @t114 @t119))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------