%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU020+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:50:28 AM UTC 2026 % Result : Theorem 0.36s 0.63s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU020+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:23:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.63 % SZS status Theorem % 0.36/0.63 % SZS output start Proof % 0.36/0.63 ( % 0.36/0.63 (declare-sort $$unsorted 0) % 0.36/0.63 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.function (-> $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.empty_set $$unsorted) % 0.36/0.63 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.36/0.63 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.63 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.63 (define @t3 () (tptp.in @t1 @t2)) % 0.36/0.63 (define @t4 () (@list @t1 @t2)) % 0.36/0.63 (define @t5 () (tptp.function @t1)) % 0.36/0.63 (define @t6 () (tptp.empty @t1)) % 0.36/0.63 (define @t7 () (@list @t1)) % 0.36/0.63 (define @t8 () (tptp.relation @t1)) % 0.36/0.63 (define @t9 () (tptp.relation_composition @t1 @t2)) % 0.36/0.63 (define @t10 () (tptp.relation @t9)) % 0.36/0.63 (define @t11 () (tptp.relation @t2)) % 0.36/0.63 (define @t12 () (tptp.identity_relation @t1)) % 0.36/0.63 (define @t13 () (tptp.relation @t12)) % 0.36/0.63 (define @t14 () (@list @t2)) % 0.36/0.63 (define @t15 () (tptp.relation_composition @t2 @t1)) % 0.36/0.63 (define @t16 () (and @t6 @t11)) % 0.36/0.63 (define @t17 () (tptp.relation tptp.empty_set)) % 0.36/0.63 (define @t18 () (tptp.empty tptp.empty_set)) % 0.36/0.63 (define @t19 () (tptp.function @t2)) % 0.36/0.63 (define @t20 () (tptp.powerset @t1)) % 0.36/0.63 (define @t21 () (tptp.relation_dom @t1)) % 0.36/0.63 (define @t22 () (tptp.empty @t21)) % 0.36/0.63 (define @t23 () (not @t6)) % 0.36/0.63 (define @t24 () (and @t23 @t8)) % 0.36/0.63 (define @t25 () (tptp.relation_rng @t1)) % 0.36/0.63 (define @t26 () (tptp.empty @t25)) % 0.36/0.63 (define @t27 () (and @t8 @t5)) % 0.36/0.63 (define @t28 () (tptp.empty @t2)) % 0.36/0.63 (define @t29 () (tptp.element @t2 @t20)) % 0.36/0.63 (define @t30 () (tptp.element @t1 @t2)) % 0.36/0.63 (define @t31 () (tptp.subset (tptp.relation_rng @t2) @t21)) % 0.36/0.63 (define @t32 () (= (tptp.relation_dom @t15) (tptp.relation_dom @t2))) % 0.36/0.63 (define @t33 () (=> @t32 @t31)) % 0.36/0.63 (define @t34 () (and @t11 @t19)) % 0.36/0.63 (define @t35 () (forall @t14 (=> @t34 @t33))) % 0.36/0.63 (define @t36 () (=> @t27 @t35)) % 0.36/0.63 (define @t37 () (forall @t7 @t36)) % 0.36/0.63 (define @t38 () (tptp.one_to_one @t2)) % 0.36/0.63 (define @t39 () (tptp.one_to_one @t15)) % 0.36/0.63 (define @t40 () (and @t39 @t31)) % 0.36/0.63 (define @t41 () (=> @t40 @t38)) % 0.36/0.63 (define @t42 () (forall @t14 (=> @t34 @t41))) % 0.36/0.63 (define @t43 () (=> @t27 @t42)) % 0.36/0.63 (define @t44 () (forall @t7 @t43)) % 0.36/0.63 (define @t45 () (@var "C" $$unsorted)) % 0.36/0.63 (define @t46 () (tptp.element @t2 (tptp.powerset @t45))) % 0.36/0.63 (define @t47 () (@list @t1 @t2 @t45)) % 0.36/0.63 (define @t48 () (tptp.one_to_one @t1)) % 0.36/0.63 (define @t49 () (tptp.identity_relation @t21)) % 0.36/0.63 (define @t50 () (= @t9 @t49)) % 0.36/0.63 (define @t51 () (and @t11 @t19 @t50)) % 0.36/0.63 (define @t52 () (exists @t14 @t51)) % 0.36/0.63 (define @t53 () (=> @t52 @t48)) % 0.36/0.63 (define @t54 () (=> @t27 @t53)) % 0.36/0.63 (define @t55 () (forall @t7 @t54)) % 0.36/0.63 (define @t56 () (not @t55)) % 0.36/0.63 (define @t57 () (tptp.relation_rng @t12)) % 0.36/0.63 (define @t58 () (tptp.relation_dom @t12)) % 0.36/0.63 (define @t59 () (and (= @t58 @t1) (= @t57 @t1))) % 0.36/0.63 (define @t60 () (forall @t7 @t59)) % 0.36/0.63 (define @t61 () (@var "BOUND_VARIABLE_7805" $$unsorted)) % 0.36/0.63 (define @t62 () (tptp.relation_composition @t1 @t61)) % 0.36/0.63 (define @t63 () (not (= @t62 @t49))) % 0.36/0.63 (define @t64 () (not (tptp.function @t61))) % 0.36/0.63 (define @t65 () (not (tptp.relation @t61))) % 0.36/0.63 (define @t66 () (not @t5)) % 0.36/0.63 (define @t67 () (not @t8)) % 0.36/0.63 (define @t68 () (or @t67 @t66 @t48 @t65 @t64 @t63)) % 0.36/0.63 (define @t69 () (or @t65 @t64 @t63)) % 0.36/0.63 (define @t70 () (or @t67 @t66 @t69 @t48)) % 0.36/0.63 (define @t71 () (@list @t1 @t61)) % 0.36/0.63 (define @t72 () (forall @t71 @t70)) % 0.36/0.63 (define @t73 () (@list @t61)) % 0.36/0.63 (define @t74 () (forall @t73 @t70)) % 0.36/0.63 (define @t75 () (forall @t73 @t69)) % 0.36/0.63 (define @t76 () (@list @t2)) % 0.36/0.63 (define @t77 () (or @t67 @t66 @t75 @t48)) % 0.36/0.63 (define @t78 () (not @t50)) % 0.36/0.63 (define @t79 () (not @t19)) % 0.36/0.63 (define @t80 () (not @t11)) % 0.36/0.63 (define @t81 () (or @t80 @t79 @t78)) % 0.36/0.63 (define @t82 () (forall @t14 @t81)) % 0.36/0.63 (define @t83 () (or @t67 @t66 @t82 @t48)) % 0.36/0.63 (define @t84 () (or @t67 @t66)) % 0.36/0.63 (define @t85 () (not @t82)) % 0.36/0.63 (define @t86 () (=> @t85 @t48)) % 0.36/0.63 (define @t87 () (not @t27)) % 0.36/0.63 (define @t88 () (forall @t14 (not @t51))) % 0.36/0.63 (define @t89 () (not @t88)) % 0.36/0.63 (define @t90 () (forall @t71 (or @t67 @t66 @t48 @t65 @t64 (not (= @t49 @t62))))) % 0.36/0.63 (define @t91 () (@quantifiers_skolemize @t90 0)) % 0.36/0.63 (define @t92 () (tptp.relation @t91)) % 0.36/0.63 (define @t93 () (@quantifiers_skolemize @t90 1)) % 0.36/0.63 (define @t94 () (tptp.relation_composition @t91 @t93)) % 0.36/0.63 (define @t95 () (tptp.relation_dom @t91)) % 0.36/0.63 (define @t96 () (tptp.identity_relation @t95)) % 0.36/0.63 (define @t97 () (= @t96 @t94)) % 0.36/0.63 (define @t98 () (not @t97)) % 0.36/0.63 (define @t99 () (tptp.function @t93)) % 0.36/0.63 (define @t100 () (not @t99)) % 0.36/0.63 (define @t101 () (tptp.relation @t93)) % 0.36/0.63 (define @t102 () (not @t101)) % 0.36/0.63 (define @t103 () (tptp.one_to_one @t91)) % 0.36/0.63 (define @t104 () (tptp.function @t91)) % 0.36/0.63 (define @t105 () (not @t104)) % 0.36/0.63 (define @t106 () (not @t92)) % 0.36/0.63 (define @t107 () (or @t106 @t105 @t103 @t102 @t100 @t98)) % 0.36/0.63 (define @t108 () (@list true)) % 0.36/0.63 (define @t109 () (@list @t107)) % 0.36/0.63 (define @t110 () (@var "BOUND_VARIABLE_7731" $$unsorted)) % 0.36/0.63 (define @t111 () (tptp.subset (tptp.relation_rng @t110) @t21)) % 0.36/0.63 (define @t112 () (not (= (tptp.relation_dom (tptp.relation_composition @t110 @t1)) (tptp.relation_dom @t110)))) % 0.36/0.63 (define @t113 () (not (tptp.function @t110))) % 0.36/0.63 (define @t114 () (not (tptp.relation @t110))) % 0.36/0.63 (define @t115 () (or @t67 @t66 @t114 @t113 @t112 @t111)) % 0.36/0.63 (define @t116 () (or @t114 @t113 @t112 @t111)) % 0.36/0.63 (define @t117 () (or @t67 @t66 @t116)) % 0.36/0.63 (define @t118 () (@list @t1 @t110)) % 0.36/0.63 (define @t119 () (forall @t118 @t117)) % 0.36/0.63 (define @t120 () (@list @t110)) % 0.36/0.63 (define @t121 () (forall @t120 @t117)) % 0.36/0.63 (define @t122 () (forall @t120 @t116)) % 0.36/0.63 (define @t123 () (or @t67 @t66 @t122)) % 0.36/0.63 (define @t124 () (not @t32)) % 0.36/0.63 (define @t125 () (or @t80 @t79 @t124 @t31)) % 0.36/0.63 (define @t126 () (forall @t14 @t125)) % 0.36/0.63 (define @t127 () (or @t67 @t66 @t126)) % 0.36/0.63 (define @t128 () (or @t80 @t79)) % 0.36/0.63 (define @t129 () (not @t34)) % 0.36/0.63 (define @t130 () (tptp.subset (tptp.relation_rng @t91) (tptp.relation_dom @t93))) % 0.36/0.63 (define @t131 () (tptp.relation_dom @t94)) % 0.36/0.63 (define @t132 () (not (= @t131 @t95))) % 0.36/0.63 (define @t133 () (or @t102 @t100 @t106 @t105 @t132 @t130)) % 0.36/0.63 (define @t134 () (forall @t118 @t115)) % 0.36/0.63 (define @t135 () (@list @t93 @t91)) % 0.36/0.63 (define @t136 () (= @t95 @t131)) % 0.36/0.63 (define @t137 () (not @t136)) % 0.36/0.63 (define @t138 () (or @t102 @t100 @t106 @t105 @t137 @t130)) % 0.36/0.63 (define @t139 () (= @t1 @t57)) % 0.36/0.63 (define @t140 () (forall @t7 @t139)) % 0.36/0.63 (define @t141 () (@list @t1)) % 0.36/0.63 (define @t142 () (= @t1 @t58)) % 0.36/0.63 (define @t143 () (forall @t7 @t142)) % 0.36/0.63 (define @t144 () (and @t143 @t140)) % 0.36/0.63 (define @t145 () (@list @t95)) % 0.36/0.63 (define @t146 () (@var "BOUND_VARIABLE_7766" $$unsorted)) % 0.36/0.63 (define @t147 () (tptp.one_to_one @t146)) % 0.36/0.63 (define @t148 () (not (tptp.subset (tptp.relation_rng @t146) @t21))) % 0.36/0.63 (define @t149 () (not (tptp.one_to_one (tptp.relation_composition @t146 @t1)))) % 0.36/0.63 (define @t150 () (not (tptp.function @t146))) % 0.36/0.63 (define @t151 () (not (tptp.relation @t146))) % 0.36/0.63 (define @t152 () (or @t151 @t150 @t149 @t148 @t147)) % 0.36/0.63 (define @t153 () (or @t67 @t66 @t152)) % 0.36/0.63 (define @t154 () (forall (@list @t1 @t146) @t153)) % 0.36/0.63 (define @t155 () (@list @t146)) % 0.36/0.63 (define @t156 () (forall @t155 @t153)) % 0.36/0.63 (define @t157 () (forall @t155 @t152)) % 0.36/0.63 (define @t158 () (or @t67 @t66 @t157)) % 0.36/0.63 (define @t159 () (not @t31)) % 0.36/0.63 (define @t160 () (not @t39)) % 0.36/0.63 (define @t161 () (or @t80 @t79 @t160 @t159 @t38)) % 0.36/0.63 (define @t162 () (forall @t14 @t161)) % 0.36/0.63 (define @t163 () (or @t67 @t66 @t162)) % 0.36/0.63 (define @t164 () (or @t160 @t159 @t38)) % 0.36/0.63 (define @t165 () (tptp.one_to_one @t94)) % 0.36/0.63 (define @t166 () (not @t130)) % 0.36/0.63 (define @t167 () (not @t165)) % 0.36/0.63 (define @t168 () (or @t102 @t100 @t106 @t105 @t167 @t166 @t103)) % 0.36/0.63 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.36/0.63 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.36/0.63 (assume @p3 (forall @t7 (=> @t6 @t8))) % 0.36/0.63 (assume @p4 (forall @t4 (=> (and @t8 @t11) @t10))) % 0.36/0.63 (assume @p5 (forall @t7 @t13)) % 0.36/0.63 (assume @p6 (forall @t7 (exists @t14 (tptp.element @t2 @t1)))) % 0.36/0.63 (assume @p7 (forall @t4 (=> @t16 (and (tptp.empty @t15) (tptp.relation @t15))))) % 0.36/0.63 (assume @p8 (and @t18 @t17 (tptp.relation_empty_yielding tptp.empty_set))) % 0.36/0.63 (assume @p9 (forall @t4 (=> (and @t8 @t5 @t11 @t19) (and @t10 (tptp.function @t9))))) % 0.36/0.63 (assume @p10 (forall @t7 (not (tptp.empty @t20)))) % 0.36/0.63 (assume @p11 @t18) % 0.36/0.63 (assume @p12 (forall @t7 (and @t13 (tptp.function @t12)))) % 0.36/0.63 (assume @p13 (and @t18 @t17)) % 0.36/0.63 (assume @p14 (forall @t7 (=> @t24 (not @t22)))) % 0.36/0.63 (assume @p15 (forall @t7 (=> @t24 (not @t26)))) % 0.36/0.63 (assume @p16 (forall @t7 (=> @t6 (and @t22 (tptp.relation @t21))))) % 0.36/0.63 (assume @p17 (forall @t7 (=> @t6 (and @t26 (tptp.relation @t25))))) % 0.36/0.63 (assume @p18 (forall @t4 (=> @t16 (and (tptp.empty @t9) @t10)))) % 0.36/0.63 (assume @p19 (exists @t7 @t27)) % 0.36/0.63 (assume @p20 (exists @t7 (and @t6 @t8))) % 0.36/0.63 (assume @p21 (forall @t7 (=> @t23 (exists @t14 (and @t29 (not @t28)))))) % 0.36/0.63 (assume @p22 (exists @t7 @t6)) % 0.36/0.63 (assume @p23 (exists @t7 @t24)) % 0.36/0.63 (assume @p24 (forall @t7 (exists @t14 (and @t29 @t28)))) % 0.36/0.63 (assume @p25 (exists @t7 @t23)) % 0.36/0.63 (assume @p26 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 0.36/0.63 (assume @p27 (forall @t4 (tptp.subset @t1 @t1))) % 0.36/0.63 (assume @p28 (forall @t4 (=> @t3 @t30))) % 0.36/0.63 (assume @p29 @t37) % 0.36/0.63 (assume @p30 (forall @t4 (=> @t30 (or @t28 @t3)))) % 0.36/0.63 (assume @p31 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.36/0.63 (assume @p32 @t44) % 0.36/0.63 (assume @p33 (forall @t47 (=> (and @t3 @t46) (tptp.element @t1 @t45)))) % 0.36/0.63 (assume @p34 (forall @t7 (tptp.one_to_one @t12))) % 0.36/0.63 (assume @p35 @t56) % 0.36/0.63 (assume @p36 (forall @t47 (not (and @t3 @t46 (tptp.empty @t45))))) % 0.36/0.63 (assume @p37 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.36/0.63 (assume @p38 @t60) % 0.36/0.63 (assume @p39 (forall @t4 (not (and @t3 @t28)))) % 0.36/0.63 (assume @p40 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t28)))) % 0.36/0.63 (assume @p41 true) % 0.36/0.63 (step @p42 :rule eq-symm :args (@t62 @t49)) % 0.36/0.63 (step @p43 :rule cong :premises (@p42) :args (@t63)) % 0.36/0.63 (step @p44 :rule refl :args (@t64)) % 0.36/0.63 (step @p45 :rule refl :args (@t65)) % 0.36/0.63 (step @p46 :rule refl :args (@t48)) % 0.36/0.63 (step @p47 :rule refl :args (@t66)) % 0.36/0.63 (step @p48 :rule refl :args (@t67)) % 0.36/0.63 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46 @p45 @p44 @p43) :args (@t68)) % 0.36/0.63 (step @p50 :rule aci_norm :args ((= @t70 @t68))) % 0.36/0.63 (step @p51 :rule trans :premises (@p50 @p49)) % 0.36/0.63 (step @p52 :rule cong :premises (@p51) :args (@t72)) % 0.36/0.63 (step @p53 :rule quant-merge-prenex :args ((= (forall @t7 @t74) @t72))) % 0.36/0.63 (step @p54 :rule refl :args (@t48)) % 0.36/0.63 (step @p55 :rule alpha_equiv :args (@t75 (@list @t61) @t76)) % 0.36/0.63 (step @p56 :rule refl :args (@t66)) % 0.36/0.63 (step @p57 :rule refl :args (@t67)) % 0.36/0.63 (step @p58 :rule nary_cong :premises (@p57 @p56 @p55 @p54) :args (@t77)) % 0.36/0.63 (step @p59 :rule quant-miniscope-or :args ((= @t74 @t77))) % 0.36/0.63 (step @p60 :rule trans :premises (@p59 @p58)) % 0.36/0.63 (step @p61 :rule symm :premises (@p60)) % 0.36/0.63 (step @p62 :rule cong :premises (@p61) :args ((forall @t7 @t83))) % 0.36/0.63 (step @p63 :rule trans :premises (@p62 @p53)) % 0.36/0.63 (step @p64 :rule trans :premises (@p63 @p52)) % 0.36/0.63 (step @p65 :rule aci_norm :args ((= (or @t84 (or @t82 @t48)) @t83))) % 0.36/0.63 (step @p66 :rule bool-double-not-elim :args (@t82)) % 0.36/0.63 (step @p67 :rule nary_cong :premises (@p66 @p54) :args ((or (not @t85) @t48))) % 0.36/0.63 (step @p68 :rule bool-impl-elim :args (@t85 @t48)) % 0.36/0.63 (step @p69 :rule trans :premises (@p68 @p67)) % 0.36/0.63 (step @p70 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 0.36/0.63 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t87 @t86))) % 0.36/0.63 (step @p72 :rule trans :premises (@p71 @p65)) % 0.36/0.63 (step @p73 :rule bool-impl-elim :args (@t27 @t86)) % 0.36/0.63 (step @p74 :rule trans :premises (@p73 @p72)) % 0.36/0.63 (step @p75 :rule cong :premises (@p74) :args ((forall @t7 (=> @t27 @t86)))) % 0.36/0.63 (step @p76 :rule trans :premises (@p75 @p64)) % 0.36/0.63 (step @p77 :rule aci_norm :args ((= (or @t80 (or @t79 @t78)) @t81))) % 0.36/0.63 (step @p78 :rule bool-and-de-morgan :args (@t19 @t50 true)) % 0.36/0.63 (step @p79 :rule refl :args (@t80)) % 0.36/0.63 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t80 (not (and @t19 @t50))))) % 0.36/0.63 (step @p81 :rule bool-and-de-morgan :args (@t11 @t19 (and @t50))) % 0.36/0.63 (step @p82 :rule trans :premises (@p81 @p80)) % 0.36/0.63 (step @p83 :rule trans :premises (@p82 @p77)) % 0.36/0.63 (step @p84 :rule cong :premises (@p83) :args (@t88)) % 0.36/0.63 (step @p85 :rule cong :premises (@p84) :args (@t89)) % 0.36/0.63 (step @p86 :rule exists-elim :args ((= @t52 @t89))) % 0.36/0.63 (step @p87 :rule trans :premises (@p86 @p85)) % 0.36/0.63 (step @p88 :rule cong :premises (@p87 @p46) :args (@t53)) % 0.36/0.63 (step @p89 :rule refl :args (@t27)) % 0.36/0.63 (step @p90 :rule cong :premises (@p89 @p88) :args (@t54)) % 0.36/0.63 (step @p91 :rule cong :premises (@p90) :args (@t55)) % 0.36/0.63 (step @p92 :rule trans :premises (@p91 @p76)) % 0.36/0.63 (step @p93 :rule cong :premises (@p92) :args (@t56)) % 0.36/0.63 (step @p94 :rule eq_resolve :premises (@p35 @p93)) % 0.36/0.63 (step @p95 :rule skolemize :premises (@p94)) % 0.36/0.63 (step @p96 :rule bool-double-not-elim :args (@t92)) % 0.36/0.63 (step @p97 :rule refl :args (@t107)) % 0.36/0.63 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t107 (not @t106)))) % 0.36/0.63 (step @p99 :rule cnf_or_neg :args (@t107 0)) % 0.36/0.63 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.36/0.63 (step @p101 :rule reordering :premises (@p100) :args ((or @t92 @t107))) % 0.36/0.63 (step @p102 :rule chain_m_resolution :premises (@p101 @p95) :args (@t92 @t108 @t109)) % 0.36/0.63 (step @p103 :rule bool-double-not-elim :args (@t104)) % 0.36/0.63 (step @p104 :rule nary_cong :premises (@p97 @p103) :args ((or @t107 (not @t105)))) % 0.36/0.63 (step @p105 :rule cnf_or_neg :args (@t107 1)) % 0.36/0.63 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.36/0.63 (step @p107 :rule reordering :premises (@p106) :args ((or @t104 @t107))) % 0.36/0.63 (step @p108 :rule chain_m_resolution :premises (@p107 @p95) :args (@t104 @t108 @t109)) % 0.36/0.63 (step @p109 :rule bool-double-not-elim :args (@t101)) % 0.36/0.63 (step @p110 :rule nary_cong :premises (@p97 @p109) :args ((or @t107 (not @t102)))) % 0.36/0.63 (step @p111 :rule cnf_or_neg :args (@t107 3)) % 0.36/0.63 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.36/0.63 (step @p113 :rule reordering :premises (@p112) :args ((or @t101 @t107))) % 0.36/0.63 (step @p114 :rule chain_m_resolution :premises (@p113 @p95) :args (@t101 @t108 @t109)) % 0.36/0.63 (step @p115 :rule bool-double-not-elim :args (@t99)) % 0.36/0.63 (step @p116 :rule nary_cong :premises (@p97 @p115) :args ((or @t107 (not @t100)))) % 0.36/0.63 (step @p117 :rule cnf_or_neg :args (@t107 4)) % 0.36/0.63 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 0.36/0.63 (step @p119 :rule reordering :premises (@p118) :args ((or @t99 @t107))) % 0.36/0.63 (step @p120 :rule chain_m_resolution :premises (@p119 @p95) :args (@t99 @t108 @t109)) % 0.36/0.63 (step @p121 :rule aci_norm :args ((= @t117 @t115))) % 0.36/0.63 (step @p122 :rule cong :premises (@p121) :args (@t119)) % 0.36/0.63 (step @p123 :rule quant-merge-prenex :args ((= (forall @t7 @t121) @t119))) % 0.36/0.63 (step @p124 :rule alpha_equiv :args (@t122 (@list @t110) @t76)) % 0.36/0.63 (step @p125 :rule nary_cong :premises (@p57 @p56 @p124) :args (@t123)) % 0.36/0.63 (step @p126 :rule quant-miniscope-or :args ((= @t121 @t123))) % 0.36/0.63 (step @p127 :rule trans :premises (@p126 @p125)) % 0.36/0.63 (step @p128 :rule symm :premises (@p127)) % 0.36/0.63 (step @p129 :rule cong :premises (@p128) :args ((forall @t7 @t127))) % 0.36/0.63 (step @p130 :rule trans :premises (@p129 @p123)) % 0.36/0.63 (step @p131 :rule trans :premises (@p130 @p122)) % 0.36/0.63 (step @p132 :rule aci_norm :args ((= (or @t84 @t126) @t127))) % 0.36/0.63 (step @p133 :rule refl :args (@t126)) % 0.36/0.63 (step @p134 :rule nary_cong :premises (@p70 @p133) :args ((or @t87 @t126))) % 0.36/0.63 (step @p135 :rule trans :premises (@p134 @p132)) % 0.36/0.63 (step @p136 :rule bool-impl-elim :args (@t27 @t126)) % 0.36/0.63 (step @p137 :rule trans :premises (@p136 @p135)) % 0.36/0.63 (step @p138 :rule cong :premises (@p137) :args ((forall @t7 (=> @t27 @t126)))) % 0.36/0.63 (step @p139 :rule trans :premises (@p138 @p131)) % 0.36/0.63 (step @p140 :rule aci_norm :args ((= (or @t128 (or @t124 @t31)) @t125))) % 0.36/0.63 (step @p141 :rule bool-impl-elim :args (@t32 @t31)) % 0.36/0.63 (step @p142 :rule bool-and-de-morgan :args (@t11 @t19 true)) % 0.36/0.63 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t129 @t33))) % 0.36/0.63 (step @p144 :rule trans :premises (@p143 @p140)) % 0.36/0.63 (step @p145 :rule bool-impl-elim :args (@t34 @t33)) % 0.36/0.63 (step @p146 :rule trans :premises (@p145 @p144)) % 0.36/0.63 (step @p147 :rule cong :premises (@p146) :args (@t35)) % 0.36/0.63 (step @p148 :rule cong :premises (@p89 @p147) :args (@t36)) % 0.36/0.63 (step @p149 :rule cong :premises (@p148) :args (@t37)) % 0.36/0.63 (step @p150 :rule trans :premises (@p149 @p139)) % 0.36/0.63 (step @p151 :rule eq_resolve :premises (@p29 @p150)) % 0.36/0.63 (step @p152 :rule refl :args (@t130)) % 0.36/0.63 (step @p153 :rule eq-symm :args (@t131 @t95)) % 0.36/0.63 (step @p154 :rule cong :premises (@p153) :args (@t132)) % 0.36/0.63 (step @p155 :rule refl :args (@t105)) % 0.36/0.63 (step @p156 :rule refl :args (@t106)) % 0.36/0.63 (step @p157 :rule refl :args (@t100)) % 0.36/0.63 (step @p158 :rule refl :args (@t102)) % 0.36/0.63 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156 @p155 @p154 @p152) :args (@t133)) % 0.36/0.63 (step @p160 :rule refl :args (@t134)) % 0.36/0.63 (step @p161 :rule cong :premises (@p160 @p159) :args ((=> @t134 @t133))) % 0.36/0.63 (assume-push @p241 @t134) % 0.36/0.63 (step @p163 :rule instantiate :premises (@p151) :args (@t135)) % 0.36/0.63 (step-pop @p242 :rule scope :premises (@p163)) % 0.36/0.63 (step @p164 :rule process_scope :premises (@p242) :args (@t133)) % 0.36/0.63 (step @p166 :rule eq_resolve :premises (@p164 @p161)) % 0.36/0.63 (step @p167 :rule implies_elim :premises (@p166)) % 0.36/0.63 (step @p168 :rule chain_m_resolution :premises (@p167 @p151) :args (@t138 (@list false) (@list @t134))) % 0.36/0.63 (step @p169 :rule bool-double-not-elim :args (@t97)) % 0.36/0.63 (step @p170 :rule nary_cong :premises (@p97 @p169) :args ((or @t107 (not @t98)))) % 0.36/0.63 (step @p171 :rule cnf_or_neg :args (@t107 5)) % 0.36/0.63 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 0.36/0.63 (step @p173 :rule reordering :premises (@p172) :args ((or @t97 @t107))) % 0.36/0.63 (step @p174 :rule chain_m_resolution :premises (@p173 @p95) :args (@t97 @t108 @t109)) % 0.36/0.63 (step @p175 :rule cong :premises (@p174) :args ((tptp.relation_dom @t96))) % 0.36/0.63 (step @p176 :rule alpha_equiv :args (@t140 @t141 (@list (@var "BOUND_VARIABLE_7843" $$unsorted)))) % 0.36/0.63 (step @p177 :rule alpha_equiv :args (@t143 @t141 (@list (@var "BOUND_VARIABLE_7836" $$unsorted)))) % 0.36/0.63 (step @p178 :rule nary_cong :premises (@p177 @p176) :args (@t144)) % 0.36/0.63 (step @p179 :rule quant-miniscope-and :args ((= (forall @t7 (and @t142 @t139)) @t144))) % 0.36/0.63 (step @p180 :rule trans :premises (@p179 @p178)) % 0.36/0.63 (step @p181 :rule eq-symm :args (@t57 @t1)) % 0.36/0.63 (step @p182 :rule eq-symm :args (@t58 @t1)) % 0.36/0.63 (step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t59)) % 0.36/0.63 (step @p184 :rule cong :premises (@p183) :args (@t60)) % 0.36/0.63 (step @p185 :rule trans :premises (@p184 @p180)) % 0.36/0.63 (step @p186 :rule eq_resolve :premises (@p38 @p185)) % 0.36/0.63 (step @p187 :rule and_elim :premises (@p186) :args (0)) % 0.36/0.63 (step @p188 :rule instantiate :premises (@p187) :args (@t145)) % 0.36/0.63 (step @p189 :rule trans :premises (@p188 @p175)) % 0.36/0.63 (step @p190 :rule aci_norm :args ((= @t153 (or @t67 @t66 @t151 @t150 @t149 @t148 @t147)))) % 0.36/0.63 (step @p191 :rule cong :premises (@p190) :args (@t154)) % 0.36/0.63 (step @p192 :rule quant-merge-prenex :args ((= (forall @t7 @t156) @t154))) % 0.36/0.63 (step @p193 :rule alpha_equiv :args (@t157 (@list @t146) @t76)) % 0.36/0.63 (step @p194 :rule nary_cong :premises (@p57 @p56 @p193) :args (@t158)) % 0.36/0.63 (step @p195 :rule quant-miniscope-or :args ((= @t156 @t158))) % 0.36/0.63 (step @p196 :rule trans :premises (@p195 @p194)) % 0.36/0.63 (step @p197 :rule symm :premises (@p196)) % 0.36/0.63 (step @p198 :rule cong :premises (@p197) :args ((forall @t7 @t163))) % 0.36/0.63 (step @p199 :rule trans :premises (@p198 @p192)) % 0.36/0.63 (step @p200 :rule trans :premises (@p199 @p191)) % 0.36/0.63 (step @p201 :rule aci_norm :args ((= (or @t84 @t162) @t163))) % 0.36/0.63 (step @p202 :rule refl :args (@t162)) % 0.36/0.63 (step @p203 :rule nary_cong :premises (@p70 @p202) :args ((or @t87 @t162))) % 0.36/0.63 (step @p204 :rule trans :premises (@p203 @p201)) % 0.36/0.63 (step @p205 :rule bool-impl-elim :args (@t27 @t162)) % 0.36/0.63 (step @p206 :rule trans :premises (@p205 @p204)) % 0.36/0.63 (step @p207 :rule cong :premises (@p206) :args ((forall @t7 (=> @t27 @t162)))) % 0.36/0.63 (step @p208 :rule trans :premises (@p207 @p200)) % 0.36/0.63 (step @p209 :rule aci_norm :args ((= (or @t128 @t164) @t161))) % 0.36/0.63 (step @p210 :rule aci_norm :args ((= (or (or @t160 @t159) @t38) @t164))) % 0.36/0.63 (step @p211 :rule refl :args (@t38)) % 0.36/0.63 (step @p212 :rule bool-and-de-morgan :args (@t39 @t31 true)) % 0.36/0.63 (step @p213 :rule nary_cong :premises (@p212 @p211) :args ((or (not @t40) @t38))) % 0.36/0.63 (step @p214 :rule trans :premises (@p213 @p210)) % 0.36/0.63 (step @p215 :rule bool-impl-elim :args (@t40 @t38)) % 0.36/0.63 (step @p216 :rule trans :premises (@p215 @p214)) % 0.36/0.63 (step @p217 :rule nary_cong :premises (@p142 @p216) :args ((or @t129 @t41))) % 0.36/0.63 (step @p218 :rule trans :premises (@p217 @p209)) % 0.36/0.63 (step @p219 :rule bool-impl-elim :args (@t34 @t41)) % 0.36/0.63 (step @p220 :rule trans :premises (@p219 @p218)) % 0.36/0.63 (step @p221 :rule cong :premises (@p220) :args (@t42)) % 0.36/0.63 (step @p222 :rule cong :premises (@p89 @p221) :args (@t43)) % 0.36/0.63 (step @p223 :rule cong :premises (@p222) :args (@t44)) % 0.36/0.63 (step @p224 :rule trans :premises (@p223 @p208)) % 0.36/0.63 (step @p225 :rule eq_resolve :premises (@p32 @p224)) % 0.36/0.63 (step @p226 :rule instantiate :premises (@p225) :args (@t135)) % 0.36/0.63 (step @p227 :rule instantiate :premises (@p34) :args (@t145)) % 0.36/0.63 (step @p228 :rule true_intro :premises (@p227)) % 0.36/0.63 (step @p229 :rule symm :premises (@p174)) % 0.36/0.63 (step @p230 :rule cong :premises (@p229) :args (@t165)) % 0.36/0.63 (step @p231 :rule trans :premises (@p230 @p228)) % 0.36/0.63 (step @p232 :rule true_elim :premises (@p231)) % 0.36/0.63 (step @p233 :rule cnf_or_neg :args (@t107 2)) % 0.36/0.63 (step @p234 :rule chain_m_resolution :premises (@p233 @p95) :args ((not @t103) @t108 @t109)) % 0.36/0.63 (step @p235 :rule cnf_or_pos :args (@t168)) % 0.36/0.63 (step @p236 :rule reordering :premises (@p235) :args ((or @t106 @t105 @t103 @t102 @t100 @t167 @t166 (not @t168)))) % 0.36/0.63 (step @p237 :rule chain_m_resolution :premises (@p236 @p102 @p108 @p234 @p114 @p120 @p232 @p226) :args (@t166 (@list false false true false false false false) (@list @t92 @t104 @t103 @t101 @t99 @t165 @t168))) % 0.36/0.63 (step @p238 :rule cnf_or_pos :args (@t138)) % 0.36/0.63 (step @p239 :rule reordering :premises (@p238) :args ((or @t106 @t105 @t102 @t100 @t130 @t137 (not @t138)))) % 0.36/0.63 (step @p240 false :rule chain_m_resolution :premises (@p239 @p237 @p189 @p168 @p120 @p114 @p108 @p102) :args (false (@list true false false false false false false) (@list @t130 @t136 @t138 @t99 @t101 @t104 @t92))) % 0.36/0.63 ) % 0.36/0.63 % SZS output end Proof % 0.36/0.63 % cvc5 exiting %------------------------------------------------------------------------------