%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU055+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:50:31 AM UTC 2026 % Result : Theorem 0.82s 1.11s % Output : Proof 0.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU055+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.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 16:25:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.82/1.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.82/1.11 % SZS status Theorem % 0.82/1.11 % SZS output start Proof % 0.82/1.11 ( % 0.82/1.11 (declare-sort $$unsorted 0) % 0.82/1.11 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.82/1.11 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.82/1.11 (declare-const tptp.function (-> $$unsorted Bool)) % 0.82/1.11 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.82/1.11 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.82/1.11 (declare-const tptp.empty_set $$unsorted) % 0.82/1.11 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.82/1.11 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.82/1.11 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.82/1.11 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.82/1.11 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.82/1.11 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.82/1.11 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.82/1.11 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.82/1.11 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.82/1.11 (define @t1 () (@var "A" $$unsorted)) % 0.82/1.11 (define @t2 () (@var "B" $$unsorted)) % 0.82/1.11 (define @t3 () (tptp.in @t1 @t2)) % 0.82/1.11 (define @t4 () (@list @t1 @t2)) % 0.82/1.11 (define @t5 () (tptp.function @t1)) % 0.82/1.11 (define @t6 () (tptp.empty @t1)) % 0.82/1.11 (define @t7 () (@list @t1)) % 0.82/1.11 (define @t8 () (tptp.relation @t1)) % 0.82/1.11 (define @t9 () (tptp.one_to_one @t1)) % 0.82/1.11 (define @t10 () (and @t8 @t5 @t9)) % 0.82/1.11 (define @t11 () (and @t8 @t6 @t5)) % 0.82/1.11 (define @t12 () (@var "C" $$unsorted)) % 0.82/1.11 (define @t13 () (tptp.singleton @t1)) % 0.82/1.11 (define @t14 () (= @t2 @t12)) % 0.82/1.11 (define @t15 () (= (tptp.apply @t1 @t2) (tptp.apply @t1 @t12))) % 0.82/1.11 (define @t16 () (tptp.relation_dom @t1)) % 0.82/1.11 (define @t17 () (tptp.in @t12 @t16)) % 0.82/1.11 (define @t18 () (tptp.in @t2 @t16)) % 0.82/1.11 (define @t19 () (and @t18 @t17 @t15)) % 0.82/1.11 (define @t20 () (@list @t2 @t12)) % 0.82/1.11 (define @t21 () (forall @t20 (=> @t19 @t14))) % 0.82/1.11 (define @t22 () (= @t9 @t21)) % 0.82/1.11 (define @t23 () (and @t8 @t5)) % 0.82/1.11 (define @t24 () (=> @t23 @t22)) % 0.82/1.11 (define @t25 () (forall @t7 @t24)) % 0.82/1.11 (define @t26 () (@list @t2)) % 0.82/1.11 (define @t27 () (tptp.relation tptp.empty_set)) % 0.82/1.11 (define @t28 () (tptp.empty tptp.empty_set)) % 0.82/1.11 (define @t29 () (tptp.powerset @t1)) % 0.82/1.11 (define @t30 () (tptp.set_difference @t1 @t2)) % 0.82/1.11 (define @t31 () (tptp.relation @t2)) % 0.82/1.11 (define @t32 () (tptp.empty @t16)) % 0.82/1.11 (define @t33 () (not @t6)) % 0.82/1.11 (define @t34 () (and @t33 @t8)) % 0.82/1.11 (define @t35 () (tptp.empty @t2)) % 0.82/1.11 (define @t36 () (tptp.element @t2 @t29)) % 0.82/1.11 (define @t37 () (= (tptp.relation_image @t2 @t13) (tptp.singleton (tptp.apply @t2 @t1)))) % 0.82/1.11 (define @t38 () (tptp.in @t1 (tptp.relation_dom @t2))) % 0.82/1.11 (define @t39 () (=> @t38 @t37)) % 0.82/1.11 (define @t40 () (tptp.function @t2)) % 0.82/1.11 (define @t41 () (and @t31 @t40)) % 0.82/1.11 (define @t42 () (forall @t4 (=> @t41 @t39))) % 0.82/1.11 (define @t43 () (tptp.set_difference @t2 @t12)) % 0.82/1.11 (define @t44 () (forall @t20 (= (tptp.relation_image @t1 @t43) (tptp.set_difference (tptp.relation_image @t1 @t2) (tptp.relation_image @t1 @t12))))) % 0.82/1.11 (define @t45 () (=> @t44 @t9)) % 0.82/1.11 (define @t46 () (forall @t7 (=> @t23 @t45))) % 0.82/1.11 (define @t47 () (not @t46)) % 0.82/1.11 (define @t48 () (tptp.element @t1 @t2)) % 0.82/1.11 (define @t49 () (not (= @t1 @t2))) % 0.82/1.11 (define @t50 () (tptp.set_difference @t13 (tptp.singleton @t2))) % 0.82/1.11 (define @t51 () (= (= @t50 @t13) @t49)) % 0.82/1.11 (define @t52 () (forall @t4 @t51)) % 0.82/1.11 (define @t53 () (tptp.subset @t1 @t2)) % 0.82/1.11 (define @t54 () (tptp.element @t2 (tptp.powerset @t12))) % 0.82/1.11 (define @t55 () (@list @t1 @t2 @t12)) % 0.82/1.11 (define @t56 () (not @t15)) % 0.82/1.11 (define @t57 () (not @t17)) % 0.82/1.11 (define @t58 () (not @t18)) % 0.82/1.11 (define @t59 () (or @t58 @t57 @t56 @t14)) % 0.82/1.11 (define @t60 () (= @t9 (forall @t20 @t59))) % 0.82/1.11 (define @t61 () (not @t5)) % 0.82/1.11 (define @t62 () (not @t8)) % 0.82/1.11 (define @t63 () (or @t62 @t61)) % 0.82/1.11 (define @t64 () (not @t23)) % 0.82/1.11 (define @t65 () (or @t58 @t57 @t56)) % 0.82/1.11 (define @t66 () (not @t44)) % 0.82/1.11 (define @t67 () (or @t62 @t61 @t66 @t9)) % 0.82/1.11 (define @t68 () (@quantifiers_skolemize (forall @t7 @t67) 0)) % 0.82/1.11 (define @t69 () (tptp.function @t68)) % 0.82/1.11 (define @t70 () (tptp.one_to_one @t68)) % 0.82/1.11 (define @t71 () (forall @t20 (= (tptp.relation_image @t68 @t43) (tptp.set_difference (tptp.relation_image @t68 @t2) (tptp.relation_image @t68 @t12))))) % 0.82/1.11 (define @t72 () (not @t71)) % 0.82/1.11 (define @t73 () (not @t69)) % 0.82/1.11 (define @t74 () (tptp.relation @t68)) % 0.82/1.12 (define @t75 () (not @t74)) % 0.82/1.12 (define @t76 () (or @t75 @t73 @t72 @t70)) % 0.82/1.12 (define @t77 () (@list true)) % 0.82/1.12 (define @t78 () (@list @t76)) % 0.82/1.12 (define @t79 () (tptp.relation_dom @t68)) % 0.82/1.12 (define @t80 () (forall @t20 (or (not (tptp.in @t2 @t79)) (not (tptp.in @t12 @t79)) (not (= (tptp.apply @t68 @t2) (tptp.apply @t68 @t12))) @t14))) % 0.82/1.12 (define @t81 () (= @t70 @t80)) % 0.82/1.12 (define @t82 () (or @t75 @t73 @t81)) % 0.82/1.12 (define @t83 () (not @t80)) % 0.82/1.12 (define @t84 () (@list true false)) % 0.82/1.12 (define @t85 () (@quantifiers_skolemize @t80 1)) % 0.82/1.12 (define @t86 () (tptp.apply @t68 @t85)) % 0.82/1.12 (define @t87 () (@quantifiers_skolemize @t80 0)) % 0.82/1.12 (define @t88 () (tptp.apply @t68 @t87)) % 0.82/1.12 (define @t89 () (= @t88 @t86)) % 0.82/1.12 (define @t90 () (= @t87 @t85)) % 0.82/1.12 (define @t91 () (not @t89)) % 0.82/1.12 (define @t92 () (tptp.in @t85 @t79)) % 0.82/1.12 (define @t93 () (not @t92)) % 0.82/1.12 (define @t94 () (tptp.in @t87 @t79)) % 0.82/1.12 (define @t95 () (not @t94)) % 0.82/1.12 (define @t96 () (or @t95 @t93 @t91 @t90)) % 0.82/1.12 (define @t97 () (@list @t96)) % 0.82/1.12 (define @t98 () (not @t38)) % 0.82/1.12 (define @t99 () (not @t40)) % 0.82/1.12 (define @t100 () (not @t31)) % 0.82/1.12 (define @t101 () (tptp.singleton @t88)) % 0.82/1.12 (define @t102 () (tptp.singleton @t87)) % 0.82/1.12 (define @t103 () (tptp.relation_image @t68 @t102)) % 0.82/1.12 (define @t104 () (= @t103 @t101)) % 0.82/1.12 (define @t105 () (or @t75 @t73 @t95 @t104)) % 0.82/1.12 (define @t106 () (@list false false false false)) % 0.82/1.12 (define @t107 () (tptp.singleton @t86)) % 0.82/1.12 (define @t108 () (tptp.singleton @t85)) % 0.82/1.12 (define @t109 () (tptp.relation_image @t68 @t108)) % 0.82/1.12 (define @t110 () (= @t109 @t107)) % 0.82/1.12 (define @t111 () (or @t75 @t73 @t93 @t110)) % 0.82/1.12 (define @t112 () (= @t13 @t50)) % 0.82/1.12 (define @t113 () (= @t107 (tptp.set_difference @t107 @t107))) % 0.82/1.12 (define @t114 () (not (= @t86 @t86))) % 0.82/1.12 (define @t115 () (= @t114 @t113)) % 0.82/1.12 (define @t116 () (forall @t4 (= @t49 @t112))) % 0.82/1.12 (define @t117 () (not @t113)) % 0.82/1.12 (define @t118 () (@list false)) % 0.82/1.12 (define @t119 () (@list @t116)) % 0.82/1.12 (define @t120 () (tptp.set_difference @t108 @t102)) % 0.82/1.12 (define @t121 () (= @t108 @t120)) % 0.82/1.12 (define @t122 () (not (= @t85 @t87))) % 0.82/1.12 (define @t123 () (= @t122 @t121)) % 0.82/1.12 (define @t124 () (not @t90)) % 0.82/1.12 (define @t125 () (= @t124 @t121)) % 0.82/1.12 (define @t126 () (not @t125)) % 0.82/1.12 (define @t127 () (tptp.set_difference @t109 @t103)) % 0.82/1.12 (define @t128 () (tptp.relation_image @t68 @t120)) % 0.82/1.12 (define @t129 () (= @t128 @t127)) % 0.82/1.12 (define @t130 () (not @t129)) % 0.82/1.12 (define @t131 () (not @t121)) % 0.82/1.12 (define @t132 () (not @t110)) % 0.82/1.12 (define @t133 () (not @t104)) % 0.82/1.12 (define @t134 () (tptp.set_difference @t109 @t109)) % 0.82/1.12 (define @t135 () (and @t129 @t130)) % 0.82/1.12 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.82/1.12 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.82/1.12 (assume @p3 (forall @t7 (=> @t6 @t8))) % 0.82/1.12 (assume @p4 (forall @t7 (=> @t11 @t10))) % 0.82/1.12 (assume @p5 (forall @t4 (= (= @t2 @t13) (forall (@list @t12) (= (tptp.in @t12 @t2) (= @t12 @t1)))))) % 0.82/1.12 (assume @p6 @t25) % 0.82/1.12 (assume @p7 (forall @t7 (exists @t26 (tptp.element @t2 @t1)))) % 0.82/1.12 (assume @p8 (and @t28 @t27 (tptp.relation_empty_yielding tptp.empty_set))) % 0.82/1.12 (assume @p9 (forall @t7 (not (tptp.empty @t29)))) % 0.82/1.12 (assume @p10 @t28) % 0.82/1.12 (assume @p11 (forall @t7 (not (tptp.empty @t13)))) % 0.82/1.12 (assume @p12 (forall @t4 (=> (and @t8 @t31) (tptp.relation @t30)))) % 0.82/1.12 (assume @p13 (and @t28 @t27)) % 0.82/1.12 (assume @p14 (forall @t7 (=> @t34 (not @t32)))) % 0.82/1.12 (assume @p15 (forall @t7 (=> @t6 (and @t32 (tptp.relation @t16))))) % 0.82/1.12 (assume @p16 (exists @t7 @t23)) % 0.82/1.12 (assume @p17 (exists @t7 (and @t6 @t8))) % 0.82/1.12 (assume @p18 (forall @t7 (=> @t33 (exists @t26 (and @t36 (not @t35)))))) % 0.82/1.12 (assume @p19 (exists @t7 @t6)) % 0.82/1.12 (assume @p20 (exists @t7 @t11)) % 0.82/1.12 (assume @p21 (exists @t7 @t34)) % 0.82/1.12 (assume @p22 (forall @t7 (exists @t26 (and @t36 @t35)))) % 0.82/1.12 (assume @p23 (exists @t7 @t33)) % 0.82/1.12 (assume @p24 (exists @t7 @t10)) % 0.82/1.12 (assume @p25 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 0.82/1.12 (assume @p26 (forall @t4 (tptp.subset @t1 @t1))) % 0.82/1.12 (assume @p27 @t42) % 0.82/1.12 (assume @p28 @t47) % 0.82/1.12 (assume @p29 (forall @t4 (=> @t3 @t48))) % 0.82/1.12 (assume @p30 @t52) % 0.82/1.12 (assume @p31 (forall @t4 (=> @t48 (or @t35 @t3)))) % 0.82/1.12 (assume @p32 (forall @t4 (= (= @t30 tptp.empty_set) @t53))) % 0.82/1.12 (assume @p33 (forall @t7 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.82/1.12 (assume @p34 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t53))) % 0.82/1.12 (assume @p35 (forall @t7 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.82/1.12 (assume @p36 (forall @t55 (=> (and @t3 @t54) (tptp.element @t1 @t12)))) % 0.82/1.12 (assume @p37 (forall @t55 (not (and @t3 @t54 (tptp.empty @t12))))) % 0.82/1.12 (assume @p38 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.82/1.12 (assume @p39 (forall @t4 (not (and @t3 @t35)))) % 0.82/1.12 (assume @p40 (forall @t4 (not (and @t6 @t49 @t35)))) % 0.82/1.12 (assume @p41 true) % 0.82/1.12 (step @p42 :rule aci_norm :args ((= (or @t63 @t60) (or @t62 @t61 @t60)))) % 0.82/1.12 (step @p43 :rule refl :args (@t60)) % 0.82/1.12 (step @p44 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 0.82/1.12 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t64 @t60))) % 0.82/1.12 (step @p46 :rule trans :premises (@p45 @p42)) % 0.82/1.12 (step @p47 :rule bool-impl-elim :args (@t23 @t60)) % 0.82/1.12 (step @p48 :rule trans :premises (@p47 @p46)) % 0.82/1.12 (step @p49 :rule cong :premises (@p48) :args ((forall @t7 (=> @t23 @t60)))) % 0.82/1.12 (step @p50 :rule aci_norm :args ((= (or @t65 @t14) @t59))) % 0.82/1.12 (step @p51 :rule refl :args (@t14)) % 0.82/1.12 (step @p52 :rule aci_norm :args ((= (or @t58 (or @t57 @t56)) @t65))) % 0.82/1.12 (step @p53 :rule bool-and-de-morgan :args (@t17 @t15 true)) % 0.82/1.12 (step @p54 :rule refl :args (@t58)) % 0.82/1.12 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t58 (not (and @t17 @t15))))) % 0.82/1.12 (step @p56 :rule bool-and-de-morgan :args (@t18 @t17 (and @t15))) % 0.82/1.12 (step @p57 :rule trans :premises (@p56 @p55)) % 0.82/1.12 (step @p58 :rule trans :premises (@p57 @p52)) % 0.82/1.12 (step @p59 :rule nary_cong :premises (@p58 @p51) :args ((or (not @t19) @t14))) % 0.82/1.12 (step @p60 :rule trans :premises (@p59 @p50)) % 0.82/1.12 (step @p61 :rule bool-impl-elim :args (@t19 @t14)) % 0.82/1.12 (step @p62 :rule trans :premises (@p61 @p60)) % 0.82/1.12 (step @p63 :rule cong :premises (@p62) :args (@t21)) % 0.82/1.12 (step @p64 :rule refl :args (@t9)) % 0.82/1.12 (step @p65 :rule cong :premises (@p64 @p63) :args (@t22)) % 0.82/1.12 (step @p66 :rule refl :args (@t23)) % 0.82/1.12 (step @p67 :rule cong :premises (@p66 @p65) :args (@t24)) % 0.82/1.12 (step @p68 :rule cong :premises (@p67) :args (@t25)) % 0.82/1.12 (step @p69 :rule trans :premises (@p68 @p49)) % 0.82/1.12 (step @p70 :rule eq_resolve :premises (@p6 @p69)) % 0.82/1.12 (step @p71 :rule instantiate :premises (@p70) :args ((@list @t68))) % 0.82/1.12 (step @p72 :rule aci_norm :args ((= (or @t63 (or @t66 @t9)) @t67))) % 0.82/1.12 (step @p73 :rule bool-impl-elim :args (@t44 @t9)) % 0.82/1.12 (step @p74 :rule nary_cong :premises (@p44 @p73) :args ((or @t64 @t45))) % 0.82/1.12 (step @p75 :rule trans :premises (@p74 @p72)) % 0.82/1.12 (step @p76 :rule bool-impl-elim :args (@t23 @t45)) % 0.82/1.12 (step @p77 :rule trans :premises (@p76 @p75)) % 0.82/1.12 (step @p78 :rule cong :premises (@p77) :args (@t46)) % 0.82/1.12 (step @p79 :rule cong :premises (@p78) :args (@t47)) % 0.82/1.12 (step @p80 :rule eq_resolve :premises (@p28 @p79)) % 0.82/1.12 (step @p81 :rule skolemize :premises (@p80)) % 0.82/1.12 (step @p82 :rule bool-double-not-elim :args (@t69)) % 0.82/1.12 (step @p83 :rule refl :args (@t76)) % 0.82/1.12 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t76 (not @t73)))) % 0.82/1.12 (step @p85 :rule cnf_or_neg :args (@t76 1)) % 0.82/1.12 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.82/1.12 (step @p87 :rule reordering :premises (@p86) :args ((or @t69 @t76))) % 0.82/1.12 (step @p88 :rule chain_m_resolution :premises (@p87 @p81) :args (@t69 @t77 @t78)) % 0.82/1.12 (step @p89 :rule bool-double-not-elim :args (@t74)) % 0.82/1.12 (step @p90 :rule nary_cong :premises (@p83 @p89) :args ((or @t76 (not @t75)))) % 0.82/1.12 (step @p91 :rule cnf_or_neg :args (@t76 0)) % 0.82/1.12 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.82/1.12 (step @p93 :rule reordering :premises (@p92) :args ((or @t74 @t76))) % 0.82/1.12 (step @p94 :rule chain_m_resolution :premises (@p93 @p81) :args (@t74 @t77 @t78)) % 0.82/1.12 (step @p95 :rule cnf_or_pos :args (@t82)) % 0.82/1.12 (step @p96 :rule reordering :premises (@p95) :args ((or @t75 @t73 @t81 (not @t82)))) % 0.82/1.12 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p88 @p71) :args (@t81 (@list false false false) (@list @t74 @t69 @t82))) % 0.82/1.12 (step @p98 :rule cnf_or_neg :args (@t76 3)) % 0.82/1.12 (step @p99 :rule chain_m_resolution :premises (@p98 @p81) :args ((not @t70) @t77 @t78)) % 0.82/1.12 (step @p100 :rule cnf_equiv_pos2 :args (@t81)) % 0.82/1.12 (step @p101 :rule reordering :premises (@p100) :args ((or @t70 @t83 (not @t81)))) % 0.82/1.12 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p97) :args (@t83 @t84 (@list @t70 @t81))) % 0.82/1.12 (step @p103 :rule skolemize :premises (@p102)) % 0.82/1.12 (step @p104 :rule bool-double-not-elim :args (@t89)) % 0.82/1.12 (step @p105 :rule refl :args (@t96)) % 0.82/1.12 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t96 (not @t91)))) % 0.82/1.12 (step @p107 :rule cnf_or_neg :args (@t96 2)) % 0.82/1.12 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.82/1.12 (step @p109 :rule reordering :premises (@p108) :args ((or @t89 @t96))) % 0.82/1.12 (step @p110 :rule chain_m_resolution :premises (@p109 @p103) :args (@t89 @t77 @t97)) % 0.82/1.12 (step @p111 :rule aci_norm :args ((= (or (or @t100 @t99) (or @t98 @t37)) (or @t100 @t99 @t98 @t37)))) % 0.82/1.12 (step @p112 :rule bool-impl-elim :args (@t38 @t37)) % 0.82/1.12 (step @p113 :rule bool-and-de-morgan :args (@t31 @t40 true)) % 0.82/1.12 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or (not @t41) @t39))) % 0.82/1.12 (step @p115 :rule trans :premises (@p114 @p111)) % 0.82/1.12 (step @p116 :rule bool-impl-elim :args (@t41 @t39)) % 0.82/1.12 (step @p117 :rule trans :premises (@p116 @p115)) % 0.82/1.12 (step @p118 :rule cong :premises (@p117) :args (@t42)) % 0.82/1.12 (step @p119 :rule eq_resolve :premises (@p27 @p118)) % 0.82/1.12 (step @p120 :rule instantiate :premises (@p119) :args ((@list @t87 @t68))) % 0.82/1.12 (step @p121 :rule bool-double-not-elim :args (@t94)) % 0.82/1.12 (step @p122 :rule nary_cong :premises (@p105 @p121) :args ((or @t96 (not @t95)))) % 0.82/1.12 (step @p123 :rule cnf_or_neg :args (@t96 0)) % 0.82/1.12 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.82/1.12 (step @p125 :rule reordering :premises (@p124) :args ((or @t94 @t96))) % 0.82/1.12 (step @p126 :rule chain_m_resolution :premises (@p125 @p103) :args (@t94 @t77 @t97)) % 0.82/1.12 (step @p127 :rule cnf_or_pos :args (@t105)) % 0.82/1.12 (step @p128 :rule reordering :premises (@p127) :args ((or @t75 @t73 @t95 @t104 (not @t105)))) % 0.82/1.12 (step @p129 :rule chain_m_resolution :premises (@p128 @p94 @p88 @p126 @p120) :args (@t104 @t106 (@list @t74 @t69 @t94 @t105))) % 0.82/1.12 (step @p130 :rule instantiate :premises (@p119) :args ((@list @t85 @t68))) % 0.82/1.12 (step @p131 :rule bool-double-not-elim :args (@t92)) % 0.82/1.12 (step @p132 :rule nary_cong :premises (@p105 @p131) :args ((or @t96 (not @t93)))) % 0.82/1.12 (step @p133 :rule cnf_or_neg :args (@t96 1)) % 0.82/1.12 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 0.82/1.12 (step @p135 :rule reordering :premises (@p134) :args ((or @t92 @t96))) % 0.82/1.12 (step @p136 :rule chain_m_resolution :premises (@p135 @p103) :args (@t92 @t77 @t97)) % 0.82/1.12 (step @p137 :rule cnf_or_pos :args (@t111)) % 0.82/1.12 (step @p138 :rule reordering :premises (@p137) :args ((or @t75 @t73 @t93 @t110 (not @t111)))) % 0.82/1.12 (step @p139 :rule chain_m_resolution :premises (@p138 @p94 @p88 @p136 @p130) :args (@t110 @t106 (@list @t74 @t69 @t92 @t111))) % 0.82/1.12 (step @p140 :rule eq-symm :args (@t112 @t49)) % 0.82/1.12 (step @p141 :rule refl :args (@t49)) % 0.82/1.12 (step @p142 :rule eq-symm :args (@t50 @t13)) % 0.82/1.12 (step @p143 :rule cong :premises (@p142 @p141) :args (@t51)) % 0.82/1.12 (step @p144 :rule trans :premises (@p143 @p140)) % 0.82/1.12 (step @p145 :rule cong :premises (@p144) :args (@t52)) % 0.82/1.12 (step @p146 :rule eq_resolve :premises (@p30 @p145)) % 0.82/1.12 (step @p147 :rule bool-eq-false :args (@t113)) % 0.82/1.12 (step @p148 :rule eq-symm :args (false @t113)) % 0.82/1.12 (step @p149 :rule trans :premises (@p148 @p147)) % 0.82/1.12 (step @p150 :rule refl :args (@t113)) % 0.82/1.12 (step @p151 :rule evaluate :args ((not true))) % 0.82/1.12 (step @p152 :rule eq-refl :args (@t86)) % 0.82/1.12 (step @p153 :rule cong :premises (@p152) :args (@t114)) % 0.82/1.12 (step @p154 :rule trans :premises (@p153 @p151)) % 0.82/1.12 (step @p155 :rule cong :premises (@p154 @p150) :args (@t115)) % 0.82/1.12 (step @p156 :rule trans :premises (@p155 @p149)) % 0.82/1.12 (step @p157 :rule refl :args (@t116)) % 0.82/1.12 (step @p158 :rule cong :premises (@p157 @p156) :args ((=> @t116 @t115))) % 0.82/1.12 (assume-push @p246 @t116) % 0.82/1.12 (step @p160 :rule instantiate :premises (@p146) :args ((@list @t86 @t86))) % 0.82/1.12 (step-pop @p247 :rule scope :premises (@p160)) % 0.82/1.12 (step @p161 :rule process_scope :premises (@p247) :args (@t115)) % 0.82/1.12 (step @p163 :rule eq_resolve :premises (@p161 @p158)) % 0.82/1.12 (step @p164 :rule implies_elim :premises (@p163)) % 0.82/1.12 (step @p165 :rule chain_m_resolution :premises (@p164 @p146) :args (@t117 @t118 @t119)) % 0.82/1.12 (step @p166 :rule refl :args (@t121)) % 0.82/1.12 (step @p167 :rule eq-symm :args (@t85 @t87)) % 0.82/1.12 (step @p168 :rule cong :premises (@p167) :args (@t122)) % 0.82/1.12 (step @p169 :rule cong :premises (@p168 @p166) :args (@t123)) % 0.82/1.12 (step @p170 :rule cong :premises (@p157 @p169) :args ((=> @t116 @t123))) % 0.82/1.12 (assume-push @p248 @t116) % 0.82/1.12 (step @p172 :rule instantiate :premises (@p146) :args ((@list @t85 @t87))) % 0.82/1.12 (step-pop @p249 :rule scope :premises (@p172)) % 0.82/1.12 (step @p173 :rule process_scope :premises (@p249) :args (@t123)) % 0.82/1.12 (step @p175 :rule eq_resolve :premises (@p173 @p170)) % 0.82/1.12 (step @p176 :rule implies_elim :premises (@p175)) % 0.82/1.12 (step @p177 :rule chain_m_resolution :premises (@p176 @p146) :args (@t125 @t118 @t119)) % 0.82/1.12 (step @p178 :rule cnf_or_neg :args (@t96 3)) % 0.82/1.12 (step @p179 :rule chain_m_resolution :premises (@p178 @p103) :args (@t124 @t77 @t97)) % 0.82/1.12 (step @p180 :rule bool-double-not-elim :args (@t90)) % 0.82/1.12 (step @p181 :rule refl :args (@t126)) % 0.82/1.12 (step @p182 :rule nary_cong :premises (@p181 @p180 @p166) :args ((or @t126 (not @t124) @t121))) % 0.82/1.12 (step @p183 :rule cnf_equiv_pos1 :args (@t125)) % 0.82/1.12 (step @p184 :rule eq_resolve :premises (@p183 @p182)) % 0.82/1.12 (step @p185 :rule reordering :premises (@p184) :args ((or @t90 @t121 @t126))) % 0.82/1.12 (step @p186 :rule chain_m_resolution :premises (@p185 @p179 @p177) :args (@t121 @t84 (@list @t90 @t125))) % 0.82/1.12 (step @p187 :rule bool-double-not-elim :args (@t71)) % 0.82/1.12 (step @p188 :rule nary_cong :premises (@p83 @p187) :args ((or @t76 (not @t72)))) % 0.82/1.12 (step @p189 :rule cnf_or_neg :args (@t76 2)) % 0.82/1.12 (step @p190 :rule eq_resolve :premises (@p189 @p188)) % 0.82/1.12 (step @p191 :rule reordering :premises (@p190) :args ((or @t71 @t76))) % 0.82/1.12 (step @p192 :rule chain_m_resolution :premises (@p191 @p81) :args (@t71 @t77 @t78)) % 0.82/1.12 (step @p193 :rule instantiate :premises (@p192) :args ((@list @t108 @t102))) % 0.82/1.12 (step @p194 :rule refl :args (@t130)) % 0.82/1.12 (step @p195 :rule refl :args (@t131)) % 0.82/1.12 (step @p196 :rule bool-double-not-elim :args (@t113)) % 0.82/1.12 (step @p197 :rule refl :args (@t132)) % 0.82/1.12 (step @p198 :rule refl :args (@t133)) % 0.82/1.12 (step @p199 :rule refl :args (@t91)) % 0.82/1.12 (step @p200 :rule nary_cong :premises (@p199 @p198 @p197 @p196 @p195 @p194) :args ((or @t91 @t133 @t132 (not @t117) @t131 @t130))) % 0.82/1.12 (assume-push @p250 @t129) % 0.82/1.12 (assume-push @p251 @t130) % 0.82/1.12 (step @p203 :rule evaluate :args ((= false true))) % 0.82/1.12 (step @p204 :rule true_intro :premises (@p193)) % 0.82/1.12 (step @p205 :rule false_intro :premises (@p165)) % 0.82/1.12 (step @p206 :rule cong :premises (@p139 @p139) :args (@t134)) % 0.82/1.12 (step @p207 :rule symm :premises (@p139)) % 0.82/1.12 (step @p208 :rule cong :premises (@p110) :args (@t101)) % 0.82/1.12 (step @p209 :rule trans :premises (@p129 @p208 @p207)) % 0.82/1.12 (step @p210 :rule refl :args (@t109)) % 0.82/1.12 (step @p211 :rule cong :premises (@p210 @p209) :args (@t127)) % 0.82/1.12 (step @p212 :rule trans :premises (@p211 @p206)) % 0.82/1.12 (step @p213 :rule symm :premises (@p186)) % 0.82/1.12 (step @p214 :rule refl :args (@t68)) % 0.82/1.12 (step @p215 :rule cong :premises (@p214 @p213) :args (@t128)) % 0.82/1.12 (step @p216 :rule trans :premises (@p215 @p139)) % 0.82/1.12 (step @p217 :rule cong :premises (@p216 @p212) :args (@t129)) % 0.82/1.12 (step @p218 :rule trans :premises (@p217 @p205)) % 0.82/1.12 (step @p219 :rule symm :premises (@p218)) % 0.82/1.12 (step @p220 :rule trans :premises (@p219 @p204)) % 0.82/1.12 (step @p221 false :rule eq_resolve :premises (@p220 @p203)) % 0.82/1.12 (step-pop @p252 :rule scope :premises (@p221)) % 0.82/1.12 (step-pop @p253 :rule scope :premises (@p252)) % 0.82/1.12 (step @p222 :rule process_scope :premises (@p253) :args (false)) % 0.82/1.12 (assume-push @p254 @t89) % 0.82/1.12 (assume-push @p255 @t104) % 0.82/1.12 (assume-push @p256 @t110) % 0.82/1.12 (assume-push @p257 @t117) % 0.82/1.12 (assume-push @p258 @t121) % 0.82/1.12 (assume-push @p259 @t129) % 0.82/1.12 (step @p205 :rule false_intro :premises (@p165)) % 0.82/1.12 (step @p206 :rule cong :premises (@p139 @p139) :args (@t134)) % 0.82/1.12 (step @p207 :rule symm :premises (@p139)) % 0.82/1.12 (step @p208 :rule cong :premises (@p110) :args (@t101)) % 0.82/1.12 (step @p209 :rule trans :premises (@p129 @p208 @p207)) % 0.82/1.12 (step @p210 :rule refl :args (@t109)) % 0.82/1.12 (step @p211 :rule cong :premises (@p210 @p209) :args (@t127)) % 0.82/1.12 (step @p212 :rule trans :premises (@p211 @p206)) % 0.82/1.12 (step @p213 :rule symm :premises (@p186)) % 0.82/1.12 (step @p214 :rule refl :args (@t68)) % 0.82/1.12 (step @p215 :rule cong :premises (@p214 @p213) :args (@t128)) % 0.82/1.12 (step @p216 :rule trans :premises (@p215 @p139)) % 0.82/1.12 (step @p217 :rule cong :premises (@p216 @p212) :args (@t129)) % 0.82/1.12 (step @p231 :rule trans :premises (@p217 @p205)) % 0.82/1.12 (step @p232 :rule false_elim :premises (@p231)) % 0.82/1.12 (step @p233 :rule and_intro :premises (@p193 @p232)) % 0.82/1.12 (step-pop @p260 :rule scope :premises (@p233)) % 0.82/1.12 (step-pop @p261 :rule scope :premises (@p260)) % 0.82/1.12 (step-pop @p262 :rule scope :premises (@p261)) % 0.82/1.12 (step-pop @p263 :rule scope :premises (@p262)) % 0.82/1.12 (step-pop @p264 :rule scope :premises (@p263)) % 0.82/1.12 (step-pop @p265 :rule scope :premises (@p264)) % 0.82/1.12 (step @p234 :rule process_scope :premises (@p265) :args (@t135)) % 0.82/1.12 (step @p241 :rule implies_elim :premises (@p234)) % 0.82/1.12 (step @p242 :rule resolution :premises (@p241 @p222) :args (true @t135)) % 0.82/1.12 (step @p243 :rule not_and :premises (@p242)) % 0.82/1.12 (step @p244 :rule eq_resolve :premises (@p243 @p200)) % 0.82/1.12 (step @p245 false :rule chain_m_resolution :premises (@p244 @p193 @p186 @p165 @p139 @p129 @p110) :args (false (@list false false true false false false) (@list @t129 @t121 @t113 @t110 @t104 @t89))) % 0.82/1.12 ) % 0.82/1.12 % SZS output end Proof % 0.82/1.12 % cvc5 exiting %------------------------------------------------------------------------------