%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET790+4 : 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 : 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 08:48:39 AM UTC 2026 % Result : Theorem 0.34s 0.60s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.14 % Problem : SET790+4 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.16 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.37 % Computer : n014.cluster.edu % 0.17/0.37 % Model : x86_64 x86_64 % 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.37 % Memory : 8042.1875MB % 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.37 % CPULimit : 300 % 0.17/0.37 % WCLimit : 300 % 0.17/0.37 % DateTime : Tue Jun 2 16:12:28 EDT 2026 % 0.17/0.37 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.60 % SZS status Theorem % 0.34/0.60 % SZS output start Proof % 0.34/0.60 ( % 0.34/0.60 (declare-sort $$unsorted 0) % 0.34/0.60 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.60 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.60 (declare-const tptp.min (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.60 (declare-const tptp.greatest (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.60 (declare-const tptp.least (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.60 (declare-const tptp.lower_bound (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.60 (declare-const tptp.upper_bound (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.60 (declare-const tptp.total_order (-> $$unsorted $$unsorted Bool)) % 0.34/0.60 (declare-const tptp.order (-> $$unsorted $$unsorted Bool)) % 0.34/0.60 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.34/0.60 (declare-const tptp.max (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.60 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.60 (define @t1 () (@var "Z" $$unsorted)) % 0.34/0.60 (define @t2 () (@var "X" $$unsorted)) % 0.34/0.60 (define @t3 () (@var "R" $$unsorted)) % 0.34/0.60 (define @t4 () (tptp.apply @t3 @t2 @t1)) % 0.34/0.60 (define @t5 () (@var "Y" $$unsorted)) % 0.34/0.60 (define @t6 () (tptp.apply @t3 @t5 @t1)) % 0.34/0.60 (define @t7 () (tptp.apply @t3 @t2 @t5)) % 0.34/0.60 (define @t8 () (and @t7 @t6)) % 0.34/0.60 (define @t9 () (=> @t8 @t4)) % 0.34/0.60 (define @t10 () (@var "E" $$unsorted)) % 0.34/0.60 (define @t11 () (tptp.member @t1 @t10)) % 0.34/0.60 (define @t12 () (tptp.member @t5 @t10)) % 0.34/0.60 (define @t13 () (tptp.member @t2 @t10)) % 0.34/0.60 (define @t14 () (and @t13 @t12 @t11)) % 0.34/0.60 (define @t15 () (@list @t2 @t5 @t1)) % 0.34/0.60 (define @t16 () (forall @t15 (=> @t14 @t9))) % 0.34/0.60 (define @t17 () (= @t2 @t5)) % 0.34/0.60 (define @t18 () (tptp.apply @t3 @t5 @t2)) % 0.34/0.60 (define @t19 () (and @t7 @t18)) % 0.34/0.60 (define @t20 () (=> @t19 @t17)) % 0.34/0.60 (define @t21 () (and @t13 @t12)) % 0.34/0.60 (define @t22 () (@list @t2 @t5)) % 0.34/0.60 (define @t23 () (forall @t22 (=> @t21 @t20))) % 0.34/0.60 (define @t24 () (tptp.apply @t3 @t2 @t2)) % 0.34/0.60 (define @t25 () (@list @t2)) % 0.34/0.60 (define @t26 () (forall @t25 (=> @t13 @t24))) % 0.34/0.60 (define @t27 () (and @t26 @t23 @t16)) % 0.34/0.60 (define @t28 () (tptp.order @t3 @t10)) % 0.34/0.60 (define @t29 () (= @t28 @t27)) % 0.34/0.60 (define @t30 () (@list @t3 @t10)) % 0.34/0.60 (define @t31 () (forall @t30 @t29)) % 0.34/0.60 (define @t32 () (@var "M" $$unsorted)) % 0.34/0.60 (define @t33 () (tptp.apply @t3 @t2 @t32)) % 0.34/0.60 (define @t34 () (forall @t25 (=> @t13 @t33))) % 0.34/0.60 (define @t35 () (@list @t3 @t10 @t32)) % 0.34/0.60 (define @t36 () (tptp.apply @t3 @t32 @t2)) % 0.34/0.60 (define @t37 () (forall @t25 (=> @t13 @t36))) % 0.34/0.60 (define @t38 () (tptp.member @t32 @t10)) % 0.34/0.60 (define @t39 () (and @t38 @t37)) % 0.34/0.60 (define @t40 () (tptp.least @t32 @t3 @t10)) % 0.34/0.60 (define @t41 () (= @t40 @t39)) % 0.34/0.60 (define @t42 () (forall @t35 @t41)) % 0.34/0.60 (define @t43 () (= @t32 @t2)) % 0.34/0.60 (define @t44 () (@var "A" $$unsorted)) % 0.34/0.60 (define @t45 () (@list @t32)) % 0.34/0.60 (define @t46 () (tptp.member @t44 @t2)) % 0.34/0.60 (define @t47 () (@list @t44 @t2 @t3 @t10)) % 0.34/0.60 (define @t48 () (tptp.least @t2 @t3 @t10)) % 0.34/0.60 (define @t49 () (=> @t48 @t43)) % 0.34/0.60 (define @t50 () (forall @t25 @t49)) % 0.34/0.60 (define @t51 () (and @t28 @t40)) % 0.34/0.60 (define @t52 () (=> @t51 @t50)) % 0.34/0.60 (define @t53 () (forall @t35 @t52)) % 0.34/0.60 (define @t54 () (not @t53)) % 0.34/0.60 (define @t55 () (not @t6)) % 0.34/0.60 (define @t56 () (not @t7)) % 0.34/0.60 (define @t57 () (not @t11)) % 0.34/0.60 (define @t58 () (not @t12)) % 0.34/0.60 (define @t59 () (not @t13)) % 0.34/0.60 (define @t60 () (or @t56 @t55 @t4)) % 0.34/0.60 (define @t61 () (or @t59 @t58 @t57)) % 0.34/0.60 (define @t62 () (not @t18)) % 0.34/0.60 (define @t63 () (or @t56 @t62 @t17)) % 0.34/0.60 (define @t64 () (@var "BOUND_VARIABLE_7637" $$unsorted)) % 0.34/0.60 (define @t65 () (not (tptp.least @t64 @t3 @t10))) % 0.34/0.60 (define @t66 () (not @t40)) % 0.34/0.60 (define @t67 () (not @t28)) % 0.34/0.60 (define @t68 () (@list @t3 @t10 @t32 @t64)) % 0.34/0.60 (define @t69 () (forall @t68 (or @t67 @t66 @t65 (= @t32 @t64)))) % 0.34/0.60 (define @t70 () (@quantifiers_skolemize @t69 1)) % 0.34/0.60 (define @t71 () (@quantifiers_skolemize @t69 0)) % 0.34/0.60 (define @t72 () (= @t64 @t32)) % 0.34/0.60 (define @t73 () (or @t67 @t66 @t65 @t72)) % 0.34/0.60 (define @t74 () (or @t65 @t72)) % 0.34/0.60 (define @t75 () (or @t67 @t66 @t74)) % 0.34/0.60 (define @t76 () (forall @t68 @t75)) % 0.34/0.60 (define @t77 () (@list @t64)) % 0.34/0.60 (define @t78 () (forall @t77 @t75)) % 0.34/0.60 (define @t79 () (forall @t77 @t74)) % 0.34/0.60 (define @t80 () (or @t67 @t66 @t79)) % 0.34/0.60 (define @t81 () (= @t2 @t32)) % 0.34/0.60 (define @t82 () (forall @t25 (or (not @t48) @t81))) % 0.34/0.60 (define @t83 () (or @t67 @t66 @t82)) % 0.34/0.60 (define @t84 () (tptp.order @t71 @t70)) % 0.34/0.60 (define @t85 () (@quantifiers_skolemize @t69 3)) % 0.34/0.60 (define @t86 () (@quantifiers_skolemize @t69 2)) % 0.34/0.60 (define @t87 () (= @t86 @t85)) % 0.34/0.60 (define @t88 () (tptp.least @t85 @t71 @t70)) % 0.34/0.60 (define @t89 () (not @t88)) % 0.34/0.60 (define @t90 () (tptp.least @t86 @t71 @t70)) % 0.34/0.60 (define @t91 () (not @t90)) % 0.34/0.60 (define @t92 () (not @t84)) % 0.34/0.60 (define @t93 () (or @t92 @t91 @t89 @t87)) % 0.34/0.60 (define @t94 () (@list true)) % 0.34/0.60 (define @t95 () (@list @t93)) % 0.34/0.60 (define @t96 () (not (tptp.apply @t71 @t2 @t5))) % 0.34/0.60 (define @t97 () (not (tptp.member @t5 @t70))) % 0.34/0.60 (define @t98 () (not (tptp.member @t2 @t70))) % 0.34/0.60 (define @t99 () (forall @t22 (or @t98 @t97 @t96 (not (tptp.apply @t71 @t5 @t2)) @t17))) % 0.34/0.60 (define @t100 () (and (forall @t25 (or @t98 (tptp.apply @t71 @t2 @t2))) @t99 (forall @t15 (or @t98 @t97 (not (tptp.member @t1 @t70)) @t96 (not (tptp.apply @t71 @t5 @t1)) (tptp.apply @t71 @t2 @t1))))) % 0.34/0.60 (define @t101 () (= @t84 @t100)) % 0.34/0.60 (define @t102 () (@list false false)) % 0.34/0.60 (define @t103 () (@list false)) % 0.34/0.60 (define @t104 () (forall @t25 (or @t98 (tptp.apply @t71 @t85 @t2)))) % 0.34/0.60 (define @t105 () (tptp.member @t85 @t70)) % 0.34/0.60 (define @t106 () (and @t105 @t104)) % 0.34/0.60 (define @t107 () (= @t88 @t106)) % 0.34/0.60 (define @t108 () (not @t106)) % 0.34/0.60 (define @t109 () (@list @t106)) % 0.34/0.60 (define @t110 () (forall @t25 (or @t98 (tptp.apply @t71 @t86 @t2)))) % 0.34/0.60 (define @t111 () (tptp.member @t86 @t70)) % 0.34/0.60 (define @t112 () (and @t111 @t110)) % 0.34/0.60 (define @t113 () (= @t90 @t112)) % 0.34/0.60 (define @t114 () (not @t112)) % 0.34/0.60 (define @t115 () (@list @t112)) % 0.34/0.60 (define @t116 () (tptp.apply @t71 @t85 @t86)) % 0.34/0.60 (define @t117 () (not @t111)) % 0.34/0.60 (define @t118 () (or @t117 @t116)) % 0.34/0.60 (define @t119 () (tptp.apply @t71 @t86 @t85)) % 0.34/0.60 (define @t120 () (not @t105)) % 0.34/0.60 (define @t121 () (or @t120 @t119)) % 0.34/0.60 (define @t122 () (not @t116)) % 0.34/0.60 (define @t123 () (not @t119)) % 0.34/0.60 (define @t124 () (or @t117 @t120 @t123 @t122 @t87)) % 0.34/0.60 (define @t125 () (not @t124)) % 0.34/0.60 (assume @p1 @t31) % 0.34/0.60 (assume @p2 (forall @t30 (= (tptp.total_order @t3 @t10) (and @t28 (forall @t22 (=> @t21 (or @t7 @t18))))))) % 0.34/0.60 (assume @p3 (forall @t35 (= (tptp.upper_bound @t32 @t3 @t10) @t34))) % 0.34/0.60 (assume @p4 (forall @t35 (= (tptp.lower_bound @t32 @t3 @t10) @t37))) % 0.34/0.60 (assume @p5 (forall @t35 (= (tptp.greatest @t32 @t3 @t10) (and @t38 @t34)))) % 0.34/0.60 (assume @p6 @t42) % 0.34/0.60 (assume @p7 (forall @t35 (= (tptp.max @t32 @t3 @t10) (and @t38 (forall @t25 (=> (and @t13 @t36) @t43)))))) % 0.34/0.60 (assume @p8 (forall @t35 (= (tptp.min @t32 @t3 @t10) (and @t38 (forall @t25 (=> (and @t13 @t33) @t43)))))) % 0.34/0.60 (assume @p9 (forall @t47 (= (tptp.least_upper_bound @t44 @t2 @t3 @t10) (and @t46 (tptp.upper_bound @t44 @t3 @t2) (forall @t45 (=> (and @t38 (tptp.upper_bound @t32 @t3 @t2)) (tptp.apply @t3 @t44 @t32))))))) % 0.34/0.60 (assume @p10 (forall @t47 (= (tptp.greatest_lower_bound @t44 @t2 @t3 @t10) (and @t46 (tptp.lower_bound @t44 @t3 @t2) (forall @t45 (=> (and @t38 (tptp.lower_bound @t32 @t3 @t2)) (tptp.apply @t3 @t32 @t44))))))) % 0.34/0.60 (assume @p11 @t54) % 0.34/0.60 (assume @p12 true) % 0.34/0.60 (step @p13 :rule aci_norm :args ((= (or @t61 @t60) (or @t59 @t58 @t57 @t56 @t55 @t4)))) % 0.34/0.60 (step @p14 :rule aci_norm :args ((= (or (or @t56 @t55) @t4) @t60))) % 0.34/0.60 (step @p15 :rule refl :args (@t4)) % 0.34/0.60 (step @p16 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.34/0.60 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or (not @t8) @t4))) % 0.34/0.60 (step @p18 :rule trans :premises (@p17 @p14)) % 0.34/0.60 (step @p19 :rule bool-impl-elim :args (@t8 @t4)) % 0.34/0.60 (step @p20 :rule trans :premises (@p19 @p18)) % 0.34/0.60 (step @p21 :rule aci_norm :args ((= (or @t59 (or @t58 @t57)) @t61))) % 0.34/0.60 (step @p22 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.34/0.60 (step @p23 :rule refl :args (@t59)) % 0.34/0.60 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t59 (not (and @t12 @t11))))) % 0.34/0.60 (step @p25 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11))) % 0.34/0.60 (step @p26 :rule trans :premises (@p25 @p24)) % 0.34/0.60 (step @p27 :rule trans :premises (@p26 @p21)) % 0.34/0.60 (step @p28 :rule nary_cong :premises (@p27 @p20) :args ((or (not @t14) @t9))) % 0.34/0.60 (step @p29 :rule trans :premises (@p28 @p13)) % 0.34/0.60 (step @p30 :rule bool-impl-elim :args (@t14 @t9)) % 0.34/0.60 (step @p31 :rule trans :premises (@p30 @p29)) % 0.34/0.60 (step @p32 :rule cong :premises (@p31) :args (@t16)) % 0.34/0.60 (step @p33 :rule aci_norm :args ((= (or (or @t59 @t58) @t63) (or @t59 @t58 @t56 @t62 @t17)))) % 0.34/0.60 (step @p34 :rule aci_norm :args ((= (or (or @t56 @t62) @t17) @t63))) % 0.34/0.60 (step @p35 :rule refl :args (@t17)) % 0.34/0.60 (step @p36 :rule bool-and-de-morgan :args (@t7 @t18 true)) % 0.34/0.60 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or (not @t19) @t17))) % 0.34/0.60 (step @p38 :rule trans :premises (@p37 @p34)) % 0.34/0.60 (step @p39 :rule bool-impl-elim :args (@t19 @t17)) % 0.34/0.60 (step @p40 :rule trans :premises (@p39 @p38)) % 0.34/0.60 (step @p41 :rule bool-and-de-morgan :args (@t13 @t12 true)) % 0.34/0.60 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t21) @t20))) % 0.34/0.60 (step @p43 :rule trans :premises (@p42 @p33)) % 0.34/0.60 (step @p44 :rule bool-impl-elim :args (@t21 @t20)) % 0.34/0.60 (step @p45 :rule trans :premises (@p44 @p43)) % 0.34/0.60 (step @p46 :rule cong :premises (@p45) :args (@t23)) % 0.34/0.60 (step @p47 :rule bool-impl-elim :args (@t13 @t24)) % 0.34/0.60 (step @p48 :rule cong :premises (@p47) :args (@t26)) % 0.34/0.60 (step @p49 :rule nary_cong :premises (@p48 @p46 @p32) :args (@t27)) % 0.34/0.60 (step @p50 :rule refl :args (@t28)) % 0.34/0.60 (step @p51 :rule cong :premises (@p50 @p49) :args (@t29)) % 0.34/0.60 (step @p52 :rule cong :premises (@p51) :args (@t31)) % 0.34/0.60 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 0.34/0.60 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t71 @t70))) % 0.34/0.60 (step @p55 :rule eq-symm :args (@t64 @t32)) % 0.34/0.60 (step @p56 :rule refl :args (@t65)) % 0.34/0.60 (step @p57 :rule refl :args (@t66)) % 0.34/0.60 (step @p58 :rule refl :args (@t67)) % 0.34/0.60 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56 @p55) :args (@t73)) % 0.34/0.60 (step @p60 :rule aci_norm :args ((= @t75 @t73))) % 0.34/0.60 (step @p61 :rule trans :premises (@p60 @p59)) % 0.34/0.60 (step @p62 :rule cong :premises (@p61) :args (@t76)) % 0.34/0.60 (step @p63 :rule quant-merge-prenex :args ((= (forall @t35 @t78) @t76))) % 0.34/0.60 (step @p64 :rule alpha_equiv :args (@t79 (@list @t64) (@list @t2))) % 0.34/0.60 (step @p65 :rule refl :args (@t66)) % 0.34/0.60 (step @p66 :rule refl :args (@t67)) % 0.34/0.60 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64) :args (@t80)) % 0.34/0.60 (step @p68 :rule quant-miniscope-or :args ((= @t78 @t80))) % 0.34/0.60 (step @p69 :rule trans :premises (@p68 @p67)) % 0.34/0.60 (step @p70 :rule symm :premises (@p69)) % 0.34/0.60 (step @p71 :rule cong :premises (@p70) :args ((forall @t35 @t83))) % 0.34/0.60 (step @p72 :rule trans :premises (@p71 @p63)) % 0.34/0.60 (step @p73 :rule trans :premises (@p72 @p62)) % 0.34/0.60 (step @p74 :rule aci_norm :args ((= (or (or @t67 @t66) @t82) @t83))) % 0.34/0.60 (step @p75 :rule refl :args (@t82)) % 0.34/0.60 (step @p76 :rule bool-and-de-morgan :args (@t28 @t40 true)) % 0.34/0.60 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t51) @t82))) % 0.34/0.60 (step @p78 :rule trans :premises (@p77 @p74)) % 0.34/0.60 (step @p79 :rule bool-impl-elim :args (@t51 @t82)) % 0.34/0.60 (step @p80 :rule trans :premises (@p79 @p78)) % 0.34/0.60 (step @p81 :rule cong :premises (@p80) :args ((forall @t35 (=> @t51 @t82)))) % 0.34/0.60 (step @p82 :rule trans :premises (@p81 @p73)) % 0.34/0.60 (step @p83 :rule bool-impl-elim :args (@t48 @t81)) % 0.34/0.60 (step @p84 :rule cong :premises (@p83) :args ((forall @t25 (=> @t48 @t81)))) % 0.34/0.60 (step @p85 :rule eq-symm :args (@t32 @t2)) % 0.34/0.60 (step @p86 :rule refl :args (@t48)) % 0.34/0.60 (step @p87 :rule cong :premises (@p86 @p85) :args (@t49)) % 0.34/0.60 (step @p88 :rule cong :premises (@p87) :args (@t50)) % 0.34/0.60 (step @p89 :rule trans :premises (@p88 @p84)) % 0.34/0.60 (step @p90 :rule refl :args (@t51)) % 0.34/0.60 (step @p91 :rule cong :premises (@p90 @p89) :args (@t52)) % 0.34/0.60 (step @p92 :rule cong :premises (@p91) :args (@t53)) % 0.34/0.60 (step @p93 :rule trans :premises (@p92 @p82)) % 0.34/0.60 (step @p94 :rule cong :premises (@p93) :args (@t54)) % 0.34/0.60 (step @p95 :rule eq_resolve :premises (@p11 @p94)) % 0.34/0.60 (step @p96 :rule skolemize :premises (@p95)) % 0.34/0.60 (step @p97 :rule bool-double-not-elim :args (@t84)) % 0.34/0.60 (step @p98 :rule refl :args (@t93)) % 0.34/0.60 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t93 (not @t92)))) % 0.34/0.60 (step @p100 :rule cnf_or_neg :args (@t93 0)) % 0.34/0.60 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 0.34/0.60 (step @p102 :rule reordering :premises (@p101) :args ((or @t84 @t93))) % 0.34/0.60 (step @p103 :rule chain_m_resolution :premises (@p102 @p96) :args (@t84 @t94 @t95)) % 0.34/0.60 (step @p104 :rule cnf_equiv_pos1 :args (@t101)) % 0.34/0.60 (step @p105 :rule reordering :premises (@p104) :args ((or @t92 @t100 (not @t101)))) % 0.34/0.60 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p54) :args (@t100 @t102 (@list @t84 @t101))) % 0.34/0.60 (step @p107 :rule cnf_and_pos :args (@t100 1)) % 0.34/0.60 (step @p108 :rule reordering :premises (@p107) :args ((or @t99 (not @t100)))) % 0.34/0.60 (step @p109 :rule chain_m_resolution :premises (@p108 @p106) :args (@t99 @t103 (@list @t100))) % 0.34/0.60 (step @p110 :rule bool-impl-elim :args (@t13 @t36)) % 0.34/0.60 (step @p111 :rule cong :premises (@p110) :args (@t37)) % 0.34/0.60 (step @p112 :rule refl :args (@t38)) % 0.34/0.60 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t39)) % 0.34/0.60 (step @p114 :rule refl :args (@t40)) % 0.34/0.60 (step @p115 :rule cong :premises (@p114 @p113) :args (@t41)) % 0.34/0.60 (step @p116 :rule cong :premises (@p115) :args (@t42)) % 0.34/0.60 (step @p117 :rule eq_resolve :premises (@p6 @p116)) % 0.34/0.60 (step @p118 :rule instantiate :premises (@p117) :args ((@list @t71 @t70 @t85))) % 0.34/0.60 (step @p119 :rule bool-double-not-elim :args (@t88)) % 0.34/0.60 (step @p120 :rule nary_cong :premises (@p98 @p119) :args ((or @t93 (not @t89)))) % 0.34/0.60 (step @p121 :rule cnf_or_neg :args (@t93 2)) % 0.34/0.60 (step @p122 :rule eq_resolve :premises (@p121 @p120)) % 0.34/0.60 (step @p123 :rule reordering :premises (@p122) :args ((or @t88 @t93))) % 0.34/0.60 (step @p124 :rule chain_m_resolution :premises (@p123 @p96) :args (@t88 @t94 @t95)) % 0.34/0.60 (step @p125 :rule cnf_equiv_pos1 :args (@t107)) % 0.34/0.60 (step @p126 :rule reordering :premises (@p125) :args ((or @t89 @t106 (not @t107)))) % 0.34/0.60 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p118) :args (@t106 @t102 (@list @t88 @t107))) % 0.34/0.60 (step @p128 :rule cnf_and_pos :args (@t106 1)) % 0.34/0.60 (step @p129 :rule reordering :premises (@p128) :args ((or @t104 @t108))) % 0.34/0.60 (step @p130 :rule chain_m_resolution :premises (@p129 @p127) :args (@t104 @t103 @t109)) % 0.34/0.60 (step @p131 :rule instantiate :premises (@p130) :args ((@list @t86))) % 0.34/0.60 (step @p132 :rule instantiate :premises (@p117) :args ((@list @t71 @t70 @t86))) % 0.34/0.60 (step @p133 :rule bool-double-not-elim :args (@t90)) % 0.34/0.60 (step @p134 :rule nary_cong :premises (@p98 @p133) :args ((or @t93 (not @t91)))) % 0.34/0.60 (step @p135 :rule cnf_or_neg :args (@t93 1)) % 0.34/0.60 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 0.34/0.60 (step @p137 :rule reordering :premises (@p136) :args ((or @t90 @t93))) % 0.34/0.60 (step @p138 :rule chain_m_resolution :premises (@p137 @p96) :args (@t90 @t94 @t95)) % 0.34/0.60 (step @p139 :rule cnf_equiv_pos1 :args (@t113)) % 0.34/0.60 (step @p140 :rule reordering :premises (@p139) :args ((or @t91 @t112 (not @t113)))) % 0.34/0.60 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p132) :args (@t112 @t102 (@list @t90 @t113))) % 0.34/0.60 (step @p142 :rule cnf_and_pos :args (@t112 0)) % 0.34/0.60 (step @p143 :rule reordering :premises (@p142) :args ((or @t111 @t114))) % 0.34/0.60 (step @p144 :rule chain_m_resolution :premises (@p143 @p141) :args (@t111 @t103 @t115)) % 0.34/0.60 (step @p145 :rule cnf_or_pos :args (@t118)) % 0.34/0.60 (step @p146 :rule reordering :premises (@p145) :args ((or @t117 @t116 (not @t118)))) % 0.34/0.60 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p131) :args (@t116 @t102 (@list @t111 @t118))) % 0.34/0.60 (step @p148 :rule cnf_and_pos :args (@t112 1)) % 0.34/0.60 (step @p149 :rule reordering :premises (@p148) :args ((or @t110 @t114))) % 0.34/0.60 (step @p150 :rule chain_m_resolution :premises (@p149 @p141) :args (@t110 @t103 @t115)) % 0.34/0.60 (step @p151 :rule instantiate :premises (@p150) :args ((@list @t85))) % 0.34/0.60 (step @p152 :rule cnf_and_pos :args (@t106 0)) % 0.34/0.60 (step @p153 :rule reordering :premises (@p152) :args ((or @t105 @t108))) % 0.34/0.60 (step @p154 :rule chain_m_resolution :premises (@p153 @p127) :args (@t105 @t103 @t109)) % 0.34/0.60 (step @p155 :rule cnf_or_pos :args (@t121)) % 0.34/0.60 (step @p156 :rule reordering :premises (@p155) :args ((or @t120 @t119 (not @t121)))) % 0.34/0.60 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p151) :args (@t119 @t102 (@list @t105 @t121))) % 0.34/0.60 (step @p158 :rule cnf_or_neg :args (@t93 3)) % 0.34/0.60 (step @p159 :rule chain_m_resolution :premises (@p158 @p96) :args ((not @t87) @t94 @t95)) % 0.34/0.60 (step @p160 :rule cnf_or_pos :args (@t124)) % 0.34/0.60 (step @p161 :rule reordering :premises (@p160) :args ((or @t87 @t117 @t120 @t123 @t122 @t125))) % 0.34/0.60 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p144 @p154 @p157 @p147) :args (@t125 (@list true false false false false) (@list @t87 @t111 @t105 @t119 @t116))) % 0.34/0.60 (assume-push @p169 @t99) % 0.34/0.60 (step @p164 :rule instantiate :premises (@p109) :args ((@list @t86 @t85))) % 0.34/0.60 (step-pop @p170 :rule scope :premises (@p164)) % 0.34/0.60 (step @p165 :rule process_scope :premises (@p170) :args (@t124)) % 0.34/0.60 (step @p167 :rule implies_elim :premises (@p165)) % 0.34/0.60 (step @p168 false :rule chain_m_resolution :premises (@p167 @p162 @p109) :args (false (@list true false) (@list @t124 @t99))) % 0.34/0.60 ) % 0.34/0.60 % SZS output end Proof % 0.34/0.60 % cvc5 exiting %------------------------------------------------------------------------------