%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS144+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:29:00 AM UTC 2026 % Result : Theorem 0.40s 0.59s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS144+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.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 05:28:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.59 % SZS status Theorem % 0.40/0.59 % SZS output start Proof % 0.40/0.59 ( % 0.40/0.59 (declare-sort $$unsorted 0) % 0.40/0.59 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.rp (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.40/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.40/0.59 (define @t2 () (@var "A" $$unsorted)) % 0.40/0.59 (define @t3 () (= @t2 @t1)) % 0.40/0.59 (define @t4 () (@list @t2 @t1)) % 0.40/0.59 (define @t5 () (@var "C" $$unsorted)) % 0.40/0.59 (define @t6 () (@list @t2 @t1 @t5)) % 0.40/0.59 (define @t7 () (@var "X" $$unsorted)) % 0.40/0.59 (define @t8 () (not (tptp.cowlNothing @t7))) % 0.40/0.59 (define @t9 () (tptp.cowlThing @t7)) % 0.40/0.59 (define @t10 () (@list @t7)) % 0.40/0.59 (define @t11 () (forall @t10 (and @t9 @t8))) % 0.40/0.59 (define @t12 () (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.40/0.59 (define @t13 () (@var "Y2" $$unsorted)) % 0.40/0.59 (define @t14 () (@var "Y1" $$unsorted)) % 0.40/0.59 (define @t15 () (= @t14 @t13)) % 0.40/0.59 (define @t16 () (@var "Y0" $$unsorted)) % 0.40/0.59 (define @t17 () (= @t16 @t13)) % 0.40/0.59 (define @t18 () (= @t16 @t14)) % 0.40/0.59 (define @t19 () (or @t18 @t17 @t15)) % 0.40/0.59 (define @t20 () (tptp.rp @t7 @t13)) % 0.40/0.59 (define @t21 () (tptp.rp @t7 @t14)) % 0.40/0.59 (define @t22 () (tptp.rp @t7 @t16)) % 0.40/0.59 (define @t23 () (and @t22 @t21 @t20)) % 0.40/0.59 (define @t24 () (@list @t16 @t14 @t13)) % 0.40/0.59 (define @t25 () (forall @t24 (=> @t23 @t19))) % 0.40/0.59 (define @t26 () (not @t18)) % 0.40/0.59 (define @t27 () (and @t22 @t21 @t26)) % 0.40/0.59 (define @t28 () (@list @t16 @t14)) % 0.40/0.59 (define @t29 () (exists @t28 @t27)) % 0.40/0.59 (define @t30 () (and @t29 @t25)) % 0.40/0.59 (define @t31 () (tptp.cc @t7)) % 0.40/0.59 (define @t32 () (=> @t31 @t30)) % 0.40/0.59 (define @t33 () (forall @t10 @t32)) % 0.40/0.59 (define @t34 () (=> @t31 @t29)) % 0.40/0.59 (define @t35 () (forall @t10 @t34)) % 0.40/0.59 (define @t36 () (=> @t31 @t25)) % 0.40/0.59 (define @t37 () (forall @t10 @t36)) % 0.40/0.59 (define @t38 () (and @t11 @t12 @t37 @t35)) % 0.40/0.59 (define @t39 () (not @t38)) % 0.40/0.59 (define @t40 () (@var "BOUND_VARIABLE_7623" $$unsorted)) % 0.40/0.59 (define @t41 () (@var "BOUND_VARIABLE_7621" $$unsorted)) % 0.40/0.59 (define @t42 () (@var "BOUND_VARIABLE_7619" $$unsorted)) % 0.40/0.59 (define @t43 () (or (not (tptp.rp @t7 @t42)) (not (tptp.rp @t7 @t41)) (not (tptp.rp @t7 @t40)) (= @t42 @t41) (= @t42 @t40) (= @t41 @t40))) % 0.40/0.59 (define @t44 () (not @t21)) % 0.40/0.59 (define @t45 () (not @t22)) % 0.40/0.59 (define @t46 () (not (forall @t28 (or @t45 @t44 @t18)))) % 0.40/0.59 (define @t47 () (and @t46 @t43)) % 0.40/0.59 (define @t48 () (not @t31)) % 0.40/0.59 (define @t49 () (or @t48 @t47)) % 0.40/0.59 (define @t50 () (forall (@list @t7 @t42 @t41 @t40) @t49)) % 0.40/0.59 (define @t51 () (@list @t42 @t41 @t40)) % 0.40/0.59 (define @t52 () (forall @t51 @t49)) % 0.40/0.59 (define @t53 () (forall @t51 @t43)) % 0.40/0.59 (define @t54 () (@list @t16 @t14 @t13)) % 0.40/0.59 (define @t55 () (forall @t51 @t46)) % 0.40/0.59 (define @t56 () (and @t55 @t53)) % 0.40/0.59 (define @t57 () (forall @t51 @t47)) % 0.40/0.59 (define @t58 () (or @t48 @t57)) % 0.40/0.59 (define @t59 () (not @t20)) % 0.40/0.59 (define @t60 () (or @t45 @t44 @t59 @t18 @t17 @t15)) % 0.40/0.59 (define @t61 () (forall @t24 @t60)) % 0.40/0.59 (define @t62 () (and @t46 @t61)) % 0.40/0.59 (define @t63 () (or @t45 @t44 @t59)) % 0.40/0.59 (define @t64 () (not @t26)) % 0.40/0.59 (define @t65 () (or @t45 @t44 @t64)) % 0.40/0.59 (define @t66 () (forall @t28 (not @t27))) % 0.40/0.59 (define @t67 () (not @t66)) % 0.40/0.59 (define @t68 () (@var "BOUND_VARIABLE_7648" $$unsorted)) % 0.40/0.59 (define @t69 () (@var "BOUND_VARIABLE_7646" $$unsorted)) % 0.40/0.59 (define @t70 () (= @t69 @t68)) % 0.40/0.59 (define @t71 () (@var "BOUND_VARIABLE_7644" $$unsorted)) % 0.40/0.59 (define @t72 () (= @t71 @t68)) % 0.40/0.59 (define @t73 () (= @t71 @t69)) % 0.40/0.59 (define @t74 () (not (tptp.rp @t7 @t68))) % 0.40/0.59 (define @t75 () (not (tptp.rp @t7 @t69))) % 0.40/0.59 (define @t76 () (not (tptp.rp @t7 @t71))) % 0.40/0.59 (define @t77 () (or @t48 @t76 @t75 @t74 @t73 @t72 @t70)) % 0.40/0.59 (define @t78 () (@list @t7 @t71 @t69 @t68)) % 0.40/0.59 (define @t79 () (forall @t78 @t77)) % 0.40/0.59 (define @t80 () (@quantifiers_skolemize @t79 2)) % 0.40/0.59 (define @t81 () (@quantifiers_skolemize @t79 1)) % 0.40/0.59 (define @t82 () (@quantifiers_skolemize @t79 3)) % 0.40/0.59 (define @t83 () (@quantifiers_skolemize @t79 0)) % 0.40/0.59 (define @t84 () (tptp.rp @t83 @t81)) % 0.40/0.59 (define @t85 () (not @t84)) % 0.40/0.59 (define @t86 () (tptp.rp @t83 @t80)) % 0.40/0.59 (define @t87 () (not @t86)) % 0.40/0.59 (define @t88 () (tptp.rp @t83 @t82)) % 0.40/0.59 (define @t89 () (not @t88)) % 0.40/0.59 (define @t90 () (or @t89 @t87 @t85 (= @t82 @t80) (= @t82 @t81) (= @t80 @t81))) % 0.40/0.59 (define @t91 () (not (forall @t28 (or (not (tptp.rp @t83 @t16)) (not (tptp.rp @t83 @t14)) @t18)))) % 0.40/0.59 (define @t92 () (and @t91 @t90)) % 0.40/0.59 (define @t93 () (tptp.cc @t83)) % 0.40/0.59 (define @t94 () (not @t93)) % 0.40/0.59 (define @t95 () (or @t94 @t92)) % 0.40/0.59 (define @t96 () (= @t81 @t80)) % 0.40/0.59 (define @t97 () (= @t81 @t82)) % 0.40/0.59 (define @t98 () (= @t80 @t82)) % 0.40/0.59 (define @t99 () (or @t89 @t87 @t85 @t98 @t97 @t96)) % 0.40/0.59 (define @t100 () (and @t91 @t99)) % 0.40/0.59 (define @t101 () (or @t94 @t100)) % 0.40/0.59 (define @t102 () (@list false)) % 0.40/0.59 (define @t103 () (@list @t50)) % 0.40/0.59 (define @t104 () (forall @t10 (or @t48 @t46))) % 0.40/0.59 (define @t105 () (@quantifiers_skolemize @t104 0)) % 0.40/0.59 (define @t106 () (not (forall @t28 (or (not (tptp.rp @t105 @t16)) (not (tptp.rp @t105 @t14)) @t18)))) % 0.40/0.59 (define @t107 () (not (tptp.rp @t105 @t81))) % 0.40/0.59 (define @t108 () (= @t81 @t81)) % 0.40/0.59 (define @t109 () (or @t107 @t107 @t107 @t108 @t108 @t108)) % 0.40/0.59 (define @t110 () (and @t106 @t109)) % 0.40/0.59 (define @t111 () (not (tptp.cc @t105))) % 0.40/0.59 (define @t112 () (or @t111 @t110)) % 0.40/0.59 (define @t113 () (or @t111 @t106)) % 0.40/0.59 (define @t114 () (not @t113)) % 0.40/0.59 (define @t115 () (not @t104)) % 0.40/0.59 (define @t116 () (forall @t10 @t8)) % 0.40/0.59 (define @t117 () (@list @t7)) % 0.40/0.59 (define @t118 () (@var "BOUND_VARIABLE_7592" $$unsorted)) % 0.40/0.59 (define @t119 () (forall @t10 @t9)) % 0.40/0.59 (define @t120 () (@var "BOUND_VARIABLE_7587" $$unsorted)) % 0.40/0.59 (define @t121 () (and @t119 @t116)) % 0.40/0.59 (define @t122 () (forall (@list @t118) (not (tptp.cowlNothing @t118)))) % 0.40/0.59 (define @t123 () (forall (@list @t120) (tptp.cowlThing @t120))) % 0.40/0.59 (define @t124 () (or @t76 @t75 @t74 @t73 @t72 @t70)) % 0.40/0.59 (define @t125 () (or @t48 @t124)) % 0.40/0.59 (define @t126 () (forall @t78 @t125)) % 0.40/0.59 (define @t127 () (@list @t71 @t69 @t68)) % 0.40/0.59 (define @t128 () (forall @t127 @t125)) % 0.40/0.59 (define @t129 () (forall @t127 @t124)) % 0.40/0.59 (define @t130 () (or @t48 @t129)) % 0.40/0.59 (define @t131 () (not @t79)) % 0.40/0.59 (define @t132 () (or @t94 @t85 @t87 @t89 @t96 @t97 @t98)) % 0.40/0.59 (define @t133 () (not @t132)) % 0.40/0.59 (define @t134 () (@list true)) % 0.40/0.59 (define @t135 () (@list @t132)) % 0.40/0.59 (define @t136 () (not @t99)) % 0.40/0.59 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cc @t2)) (tptp.cc @t1)))) % 0.40/0.59 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.40/0.59 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.40/0.59 (assume @p4 (forall @t6 (=> (and @t3 (tptp.rp @t2 @t5)) (tptp.rp @t1 @t5)))) % 0.40/0.59 (assume @p5 (forall @t6 (=> (and @t3 (tptp.rp @t5 @t2)) (tptp.rp @t5 @t1)))) % 0.40/0.59 (assume @p6 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.40/0.59 (assume @p7 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.40/0.59 (assume @p8 @t11) % 0.40/0.59 (assume @p9 @t12) % 0.40/0.59 (assume @p10 @t33) % 0.40/0.59 (assume @p11 @t39) % 0.40/0.59 (assume @p12 true) % 0.40/0.59 (step @p13 :rule quant-merge-prenex :args ((= (forall @t10 @t52) @t50))) % 0.40/0.59 (step @p14 :rule alpha_equiv :args (@t53 (@list @t42 @t41 @t40) @t54)) % 0.40/0.59 (step @p15 :rule quant-unused-vars :args ((= @t55 @t46))) % 0.40/0.59 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t56)) % 0.40/0.59 (step @p17 :rule quant-miniscope-and :args ((= @t57 @t56))) % 0.40/0.59 (step @p18 :rule trans :premises (@p17 @p16)) % 0.40/0.59 (step @p19 :rule refl :args (@t48)) % 0.40/0.59 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t58)) % 0.40/0.60 (step @p21 :rule quant-miniscope-or :args ((= @t52 @t58))) % 0.40/0.60 (step @p22 :rule trans :premises (@p21 @p20)) % 0.40/0.60 (step @p23 :rule symm :premises (@p22)) % 0.40/0.60 (step @p24 :rule cong :premises (@p23) :args ((forall @t10 (or @t48 @t62)))) % 0.40/0.60 (step @p25 :rule trans :premises (@p24 @p13)) % 0.40/0.60 (step @p26 :rule bool-impl-elim :args (@t31 @t62)) % 0.40/0.60 (step @p27 :rule cong :premises (@p26) :args ((forall @t10 (=> @t31 @t62)))) % 0.40/0.60 (step @p28 :rule trans :premises (@p27 @p25)) % 0.40/0.60 (step @p29 :rule aci_norm :args ((= (or @t63 @t19) @t60))) % 0.40/0.60 (step @p30 :rule refl :args (@t19)) % 0.40/0.60 (step @p31 :rule aci_norm :args ((= (or @t45 (or @t44 @t59)) @t63))) % 0.40/0.60 (step @p32 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 0.40/0.60 (step @p33 :rule refl :args (@t45)) % 0.40/0.60 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t45 (not (and @t21 @t20))))) % 0.40/0.60 (step @p35 :rule bool-and-de-morgan :args (@t22 @t21 (and @t20))) % 0.40/0.60 (step @p36 :rule trans :premises (@p35 @p34)) % 0.40/0.60 (step @p37 :rule trans :premises (@p36 @p31)) % 0.40/0.60 (step @p38 :rule nary_cong :premises (@p37 @p30) :args ((or (not @t23) @t19))) % 0.40/0.60 (step @p39 :rule trans :premises (@p38 @p29)) % 0.40/0.60 (step @p40 :rule bool-impl-elim :args (@t23 @t19)) % 0.40/0.60 (step @p41 :rule trans :premises (@p40 @p39)) % 0.40/0.60 (step @p42 :rule cong :premises (@p41) :args (@t25)) % 0.40/0.60 (step @p43 :rule bool-double-not-elim :args (@t18)) % 0.40/0.60 (step @p44 :rule refl :args (@t44)) % 0.40/0.60 (step @p45 :rule nary_cong :premises (@p33 @p44 @p43) :args (@t65)) % 0.40/0.60 (step @p46 :rule aci_norm :args ((= (or @t45 (or @t44 @t64)) @t65))) % 0.40/0.60 (step @p47 :rule trans :premises (@p46 @p45)) % 0.40/0.60 (step @p48 :rule bool-and-de-morgan :args (@t21 @t26 true)) % 0.40/0.60 (step @p49 :rule nary_cong :premises (@p33 @p48) :args ((or @t45 (not (and @t21 @t26))))) % 0.40/0.60 (step @p50 :rule bool-and-de-morgan :args (@t22 @t21 (and @t26))) % 0.40/0.60 (step @p51 :rule trans :premises (@p50 @p49)) % 0.40/0.60 (step @p52 :rule trans :premises (@p51 @p47)) % 0.40/0.60 (step @p53 :rule cong :premises (@p52) :args (@t66)) % 0.40/0.60 (step @p54 :rule cong :premises (@p53) :args (@t67)) % 0.40/0.60 (step @p55 :rule exists-elim :args ((= @t29 @t67))) % 0.40/0.60 (step @p56 :rule trans :premises (@p55 @p54)) % 0.40/0.60 (step @p57 :rule nary_cong :premises (@p56 @p42) :args (@t30)) % 0.40/0.60 (step @p58 :rule refl :args (@t31)) % 0.40/0.60 (step @p59 :rule cong :premises (@p58 @p57) :args (@t32)) % 0.40/0.60 (step @p60 :rule cong :premises (@p59) :args (@t33)) % 0.40/0.60 (step @p61 :rule trans :premises (@p60 @p28)) % 0.40/0.60 (step @p62 :rule eq_resolve :premises (@p10 @p61)) % 0.40/0.60 (step @p63 :rule eq-symm :args (@t80 @t81)) % 0.40/0.60 (step @p64 :rule eq-symm :args (@t82 @t81)) % 0.40/0.60 (step @p65 :rule eq-symm :args (@t82 @t80)) % 0.40/0.60 (step @p66 :rule refl :args (@t85)) % 0.40/0.60 (step @p67 :rule refl :args (@t87)) % 0.40/0.60 (step @p68 :rule refl :args (@t89)) % 0.40/0.60 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66 @p65 @p64 @p63) :args (@t90)) % 0.40/0.60 (step @p70 :rule refl :args (@t91)) % 0.40/0.60 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t92)) % 0.40/0.60 (step @p72 :rule refl :args (@t94)) % 0.40/0.60 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t95)) % 0.40/0.60 (step @p74 :rule refl :args (@t50)) % 0.40/0.60 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t50 @t95))) % 0.40/0.60 (assume-push @p201 @t50) % 0.40/0.60 (step @p77 :rule instantiate :premises (@p62) :args ((@list @t83 @t82 @t80 @t81))) % 0.40/0.60 (step-pop @p202 :rule scope :premises (@p77)) % 0.40/0.60 (step @p78 :rule process_scope :premises (@p202) :args (@t95)) % 0.40/0.60 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 0.40/0.60 (step @p81 :rule implies_elim :premises (@p80)) % 0.40/0.60 (step @p82 :rule chain_m_resolution :premises (@p81 @p62) :args (@t101 @t102 @t103)) % 0.40/0.60 (step @p83 :rule aci_norm :args ((= (and @t106 true) @t106))) % 0.40/0.60 (step @p84 :rule absorb :args ((= (or @t107 @t107 @t107 true true true) true))) % 0.40/0.60 (step @p85 :rule eq-refl :args (@t81)) % 0.40/0.60 (step @p86 :rule refl :args (@t107)) % 0.40/0.60 (step @p87 :rule nary_cong :premises (@p86 @p86 @p86 @p85 @p85 @p85) :args (@t109)) % 0.40/0.60 (step @p88 :rule trans :premises (@p87 @p84)) % 0.40/0.60 (step @p89 :rule refl :args (@t106)) % 0.40/0.60 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t110)) % 0.40/0.60 (step @p91 :rule trans :premises (@p90 @p83)) % 0.40/0.60 (step @p92 :rule refl :args (@t111)) % 0.40/0.60 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t112)) % 0.40/0.60 (step @p94 :rule cong :premises (@p74 @p93) :args ((=> @t50 @t112))) % 0.40/0.60 (assume-push @p203 @t50) % 0.40/0.60 (step @p96 :rule instantiate :premises (@p62) :args ((@list @t105 @t81 @t81 @t81))) % 0.40/0.60 (step-pop @p204 :rule scope :premises (@p96)) % 0.40/0.60 (step @p97 :rule process_scope :premises (@p204) :args (@t112)) % 0.40/0.60 (step @p99 :rule eq_resolve :premises (@p97 @p94)) % 0.40/0.60 (step @p100 :rule implies_elim :premises (@p99)) % 0.40/0.60 (step @p101 :rule chain_m_resolution :premises (@p100 @p62) :args (@t113 @t102 @t103)) % 0.40/0.60 (step @p102 :rule refl :args (@t114)) % 0.40/0.60 (step @p103 :rule bool-double-not-elim :args (@t104)) % 0.40/0.60 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or (not @t115) @t114))) % 0.40/0.60 (assume-push @p205 @t115) % 0.40/0.60 (step @p106 :rule skolemize :premises (@p205)) % 0.40/0.60 (step-pop @p206 :rule scope :premises (@p106)) % 0.40/0.60 (step @p107 :rule process_scope :premises (@p206) :args (@t114)) % 0.40/0.60 (step @p109 :rule implies_elim :premises (@p107)) % 0.40/0.60 (step @p110 :rule eq_resolve :premises (@p109 @p104)) % 0.40/0.60 (step @p111 :rule chain_m_resolution :premises (@p110 @p101) :args (@t104 @t102 (@list @t113))) % 0.40/0.60 (step @p112 :rule alpha_equiv :args (@t116 @t117 (@list @t118))) % 0.40/0.60 (step @p113 :rule alpha_equiv :args (@t119 @t117 (@list @t120))) % 0.40/0.60 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t121)) % 0.40/0.60 (step @p115 :rule quant-miniscope-and :args ((= @t11 @t121))) % 0.40/0.60 (step @p116 :rule trans :premises (@p115 @p114)) % 0.40/0.60 (step @p117 :rule eq_resolve :premises (@p8 @p116)) % 0.40/0.60 (step @p118 :rule and_elim :premises (@p117) :args (1)) % 0.40/0.60 (step @p119 :rule and_elim :premises (@p117) :args (0)) % 0.40/0.60 (step @p120 :rule aci_norm :args ((= (and (and @t123 @t122) @t12 @t79 @t104) (and @t12 @t79 @t104 @t123 @t122)))) % 0.40/0.60 (step @p121 :rule bool-impl-elim :args (@t31 @t46)) % 0.40/0.60 (step @p122 :rule cong :premises (@p121) :args ((forall @t10 (=> @t31 @t46)))) % 0.40/0.60 (step @p123 :rule cong :premises (@p58 @p56) :args (@t34)) % 0.40/0.60 (step @p124 :rule cong :premises (@p123) :args (@t35)) % 0.40/0.60 (step @p125 :rule trans :premises (@p124 @p122)) % 0.40/0.60 (step @p126 :rule aci_norm :args ((= @t125 @t77))) % 0.40/0.60 (step @p127 :rule cong :premises (@p126) :args (@t126)) % 0.40/0.60 (step @p128 :rule quant-merge-prenex :args ((= (forall @t10 @t128) @t126))) % 0.40/0.60 (step @p129 :rule alpha_equiv :args (@t129 (@list @t71 @t69 @t68) @t54)) % 0.40/0.60 (step @p130 :rule nary_cong :premises (@p19 @p129) :args (@t130)) % 0.40/0.60 (step @p131 :rule quant-miniscope-or :args ((= @t128 @t130))) % 0.40/0.60 (step @p132 :rule trans :premises (@p131 @p130)) % 0.40/0.60 (step @p133 :rule symm :premises (@p132)) % 0.40/0.60 (step @p134 :rule cong :premises (@p133) :args ((forall @t10 (or @t48 @t61)))) % 0.40/0.60 (step @p135 :rule trans :premises (@p134 @p128)) % 0.40/0.60 (step @p136 :rule trans :premises (@p135 @p127)) % 0.40/0.60 (step @p137 :rule bool-impl-elim :args (@t31 @t61)) % 0.40/0.60 (step @p138 :rule cong :premises (@p137) :args ((forall @t10 (=> @t31 @t61)))) % 0.40/0.60 (step @p139 :rule trans :premises (@p138 @p136)) % 0.40/0.60 (step @p140 :rule cong :premises (@p58 @p42) :args (@t36)) % 0.40/0.60 (step @p141 :rule cong :premises (@p140) :args (@t37)) % 0.40/0.60 (step @p142 :rule trans :premises (@p141 @p139)) % 0.40/0.60 (step @p143 :rule refl :args (@t12)) % 0.40/0.60 (step @p144 :rule nary_cong :premises (@p116 @p143 @p142 @p125) :args (@t38)) % 0.40/0.60 (step @p145 :rule trans :premises (@p144 @p120)) % 0.40/0.60 (step @p146 :rule cong :premises (@p145) :args (@t39)) % 0.40/0.60 (step @p147 :rule eq_resolve :premises (@p11 @p146)) % 0.40/0.60 (step @p148 :rule not_and :premises (@p147)) % 0.40/0.60 (step @p149 :rule reordering :premises (@p148) :args ((or (not @t123) (not @t122) (not @t12) @t131 @t115))) % 0.40/0.60 (step @p150 :rule chain_m_resolution :premises (@p149 @p119 @p118 @p9 @p111) :args (@t131 (@list false false false false) (@list @t123 @t122 @t12 @t104))) % 0.40/0.60 (step @p151 :rule refl :args (@t133)) % 0.40/0.60 (step @p152 :rule bool-double-not-elim :args (@t79)) % 0.40/0.60 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or (not @t131) @t133))) % 0.40/0.60 (assume-push @p207 @t131) % 0.40/0.60 (step @p155 :rule skolemize :premises (@p207)) % 0.40/0.60 (step-pop @p208 :rule scope :premises (@p155)) % 0.40/0.60 (step @p156 :rule process_scope :premises (@p208) :args (@t133)) % 0.40/0.60 (step @p158 :rule implies_elim :premises (@p156)) % 0.40/0.60 (step @p159 :rule eq_resolve :premises (@p158 @p153)) % 0.40/0.60 (step @p160 :rule chain_m_resolution :premises (@p159 @p150) :args (@t133 @t134 (@list @t79))) % 0.40/0.60 (step @p161 :rule bool-double-not-elim :args (@t93)) % 0.40/0.60 (step @p162 :rule refl :args (@t132)) % 0.40/0.60 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t132 (not @t94)))) % 0.40/0.60 (step @p164 :rule cnf_or_neg :args (@t132 0)) % 0.40/0.60 (step @p165 :rule eq_resolve :premises (@p164 @p163)) % 0.40/0.60 (step @p166 :rule reordering :premises (@p165) :args ((or @t93 @t132))) % 0.40/0.60 (step @p167 :rule chain_m_resolution :premises (@p166 @p160) :args (@t93 @t134 @t135)) % 0.40/0.60 (step @p168 :rule cnf_or_pos :args (@t101)) % 0.40/0.60 (step @p169 :rule reordering :premises (@p168) :args ((or @t94 @t100 (not @t101)))) % 0.40/0.60 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p82) :args (@t100 (@list false false) (@list @t93 @t101))) % 0.40/0.60 (step @p171 :rule cnf_or_neg :args (@t132 6)) % 0.40/0.60 (step @p172 :rule chain_m_resolution :premises (@p171 @p160) :args ((not @t98) @t134 @t135)) % 0.40/0.60 (step @p173 :rule cnf_or_neg :args (@t132 5)) % 0.40/0.60 (step @p174 :rule chain_m_resolution :premises (@p173 @p160) :args ((not @t97) @t134 @t135)) % 0.40/0.60 (step @p175 :rule cnf_or_neg :args (@t132 4)) % 0.40/0.60 (step @p176 :rule chain_m_resolution :premises (@p175 @p160) :args ((not @t96) @t134 @t135)) % 0.40/0.60 (step @p177 :rule bool-double-not-elim :args (@t88)) % 0.40/0.60 (step @p178 :rule nary_cong :premises (@p162 @p177) :args ((or @t132 (not @t89)))) % 0.40/0.60 (step @p179 :rule cnf_or_neg :args (@t132 3)) % 0.40/0.60 (step @p180 :rule eq_resolve :premises (@p179 @p178)) % 0.40/0.60 (step @p181 :rule reordering :premises (@p180) :args ((or @t88 @t132))) % 0.40/0.60 (step @p182 :rule chain_m_resolution :premises (@p181 @p160) :args (@t88 @t134 @t135)) % 0.40/0.60 (step @p183 :rule bool-double-not-elim :args (@t86)) % 0.40/0.60 (step @p184 :rule nary_cong :premises (@p162 @p183) :args ((or @t132 (not @t87)))) % 0.40/0.60 (step @p185 :rule cnf_or_neg :args (@t132 2)) % 0.40/0.60 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.40/0.60 (step @p187 :rule reordering :premises (@p186) :args ((or @t86 @t132))) % 0.40/0.60 (step @p188 :rule chain_m_resolution :premises (@p187 @p160) :args (@t86 @t134 @t135)) % 0.40/0.60 (step @p189 :rule bool-double-not-elim :args (@t84)) % 0.40/0.60 (step @p190 :rule nary_cong :premises (@p162 @p189) :args ((or @t132 (not @t85)))) % 0.40/0.60 (step @p191 :rule cnf_or_neg :args (@t132 1)) % 0.40/0.60 (step @p192 :rule eq_resolve :premises (@p191 @p190)) % 0.40/0.60 (step @p193 :rule reordering :premises (@p192) :args ((or @t84 @t132))) % 0.40/0.60 (step @p194 :rule chain_m_resolution :premises (@p193 @p160) :args (@t84 @t134 @t135)) % 0.40/0.60 (step @p195 :rule cnf_or_pos :args (@t99)) % 0.40/0.60 (step @p196 :rule reordering :premises (@p195) :args ((or @t85 @t87 @t89 @t96 @t97 @t98 @t136))) % 0.40/0.60 (step @p197 :rule chain_m_resolution :premises (@p196 @p194 @p188 @p182 @p176 @p174 @p172) :args (@t136 (@list false false false true true true) (@list @t84 @t86 @t88 @t96 @t97 @t98))) % 0.40/0.60 (step @p198 :rule cnf_and_pos :args (@t100 1)) % 0.40/0.60 (step @p199 :rule reordering :premises (@p198) :args ((or @t99 (not @t100)))) % 0.40/0.60 (step @p200 false :rule chain_m_resolution :premises (@p199 @p197 @p170) :args (false (@list true false) (@list @t99 @t100))) % 0.40/0.60 ) % 0.40/0.60 % SZS output end Proof % 0.40/0.60 % cvc5 exiting %------------------------------------------------------------------------------