%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS143+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 : 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 08:29:00 AM UTC 2026 % Result : Theorem 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : KRS143+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.13/0.32 % Computer : n014.cluster.edu % 0.13/0.32 % Model : x86_64 x86_64 % 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.32 % Memory : 8042.1875MB % 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.32 % CPULimit : 300 % 0.13/0.32 % WCLimit : 300 % 0.13/0.32 % DateTime : Tue Jun 2 05:28:28 EDT 2026 % 0.13/0.32 % CPUTime : % 0.30/0.47 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort $$unsorted 0) % 0.30/0.54 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.rp (-> $$unsorted $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.30/0.54 (define @t1 () (@var "B" $$unsorted)) % 0.30/0.54 (define @t2 () (@var "A" $$unsorted)) % 0.30/0.54 (define @t3 () (= @t2 @t1)) % 0.30/0.54 (define @t4 () (@list @t2 @t1)) % 0.30/0.54 (define @t5 () (@var "C" $$unsorted)) % 0.30/0.54 (define @t6 () (@list @t2 @t1 @t5)) % 0.30/0.54 (define @t7 () (@var "X" $$unsorted)) % 0.30/0.54 (define @t8 () (not (tptp.cowlNothing @t7))) % 0.30/0.54 (define @t9 () (tptp.cowlThing @t7)) % 0.30/0.54 (define @t10 () (@list @t7)) % 0.30/0.54 (define @t11 () (forall @t10 (and @t9 @t8))) % 0.30/0.54 (define @t12 () (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.30/0.54 (define @t13 () (@var "Y0" $$unsorted)) % 0.30/0.54 (define @t14 () (tptp.rp @t7 @t13)) % 0.30/0.54 (define @t15 () (@list @t13)) % 0.30/0.54 (define @t16 () (exists @t15 @t14)) % 0.30/0.54 (define @t17 () (tptp.cc @t7)) % 0.30/0.54 (define @t18 () (=> @t17 @t16)) % 0.30/0.54 (define @t19 () (forall @t10 @t18)) % 0.30/0.54 (define @t20 () (@var "Y1" $$unsorted)) % 0.30/0.54 (define @t21 () (= @t13 @t20)) % 0.30/0.54 (define @t22 () (tptp.rp @t7 @t20)) % 0.30/0.54 (define @t23 () (and @t14 @t22)) % 0.30/0.54 (define @t24 () (@list @t13 @t20)) % 0.30/0.54 (define @t25 () (forall @t24 (=> @t23 @t21))) % 0.30/0.54 (define @t26 () (=> @t17 @t25)) % 0.30/0.54 (define @t27 () (forall @t10 @t26)) % 0.30/0.54 (define @t28 () (and @t16 @t25)) % 0.30/0.54 (define @t29 () (=> @t17 @t28)) % 0.30/0.54 (define @t30 () (forall @t10 @t29)) % 0.30/0.54 (define @t31 () (and @t11 @t12 @t30)) % 0.30/0.54 (define @t32 () (not @t31)) % 0.30/0.54 (define @t33 () (forall @t10 @t8)) % 0.30/0.54 (define @t34 () (@list @t7)) % 0.30/0.54 (define @t35 () (@var "BOUND_VARIABLE_7585" $$unsorted)) % 0.30/0.54 (define @t36 () (forall @t10 @t9)) % 0.30/0.54 (define @t37 () (@var "BOUND_VARIABLE_7580" $$unsorted)) % 0.30/0.54 (define @t38 () (and @t36 @t33)) % 0.30/0.54 (define @t39 () (forall (@list @t35) (not (tptp.cowlNothing @t35)))) % 0.30/0.54 (define @t40 () (forall (@list @t37) (tptp.cowlThing @t37))) % 0.30/0.54 (define @t41 () (@var "BOUND_VARIABLE_7634" $$unsorted)) % 0.30/0.54 (define @t42 () (@var "BOUND_VARIABLE_7632" $$unsorted)) % 0.30/0.54 (define @t43 () (or (not (tptp.rp @t7 @t42)) (not (tptp.rp @t7 @t41)) (= @t42 @t41))) % 0.30/0.54 (define @t44 () (not @t14)) % 0.30/0.54 (define @t45 () (not (forall @t15 @t44))) % 0.30/0.54 (define @t46 () (and @t45 @t43)) % 0.30/0.54 (define @t47 () (not @t17)) % 0.30/0.54 (define @t48 () (or @t47 @t46)) % 0.30/0.54 (define @t49 () (forall (@list @t7 @t42 @t41) @t48)) % 0.30/0.54 (define @t50 () (@list @t42 @t41)) % 0.30/0.54 (define @t51 () (forall @t50 @t48)) % 0.30/0.54 (define @t52 () (forall @t50 @t43)) % 0.30/0.54 (define @t53 () (@list @t13 @t20)) % 0.30/0.54 (define @t54 () (forall @t50 @t45)) % 0.30/0.54 (define @t55 () (and @t54 @t52)) % 0.30/0.54 (define @t56 () (forall @t50 @t46)) % 0.30/0.54 (define @t57 () (or @t47 @t56)) % 0.30/0.54 (define @t58 () (not @t22)) % 0.30/0.54 (define @t59 () (or @t44 @t58 @t21)) % 0.30/0.54 (define @t60 () (forall @t24 @t59)) % 0.30/0.54 (define @t61 () (and @t45 @t60)) % 0.30/0.54 (define @t62 () (not @t49)) % 0.30/0.54 (define @t63 () (@quantifiers_skolemize @t49 0)) % 0.30/0.54 (define @t64 () (tptp.cc @t63)) % 0.30/0.54 (define @t65 () (@quantifiers_skolemize @t49 2)) % 0.30/0.54 (define @t66 () (@quantifiers_skolemize @t49 1)) % 0.30/0.54 (define @t67 () (= @t66 @t65)) % 0.30/0.54 (define @t68 () (tptp.rp @t63 @t65)) % 0.30/0.54 (define @t69 () (not @t68)) % 0.30/0.54 (define @t70 () (tptp.rp @t63 @t66)) % 0.30/0.54 (define @t71 () (not @t70)) % 0.30/0.54 (define @t72 () (or @t71 @t69 @t67)) % 0.30/0.54 (define @t73 () (forall @t15 (not (tptp.rp @t63 @t13)))) % 0.30/0.54 (define @t74 () (not @t73)) % 0.30/0.54 (define @t75 () (and @t74 @t72)) % 0.30/0.54 (define @t76 () (not @t64)) % 0.30/0.54 (define @t77 () (or @t76 @t75)) % 0.30/0.54 (define @t78 () (@list true)) % 0.30/0.54 (define @t79 () (@list @t77)) % 0.30/0.54 (define @t80 () (or @t76 @t74)) % 0.30/0.54 (define @t81 () (not @t72)) % 0.30/0.54 (define @t82 () (@list @t72)) % 0.30/0.54 (define @t83 () (@var "BOUND_VARIABLE_7613" $$unsorted)) % 0.30/0.54 (define @t84 () (@var "BOUND_VARIABLE_7611" $$unsorted)) % 0.30/0.54 (define @t85 () (= @t84 @t83)) % 0.30/0.54 (define @t86 () (not (tptp.rp @t7 @t83))) % 0.30/0.54 (define @t87 () (not (tptp.rp @t7 @t84))) % 0.30/0.54 (define @t88 () (or @t87 @t86 @t85)) % 0.30/0.54 (define @t89 () (or @t47 @t88)) % 0.30/0.54 (define @t90 () (forall (@list @t7 @t84 @t83) @t89)) % 0.30/0.54 (define @t91 () (@list @t84 @t83)) % 0.30/0.54 (define @t92 () (forall @t91 @t89)) % 0.30/0.54 (define @t93 () (forall @t91 @t88)) % 0.30/0.54 (define @t94 () (or @t47 @t93)) % 0.30/0.54 (define @t95 () (or @t76 @t71 @t69 @t67)) % 0.30/0.54 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cc @t2)) (tptp.cc @t1)))) % 0.30/0.54 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.30/0.54 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.30/0.54 (assume @p4 (forall @t6 (=> (and @t3 (tptp.rp @t2 @t5)) (tptp.rp @t1 @t5)))) % 0.30/0.54 (assume @p5 (forall @t6 (=> (and @t3 (tptp.rp @t5 @t2)) (tptp.rp @t5 @t1)))) % 0.30/0.54 (assume @p6 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.30/0.54 (assume @p7 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.30/0.54 (assume @p8 @t11) % 0.30/0.54 (assume @p9 @t12) % 0.30/0.54 (assume @p10 @t19) % 0.30/0.54 (assume @p11 @t27) % 0.30/0.54 (assume @p12 @t32) % 0.30/0.54 (assume @p13 true) % 0.30/0.54 (step @p14 :rule alpha_equiv :args (@t33 @t34 (@list @t35))) % 0.30/0.54 (step @p15 :rule alpha_equiv :args (@t36 @t34 (@list @t37))) % 0.30/0.54 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t38)) % 0.30/0.54 (step @p17 :rule quant-miniscope-and :args ((= @t11 @t38))) % 0.30/0.54 (step @p18 :rule trans :premises (@p17 @p16)) % 0.30/0.54 (step @p19 :rule eq_resolve :premises (@p8 @p18)) % 0.30/0.54 (step @p20 :rule and_elim :premises (@p19) :args (1)) % 0.30/0.54 (step @p21 :rule and_elim :premises (@p19) :args (0)) % 0.30/0.54 (step @p22 :rule aci_norm :args ((= (and (and @t40 @t39) @t12 @t49) (and @t12 @t49 @t40 @t39)))) % 0.30/0.54 (step @p23 :rule quant-merge-prenex :args ((= (forall @t10 @t51) @t49))) % 0.30/0.54 (step @p24 :rule alpha_equiv :args (@t52 (@list @t42 @t41) @t53)) % 0.30/0.54 (step @p25 :rule quant-unused-vars :args ((= @t54 @t45))) % 0.30/0.54 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t55)) % 0.30/0.54 (step @p27 :rule quant-miniscope-and :args ((= @t56 @t55))) % 0.30/0.54 (step @p28 :rule trans :premises (@p27 @p26)) % 0.30/0.54 (step @p29 :rule refl :args (@t47)) % 0.30/0.54 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t57)) % 0.30/0.54 (step @p31 :rule quant-miniscope-or :args ((= @t51 @t57))) % 0.30/0.54 (step @p32 :rule trans :premises (@p31 @p30)) % 0.30/0.54 (step @p33 :rule symm :premises (@p32)) % 0.30/0.54 (step @p34 :rule cong :premises (@p33) :args ((forall @t10 (or @t47 @t61)))) % 0.30/0.54 (step @p35 :rule trans :premises (@p34 @p23)) % 0.30/0.54 (step @p36 :rule bool-impl-elim :args (@t17 @t61)) % 0.30/0.54 (step @p37 :rule cong :premises (@p36) :args ((forall @t10 (=> @t17 @t61)))) % 0.30/0.54 (step @p38 :rule trans :premises (@p37 @p35)) % 0.30/0.54 (step @p39 :rule aci_norm :args ((= (or (or @t44 @t58) @t21) @t59))) % 0.30/0.54 (step @p40 :rule refl :args (@t21)) % 0.30/0.54 (step @p41 :rule bool-and-de-morgan :args (@t14 @t22 true)) % 0.30/0.54 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t23) @t21))) % 0.30/0.54 (step @p43 :rule trans :premises (@p42 @p39)) % 0.30/0.54 (step @p44 :rule bool-impl-elim :args (@t23 @t21)) % 0.30/0.54 (step @p45 :rule trans :premises (@p44 @p43)) % 0.30/0.54 (step @p46 :rule cong :premises (@p45) :args (@t25)) % 0.30/0.54 (step @p47 :rule exists-elim :args ((= @t16 @t45))) % 0.30/0.54 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t28)) % 0.30/0.54 (step @p49 :rule refl :args (@t17)) % 0.30/0.54 (step @p50 :rule cong :premises (@p49 @p48) :args (@t29)) % 0.30/0.54 (step @p51 :rule cong :premises (@p50) :args (@t30)) % 0.30/0.54 (step @p52 :rule trans :premises (@p51 @p38)) % 0.30/0.54 (step @p53 :rule refl :args (@t12)) % 0.30/0.54 (step @p54 :rule nary_cong :premises (@p18 @p53 @p52) :args (@t31)) % 0.30/0.54 (step @p55 :rule trans :premises (@p54 @p22)) % 0.30/0.54 (step @p56 :rule cong :premises (@p55) :args (@t32)) % 0.30/0.54 (step @p57 :rule eq_resolve :premises (@p12 @p56)) % 0.30/0.54 (step @p58 :rule not_and :premises (@p57)) % 0.30/0.54 (step @p59 :rule reordering :premises (@p58) :args ((or (not @t40) (not @t39) (not @t12) @t62))) % 0.30/0.54 (step @p60 :rule chain_m_resolution :premises (@p59 @p21 @p20 @p9) :args (@t62 (@list false false false) (@list @t40 @t39 @t12))) % 0.30/0.54 (step @p61 :rule skolemize :premises (@p60)) % 0.30/0.54 (step @p62 :rule bool-double-not-elim :args (@t64)) % 0.30/0.54 (step @p63 :rule refl :args (@t77)) % 0.30/0.54 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t77 (not @t76)))) % 0.30/0.54 (step @p65 :rule cnf_or_neg :args (@t77 0)) % 0.30/0.54 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.30/0.54 (step @p67 :rule reordering :premises (@p66) :args ((or @t64 @t77))) % 0.30/0.54 (step @p68 :rule chain_m_resolution :premises (@p67 @p61) :args (@t64 @t78 @t79)) % 0.30/0.54 (step @p69 :rule cnf_or_neg :args (@t77 1)) % 0.30/0.54 (step @p70 :rule chain_m_resolution :premises (@p69 @p61) :args ((not @t75) @t78 @t79)) % 0.30/0.54 (step @p71 :rule bool-impl-elim :args (@t17 @t45)) % 0.30/0.54 (step @p72 :rule cong :premises (@p71) :args ((forall @t10 (=> @t17 @t45)))) % 0.30/0.54 (step @p73 :rule cong :premises (@p49 @p47) :args (@t18)) % 0.30/0.54 (step @p74 :rule cong :premises (@p73) :args (@t19)) % 0.30/0.54 (step @p75 :rule trans :premises (@p74 @p72)) % 0.30/0.54 (step @p76 :rule eq_resolve :premises (@p10 @p75)) % 0.30/0.54 (step @p77 :rule instantiate :premises (@p76) :args ((@list @t63))) % 0.30/0.54 (step @p78 :rule cnf_or_pos :args (@t80)) % 0.30/0.54 (step @p79 :rule reordering :premises (@p78) :args ((or @t76 @t74 (not @t80)))) % 0.30/0.54 (step @p80 :rule chain_m_resolution :premises (@p79 @p68 @p77) :args (@t74 (@list false false) (@list @t64 @t80))) % 0.30/0.54 (step @p81 :rule refl :args (@t81)) % 0.30/0.54 (step @p82 :rule bool-double-not-elim :args (@t73)) % 0.30/0.54 (step @p83 :rule refl :args (@t75)) % 0.30/0.54 (step @p84 :rule nary_cong :premises (@p83 @p82 @p81) :args ((or @t75 (not @t74) @t81))) % 0.30/0.54 (step @p85 :rule cnf_and_neg :args (@t75)) % 0.30/0.54 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.30/0.54 (step @p87 :rule reordering :premises (@p86) :args ((or @t73 @t75 @t81))) % 0.30/0.54 (step @p88 :rule chain_m_resolution :premises (@p87 @p80 @p70) :args (@t81 (@list true true) (@list @t73 @t75))) % 0.30/0.54 (step @p89 :rule bool-double-not-elim :args (@t70)) % 0.30/0.54 (step @p90 :rule refl :args (@t72)) % 0.30/0.54 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t72 (not @t71)))) % 0.30/0.54 (step @p92 :rule cnf_or_neg :args (@t72 0)) % 0.30/0.54 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.30/0.54 (step @p94 :rule reordering :premises (@p93) :args ((or @t70 @t72))) % 0.30/0.54 (step @p95 :rule chain_m_resolution :premises (@p94 @p88) :args (@t70 @t78 @t82)) % 0.30/0.54 (step @p96 :rule aci_norm :args ((= @t89 (or @t47 @t87 @t86 @t85)))) % 0.30/0.54 (step @p97 :rule cong :premises (@p96) :args (@t90)) % 0.30/0.54 (step @p98 :rule quant-merge-prenex :args ((= (forall @t10 @t92) @t90))) % 0.30/0.54 (step @p99 :rule alpha_equiv :args (@t93 (@list @t84 @t83) @t53)) % 0.30/0.54 (step @p100 :rule nary_cong :premises (@p29 @p99) :args (@t94)) % 0.30/0.54 (step @p101 :rule quant-miniscope-or :args ((= @t92 @t94))) % 0.30/0.54 (step @p102 :rule trans :premises (@p101 @p100)) % 0.30/0.54 (step @p103 :rule symm :premises (@p102)) % 0.30/0.54 (step @p104 :rule cong :premises (@p103) :args ((forall @t10 (or @t47 @t60)))) % 0.30/0.54 (step @p105 :rule trans :premises (@p104 @p98)) % 0.30/0.54 (step @p106 :rule trans :premises (@p105 @p97)) % 0.30/0.54 (step @p107 :rule bool-impl-elim :args (@t17 @t60)) % 0.30/0.54 (step @p108 :rule cong :premises (@p107) :args ((forall @t10 (=> @t17 @t60)))) % 0.30/0.54 (step @p109 :rule trans :premises (@p108 @p106)) % 0.30/0.54 (step @p110 :rule cong :premises (@p49 @p46) :args (@t26)) % 0.30/0.54 (step @p111 :rule cong :premises (@p110) :args (@t27)) % 0.30/0.54 (step @p112 :rule trans :premises (@p111 @p109)) % 0.30/0.54 (step @p113 :rule eq_resolve :premises (@p11 @p112)) % 0.30/0.54 (step @p114 :rule instantiate :premises (@p113) :args ((@list @t63 @t66 @t65))) % 0.30/0.54 (step @p115 :rule bool-double-not-elim :args (@t68)) % 0.30/0.54 (step @p116 :rule nary_cong :premises (@p90 @p115) :args ((or @t72 (not @t69)))) % 0.30/0.54 (step @p117 :rule cnf_or_neg :args (@t72 1)) % 0.30/0.54 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 0.30/0.54 (step @p119 :rule reordering :premises (@p118) :args ((or @t68 @t72))) % 0.30/0.54 (step @p120 :rule chain_m_resolution :premises (@p119 @p88) :args (@t68 @t78 @t82)) % 0.30/0.54 (step @p121 :rule cnf_or_neg :args (@t72 2)) % 0.30/0.54 (step @p122 :rule chain_m_resolution :premises (@p121 @p88) :args ((not @t67) @t78 @t82)) % 0.30/0.54 (step @p123 :rule cnf_or_pos :args (@t95)) % 0.30/0.54 (step @p124 :rule reordering :premises (@p123) :args ((or @t76 @t71 @t69 @t67 (not @t95)))) % 0.30/0.54 (step @p125 false :rule chain_m_resolution :premises (@p124 @p122 @p120 @p114 @p95 @p68) :args (false (@list true false false false false) (@list @t67 @t68 @t95 @t70 @t64))) % 0.30/0.54 ) % 0.30/0.54 % SZS output end Proof % 0.30/0.54 % cvc5 exiting %------------------------------------------------------------------------------