%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS145+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS145+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.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 05:28:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.rp (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.36/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.56 (define @t2 () (@var "A" $$unsorted)) % 0.36/0.56 (define @t3 () (= @t2 @t1)) % 0.36/0.56 (define @t4 () (@list @t2 @t1)) % 0.36/0.56 (define @t5 () (@var "C" $$unsorted)) % 0.36/0.56 (define @t6 () (@list @t2 @t1 @t5)) % 0.36/0.56 (define @t7 () (@var "X" $$unsorted)) % 0.36/0.56 (define @t8 () (not (tptp.cowlNothing @t7))) % 0.36/0.56 (define @t9 () (tptp.cowlThing @t7)) % 0.36/0.56 (define @t10 () (@list @t7)) % 0.36/0.56 (define @t11 () (forall @t10 (and @t9 @t8))) % 0.36/0.56 (define @t12 () (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.36/0.56 (define @t13 () (@var "Y1" $$unsorted)) % 0.36/0.56 (define @t14 () (@var "Y0" $$unsorted)) % 0.36/0.56 (define @t15 () (= @t14 @t13)) % 0.36/0.56 (define @t16 () (not @t15)) % 0.36/0.56 (define @t17 () (tptp.rp @t7 @t13)) % 0.36/0.56 (define @t18 () (tptp.rp @t7 @t14)) % 0.36/0.56 (define @t19 () (and @t18 @t17 @t16)) % 0.36/0.56 (define @t20 () (@list @t14 @t13)) % 0.36/0.56 (define @t21 () (exists @t20 @t19)) % 0.36/0.56 (define @t22 () (@var "Y2" $$unsorted)) % 0.36/0.56 (define @t23 () (= @t13 @t22)) % 0.36/0.56 (define @t24 () (= @t14 @t22)) % 0.36/0.56 (define @t25 () (or @t15 @t24 @t23)) % 0.36/0.56 (define @t26 () (tptp.rp @t7 @t22)) % 0.36/0.56 (define @t27 () (and @t18 @t17 @t26)) % 0.36/0.56 (define @t28 () (@list @t14 @t13 @t22)) % 0.36/0.56 (define @t29 () (forall @t28 (=> @t27 @t25))) % 0.36/0.56 (define @t30 () (and @t29 @t21)) % 0.36/0.56 (define @t31 () (tptp.cc @t7)) % 0.36/0.56 (define @t32 () (=> @t31 @t30)) % 0.36/0.56 (define @t33 () (forall @t10 @t32)) % 0.36/0.56 (define @t34 () (and @t21 @t29)) % 0.36/0.56 (define @t35 () (=> @t31 @t34)) % 0.36/0.56 (define @t36 () (forall @t10 @t35)) % 0.36/0.56 (define @t37 () (and @t11 @t12 @t36)) % 0.36/0.56 (define @t38 () (not @t37)) % 0.36/0.56 (define @t39 () (forall @t10 @t8)) % 0.36/0.56 (define @t40 () (@list @t7)) % 0.36/0.56 (define @t41 () (@var "BOUND_VARIABLE_7591" $$unsorted)) % 0.36/0.56 (define @t42 () (forall @t10 @t9)) % 0.36/0.56 (define @t43 () (@var "BOUND_VARIABLE_7586" $$unsorted)) % 0.36/0.56 (define @t44 () (and @t42 @t39)) % 0.36/0.56 (define @t45 () (not @t17)) % 0.36/0.56 (define @t46 () (not @t18)) % 0.36/0.56 (define @t47 () (not (forall @t20 (or @t46 @t45 @t15)))) % 0.36/0.56 (define @t48 () (@var "BOUND_VARIABLE_7622" $$unsorted)) % 0.36/0.56 (define @t49 () (@var "BOUND_VARIABLE_7620" $$unsorted)) % 0.36/0.56 (define @t50 () (@var "BOUND_VARIABLE_7618" $$unsorted)) % 0.36/0.56 (define @t51 () (or (not (tptp.rp @t7 @t50)) (not (tptp.rp @t7 @t49)) (not (tptp.rp @t7 @t48)) (= @t50 @t49) (= @t50 @t48) (= @t49 @t48))) % 0.36/0.56 (define @t52 () (and @t51 @t47)) % 0.36/0.56 (define @t53 () (not @t31)) % 0.36/0.56 (define @t54 () (or @t53 @t52)) % 0.36/0.56 (define @t55 () (forall (@list @t7 @t50 @t49 @t48) @t54)) % 0.36/0.56 (define @t56 () (@list @t50 @t49 @t48)) % 0.36/0.56 (define @t57 () (forall @t56 @t54)) % 0.36/0.56 (define @t58 () (forall @t56 @t47)) % 0.36/0.56 (define @t59 () (forall @t56 @t51)) % 0.36/0.56 (define @t60 () (@list @t14 @t13 @t22)) % 0.36/0.56 (define @t61 () (and @t59 @t58)) % 0.36/0.56 (define @t62 () (forall @t56 @t52)) % 0.36/0.56 (define @t63 () (or @t53 @t62)) % 0.36/0.56 (define @t64 () (not @t26)) % 0.36/0.56 (define @t65 () (or @t46 @t45 @t64 @t15 @t24 @t23)) % 0.36/0.56 (define @t66 () (forall @t28 @t65)) % 0.36/0.56 (define @t67 () (and @t66 @t47)) % 0.36/0.56 (define @t68 () (not @t16)) % 0.36/0.56 (define @t69 () (or @t46 @t45 @t68)) % 0.36/0.56 (define @t70 () (forall @t20 (not @t19))) % 0.36/0.56 (define @t71 () (not @t70)) % 0.36/0.56 (define @t72 () (or @t46 @t45 @t64)) % 0.36/0.56 (define @t73 () (@var "BOUND_VARIABLE_7648" $$unsorted)) % 0.36/0.56 (define @t74 () (@var "BOUND_VARIABLE_7646" $$unsorted)) % 0.36/0.56 (define @t75 () (@var "BOUND_VARIABLE_7644" $$unsorted)) % 0.36/0.56 (define @t76 () (or (not (tptp.rp @t7 @t75)) (not (tptp.rp @t7 @t74)) (not (tptp.rp @t7 @t73)) (= @t75 @t74) (= @t75 @t73) (= @t74 @t73))) % 0.36/0.56 (define @t77 () (and @t76 @t47)) % 0.36/0.56 (define @t78 () (and @t47 @t76)) % 0.36/0.56 (define @t79 () (or @t53 @t78)) % 0.36/0.56 (define @t80 () (@list @t7 @t75 @t74 @t73)) % 0.36/0.56 (define @t81 () (forall @t80 @t79)) % 0.36/0.56 (define @t82 () (forall @t80 (or @t53 @t77))) % 0.36/0.56 (define @t83 () (@var "BOUND_VARIABLE_7723" $$unsorted)) % 0.36/0.56 (define @t84 () (@var "BOUND_VARIABLE_7722" $$unsorted)) % 0.36/0.56 (define @t85 () (@var "BOUND_VARIABLE_7721" $$unsorted)) % 0.36/0.56 (define @t86 () (@var "BOUND_VARIABLE_7726" $$unsorted)) % 0.36/0.56 (define @t87 () (@var "BOUND_VARIABLE_7725" $$unsorted)) % 0.36/0.56 (define @t88 () (@var "BOUND_VARIABLE_7724" $$unsorted)) % 0.36/0.56 (define @t89 () (@list @t85 @t84 @t83 @t88 @t87 @t86)) % 0.36/0.56 (define @t90 () (forall (@list @t41) (not (tptp.cowlNothing @t41)))) % 0.36/0.56 (define @t91 () (forall (@list @t43) (tptp.cowlThing @t43))) % 0.36/0.56 (define @t92 () (@list @t75 @t74 @t73)) % 0.36/0.56 (define @t93 () (forall @t92 @t79)) % 0.36/0.56 (define @t94 () (forall @t92 @t76)) % 0.36/0.56 (define @t95 () (forall @t92 @t47)) % 0.36/0.56 (define @t96 () (and @t95 @t94)) % 0.36/0.56 (define @t97 () (forall @t92 @t78)) % 0.36/0.56 (define @t98 () (or @t53 @t97)) % 0.36/0.56 (define @t99 () (and @t47 @t66)) % 0.36/0.56 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cc @t2)) (tptp.cc @t1)))) % 0.36/0.56 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.36/0.56 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.36/0.56 (assume @p4 (forall @t6 (=> (and @t3 (tptp.rp @t2 @t5)) (tptp.rp @t1 @t5)))) % 0.36/0.56 (assume @p5 (forall @t6 (=> (and @t3 (tptp.rp @t5 @t2)) (tptp.rp @t5 @t1)))) % 0.36/0.56 (assume @p6 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.36/0.56 (assume @p7 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.36/0.56 (assume @p8 @t11) % 0.36/0.56 (assume @p9 @t12) % 0.36/0.56 (assume @p10 @t33) % 0.36/0.56 (assume @p11 @t38) % 0.36/0.56 (assume @p12 true) % 0.36/0.56 (step @p13 :rule alpha_equiv :args (@t39 @t40 (@list @t41))) % 0.36/0.56 (step @p14 :rule alpha_equiv :args (@t42 @t40 (@list @t43))) % 0.36/0.56 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t44)) % 0.36/0.56 (step @p16 :rule quant-miniscope-and :args ((= @t11 @t44))) % 0.36/0.56 (step @p17 :rule trans :premises (@p16 @p15)) % 0.36/0.56 (step @p18 :rule eq_resolve :premises (@p8 @p17)) % 0.36/0.56 (step @p19 :rule and_elim :premises (@p18) :args (0)) % 0.36/0.56 (step @p20 :rule and_elim :premises (@p18) :args (1)) % 0.36/0.56 (step @p21 :rule quant-merge-prenex :args ((= (forall @t10 @t57) @t55))) % 0.36/0.56 (step @p22 :rule quant-unused-vars :args ((= @t58 @t47))) % 0.36/0.56 (step @p23 :rule alpha_equiv :args (@t59 (@list @t50 @t49 @t48) @t60)) % 0.36/0.56 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t61)) % 0.36/0.56 (step @p25 :rule quant-miniscope-and :args ((= @t62 @t61))) % 0.36/0.56 (step @p26 :rule trans :premises (@p25 @p24)) % 0.36/0.56 (step @p27 :rule refl :args (@t53)) % 0.36/0.56 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t63)) % 0.36/0.56 (step @p29 :rule quant-miniscope-or :args ((= @t57 @t63))) % 0.36/0.56 (step @p30 :rule trans :premises (@p29 @p28)) % 0.36/0.56 (step @p31 :rule symm :premises (@p30)) % 0.36/0.56 (step @p32 :rule cong :premises (@p31) :args ((forall @t10 (or @t53 @t67)))) % 0.36/0.56 (step @p33 :rule trans :premises (@p32 @p21)) % 0.36/0.56 (step @p34 :rule bool-impl-elim :args (@t31 @t67)) % 0.36/0.56 (step @p35 :rule cong :premises (@p34) :args ((forall @t10 (=> @t31 @t67)))) % 0.36/0.56 (step @p36 :rule trans :premises (@p35 @p33)) % 0.36/0.56 (step @p37 :rule bool-double-not-elim :args (@t15)) % 0.36/0.56 (step @p38 :rule refl :args (@t45)) % 0.36/0.56 (step @p39 :rule refl :args (@t46)) % 0.36/0.56 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37) :args (@t69)) % 0.36/0.56 (step @p41 :rule aci_norm :args ((= (or @t46 (or @t45 @t68)) @t69))) % 0.36/0.56 (step @p42 :rule trans :premises (@p41 @p40)) % 0.36/0.56 (step @p43 :rule bool-and-de-morgan :args (@t17 @t16 true)) % 0.36/0.56 (step @p44 :rule nary_cong :premises (@p39 @p43) :args ((or @t46 (not (and @t17 @t16))))) % 0.36/0.56 (step @p45 :rule bool-and-de-morgan :args (@t18 @t17 (and @t16))) % 0.36/0.56 (step @p46 :rule trans :premises (@p45 @p44)) % 0.36/0.56 (step @p47 :rule trans :premises (@p46 @p42)) % 0.36/0.56 (step @p48 :rule cong :premises (@p47) :args (@t70)) % 0.36/0.56 (step @p49 :rule cong :premises (@p48) :args (@t71)) % 0.36/0.56 (step @p50 :rule exists-elim :args ((= @t21 @t71))) % 0.36/0.56 (step @p51 :rule trans :premises (@p50 @p49)) % 0.36/0.56 (step @p52 :rule aci_norm :args ((= (or @t72 @t25) @t65))) % 0.36/0.56 (step @p53 :rule refl :args (@t25)) % 0.36/0.56 (step @p54 :rule aci_norm :args ((= (or @t46 (or @t45 @t64)) @t72))) % 0.36/0.56 (step @p55 :rule bool-and-de-morgan :args (@t17 @t26 true)) % 0.36/0.56 (step @p56 :rule nary_cong :premises (@p39 @p55) :args ((or @t46 (not (and @t17 @t26))))) % 0.36/0.56 (step @p57 :rule bool-and-de-morgan :args (@t18 @t17 (and @t26))) % 0.36/0.56 (step @p58 :rule trans :premises (@p57 @p56)) % 0.36/0.56 (step @p59 :rule trans :premises (@p58 @p54)) % 0.36/0.56 (step @p60 :rule nary_cong :premises (@p59 @p53) :args ((or (not @t27) @t25))) % 0.36/0.56 (step @p61 :rule trans :premises (@p60 @p52)) % 0.36/0.56 (step @p62 :rule bool-impl-elim :args (@t27 @t25)) % 0.36/0.56 (step @p63 :rule trans :premises (@p62 @p61)) % 0.36/0.57 (step @p64 :rule cong :premises (@p63) :args (@t29)) % 0.36/0.57 (step @p65 :rule nary_cong :premises (@p64 @p51) :args (@t30)) % 0.36/0.57 (step @p66 :rule refl :args (@t31)) % 0.36/0.57 (step @p67 :rule cong :premises (@p66 @p65) :args (@t32)) % 0.36/0.57 (step @p68 :rule cong :premises (@p67) :args (@t33)) % 0.36/0.57 (step @p69 :rule trans :premises (@p68 @p36)) % 0.36/0.57 (step @p70 :rule eq_resolve :premises (@p10 @p69)) % 0.36/0.57 (step @p71 :rule aci_norm :args ((= @t78 @t77))) % 0.36/0.57 (step @p72 :rule nary_cong :premises (@p27 @p71) :args (@t79)) % 0.36/0.57 (step @p73 :rule cong :premises (@p72) :args (@t81)) % 0.36/0.57 (step @p74 :rule symm :premises (@p73)) % 0.36/0.57 (step @p75 :rule true_intro :premises (@p74)) % 0.36/0.57 (step @p76 :rule eq-symm :args (@t81 @t82)) % 0.36/0.57 (step @p77 :rule trans :premises (@p76 @p75)) % 0.36/0.57 (step @p78 :rule cong :premises (@p74 @p73) :args ((= @t82 @t81))) % 0.36/0.57 (step @p79 :rule trans :premises (@p78 @p77)) % 0.36/0.57 (step @p80 :rule true_elim :premises (@p79)) % 0.36/0.57 (step @p81 :rule alpha_equiv :args ((forall (@list @t85 @t88 @t87 @t86) (or (not (tptp.cc @t85)) (and (or (not (tptp.rp @t85 @t88)) (not (tptp.rp @t85 @t87)) (not (tptp.rp @t85 @t86)) (= @t88 @t87) (= @t88 @t86) (= @t87 @t86)) (not (forall (@list @t84 @t83) (or (not (tptp.rp @t85 @t84)) (not (tptp.rp @t85 @t83)) (= @t84 @t83))))))) @t89 (@list @t7 @t14 @t13 @t75 @t74 @t73))) % 0.36/0.57 (step @p82 :rule alpha_equiv :args (@t55 (@list @t7 @t14 @t13 @t50 @t49 @t48) @t89)) % 0.36/0.57 (step @p83 :rule trans :premises (@p82 @p81 @p80)) % 0.36/0.57 (step @p84 :rule equiv_elim1 :premises (@p83)) % 0.36/0.57 (step @p85 :rule reordering :premises (@p84) :args ((or @t81 (not @t55)))) % 0.36/0.57 (step @p86 :rule chain_m_resolution :premises (@p85 @p70) :args (@t81 (@list false) (@list @t55))) % 0.36/0.57 (step @p87 :rule aci_norm :args ((= (and (and @t91 @t90) @t12 @t81) (and @t12 @t81 @t91 @t90)))) % 0.36/0.57 (step @p88 :rule quant-merge-prenex :args ((= (forall @t10 @t93) @t81))) % 0.36/0.57 (step @p89 :rule alpha_equiv :args (@t94 (@list @t75 @t74 @t73) @t60)) % 0.36/0.57 (step @p90 :rule quant-unused-vars :args ((= @t95 @t47))) % 0.36/0.57 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t96)) % 0.36/0.57 (step @p92 :rule quant-miniscope-and :args ((= @t97 @t96))) % 0.36/0.57 (step @p93 :rule trans :premises (@p92 @p91)) % 0.36/0.57 (step @p94 :rule nary_cong :premises (@p27 @p93) :args (@t98)) % 0.36/0.57 (step @p95 :rule quant-miniscope-or :args ((= @t93 @t98))) % 0.36/0.57 (step @p96 :rule trans :premises (@p95 @p94)) % 0.36/0.57 (step @p97 :rule symm :premises (@p96)) % 0.36/0.57 (step @p98 :rule cong :premises (@p97) :args ((forall @t10 (or @t53 @t99)))) % 0.36/0.57 (step @p99 :rule trans :premises (@p98 @p88)) % 0.36/0.57 (step @p100 :rule bool-impl-elim :args (@t31 @t99)) % 0.36/0.57 (step @p101 :rule cong :premises (@p100) :args ((forall @t10 (=> @t31 @t99)))) % 0.36/0.57 (step @p102 :rule trans :premises (@p101 @p99)) % 0.36/0.57 (step @p103 :rule nary_cong :premises (@p51 @p64) :args (@t34)) % 0.36/0.57 (step @p104 :rule cong :premises (@p66 @p103) :args (@t35)) % 0.36/0.57 (step @p105 :rule cong :premises (@p104) :args (@t36)) % 0.36/0.57 (step @p106 :rule trans :premises (@p105 @p102)) % 0.36/0.57 (step @p107 :rule refl :args (@t12)) % 0.36/0.57 (step @p108 :rule nary_cong :premises (@p17 @p107 @p106) :args (@t37)) % 0.36/0.57 (step @p109 :rule trans :premises (@p108 @p87)) % 0.36/0.57 (step @p110 :rule cong :premises (@p109) :args (@t38)) % 0.36/0.57 (step @p111 :rule eq_resolve :premises (@p11 @p110)) % 0.36/0.57 (step @p112 :rule not_and :premises (@p111)) % 0.36/0.57 (step @p113 :rule reordering :premises (@p112) :args ((or (not @t91) (not @t90) (not @t12) (not @t81)))) % 0.36/0.57 (step @p114 false :rule chain_m_resolution :premises (@p113 @p86 @p9 @p20 @p19) :args (false (@list false false false false) (@list @t81 @t12 @t90 @t91))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------