%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS189+1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:29:05 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS189+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n017.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 05:27:16 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.xora (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.nevera (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.nota (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.mighta (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.noc $$unsorted) % 0.39/0.60 (declare-const tptp.uns $$unsorted) % 0.39/0.60 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.tca $$unsorted) % 0.39/0.60 (declare-const tptp.sca $$unsorted) % 0.39/0.60 (declare-const tptp.wth $$unsorted) % 0.39/0.60 (declare-const tptp.unp $$unsorted) % 0.39/0.60 (declare-const tptp.wca $$unsorted) % 0.39/0.60 (declare-const tptp.wec $$unsorted) % 0.39/0.60 (declare-const tptp.sap $$unsorted) % 0.39/0.60 (declare-const tptp.wtc $$unsorted) % 0.39/0.60 (declare-const tptp.model (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.sat $$unsorted) % 0.39/0.60 (declare-const tptp.cax $$unsorted) % 0.39/0.60 (declare-const tptp.eqv $$unsorted) % 0.39/0.60 (declare-const tptp.esa $$unsorted) % 0.39/0.60 (declare-const tptp.csa $$unsorted) % 0.39/0.60 (declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.thm $$unsorted) % 0.39/0.60 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.eth $$unsorted) % 0.39/0.60 (declare-const tptp.tac $$unsorted) % 0.39/0.60 (declare-const tptp.tau $$unsorted) % 0.39/0.60 (define @t1 () (@var "C" $$unsorted)) % 0.39/0.60 (define @t2 () (@var "Ax" $$unsorted)) % 0.39/0.60 (define @t3 () (@var "I2" $$unsorted)) % 0.39/0.60 (define @t4 () (tptp.model @t3 @t1)) % 0.39/0.60 (define @t5 () (@list @t3)) % 0.39/0.60 (define @t6 () (exists @t5 @t4)) % 0.39/0.60 (define @t7 () (@var "I1" $$unsorted)) % 0.39/0.60 (define @t8 () (tptp.model @t7 @t2)) % 0.39/0.60 (define @t9 () (@list @t7)) % 0.39/0.60 (define @t10 () (exists @t9 @t8)) % 0.39/0.60 (define @t11 () (not @t10)) % 0.39/0.60 (define @t12 () (@list @t2 @t1)) % 0.39/0.60 (define @t13 () (tptp.model @t7 @t1)) % 0.39/0.60 (define @t14 () (and @t8 @t13)) % 0.39/0.60 (define @t15 () (exists @t9 @t14)) % 0.39/0.60 (define @t16 () (tptp.status @t2 @t1 tptp.thm)) % 0.39/0.60 (define @t17 () (forall @t9 (=> @t8 @t13))) % 0.39/0.60 (define @t18 () (= @t17 @t16)) % 0.39/0.60 (define @t19 () (forall @t12 @t18)) % 0.39/0.60 (define @t20 () (tptp.model @t3 @t2)) % 0.39/0.60 (define @t21 () (forall @t5 @t4)) % 0.39/0.60 (define @t22 () (@var "I3" $$unsorted)) % 0.39/0.60 (define @t23 () (tptp.model @t22 @t2)) % 0.39/0.60 (define @t24 () (not @t23)) % 0.39/0.60 (define @t25 () (tptp.model @t22 @t1)) % 0.39/0.60 (define @t26 () (@list @t22)) % 0.39/0.60 (define @t27 () (exists @t26 (and @t25 @t24))) % 0.39/0.60 (define @t28 () (forall @t5 (=> @t20 @t4))) % 0.39/0.60 (define @t29 () (tptp.status @t2 @t1 tptp.eth)) % 0.39/0.60 (define @t30 () (forall @t26 (= @t23 @t25))) % 0.39/0.60 (define @t31 () (not @t20)) % 0.39/0.60 (define @t32 () (exists @t5 @t31)) % 0.39/0.60 (define @t33 () (and @t10 @t32 @t30)) % 0.39/0.60 (define @t34 () (= @t33 @t29)) % 0.39/0.60 (define @t35 () (forall @t12 @t34)) % 0.39/0.60 (define @t36 () (@var "I4" $$unsorted)) % 0.39/0.60 (define @t37 () (exists (@list @t36) (not (tptp.model @t36 @t1)))) % 0.39/0.60 (define @t38 () (tptp.not @t1)) % 0.39/0.60 (define @t39 () (tptp.model @t3 @t38)) % 0.39/0.60 (define @t40 () (@var "S2" $$unsorted)) % 0.39/0.60 (define @t41 () (@var "S1" $$unsorted)) % 0.39/0.60 (define @t42 () (tptp.status @t2 @t1 @t40)) % 0.39/0.60 (define @t43 () (tptp.status @t2 @t1 @t41)) % 0.39/0.60 (define @t44 () (@list @t41 @t40)) % 0.39/0.60 (define @t45 () (tptp.isa @t41 @t40)) % 0.39/0.60 (define @t46 () (forall @t12 (=> @t43 @t42))) % 0.39/0.60 (define @t47 () (= @t46 @t45)) % 0.39/0.60 (define @t48 () (forall @t44 @t47)) % 0.39/0.60 (define @t49 () (not @t42)) % 0.39/0.60 (define @t50 () (@var "F" $$unsorted)) % 0.39/0.60 (define @t51 () (@var "I" $$unsorted)) % 0.39/0.60 (define @t52 () (tptp.model @t51 (tptp.not @t50))) % 0.39/0.60 (define @t53 () (tptp.model @t51 @t50)) % 0.39/0.60 (define @t54 () (@list @t51 @t50)) % 0.39/0.60 (define @t55 () (@list @t51)) % 0.39/0.60 (define @t56 () (@list @t50)) % 0.39/0.60 (define @t57 () (tptp.isa tptp.eth tptp.thm)) % 0.39/0.60 (define @t58 () (not @t8)) % 0.39/0.60 (define @t59 () (not (forall @t9 @t58))) % 0.39/0.60 (define @t60 () (forall @t5 (not @t31))) % 0.39/0.60 (define @t61 () (not @t60)) % 0.39/0.60 (define @t62 () (forall @t12 (or (not @t29) @t16))) % 0.39/0.60 (define @t63 () (@quantifiers_skolemize @t62 1)) % 0.39/0.60 (define @t64 () (@quantifiers_skolemize @t62 0)) % 0.39/0.60 (define @t65 () (@list @t64 @t63)) % 0.39/0.60 (define @t66 () (= @t57 @t62)) % 0.39/0.60 (define @t67 () (not @t62)) % 0.39/0.60 (define @t68 () (@list true false)) % 0.39/0.60 (define @t69 () (tptp.status @t64 @t63 tptp.eth)) % 0.39/0.60 (define @t70 () (tptp.status @t64 @t63 tptp.thm)) % 0.39/0.60 (define @t71 () (not @t69)) % 0.39/0.60 (define @t72 () (or @t71 @t70)) % 0.39/0.60 (define @t73 () (@list true)) % 0.39/0.60 (define @t74 () (@list @t72)) % 0.39/0.60 (define @t75 () (forall @t26 (= (tptp.model @t22 @t63) (tptp.model @t22 @t64)))) % 0.39/0.60 (define @t76 () (not (tptp.model @t7 @t64))) % 0.39/0.60 (define @t77 () (and (not (forall @t9 @t76)) (not (forall @t5 (tptp.model @t3 @t64))) @t75)) % 0.39/0.60 (define @t78 () (= @t69 @t77)) % 0.39/0.60 (define @t79 () (forall @t9 (or @t76 (tptp.model @t7 @t63)))) % 0.39/0.60 (define @t80 () (= @t70 @t79)) % 0.39/0.60 (define @t81 () (not @t79)) % 0.39/0.60 (define @t82 () (@quantifiers_skolemize @t79 0)) % 0.39/0.60 (define @t83 () (tptp.model @t82 @t63)) % 0.39/0.60 (define @t84 () (tptp.model @t82 @t64)) % 0.39/0.60 (define @t85 () (not @t84)) % 0.39/0.60 (define @t86 () (or @t85 @t83)) % 0.39/0.60 (define @t87 () (@list @t86)) % 0.39/0.60 (define @t88 () (= @t84 @t83)) % 0.39/0.60 (define @t89 () (not @t88)) % 0.39/0.60 (define @t90 () (= @t83 @t84)) % 0.39/0.60 (assume @p1 (forall @t12 (= (=> @t11 (not @t6)) (tptp.status @t2 @t1 tptp.unp)))) % 0.39/0.60 (assume @p2 (forall @t12 (= (=> @t10 @t6) (tptp.status @t2 @t1 tptp.sap)))) % 0.39/0.60 (assume @p3 (forall @t12 (= (= @t10 @t6) (tptp.status @t2 @t1 tptp.esa)))) % 0.39/0.60 (assume @p4 (forall @t12 (= @t15 (tptp.status @t2 @t1 tptp.sat)))) % 0.39/0.60 (assume @p5 @t19) % 0.39/0.60 (assume @p6 (forall @t12 (= (and @t10 (forall @t5 (= @t20 @t4))) (tptp.status @t2 @t1 tptp.eqv)))) % 0.39/0.60 (assume @p7 (forall @t12 (= (and @t10 @t21) (tptp.status @t2 @t1 tptp.tac)))) % 0.39/0.60 (assume @p8 (forall @t12 (= (and @t10 @t28 @t27) (tptp.status @t2 @t1 tptp.wec)))) % 0.39/0.60 (assume @p9 @t35) % 0.39/0.60 (assume @p10 (forall @t12 (= (forall @t9 @t14) (tptp.status @t2 @t1 tptp.tau)))) % 0.39/0.60 (assume @p11 (forall @t12 (= (and @t10 @t32 (forall @t26 @t25)) (tptp.status @t2 @t1 tptp.wtc)))) % 0.39/0.60 (assume @p12 (forall @t12 (= (and @t10 @t28 @t27 @t37) (tptp.status @t2 @t1 tptp.wth)))) % 0.39/0.60 (assume @p13 (forall @t12 (= @t11 (tptp.status @t2 @t1 tptp.cax)))) % 0.39/0.60 (assume @p14 (forall @t12 (= (and @t11 @t6) (tptp.status @t2 @t1 tptp.sca)))) % 0.39/0.60 (assume @p15 (forall @t12 (= (and @t11 @t21) (tptp.status @t2 @t1 tptp.tca)))) % 0.39/0.60 (assume @p16 (forall @t12 (= (and @t11 @t6 (exists @t26 (not @t25))) (tptp.status @t2 @t1 tptp.wca)))) % 0.39/0.60 (assume @p17 (forall @t12 (= (exists @t9 (and @t8 (tptp.model @t7 @t38))) (tptp.status @t2 @t1 tptp.csa)))) % 0.39/0.60 (assume @p18 (forall @t12 (= (and (forall @t9 @t8) (forall @t5 @t39)) (tptp.status @t2 @t1 tptp.uns)))) % 0.39/0.60 (assume @p19 (forall @t12 (= (and @t15 (exists @t5 (and @t20 @t39))) (tptp.status @t2 @t1 tptp.noc)))) % 0.39/0.60 (assume @p20 (forall @t44 (= (exists @t12 (and @t43 @t42)) (tptp.mighta @t41 @t40)))) % 0.39/0.60 (assume @p21 @t48) % 0.39/0.60 (assume @p22 (forall @t44 (= (exists @t12 (and @t43 @t49)) (tptp.nota @t41 @t40)))) % 0.39/0.60 (assume @p23 (forall @t44 (= (forall @t12 (=> @t43 @t49)) (tptp.nevera @t41 @t40)))) % 0.39/0.60 (assume @p24 (forall @t44 (= (forall @t12 (xor @t43 @t42)) (tptp.xora @t41 @t40)))) % 0.39/0.60 (assume @p25 (forall @t54 (xor @t53 @t52))) % 0.39/0.60 (assume @p26 (forall @t54 (= @t53 (not @t52)))) % 0.39/0.60 (assume @p27 (exists @t56 (forall @t55 @t53))) % 0.39/0.60 (assume @p28 (exists @t56 (and (exists @t9 (tptp.model @t7 @t50)) (exists @t5 (not (tptp.model @t3 @t50)))))) % 0.39/0.60 (assume @p29 (exists @t56 (forall @t55 (not @t53)))) % 0.39/0.60 (assume @p30 (exists @t12 (and @t15 (exists @t5 (or @t31 (not @t4)))))) % 0.39/0.60 (assume @p31 (exists @t12 (and @t10 @t28 (exists @t26 (and @t24 @t25)) @t37))) % 0.39/0.60 (assume @p32 (exists (@list @t7 @t2 @t1) (and @t8 (not @t13) @t6))) % 0.39/0.60 (assume @p33 (not @t57)) % 0.39/0.60 (assume @p34 true) % 0.39/0.60 (step @p35 :rule eq-symm :args ((and @t59 (not (forall @t5 @t20)) (forall @t26 (= @t25 @t23))) @t29)) % 0.39/0.60 (step @p36 :rule refl :args (@t29)) % 0.39/0.60 (step @p37 :rule eq-symm :args (@t23 @t25)) % 0.39/0.60 (step @p38 :rule cong :premises (@p37) :args (@t30)) % 0.39/0.60 (step @p39 :rule bool-double-not-elim :args (@t20)) % 0.39/0.60 (step @p40 :rule cong :premises (@p39) :args (@t60)) % 0.39/0.60 (step @p41 :rule cong :premises (@p40) :args (@t61)) % 0.39/0.60 (step @p42 :rule exists-elim :args ((= @t32 @t61))) % 0.39/0.60 (step @p43 :rule trans :premises (@p42 @p41)) % 0.39/0.60 (step @p44 :rule exists-elim :args ((= @t10 @t59))) % 0.39/0.60 (step @p45 :rule nary_cong :premises (@p44 @p43 @p38) :args (@t33)) % 0.39/0.60 (step @p46 :rule cong :premises (@p45 @p36) :args (@t34)) % 0.39/0.60 (step @p47 :rule trans :premises (@p46 @p35)) % 0.39/0.60 (step @p48 :rule cong :premises (@p47) :args (@t35)) % 0.39/0.60 (step @p49 :rule eq_resolve :premises (@p9 @p48)) % 0.39/0.60 (step @p50 :rule instantiate :premises (@p49) :args (@t65)) % 0.39/0.60 (step @p51 :rule eq-symm :args ((forall @t12 (or (not @t43) @t42)) @t45)) % 0.39/0.60 (step @p52 :rule refl :args (@t45)) % 0.39/0.60 (step @p53 :rule bool-impl-elim :args (@t43 @t42)) % 0.39/0.60 (step @p54 :rule cong :premises (@p53) :args (@t46)) % 0.39/0.60 (step @p55 :rule cong :premises (@p54 @p52) :args (@t47)) % 0.39/0.60 (step @p56 :rule trans :premises (@p55 @p51)) % 0.39/0.60 (step @p57 :rule cong :premises (@p56) :args (@t48)) % 0.39/0.60 (step @p58 :rule eq_resolve :premises (@p21 @p57)) % 0.39/0.60 (step @p59 :rule instantiate :premises (@p58) :args ((@list tptp.eth tptp.thm))) % 0.39/0.60 (step @p60 :rule cnf_equiv_pos2 :args (@t66)) % 0.39/0.60 (step @p61 :rule reordering :premises (@p60) :args ((or @t57 @t67 (not @t66)))) % 0.39/0.60 (step @p62 :rule chain_m_resolution :premises (@p61 @p33 @p59) :args (@t67 @t68 (@list @t57 @t66))) % 0.39/0.60 (step @p63 :rule skolemize :premises (@p62)) % 0.39/0.60 (step @p64 :rule bool-double-not-elim :args (@t69)) % 0.39/0.60 (step @p65 :rule refl :args (@t72)) % 0.39/0.60 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t72 (not @t71)))) % 0.39/0.60 (step @p67 :rule cnf_or_neg :args (@t72 0)) % 0.39/0.60 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.39/0.60 (step @p69 :rule reordering :premises (@p68) :args ((or @t69 @t72))) % 0.39/0.60 (step @p70 :rule chain_m_resolution :premises (@p69 @p63) :args (@t69 @t73 @t74)) % 0.39/0.60 (step @p71 :rule cnf_equiv_pos1 :args (@t78)) % 0.39/0.60 (step @p72 :rule reordering :premises (@p71) :args ((or @t71 @t77 (not @t78)))) % 0.39/0.60 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p50) :args (@t77 (@list false false) (@list @t69 @t78))) % 0.39/0.60 (step @p74 :rule cnf_and_pos :args (@t77 2)) % 0.39/0.60 (step @p75 :rule reordering :premises (@p74) :args ((or @t75 (not @t77)))) % 0.39/0.60 (step @p76 :rule chain_m_resolution :premises (@p75 @p73) :args (@t75 (@list false) (@list @t77))) % 0.39/0.60 (step @p77 :rule eq-symm :args ((forall @t9 (or @t58 @t13)) @t16)) % 0.39/0.60 (step @p78 :rule refl :args (@t16)) % 0.39/0.60 (step @p79 :rule bool-impl-elim :args (@t8 @t13)) % 0.39/0.60 (step @p80 :rule cong :premises (@p79) :args (@t17)) % 0.39/0.60 (step @p81 :rule cong :premises (@p80 @p78) :args (@t18)) % 0.39/0.60 (step @p82 :rule trans :premises (@p81 @p77)) % 0.39/0.60 (step @p83 :rule cong :premises (@p82) :args (@t19)) % 0.39/0.60 (step @p84 :rule eq_resolve :premises (@p5 @p83)) % 0.39/0.60 (step @p85 :rule instantiate :premises (@p84) :args (@t65)) % 0.39/0.60 (step @p86 :rule cnf_or_neg :args (@t72 1)) % 0.39/0.60 (step @p87 :rule chain_m_resolution :premises (@p86 @p63) :args ((not @t70) @t73 @t74)) % 0.39/0.60 (step @p88 :rule cnf_equiv_pos2 :args (@t80)) % 0.39/0.60 (step @p89 :rule reordering :premises (@p88) :args ((or @t70 @t81 (not @t80)))) % 0.39/0.60 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p85) :args (@t81 @t68 (@list @t70 @t80))) % 0.39/0.60 (step @p91 :rule skolemize :premises (@p90)) % 0.39/0.60 (step @p92 :rule cnf_or_neg :args (@t86 1)) % 0.39/0.60 (step @p93 :rule chain_m_resolution :premises (@p92 @p91) :args ((not @t83) @t73 @t87)) % 0.39/0.60 (step @p94 :rule bool-double-not-elim :args (@t84)) % 0.39/0.60 (step @p95 :rule refl :args (@t86)) % 0.39/0.60 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t86 (not @t85)))) % 0.39/0.60 (step @p97 :rule cnf_or_neg :args (@t86 0)) % 0.39/0.60 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.39/0.60 (step @p99 :rule reordering :premises (@p98) :args ((or @t84 @t86))) % 0.39/0.60 (step @p100 :rule chain_m_resolution :premises (@p99 @p91) :args (@t84 @t73 @t87)) % 0.39/0.60 (step @p101 :rule cnf_equiv_pos1 :args (@t88)) % 0.39/0.60 (step @p102 :rule reordering :premises (@p101) :args ((or @t85 @t83 @t89))) % 0.39/0.60 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p93) :args (@t89 (@list false true) (@list @t84 @t83))) % 0.39/0.60 (step @p104 :rule eq-symm :args (@t83 @t84)) % 0.39/0.60 (step @p105 :rule refl :args (@t75)) % 0.39/0.60 (step @p106 :rule cong :premises (@p105 @p104) :args ((=> @t75 @t90))) % 0.39/0.60 (assume-push @p114 @t75) % 0.39/0.60 (step @p108 :rule instantiate :premises (@p76) :args ((@list @t82))) % 0.39/0.60 (step-pop @p115 :rule scope :premises (@p108)) % 0.39/0.60 (step @p109 :rule process_scope :premises (@p115) :args (@t90)) % 0.39/0.60 (step @p111 :rule eq_resolve :premises (@p109 @p106)) % 0.39/0.60 (step @p112 :rule implies_elim :premises (@p111)) % 0.39/0.60 (step @p113 false :rule chain_m_resolution :premises (@p112 @p103 @p76) :args (false @t68 (@list @t88 @t75))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------