%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS186+1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS186+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 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 : n005.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 05:28:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.xora (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.nevera (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.nota (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.mighta (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.noc $$unsorted) % 0.37/0.59 (declare-const tptp.uns $$unsorted) % 0.37/0.59 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.tca $$unsorted) % 0.37/0.59 (declare-const tptp.sca $$unsorted) % 0.37/0.59 (declare-const tptp.wth $$unsorted) % 0.37/0.59 (declare-const tptp.unp $$unsorted) % 0.37/0.59 (declare-const tptp.wca $$unsorted) % 0.37/0.59 (declare-const tptp.wec $$unsorted) % 0.37/0.59 (declare-const tptp.sap $$unsorted) % 0.37/0.59 (declare-const tptp.wtc $$unsorted) % 0.37/0.59 (declare-const tptp.model (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.sat $$unsorted) % 0.37/0.59 (declare-const tptp.cax $$unsorted) % 0.37/0.59 (declare-const tptp.eqv $$unsorted) % 0.37/0.59 (declare-const tptp.esa $$unsorted) % 0.37/0.59 (declare-const tptp.csa $$unsorted) % 0.37/0.59 (declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.thm $$unsorted) % 0.37/0.59 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.eth $$unsorted) % 0.37/0.59 (declare-const tptp.tac $$unsorted) % 0.37/0.59 (declare-const tptp.tau $$unsorted) % 0.37/0.59 (define @t1 () (@var "C" $$unsorted)) % 0.37/0.59 (define @t2 () (@var "Ax" $$unsorted)) % 0.37/0.59 (define @t3 () (@var "I2" $$unsorted)) % 0.37/0.59 (define @t4 () (tptp.model @t3 @t1)) % 0.37/0.59 (define @t5 () (@list @t3)) % 0.37/0.59 (define @t6 () (exists @t5 @t4)) % 0.37/0.59 (define @t7 () (@var "I1" $$unsorted)) % 0.37/0.59 (define @t8 () (tptp.model @t7 @t2)) % 0.37/0.59 (define @t9 () (@list @t7)) % 0.37/0.59 (define @t10 () (exists @t9 @t8)) % 0.37/0.59 (define @t11 () (not @t10)) % 0.37/0.59 (define @t12 () (@list @t2 @t1)) % 0.37/0.59 (define @t13 () (tptp.model @t7 @t1)) % 0.37/0.59 (define @t14 () (and @t8 @t13)) % 0.37/0.59 (define @t15 () (exists @t9 @t14)) % 0.37/0.59 (define @t16 () (tptp.status @t2 @t1 tptp.thm)) % 0.37/0.59 (define @t17 () (forall @t9 (=> @t8 @t13))) % 0.37/0.59 (define @t18 () (= @t17 @t16)) % 0.37/0.59 (define @t19 () (forall @t12 @t18)) % 0.37/0.59 (define @t20 () (tptp.status @t2 @t1 tptp.eqv)) % 0.37/0.59 (define @t21 () (tptp.model @t3 @t2)) % 0.37/0.59 (define @t22 () (forall @t5 (= @t21 @t4))) % 0.37/0.59 (define @t23 () (and @t10 @t22)) % 0.37/0.59 (define @t24 () (= @t23 @t20)) % 0.37/0.59 (define @t25 () (forall @t12 @t24)) % 0.37/0.59 (define @t26 () (forall @t5 @t4)) % 0.37/0.59 (define @t27 () (@var "I3" $$unsorted)) % 0.37/0.59 (define @t28 () (tptp.model @t27 @t2)) % 0.37/0.59 (define @t29 () (not @t28)) % 0.37/0.59 (define @t30 () (tptp.model @t27 @t1)) % 0.37/0.59 (define @t31 () (@list @t27)) % 0.37/0.59 (define @t32 () (exists @t31 (and @t30 @t29))) % 0.37/0.59 (define @t33 () (forall @t5 (=> @t21 @t4))) % 0.37/0.59 (define @t34 () (not @t21)) % 0.37/0.59 (define @t35 () (exists @t5 @t34)) % 0.37/0.59 (define @t36 () (@var "I4" $$unsorted)) % 0.37/0.59 (define @t37 () (exists (@list @t36) (not (tptp.model @t36 @t1)))) % 0.37/0.59 (define @t38 () (tptp.not @t1)) % 0.37/0.59 (define @t39 () (tptp.model @t3 @t38)) % 0.37/0.59 (define @t40 () (@var "S2" $$unsorted)) % 0.37/0.59 (define @t41 () (@var "S1" $$unsorted)) % 0.37/0.59 (define @t42 () (tptp.status @t2 @t1 @t40)) % 0.37/0.59 (define @t43 () (tptp.status @t2 @t1 @t41)) % 0.37/0.59 (define @t44 () (@list @t41 @t40)) % 0.37/0.59 (define @t45 () (tptp.isa @t41 @t40)) % 0.37/0.59 (define @t46 () (forall @t12 (=> @t43 @t42))) % 0.37/0.59 (define @t47 () (= @t46 @t45)) % 0.37/0.59 (define @t48 () (forall @t44 @t47)) % 0.37/0.59 (define @t49 () (not @t42)) % 0.37/0.59 (define @t50 () (@var "F" $$unsorted)) % 0.37/0.59 (define @t51 () (@var "I" $$unsorted)) % 0.37/0.59 (define @t52 () (tptp.model @t51 (tptp.not @t50))) % 0.37/0.59 (define @t53 () (tptp.model @t51 @t50)) % 0.37/0.59 (define @t54 () (@list @t51 @t50)) % 0.37/0.59 (define @t55 () (@list @t51)) % 0.37/0.59 (define @t56 () (@list @t50)) % 0.37/0.59 (define @t57 () (tptp.isa tptp.eqv tptp.thm)) % 0.37/0.59 (define @t58 () (not @t8)) % 0.37/0.59 (define @t59 () (not (forall @t9 @t58))) % 0.37/0.59 (define @t60 () (forall @t12 (or (not @t20) @t16))) % 0.37/0.59 (define @t61 () (@quantifiers_skolemize @t60 1)) % 0.37/0.59 (define @t62 () (@quantifiers_skolemize @t60 0)) % 0.37/0.59 (define @t63 () (@list @t62 @t61)) % 0.37/0.59 (define @t64 () (= @t57 @t60)) % 0.37/0.59 (define @t65 () (not @t60)) % 0.37/0.59 (define @t66 () (@list true false)) % 0.37/0.59 (define @t67 () (tptp.status @t62 @t61 tptp.eqv)) % 0.37/0.59 (define @t68 () (tptp.status @t62 @t61 tptp.thm)) % 0.37/0.59 (define @t69 () (not @t67)) % 0.37/0.59 (define @t70 () (or @t69 @t68)) % 0.37/0.59 (define @t71 () (@list true)) % 0.37/0.59 (define @t72 () (@list @t70)) % 0.37/0.59 (define @t73 () (forall @t5 (= (tptp.model @t3 @t61) (tptp.model @t3 @t62)))) % 0.37/0.59 (define @t74 () (not (tptp.model @t7 @t62))) % 0.37/0.59 (define @t75 () (and (not (forall @t9 @t74)) @t73)) % 0.37/0.59 (define @t76 () (= @t67 @t75)) % 0.37/0.59 (define @t77 () (forall @t9 (or @t74 (tptp.model @t7 @t61)))) % 0.37/0.59 (define @t78 () (= @t68 @t77)) % 0.37/0.59 (define @t79 () (not @t77)) % 0.37/0.59 (define @t80 () (@quantifiers_skolemize @t77 0)) % 0.37/0.59 (define @t81 () (tptp.model @t80 @t61)) % 0.37/0.59 (define @t82 () (tptp.model @t80 @t62)) % 0.37/0.59 (define @t83 () (not @t82)) % 0.37/0.59 (define @t84 () (or @t83 @t81)) % 0.37/0.59 (define @t85 () (@list @t84)) % 0.37/0.59 (define @t86 () (= @t82 @t81)) % 0.37/0.59 (define @t87 () (not @t86)) % 0.37/0.59 (define @t88 () (= @t81 @t82)) % 0.37/0.59 (assume @p1 (forall @t12 (= (=> @t11 (not @t6)) (tptp.status @t2 @t1 tptp.unp)))) % 0.37/0.59 (assume @p2 (forall @t12 (= (=> @t10 @t6) (tptp.status @t2 @t1 tptp.sap)))) % 0.37/0.59 (assume @p3 (forall @t12 (= (= @t10 @t6) (tptp.status @t2 @t1 tptp.esa)))) % 0.37/0.59 (assume @p4 (forall @t12 (= @t15 (tptp.status @t2 @t1 tptp.sat)))) % 0.37/0.59 (assume @p5 @t19) % 0.37/0.59 (assume @p6 @t25) % 0.37/0.59 (assume @p7 (forall @t12 (= (and @t10 @t26) (tptp.status @t2 @t1 tptp.tac)))) % 0.37/0.59 (assume @p8 (forall @t12 (= (and @t10 @t33 @t32) (tptp.status @t2 @t1 tptp.wec)))) % 0.37/0.59 (assume @p9 (forall @t12 (= (and @t10 @t35 (forall @t31 (= @t28 @t30))) (tptp.status @t2 @t1 tptp.eth)))) % 0.37/0.59 (assume @p10 (forall @t12 (= (forall @t9 @t14) (tptp.status @t2 @t1 tptp.tau)))) % 0.37/0.59 (assume @p11 (forall @t12 (= (and @t10 @t35 (forall @t31 @t30)) (tptp.status @t2 @t1 tptp.wtc)))) % 0.37/0.59 (assume @p12 (forall @t12 (= (and @t10 @t33 @t32 @t37) (tptp.status @t2 @t1 tptp.wth)))) % 0.37/0.59 (assume @p13 (forall @t12 (= @t11 (tptp.status @t2 @t1 tptp.cax)))) % 0.37/0.59 (assume @p14 (forall @t12 (= (and @t11 @t6) (tptp.status @t2 @t1 tptp.sca)))) % 0.37/0.59 (assume @p15 (forall @t12 (= (and @t11 @t26) (tptp.status @t2 @t1 tptp.tca)))) % 0.37/0.59 (assume @p16 (forall @t12 (= (and @t11 @t6 (exists @t31 (not @t30))) (tptp.status @t2 @t1 tptp.wca)))) % 0.37/0.59 (assume @p17 (forall @t12 (= (exists @t9 (and @t8 (tptp.model @t7 @t38))) (tptp.status @t2 @t1 tptp.csa)))) % 0.37/0.59 (assume @p18 (forall @t12 (= (and (forall @t9 @t8) (forall @t5 @t39)) (tptp.status @t2 @t1 tptp.uns)))) % 0.37/0.59 (assume @p19 (forall @t12 (= (and @t15 (exists @t5 (and @t21 @t39))) (tptp.status @t2 @t1 tptp.noc)))) % 0.37/0.59 (assume @p20 (forall @t44 (= (exists @t12 (and @t43 @t42)) (tptp.mighta @t41 @t40)))) % 0.37/0.59 (assume @p21 @t48) % 0.37/0.59 (assume @p22 (forall @t44 (= (exists @t12 (and @t43 @t49)) (tptp.nota @t41 @t40)))) % 0.37/0.59 (assume @p23 (forall @t44 (= (forall @t12 (=> @t43 @t49)) (tptp.nevera @t41 @t40)))) % 0.37/0.59 (assume @p24 (forall @t44 (= (forall @t12 (xor @t43 @t42)) (tptp.xora @t41 @t40)))) % 0.37/0.59 (assume @p25 (forall @t54 (xor @t53 @t52))) % 0.37/0.59 (assume @p26 (forall @t54 (= @t53 (not @t52)))) % 0.37/0.59 (assume @p27 (exists @t56 (forall @t55 @t53))) % 0.37/0.59 (assume @p28 (exists @t56 (and (exists @t9 (tptp.model @t7 @t50)) (exists @t5 (not (tptp.model @t3 @t50)))))) % 0.37/0.59 (assume @p29 (exists @t56 (forall @t55 (not @t53)))) % 0.37/0.59 (assume @p30 (exists @t12 (and @t15 (exists @t5 (or @t34 (not @t4)))))) % 0.37/0.59 (assume @p31 (exists @t12 (and @t10 @t33 (exists @t31 (and @t29 @t30)) @t37))) % 0.37/0.59 (assume @p32 (exists (@list @t7 @t2 @t1) (and @t8 (not @t13) @t6))) % 0.37/0.59 (assume @p33 (not @t57)) % 0.37/0.59 (assume @p34 true) % 0.37/0.59 (step @p35 :rule eq-symm :args ((and @t59 (forall @t5 (= @t4 @t21))) @t20)) % 0.37/0.59 (step @p36 :rule refl :args (@t20)) % 0.37/0.59 (step @p37 :rule eq-symm :args (@t21 @t4)) % 0.37/0.59 (step @p38 :rule cong :premises (@p37) :args (@t22)) % 0.37/0.59 (step @p39 :rule exists-elim :args ((= @t10 @t59))) % 0.37/0.59 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t23)) % 0.37/0.59 (step @p41 :rule cong :premises (@p40 @p36) :args (@t24)) % 0.37/0.59 (step @p42 :rule trans :premises (@p41 @p35)) % 0.37/0.59 (step @p43 :rule cong :premises (@p42) :args (@t25)) % 0.37/0.59 (step @p44 :rule eq_resolve :premises (@p6 @p43)) % 0.37/0.59 (step @p45 :rule instantiate :premises (@p44) :args (@t63)) % 0.37/0.59 (step @p46 :rule eq-symm :args ((forall @t12 (or (not @t43) @t42)) @t45)) % 0.37/0.59 (step @p47 :rule refl :args (@t45)) % 0.37/0.59 (step @p48 :rule bool-impl-elim :args (@t43 @t42)) % 0.37/0.59 (step @p49 :rule cong :premises (@p48) :args (@t46)) % 0.37/0.59 (step @p50 :rule cong :premises (@p49 @p47) :args (@t47)) % 0.37/0.59 (step @p51 :rule trans :premises (@p50 @p46)) % 0.37/0.59 (step @p52 :rule cong :premises (@p51) :args (@t48)) % 0.37/0.59 (step @p53 :rule eq_resolve :premises (@p21 @p52)) % 0.37/0.59 (step @p54 :rule instantiate :premises (@p53) :args ((@list tptp.eqv tptp.thm))) % 0.37/0.59 (step @p55 :rule cnf_equiv_pos2 :args (@t64)) % 0.37/0.59 (step @p56 :rule reordering :premises (@p55) :args ((or @t57 @t65 (not @t64)))) % 0.37/0.59 (step @p57 :rule chain_m_resolution :premises (@p56 @p33 @p54) :args (@t65 @t66 (@list @t57 @t64))) % 0.37/0.59 (step @p58 :rule skolemize :premises (@p57)) % 0.37/0.59 (step @p59 :rule bool-double-not-elim :args (@t67)) % 0.37/0.59 (step @p60 :rule refl :args (@t70)) % 0.37/0.59 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t70 (not @t69)))) % 0.37/0.59 (step @p62 :rule cnf_or_neg :args (@t70 0)) % 0.37/0.59 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.37/0.59 (step @p64 :rule reordering :premises (@p63) :args ((or @t67 @t70))) % 0.37/0.59 (step @p65 :rule chain_m_resolution :premises (@p64 @p58) :args (@t67 @t71 @t72)) % 0.37/0.59 (step @p66 :rule cnf_equiv_pos1 :args (@t76)) % 0.37/0.59 (step @p67 :rule reordering :premises (@p66) :args ((or @t69 @t75 (not @t76)))) % 0.37/0.59 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p45) :args (@t75 (@list false false) (@list @t67 @t76))) % 0.37/0.59 (step @p69 :rule cnf_and_pos :args (@t75 1)) % 0.37/0.59 (step @p70 :rule reordering :premises (@p69) :args ((or @t73 (not @t75)))) % 0.37/0.59 (step @p71 :rule chain_m_resolution :premises (@p70 @p68) :args (@t73 (@list false) (@list @t75))) % 0.37/0.59 (step @p72 :rule eq-symm :args ((forall @t9 (or @t58 @t13)) @t16)) % 0.37/0.59 (step @p73 :rule refl :args (@t16)) % 0.37/0.59 (step @p74 :rule bool-impl-elim :args (@t8 @t13)) % 0.37/0.59 (step @p75 :rule cong :premises (@p74) :args (@t17)) % 0.37/0.59 (step @p76 :rule cong :premises (@p75 @p73) :args (@t18)) % 0.37/0.59 (step @p77 :rule trans :premises (@p76 @p72)) % 0.37/0.59 (step @p78 :rule cong :premises (@p77) :args (@t19)) % 0.37/0.59 (step @p79 :rule eq_resolve :premises (@p5 @p78)) % 0.37/0.59 (step @p80 :rule instantiate :premises (@p79) :args (@t63)) % 0.37/0.59 (step @p81 :rule cnf_or_neg :args (@t70 1)) % 0.37/0.59 (step @p82 :rule chain_m_resolution :premises (@p81 @p58) :args ((not @t68) @t71 @t72)) % 0.37/0.59 (step @p83 :rule cnf_equiv_pos2 :args (@t78)) % 0.37/0.59 (step @p84 :rule reordering :premises (@p83) :args ((or @t68 @t79 (not @t78)))) % 0.37/0.59 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p80) :args (@t79 @t66 (@list @t68 @t78))) % 0.37/0.59 (step @p86 :rule skolemize :premises (@p85)) % 0.37/0.59 (step @p87 :rule cnf_or_neg :args (@t84 1)) % 0.37/0.59 (step @p88 :rule chain_m_resolution :premises (@p87 @p86) :args ((not @t81) @t71 @t85)) % 0.37/0.59 (step @p89 :rule bool-double-not-elim :args (@t82)) % 0.37/0.59 (step @p90 :rule refl :args (@t84)) % 0.37/0.59 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t84 (not @t83)))) % 0.37/0.59 (step @p92 :rule cnf_or_neg :args (@t84 0)) % 0.37/0.59 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.37/0.59 (step @p94 :rule reordering :premises (@p93) :args ((or @t82 @t84))) % 0.37/0.59 (step @p95 :rule chain_m_resolution :premises (@p94 @p86) :args (@t82 @t71 @t85)) % 0.37/0.59 (step @p96 :rule cnf_equiv_pos1 :args (@t86)) % 0.37/0.59 (step @p97 :rule reordering :premises (@p96) :args ((or @t83 @t81 @t87))) % 0.37/0.59 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p88) :args (@t87 (@list false true) (@list @t82 @t81))) % 0.37/0.59 (step @p99 :rule eq-symm :args (@t81 @t82)) % 0.37/0.59 (step @p100 :rule refl :args (@t73)) % 0.37/0.59 (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t73 @t88))) % 0.37/0.59 (assume-push @p109 @t73) % 0.37/0.59 (step @p103 :rule instantiate :premises (@p71) :args ((@list @t80))) % 0.37/0.59 (step-pop @p110 :rule scope :premises (@p103)) % 0.37/0.59 (step @p104 :rule process_scope :premises (@p110) :args (@t88)) % 0.37/0.59 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 0.37/0.59 (step @p107 :rule implies_elim :premises (@p106)) % 0.37/0.59 (step @p108 false :rule chain_m_resolution :premises (@p107 @p98 @p71) :args (false @t66 (@list @t86 @t73))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------