%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS233+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 : n028.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 08:29:09 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 % 0.00/0.13 % Problem : KRS233+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n028.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 05:34:05 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 () (not @t20)) % 0.39/0.60 (define @t30 () (exists @t5 @t29)) % 0.39/0.60 (define @t31 () (@var "I4" $$unsorted)) % 0.39/0.60 (define @t32 () (exists (@list @t31) (not (tptp.model @t31 @t1)))) % 0.39/0.60 (define @t33 () (tptp.status @t2 @t1 tptp.csa)) % 0.39/0.60 (define @t34 () (tptp.not @t1)) % 0.39/0.60 (define @t35 () (tptp.model @t7 @t34)) % 0.39/0.60 (define @t36 () (and @t8 @t35)) % 0.39/0.60 (define @t37 () (exists @t9 @t36)) % 0.39/0.60 (define @t38 () (= @t37 @t33)) % 0.39/0.60 (define @t39 () (forall @t12 @t38)) % 0.39/0.60 (define @t40 () (tptp.model @t3 @t34)) % 0.39/0.60 (define @t41 () (@var "S2" $$unsorted)) % 0.39/0.60 (define @t42 () (@var "S1" $$unsorted)) % 0.39/0.60 (define @t43 () (tptp.status @t2 @t1 @t41)) % 0.39/0.60 (define @t44 () (tptp.status @t2 @t1 @t42)) % 0.39/0.60 (define @t45 () (@list @t42 @t41)) % 0.39/0.60 (define @t46 () (not @t43)) % 0.39/0.60 (define @t47 () (tptp.nevera @t42 @t41)) % 0.39/0.60 (define @t48 () (forall @t12 (=> @t44 @t46))) % 0.39/0.60 (define @t49 () (= @t48 @t47)) % 0.39/0.60 (define @t50 () (forall @t45 @t49)) % 0.39/0.60 (define @t51 () (@var "F" $$unsorted)) % 0.39/0.60 (define @t52 () (@var "I" $$unsorted)) % 0.39/0.60 (define @t53 () (tptp.model @t52 (tptp.not @t51))) % 0.39/0.60 (define @t54 () (tptp.model @t52 @t51)) % 0.39/0.60 (define @t55 () (@list @t52 @t51)) % 0.39/0.60 (define @t56 () (forall @t55 (xor @t54 @t53))) % 0.39/0.60 (define @t57 () (@list @t52)) % 0.39/0.60 (define @t58 () (@list @t51)) % 0.39/0.60 (define @t59 () (not @t54)) % 0.39/0.60 (define @t60 () (tptp.nevera tptp.csa tptp.thm)) % 0.39/0.60 (define @t61 () (not @t8)) % 0.39/0.60 (define @t62 () (forall @t9 (not @t36))) % 0.39/0.60 (define @t63 () (not @t62)) % 0.39/0.60 (define @t64 () (forall @t12 (or (not @t33) (not @t16)))) % 0.39/0.60 (define @t65 () (@quantifiers_skolemize @t64 1)) % 0.39/0.60 (define @t66 () (@quantifiers_skolemize @t64 0)) % 0.39/0.60 (define @t67 () (@list @t66 @t65)) % 0.39/0.60 (define @t68 () (= @t60 @t64)) % 0.39/0.60 (define @t69 () (not @t64)) % 0.39/0.60 (define @t70 () (tptp.status @t66 @t65 tptp.csa)) % 0.39/0.60 (define @t71 () (tptp.status @t66 @t65 tptp.thm)) % 0.39/0.60 (define @t72 () (not @t71)) % 0.39/0.60 (define @t73 () (not @t70)) % 0.39/0.60 (define @t74 () (or @t73 @t72)) % 0.39/0.60 (define @t75 () (@list true)) % 0.39/0.60 (define @t76 () (@list @t74)) % 0.39/0.60 (define @t77 () (tptp.not @t65)) % 0.39/0.60 (define @t78 () (not (tptp.model @t7 @t66))) % 0.39/0.60 (define @t79 () (forall @t9 (or @t78 (not (tptp.model @t7 @t77))))) % 0.39/0.60 (define @t80 () (not @t79)) % 0.39/0.60 (define @t81 () (= @t70 @t80)) % 0.39/0.60 (define @t82 () (@list false false)) % 0.39/0.60 (define @t83 () (@quantifiers_skolemize @t79 0)) % 0.39/0.60 (define @t84 () (tptp.model @t83 @t66)) % 0.39/0.60 (define @t85 () (tptp.model @t83 @t77)) % 0.39/0.60 (define @t86 () (not @t85)) % 0.39/0.60 (define @t87 () (not @t84)) % 0.39/0.60 (define @t88 () (or @t87 @t86)) % 0.39/0.60 (define @t89 () (@list @t88)) % 0.39/0.60 (define @t90 () (forall @t9 (or @t78 (tptp.model @t7 @t65)))) % 0.39/0.60 (define @t91 () (= @t71 @t90)) % 0.39/0.60 (define @t92 () (tptp.model @t83 @t65)) % 0.39/0.60 (define @t93 () (not @t92)) % 0.39/0.60 (define @t94 () (= @t85 @t93)) % 0.39/0.60 (define @t95 () (or @t87 @t92)) % 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 (forall @t12 (= (and @t10 @t30 (forall @t26 (= @t23 @t25))) (tptp.status @t2 @t1 tptp.eth)))) % 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 @t30 (forall @t26 @t25)) (tptp.status @t2 @t1 tptp.wtc)))) % 0.39/0.60 (assume @p12 (forall @t12 (= (and @t10 @t28 @t27 @t32) (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 @t39) % 0.39/0.60 (assume @p18 (forall @t12 (= (and (forall @t9 @t8) (forall @t5 @t40)) (tptp.status @t2 @t1 tptp.uns)))) % 0.39/0.60 (assume @p19 (forall @t12 (= (and @t15 (exists @t5 (and @t20 @t40))) (tptp.status @t2 @t1 tptp.noc)))) % 0.39/0.60 (assume @p20 (forall @t45 (= (exists @t12 (and @t44 @t43)) (tptp.mighta @t42 @t41)))) % 0.39/0.60 (assume @p21 (forall @t45 (= (forall @t12 (=> @t44 @t43)) (tptp.isa @t42 @t41)))) % 0.39/0.60 (assume @p22 (forall @t45 (= (exists @t12 (and @t44 @t46)) (tptp.nota @t42 @t41)))) % 0.39/0.60 (assume @p23 @t50) % 0.39/0.60 (assume @p24 (forall @t45 (= (forall @t12 (xor @t44 @t43)) (tptp.xora @t42 @t41)))) % 0.39/0.60 (assume @p25 @t56) % 0.39/0.60 (assume @p26 (forall @t55 (= @t54 (not @t53)))) % 0.39/0.60 (assume @p27 (exists @t58 (forall @t57 @t54))) % 0.39/0.60 (assume @p28 (exists @t58 (and (exists @t9 (tptp.model @t7 @t51)) (exists @t5 (not (tptp.model @t3 @t51)))))) % 0.39/0.60 (assume @p29 (exists @t58 (forall @t57 @t59))) % 0.39/0.60 (assume @p30 (exists @t12 (and @t15 (exists @t5 (or @t29 (not @t4)))))) % 0.39/0.60 (assume @p31 (exists @t12 (and @t10 @t28 (exists @t26 (and @t24 @t25)) @t32))) % 0.39/0.60 (assume @p32 (exists (@list @t7 @t2 @t1) (and @t8 (not @t13) @t6))) % 0.39/0.60 (assume @p33 (not @t60)) % 0.39/0.60 (assume @p34 true) % 0.39/0.60 (step @p35 :rule eq-symm :args ((not (forall @t9 (or @t61 (not @t35)))) @t33)) % 0.39/0.60 (step @p36 :rule refl :args (@t33)) % 0.39/0.60 (step @p37 :rule bool-and-de-morgan :args (@t8 @t35 true)) % 0.39/0.60 (step @p38 :rule cong :premises (@p37) :args (@t62)) % 0.39/0.60 (step @p39 :rule cong :premises (@p38) :args (@t63)) % 0.39/0.60 (step @p40 :rule exists-elim :args ((= @t37 @t63))) % 0.39/0.60 (step @p41 :rule trans :premises (@p40 @p39)) % 0.39/0.60 (step @p42 :rule cong :premises (@p41 @p36) :args (@t38)) % 0.39/0.60 (step @p43 :rule trans :premises (@p42 @p35)) % 0.39/0.60 (step @p44 :rule cong :premises (@p43) :args (@t39)) % 0.39/0.60 (step @p45 :rule eq_resolve :premises (@p17 @p44)) % 0.39/0.60 (step @p46 :rule instantiate :premises (@p45) :args (@t67)) % 0.39/0.60 (step @p47 :rule eq-symm :args ((forall @t12 (or (not @t44) @t46)) @t47)) % 0.39/0.60 (step @p48 :rule refl :args (@t47)) % 0.39/0.60 (step @p49 :rule bool-impl-elim :args (@t44 @t46)) % 0.39/0.60 (step @p50 :rule cong :premises (@p49) :args (@t48)) % 0.39/0.60 (step @p51 :rule cong :premises (@p50 @p48) :args (@t49)) % 0.39/0.60 (step @p52 :rule trans :premises (@p51 @p47)) % 0.39/0.60 (step @p53 :rule cong :premises (@p52) :args (@t50)) % 0.39/0.60 (step @p54 :rule eq_resolve :premises (@p23 @p53)) % 0.39/0.60 (step @p55 :rule instantiate :premises (@p54) :args ((@list tptp.csa tptp.thm))) % 0.39/0.60 (step @p56 :rule cnf_equiv_pos2 :args (@t68)) % 0.39/0.60 (step @p57 :rule reordering :premises (@p56) :args ((or @t60 @t69 (not @t68)))) % 0.39/0.60 (step @p58 :rule chain_m_resolution :premises (@p57 @p33 @p55) :args (@t69 (@list true false) (@list @t60 @t68))) % 0.39/0.60 (step @p59 :rule skolemize :premises (@p58)) % 0.39/0.60 (step @p60 :rule bool-double-not-elim :args (@t70)) % 0.39/0.60 (step @p61 :rule refl :args (@t74)) % 0.39/0.60 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t74 (not @t73)))) % 0.39/0.60 (step @p63 :rule cnf_or_neg :args (@t74 0)) % 0.39/0.60 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.39/0.60 (step @p65 :rule reordering :premises (@p64) :args ((or @t70 @t74))) % 0.39/0.60 (step @p66 :rule chain_m_resolution :premises (@p65 @p59) :args (@t70 @t75 @t76)) % 0.39/0.60 (step @p67 :rule cnf_equiv_pos1 :args (@t81)) % 0.39/0.60 (step @p68 :rule reordering :premises (@p67) :args ((or @t73 @t80 (not @t81)))) % 0.39/0.60 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p46) :args (@t80 @t82 (@list @t70 @t81))) % 0.39/0.60 (step @p70 :rule skolemize :premises (@p69)) % 0.39/0.60 (step @p71 :rule bool-double-not-elim :args (@t84)) % 0.39/0.60 (step @p72 :rule refl :args (@t88)) % 0.39/0.60 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t88 (not @t87)))) % 0.39/0.60 (step @p74 :rule cnf_or_neg :args (@t88 0)) % 0.39/0.60 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.39/0.60 (step @p76 :rule reordering :premises (@p75) :args ((or @t84 @t88))) % 0.39/0.60 (step @p77 :rule chain_m_resolution :premises (@p76 @p70) :args (@t84 @t75 @t89)) % 0.39/0.60 (step @p78 :rule eq-symm :args ((forall @t9 (or @t61 @t13)) @t16)) % 0.39/0.60 (step @p79 :rule refl :args (@t16)) % 0.39/0.60 (step @p80 :rule bool-impl-elim :args (@t8 @t13)) % 0.39/0.60 (step @p81 :rule cong :premises (@p80) :args (@t17)) % 0.39/0.60 (step @p82 :rule cong :premises (@p81 @p79) :args (@t18)) % 0.39/0.60 (step @p83 :rule trans :premises (@p82 @p78)) % 0.39/0.60 (step @p84 :rule cong :premises (@p83) :args (@t19)) % 0.39/0.60 (step @p85 :rule eq_resolve :premises (@p5 @p84)) % 0.39/0.60 (step @p86 :rule instantiate :premises (@p85) :args (@t67)) % 0.39/0.60 (step @p87 :rule bool-double-not-elim :args (@t71)) % 0.39/0.60 (step @p88 :rule nary_cong :premises (@p61 @p87) :args ((or @t74 (not @t72)))) % 0.39/0.60 (step @p89 :rule cnf_or_neg :args (@t74 1)) % 0.39/0.60 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.39/0.60 (step @p91 :rule reordering :premises (@p90) :args ((or @t71 @t74))) % 0.39/0.60 (step @p92 :rule chain_m_resolution :premises (@p91 @p59) :args (@t71 @t75 @t76)) % 0.39/0.60 (step @p93 :rule cnf_equiv_pos1 :args (@t91)) % 0.39/0.60 (step @p94 :rule reordering :premises (@p93) :args ((or @t72 @t90 (not @t91)))) % 0.39/0.60 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p86) :args (@t90 @t82 (@list @t71 @t91))) % 0.39/0.60 (step @p96 :rule instantiate :premises (@p95) :args ((@list @t83))) % 0.39/0.60 (step @p97 :rule eq-symm :args (@t59 @t53)) % 0.39/0.60 (step @p98 :rule cong :premises (@p97) :args ((forall @t55 (= @t59 @t53)))) % 0.39/0.60 (step @p99 :rule bool-xor-elim :args (@t54 @t53)) % 0.39/0.60 (step @p100 :rule cong :premises (@p99) :args (@t56)) % 0.39/0.60 (step @p101 :rule trans :premises (@p100 @p98)) % 0.39/0.60 (step @p102 :rule eq_resolve :premises (@p25 @p101)) % 0.39/0.60 (step @p103 :rule instantiate :premises (@p102) :args ((@list @t83 @t65))) % 0.39/0.60 (step @p104 :rule bool-double-not-elim :args (@t85)) % 0.39/0.60 (step @p105 :rule nary_cong :premises (@p72 @p104) :args ((or @t88 (not @t86)))) % 0.39/0.60 (step @p106 :rule cnf_or_neg :args (@t88 1)) % 0.39/0.60 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.39/0.60 (step @p108 :rule reordering :premises (@p107) :args ((or @t85 @t88))) % 0.39/0.60 (step @p109 :rule chain_m_resolution :premises (@p108 @p70) :args (@t85 @t75 @t89)) % 0.39/0.60 (step @p110 :rule cnf_equiv_pos1 :args (@t94)) % 0.39/0.60 (step @p111 :rule reordering :premises (@p110) :args ((or @t86 @t93 (not @t94)))) % 0.39/0.60 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p103) :args (@t93 @t82 (@list @t85 @t94))) % 0.39/0.60 (step @p113 :rule cnf_or_pos :args (@t95)) % 0.39/0.60 (step @p114 :rule reordering :premises (@p113) :args ((or @t87 @t92 (not @t95)))) % 0.39/0.60 (step @p115 false :rule chain_m_resolution :premises (@p114 @p112 @p96 @p77) :args (false (@list true false false) (@list @t92 @t95 @t84))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------