%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS188+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 : n003.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 : KRS188+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 : n003.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 05:28:29 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.51 %----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" $$unsorted)) % 0.37/0.59 (define @t8 () (tptp.model @t7 @t2)) % 0.37/0.59 (define @t9 () (@list @t7)) % 0.37/0.59 (define @t10 () (exists @t9 @t8)) % 0.37/0.59 (define @t11 () (not @t10)) % 0.37/0.59 (define @t12 () (@list @t2 @t1)) % 0.37/0.59 (define @t13 () (tptp.model @t7 @t1)) % 0.37/0.59 (define @t14 () (and @t8 @t13)) % 0.37/0.59 (define @t15 () (exists @t9 @t14)) % 0.37/0.59 (define @t16 () (tptp.status @t2 @t1 tptp.thm)) % 0.37/0.59 (define @t17 () (forall @t9 (=> @t8 @t13))) % 0.37/0.59 (define @t18 () (= @t17 @t16)) % 0.37/0.59 (define @t19 () (forall @t12 @t18)) % 0.37/0.59 (define @t20 () (tptp.model @t3 @t2)) % 0.37/0.59 (define @t21 () (forall @t5 @t4)) % 0.37/0.59 (define @t22 () (tptp.status @t2 @t1 tptp.wec)) % 0.37/0.59 (define @t23 () (@var "I3" $$unsorted)) % 0.37/0.59 (define @t24 () (tptp.model @t23 @t2)) % 0.37/0.59 (define @t25 () (not @t24)) % 0.37/0.59 (define @t26 () (tptp.model @t23 @t1)) % 0.37/0.59 (define @t27 () (and @t26 @t25)) % 0.37/0.59 (define @t28 () (@list @t23)) % 0.37/0.59 (define @t29 () (exists @t28 @t27)) % 0.37/0.59 (define @t30 () (forall @t5 (=> @t20 @t4))) % 0.37/0.59 (define @t31 () (and @t10 @t30 @t29)) % 0.37/0.59 (define @t32 () (= @t31 @t22)) % 0.37/0.59 (define @t33 () (forall @t12 @t32)) % 0.37/0.59 (define @t34 () (not @t20)) % 0.37/0.59 (define @t35 () (exists @t5 @t34)) % 0.37/0.59 (define @t36 () (@var "I4" $$unsorted)) % 0.37/0.59 (define @t37 () (exists (@list @t36) (not (tptp.model @t36 @t1)))) % 0.37/0.59 (define @t38 () (not @t26)) % 0.37/0.59 (define @t39 () (tptp.not @t1)) % 0.37/0.59 (define @t40 () (tptp.model @t3 @t39)) % 0.37/0.59 (define @t41 () (@var "S2" $$unsorted)) % 0.37/0.59 (define @t42 () (@var "S1" $$unsorted)) % 0.37/0.59 (define @t43 () (tptp.status @t2 @t1 @t41)) % 0.37/0.59 (define @t44 () (tptp.status @t2 @t1 @t42)) % 0.37/0.59 (define @t45 () (@list @t42 @t41)) % 0.37/0.59 (define @t46 () (tptp.isa @t42 @t41)) % 0.37/0.59 (define @t47 () (forall @t12 (=> @t44 @t43))) % 0.37/0.59 (define @t48 () (= @t47 @t46)) % 0.37/0.59 (define @t49 () (forall @t45 @t48)) % 0.37/0.59 (define @t50 () (not @t43)) % 0.37/0.59 (define @t51 () (@var "F" $$unsorted)) % 0.37/0.59 (define @t52 () (@var "I" $$unsorted)) % 0.37/0.59 (define @t53 () (tptp.model @t52 (tptp.not @t51))) % 0.37/0.59 (define @t54 () (tptp.model @t52 @t51)) % 0.37/0.59 (define @t55 () (@list @t52 @t51)) % 0.37/0.59 (define @t56 () (@list @t52)) % 0.37/0.59 (define @t57 () (@list @t51)) % 0.37/0.59 (define @t58 () (tptp.isa tptp.wec tptp.thm)) % 0.37/0.59 (define @t59 () (not @t8)) % 0.37/0.59 (define @t60 () (not (forall @t9 @t59))) % 0.37/0.59 (define @t61 () (forall @t28 (not @t27))) % 0.37/0.59 (define @t62 () (not @t61)) % 0.37/0.59 (define @t63 () (forall @t12 (or (not @t22) @t16))) % 0.37/0.59 (define @t64 () (@quantifiers_skolemize @t63 1)) % 0.37/0.59 (define @t65 () (@quantifiers_skolemize @t63 0)) % 0.37/0.59 (define @t66 () (@list @t65 @t64)) % 0.37/0.59 (define @t67 () (= @t58 @t63)) % 0.37/0.59 (define @t68 () (not @t63)) % 0.37/0.59 (define @t69 () (@list true false)) % 0.37/0.59 (define @t70 () (tptp.status @t65 @t64 tptp.wec)) % 0.37/0.59 (define @t71 () (tptp.status @t65 @t64 tptp.thm)) % 0.37/0.59 (define @t72 () (not @t70)) % 0.37/0.59 (define @t73 () (or @t72 @t71)) % 0.37/0.59 (define @t74 () (@list true)) % 0.37/0.59 (define @t75 () (@list @t73)) % 0.37/0.59 (define @t76 () (forall @t5 (or (not (tptp.model @t3 @t65)) (tptp.model @t3 @t64)))) % 0.37/0.59 (define @t77 () (not (tptp.model @t7 @t65))) % 0.37/0.59 (define @t78 () (and (not (forall @t9 @t77)) @t76 (not (forall @t28 (or (not (tptp.model @t23 @t64)) (tptp.model @t23 @t65)))))) % 0.37/0.59 (define @t79 () (= @t70 @t78)) % 0.37/0.59 (define @t80 () (forall @t9 (or @t77 (tptp.model @t7 @t64)))) % 0.37/0.59 (define @t81 () (= @t71 @t80)) % 0.37/0.59 (define @t82 () (not @t80)) % 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 (forall @t12 (= (and @t10 (forall @t5 (= @t20 @t4))) (tptp.status @t2 @t1 tptp.eqv)))) % 0.37/0.59 (assume @p7 (forall @t12 (= (and @t10 @t21) (tptp.status @t2 @t1 tptp.tac)))) % 0.37/0.59 (assume @p8 @t33) % 0.37/0.59 (assume @p9 (forall @t12 (= (and @t10 @t35 (forall @t28 (= @t24 @t26))) (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 @t28 @t26)) (tptp.status @t2 @t1 tptp.wtc)))) % 0.37/0.59 (assume @p12 (forall @t12 (= (and @t10 @t30 @t29 @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 @t21) (tptp.status @t2 @t1 tptp.tca)))) % 0.37/0.59 (assume @p16 (forall @t12 (= (and @t11 @t6 (exists @t28 @t38)) (tptp.status @t2 @t1 tptp.wca)))) % 0.37/0.59 (assume @p17 (forall @t12 (= (exists @t9 (and @t8 (tptp.model @t7 @t39))) (tptp.status @t2 @t1 tptp.csa)))) % 0.37/0.59 (assume @p18 (forall @t12 (= (and (forall @t9 @t8) (forall @t5 @t40)) (tptp.status @t2 @t1 tptp.uns)))) % 0.37/0.59 (assume @p19 (forall @t12 (= (and @t15 (exists @t5 (and @t20 @t40))) (tptp.status @t2 @t1 tptp.noc)))) % 0.37/0.59 (assume @p20 (forall @t45 (= (exists @t12 (and @t44 @t43)) (tptp.mighta @t42 @t41)))) % 0.37/0.59 (assume @p21 @t49) % 0.37/0.59 (assume @p22 (forall @t45 (= (exists @t12 (and @t44 @t50)) (tptp.nota @t42 @t41)))) % 0.37/0.59 (assume @p23 (forall @t45 (= (forall @t12 (=> @t44 @t50)) (tptp.nevera @t42 @t41)))) % 0.37/0.59 (assume @p24 (forall @t45 (= (forall @t12 (xor @t44 @t43)) (tptp.xora @t42 @t41)))) % 0.37/0.59 (assume @p25 (forall @t55 (xor @t54 @t53))) % 0.37/0.59 (assume @p26 (forall @t55 (= @t54 (not @t53)))) % 0.37/0.59 (assume @p27 (exists @t57 (forall @t56 @t54))) % 0.37/0.59 (assume @p28 (exists @t57 (and (exists @t9 (tptp.model @t7 @t51)) (exists @t5 (not (tptp.model @t3 @t51)))))) % 0.37/0.59 (assume @p29 (exists @t57 (forall @t56 (not @t54)))) % 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 @t30 (exists @t28 (and @t25 @t26)) @t37))) % 0.37/0.59 (assume @p32 (exists (@list @t7 @t2 @t1) (and @t8 (not @t13) @t6))) % 0.37/0.59 (assume @p33 (not @t58)) % 0.37/0.59 (assume @p34 true) % 0.37/0.59 (step @p35 :rule eq-symm :args ((and @t60 (forall @t5 (or @t34 @t4)) (not (forall @t28 (or @t38 @t24)))) @t22)) % 0.37/0.59 (step @p36 :rule refl :args (@t22)) % 0.37/0.59 (step @p37 :rule bool-double-not-elim :args (@t24)) % 0.37/0.59 (step @p38 :rule refl :args (@t38)) % 0.37/0.59 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t38 (not @t25)))) % 0.37/0.59 (step @p40 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.37/0.59 (step @p41 :rule trans :premises (@p40 @p39)) % 0.37/0.59 (step @p42 :rule cong :premises (@p41) :args (@t61)) % 0.37/0.59 (step @p43 :rule cong :premises (@p42) :args (@t62)) % 0.37/0.59 (step @p44 :rule exists-elim :args ((= @t29 @t62))) % 0.37/0.59 (step @p45 :rule trans :premises (@p44 @p43)) % 0.37/0.59 (step @p46 :rule bool-impl-elim :args (@t20 @t4)) % 0.37/0.59 (step @p47 :rule cong :premises (@p46) :args (@t30)) % 0.37/0.59 (step @p48 :rule exists-elim :args ((= @t10 @t60))) % 0.37/0.59 (step @p49 :rule nary_cong :premises (@p48 @p47 @p45) :args (@t31)) % 0.37/0.59 (step @p50 :rule cong :premises (@p49 @p36) :args (@t32)) % 0.37/0.59 (step @p51 :rule trans :premises (@p50 @p35)) % 0.37/0.59 (step @p52 :rule cong :premises (@p51) :args (@t33)) % 0.37/0.59 (step @p53 :rule eq_resolve :premises (@p8 @p52)) % 0.37/0.59 (step @p54 :rule instantiate :premises (@p53) :args (@t66)) % 0.37/0.59 (step @p55 :rule eq-symm :args ((forall @t12 (or (not @t44) @t43)) @t46)) % 0.37/0.59 (step @p56 :rule refl :args (@t46)) % 0.37/0.60 (step @p57 :rule bool-impl-elim :args (@t44 @t43)) % 0.37/0.60 (step @p58 :rule cong :premises (@p57) :args (@t47)) % 0.37/0.60 (step @p59 :rule cong :premises (@p58 @p56) :args (@t48)) % 0.37/0.60 (step @p60 :rule trans :premises (@p59 @p55)) % 0.37/0.60 (step @p61 :rule cong :premises (@p60) :args (@t49)) % 0.37/0.60 (step @p62 :rule eq_resolve :premises (@p21 @p61)) % 0.37/0.60 (step @p63 :rule instantiate :premises (@p62) :args ((@list tptp.wec tptp.thm))) % 0.37/0.60 (step @p64 :rule cnf_equiv_pos2 :args (@t67)) % 0.37/0.60 (step @p65 :rule reordering :premises (@p64) :args ((or @t58 @t68 (not @t67)))) % 0.37/0.60 (step @p66 :rule chain_m_resolution :premises (@p65 @p33 @p63) :args (@t68 @t69 (@list @t58 @t67))) % 0.37/0.60 (step @p67 :rule skolemize :premises (@p66)) % 0.37/0.60 (step @p68 :rule bool-double-not-elim :args (@t70)) % 0.37/0.60 (step @p69 :rule refl :args (@t73)) % 0.37/0.60 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t73 (not @t72)))) % 0.37/0.60 (step @p71 :rule cnf_or_neg :args (@t73 0)) % 0.37/0.60 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.37/0.60 (step @p73 :rule reordering :premises (@p72) :args ((or @t70 @t73))) % 0.37/0.60 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t70 @t74 @t75)) % 0.37/0.60 (step @p75 :rule cnf_equiv_pos1 :args (@t79)) % 0.37/0.60 (step @p76 :rule reordering :premises (@p75) :args ((or @t72 @t78 (not @t79)))) % 0.37/0.60 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p54) :args (@t78 (@list false false) (@list @t70 @t79))) % 0.37/0.60 (step @p78 :rule eq-symm :args ((forall @t9 (or @t59 @t13)) @t16)) % 0.37/0.60 (step @p79 :rule refl :args (@t16)) % 0.37/0.60 (step @p80 :rule bool-impl-elim :args (@t8 @t13)) % 0.37/0.60 (step @p81 :rule cong :premises (@p80) :args (@t17)) % 0.37/0.60 (step @p82 :rule cong :premises (@p81 @p79) :args (@t18)) % 0.37/0.60 (step @p83 :rule trans :premises (@p82 @p78)) % 0.37/0.60 (step @p84 :rule cong :premises (@p83) :args (@t19)) % 0.37/0.60 (step @p85 :rule eq_resolve :premises (@p5 @p84)) % 0.37/0.60 (step @p86 :rule instantiate :premises (@p85) :args (@t66)) % 0.37/0.60 (step @p87 :rule cnf_or_neg :args (@t73 1)) % 0.37/0.60 (step @p88 :rule chain_m_resolution :premises (@p87 @p67) :args ((not @t71) @t74 @t75)) % 0.37/0.60 (step @p89 :rule cnf_equiv_pos2 :args (@t81)) % 0.37/0.60 (step @p90 :rule reordering :premises (@p89) :args ((or @t71 @t82 (not @t81)))) % 0.37/0.60 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p86) :args (@t82 @t69 (@list @t71 @t81))) % 0.37/0.60 (step @p92 :rule alpha_equiv :args (@t80 (@list @t7) (@list @t3))) % 0.37/0.60 (step @p93 :rule equiv_elim2 :premises (@p92)) % 0.37/0.60 (step @p94 :rule chain_m_resolution :premises (@p93 @p91) :args ((not @t76) @t74 (@list @t80))) % 0.37/0.60 (step @p95 :rule cnf_and_pos :args (@t78 1)) % 0.37/0.60 (step @p96 :rule reordering :premises (@p95) :args ((or @t76 (not @t78)))) % 0.37/0.60 (step @p97 false :rule chain_m_resolution :premises (@p96 @p94 @p77) :args (false @t69 (@list @t76 @t78))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------