%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS192+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 : n026.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 08:29:06 AM UTC 2026 % Result : Theorem 0.41s 0.60s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS192+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n026.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 05:29:10 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.60 % SZS status Theorem % 0.41/0.60 % SZS output start Proof % 0.41/0.60 ( % 0.41/0.60 (declare-sort $$unsorted 0) % 0.41/0.60 (declare-const tptp.xora (-> $$unsorted $$unsorted Bool)) % 0.41/0.60 (declare-const tptp.nevera (-> $$unsorted $$unsorted Bool)) % 0.41/0.60 (declare-const tptp.nota (-> $$unsorted $$unsorted Bool)) % 0.41/0.60 (declare-const tptp.mighta (-> $$unsorted $$unsorted Bool)) % 0.41/0.60 (declare-const tptp.noc $$unsorted) % 0.41/0.60 (declare-const tptp.uns $$unsorted) % 0.41/0.60 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.tca $$unsorted) % 0.41/0.60 (declare-const tptp.sca $$unsorted) % 0.41/0.60 (declare-const tptp.wth $$unsorted) % 0.41/0.60 (declare-const tptp.unp $$unsorted) % 0.41/0.60 (declare-const tptp.wca $$unsorted) % 0.41/0.60 (declare-const tptp.wec $$unsorted) % 0.41/0.60 (declare-const tptp.sap $$unsorted) % 0.41/0.60 (declare-const tptp.wtc $$unsorted) % 0.41/0.60 (declare-const tptp.model (-> $$unsorted $$unsorted Bool)) % 0.41/0.60 (declare-const tptp.sat $$unsorted) % 0.41/0.60 (declare-const tptp.cax $$unsorted) % 0.41/0.60 (declare-const tptp.eqv $$unsorted) % 0.41/0.60 (declare-const tptp.esa $$unsorted) % 0.41/0.60 (declare-const tptp.csa $$unsorted) % 0.41/0.60 (declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.60 (declare-const tptp.thm $$unsorted) % 0.41/0.60 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 0.41/0.60 (declare-const tptp.eth $$unsorted) % 0.41/0.60 (declare-const tptp.tac $$unsorted) % 0.41/0.60 (declare-const tptp.tau $$unsorted) % 0.41/0.60 (define @t1 () (@var "C" $$unsorted)) % 0.41/0.60 (define @t2 () (@var "Ax" $$unsorted)) % 0.41/0.60 (define @t3 () (@var "I2" $$unsorted)) % 0.41/0.60 (define @t4 () (tptp.model @t3 @t1)) % 0.41/0.60 (define @t5 () (@list @t3)) % 0.41/0.60 (define @t6 () (exists @t5 @t4)) % 0.41/0.60 (define @t7 () (@var "I1" $$unsorted)) % 0.41/0.60 (define @t8 () (tptp.model @t7 @t2)) % 0.41/0.60 (define @t9 () (@list @t7)) % 0.41/0.60 (define @t10 () (exists @t9 @t8)) % 0.41/0.60 (define @t11 () (not @t10)) % 0.41/0.60 (define @t12 () (@list @t2 @t1)) % 0.41/0.60 (define @t13 () (tptp.model @t7 @t1)) % 0.41/0.60 (define @t14 () (and @t8 @t13)) % 0.41/0.60 (define @t15 () (exists @t9 @t14)) % 0.41/0.60 (define @t16 () (tptp.status @t2 @t1 tptp.thm)) % 0.41/0.60 (define @t17 () (forall @t9 (=> @t8 @t13))) % 0.41/0.60 (define @t18 () (= @t17 @t16)) % 0.41/0.60 (define @t19 () (forall @t12 @t18)) % 0.41/0.60 (define @t20 () (tptp.model @t3 @t2)) % 0.41/0.60 (define @t21 () (forall @t5 @t4)) % 0.41/0.60 (define @t22 () (@var "I3" $$unsorted)) % 0.41/0.60 (define @t23 () (tptp.model @t22 @t2)) % 0.41/0.60 (define @t24 () (not @t23)) % 0.41/0.60 (define @t25 () (tptp.model @t22 @t1)) % 0.41/0.60 (define @t26 () (and @t25 @t24)) % 0.41/0.60 (define @t27 () (@list @t22)) % 0.41/0.60 (define @t28 () (exists @t27 @t26)) % 0.41/0.60 (define @t29 () (forall @t5 (=> @t20 @t4))) % 0.41/0.60 (define @t30 () (not @t20)) % 0.41/0.60 (define @t31 () (exists @t5 @t30)) % 0.41/0.60 (define @t32 () (tptp.status @t2 @t1 tptp.wth)) % 0.41/0.60 (define @t33 () (@var "I4" $$unsorted)) % 0.41/0.60 (define @t34 () (tptp.model @t33 @t1)) % 0.41/0.60 (define @t35 () (not @t34)) % 0.41/0.60 (define @t36 () (@list @t33)) % 0.41/0.60 (define @t37 () (exists @t36 @t35)) % 0.41/0.60 (define @t38 () (and @t10 @t29 @t28 @t37)) % 0.41/0.60 (define @t39 () (= @t38 @t32)) % 0.41/0.60 (define @t40 () (forall @t12 @t39)) % 0.41/0.60 (define @t41 () (not @t25)) % 0.41/0.60 (define @t42 () (tptp.not @t1)) % 0.41/0.60 (define @t43 () (tptp.model @t3 @t42)) % 0.41/0.60 (define @t44 () (@var "S2" $$unsorted)) % 0.41/0.60 (define @t45 () (@var "S1" $$unsorted)) % 0.41/0.60 (define @t46 () (tptp.status @t2 @t1 @t44)) % 0.41/0.60 (define @t47 () (tptp.status @t2 @t1 @t45)) % 0.41/0.60 (define @t48 () (@list @t45 @t44)) % 0.41/0.60 (define @t49 () (tptp.isa @t45 @t44)) % 0.41/0.60 (define @t50 () (forall @t12 (=> @t47 @t46))) % 0.41/0.60 (define @t51 () (= @t50 @t49)) % 0.41/0.60 (define @t52 () (forall @t48 @t51)) % 0.41/0.60 (define @t53 () (not @t46)) % 0.41/0.60 (define @t54 () (@var "F" $$unsorted)) % 0.41/0.60 (define @t55 () (@var "I" $$unsorted)) % 0.41/0.60 (define @t56 () (tptp.model @t55 (tptp.not @t54))) % 0.41/0.60 (define @t57 () (tptp.model @t55 @t54)) % 0.41/0.60 (define @t58 () (@list @t55 @t54)) % 0.41/0.60 (define @t59 () (@list @t55)) % 0.41/0.60 (define @t60 () (@list @t54)) % 0.41/0.60 (define @t61 () (tptp.isa tptp.wth tptp.thm)) % 0.41/0.60 (define @t62 () (not @t8)) % 0.41/0.60 (define @t63 () (not (forall @t9 @t62))) % 0.41/0.60 (define @t64 () (forall @t36 (not @t35))) % 0.41/0.60 (define @t65 () (not @t64)) % 0.41/0.60 (define @t66 () (forall @t27 (not @t26))) % 0.41/0.60 (define @t67 () (not @t66)) % 0.41/0.60 (define @t68 () (forall @t12 (or (not @t32) @t16))) % 0.41/0.60 (define @t69 () (@quantifiers_skolemize @t68 1)) % 0.41/0.60 (define @t70 () (@quantifiers_skolemize @t68 0)) % 0.41/0.60 (define @t71 () (@list @t70 @t69)) % 0.41/0.60 (define @t72 () (= @t61 @t68)) % 0.41/0.60 (define @t73 () (not @t68)) % 0.41/0.60 (define @t74 () (@list true false)) % 0.41/0.60 (define @t75 () (tptp.status @t70 @t69 tptp.wth)) % 0.41/0.60 (define @t76 () (tptp.status @t70 @t69 tptp.thm)) % 0.41/0.60 (define @t77 () (not @t75)) % 0.41/0.60 (define @t78 () (or @t77 @t76)) % 0.41/0.60 (define @t79 () (@list true)) % 0.41/0.60 (define @t80 () (@list @t78)) % 0.41/0.60 (define @t81 () (forall @t5 (or (not (tptp.model @t3 @t70)) (tptp.model @t3 @t69)))) % 0.41/0.60 (define @t82 () (not (tptp.model @t7 @t70))) % 0.41/0.60 (define @t83 () (and (not (forall @t9 @t82)) @t81 (not (forall @t27 (or (not (tptp.model @t22 @t69)) (tptp.model @t22 @t70)))) (not (forall @t36 (tptp.model @t33 @t69))))) % 0.41/0.60 (define @t84 () (= @t75 @t83)) % 0.41/0.60 (define @t85 () (forall @t9 (or @t82 (tptp.model @t7 @t69)))) % 0.41/0.60 (define @t86 () (= @t76 @t85)) % 0.41/0.60 (define @t87 () (not @t85)) % 0.41/0.60 (assume @p1 (forall @t12 (= (=> @t11 (not @t6)) (tptp.status @t2 @t1 tptp.unp)))) % 0.41/0.60 (assume @p2 (forall @t12 (= (=> @t10 @t6) (tptp.status @t2 @t1 tptp.sap)))) % 0.41/0.60 (assume @p3 (forall @t12 (= (= @t10 @t6) (tptp.status @t2 @t1 tptp.esa)))) % 0.41/0.60 (assume @p4 (forall @t12 (= @t15 (tptp.status @t2 @t1 tptp.sat)))) % 0.41/0.60 (assume @p5 @t19) % 0.41/0.60 (assume @p6 (forall @t12 (= (and @t10 (forall @t5 (= @t20 @t4))) (tptp.status @t2 @t1 tptp.eqv)))) % 0.41/0.60 (assume @p7 (forall @t12 (= (and @t10 @t21) (tptp.status @t2 @t1 tptp.tac)))) % 0.41/0.60 (assume @p8 (forall @t12 (= (and @t10 @t29 @t28) (tptp.status @t2 @t1 tptp.wec)))) % 0.41/0.60 (assume @p9 (forall @t12 (= (and @t10 @t31 (forall @t27 (= @t23 @t25))) (tptp.status @t2 @t1 tptp.eth)))) % 0.41/0.60 (assume @p10 (forall @t12 (= (forall @t9 @t14) (tptp.status @t2 @t1 tptp.tau)))) % 0.41/0.60 (assume @p11 (forall @t12 (= (and @t10 @t31 (forall @t27 @t25)) (tptp.status @t2 @t1 tptp.wtc)))) % 0.41/0.60 (assume @p12 @t40) % 0.41/0.60 (assume @p13 (forall @t12 (= @t11 (tptp.status @t2 @t1 tptp.cax)))) % 0.41/0.60 (assume @p14 (forall @t12 (= (and @t11 @t6) (tptp.status @t2 @t1 tptp.sca)))) % 0.41/0.60 (assume @p15 (forall @t12 (= (and @t11 @t21) (tptp.status @t2 @t1 tptp.tca)))) % 0.41/0.60 (assume @p16 (forall @t12 (= (and @t11 @t6 (exists @t27 @t41)) (tptp.status @t2 @t1 tptp.wca)))) % 0.41/0.60 (assume @p17 (forall @t12 (= (exists @t9 (and @t8 (tptp.model @t7 @t42))) (tptp.status @t2 @t1 tptp.csa)))) % 0.41/0.60 (assume @p18 (forall @t12 (= (and (forall @t9 @t8) (forall @t5 @t43)) (tptp.status @t2 @t1 tptp.uns)))) % 0.41/0.60 (assume @p19 (forall @t12 (= (and @t15 (exists @t5 (and @t20 @t43))) (tptp.status @t2 @t1 tptp.noc)))) % 0.41/0.60 (assume @p20 (forall @t48 (= (exists @t12 (and @t47 @t46)) (tptp.mighta @t45 @t44)))) % 0.41/0.60 (assume @p21 @t52) % 0.41/0.60 (assume @p22 (forall @t48 (= (exists @t12 (and @t47 @t53)) (tptp.nota @t45 @t44)))) % 0.41/0.60 (assume @p23 (forall @t48 (= (forall @t12 (=> @t47 @t53)) (tptp.nevera @t45 @t44)))) % 0.41/0.60 (assume @p24 (forall @t48 (= (forall @t12 (xor @t47 @t46)) (tptp.xora @t45 @t44)))) % 0.41/0.60 (assume @p25 (forall @t58 (xor @t57 @t56))) % 0.41/0.60 (assume @p26 (forall @t58 (= @t57 (not @t56)))) % 0.41/0.60 (assume @p27 (exists @t60 (forall @t59 @t57))) % 0.41/0.60 (assume @p28 (exists @t60 (and (exists @t9 (tptp.model @t7 @t54)) (exists @t5 (not (tptp.model @t3 @t54)))))) % 0.41/0.60 (assume @p29 (exists @t60 (forall @t59 (not @t57)))) % 0.41/0.60 (assume @p30 (exists @t12 (and @t15 (exists @t5 (or @t30 (not @t4)))))) % 0.41/0.60 (assume @p31 (exists @t12 (and @t10 @t29 (exists @t27 (and @t24 @t25)) @t37))) % 0.41/0.60 (assume @p32 (exists (@list @t7 @t2 @t1) (and @t8 (not @t13) @t6))) % 0.41/0.60 (assume @p33 (not @t61)) % 0.41/0.60 (assume @p34 true) % 0.41/0.60 (step @p35 :rule eq-symm :args ((and @t63 (forall @t5 (or @t30 @t4)) (not (forall @t27 (or @t41 @t23))) (not (forall @t36 @t34))) @t32)) % 0.41/0.60 (step @p36 :rule refl :args (@t32)) % 0.41/0.60 (step @p37 :rule bool-double-not-elim :args (@t34)) % 0.41/0.60 (step @p38 :rule cong :premises (@p37) :args (@t64)) % 0.41/0.60 (step @p39 :rule cong :premises (@p38) :args (@t65)) % 0.41/0.60 (step @p40 :rule exists-elim :args ((= @t37 @t65))) % 0.41/0.60 (step @p41 :rule trans :premises (@p40 @p39)) % 0.41/0.60 (step @p42 :rule bool-double-not-elim :args (@t23)) % 0.41/0.60 (step @p43 :rule refl :args (@t41)) % 0.41/0.60 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t41 (not @t24)))) % 0.41/0.60 (step @p45 :rule bool-and-de-morgan :args (@t25 @t24 true)) % 0.41/0.60 (step @p46 :rule trans :premises (@p45 @p44)) % 0.41/0.60 (step @p47 :rule cong :premises (@p46) :args (@t66)) % 0.41/0.60 (step @p48 :rule cong :premises (@p47) :args (@t67)) % 0.41/0.60 (step @p49 :rule exists-elim :args ((= @t28 @t67))) % 0.41/0.60 (step @p50 :rule trans :premises (@p49 @p48)) % 0.41/0.60 (step @p51 :rule bool-impl-elim :args (@t20 @t4)) % 0.41/0.60 (step @p52 :rule cong :premises (@p51) :args (@t29)) % 0.41/0.60 (step @p53 :rule exists-elim :args ((= @t10 @t63))) % 0.41/0.60 (step @p54 :rule nary_cong :premises (@p53 @p52 @p50 @p41) :args (@t38)) % 0.41/0.60 (step @p55 :rule cong :premises (@p54 @p36) :args (@t39)) % 0.41/0.60 (step @p56 :rule trans :premises (@p55 @p35)) % 0.41/0.60 (step @p57 :rule cong :premises (@p56) :args (@t40)) % 0.41/0.60 (step @p58 :rule eq_resolve :premises (@p12 @p57)) % 0.41/0.60 (step @p59 :rule instantiate :premises (@p58) :args (@t71)) % 0.41/0.60 (step @p60 :rule eq-symm :args ((forall @t12 (or (not @t47) @t46)) @t49)) % 0.41/0.60 (step @p61 :rule refl :args (@t49)) % 0.41/0.60 (step @p62 :rule bool-impl-elim :args (@t47 @t46)) % 0.41/0.60 (step @p63 :rule cong :premises (@p62) :args (@t50)) % 0.41/0.60 (step @p64 :rule cong :premises (@p63 @p61) :args (@t51)) % 0.41/0.60 (step @p65 :rule trans :premises (@p64 @p60)) % 0.41/0.60 (step @p66 :rule cong :premises (@p65) :args (@t52)) % 0.41/0.60 (step @p67 :rule eq_resolve :premises (@p21 @p66)) % 0.41/0.60 (step @p68 :rule instantiate :premises (@p67) :args ((@list tptp.wth tptp.thm))) % 0.41/0.60 (step @p69 :rule cnf_equiv_pos2 :args (@t72)) % 0.41/0.60 (step @p70 :rule reordering :premises (@p69) :args ((or @t61 @t73 (not @t72)))) % 0.41/0.60 (step @p71 :rule chain_m_resolution :premises (@p70 @p33 @p68) :args (@t73 @t74 (@list @t61 @t72))) % 0.41/0.60 (step @p72 :rule skolemize :premises (@p71)) % 0.41/0.60 (step @p73 :rule bool-double-not-elim :args (@t75)) % 0.41/0.60 (step @p74 :rule refl :args (@t78)) % 0.41/0.60 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t78 (not @t77)))) % 0.41/0.60 (step @p76 :rule cnf_or_neg :args (@t78 0)) % 0.41/0.60 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.41/0.60 (step @p78 :rule reordering :premises (@p77) :args ((or @t75 @t78))) % 0.41/0.60 (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t75 @t79 @t80)) % 0.41/0.60 (step @p80 :rule cnf_equiv_pos1 :args (@t84)) % 0.41/0.60 (step @p81 :rule reordering :premises (@p80) :args ((or @t77 @t83 (not @t84)))) % 0.41/0.60 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p59) :args (@t83 (@list false false) (@list @t75 @t84))) % 0.41/0.60 (step @p83 :rule eq-symm :args ((forall @t9 (or @t62 @t13)) @t16)) % 0.41/0.60 (step @p84 :rule refl :args (@t16)) % 0.41/0.60 (step @p85 :rule bool-impl-elim :args (@t8 @t13)) % 0.41/0.60 (step @p86 :rule cong :premises (@p85) :args (@t17)) % 0.41/0.60 (step @p87 :rule cong :premises (@p86 @p84) :args (@t18)) % 0.41/0.60 (step @p88 :rule trans :premises (@p87 @p83)) % 0.41/0.60 (step @p89 :rule cong :premises (@p88) :args (@t19)) % 0.41/0.60 (step @p90 :rule eq_resolve :premises (@p5 @p89)) % 0.41/0.60 (step @p91 :rule instantiate :premises (@p90) :args (@t71)) % 0.41/0.60 (step @p92 :rule cnf_or_neg :args (@t78 1)) % 0.41/0.60 (step @p93 :rule chain_m_resolution :premises (@p92 @p72) :args ((not @t76) @t79 @t80)) % 0.41/0.60 (step @p94 :rule cnf_equiv_pos2 :args (@t86)) % 0.41/0.60 (step @p95 :rule reordering :premises (@p94) :args ((or @t76 @t87 (not @t86)))) % 0.41/0.60 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p91) :args (@t87 @t74 (@list @t76 @t86))) % 0.41/0.60 (step @p97 :rule alpha_equiv :args (@t85 (@list @t7) (@list @t3))) % 0.41/0.60 (step @p98 :rule equiv_elim2 :premises (@p97)) % 0.41/0.60 (step @p99 :rule chain_m_resolution :premises (@p98 @p96) :args ((not @t81) @t79 (@list @t85))) % 0.41/0.60 (step @p100 :rule cnf_and_pos :args (@t83 1)) % 0.41/0.60 (step @p101 :rule reordering :premises (@p100) :args ((or @t81 (not @t83)))) % 0.41/0.60 (step @p102 false :rule chain_m_resolution :premises (@p101 @p99 @p82) :args (false @t74 (@list @t81 @t83))) % 0.41/0.60 ) % 0.41/0.60 % SZS output end Proof % 0.41/0.60 % cvc5 exiting %------------------------------------------------------------------------------