%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS234+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 : n029.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 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS234+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n029.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 05:34:02 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.xora (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.nevera (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.nota (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.mighta (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.noc $$unsorted) % 0.38/0.60 (declare-const tptp.uns $$unsorted) % 0.38/0.60 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.tca $$unsorted) % 0.38/0.60 (declare-const tptp.sca $$unsorted) % 0.38/0.60 (declare-const tptp.wth $$unsorted) % 0.38/0.60 (declare-const tptp.unp $$unsorted) % 0.38/0.60 (declare-const tptp.wca $$unsorted) % 0.38/0.60 (declare-const tptp.wec $$unsorted) % 0.38/0.60 (declare-const tptp.sap $$unsorted) % 0.38/0.60 (declare-const tptp.wtc $$unsorted) % 0.38/0.60 (declare-const tptp.model (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.sat $$unsorted) % 0.38/0.60 (declare-const tptp.cax $$unsorted) % 0.38/0.60 (declare-const tptp.eqv $$unsorted) % 0.38/0.60 (declare-const tptp.esa $$unsorted) % 0.38/0.60 (declare-const tptp.csa $$unsorted) % 0.38/0.60 (declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.thm $$unsorted) % 0.38/0.60 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.eth $$unsorted) % 0.38/0.60 (declare-const tptp.tac $$unsorted) % 0.38/0.60 (declare-const tptp.tau $$unsorted) % 0.38/0.60 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.60 (define @t2 () (@var "Ax" $$unsorted)) % 0.38/0.60 (define @t3 () (@var "I2" $$unsorted)) % 0.38/0.60 (define @t4 () (tptp.model @t3 @t1)) % 0.38/0.60 (define @t5 () (@list @t3)) % 0.38/0.60 (define @t6 () (exists @t5 @t4)) % 0.38/0.60 (define @t7 () (@var "I1" $$unsorted)) % 0.38/0.60 (define @t8 () (tptp.model @t7 @t2)) % 0.38/0.60 (define @t9 () (@list @t7)) % 0.38/0.60 (define @t10 () (exists @t9 @t8)) % 0.38/0.60 (define @t11 () (not @t10)) % 0.38/0.60 (define @t12 () (@list @t2 @t1)) % 0.38/0.60 (define @t13 () (tptp.model @t7 @t1)) % 0.38/0.60 (define @t14 () (and @t8 @t13)) % 0.38/0.60 (define @t15 () (exists @t9 @t14)) % 0.38/0.60 (define @t16 () (tptp.status @t2 @t1 tptp.thm)) % 0.38/0.60 (define @t17 () (forall @t9 (=> @t8 @t13))) % 0.38/0.60 (define @t18 () (= @t17 @t16)) % 0.38/0.60 (define @t19 () (forall @t12 @t18)) % 0.38/0.60 (define @t20 () (tptp.model @t3 @t2)) % 0.38/0.60 (define @t21 () (forall @t5 @t4)) % 0.38/0.60 (define @t22 () (@var "I3" $$unsorted)) % 0.38/0.60 (define @t23 () (tptp.model @t22 @t2)) % 0.38/0.60 (define @t24 () (not @t23)) % 0.38/0.60 (define @t25 () (tptp.model @t22 @t1)) % 0.38/0.60 (define @t26 () (@list @t22)) % 0.38/0.60 (define @t27 () (exists @t26 (and @t25 @t24))) % 0.38/0.60 (define @t28 () (forall @t5 (=> @t20 @t4))) % 0.38/0.60 (define @t29 () (not @t20)) % 0.38/0.60 (define @t30 () (exists @t5 @t29)) % 0.38/0.60 (define @t31 () (@var "I4" $$unsorted)) % 0.38/0.60 (define @t32 () (exists (@list @t31) (not (tptp.model @t31 @t1)))) % 0.38/0.60 (define @t33 () (tptp.not @t1)) % 0.38/0.60 (define @t34 () (tptp.status @t2 @t1 tptp.uns)) % 0.38/0.60 (define @t35 () (tptp.model @t3 @t33)) % 0.38/0.60 (define @t36 () (forall @t12 (= (and (forall @t9 @t8) (forall @t5 @t35)) @t34))) % 0.38/0.60 (define @t37 () (@var "S2" $$unsorted)) % 0.38/0.60 (define @t38 () (@var "S1" $$unsorted)) % 0.38/0.60 (define @t39 () (tptp.status @t2 @t1 @t37)) % 0.38/0.60 (define @t40 () (tptp.status @t2 @t1 @t38)) % 0.38/0.60 (define @t41 () (@list @t38 @t37)) % 0.38/0.60 (define @t42 () (not @t39)) % 0.38/0.60 (define @t43 () (tptp.nevera @t38 @t37)) % 0.38/0.60 (define @t44 () (forall @t12 (=> @t40 @t42))) % 0.38/0.60 (define @t45 () (= @t44 @t43)) % 0.38/0.60 (define @t46 () (forall @t41 @t45)) % 0.38/0.60 (define @t47 () (@var "F" $$unsorted)) % 0.38/0.60 (define @t48 () (@var "I" $$unsorted)) % 0.38/0.60 (define @t49 () (tptp.model @t48 (tptp.not @t47))) % 0.38/0.60 (define @t50 () (tptp.model @t48 @t47)) % 0.38/0.60 (define @t51 () (@list @t48 @t47)) % 0.38/0.60 (define @t52 () (forall @t51 (xor @t50 @t49))) % 0.38/0.60 (define @t53 () (@list @t48)) % 0.38/0.60 (define @t54 () (@list @t47)) % 0.38/0.60 (define @t55 () (not @t50)) % 0.38/0.60 (define @t56 () (tptp.nevera tptp.uns tptp.thm)) % 0.38/0.60 (define @t57 () (forall @t12 (or (not @t34) (not @t16)))) % 0.38/0.60 (define @t58 () (@quantifiers_skolemize @t57 1)) % 0.38/0.60 (define @t59 () (tptp.not @t58)) % 0.38/0.60 (define @t60 () (forall @t5 (tptp.model @t3 @t59))) % 0.38/0.60 (define @t61 () (@quantifiers_skolemize @t57 0)) % 0.38/0.60 (define @t62 () (tptp.model @t7 @t61)) % 0.38/0.60 (define @t63 () (forall @t9 @t62)) % 0.38/0.60 (define @t64 () (and @t63 @t60)) % 0.38/0.60 (define @t65 () (tptp.status @t61 @t58 tptp.uns)) % 0.38/0.60 (define @t66 () (= @t64 @t65)) % 0.38/0.60 (define @t67 () (@list @t61 @t58)) % 0.38/0.60 (define @t68 () (= @t65 @t64)) % 0.38/0.60 (define @t69 () (@list false)) % 0.38/0.60 (define @t70 () (= @t56 @t57)) % 0.38/0.60 (define @t71 () (not @t57)) % 0.38/0.60 (define @t72 () (@list true false)) % 0.38/0.60 (define @t73 () (tptp.status @t61 @t58 tptp.thm)) % 0.38/0.60 (define @t74 () (not @t73)) % 0.38/0.60 (define @t75 () (not @t65)) % 0.38/0.60 (define @t76 () (or @t75 @t74)) % 0.38/0.60 (define @t77 () (@list true)) % 0.38/0.60 (define @t78 () (@list @t76)) % 0.38/0.60 (define @t79 () (@list false false)) % 0.38/0.60 (define @t80 () (not @t64)) % 0.38/0.60 (define @t81 () (@list @t64)) % 0.38/0.60 (define @t82 () (@var "BOUND_VARIABLE_7854" $$unsorted)) % 0.38/0.60 (define @t83 () (@var "BOUND_VARIABLE_7850" $$unsorted)) % 0.38/0.60 (define @t84 () (@quantifiers_skolemize (forall (@list @t47 @t83 @t82) (or (not (tptp.model @t83 @t47)) (tptp.model @t82 @t47))) 1)) % 0.38/0.60 (define @t85 () (@list @t84)) % 0.38/0.60 (define @t86 () (forall @t9 (or (not @t62) (tptp.model @t7 @t58)))) % 0.38/0.60 (define @t87 () (= @t73 @t86)) % 0.38/0.60 (define @t88 () (tptp.model @t84 @t58)) % 0.38/0.60 (define @t89 () (tptp.model @t84 @t61)) % 0.38/0.60 (define @t90 () (not @t89)) % 0.38/0.60 (define @t91 () (or @t90 @t88)) % 0.38/0.60 (define @t92 () (not @t88)) % 0.38/0.60 (define @t93 () (tptp.model @t84 @t59)) % 0.38/0.60 (define @t94 () (= @t93 @t92)) % 0.38/0.60 (define @t95 () (not @t94)) % 0.38/0.60 (define @t96 () (forall @t51 (= @t49 @t55))) % 0.38/0.60 (assume @p1 (forall @t12 (= (=> @t11 (not @t6)) (tptp.status @t2 @t1 tptp.unp)))) % 0.38/0.60 (assume @p2 (forall @t12 (= (=> @t10 @t6) (tptp.status @t2 @t1 tptp.sap)))) % 0.38/0.60 (assume @p3 (forall @t12 (= (= @t10 @t6) (tptp.status @t2 @t1 tptp.esa)))) % 0.38/0.60 (assume @p4 (forall @t12 (= @t15 (tptp.status @t2 @t1 tptp.sat)))) % 0.38/0.60 (assume @p5 @t19) % 0.38/0.60 (assume @p6 (forall @t12 (= (and @t10 (forall @t5 (= @t20 @t4))) (tptp.status @t2 @t1 tptp.eqv)))) % 0.38/0.60 (assume @p7 (forall @t12 (= (and @t10 @t21) (tptp.status @t2 @t1 tptp.tac)))) % 0.38/0.60 (assume @p8 (forall @t12 (= (and @t10 @t28 @t27) (tptp.status @t2 @t1 tptp.wec)))) % 0.38/0.60 (assume @p9 (forall @t12 (= (and @t10 @t30 (forall @t26 (= @t23 @t25))) (tptp.status @t2 @t1 tptp.eth)))) % 0.38/0.60 (assume @p10 (forall @t12 (= (forall @t9 @t14) (tptp.status @t2 @t1 tptp.tau)))) % 0.38/0.60 (assume @p11 (forall @t12 (= (and @t10 @t30 (forall @t26 @t25)) (tptp.status @t2 @t1 tptp.wtc)))) % 0.38/0.60 (assume @p12 (forall @t12 (= (and @t10 @t28 @t27 @t32) (tptp.status @t2 @t1 tptp.wth)))) % 0.38/0.60 (assume @p13 (forall @t12 (= @t11 (tptp.status @t2 @t1 tptp.cax)))) % 0.38/0.60 (assume @p14 (forall @t12 (= (and @t11 @t6) (tptp.status @t2 @t1 tptp.sca)))) % 0.38/0.60 (assume @p15 (forall @t12 (= (and @t11 @t21) (tptp.status @t2 @t1 tptp.tca)))) % 0.38/0.60 (assume @p16 (forall @t12 (= (and @t11 @t6 (exists @t26 (not @t25))) (tptp.status @t2 @t1 tptp.wca)))) % 0.38/0.60 (assume @p17 (forall @t12 (= (exists @t9 (and @t8 (tptp.model @t7 @t33))) (tptp.status @t2 @t1 tptp.csa)))) % 0.38/0.60 (assume @p18 @t36) % 0.38/0.60 (assume @p19 (forall @t12 (= (and @t15 (exists @t5 (and @t20 @t35))) (tptp.status @t2 @t1 tptp.noc)))) % 0.38/0.60 (assume @p20 (forall @t41 (= (exists @t12 (and @t40 @t39)) (tptp.mighta @t38 @t37)))) % 0.38/0.60 (assume @p21 (forall @t41 (= (forall @t12 (=> @t40 @t39)) (tptp.isa @t38 @t37)))) % 0.38/0.60 (assume @p22 (forall @t41 (= (exists @t12 (and @t40 @t42)) (tptp.nota @t38 @t37)))) % 0.38/0.60 (assume @p23 @t46) % 0.38/0.60 (assume @p24 (forall @t41 (= (forall @t12 (xor @t40 @t39)) (tptp.xora @t38 @t37)))) % 0.38/0.60 (assume @p25 @t52) % 0.38/0.60 (assume @p26 (forall @t51 (= @t50 (not @t49)))) % 0.38/0.60 (assume @p27 (exists @t54 (forall @t53 @t50))) % 0.38/0.60 (assume @p28 (exists @t54 (and (exists @t9 (tptp.model @t7 @t47)) (exists @t5 (not (tptp.model @t3 @t47)))))) % 0.38/0.60 (assume @p29 (exists @t54 (forall @t53 @t55))) % 0.38/0.60 (assume @p30 (exists @t12 (and @t15 (exists @t5 (or @t29 (not @t4)))))) % 0.38/0.60 (assume @p31 (exists @t12 (and @t10 @t28 (exists @t26 (and @t24 @t25)) @t32))) % 0.38/0.60 (assume @p32 (exists (@list @t7 @t2 @t1) (and @t8 (not @t13) @t6))) % 0.38/0.60 (assume @p33 (not @t56)) % 0.38/0.60 (assume @p34 true) % 0.38/0.60 (step @p35 :rule eq-symm :args (@t55 @t49)) % 0.38/0.60 (step @p36 :rule cong :premises (@p35) :args ((forall @t51 (= @t55 @t49)))) % 0.38/0.60 (step @p37 :rule bool-xor-elim :args (@t50 @t49)) % 0.38/0.60 (step @p38 :rule cong :premises (@p37) :args (@t52)) % 0.38/0.60 (step @p39 :rule trans :premises (@p38 @p36)) % 0.38/0.60 (step @p40 :rule eq_resolve :premises (@p25 @p39)) % 0.38/0.60 (step @p41 :rule eq-symm :args (@t64 @t65)) % 0.38/0.60 (step @p42 :rule refl :args (@t36)) % 0.38/0.60 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t36 @t66))) % 0.38/0.60 (assume-push @p113 @t36) % 0.38/0.60 (step @p45 :rule instantiate :premises (@p18) :args (@t67)) % 0.38/0.60 (step-pop @p114 :rule scope :premises (@p45)) % 0.38/0.60 (step @p46 :rule process_scope :premises (@p114) :args (@t66)) % 0.38/0.60 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 0.38/0.60 (step @p49 :rule implies_elim :premises (@p48)) % 0.38/0.60 (step @p50 :rule chain_m_resolution :premises (@p49 @p18) :args (@t68 @t69 (@list @t36))) % 0.38/0.60 (step @p51 :rule eq-symm :args ((forall @t12 (or (not @t40) @t42)) @t43)) % 0.38/0.60 (step @p52 :rule refl :args (@t43)) % 0.38/0.60 (step @p53 :rule bool-impl-elim :args (@t40 @t42)) % 0.38/0.60 (step @p54 :rule cong :premises (@p53) :args (@t44)) % 0.38/0.60 (step @p55 :rule cong :premises (@p54 @p52) :args (@t45)) % 0.38/0.60 (step @p56 :rule trans :premises (@p55 @p51)) % 0.38/0.60 (step @p57 :rule cong :premises (@p56) :args (@t46)) % 0.38/0.60 (step @p58 :rule eq_resolve :premises (@p23 @p57)) % 0.38/0.60 (step @p59 :rule instantiate :premises (@p58) :args ((@list tptp.uns tptp.thm))) % 0.38/0.60 (step @p60 :rule cnf_equiv_pos2 :args (@t70)) % 0.38/0.60 (step @p61 :rule reordering :premises (@p60) :args ((or @t56 @t71 (not @t70)))) % 0.38/0.60 (step @p62 :rule chain_m_resolution :premises (@p61 @p33 @p59) :args (@t71 @t72 (@list @t56 @t70))) % 0.38/0.60 (step @p63 :rule skolemize :premises (@p62)) % 0.38/0.60 (step @p64 :rule bool-double-not-elim :args (@t65)) % 0.38/0.60 (step @p65 :rule refl :args (@t76)) % 0.38/0.60 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t76 (not @t75)))) % 0.38/0.60 (step @p67 :rule cnf_or_neg :args (@t76 0)) % 0.38/0.60 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.38/0.60 (step @p69 :rule reordering :premises (@p68) :args ((or @t65 @t76))) % 0.38/0.60 (step @p70 :rule chain_m_resolution :premises (@p69 @p63) :args (@t65 @t77 @t78)) % 0.38/0.60 (step @p71 :rule cnf_equiv_pos1 :args (@t68)) % 0.38/0.60 (step @p72 :rule reordering :premises (@p71) :args ((or @t75 @t64 (not @t68)))) % 0.38/0.60 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p50) :args (@t64 @t79 (@list @t65 @t68))) % 0.38/0.60 (step @p74 :rule cnf_and_pos :args (@t64 1)) % 0.38/0.60 (step @p75 :rule reordering :premises (@p74) :args ((or @t60 @t80))) % 0.38/0.60 (step @p76 :rule chain_m_resolution :premises (@p75 @p73) :args (@t60 @t69 @t81)) % 0.38/0.60 (step @p77 :rule instantiate :premises (@p76) :args (@t85)) % 0.38/0.60 (step @p78 :rule eq-symm :args ((forall @t9 (or (not @t8) @t13)) @t16)) % 0.38/0.60 (step @p79 :rule refl :args (@t16)) % 0.38/0.60 (step @p80 :rule bool-impl-elim :args (@t8 @t13)) % 0.38/0.60 (step @p81 :rule cong :premises (@p80) :args (@t17)) % 0.38/0.60 (step @p82 :rule cong :premises (@p81 @p79) :args (@t18)) % 0.38/0.60 (step @p83 :rule trans :premises (@p82 @p78)) % 0.38/0.60 (step @p84 :rule cong :premises (@p83) :args (@t19)) % 0.38/0.60 (step @p85 :rule eq_resolve :premises (@p5 @p84)) % 0.38/0.60 (step @p86 :rule instantiate :premises (@p85) :args (@t67)) % 0.38/0.60 (step @p87 :rule bool-double-not-elim :args (@t73)) % 0.38/0.60 (step @p88 :rule nary_cong :premises (@p65 @p87) :args ((or @t76 (not @t74)))) % 0.38/0.60 (step @p89 :rule cnf_or_neg :args (@t76 1)) % 0.38/0.60 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.38/0.60 (step @p91 :rule reordering :premises (@p90) :args ((or @t73 @t76))) % 0.38/0.60 (step @p92 :rule chain_m_resolution :premises (@p91 @p63) :args (@t73 @t77 @t78)) % 0.38/0.60 (step @p93 :rule cnf_equiv_pos1 :args (@t87)) % 0.38/0.60 (step @p94 :rule reordering :premises (@p93) :args ((or @t74 @t86 (not @t87)))) % 0.38/0.60 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p86) :args (@t86 @t79 (@list @t73 @t87))) % 0.38/0.60 (step @p96 :rule instantiate :premises (@p95) :args (@t85)) % 0.38/0.60 (step @p97 :rule cnf_and_pos :args (@t64 0)) % 0.38/0.60 (step @p98 :rule reordering :premises (@p97) :args ((or @t63 @t80))) % 0.38/0.60 (step @p99 :rule chain_m_resolution :premises (@p98 @p73) :args (@t63 @t69 @t81)) % 0.38/0.60 (step @p100 :rule instantiate :premises (@p99) :args (@t85)) % 0.38/0.60 (step @p101 :rule cnf_or_pos :args (@t91)) % 0.38/0.60 (step @p102 :rule reordering :premises (@p101) :args ((or @t90 @t88 (not @t91)))) % 0.38/0.60 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p96) :args (@t88 @t79 (@list @t89 @t91))) % 0.38/0.60 (step @p104 :rule cnf_equiv_pos1 :args (@t94)) % 0.38/0.60 (step @p105 :rule reordering :premises (@p104) :args ((or @t92 (not @t93) @t95))) % 0.38/0.60 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p77) :args (@t95 @t79 (@list @t88 @t93))) % 0.38/0.60 (assume-push @p115 @t96) % 0.38/0.60 (step @p108 :rule instantiate :premises (@p40) :args ((@list @t84 @t58))) % 0.38/0.60 (step-pop @p116 :rule scope :premises (@p108)) % 0.38/0.60 (step @p109 :rule process_scope :premises (@p116) :args (@t94)) % 0.38/0.60 (step @p111 :rule implies_elim :premises (@p109)) % 0.38/0.60 (step @p112 false :rule chain_m_resolution :premises (@p111 @p106 @p40) :args (false @t72 (@list @t94 @t96))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------