%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN326+1 : TPTP v9.2.1. Released v2.0.0. % 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 09:08:33 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN326+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.14 % 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 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:23:14 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.big_g (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.big_h (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (define @t1 () (@var "Z" $$unsorted)) % 0.37/0.58 (define @t2 () (tptp.big_f @t1 @t1)) % 0.37/0.58 (define @t3 () (@var "Y" $$unsorted)) % 0.37/0.58 (define @t4 () (@var "X" $$unsorted)) % 0.37/0.58 (define @t5 () (tptp.big_f @t4 @t3)) % 0.37/0.58 (define @t6 () (=> @t5 @t2)) % 0.37/0.58 (define @t7 () (tptp.big_h @t1)) % 0.37/0.58 (define @t8 () (tptp.big_g @t4)) % 0.37/0.58 (define @t9 () (tptp.big_f @t1 @t4)) % 0.37/0.58 (define @t10 () (=> @t9 @t8)) % 0.37/0.58 (define @t11 () (=> @t10 @t7)) % 0.37/0.58 (define @t12 () (=> @t11 @t6)) % 0.37/0.58 (define @t13 () (tptp.big_f @t4 @t4)) % 0.37/0.58 (define @t14 () (tptp.big_h @t4)) % 0.37/0.58 (define @t15 () (tptp.big_g @t3)) % 0.37/0.58 (define @t16 () (=> @t15 @t14)) % 0.37/0.58 (define @t17 () (tptp.big_f @t3 @t1)) % 0.37/0.58 (define @t18 () (=> @t17 @t16)) % 0.37/0.58 (define @t19 () (=> @t18 @t13)) % 0.37/0.58 (define @t20 () (@list @t3 @t1)) % 0.37/0.58 (define @t21 () (forall @t20 (=> @t19 @t12))) % 0.37/0.58 (define @t22 () (@list @t4)) % 0.37/0.58 (define @t23 () (exists @t22 @t21)) % 0.37/0.58 (define @t24 () (not @t23)) % 0.37/0.58 (define @t25 () (not @t5)) % 0.37/0.58 (define @t26 () (not @t7)) % 0.37/0.58 (define @t27 () (and (or (not @t9) @t8) @t26)) % 0.37/0.58 (define @t28 () (not @t13)) % 0.37/0.58 (define @t29 () (not @t15)) % 0.37/0.58 (define @t30 () (not @t17)) % 0.37/0.58 (define @t31 () (or @t30 @t29 @t14)) % 0.37/0.58 (define @t32 () (and @t31 @t28)) % 0.37/0.58 (define @t33 () (or @t32 @t27 @t25 @t2)) % 0.37/0.58 (define @t34 () (forall @t20 @t33)) % 0.37/0.58 (define @t35 () (forall @t22 (not @t34))) % 0.37/0.58 (define @t36 () (or @t27 @t25 @t2)) % 0.37/0.58 (define @t37 () (@const 0 $$unsorted)) % 0.37/0.58 (define @t38 () (tptp.big_g @t37)) % 0.37/0.58 (define @t39 () (not (tptp.big_f @t37 @t37))) % 0.37/0.58 (define @t40 () (tptp.big_h @t37)) % 0.37/0.58 (define @t41 () (forall @t20 (or (and (or @t30 @t29 @t40) @t39) (and (or (not (tptp.big_f @t1 @t37)) @t38) @t26) (not (tptp.big_f @t37 @t3)) @t2))) % 0.37/0.58 (define @t42 () (@quantifiers_skolemize @t41 1)) % 0.37/0.58 (define @t43 () (tptp.big_g @t42)) % 0.37/0.58 (define @t44 () (tptp.big_f @t42 @t42)) % 0.37/0.58 (define @t45 () (not @t44)) % 0.37/0.58 (define @t46 () (tptp.big_h @t42)) % 0.37/0.58 (define @t47 () (forall @t20 (or (and (or @t30 @t29 @t46) @t45) (and (or (not (tptp.big_f @t1 @t42)) @t43) @t26) (not (tptp.big_f @t42 @t3)) @t2))) % 0.37/0.58 (define @t48 () (@quantifiers_skolemize @t47 0)) % 0.37/0.58 (define @t49 () (tptp.big_g @t48)) % 0.37/0.58 (define @t50 () (not (tptp.big_f @t48 @t48))) % 0.37/0.58 (define @t51 () (tptp.big_h @t48)) % 0.37/0.58 (define @t52 () (forall @t20 (or (and (or @t30 @t29 @t51) @t50) (and (or (not (tptp.big_f @t1 @t48)) @t49) @t26) (not (tptp.big_f @t48 @t3)) @t2))) % 0.37/0.58 (define @t53 () (@quantifiers_skolemize @t52 1)) % 0.37/0.58 (define @t54 () (@quantifiers_skolemize @t47 1)) % 0.37/0.58 (define @t55 () (not @t49)) % 0.37/0.58 (define @t56 () (or (not (tptp.big_f @t48 @t54)) @t55 @t46)) % 0.37/0.58 (define @t57 () (and @t56 @t45)) % 0.37/0.58 (define @t58 () (or @t57 (and (or (not (tptp.big_f @t54 @t42)) @t43) (not (tptp.big_h @t54))) (not (tptp.big_f @t42 @t48)) (tptp.big_f @t54 @t54))) % 0.37/0.58 (define @t59 () (@list true)) % 0.37/0.58 (define @t60 () (@quantifiers_skolemize @t41 0)) % 0.37/0.58 (define @t61 () (or (and (or (not (tptp.big_f @t60 @t42)) (not (tptp.big_g @t60)) @t40) @t39) (and (or (not (tptp.big_f @t42 @t37)) @t38) (not @t46)) (not (tptp.big_f @t37 @t60)) @t44)) % 0.37/0.58 (define @t62 () (not @t56)) % 0.37/0.58 (define @t63 () (or (not (tptp.big_f @t53 @t48)) @t49)) % 0.37/0.58 (define @t64 () (@list false)) % 0.37/0.58 (define @t65 () (tptp.big_f @t53 @t53)) % 0.37/0.58 (define @t66 () (@quantifiers_skolemize @t52 0)) % 0.37/0.58 (define @t67 () (tptp.big_h @t53)) % 0.37/0.58 (define @t68 () (not @t67)) % 0.37/0.58 (define @t69 () (and @t63 @t68)) % 0.37/0.58 (define @t70 () (or (and (or (not (tptp.big_f @t66 @t53)) (not (tptp.big_g @t66)) @t51) @t50) @t69 (not (tptp.big_f @t48 @t66)) @t65)) % 0.37/0.58 (define @t71 () (@list @t70)) % 0.37/0.58 (define @t72 () (not @t63)) % 0.37/0.58 (define @t73 () (@list true false)) % 0.37/0.58 (define @t74 () (tptp.big_g @t53)) % 0.37/0.58 (define @t75 () (not @t65)) % 0.37/0.58 (define @t76 () (forall @t20 (or (and (or @t30 @t29 @t67) @t75) (and (or (not (tptp.big_f @t1 @t53)) @t74) @t26) (not (tptp.big_f @t53 @t3)) @t2))) % 0.37/0.58 (define @t77 () (@quantifiers_skolemize @t76 0)) % 0.37/0.58 (define @t78 () (@quantifiers_skolemize @t76 1)) % 0.37/0.58 (define @t79 () (or (not (tptp.big_f @t77 @t78)) (not (tptp.big_g @t77)) @t67)) % 0.37/0.58 (define @t80 () (not @t79)) % 0.37/0.58 (define @t81 () (and @t79 @t75)) % 0.37/0.58 (define @t82 () (or @t81 (and (or (not (tptp.big_f @t78 @t53)) @t74) (not (tptp.big_h @t78))) (not (tptp.big_f @t53 @t77)) (tptp.big_f @t78 @t78))) % 0.37/0.58 (assume @p1 @t24) % 0.37/0.58 (assume @p2 true) % 0.37/0.58 (step @p3 :rule bool-double-not-elim :args (@t35)) % 0.37/0.58 (step @p4 :rule exists-elim :args ((= (exists @t22 @t34) (not @t35)))) % 0.37/0.58 (step @p5 :rule aci_norm :args ((= (or @t32 @t36) @t33))) % 0.37/0.58 (step @p6 :rule aci_norm :args ((= (or @t27 (or @t25 @t2)) @t36))) % 0.37/0.58 (step @p7 :rule bool-impl-elim :args (@t5 @t2)) % 0.37/0.58 (step @p8 :rule refl :args (@t26)) % 0.37/0.58 (step @p9 :rule bool-impl-elim :args (@t9 @t8)) % 0.37/0.58 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((and @t10 @t26))) % 0.37/0.58 (step @p11 :rule bool-implies-de-morgan :args (@t10 @t7)) % 0.37/0.58 (step @p12 :rule trans :premises (@p11 @p10)) % 0.37/0.58 (step @p13 :rule nary_cong :premises (@p12 @p7) :args ((or (not @t11) @t6))) % 0.37/0.58 (step @p14 :rule trans :premises (@p13 @p6)) % 0.37/0.58 (step @p15 :rule bool-impl-elim :args (@t11 @t6)) % 0.37/0.58 (step @p16 :rule trans :premises (@p15 @p14)) % 0.37/0.58 (step @p17 :rule refl :args (@t28)) % 0.37/0.58 (step @p18 :rule aci_norm :args ((= (or @t30 (or @t29 @t14)) @t31))) % 0.37/0.58 (step @p19 :rule bool-impl-elim :args (@t15 @t14)) % 0.37/0.58 (step @p20 :rule refl :args (@t30)) % 0.37/0.58 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or @t30 @t16))) % 0.37/0.58 (step @p22 :rule trans :premises (@p21 @p18)) % 0.37/0.58 (step @p23 :rule bool-impl-elim :args (@t17 @t16)) % 0.37/0.58 (step @p24 :rule trans :premises (@p23 @p22)) % 0.37/0.58 (step @p25 :rule nary_cong :premises (@p24 @p17) :args ((and @t18 @t28))) % 0.37/0.58 (step @p26 :rule bool-implies-de-morgan :args (@t18 @t13)) % 0.37/0.58 (step @p27 :rule trans :premises (@p26 @p25)) % 0.37/0.58 (step @p28 :rule nary_cong :premises (@p27 @p16) :args ((or (not @t19) @t12))) % 0.37/0.58 (step @p29 :rule trans :premises (@p28 @p5)) % 0.37/0.58 (step @p30 :rule bool-impl-elim :args (@t19 @t12)) % 0.37/0.58 (step @p31 :rule trans :premises (@p30 @p29)) % 0.37/0.58 (step @p32 :rule cong :premises (@p31) :args (@t21)) % 0.37/0.58 (step @p33 :rule cong :premises (@p32) :args (@t23)) % 0.37/0.58 (step @p34 :rule trans :premises (@p33 @p4)) % 0.37/0.58 (step @p35 :rule cong :premises (@p34) :args (@t24)) % 0.37/0.58 (step @p36 :rule trans :premises (@p35 @p3)) % 0.37/0.58 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 0.37/0.58 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t53))) % 0.37/0.58 (step @p39 :rule skolemize :premises (@p38)) % 0.37/0.58 (step @p40 :rule instantiate :premises (@p37) :args ((@list @t42))) % 0.37/0.58 (step @p41 :rule skolemize :premises (@p40)) % 0.37/0.58 (step @p42 :rule cnf_or_neg :args (@t58 0)) % 0.37/0.58 (step @p43 :rule chain_m_resolution :premises (@p42 @p41) :args ((not @t57) @t59 (@list @t58))) % 0.37/0.58 (step @p44 :rule instantiate :premises (@p37) :args ((@list @t37))) % 0.37/0.58 (step @p45 :rule skolemize :premises (@p44)) % 0.37/0.58 (step @p46 :rule cnf_or_neg :args (@t61 3)) % 0.37/0.58 (step @p47 :rule chain_m_resolution :premises (@p46 @p45) :args (@t45 @t59 (@list @t61))) % 0.37/0.58 (step @p48 :rule bool-double-not-elim :args (@t44)) % 0.37/0.58 (step @p49 :rule refl :args (@t62)) % 0.37/0.58 (step @p50 :rule refl :args (@t57)) % 0.37/0.58 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args ((or @t57 @t62 (not @t45)))) % 0.37/0.58 (step @p52 :rule cnf_and_neg :args (@t57)) % 0.37/0.58 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.37/0.58 (step @p54 :rule reordering :premises (@p53) :args ((or @t44 @t57 @t62))) % 0.37/0.58 (step @p55 :rule chain_m_resolution :premises (@p54 @p47 @p43) :args (@t62 (@list true true) (@list @t44 @t57))) % 0.37/0.58 (step @p56 :rule bool-double-not-elim :args (@t49)) % 0.37/0.58 (step @p57 :rule refl :args (@t56)) % 0.37/0.58 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t56 (not @t55)))) % 0.37/0.58 (step @p59 :rule cnf_or_neg :args (@t56 1)) % 0.37/0.58 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.37/0.58 (step @p61 :rule reordering :premises (@p60) :args ((or @t49 @t56))) % 0.37/0.58 (step @p62 :rule chain_m_resolution :premises (@p61 @p55) :args (@t49 @t59 (@list @t56))) % 0.37/0.58 (step @p63 :rule cnf_or_neg :args (@t63 1)) % 0.37/0.58 (step @p64 :rule reordering :premises (@p63) :args ((or @t55 @t63))) % 0.37/0.58 (step @p65 :rule chain_m_resolution :premises (@p64 @p62) :args (@t63 @t64 (@list @t49))) % 0.37/0.58 (step @p66 :rule instantiate :premises (@p37) :args ((@list @t48))) % 0.37/0.58 (step @p67 :rule skolemize :premises (@p66)) % 0.37/0.58 (step @p68 :rule cnf_or_neg :args (@t70 1)) % 0.37/0.58 (step @p69 :rule chain_m_resolution :premises (@p68 @p67) :args ((not @t69) @t59 @t71)) % 0.37/0.58 (step @p70 :rule bool-double-not-elim :args (@t67)) % 0.37/0.59 (step @p71 :rule refl :args (@t72)) % 0.37/0.59 (step @p72 :rule refl :args (@t69)) % 0.37/0.59 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70) :args ((or @t69 @t72 (not @t68)))) % 0.37/0.59 (step @p74 :rule cnf_and_neg :args (@t69)) % 0.37/0.59 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.37/0.59 (step @p76 :rule reordering :premises (@p75) :args ((or @t67 @t69 @t72))) % 0.37/0.59 (step @p77 :rule chain_m_resolution :premises (@p76 @p69 @p65) :args (@t67 @t73 (@list @t69 @t63))) % 0.37/0.59 (step @p78 :rule cnf_or_neg :args (@t79 2)) % 0.37/0.59 (step @p79 :rule reordering :premises (@p78) :args ((or @t68 @t79))) % 0.37/0.59 (step @p80 :rule chain_m_resolution :premises (@p79 @p77) :args (@t79 @t64 (@list @t67))) % 0.37/0.59 (step @p81 :rule cnf_or_neg :args (@t70 3)) % 0.37/0.59 (step @p82 :rule chain_m_resolution :premises (@p81 @p67) :args (@t75 @t59 @t71)) % 0.37/0.59 (step @p83 :rule bool-double-not-elim :args (@t65)) % 0.37/0.59 (step @p84 :rule refl :args (@t80)) % 0.37/0.59 (step @p85 :rule refl :args (@t81)) % 0.37/0.59 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83) :args ((or @t81 @t80 (not @t75)))) % 0.37/0.59 (step @p87 :rule cnf_and_neg :args (@t81)) % 0.37/0.59 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.37/0.59 (step @p89 :rule reordering :premises (@p88) :args ((or @t65 @t81 @t80))) % 0.37/0.59 (step @p90 :rule chain_m_resolution :premises (@p89 @p82 @p80) :args (@t81 @t73 (@list @t65 @t79))) % 0.37/0.59 (step @p91 :rule cnf_or_neg :args (@t82 0)) % 0.37/0.59 (step @p92 false :rule chain_m_resolution :premises (@p91 @p90 @p39) :args (false (@list false true) (@list @t81 @t82))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------