%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN729+1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 09:09:44 AM UTC 2026 % Result : Theorem 0.34s 0.57s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN729+1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n022.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 23:34:09 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.57 % SZS status Theorem % 0.34/0.57 % SZS output start Proof % 0.34/0.57 ( % 0.34/0.57 (declare-sort $$unsorted 0) % 0.34/0.57 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.34/0.57 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.34/0.57 (declare-const tptp.l (-> $$unsorted $$unsorted Bool)) % 0.34/0.57 (declare-const tptp.p (-> $$unsorted Bool)) % 0.34/0.57 (define @t1 () (@var "Y" $$unsorted)) % 0.34/0.57 (define @t2 () (tptp.p @t1)) % 0.34/0.57 (define @t3 () (@var "X" $$unsorted)) % 0.34/0.57 (define @t4 () (tptp.l @t3 @t1)) % 0.34/0.57 (define @t5 () (and @t4 @t2)) % 0.34/0.57 (define @t6 () (@list @t1)) % 0.34/0.57 (define @t7 () (exists @t6 @t5)) % 0.34/0.57 (define @t8 () (tptp.p @t3)) % 0.34/0.57 (define @t9 () (=> @t8 @t7)) % 0.34/0.57 (define @t10 () (@list @t3)) % 0.34/0.57 (define @t11 () (forall @t10 @t9)) % 0.34/0.57 (define @t12 () (@var "W" $$unsorted)) % 0.34/0.57 (define @t13 () (and (tptp.p (tptp.g @t12)) (tptp.p (tptp.h @t12)))) % 0.34/0.57 (define @t14 () (tptp.p @t12)) % 0.34/0.57 (define @t15 () (forall (@list @t12) (=> @t14 @t13))) % 0.34/0.57 (define @t16 () (tptp.l @t3 (tptp.g (tptp.h @t1)))) % 0.34/0.57 (define @t17 () (and @t16 @t2)) % 0.34/0.57 (define @t18 () (=> @t8 @t17)) % 0.34/0.57 (define @t19 () (exists @t6 @t18)) % 0.34/0.57 (define @t20 () (forall @t10 @t19)) % 0.34/0.57 (define @t21 () (and @t20 @t15)) % 0.34/0.57 (define @t22 () (=> @t21 @t11)) % 0.34/0.57 (define @t23 () (not @t22)) % 0.34/0.57 (define @t24 () (not @t2)) % 0.34/0.57 (define @t25 () (not (forall @t6 (or (not @t4) @t24)))) % 0.34/0.57 (define @t26 () (forall @t6 (not @t5))) % 0.34/0.57 (define @t27 () (not @t26)) % 0.34/0.57 (define @t28 () (@var "BOUND_VARIABLE_7454" $$unsorted)) % 0.34/0.57 (define @t29 () (not (tptp.p @t28))) % 0.34/0.57 (define @t30 () (tptp.g (tptp.h @t28))) % 0.34/0.57 (define @t31 () (@list @t28)) % 0.34/0.57 (define @t32 () (forall @t31 (or (not (tptp.l @t3 @t30)) @t29))) % 0.34/0.57 (define @t33 () (or (not @t16) @t24)) % 0.34/0.57 (define @t34 () (forall @t6 @t33)) % 0.34/0.57 (define @t35 () (forall @t6 @t8)) % 0.34/0.57 (define @t36 () (and @t35 @t34)) % 0.34/0.57 (define @t37 () (forall @t6 (not @t18))) % 0.34/0.57 (define @t38 () (not @t37)) % 0.34/0.57 (define @t39 () (@quantifiers_skolemize (forall @t10 (or (not @t8) @t25)) 0)) % 0.34/0.57 (define @t40 () (forall @t31 (or (not (tptp.l @t39 @t30)) @t29))) % 0.34/0.57 (define @t41 () (@quantifiers_skolemize @t40 0)) % 0.34/0.57 (define @t42 () (tptp.h @t41)) % 0.34/0.57 (define @t43 () (tptp.p @t39)) % 0.34/0.57 (define @t44 () (forall @t6 (or (not (tptp.l @t39 @t1)) @t24))) % 0.34/0.57 (define @t45 () (not @t44)) % 0.34/0.57 (define @t46 () (not @t43)) % 0.34/0.57 (define @t47 () (or @t46 @t45)) % 0.34/0.57 (define @t48 () (@list true)) % 0.34/0.57 (define @t49 () (@list @t47)) % 0.34/0.57 (define @t50 () (not @t40)) % 0.34/0.57 (define @t51 () (or @t46 @t50)) % 0.34/0.57 (define @t52 () (@list false false)) % 0.34/0.57 (define @t53 () (tptp.p @t41)) % 0.34/0.57 (define @t54 () (not @t53)) % 0.34/0.57 (define @t55 () (tptp.g @t42)) % 0.34/0.57 (define @t56 () (tptp.l @t39 @t55)) % 0.34/0.57 (define @t57 () (not @t56)) % 0.34/0.57 (define @t58 () (or @t57 @t54)) % 0.34/0.57 (define @t59 () (@list @t58)) % 0.34/0.57 (define @t60 () (tptp.p @t42)) % 0.34/0.57 (define @t61 () (and (tptp.p (tptp.g @t41)) @t60)) % 0.34/0.57 (define @t62 () (or @t54 @t61)) % 0.34/0.57 (define @t63 () (tptp.p @t55)) % 0.34/0.57 (define @t64 () (not @t63)) % 0.34/0.57 (define @t65 () (or @t57 @t64)) % 0.34/0.57 (define @t66 () (and @t63 (tptp.p (tptp.h @t42)))) % 0.34/0.57 (define @t67 () (not @t66)) % 0.34/0.57 (define @t68 () (not @t60)) % 0.34/0.57 (define @t69 () (or @t68 @t66)) % 0.34/0.57 (assume @p1 @t23) % 0.34/0.57 (assume @p2 true) % 0.34/0.57 (step @p3 :rule bool-impl-elim :args (@t8 @t25)) % 0.34/0.57 (step @p4 :rule cong :premises (@p3) :args ((forall @t10 (=> @t8 @t25)))) % 0.34/0.57 (step @p5 :rule bool-and-de-morgan :args (@t4 @t2 true)) % 0.34/0.57 (step @p6 :rule cong :premises (@p5) :args (@t26)) % 0.34/0.57 (step @p7 :rule cong :premises (@p6) :args (@t27)) % 0.34/0.57 (step @p8 :rule exists-elim :args ((= @t7 @t27))) % 0.34/0.57 (step @p9 :rule trans :premises (@p8 @p7)) % 0.34/0.57 (step @p10 :rule refl :args (@t8)) % 0.34/0.57 (step @p11 :rule cong :premises (@p10 @p9) :args (@t9)) % 0.34/0.57 (step @p12 :rule cong :premises (@p11) :args (@t11)) % 0.34/0.57 (step @p13 :rule trans :premises (@p12 @p4)) % 0.34/0.57 (step @p14 :rule bool-impl-elim :args (@t14 @t13)) % 0.34/0.57 (step @p15 :rule cong :premises (@p14) :args (@t15)) % 0.34/0.57 (step @p16 :rule bool-and-de-morgan :args (@t8 @t32 true)) % 0.34/0.57 (step @p17 :rule cong :premises (@p16) :args ((forall @t10 (not (and @t8 @t32))))) % 0.34/0.57 (step @p18 :rule alpha_equiv :args (@t34 (@list @t1) (@list @t28))) % 0.34/0.57 (step @p19 :rule quant-unused-vars :args ((= @t35 @t8))) % 0.34/0.57 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t36)) % 0.34/0.57 (step @p21 :rule quant-miniscope-and :args ((= (forall @t6 (and @t8 @t33)) @t36))) % 0.34/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.34/0.57 (step @p23 :rule bool-and-de-morgan :args (@t16 @t2 true)) % 0.34/0.57 (step @p24 :rule refl :args (@t8)) % 0.34/0.57 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((and @t8 (not @t17)))) % 0.34/0.57 (step @p26 :rule bool-implies-de-morgan :args (@t8 @t17)) % 0.34/0.57 (step @p27 :rule trans :premises (@p26 @p25)) % 0.34/0.57 (step @p28 :rule cong :premises (@p27) :args (@t37)) % 0.34/0.57 (step @p29 :rule trans :premises (@p28 @p22)) % 0.34/0.57 (step @p30 :rule cong :premises (@p29) :args (@t38)) % 0.34/0.57 (step @p31 :rule exists-elim :args ((= @t19 @t38))) % 0.34/0.57 (step @p32 :rule trans :premises (@p31 @p30)) % 0.34/0.57 (step @p33 :rule cong :premises (@p32) :args (@t20)) % 0.34/0.57 (step @p34 :rule trans :premises (@p33 @p17)) % 0.34/0.57 (step @p35 :rule nary_cong :premises (@p34 @p15) :args (@t21)) % 0.34/0.57 (step @p36 :rule cong :premises (@p35 @p13) :args (@t22)) % 0.34/0.57 (step @p37 :rule cong :premises (@p36) :args (@t23)) % 0.34/0.57 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.34/0.57 (step @p39 :rule not_implies_elim1 :premises (@p38)) % 0.34/0.57 (step @p40 :rule and_elim :premises (@p39) :args (1)) % 0.34/0.57 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t42))) % 0.34/0.57 (step @p42 :rule instantiate :premises (@p40) :args ((@list @t41))) % 0.34/0.57 (step @p43 :rule and_elim :premises (@p39) :args (0)) % 0.34/0.57 (step @p44 :rule instantiate :premises (@p43) :args ((@list @t39))) % 0.34/0.57 (step @p45 :rule not_implies_elim2 :premises (@p38)) % 0.34/0.57 (step @p46 :rule skolemize :premises (@p45)) % 0.34/0.57 (step @p47 :rule bool-double-not-elim :args (@t43)) % 0.34/0.57 (step @p48 :rule refl :args (@t47)) % 0.34/0.57 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t47 (not @t46)))) % 0.34/0.57 (step @p50 :rule cnf_or_neg :args (@t47 0)) % 0.34/0.57 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.34/0.57 (step @p52 :rule reordering :premises (@p51) :args ((or @t43 @t47))) % 0.34/0.57 (step @p53 :rule chain_m_resolution :premises (@p52 @p46) :args (@t43 @t48 @t49)) % 0.34/0.57 (step @p54 :rule cnf_or_pos :args (@t51)) % 0.34/0.57 (step @p55 :rule reordering :premises (@p54) :args ((or @t46 @t50 (not @t51)))) % 0.34/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p44) :args (@t50 @t52 (@list @t43 @t51))) % 0.34/0.57 (step @p57 :rule skolemize :premises (@p56)) % 0.34/0.57 (step @p58 :rule bool-double-not-elim :args (@t53)) % 0.34/0.57 (step @p59 :rule refl :args (@t58)) % 0.34/0.57 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t58 (not @t54)))) % 0.34/0.57 (step @p61 :rule cnf_or_neg :args (@t58 1)) % 0.34/0.57 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.34/0.57 (step @p63 :rule reordering :premises (@p62) :args ((or @t53 @t58))) % 0.34/0.57 (step @p64 :rule chain_m_resolution :premises (@p63 @p57) :args (@t53 @t48 @t59)) % 0.34/0.57 (step @p65 :rule cnf_or_pos :args (@t62)) % 0.34/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t54 @t61 (not @t62)))) % 0.34/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p42) :args (@t61 @t52 (@list @t53 @t62))) % 0.34/0.57 (step @p68 :rule cnf_and_pos :args (@t61 1)) % 0.34/0.57 (step @p69 :rule reordering :premises (@p68) :args ((or @t60 (not @t61)))) % 0.34/0.57 (step @p70 :rule chain_m_resolution :premises (@p69 @p67) :args (@t60 (@list false) (@list @t61))) % 0.34/0.57 (step @p71 :rule bool-double-not-elim :args (@t44)) % 0.34/0.57 (step @p72 :rule nary_cong :premises (@p48 @p71) :args ((or @t47 (not @t45)))) % 0.34/0.57 (step @p73 :rule cnf_or_neg :args (@t47 1)) % 0.34/0.57 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.34/0.57 (step @p75 :rule reordering :premises (@p74) :args ((or @t44 @t47))) % 0.34/0.57 (step @p76 :rule chain_m_resolution :premises (@p75 @p46) :args (@t44 @t48 @t49)) % 0.34/0.57 (step @p77 :rule instantiate :premises (@p76) :args ((@list @t55))) % 0.34/0.57 (step @p78 :rule bool-double-not-elim :args (@t56)) % 0.34/0.57 (step @p79 :rule nary_cong :premises (@p59 @p78) :args ((or @t58 (not @t57)))) % 0.34/0.57 (step @p80 :rule cnf_or_neg :args (@t58 0)) % 0.34/0.57 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.34/0.57 (step @p82 :rule reordering :premises (@p81) :args ((or @t56 @t58))) % 0.34/0.57 (step @p83 :rule chain_m_resolution :premises (@p82 @p57) :args (@t56 @t48 @t59)) % 0.34/0.57 (step @p84 :rule cnf_or_pos :args (@t65)) % 0.34/0.57 (step @p85 :rule reordering :premises (@p84) :args ((or @t57 @t64 (not @t65)))) % 0.34/0.57 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p77) :args (@t64 @t52 (@list @t56 @t65))) % 0.34/0.57 (step @p87 :rule cnf_and_pos :args (@t66 0)) % 0.34/0.57 (step @p88 :rule reordering :premises (@p87) :args ((or @t63 @t67))) % 0.34/0.57 (step @p89 :rule chain_m_resolution :premises (@p88 @p86) :args (@t67 @t48 (@list @t63))) % 0.34/0.57 (step @p90 :rule cnf_or_pos :args (@t69)) % 0.34/0.57 (step @p91 :rule reordering :premises (@p90) :args ((or @t68 @t66 (not @t69)))) % 0.34/0.57 (step @p92 false :rule chain_m_resolution :premises (@p91 @p89 @p70 @p41) :args (false (@list true false false) (@list @t66 @t60 @t69))) % 0.34/0.57 ) % 0.34/0.57 % SZS output end Proof % 0.34/0.57 % cvc5 exiting %------------------------------------------------------------------------------