%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN070+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 : n016.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 09:07:59 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN070+1 : TPTP v9.2.1. Released v2.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.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 23:20:24 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.big_j (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.big_f (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.big_h (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.big_g (-> $$unsorted Bool)) % 0.39/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.57 (define @t2 () (tptp.big_g @t1)) % 0.39/0.57 (define @t3 () (@var "Y" $$unsorted)) % 0.39/0.57 (define @t4 () (tptp.big_g @t3)) % 0.39/0.57 (define @t5 () (tptp.big_h @t3 @t1)) % 0.39/0.57 (define @t6 () (tptp.big_f @t3)) % 0.39/0.57 (define @t7 () (and @t6 @t5)) % 0.39/0.57 (define @t8 () (=> @t7 @t4)) % 0.39/0.57 (define @t9 () (tptp.big_f @t1)) % 0.39/0.57 (define @t10 () (and @t9 @t8)) % 0.39/0.57 (define @t11 () (@list @t1 @t3)) % 0.39/0.57 (define @t12 () (forall @t11 (=> @t10 @t2))) % 0.39/0.57 (define @t13 () (@var "X1" $$unsorted)) % 0.39/0.57 (define @t14 () (tptp.big_j @t13 @t3)) % 0.39/0.57 (define @t15 () (not @t4)) % 0.39/0.57 (define @t16 () (and @t6 @t15)) % 0.39/0.57 (define @t17 () (@list @t3)) % 0.39/0.57 (define @t18 () (forall @t17 (=> @t16 @t14))) % 0.39/0.57 (define @t19 () (tptp.big_g @t13)) % 0.39/0.57 (define @t20 () (not @t19)) % 0.39/0.57 (define @t21 () (tptp.big_f @t13)) % 0.39/0.57 (define @t22 () (and @t21 @t20 @t18)) % 0.39/0.57 (define @t23 () (@list @t13)) % 0.39/0.57 (define @t24 () (exists @t23 @t22)) % 0.39/0.57 (define @t25 () (not @t2)) % 0.39/0.57 (define @t26 () (and @t9 @t25)) % 0.39/0.57 (define @t27 () (@list @t1)) % 0.39/0.57 (define @t28 () (exists @t27 @t26)) % 0.39/0.57 (define @t29 () (=> @t28 @t24)) % 0.39/0.57 (define @t30 () (not (tptp.big_j @t3 @t1))) % 0.39/0.57 (define @t31 () (tptp.big_h @t1 @t3)) % 0.39/0.57 (define @t32 () (and @t9 @t6 @t31)) % 0.39/0.57 (define @t33 () (forall @t11 (=> @t32 @t30))) % 0.39/0.57 (define @t34 () (forall @t27 (=> @t9 @t2))) % 0.39/0.57 (define @t35 () (not @t34)) % 0.39/0.57 (define @t36 () (not @t6)) % 0.39/0.57 (define @t37 () (or @t36 @t4 @t14)) % 0.39/0.57 (define @t38 () (forall @t17 @t37)) % 0.39/0.57 (define @t39 () (not @t38)) % 0.39/0.57 (define @t40 () (not @t21)) % 0.39/0.57 (define @t41 () (forall @t23 (or @t40 @t19 @t39))) % 0.39/0.57 (define @t42 () (not @t41)) % 0.39/0.57 (define @t43 () (not @t9)) % 0.39/0.57 (define @t44 () (forall @t27 (or @t43 @t2))) % 0.39/0.57 (define @t45 () (not @t20)) % 0.39/0.57 (define @t46 () (or @t40 @t45 @t39)) % 0.39/0.57 (define @t47 () (and @t21 @t20 @t38)) % 0.39/0.57 (define @t48 () (forall @t23 (not @t47))) % 0.39/0.57 (define @t49 () (not @t48)) % 0.39/0.57 (define @t50 () (forall @t27 (not @t26))) % 0.39/0.57 (define @t51 () (not @t50)) % 0.39/0.57 (define @t52 () (@list true)) % 0.39/0.57 (define @t53 () (@quantifiers_skolemize @t41 0)) % 0.39/0.57 (define @t54 () (tptp.big_f @t53)) % 0.39/0.57 (define @t55 () (forall @t17 (or @t36 @t4 (tptp.big_j @t53 @t3)))) % 0.39/0.57 (define @t56 () (not @t55)) % 0.39/0.57 (define @t57 () (tptp.big_g @t53)) % 0.39/0.57 (define @t58 () (not @t54)) % 0.39/0.57 (define @t59 () (or @t58 @t57 @t56)) % 0.39/0.57 (define @t60 () (@list @t59)) % 0.39/0.57 (define @t61 () (not @t31)) % 0.39/0.57 (define @t62 () (or @t43 @t36 @t61)) % 0.39/0.57 (define @t63 () (@quantifiers_skolemize @t44 0)) % 0.39/0.57 (define @t64 () (tptp.big_g @t63)) % 0.39/0.57 (define @t65 () (tptp.big_f @t63)) % 0.39/0.57 (define @t66 () (not @t65)) % 0.39/0.57 (define @t67 () (or @t66 @t64)) % 0.39/0.57 (define @t68 () (not @t64)) % 0.39/0.57 (define @t69 () (@list @t67)) % 0.39/0.57 (define @t70 () (tptp.big_j @t53 @t63)) % 0.39/0.57 (define @t71 () (or @t66 @t64 @t70)) % 0.39/0.57 (define @t72 () (not @t70)) % 0.39/0.57 (define @t73 () (tptp.big_h @t63 @t53)) % 0.39/0.57 (define @t74 () (not @t73)) % 0.39/0.57 (define @t75 () (or @t66 @t58 @t74 @t72)) % 0.39/0.57 (define @t76 () (and @t65 @t73 @t68)) % 0.39/0.57 (define @t77 () (not @t76)) % 0.39/0.57 (define @t78 () (and @t6 @t5 @t15)) % 0.39/0.57 (define @t79 () (or @t58 @t76 @t57)) % 0.39/0.57 (assume @p1 @t12) % 0.39/0.57 (assume @p2 @t29) % 0.39/0.57 (assume @p3 @t33) % 0.39/0.57 (assume @p4 @t35) % 0.39/0.57 (assume @p5 true) % 0.39/0.57 (step @p6 :rule bool-impl-elim :args (@t9 @t2)) % 0.39/0.57 (step @p7 :rule cong :premises (@p6) :args (@t34)) % 0.39/0.57 (step @p8 :rule cong :premises (@p7) :args (@t35)) % 0.39/0.57 (step @p9 :rule eq_resolve :premises (@p4 @p8)) % 0.39/0.57 (step @p10 :rule refl :args (@t42)) % 0.39/0.57 (step @p11 :rule bool-double-not-elim :args (@t44)) % 0.39/0.57 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or (not (not @t44)) @t42))) % 0.39/0.57 (step @p13 :rule refl :args (@t39)) % 0.39/0.57 (step @p14 :rule bool-double-not-elim :args (@t19)) % 0.39/0.57 (step @p15 :rule refl :args (@t40)) % 0.39/0.57 (step @p16 :rule nary_cong :premises (@p15 @p14 @p13) :args (@t46)) % 0.39/0.57 (step @p17 :rule aci_norm :args ((= (or @t40 (or @t45 @t39)) @t46))) % 0.39/0.57 (step @p18 :rule trans :premises (@p17 @p16)) % 0.39/0.57 (step @p19 :rule bool-and-de-morgan :args (@t20 @t38 true)) % 0.39/0.57 (step @p20 :rule nary_cong :premises (@p15 @p19) :args ((or @t40 (not (and @t20 @t38))))) % 0.39/0.57 (step @p21 :rule bool-and-de-morgan :args (@t21 @t20 (and @t38))) % 0.39/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.39/0.57 (step @p23 :rule trans :premises (@p22 @p18)) % 0.39/0.57 (step @p24 :rule cong :premises (@p23) :args (@t48)) % 0.39/0.57 (step @p25 :rule cong :premises (@p24) :args (@t49)) % 0.39/0.57 (step @p26 :rule exists-elim :args ((= (exists @t23 @t47) @t49))) % 0.39/0.57 (step @p27 :rule trans :premises (@p26 @p25)) % 0.39/0.57 (step @p28 :rule aci_norm :args ((= (or (or @t36 @t4) @t14) @t37))) % 0.39/0.57 (step @p29 :rule refl :args (@t14)) % 0.39/0.57 (step @p30 :rule bool-double-not-elim :args (@t4)) % 0.39/0.57 (step @p31 :rule refl :args (@t36)) % 0.39/0.57 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t36 (not @t15)))) % 0.39/0.57 (step @p33 :rule bool-and-de-morgan :args (@t6 @t15 true)) % 0.39/0.57 (step @p34 :rule trans :premises (@p33 @p32)) % 0.39/0.57 (step @p35 :rule nary_cong :premises (@p34 @p29) :args ((or (not @t16) @t14))) % 0.39/0.57 (step @p36 :rule trans :premises (@p35 @p28)) % 0.39/0.57 (step @p37 :rule bool-impl-elim :args (@t16 @t14)) % 0.39/0.57 (step @p38 :rule trans :premises (@p37 @p36)) % 0.39/0.57 (step @p39 :rule cong :premises (@p38) :args (@t18)) % 0.39/0.57 (step @p40 :rule refl :args (@t20)) % 0.39/0.57 (step @p41 :rule refl :args (@t21)) % 0.39/0.57 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39) :args (@t22)) % 0.39/0.57 (step @p43 :rule cong :premises (@p42) :args (@t24)) % 0.39/0.57 (step @p44 :rule trans :premises (@p43 @p27)) % 0.39/0.57 (step @p45 :rule bool-double-not-elim :args (@t2)) % 0.39/0.57 (step @p46 :rule refl :args (@t43)) % 0.39/0.57 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t43 (not @t25)))) % 0.39/0.57 (step @p48 :rule bool-and-de-morgan :args (@t9 @t25 true)) % 0.39/0.57 (step @p49 :rule trans :premises (@p48 @p47)) % 0.39/0.57 (step @p50 :rule cong :premises (@p49) :args (@t50)) % 0.39/0.57 (step @p51 :rule cong :premises (@p50) :args (@t51)) % 0.39/0.57 (step @p52 :rule exists-elim :args ((= @t28 @t51))) % 0.39/0.57 (step @p53 :rule trans :premises (@p52 @p51)) % 0.39/0.57 (step @p54 :rule cong :premises (@p53 @p44) :args (@t29)) % 0.39/0.57 (step @p55 :rule eq_resolve :premises (@p2 @p54)) % 0.39/0.57 (step @p56 :rule implies_elim :premises (@p55)) % 0.39/0.57 (step @p57 :rule eq_resolve :premises (@p56 @p12)) % 0.39/0.57 (step @p58 :rule chain_m_resolution :premises (@p57 @p9) :args (@t42 @t52 (@list @t44))) % 0.39/0.57 (step @p59 :rule skolemize :premises (@p58)) % 0.39/0.57 (step @p60 :rule bool-double-not-elim :args (@t54)) % 0.39/0.57 (step @p61 :rule refl :args (@t59)) % 0.39/0.57 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t59 (not @t58)))) % 0.39/0.57 (step @p63 :rule cnf_or_neg :args (@t59 0)) % 0.39/0.57 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.39/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t54 @t59))) % 0.39/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p59) :args (@t54 @t52 @t60)) % 0.39/0.57 (step @p67 :rule cnf_or_neg :args (@t59 1)) % 0.39/0.57 (step @p68 :rule chain_m_resolution :premises (@p67 @p59) :args ((not @t57) @t52 @t60)) % 0.39/0.57 (step @p69 :rule aci_norm :args ((= (or @t62 @t30) (or @t43 @t36 @t61 @t30)))) % 0.39/0.57 (step @p70 :rule refl :args (@t30)) % 0.39/0.57 (step @p71 :rule aci_norm :args ((= (or @t43 (or @t36 @t61)) @t62))) % 0.39/0.57 (step @p72 :rule bool-and-de-morgan :args (@t6 @t31 true)) % 0.39/0.57 (step @p73 :rule nary_cong :premises (@p46 @p72) :args ((or @t43 (not (and @t6 @t31))))) % 0.39/0.57 (step @p74 :rule bool-and-de-morgan :args (@t9 @t6 (and @t31))) % 0.39/0.57 (step @p75 :rule trans :premises (@p74 @p73)) % 0.39/0.57 (step @p76 :rule trans :premises (@p75 @p71)) % 0.39/0.57 (step @p77 :rule nary_cong :premises (@p76 @p70) :args ((or (not @t32) @t30))) % 0.39/0.57 (step @p78 :rule trans :premises (@p77 @p69)) % 0.39/0.57 (step @p79 :rule bool-impl-elim :args (@t32 @t30)) % 0.39/0.57 (step @p80 :rule trans :premises (@p79 @p78)) % 0.39/0.57 (step @p81 :rule cong :premises (@p80) :args (@t33)) % 0.39/0.57 (step @p82 :rule eq_resolve :premises (@p3 @p81)) % 0.39/0.57 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t63 @t53))) % 0.39/0.57 (step @p84 :rule bool-double-not-elim :args (@t55)) % 0.39/0.57 (step @p85 :rule nary_cong :premises (@p61 @p84) :args ((or @t59 (not @t56)))) % 0.39/0.57 (step @p86 :rule cnf_or_neg :args (@t59 2)) % 0.39/0.57 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.39/0.57 (step @p88 :rule reordering :premises (@p87) :args ((or @t55 @t59))) % 0.39/0.57 (step @p89 :rule chain_m_resolution :premises (@p88 @p59) :args (@t55 @t52 @t60)) % 0.39/0.57 (step @p90 :rule instantiate :premises (@p89) :args ((@list @t63))) % 0.39/0.57 (step @p91 :rule skolemize :premises (@p9)) % 0.39/0.57 (step @p92 :rule cnf_or_neg :args (@t67 1)) % 0.39/0.57 (step @p93 :rule chain_m_resolution :premises (@p92 @p91) :args (@t68 @t52 @t69)) % 0.39/0.57 (step @p94 :rule bool-double-not-elim :args (@t65)) % 0.39/0.57 (step @p95 :rule refl :args (@t67)) % 0.39/0.57 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t67 (not @t66)))) % 0.39/0.57 (step @p97 :rule cnf_or_neg :args (@t67 0)) % 0.39/0.57 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.39/0.57 (step @p99 :rule reordering :premises (@p98) :args ((or @t65 @t67))) % 0.39/0.57 (step @p100 :rule chain_m_resolution :premises (@p99 @p91) :args (@t65 @t52 @t69)) % 0.39/0.57 (step @p101 :rule cnf_or_pos :args (@t71)) % 0.39/0.57 (step @p102 :rule reordering :premises (@p101) :args ((or @t66 @t64 @t70 (not @t71)))) % 0.39/0.57 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p93 @p90) :args (@t70 (@list false true false) (@list @t65 @t64 @t71))) % 0.39/0.57 (step @p104 :rule cnf_or_pos :args (@t75)) % 0.39/0.57 (step @p105 :rule reordering :premises (@p104) :args ((or @t66 @t58 @t72 @t74 (not @t75)))) % 0.39/0.57 (step @p106 :rule chain_m_resolution :premises (@p105 @p100 @p66 @p103 @p83) :args (@t74 (@list false false false false) (@list @t65 @t54 @t70 @t75))) % 0.39/0.57 (step @p107 :rule cnf_and_pos :args (@t76 1)) % 0.39/0.57 (step @p108 :rule reordering :premises (@p107) :args ((or @t73 @t77))) % 0.39/0.57 (step @p109 :rule chain_m_resolution :premises (@p108 @p106) :args (@t77 @t52 (@list @t73))) % 0.39/0.57 (step @p110 :rule aci_norm :args ((= (or (or @t43 @t78) @t2) (or @t43 @t78 @t2)))) % 0.39/0.57 (step @p111 :rule refl :args (@t2)) % 0.39/0.57 (step @p112 :rule aci_norm :args ((= (and @t7 @t15) @t78))) % 0.39/0.57 (step @p113 :rule bool-implies-de-morgan :args (@t7 @t4)) % 0.39/0.57 (step @p114 :rule trans :premises (@p113 @p112)) % 0.39/0.57 (step @p115 :rule nary_cong :premises (@p46 @p114) :args ((or @t43 (not @t8)))) % 0.39/0.57 (step @p116 :rule bool-and-de-morgan :args (@t9 @t8 true)) % 0.39/0.57 (step @p117 :rule trans :premises (@p116 @p115)) % 0.39/0.57 (step @p118 :rule nary_cong :premises (@p117 @p111) :args ((or (not @t10) @t2))) % 0.39/0.57 (step @p119 :rule trans :premises (@p118 @p110)) % 0.39/0.57 (step @p120 :rule bool-impl-elim :args (@t10 @t2)) % 0.39/0.57 (step @p121 :rule trans :premises (@p120 @p119)) % 0.39/0.57 (step @p122 :rule cong :premises (@p121) :args (@t12)) % 0.39/0.57 (step @p123 :rule eq_resolve :premises (@p1 @p122)) % 0.39/0.57 (step @p124 :rule instantiate :premises (@p123) :args ((@list @t53 @t63))) % 0.39/0.57 (step @p125 :rule cnf_or_pos :args (@t79)) % 0.39/0.57 (step @p126 :rule reordering :premises (@p125) :args ((or @t58 @t57 @t76 (not @t79)))) % 0.39/0.57 (step @p127 false :rule chain_m_resolution :premises (@p126 @p124 @p109 @p68 @p66) :args (false (@list false true true false) (@list @t79 @t76 @t57 @t54))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------