%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN058+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 : n002.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 09:07:56 AM UTC 2026 % Result : Theorem 0.37s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN058+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 23:19:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.55 % SZS status Theorem % 0.37/0.55 % SZS output start Proof % 0.37/0.55 ( % 0.37/0.55 (declare-sort $$unsorted 0) % 0.37/0.55 (declare-const tptp.big_f (-> $$unsorted Bool)) % 0.37/0.55 (declare-const tptp.big_r (-> $$unsorted Bool)) % 0.37/0.55 (declare-const tptp.big_g (-> $$unsorted Bool)) % 0.37/0.55 (declare-const tptp.big_s (-> $$unsorted Bool)) % 0.37/0.55 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.37/0.55 (declare-const tptp.big_q (-> $$unsorted Bool)) % 0.37/0.55 (define @t1 () (@var "Z" $$unsorted)) % 0.37/0.55 (define @t2 () (forall (@list @t1) (tptp.big_q @t1))) % 0.37/0.55 (define @t3 () (@var "X" $$unsorted)) % 0.37/0.55 (define @t4 () (tptp.big_p @t3)) % 0.37/0.55 (define @t5 () (@list @t3)) % 0.37/0.55 (define @t6 () (forall @t5 (=> @t4 @t2))) % 0.37/0.55 (define @t7 () (@var "X1" $$unsorted)) % 0.37/0.55 (define @t8 () (tptp.big_s @t7)) % 0.37/0.55 (define @t9 () (tptp.big_q @t7)) % 0.37/0.55 (define @t10 () (and @t9 @t8)) % 0.37/0.55 (define @t11 () (@list @t7)) % 0.37/0.55 (define @t12 () (exists @t11 @t10)) % 0.37/0.55 (define @t13 () (forall @t5 (or (tptp.big_q @t3) (tptp.big_r @t3)))) % 0.37/0.55 (define @t14 () (=> @t13 @t12)) % 0.37/0.55 (define @t15 () (tptp.big_g @t7)) % 0.37/0.55 (define @t16 () (tptp.big_f @t7)) % 0.37/0.55 (define @t17 () (forall @t11 (=> @t16 @t15))) % 0.37/0.55 (define @t18 () (tptp.big_s @t3)) % 0.37/0.55 (define @t19 () (exists @t5 @t18)) % 0.37/0.55 (define @t20 () (=> @t19 @t17)) % 0.37/0.55 (define @t21 () (tptp.big_g @t3)) % 0.37/0.55 (define @t22 () (tptp.big_f @t3)) % 0.37/0.55 (define @t23 () (and @t4 @t22)) % 0.37/0.55 (define @t24 () (forall @t5 (=> @t23 @t21))) % 0.37/0.55 (define @t25 () (not @t24)) % 0.37/0.55 (define @t26 () (not @t22)) % 0.37/0.55 (define @t27 () (not @t4)) % 0.37/0.55 (define @t28 () (or @t27 @t26 @t21)) % 0.37/0.55 (define @t29 () (@quantifiers_skolemize (forall @t5 @t28) 0)) % 0.37/0.55 (define @t30 () (tptp.big_g @t29)) % 0.37/0.55 (define @t31 () (tptp.big_f @t29)) % 0.37/0.55 (define @t32 () (not @t31)) % 0.37/0.55 (define @t33 () (tptp.big_p @t29)) % 0.37/0.55 (define @t34 () (not @t33)) % 0.37/0.55 (define @t35 () (or @t34 @t32 @t30)) % 0.37/0.55 (define @t36 () (@list true)) % 0.37/0.55 (define @t37 () (@list @t35)) % 0.37/0.55 (define @t38 () (or @t32 @t30)) % 0.37/0.55 (define @t39 () (not @t38)) % 0.37/0.55 (define @t40 () (forall @t11 (or (not @t16) @t15))) % 0.37/0.55 (define @t41 () (@list @t29)) % 0.37/0.55 (define @t42 () (forall @t5 (not @t18))) % 0.37/0.55 (define @t43 () (not @t42)) % 0.37/0.55 (define @t44 () (forall @t11 (or (not @t9) (not @t8)))) % 0.37/0.55 (define @t45 () (@quantifiers_skolemize @t44 0)) % 0.37/0.55 (define @t46 () (tptp.big_s @t45)) % 0.37/0.55 (define @t47 () (not @t46)) % 0.37/0.55 (define @t48 () (@list false)) % 0.37/0.55 (define @t49 () (forall @t5 @t27)) % 0.37/0.55 (define @t50 () (or @t2 @t27)) % 0.37/0.55 (define @t51 () (or @t27 @t2)) % 0.37/0.55 (define @t52 () (@quantifiers_skolemize @t13 0)) % 0.37/0.55 (define @t53 () (tptp.big_q @t52)) % 0.37/0.55 (define @t54 () (or @t53 (tptp.big_r @t52))) % 0.37/0.55 (define @t55 () (not @t54)) % 0.37/0.55 (define @t56 () (not @t13)) % 0.37/0.55 (define @t57 () (forall @t11 (not @t10))) % 0.37/0.55 (define @t58 () (not @t57)) % 0.37/0.55 (define @t59 () (not @t44)) % 0.37/0.55 (define @t60 () (or (not (tptp.big_q @t45)) @t47)) % 0.37/0.55 (define @t61 () (not @t60)) % 0.37/0.55 (assume @p1 @t6) % 0.37/0.55 (assume @p2 @t14) % 0.37/0.55 (assume @p3 @t20) % 0.37/0.55 (assume @p4 @t25) % 0.37/0.55 (assume @p5 true) % 0.37/0.55 (step @p6 :rule aci_norm :args ((= (or (or @t27 @t26) @t21) @t28))) % 0.37/0.55 (step @p7 :rule refl :args (@t21)) % 0.37/0.55 (step @p8 :rule bool-and-de-morgan :args (@t4 @t22 true)) % 0.37/0.55 (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((or (not @t23) @t21))) % 0.37/0.55 (step @p10 :rule trans :premises (@p9 @p6)) % 0.37/0.55 (step @p11 :rule bool-impl-elim :args (@t23 @t21)) % 0.37/0.55 (step @p12 :rule trans :premises (@p11 @p10)) % 0.37/0.55 (step @p13 :rule cong :premises (@p12) :args (@t24)) % 0.37/0.55 (step @p14 :rule cong :premises (@p13) :args (@t25)) % 0.37/0.55 (step @p15 :rule eq_resolve :premises (@p4 @p14)) % 0.37/0.55 (step @p16 :rule skolemize :premises (@p15)) % 0.37/0.55 (step @p17 :rule cnf_or_neg :args (@t35 2)) % 0.37/0.55 (step @p18 :rule chain_m_resolution :premises (@p17 @p16) :args ((not @t30) @t36 @t37)) % 0.37/0.55 (step @p19 :rule bool-double-not-elim :args (@t31)) % 0.37/0.55 (step @p20 :rule refl :args (@t35)) % 0.37/0.55 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or @t35 (not @t32)))) % 0.37/0.55 (step @p22 :rule cnf_or_neg :args (@t35 1)) % 0.37/0.55 (step @p23 :rule eq_resolve :premises (@p22 @p21)) % 0.37/0.55 (step @p24 :rule reordering :premises (@p23) :args ((or @t31 @t35))) % 0.37/0.55 (step @p25 :rule chain_m_resolution :premises (@p24 @p16) :args (@t31 @t36 @t37)) % 0.37/0.55 (step @p26 :rule cnf_or_pos :args (@t38)) % 0.37/0.55 (step @p27 :rule reordering :premises (@p26) :args ((or @t32 @t30 @t39))) % 0.37/0.55 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p18) :args (@t39 (@list false true) (@list @t31 @t30))) % 0.37/0.55 (assume-push @p119 @t40) % 0.37/0.55 (step @p30 :rule instantiate :premises (@p119) :args (@t41)) % 0.37/0.55 (step-pop @p120 :rule scope :premises (@p30)) % 0.37/0.55 (step @p31 :rule process_scope :premises (@p120) :args (@t38)) % 0.37/0.55 (step @p33 :rule implies_elim :premises (@p31)) % 0.37/0.55 (step @p34 :rule chain_m_resolution :premises (@p33 @p28) :args ((not @t40) @t36 (@list @t38))) % 0.37/0.55 (step @p35 :rule refl :args (@t40)) % 0.37/0.55 (step @p36 :rule bool-double-not-elim :args (@t42)) % 0.37/0.55 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or (not @t43) @t40))) % 0.37/0.55 (step @p38 :rule bool-impl-elim :args (@t16 @t15)) % 0.37/0.55 (step @p39 :rule cong :premises (@p38) :args (@t17)) % 0.37/0.55 (step @p40 :rule exists-elim :args ((= @t19 @t43))) % 0.37/0.55 (step @p41 :rule cong :premises (@p40 @p39) :args (@t20)) % 0.37/0.55 (step @p42 :rule eq_resolve :premises (@p3 @p41)) % 0.37/0.55 (step @p43 :rule implies_elim :premises (@p42)) % 0.37/0.55 (step @p44 :rule eq_resolve :premises (@p43 @p37)) % 0.37/0.55 (step @p45 :rule chain_m_resolution :premises (@p44 @p34) :args (@t42 @t36 (@list @t40))) % 0.37/0.55 (assume-push @p121 @t42) % 0.37/0.55 (step @p47 :rule instantiate :premises (@p121) :args ((@list @t45))) % 0.37/0.55 (step-pop @p122 :rule scope :premises (@p47)) % 0.37/0.55 (step @p48 :rule process_scope :premises (@p122) :args (@t47)) % 0.37/0.55 (step @p50 :rule implies_elim :premises (@p48)) % 0.37/0.55 (step @p51 :rule chain_m_resolution :premises (@p50 @p45) :args (@t47 @t48 (@list @t42))) % 0.37/0.55 (step @p52 :rule bool-double-not-elim :args (@t33)) % 0.37/0.55 (step @p53 :rule nary_cong :premises (@p20 @p52) :args ((or @t35 (not @t34)))) % 0.37/0.55 (step @p54 :rule cnf_or_neg :args (@t35 0)) % 0.37/0.55 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.37/0.55 (step @p56 :rule reordering :premises (@p55) :args ((or @t33 @t35))) % 0.37/0.55 (step @p57 :rule chain_m_resolution :premises (@p56 @p16) :args (@t33 @t36 @t37)) % 0.37/0.55 (assume-push @p123 @t49) % 0.37/0.55 (step @p59 :rule instantiate :premises (@p123) :args (@t41)) % 0.37/0.55 (step-pop @p124 :rule scope :premises (@p59)) % 0.37/0.55 (step @p60 :rule process_scope :premises (@p124) :args (@t34)) % 0.37/0.55 (step @p62 :rule implies_elim :premises (@p60)) % 0.37/0.55 (step @p63 :rule chain_m_resolution :premises (@p62 @p57) :args ((not @t49) @t48 (@list @t33))) % 0.37/0.55 (step @p64 :rule quant-miniscope-or :args ((= (forall @t5 @t50) (or @t2 @t49)))) % 0.37/0.55 (step @p65 :rule aci_norm :args ((= @t51 @t50))) % 0.37/0.55 (step @p66 :rule cong :premises (@p65) :args ((forall @t5 @t51))) % 0.37/0.55 (step @p67 :rule trans :premises (@p66 @p64)) % 0.37/0.55 (step @p68 :rule bool-impl-elim :args (@t4 @t2)) % 0.37/0.55 (step @p69 :rule cong :premises (@p68) :args (@t6)) % 0.37/0.55 (step @p70 :rule trans :premises (@p69 @p67)) % 0.37/0.55 (step @p71 :rule eq_resolve :premises (@p1 @p70)) % 0.37/0.55 (step @p72 :rule chain_m_resolution :premises (@p71 @p63) :args (@t2 @t36 (@list @t49))) % 0.37/0.55 (assume-push @p125 @t2) % 0.37/0.55 (step @p74 :rule instantiate :premises (@p125) :args ((@list @t52))) % 0.37/0.55 (step-pop @p126 :rule scope :premises (@p74)) % 0.37/0.55 (step @p75 :rule process_scope :premises (@p126) :args (@t53)) % 0.37/0.55 (step @p77 :rule implies_elim :premises (@p75)) % 0.37/0.55 (step @p78 :rule chain_m_resolution :premises (@p77 @p72) :args (@t53 @t48 (@list @t2))) % 0.37/0.55 (step @p79 :rule cnf_or_neg :args (@t54 0)) % 0.37/0.55 (step @p80 :rule chain_m_resolution :premises (@p79 @p78) :args (@t54 @t48 (@list @t53))) % 0.37/0.55 (step @p81 :rule refl :args (@t55)) % 0.37/0.55 (step @p82 :rule bool-double-not-elim :args (@t13)) % 0.37/0.55 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t56) @t55))) % 0.37/0.55 (assume-push @p127 @t56) % 0.37/0.55 (step @p85 :rule skolemize :premises (@p127)) % 0.37/0.55 (step-pop @p128 :rule scope :premises (@p85)) % 0.37/0.55 (step @p86 :rule process_scope :premises (@p128) :args (@t55)) % 0.37/0.55 (step @p88 :rule implies_elim :premises (@p86)) % 0.37/0.55 (step @p89 :rule eq_resolve :premises (@p88 @p83)) % 0.37/0.55 (step @p90 :rule chain_m_resolution :premises (@p89 @p80) :args (@t13 @t48 (@list @t54))) % 0.37/0.55 (step @p91 :rule bool-and-de-morgan :args (@t9 @t8 true)) % 0.37/0.55 (step @p92 :rule cong :premises (@p91) :args (@t57)) % 0.37/0.55 (step @p93 :rule cong :premises (@p92) :args (@t58)) % 0.37/0.55 (step @p94 :rule exists-elim :args ((= @t12 @t58))) % 0.37/0.55 (step @p95 :rule trans :premises (@p94 @p93)) % 0.37/0.55 (step @p96 :rule refl :args (@t13)) % 0.37/0.55 (step @p97 :rule cong :premises (@p96 @p95) :args (@t14)) % 0.37/0.55 (step @p98 :rule eq_resolve :premises (@p2 @p97)) % 0.37/0.55 (step @p99 :rule implies_elim :premises (@p98)) % 0.37/0.55 (step @p100 :rule reordering :premises (@p99) :args ((or @t59 @t56))) % 0.37/0.56 (step @p101 :rule chain_m_resolution :premises (@p100 @p90) :args (@t59 @t48 (@list @t13))) % 0.37/0.56 (step @p102 :rule refl :args (@t61)) % 0.37/0.56 (step @p103 :rule bool-double-not-elim :args (@t44)) % 0.37/0.56 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or (not @t59) @t61))) % 0.37/0.56 (assume-push @p129 @t59) % 0.37/0.56 (step @p106 :rule skolemize :premises (@p129)) % 0.37/0.56 (step-pop @p130 :rule scope :premises (@p106)) % 0.37/0.56 (step @p107 :rule process_scope :premises (@p130) :args (@t61)) % 0.37/0.56 (step @p109 :rule implies_elim :premises (@p107)) % 0.37/0.56 (step @p110 :rule eq_resolve :premises (@p109 @p104)) % 0.37/0.56 (step @p111 :rule chain_m_resolution :premises (@p110 @p101) :args (@t61 @t36 (@list @t44))) % 0.37/0.56 (step @p112 :rule bool-double-not-elim :args (@t46)) % 0.37/0.56 (step @p113 :rule refl :args (@t60)) % 0.37/0.56 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t60 (not @t47)))) % 0.37/0.56 (step @p115 :rule cnf_or_neg :args (@t60 1)) % 0.37/0.56 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.37/0.56 (step @p117 :rule reordering :premises (@p116) :args ((or @t46 @t60))) % 0.37/0.56 (step @p118 false :rule chain_m_resolution :premises (@p117 @p111 @p51) :args (false (@list true true) (@list @t60 @t46))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------