%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN055^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 09:07:55 AM UTC 2026 % Result : Theorem 0.39s 0.55s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN055^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 23:19:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.39/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.55 % SZS status Theorem % 0.39/0.55 % SZS output start Proof % 0.39/0.55 ( % 0.39/0.55 (declare-sort $$unsorted 0) % 0.39/0.55 (declare-const tptp.cG (-> $$unsorted Bool)) % 0.39/0.55 (declare-const tptp.cF (-> $$unsorted Bool)) % 0.39/0.55 (declare-const tptp.cR (-> $$unsorted Bool)) % 0.39/0.55 (declare-const tptp.cQ (-> $$unsorted Bool)) % 0.39/0.55 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.39/0.55 (define @t1 () (@var "Xx" $$unsorted)) % 0.39/0.55 (define @t2 () (_ tptp.cP @t1)) % 0.39/0.55 (define @t3 () (_ tptp.cQ @t1)) % 0.39/0.55 (define @t4 () (and @t3 @t2)) % 0.39/0.55 (define @t5 () (@list @t1)) % 0.39/0.55 (define @t6 () (exists @t5 @t4)) % 0.39/0.55 (define @t7 () (_ tptp.cR @t1)) % 0.39/0.55 (define @t8 () (and @t2 @t7)) % 0.39/0.55 (define @t9 () (exists @t5 @t8)) % 0.39/0.55 (define @t10 () (forall @t5 (=> @t2 @t3))) % 0.39/0.55 (define @t11 () (or @t10 @t9)) % 0.39/0.55 (define @t12 () (_ tptp.cF @t1)) % 0.39/0.55 (define @t13 () (_ tptp.cG @t1)) % 0.39/0.55 (define @t14 () (and @t13 @t12)) % 0.39/0.55 (define @t15 () (forall @t5 (=> @t2 @t14))) % 0.39/0.55 (define @t16 () (not @t13)) % 0.39/0.55 (define @t17 () (and @t16 @t7)) % 0.39/0.55 (define @t18 () (forall @t5 (=> @t12 @t17))) % 0.39/0.55 (define @t19 () (exists @t5 @t2)) % 0.39/0.55 (define @t20 () (and @t19 @t18 @t15 @t11)) % 0.39/0.55 (define @t21 () (=> @t20 @t6)) % 0.39/0.55 (define @t22 () (not @t21)) % 0.39/0.55 (define @t23 () (tptp.cP @t1)) % 0.39/0.55 (define @t24 () (not @t2)) % 0.39/0.55 (define @t25 () (tptp.cQ @t1)) % 0.39/0.55 (define @t26 () (not @t3)) % 0.39/0.55 (define @t27 () (or @t26 @t24)) % 0.39/0.55 (define @t28 () (forall @t5 (not @t4))) % 0.39/0.55 (define @t29 () (not @t28)) % 0.39/0.55 (define @t30 () (tptp.cR @t1)) % 0.39/0.55 (define @t31 () (not @t7)) % 0.39/0.55 (define @t32 () (or @t24 @t31)) % 0.39/0.55 (define @t33 () (forall @t5 (not @t8))) % 0.39/0.55 (define @t34 () (not @t33)) % 0.39/0.55 (define @t35 () (or @t24 @t3)) % 0.39/0.55 (define @t36 () (tptp.cF @t1)) % 0.39/0.55 (define @t37 () (tptp.cG @t1)) % 0.39/0.55 (define @t38 () (or @t24 @t14)) % 0.39/0.55 (define @t39 () (not @t12)) % 0.39/0.55 (define @t40 () (or @t39 @t17)) % 0.39/0.55 (define @t41 () (forall @t5 @t24)) % 0.39/0.55 (define @t42 () (not @t41)) % 0.39/0.55 (define @t43 () (forall @t5 (not @t23))) % 0.39/0.55 (define @t44 () (@quantifiers_skolemize @t43 0)) % 0.39/0.55 (define @t45 () (@list @t44)) % 0.39/0.55 (define @t46 () (tptp.cP @t44)) % 0.39/0.55 (define @t47 () (not @t43)) % 0.39/0.55 (define @t48 () (not @t46)) % 0.39/0.55 (define @t49 () (not @t48)) % 0.39/0.55 (define @t50 () (tptp.cF @t44)) % 0.39/0.55 (define @t51 () (tptp.cG @t44)) % 0.39/0.55 (define @t52 () (and @t51 @t50)) % 0.39/0.55 (define @t53 () (or @t48 @t52)) % 0.39/0.55 (define @t54 () (not @t52)) % 0.39/0.55 (define @t55 () (@list false)) % 0.39/0.55 (define @t56 () (@list @t52)) % 0.39/0.55 (define @t57 () (not @t51)) % 0.39/0.55 (define @t58 () (and @t57 (tptp.cR @t44))) % 0.39/0.55 (define @t59 () (not @t58)) % 0.39/0.55 (define @t60 () (not @t50)) % 0.39/0.55 (define @t61 () (or @t60 @t58)) % 0.39/0.55 (assume @p1 @t22) % 0.39/0.55 (assume @p2 true) % 0.39/0.55 (step @p3 :rule refl :args (@t23)) % 0.39/0.55 (step @p4 :rule refl :args (@t2)) % 0.39/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t23))) % 0.39/0.55 (step @p6 :rule symm :premises (@p5)) % 0.39/0.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.39/0.55 (step @p8 :rule cong :premises (@p7) :args (@t24)) % 0.39/0.55 (step @p9 :rule refl :args (@t25)) % 0.39/0.55 (step @p10 :rule refl :args (@t3)) % 0.39/0.55 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t3 @t25))) % 0.39/0.55 (step @p12 :rule symm :premises (@p11)) % 0.39/0.55 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.39/0.55 (step @p14 :rule cong :premises (@p13) :args (@t26)) % 0.39/0.55 (step @p15 :rule nary_cong :premises (@p14 @p8) :args (@t27)) % 0.39/0.55 (step @p16 :rule cong :premises (@p15) :args ((forall @t5 @t27))) % 0.39/0.55 (step @p17 :rule bool-and-de-morgan :args (@t3 @t2 true)) % 0.39/0.55 (step @p18 :rule cong :premises (@p17) :args (@t28)) % 0.39/0.55 (step @p19 :rule trans :premises (@p18 @p16)) % 0.39/0.55 (step @p20 :rule cong :premises (@p19) :args (@t29)) % 0.39/0.55 (step @p21 :rule exists-elim :args ((= @t6 @t29))) % 0.39/0.55 (step @p22 :rule trans :premises (@p21 @p20)) % 0.39/0.55 (step @p23 :rule refl :args (@t30)) % 0.39/0.55 (step @p24 :rule refl :args (@t7)) % 0.39/0.55 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t7 @t30))) % 0.39/0.55 (step @p26 :rule symm :premises (@p25)) % 0.39/0.55 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.39/0.55 (step @p28 :rule cong :premises (@p27) :args (@t31)) % 0.39/0.55 (step @p29 :rule nary_cong :premises (@p8 @p28) :args (@t32)) % 0.39/0.55 (step @p30 :rule cong :premises (@p29) :args ((forall @t5 @t32))) % 0.39/0.55 (step @p31 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 0.39/0.55 (step @p32 :rule cong :premises (@p31) :args (@t33)) % 0.39/0.55 (step @p33 :rule trans :premises (@p32 @p30)) % 0.39/0.55 (step @p34 :rule cong :premises (@p33) :args (@t34)) % 0.39/0.55 (step @p35 :rule exists-elim :args ((= @t9 @t34))) % 0.39/0.55 (step @p36 :rule trans :premises (@p35 @p34)) % 0.39/0.55 (step @p37 :rule nary_cong :premises (@p8 @p13) :args (@t35)) % 0.39/0.55 (step @p38 :rule cong :premises (@p37) :args ((forall @t5 @t35))) % 0.39/0.55 (step @p39 :rule bool-impl-elim :args (@t2 @t3)) % 0.39/0.55 (step @p40 :rule cong :premises (@p39) :args (@t10)) % 0.39/0.55 (step @p41 :rule trans :premises (@p40 @p38)) % 0.39/0.55 (step @p42 :rule nary_cong :premises (@p41 @p36) :args (@t11)) % 0.39/0.55 (step @p43 :rule refl :args (@t36)) % 0.39/0.55 (step @p44 :rule refl :args (@t12)) % 0.39/0.55 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t12 @t36))) % 0.39/0.55 (step @p46 :rule symm :premises (@p45)) % 0.39/0.55 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.39/0.55 (step @p48 :rule refl :args (@t37)) % 0.39/0.55 (step @p49 :rule refl :args (@t13)) % 0.39/0.55 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t13 @t37))) % 0.39/0.55 (step @p51 :rule symm :premises (@p50)) % 0.39/0.55 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.39/0.55 (step @p53 :rule nary_cong :premises (@p52 @p47) :args (@t14)) % 0.39/0.55 (step @p54 :rule nary_cong :premises (@p8 @p53) :args (@t38)) % 0.39/0.55 (step @p55 :rule cong :premises (@p54) :args ((forall @t5 @t38))) % 0.39/0.55 (step @p56 :rule bool-impl-elim :args (@t2 @t14)) % 0.39/0.55 (step @p57 :rule cong :premises (@p56) :args (@t15)) % 0.39/0.55 (step @p58 :rule trans :premises (@p57 @p55)) % 0.39/0.55 (step @p59 :rule cong :premises (@p52) :args (@t16)) % 0.39/0.55 (step @p60 :rule nary_cong :premises (@p59 @p27) :args (@t17)) % 0.39/0.55 (step @p61 :rule cong :premises (@p47) :args (@t39)) % 0.39/0.55 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t40)) % 0.39/0.55 (step @p63 :rule cong :premises (@p62) :args ((forall @t5 @t40))) % 0.39/0.55 (step @p64 :rule bool-impl-elim :args (@t12 @t17)) % 0.39/0.55 (step @p65 :rule cong :premises (@p64) :args (@t18)) % 0.39/0.55 (step @p66 :rule trans :premises (@p65 @p63)) % 0.39/0.55 (step @p67 :rule cong :premises (@p8) :args (@t41)) % 0.39/0.55 (step @p68 :rule cong :premises (@p67) :args (@t42)) % 0.39/0.55 (step @p69 :rule exists-elim :args ((= @t19 @t42))) % 0.39/0.55 (step @p70 :rule trans :premises (@p69 @p68)) % 0.39/0.55 (step @p71 :rule nary_cong :premises (@p70 @p66 @p58 @p42) :args (@t20)) % 0.39/0.55 (step @p72 :rule cong :premises (@p71 @p22) :args (@t21)) % 0.39/0.55 (step @p73 :rule cong :premises (@p72) :args (@t22)) % 0.39/0.55 (step @p74 :rule eq_resolve :premises (@p1 @p73)) % 0.39/0.55 (step @p75 :rule not_implies_elim1 :premises (@p74)) % 0.39/0.55 (step @p76 :rule and_elim :premises (@p75) :args (2)) % 0.39/0.55 (step @p77 :rule instantiate :premises (@p76) :args (@t45)) % 0.39/0.55 (step @p78 :rule and_elim :premises (@p75) :args (0)) % 0.39/0.55 (step @p79 :rule refl :args (@t46)) % 0.39/0.55 (step @p80 :rule bool-double-not-elim :args (@t43)) % 0.39/0.55 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or (not @t47) @t46))) % 0.39/0.55 (step @p82 :rule bool-double-not-elim :args (@t46)) % 0.39/0.55 (step @p83 :rule refl :args (@t47)) % 0.39/0.55 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t47 @t49))) % 0.39/0.55 (assume-push @p110 @t47) % 0.39/0.55 (step @p86 :rule skolemize :premises (@p78)) % 0.39/0.55 (step-pop @p111 :rule scope :premises (@p86)) % 0.39/0.55 (step @p87 :rule process_scope :premises (@p111) :args (@t49)) % 0.39/0.55 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 0.39/0.55 (step @p90 :rule implies_elim :premises (@p89)) % 0.39/0.55 (step @p91 :rule eq_resolve :premises (@p90 @p81)) % 0.39/0.55 (step @p92 :rule chain_m_resolution :premises (@p91 @p78) :args (@t46 (@list true) (@list @t43))) % 0.39/0.55 (step @p93 :rule cnf_or_pos :args (@t53)) % 0.39/0.55 (step @p94 :rule reordering :premises (@p93) :args ((or @t48 @t52 (not @t53)))) % 0.39/0.55 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p77) :args (@t52 (@list false false) (@list @t46 @t53))) % 0.39/0.55 (step @p96 :rule cnf_and_pos :args (@t52 1)) % 0.39/0.55 (step @p97 :rule reordering :premises (@p96) :args ((or @t50 @t54))) % 0.39/0.55 (step @p98 :rule chain_m_resolution :premises (@p97 @p95) :args (@t50 @t55 @t56)) % 0.39/0.55 (step @p99 :rule cnf_and_pos :args (@t52 0)) % 0.39/0.55 (step @p100 :rule reordering :premises (@p99) :args ((or @t51 @t54))) % 0.39/0.55 (step @p101 :rule chain_m_resolution :premises (@p100 @p95) :args (@t51 @t55 @t56)) % 0.39/0.55 (step @p102 :rule cnf_and_pos :args (@t58 0)) % 0.39/0.55 (step @p103 :rule reordering :premises (@p102) :args ((or @t57 @t59))) % 0.39/0.55 (step @p104 :rule chain_m_resolution :premises (@p103 @p101) :args (@t59 @t55 (@list @t51))) % 0.39/0.55 (step @p105 :rule and_elim :premises (@p75) :args (1)) % 0.39/0.55 (step @p106 :rule instantiate :premises (@p105) :args (@t45)) % 0.39/0.55 (step @p107 :rule cnf_or_pos :args (@t61)) % 0.39/0.55 (step @p108 :rule reordering :premises (@p107) :args ((or @t60 @t58 (not @t61)))) % 0.39/0.56 (step @p109 false :rule chain_m_resolution :premises (@p108 @p106 @p104 @p98) :args (false (@list false true false) (@list @t61 @t58 @t50))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------