%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN051^5 : 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 : n012.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 09:07:54 AM UTC 2026 % Result : Theorem 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYN051^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 23:19:03 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TH0 % 0.15/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort $$unsorted 0) % 0.15/0.36 (declare-const tptp.cF (-> $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.p Bool) % 0.15/0.36 (define @t1 () (@var "Xx" $$unsorted)) % 0.15/0.36 (define @t2 () (_ tptp.cF @t1)) % 0.15/0.36 (define @t3 () (=> @t2 tptp.p)) % 0.15/0.36 (define @t4 () (=> tptp.p @t2)) % 0.15/0.36 (define @t5 () (and @t4 @t3)) % 0.15/0.36 (define @t6 () (@list @t1)) % 0.15/0.36 (define @t7 () (exists @t6 @t5)) % 0.15/0.36 (define @t8 () (exists @t6 @t3)) % 0.15/0.36 (define @t9 () (exists @t6 @t4)) % 0.15/0.36 (define @t10 () (and @t9 @t8)) % 0.15/0.36 (define @t11 () (=> @t10 @t7)) % 0.15/0.36 (define @t12 () (not @t11)) % 0.15/0.36 (define @t13 () (not tptp.p)) % 0.15/0.36 (define @t14 () (tptp.cF @t1)) % 0.15/0.36 (define @t15 () (and @t2 @t13)) % 0.15/0.36 (define @t16 () (not @t2)) % 0.15/0.36 (define @t17 () (and tptp.p @t16)) % 0.15/0.36 (define @t18 () (or @t17 @t15)) % 0.15/0.36 (define @t19 () (not @t3)) % 0.15/0.36 (define @t20 () (not @t4)) % 0.15/0.36 (define @t21 () (forall @t6 (not @t5))) % 0.15/0.36 (define @t22 () (not @t21)) % 0.15/0.36 (define @t23 () (@var "BOUND_VARIABLE_7445" $$unsorted)) % 0.15/0.36 (define @t24 () (tptp.cF @t23)) % 0.15/0.36 (define @t25 () (_ tptp.cF @t23)) % 0.15/0.36 (define @t26 () (@list @t23)) % 0.15/0.36 (define @t27 () (forall @t26 @t25)) % 0.15/0.36 (define @t28 () (forall @t6 @t13)) % 0.15/0.36 (define @t29 () (forall @t6 @t2)) % 0.15/0.36 (define @t30 () (@list @t1)) % 0.15/0.36 (define @t31 () (and @t29 @t28)) % 0.15/0.36 (define @t32 () (forall @t6 @t19)) % 0.15/0.36 (define @t33 () (not @t32)) % 0.15/0.36 (define @t34 () (@var "BOUND_VARIABLE_7427" $$unsorted)) % 0.15/0.36 (define @t35 () (tptp.cF @t34)) % 0.15/0.36 (define @t36 () (_ tptp.cF @t34)) % 0.15/0.36 (define @t37 () (not @t36)) % 0.15/0.36 (define @t38 () (@list @t34)) % 0.15/0.36 (define @t39 () (forall @t38 @t37)) % 0.15/0.36 (define @t40 () (forall @t6 @t16)) % 0.15/0.36 (define @t41 () (forall @t6 tptp.p)) % 0.15/0.36 (define @t42 () (and @t41 @t40)) % 0.15/0.36 (define @t43 () (forall @t6 @t20)) % 0.15/0.36 (define @t44 () (not @t43)) % 0.15/0.36 (define @t45 () (forall @t38 (not @t35))) % 0.15/0.36 (define @t46 () (@quantifiers_skolemize @t45 0)) % 0.15/0.36 (define @t47 () (forall @t26 @t24)) % 0.15/0.36 (define @t48 () (not @t47)) % 0.15/0.36 (define @t49 () (@quantifiers_skolemize @t47 0)) % 0.15/0.36 (define @t50 () (tptp.cF @t49)) % 0.15/0.36 (define @t51 () (not @t50)) % 0.15/0.36 (define @t52 () (and tptp.p @t51)) % 0.15/0.36 (define @t53 () (and @t50 @t13)) % 0.15/0.36 (define @t54 () (or @t52 @t53)) % 0.15/0.36 (define @t55 () (not @t45)) % 0.15/0.36 (define @t56 () (@list false)) % 0.15/0.36 (define @t57 () (@list tptp.p)) % 0.15/0.36 (define @t58 () (tptp.cF @t46)) % 0.15/0.36 (define @t59 () (not @t58)) % 0.15/0.36 (define @t60 () (not @t59)) % 0.15/0.36 (define @t61 () (and tptp.p @t59)) % 0.15/0.36 (define @t62 () (not @t61)) % 0.15/0.36 (define @t63 () (and @t58 @t13)) % 0.15/0.36 (define @t64 () (not @t63)) % 0.15/0.36 (define @t65 () (or @t61 @t63)) % 0.15/0.36 (assume @p1 @t12) % 0.15/0.36 (assume @p2 true) % 0.15/0.36 (step @p3 :rule refl :args (@t13)) % 0.15/0.36 (step @p4 :rule refl :args (@t14)) % 0.15/0.36 (step @p5 :rule refl :args (@t2)) % 0.15/0.36 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t2 @t14))) % 0.15/0.36 (step @p7 :rule symm :premises (@p6)) % 0.15/0.36 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.15/0.36 (step @p9 :rule nary_cong :premises (@p8 @p3) :args (@t15)) % 0.15/0.36 (step @p10 :rule cong :premises (@p8) :args (@t16)) % 0.15/0.36 (step @p11 :rule refl :args (tptp.p)) % 0.15/0.36 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t17)) % 0.15/0.36 (step @p13 :rule nary_cong :premises (@p12 @p9) :args (@t18)) % 0.15/0.36 (step @p14 :rule cong :premises (@p13) :args ((forall @t6 @t18))) % 0.15/0.36 (step @p15 :rule bool-implies-de-morgan :args (@t2 tptp.p)) % 0.15/0.36 (step @p16 :rule bool-implies-de-morgan :args (tptp.p @t2)) % 0.15/0.36 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or @t20 @t19))) % 0.15/0.36 (step @p18 :rule bool-and-de-morgan :args (@t4 @t3 true)) % 0.15/0.36 (step @p19 :rule trans :premises (@p18 @p17)) % 0.15/0.36 (step @p20 :rule cong :premises (@p19) :args (@t21)) % 0.15/0.36 (step @p21 :rule trans :premises (@p20 @p14)) % 0.15/0.36 (step @p22 :rule cong :premises (@p21) :args (@t22)) % 0.15/0.36 (step @p23 :rule exists-elim :args ((= @t7 @t22))) % 0.15/0.36 (step @p24 :rule trans :premises (@p23 @p22)) % 0.15/0.36 (step @p25 :rule refl :args (@t13)) % 0.15/0.36 (step @p26 :rule refl :args (@t24)) % 0.15/0.36 (step @p27 :rule refl :args (@t25)) % 0.15/0.36 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t25 @t24))) % 0.15/0.36 (step @p29 :rule symm :premises (@p28)) % 0.15/0.36 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.15/0.36 (step @p31 :rule cong :premises (@p30) :args (@t27)) % 0.15/0.36 (step @p32 :rule nary_cong :premises (@p31 @p25) :args ((and @t27 @t13))) % 0.15/0.36 (step @p33 :rule quant-unused-vars :args ((= @t28 @t13))) % 0.15/0.36 (step @p34 :rule alpha_equiv :args (@t29 @t30 (@list @t23))) % 0.15/0.36 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t31)) % 0.15/0.36 (step @p36 :rule quant-miniscope-and :args ((= (forall @t6 @t15) @t31))) % 0.15/0.36 (step @p37 :rule trans :premises (@p36 @p35)) % 0.15/0.36 (step @p38 :rule trans :premises (@p37 @p32)) % 0.15/0.36 (step @p39 :rule cong :premises (@p15) :args (@t32)) % 0.15/0.36 (step @p40 :rule trans :premises (@p39 @p38)) % 0.15/0.36 (step @p41 :rule cong :premises (@p40) :args (@t33)) % 0.15/0.36 (step @p42 :rule exists-elim :args ((= @t8 @t33))) % 0.15/0.36 (step @p43 :rule trans :premises (@p42 @p41)) % 0.15/0.36 (step @p44 :rule refl :args (@t35)) % 0.15/0.36 (step @p45 :rule refl :args (@t36)) % 0.15/0.36 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t36 @t35))) % 0.15/0.36 (step @p47 :rule symm :premises (@p46)) % 0.15/0.36 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.15/0.36 (step @p49 :rule cong :premises (@p48) :args (@t37)) % 0.15/0.36 (step @p50 :rule cong :premises (@p49) :args (@t39)) % 0.15/0.36 (step @p51 :rule refl :args (tptp.p)) % 0.15/0.36 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((and tptp.p @t39))) % 0.15/0.36 (step @p53 :rule alpha_equiv :args (@t40 @t30 (@list @t34))) % 0.15/0.36 (step @p54 :rule quant-unused-vars :args ((= @t41 tptp.p))) % 0.15/0.36 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t42)) % 0.15/0.36 (step @p56 :rule quant-miniscope-and :args ((= (forall @t6 @t17) @t42))) % 0.15/0.36 (step @p57 :rule trans :premises (@p56 @p55)) % 0.15/0.36 (step @p58 :rule trans :premises (@p57 @p52)) % 0.15/0.36 (step @p59 :rule cong :premises (@p16) :args (@t43)) % 0.15/0.36 (step @p60 :rule trans :premises (@p59 @p58)) % 0.15/0.36 (step @p61 :rule cong :premises (@p60) :args (@t44)) % 0.15/0.36 (step @p62 :rule exists-elim :args ((= @t9 @t44))) % 0.15/0.36 (step @p63 :rule trans :premises (@p62 @p61)) % 0.15/0.36 (step @p64 :rule nary_cong :premises (@p63 @p43) :args (@t10)) % 0.15/0.36 (step @p65 :rule cong :premises (@p64 @p24) :args (@t11)) % 0.15/0.36 (step @p66 :rule cong :premises (@p65) :args (@t12)) % 0.15/0.36 (step @p67 :rule eq_resolve :premises (@p1 @p66)) % 0.15/0.36 (step @p68 :rule not_implies_elim2 :premises (@p67)) % 0.15/0.36 (step @p69 :rule not_not_elim :premises (@p68)) % 0.15/0.36 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t46))) % 0.15/0.36 (step @p71 :rule bool-double-not-elim :args (tptp.p)) % 0.15/0.36 (step @p72 :rule refl :args (@t48)) % 0.15/0.36 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t48 (not @t13)))) % 0.15/0.36 (step @p74 :rule not_implies_elim1 :premises (@p67)) % 0.15/0.36 (step @p75 :rule and_elim :premises (@p74) :args (1)) % 0.15/0.36 (step @p76 :rule not_and :premises (@p75)) % 0.15/0.36 (step @p77 :rule eq_resolve :premises (@p76 @p73)) % 0.15/0.36 (step @p78 :rule reordering :premises (@p77) :args ((or tptp.p @t48))) % 0.15/0.36 (step @p79 :rule cnf_and_pos :args (@t52 0)) % 0.15/0.36 (step @p80 :rule reordering :premises (@p79) :args ((or tptp.p (not @t52)))) % 0.15/0.36 (step @p81 :rule refl :args (@t51)) % 0.15/0.36 (step @p82 :rule bool-double-not-elim :args (@t47)) % 0.15/0.36 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t48) @t51))) % 0.15/0.36 (assume-push @p122 @t48) % 0.15/0.36 (step @p85 :rule skolemize :premises (@p122)) % 0.15/0.36 (step-pop @p123 :rule scope :premises (@p85)) % 0.15/0.36 (step @p86 :rule process_scope :premises (@p123) :args (@t51)) % 0.15/0.36 (step @p88 :rule implies_elim :premises (@p86)) % 0.15/0.36 (step @p89 :rule eq_resolve :premises (@p88 @p83)) % 0.15/0.36 (step @p90 :rule instantiate :premises (@p69) :args ((@list @t49))) % 0.15/0.36 (step @p91 :rule cnf_or_pos :args (@t54)) % 0.15/0.36 (step @p92 :rule reordering :premises (@p91) :args ((or @t52 @t53 (not @t54)))) % 0.15/0.36 (step @p93 :rule cnf_and_pos :args (@t53 0)) % 0.15/0.36 (step @p94 :rule reordering :premises (@p93) :args ((or @t50 (not @t53)))) % 0.15/0.36 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p90 @p89 @p80 @p78) :args (tptp.p (@list false false true true true) (@list @t53 @t54 @t50 @t52 @t47))) % 0.15/0.36 (step @p96 :rule and_elim :premises (@p74) :args (0)) % 0.15/0.36 (step @p97 :rule not_and :premises (@p96)) % 0.15/0.36 (step @p98 :rule chain_m_resolution :premises (@p97 @p95) :args (@t55 @t56 @t57)) % 0.15/0.36 (step @p99 :rule refl :args (@t58)) % 0.15/0.36 (step @p100 :rule bool-double-not-elim :args (@t45)) % 0.15/0.36 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or (not @t55) @t58))) % 0.15/0.36 (step @p102 :rule bool-double-not-elim :args (@t58)) % 0.15/0.36 (step @p103 :rule refl :args (@t55)) % 0.15/0.36 (step @p104 :rule cong :premises (@p103 @p102) :args ((=> @t55 @t60))) % 0.15/0.36 (assume-push @p124 @t55) % 0.15/0.36 (step @p106 :rule skolemize :premises (@p124)) % 0.15/0.36 (step-pop @p125 :rule scope :premises (@p106)) % 0.15/0.36 (step @p107 :rule process_scope :premises (@p125) :args (@t60)) % 0.15/0.36 (step @p109 :rule eq_resolve :premises (@p107 @p104)) % 0.15/0.36 (step @p110 :rule implies_elim :premises (@p109)) % 0.15/0.36 (step @p111 :rule eq_resolve :premises (@p110 @p101)) % 0.15/0.36 (step @p112 :rule chain_m_resolution :premises (@p111 @p98) :args (@t58 (@list true) (@list @t45))) % 0.15/0.36 (step @p113 :rule cnf_and_pos :args (@t61 1)) % 0.15/0.36 (step @p114 :rule reordering :premises (@p113) :args ((or @t59 @t62))) % 0.15/0.36 (step @p115 :rule chain_m_resolution :premises (@p114 @p112) :args (@t62 @t56 (@list @t58))) % 0.15/0.36 (step @p116 :rule cnf_and_pos :args (@t63 1)) % 0.15/0.36 (step @p117 :rule reordering :premises (@p116) :args ((or @t13 @t64))) % 0.15/0.36 (step @p118 :rule chain_m_resolution :premises (@p117 @p95) :args (@t64 @t56 @t57)) % 0.15/0.36 (step @p119 :rule cnf_or_pos :args (@t65)) % 0.15/0.36 (step @p120 :rule reordering :premises (@p119) :args ((or @t61 @t63 (not @t65)))) % 0.15/0.36 (step @p121 false :rule chain_m_resolution :premises (@p120 @p118 @p115 @p70) :args (false (@list true true false) (@list @t63 @t61 @t65))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------