%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM802^5 : 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 : n028.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 08:40:43 AM UTC 2026 % Result : Theorem 121.37s 121.75s % Output : Proof 121.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM802^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.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 12:24:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 121.37/121.75 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 121.37/121.75 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 121.37/121.75 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 121.37/121.75 % SZS status Theorem % 121.37/121.75 % SZS output start Proof % 121.37/121.75 ( % 121.37/121.75 (declare-sort $$unsorted 0) % 121.37/121.75 (declare-const tptp.c_less_ (-> $$unsorted $$unsorted Bool)) % 121.37/121.75 (declare-const tptp.c0 $$unsorted) % 121.37/121.75 (declare-const tptp.absval (-> $$unsorted $$unsorted)) % 121.37/121.75 (declare-const tptp.c_2 $$unsorted) % 121.37/121.75 (define @t1 () (@var "A" (-> $$unsorted Bool))) % 121.37/121.75 (define @t2 () (_ @t1 tptp.c_2)) % 121.37/121.75 (define @t3 () (@var "Xy" $$unsorted)) % 121.37/121.75 (define @t4 () (_ tptp.absval @t3)) % 121.37/121.75 (define @t5 () (_ @t1 @t4)) % 121.37/121.75 (define @t6 () (not @t5)) % 121.37/121.75 (define @t7 () (@list @t3)) % 121.37/121.75 (define @t8 () (forall @t7 @t6)) % 121.37/121.75 (define @t9 () (and @t8 @t2)) % 121.37/121.75 (define @t10 () (@list @t1)) % 121.37/121.75 (define @t11 () (exists @t10 @t9)) % 121.37/121.75 (define @t12 () (@var "Xv" $$unsorted)) % 121.37/121.75 (define @t13 () (_ tptp.absval @t12)) % 121.37/121.75 (define @t14 () (@var "Xu" $$unsorted)) % 121.37/121.75 (define @t15 () (= @t14 @t13)) % 121.37/121.75 (define @t16 () (not @t15)) % 121.37/121.75 (define @t17 () (_ (_ tptp.c_less_ @t14) tptp.c0)) % 121.37/121.75 (define @t18 () (@list @t14 @t12)) % 121.37/121.75 (define @t19 () (forall @t18 (=> @t17 @t16))) % 121.37/121.75 (define @t20 () (=> @t19 @t11)) % 121.37/121.75 (define @t21 () (_ (_ tptp.c_less_ tptp.c_2) tptp.c0)) % 121.37/121.75 (define @t22 () (=> @t21 @t20)) % 121.37/121.75 (define @t23 () (not @t22)) % 121.37/121.75 (define @t24 () (_ @t1 tptp.c_2)) % 121.37/121.75 (define @t25 () (tptp.absval @t3)) % 121.37/121.75 (define @t26 () (_ @t1 @t25)) % 121.37/121.75 (define @t27 () (forall @t7 (not @t26))) % 121.37/121.75 (define @t28 () (not @t27)) % 121.37/121.75 (define @t29 () (forall @t10 (or @t28 (not @t24)))) % 121.37/121.75 (define @t30 () (tptp.absval @t12)) % 121.37/121.75 (define @t31 () (not (tptp.c_less_ @t30 tptp.c0))) % 121.37/121.75 (define @t32 () (@list @t12)) % 121.37/121.75 (define @t33 () (=> (forall @t32 @t31) (not @t29))) % 121.37/121.75 (define @t34 () (tptp.c_less_ tptp.c_2 tptp.c0)) % 121.37/121.75 (define @t35 () (=> @t21 @t33)) % 121.37/121.75 (define @t36 () (not @t2)) % 121.37/121.75 (define @t37 () (or @t28 @t36)) % 121.37/121.75 (define @t38 () (and @t27 @t2)) % 121.37/121.75 (define @t39 () (forall @t10 (not @t38))) % 121.37/121.75 (define @t40 () (not @t39)) % 121.37/121.75 (define @t41 () (not (= @t30 @t30))) % 121.37/121.75 (define @t42 () (or @t31 @t41)) % 121.37/121.75 (define @t43 () (not (= @t14 @t30))) % 121.37/121.75 (define @t44 () (tptp.c_less_ @t14 tptp.c0)) % 121.37/121.75 (define @t45 () (not @t44)) % 121.37/121.75 (define @t46 () (or @t43 @t45 @t43)) % 121.37/121.75 (define @t47 () (@list @t14)) % 121.37/121.75 (define @t48 () (or @t45 @t43)) % 121.37/121.75 (define @t49 () (forall @t47 @t48)) % 121.37/121.75 (define @t50 () (forall @t32 @t49)) % 121.37/121.75 (define @t51 () (forall (@list @t12 @t14) @t48)) % 121.37/121.75 (define @t52 () (not @t17)) % 121.37/121.75 (define @t53 () (or @t52 @t16)) % 121.37/121.75 (define @t54 () (forall @t7 (not (= tptp.c_2 @t25)))) % 121.37/121.75 (define @t55 () (@quantifiers_skolemize @t54 0)) % 121.37/121.75 (define @t56 () (not @t54)) % 121.37/121.75 (define @t57 () (@var "BOUND_VARIABLE_35931" $$unsorted)) % 121.37/121.75 (define @t58 () (lambda (@list @t57) (= @t57 tptp.c_2))) % 121.37/121.75 (define @t59 () (_ @t58 tptp.c_2)) % 121.37/121.75 (define @t60 () (not @t59)) % 121.37/121.75 (define @t61 () (_ @t58 @t25)) % 121.37/121.75 (define @t62 () (not @t61)) % 121.37/121.75 (define @t63 () (forall @t7 @t62)) % 121.37/121.75 (define @t64 () (not @t63)) % 121.37/121.75 (define @t65 () (or @t64 @t60)) % 121.37/121.75 (define @t66 () (= tptp.c_2 (tptp.absval @t55))) % 121.37/121.75 (define @t67 () (not (not @t66))) % 121.37/121.75 (assume @p1 @t23) % 121.37/121.75 (assume @p2 true) % 121.37/121.75 (step @p3 :rule evaluate :args ((= true false))) % 121.37/121.75 (step @p4 :rule refl :args (@t33)) % 121.37/121.75 (step @p5 :rule refl :args (@t34)) % 121.37/121.75 (step @p6 :rule refl :args (@t21)) % 121.37/121.75 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t21 @t34))) % 121.37/121.75 (step @p8 :rule symm :premises (@p7)) % 121.37/121.75 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 121.37/121.75 (step @p10 :rule cong :premises (@p9 @p4) :args (@t35)) % 121.37/121.75 (step @p11 :rule cong :premises (@p10) :args ((not @t35))) % 121.37/121.75 (step @p12 :rule refl :args (@t24)) % 121.37/121.75 (step @p13 :rule refl :args (@t2)) % 121.37/121.75 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t2 @t24))) % 121.37/121.75 (step @p15 :rule symm :premises (@p14)) % 121.37/121.75 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 121.37/121.75 (step @p17 :rule cong :premises (@p16) :args (@t36)) % 121.37/121.75 (step @p18 :rule refl :args (@t28)) % 121.37/121.75 (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t37)) % 121.37/121.75 (step @p20 :rule cong :premises (@p19) :args ((forall @t10 @t37))) % 121.37/121.75 (step @p21 :rule bool-and-de-morgan :args (@t27 @t2 true)) % 121.37/121.75 (step @p22 :rule cong :premises (@p21) :args (@t39)) % 121.37/121.75 (step @p23 :rule trans :premises (@p22 @p20)) % 121.37/121.75 (step @p24 :rule cong :premises (@p23) :args (@t40)) % 121.37/121.75 (step @p25 :rule exists-elim :args ((= (exists @t10 @t38) @t40))) % 121.37/121.75 (step @p26 :rule trans :premises (@p25 @p24)) % 121.37/121.75 (step @p27 :rule refl :args (@t2)) % 121.37/121.75 (step @p28 :rule refl :args ((_ @t1 @t4))) % 121.37/121.75 (step @p29 :rule refl :args (@t25)) % 121.37/121.75 (step @p30 :rule cong :premises (@p29) :args (@t26)) % 121.37/121.75 (step @p31 :rule trans :premises (@p30 @p28)) % 121.37/121.75 (step @p32 :rule refl :args (@t1)) % 121.37/121.75 (step @p33 :rule ho_cong :premises (@p32 @p29)) % 121.37/121.75 (step @p34 :rule cong :premises (@p33 @p31) :args ((= (_ @t1 @t25) @t26))) % 121.37/121.75 (step @p35 :rule symm :premises (@p34)) % 121.37/121.75 (step @p36 :rule refl :args (@t5)) % 121.37/121.75 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 121.37/121.75 (step @p38 :rule refl :args (@t4)) % 121.37/121.75 (step @p39 :rule cong :premises (@p38 @p29) :args ((= @t4 @t25))) % 121.37/121.75 (step @p40 :rule symm :premises (@p39)) % 121.37/121.75 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 121.37/121.75 (step @p42 :rule ho_cong :premises (@p32 @p41)) % 121.37/121.75 (step @p43 :rule trans :premises (@p42 @p37)) % 121.37/121.75 (step @p44 :rule cong :premises (@p43) :args (@t6)) % 121.37/121.75 (step @p45 :rule cong :premises (@p44) :args (@t8)) % 121.37/121.75 (step @p46 :rule nary_cong :premises (@p45 @p27) :args (@t9)) % 121.37/121.75 (step @p47 :rule cong :premises (@p46) :args (@t11)) % 121.37/121.75 (step @p48 :rule trans :premises (@p47 @p26)) % 121.37/121.75 (step @p49 :rule aci_norm :args ((= (or @t31 false) @t31))) % 121.37/121.75 (step @p50 :rule evaluate :args ((not true))) % 121.37/121.75 (step @p51 :rule eq-refl :args (@t30)) % 121.37/121.75 (step @p52 :rule cong :premises (@p51) :args (@t41)) % 121.37/121.75 (step @p53 :rule trans :premises (@p52 @p50)) % 121.37/121.75 (step @p54 :rule refl :args (@t31)) % 121.37/121.75 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t42)) % 121.37/121.75 (step @p56 :rule trans :premises (@p55 @p49)) % 121.37/121.75 (step @p57 :rule cong :premises (@p56) :args ((forall @t32 @t42))) % 121.37/121.75 (step @p58 :rule quant-var-elim-eq :args ((= (forall @t47 @t46) @t42))) % 121.37/121.75 (step @p59 :rule aci_norm :args ((= @t48 @t46))) % 121.37/121.75 (step @p60 :rule cong :premises (@p59) :args (@t49)) % 121.37/121.75 (step @p61 :rule trans :premises (@p60 @p58)) % 121.37/121.75 (step @p62 :rule cong :premises (@p61) :args (@t50)) % 121.37/121.75 (step @p63 :rule quant-merge-prenex :args ((= @t50 @t51))) % 121.37/121.75 (step @p64 :rule symm :premises (@p63)) % 121.37/121.75 (step @p65 :rule quant_var_reordering :args ((= (forall @t18 @t48) @t51))) % 121.37/121.75 (step @p66 :rule trans :premises (@p65 @p64 @p62)) % 121.37/121.75 (step @p67 :rule trans :premises (@p66 @p57)) % 121.37/121.75 (step @p68 :rule refl :args (@t30)) % 121.37/121.75 (step @p69 :rule refl :args (@t13)) % 121.37/121.75 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t13 @t30))) % 121.37/121.75 (step @p71 :rule symm :premises (@p70)) % 121.37/121.75 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 121.37/121.75 (step @p73 :rule refl :args (@t14)) % 121.37/121.75 (step @p74 :rule cong :premises (@p73 @p72) :args (@t15)) % 121.37/121.75 (step @p75 :rule cong :premises (@p74) :args (@t16)) % 121.37/121.75 (step @p76 :rule refl :args (@t44)) % 121.37/121.75 (step @p77 :rule refl :args (@t17)) % 121.37/121.75 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t17 @t44))) % 121.37/121.75 (step @p79 :rule symm :premises (@p78)) % 121.37/121.75 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 121.37/121.75 (step @p81 :rule cong :premises (@p80) :args (@t52)) % 121.37/121.75 (step @p82 :rule nary_cong :premises (@p81 @p75) :args (@t53)) % 121.37/121.75 (step @p83 :rule cong :premises (@p82) :args ((forall @t18 @t53))) % 121.37/121.75 (step @p84 :rule trans :premises (@p83 @p67)) % 121.37/121.75 (step @p85 :rule bool-impl-elim :args (@t17 @t16)) % 121.37/121.75 (step @p86 :rule cong :premises (@p85) :args (@t19)) % 121.37/121.75 (step @p87 :rule trans :premises (@p86 @p84)) % 121.37/121.75 (step @p88 :rule cong :premises (@p87 @p48) :args (@t20)) % 121.37/121.75 (step @p89 :rule refl :args (@t21)) % 121.37/121.75 (step @p90 :rule cong :premises (@p89 @p88) :args (@t22)) % 121.37/121.75 (step @p91 :rule cong :premises (@p90) :args (@t23)) % 121.37/121.75 (step @p92 :rule trans :premises (@p91 @p11)) % 121.37/121.75 (step @p93 :rule eq_resolve :premises (@p1 @p92)) % 121.37/121.75 (step @p94 :rule not_implies_elim2 :premises (@p93)) % 121.37/121.75 (step @p95 :rule not_implies_elim1 :premises (@p94)) % 121.37/121.75 (step @p96 :rule instantiate :premises (@p95) :args ((@list @t55))) % 121.37/121.75 (step @p97 :rule false_intro :premises (@p96)) % 121.37/121.75 (step @p98 :rule refl :args (tptp.c0)) % 121.37/121.75 (step @p99 :rule not_implies_elim2 :premises (@p94)) % 121.37/121.75 (step @p100 :rule not_not_elim :premises (@p99)) % 121.37/121.75 (step @p101 :rule aci_norm :args ((= (or @t56 false) @t56))) % 121.37/121.75 (step @p102 :rule eq-refl :args (tptp.c_2)) % 121.37/121.75 (step @p103 :rule beta-reduce :args ((= @t59 (= tptp.c_2 tptp.c_2)))) % 121.37/121.75 (step @p104 :rule trans :premises (@p103 @p102)) % 121.37/121.75 (step @p105 :rule cong :premises (@p104) :args (@t60)) % 121.37/121.75 (step @p106 :rule trans :premises (@p105 @p50)) % 121.37/121.75 (step @p107 :rule eq-symm :args (@t25 tptp.c_2)) % 121.37/121.75 (step @p108 :rule beta-reduce :args ((= @t61 (= @t25 tptp.c_2)))) % 121.37/121.75 (step @p109 :rule trans :premises (@p108 @p107)) % 121.37/121.75 (step @p110 :rule cong :premises (@p109) :args (@t62)) % 121.37/121.75 (step @p111 :rule cong :premises (@p110) :args (@t63)) % 121.37/121.75 (step @p112 :rule cong :premises (@p111) :args (@t64)) % 121.37/121.75 (step @p113 :rule nary_cong :premises (@p112 @p106) :args (@t65)) % 121.37/121.75 (step @p114 :rule trans :premises (@p113 @p101)) % 121.37/121.75 (step @p115 :rule refl :args (@t29)) % 121.37/121.75 (step @p116 :rule cong :premises (@p115 @p114) :args ((=> @t29 @t65))) % 121.37/121.75 (assume-push @p144 @t29) % 121.37/121.75 (step @p118 :rule instantiate :premises (@p100) :args ((@list @t58))) % 121.37/121.75 (step-pop @p145 :rule scope :premises (@p118)) % 121.37/121.75 (step @p119 :rule process_scope :premises (@p145) :args (@t65)) % 121.37/121.75 (step @p121 :rule eq_resolve :premises (@p119 @p116)) % 121.37/121.75 (step @p122 :rule implies_elim :premises (@p121)) % 121.37/121.75 (step @p123 :rule chain_m_resolution :premises (@p122 @p100) :args (@t56 (@list false) (@list @t29))) % 121.37/121.75 (step @p124 :rule refl :args (@t66)) % 121.37/121.75 (step @p125 :rule bool-double-not-elim :args (@t54)) % 121.37/121.75 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or (not @t56) @t66))) % 121.37/121.75 (step @p127 :rule bool-double-not-elim :args (@t66)) % 121.37/121.75 (step @p128 :rule refl :args (@t56)) % 121.37/121.75 (step @p129 :rule cong :premises (@p128 @p127) :args ((=> @t56 @t67))) % 121.37/121.75 (assume-push @p146 @t56) % 121.37/121.75 (step @p131 :rule skolemize :premises (@p123)) % 121.37/121.75 (step-pop @p147 :rule scope :premises (@p131)) % 121.37/121.75 (step @p132 :rule process_scope :premises (@p147) :args (@t67)) % 121.37/121.75 (step @p134 :rule eq_resolve :premises (@p132 @p129)) % 121.37/121.75 (step @p135 :rule implies_elim :premises (@p134)) % 121.37/121.75 (step @p136 :rule eq_resolve :premises (@p135 @p126)) % 121.37/121.75 (step @p137 :rule chain_m_resolution :premises (@p136 @p123) :args (@t66 (@list true) (@list @t54))) % 121.37/121.75 (step @p138 :rule cong :premises (@p137 @p98) :args (@t34)) % 121.37/121.75 (step @p139 :rule not_implies_elim1 :premises (@p93)) % 121.37/121.75 (step @p140 :rule true_intro :premises (@p139)) % 121.37/121.75 (step @p141 :rule symm :premises (@p140)) % 121.37/121.75 (step @p142 :rule trans :premises (@p141 @p138 @p97)) % 121.37/121.75 (step @p143 false :rule eq_resolve :premises (@p142 @p3)) % 121.37/121.75 ) % 121.37/121.75 % SZS output end Proof % 121.37/121.75 % cvc5 exiting %------------------------------------------------------------------------------