%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU826^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:53:23 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU826^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.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 17:55:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.b (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.a (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.c (-> $$unsorted Bool)) % 0.37/0.56 (define tptp.seteq () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2) (forall (@list _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1)))))))) % 0.37/0.56 (define tptp.u () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.56 (define tptp.n () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.37/0.56 (define @t1 () (_ tptp.u tptp.a)) % 0.37/0.56 (define @t2 () (not (_ (_ tptp.seteq (_ @t1 (_ (_ tptp.n tptp.b) tptp.c))) (_ (_ tptp.n (_ @t1 tptp.b)) (_ @t1 tptp.c))))) % 0.37/0.56 (define @t3 () (@var "U" $$unsorted)) % 0.37/0.56 (define @t4 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.56 (define @t5 () (_ @t4 @t3)) % 0.37/0.56 (define @t6 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.56 (define @t7 () (_ @t6 @t3)) % 0.37/0.56 (define @t8 () (= @t7 @t5)) % 0.37/0.56 (define @t9 () (@list @t3)) % 0.37/0.56 (define @t10 () (forall @t9 @t8)) % 0.37/0.56 (define @t11 () (@list @t6 @t4)) % 0.37/0.56 (define @t12 () (lambda @t11 @t10)) % 0.37/0.56 (define @t13 () (@list @t6 @t4 @t3)) % 0.37/0.56 (define @t14 () (lambda @t13 (or @t7 @t5))) % 0.37/0.56 (define @t15 () (lambda @t13 (and @t7 @t5))) % 0.37/0.56 (define @t16 () (tptp.c @t3)) % 0.37/0.56 (define @t17 () (_ tptp.c @t3)) % 0.37/0.56 (define @t18 () (tptp.a @t3)) % 0.37/0.56 (define @t19 () (_ tptp.a @t3)) % 0.37/0.56 (define @t20 () (or @t19 @t17)) % 0.37/0.56 (define @t21 () (tptp.b @t3)) % 0.37/0.56 (define @t22 () (_ tptp.b @t3)) % 0.37/0.56 (define @t23 () (or @t19 @t22)) % 0.37/0.56 (define @t24 () (and @t23 @t20)) % 0.37/0.56 (define @t25 () (or @t18 (and @t21 @t16))) % 0.37/0.56 (define @t26 () (= @t25 @t24)) % 0.37/0.56 (define @t27 () (lambda @t9 @t24)) % 0.37/0.56 (define @t28 () (_ @t27 @t3)) % 0.37/0.56 (define @t29 () (forall @t9 (= @t28 @t25))) % 0.37/0.56 (define @t30 () (_ @t4 @t3)) % 0.37/0.56 (define @t31 () (@list @t4)) % 0.37/0.56 (define @t32 () (lambda @t9 @t20)) % 0.37/0.56 (define @t33 () (_ @t32 @t3)) % 0.37/0.56 (define @t34 () (and @t23 @t33)) % 0.37/0.56 (define @t35 () (lambda @t9 @t34)) % 0.37/0.56 (define @t36 () (@list @t4 @t3)) % 0.37/0.56 (define @t37 () (lambda @t36 (or @t19 @t5))) % 0.37/0.56 (define @t38 () (_ @t14 tptp.a)) % 0.37/0.56 (define @t39 () (lambda @t9 @t23)) % 0.37/0.56 (define @t40 () (_ @t39 @t3)) % 0.37/0.56 (define @t41 () (and @t40 @t5)) % 0.37/0.56 (define @t42 () (lambda @t36 @t41)) % 0.37/0.56 (define @t43 () (and @t22 @t17)) % 0.37/0.56 (define @t44 () (or @t19 @t43)) % 0.37/0.56 (define @t45 () (= @t30 @t44)) % 0.37/0.56 (define @t46 () (lambda @t9 @t44)) % 0.37/0.56 (define @t47 () (_ @t46 @t3)) % 0.37/0.56 (define @t48 () (forall @t9 (= @t47 @t30))) % 0.37/0.56 (define @t49 () (lambda @t31 @t48)) % 0.37/0.56 (define @t50 () (_ @t6 @t3)) % 0.37/0.56 (define @t51 () (lambda @t11 (forall @t9 (= @t50 @t30)))) % 0.37/0.56 (define @t52 () (lambda @t9 @t43)) % 0.37/0.56 (define @t53 () (_ @t52 @t3)) % 0.37/0.56 (define @t54 () (or @t19 @t53)) % 0.37/0.56 (define @t55 () (lambda @t9 @t54)) % 0.37/0.56 (define @t56 () (lambda @t36 (and @t22 @t5))) % 0.37/0.56 (define @t57 () (_ @t15 tptp.b)) % 0.37/0.56 (define @t58 () (@quantifiers_skolemize (forall @t9 (= @t25 (and (or @t18 @t21) (or @t18 @t16)))) 0)) % 0.37/0.56 (define @t59 () (tptp.c @t58)) % 0.37/0.56 (define @t60 () (tptp.b @t58)) % 0.37/0.56 (define @t61 () (and @t60 @t59)) % 0.37/0.56 (define @t62 () (not @t61)) % 0.37/0.56 (define @t63 () (tptp.a @t58)) % 0.37/0.56 (define @t64 () (or @t63 @t61)) % 0.37/0.56 (define @t65 () (or @t63 @t60)) % 0.37/0.56 (define @t66 () (or @t63 @t59)) % 0.37/0.56 (define @t67 () (and @t65 @t66)) % 0.37/0.56 (define @t68 () (= @t64 @t67)) % 0.37/0.56 (define @t69 () (not @t64)) % 0.37/0.56 (define @t70 () (not @t67)) % 0.37/0.56 (define @t71 () (not @t60)) % 0.37/0.56 (define @t72 () (@list true)) % 0.37/0.56 (define @t73 () (@list true true)) % 0.37/0.56 (define @t74 () (not @t65)) % 0.37/0.56 (assume @p1 @t2) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 (= tptp.seteq @t12) :rule refl :args (@t12)) % 0.37/0.56 (step @p4 (= tptp.u @t14) :rule refl :args (@t14)) % 0.37/0.56 (step @p5 (= tptp.n @t15) :rule refl :args (@t15)) % 0.37/0.56 (step @p6 :rule refl :args (@t16)) % 0.37/0.56 (step @p7 :rule refl :args (@t17)) % 0.37/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t17 @t16))) % 0.37/0.56 (step @p9 :rule symm :premises (@p8)) % 0.37/0.56 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.37/0.56 (step @p11 :rule refl :args (@t18)) % 0.37/0.56 (step @p12 :rule refl :args (@t19)) % 0.37/0.56 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t19 @t18))) % 0.37/0.56 (step @p14 :rule symm :premises (@p13)) % 0.37/0.56 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.37/0.56 (step @p16 :rule nary_cong :premises (@p15 @p10) :args (@t20)) % 0.37/0.56 (step @p17 :rule refl :args (@t21)) % 0.37/0.56 (step @p18 :rule refl :args (@t22)) % 0.37/0.56 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t22 @t21))) % 0.37/0.56 (step @p20 :rule symm :premises (@p19)) % 0.37/0.56 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.37/0.56 (step @p22 :rule nary_cong :premises (@p15 @p21) :args (@t23)) % 0.37/0.56 (step @p23 :rule nary_cong :premises (@p22 @p16) :args (@t24)) % 0.37/0.56 (step @p24 :rule refl :args (@t25)) % 0.37/0.56 (step @p25 :rule cong :premises (@p24 @p23) :args (@t26)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25) :args ((forall @t9 @t26))) % 0.37/0.56 (step @p27 :rule beta-reduce :args ((= @t28 @t24))) % 0.37/0.56 (step @p28 :rule refl :args (@t25)) % 0.37/0.56 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t25 @t28))) % 0.37/0.56 (step @p30 :rule eq-symm :args (@t28 @t25)) % 0.37/0.56 (step @p31 :rule trans :premises (@p30 @p29)) % 0.37/0.56 (step @p32 :rule cong :premises (@p31) :args (@t29)) % 0.37/0.56 (step @p33 :rule trans :premises (@p32 @p26)) % 0.37/0.56 (step @p34 :rule beta-reduce :args ((= (_ (lambda @t31 (forall @t9 (= @t30 @t25))) @t27) @t29))) % 0.37/0.56 (step @p35 :rule trans :premises (@p34 @p33)) % 0.37/0.56 (step @p36 :rule beta-reduce :args ((= @t33 @t20))) % 0.37/0.56 (step @p37 :rule refl :args (@t23)) % 0.37/0.56 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t34)) % 0.37/0.56 (step @p39 :rule cong :premises (@p38) :args (@t35)) % 0.37/0.56 (step @p40 :rule beta-reduce :args ((= (_ (lambda @t36 (and @t23 @t5)) @t32) @t35))) % 0.37/0.56 (step @p41 :rule trans :premises (@p40 @p39)) % 0.37/0.56 (step @p42 :rule beta-reduce :args ((= (_ @t37 tptp.c) @t32))) % 0.37/0.56 (step @p43 :rule refl :args (tptp.c)) % 0.37/0.56 (step @p44 :rule beta-reduce :args ((= @t38 @t37))) % 0.37/0.56 (step @p45 :rule ho_cong :premises (@p44 @p43)) % 0.37/0.56 (step @p46 :rule trans :premises (@p45 @p42)) % 0.37/0.56 (step @p47 :rule refl :args (@t5)) % 0.37/0.56 (step @p48 :rule beta-reduce :args ((= @t40 @t23))) % 0.37/0.56 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t41)) % 0.37/0.56 (step @p50 :rule cong :premises (@p49) :args (@t42)) % 0.37/0.56 (step @p51 :rule beta-reduce :args ((= (_ @t15 @t39) @t42))) % 0.37/0.56 (step @p52 :rule trans :premises (@p51 @p50)) % 0.37/0.56 (step @p53 :rule beta-reduce :args ((= (_ @t37 tptp.b) @t39))) % 0.37/0.56 (step @p54 :rule refl :args (tptp.b)) % 0.37/0.56 (step @p55 :rule ho_cong :premises (@p44 @p54)) % 0.37/0.56 (step @p56 :rule trans :premises (@p55 @p53)) % 0.37/0.56 (step @p57 :rule refl :args (@t15)) % 0.37/0.56 (step @p58 :rule ho_cong :premises (@p57 @p56)) % 0.37/0.56 (step @p59 :rule trans :premises (@p58 @p52)) % 0.37/0.56 (step @p60 :rule ho_cong :premises (@p59 @p46)) % 0.37/0.56 (step @p61 :rule trans :premises (@p60 @p41)) % 0.37/0.56 (step @p62 :rule nary_cong :premises (@p21 @p10) :args (@t43)) % 0.37/0.56 (step @p63 :rule nary_cong :premises (@p15 @p62) :args (@t44)) % 0.37/0.56 (step @p64 :rule refl :args (@t30)) % 0.37/0.56 (step @p65 :rule cong :premises (@p64 @p63) :args (@t45)) % 0.37/0.56 (step @p66 :rule cong :premises (@p65) :args ((forall @t9 @t45))) % 0.37/0.56 (step @p67 :rule beta-reduce :args ((= @t47 @t44))) % 0.37/0.56 (step @p68 :rule refl :args (@t30)) % 0.37/0.56 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t30 @t47))) % 0.37/0.56 (step @p70 :rule eq-symm :args (@t47 @t30)) % 0.37/0.56 (step @p71 :rule trans :premises (@p70 @p69)) % 0.37/0.56 (step @p72 :rule cong :premises (@p71) :args (@t48)) % 0.37/0.56 (step @p73 :rule trans :premises (@p72 @p66)) % 0.37/0.56 (step @p74 :rule cong :premises (@p73) :args (@t49)) % 0.37/0.56 (step @p75 :rule beta-reduce :args ((= (_ @t51 @t46) @t49))) % 0.37/0.56 (step @p76 :rule trans :premises (@p75 @p74)) % 0.37/0.56 (step @p77 :rule beta-reduce :args ((= @t53 @t43))) % 0.37/0.56 (step @p78 :rule refl :args (@t19)) % 0.37/0.56 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t54)) % 0.37/0.56 (step @p80 :rule cong :premises (@p79) :args (@t55)) % 0.37/0.56 (step @p81 :rule beta-reduce :args ((= (_ @t37 @t52) @t55))) % 0.37/0.56 (step @p82 :rule trans :premises (@p81 @p80)) % 0.37/0.56 (step @p83 :rule beta-reduce :args ((= (_ @t56 tptp.c) @t52))) % 0.37/0.56 (step @p84 :rule beta-reduce :args ((= @t57 @t56))) % 0.37/0.56 (step @p85 :rule ho_cong :premises (@p84 @p43)) % 0.37/0.56 (step @p86 :rule trans :premises (@p85 @p83)) % 0.37/0.56 (step @p87 :rule ho_cong :premises (@p44 @p86)) % 0.37/0.56 (step @p88 :rule trans :premises (@p87 @p82)) % 0.37/0.56 (step @p89 :rule refl :args (@t51)) % 0.37/0.56 (step @p90 :rule ho_cong :premises (@p89 @p88)) % 0.37/0.56 (step @p91 :rule trans :premises (@p90 @p76)) % 0.37/0.56 (step @p92 :rule ho_cong :premises (@p91 @p61)) % 0.37/0.56 (step @p93 :rule trans :premises (@p92 @p35)) % 0.37/0.56 (step @p94 :rule cong :premises (@p93) :args ((not (_ (_ @t51 (_ @t38 (_ @t57 tptp.c))) (_ (_ @t15 (_ @t38 tptp.b)) (_ @t38 tptp.c)))))) % 0.37/0.56 (step @p95 :rule refl :args (tptp.a)) % 0.37/0.56 (step @p96 :rule ho_cong :premises (@p4 @p95)) % 0.37/0.56 (step @p97 :rule ho_cong :premises (@p96 @p43)) % 0.37/0.56 (step @p98 :rule ho_cong :premises (@p96 @p54)) % 0.37/0.56 (step @p99 :rule ho_cong :premises (@p5 @p98)) % 0.37/0.56 (step @p100 :rule ho_cong :premises (@p99 @p97)) % 0.37/0.56 (step @p101 :rule ho_cong :premises (@p5 @p54)) % 0.37/0.56 (step @p102 :rule ho_cong :premises (@p101 @p43)) % 0.37/0.56 (step @p103 :rule ho_cong :premises (@p96 @p102)) % 0.37/0.56 (step @p104 :rule refl :args (@t30)) % 0.37/0.56 (step @p105 :rule refl :args (@t5)) % 0.37/0.56 (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t5 @t30))) % 0.37/0.56 (step @p107 :rule symm :premises (@p106)) % 0.37/0.56 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 0.37/0.56 (step @p109 :rule refl :args (@t50)) % 0.37/0.56 (step @p110 :rule refl :args (@t7)) % 0.37/0.56 (step @p111 :rule cong :premises (@p110 @p109) :args ((= @t7 @t50))) % 0.37/0.56 (step @p112 :rule symm :premises (@p111)) % 0.37/0.56 (step @p113 :rule eq_resolve :premises (@p110 @p112)) % 0.37/0.56 (step @p114 :rule cong :premises (@p113 @p108) :args (@t8)) % 0.37/0.56 (step @p115 :rule cong :premises (@p114) :args (@t10)) % 0.37/0.56 (step @p116 :rule cong :premises (@p115) :args (@t12)) % 0.37/0.56 (step @p117 :rule trans :premises (@p3 @p116)) % 0.37/0.56 (step @p118 :rule ho_cong :premises (@p117 @p103)) % 0.37/0.56 (step @p119 :rule ho_cong :premises (@p118 @p100)) % 0.37/0.56 (step @p120 :rule cong :premises (@p119) :args (@t2)) % 0.37/0.56 (step @p121 :rule trans :premises (@p120 @p94)) % 0.37/0.56 (step @p122 :rule eq_resolve :premises (@p1 @p121)) % 0.37/0.56 (step @p123 :rule skolemize :premises (@p122)) % 0.37/0.56 (step @p124 :rule cnf_and_pos :args (@t61 1)) % 0.37/0.56 (step @p125 :rule reordering :premises (@p124) :args ((or @t59 @t62))) % 0.37/0.56 (step @p126 :rule cnf_or_neg :args (@t64 0)) % 0.37/0.56 (step @p127 :rule cnf_or_neg :args (@t65 0)) % 0.37/0.56 (step @p128 :rule cnf_or_neg :args (@t66 0)) % 0.37/0.56 (step @p129 :rule cnf_equiv_neg2 :args (@t68)) % 0.37/0.56 (step @p130 :rule cnf_and_neg :args (@t67)) % 0.37/0.56 (step @p131 :rule chain_m_resolution :premises (@p130 @p129 @p123 @p128 @p127 @p126) :args ((not @t63) (@list true true false false false) (@list @t67 @t68 @t66 @t65 @t64))) % 0.37/0.56 (step @p132 :rule cnf_or_pos :args (@t66)) % 0.37/0.56 (step @p133 :rule reordering :premises (@p132) :args ((or @t63 @t59 (not @t66)))) % 0.37/0.56 (step @p134 :rule cnf_or_pos :args (@t64)) % 0.37/0.56 (step @p135 :rule reordering :premises (@p134) :args ((or @t63 @t61 @t69))) % 0.37/0.56 (step @p136 :rule cnf_and_pos :args (@t67 1)) % 0.37/0.56 (step @p137 :rule reordering :premises (@p136) :args ((or @t66 @t70))) % 0.37/0.56 (step @p138 :rule cnf_equiv_neg1 :args (@t68)) % 0.37/0.56 (step @p139 :rule reordering :premises (@p138) :args ((or @t64 @t67 @t68))) % 0.37/0.56 (step @p140 :rule chain_m_resolution :premises (@p139 @p123 @p137 @p135 @p131 @p133 @p131 @p125) :args (@t59 (@list true true true true true true true) (@list @t68 @t67 @t64 @t63 @t66 @t63 @t61))) % 0.37/0.56 (step @p141 :rule cnf_or_neg :args (@t65 1)) % 0.37/0.56 (step @p142 :rule cnf_and_neg :args (@t61)) % 0.37/0.56 (step @p143 :rule cnf_or_neg :args (@t66 1)) % 0.37/0.56 (step @p144 :rule cnf_or_neg :args (@t64 1)) % 0.37/0.56 (step @p145 :rule chain_m_resolution :premises (@p129 @p123 @p130 @p144 @p143 @p142 @p141) :args ((or @t71 (not @t59)) (@list true false false false false false) (@list @t68 @t67 @t64 @t66 @t61 @t65))) % 0.37/0.56 (step @p146 :rule chain_m_resolution :premises (@p145 @p140) :args (@t71 (@list false) (@list @t59))) % 0.37/0.56 (step @p147 :rule cnf_and_pos :args (@t61 0)) % 0.37/0.56 (step @p148 :rule reordering :premises (@p147) :args ((or @t60 @t62))) % 0.37/0.56 (step @p149 :rule chain_m_resolution :premises (@p148 @p146) :args (@t62 @t72 (@list @t60))) % 0.37/0.56 (step @p150 :rule chain_m_resolution :premises (@p135 @p131 @p149) :args (@t69 @t73 (@list @t63 @t61))) % 0.37/0.56 (step @p151 :rule cnf_or_pos :args (@t65)) % 0.37/0.56 (step @p152 :rule reordering :premises (@p151) :args ((or @t63 @t60 @t74))) % 0.37/0.56 (step @p153 :rule chain_m_resolution :premises (@p152 @p131 @p146) :args (@t74 @t73 (@list @t63 @t60))) % 0.37/0.56 (step @p154 :rule cnf_and_pos :args (@t67 0)) % 0.37/0.56 (step @p155 :rule reordering :premises (@p154) :args ((or @t65 @t70))) % 0.37/0.56 (step @p156 :rule chain_m_resolution :premises (@p155 @p153) :args (@t70 @t72 (@list @t65))) % 0.37/0.56 (step @p157 false :rule chain_m_resolution :premises (@p139 @p156 @p150 @p123) :args (false (@list true true true) (@list @t67 @t64 @t68))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------