%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU853^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:53:25 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SEU853^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:54:31 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.36/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort tptp.a 0) % 0.36/0.57 (define @t1 () (@var "Xx" tptp.a)) % 0.36/0.57 (define @t2 () (@var "S" (-> tptp.a Bool))) % 0.36/0.57 (define @t3 () (_ @t2 @t1)) % 0.36/0.57 (define @t4 () (not @t3)) % 0.36/0.57 (define @t5 () (@var "U" (-> tptp.a Bool))) % 0.36/0.57 (define @t6 () (_ @t5 @t1)) % 0.36/0.57 (define @t7 () (and @t6 @t4)) % 0.36/0.57 (define @t8 () (@var "T" (-> tptp.a Bool))) % 0.36/0.57 (define @t9 () (_ @t8 @t1)) % 0.36/0.57 (define @t10 () (not @t9)) % 0.36/0.57 (define @t11 () (and @t3 @t6 @t10)) % 0.36/0.57 (define @t12 () (@list @t1)) % 0.36/0.57 (define @t13 () (forall @t12 (=> @t11 @t7))) % 0.36/0.57 (define @t14 () (forall @t12 (=> @t3 @t9))) % 0.36/0.57 (define @t15 () (= @t14 @t13)) % 0.36/0.57 (define @t16 () (forall @t12 (=> @t9 @t6))) % 0.36/0.57 (define @t17 () (forall @t12 (=> @t3 @t6))) % 0.36/0.57 (define @t18 () (and @t17 @t16)) % 0.36/0.57 (define @t19 () (=> @t18 @t15)) % 0.36/0.57 (define @t20 () (@list @t2 @t8 @t5)) % 0.36/0.57 (define @t21 () (forall @t20 @t19)) % 0.36/0.57 (define @t22 () (not @t21)) % 0.36/0.57 (define @t23 () (_ @t2 @t1)) % 0.36/0.57 (define @t24 () (not @t23)) % 0.36/0.57 (define @t25 () (_ @t5 @t1)) % 0.36/0.57 (define @t26 () (_ @t8 @t1)) % 0.36/0.57 (define @t27 () (= (forall @t12 (or @t24 @t26)) (forall @t12 (or @t24 (not @t25) @t26 (and @t25 @t24))))) % 0.36/0.57 (define @t28 () (forall @t12 (or (not @t26) @t25))) % 0.36/0.57 (define @t29 () (not @t28)) % 0.36/0.57 (define @t30 () (forall @t12 (or @t24 @t25))) % 0.36/0.57 (define @t31 () (not @t30)) % 0.36/0.57 (define @t32 () (or @t31 @t29 @t27)) % 0.36/0.57 (define @t33 () (and @t30 @t28)) % 0.36/0.57 (define @t34 () (not @t6)) % 0.36/0.57 (define @t35 () (or @t4 @t34 @t9 @t7)) % 0.36/0.57 (define @t36 () (not @t10)) % 0.36/0.57 (define @t37 () (or @t4 @t34 @t36)) % 0.36/0.57 (define @t38 () (or @t4 @t9)) % 0.36/0.57 (define @t39 () (or @t10 @t6)) % 0.36/0.57 (define @t40 () (or @t4 @t6)) % 0.36/0.57 (define @t41 () (forall @t20 @t32)) % 0.36/0.57 (define @t42 () (@quantifiers_skolemize @t41 0)) % 0.36/0.57 (define @t43 () (not (_ @t42 @t1))) % 0.36/0.57 (define @t44 () (@quantifiers_skolemize @t41 2)) % 0.36/0.57 (define @t45 () (_ @t44 @t1)) % 0.36/0.57 (define @t46 () (@quantifiers_skolemize @t41 1)) % 0.36/0.57 (define @t47 () (_ @t46 @t1)) % 0.36/0.57 (define @t48 () (forall @t12 (or @t43 (not @t45) @t47 (and @t45 @t43)))) % 0.36/0.57 (define @t49 () (forall @t12 (or @t43 @t47))) % 0.36/0.57 (define @t50 () (= @t49 @t48)) % 0.36/0.57 (define @t51 () (forall @t12 (or @t43 @t45))) % 0.36/0.57 (define @t52 () (not @t51)) % 0.36/0.57 (define @t53 () (or @t52 (not (forall @t12 (or (not @t47) @t45))) @t50)) % 0.36/0.57 (define @t54 () (@list true)) % 0.36/0.57 (define @t55 () (@list @t53)) % 0.36/0.57 (define @t56 () (@quantifiers_skolemize @t48 0)) % 0.36/0.57 (define @t57 () (_ @t42 @t56)) % 0.36/0.57 (define @t58 () (not @t57)) % 0.36/0.57 (define @t59 () (_ @t44 @t56)) % 0.36/0.57 (define @t60 () (_ @t46 @t56)) % 0.36/0.57 (define @t61 () (or @t58 (not @t59) @t60 (and @t59 @t58))) % 0.36/0.57 (define @t62 () (not @t61)) % 0.36/0.57 (define @t63 () (not @t48)) % 0.36/0.57 (define @t64 () (or @t58 @t60)) % 0.36/0.57 (define @t65 () (not @t49)) % 0.36/0.57 (define @t66 () (@quantifiers_skolemize @t49 0)) % 0.36/0.57 (define @t67 () (_ @t46 @t66)) % 0.36/0.57 (define @t68 () (_ @t42 @t66)) % 0.36/0.57 (define @t69 () (not @t68)) % 0.36/0.57 (define @t70 () (or @t69 @t67)) % 0.36/0.57 (define @t71 () (not @t70)) % 0.36/0.57 (define @t72 () (@list @t70)) % 0.36/0.57 (define @t73 () (@list @t66)) % 0.36/0.57 (define @t74 () (_ @t44 @t66)) % 0.36/0.57 (define @t75 () (and @t74 @t69)) % 0.36/0.57 (define @t76 () (not @t74)) % 0.36/0.57 (define @t77 () (or @t69 @t76 @t67 @t75)) % 0.36/0.57 (define @t78 () (@list false)) % 0.36/0.57 (define @t79 () (not @t75)) % 0.36/0.57 (define @t80 () (or @t69 @t74)) % 0.36/0.57 (assume @p1 @t22) % 0.36/0.57 (assume @p2 true) % 0.36/0.57 (step @p3 :rule aci_norm :args ((= (or (or @t31 @t29) @t27) @t32))) % 0.36/0.57 (step @p4 :rule refl :args (@t27)) % 0.36/0.57 (step @p5 :rule bool-and-de-morgan :args (@t30 @t28 true)) % 0.36/0.57 (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((or (not @t33) @t27))) % 0.36/0.57 (step @p7 :rule trans :premises (@p6 @p3)) % 0.36/0.57 (step @p8 :rule bool-impl-elim :args (@t33 @t27)) % 0.36/0.57 (step @p9 :rule trans :premises (@p8 @p7)) % 0.36/0.57 (step @p10 :rule cong :premises (@p9) :args ((forall @t20 (=> @t33 @t27)))) % 0.36/0.57 (step @p11 :rule refl :args (@t23)) % 0.36/0.57 (step @p12 :rule refl :args (@t3)) % 0.36/0.57 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t3 @t23))) % 0.36/0.57 (step @p14 :rule symm :premises (@p13)) % 0.36/0.57 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.36/0.57 (step @p16 :rule cong :premises (@p15) :args (@t4)) % 0.36/0.57 (step @p17 :rule refl :args (@t25)) % 0.36/0.57 (step @p18 :rule refl :args (@t6)) % 0.36/0.57 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t6 @t25))) % 0.36/0.57 (step @p20 :rule symm :premises (@p19)) % 0.36/0.57 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.36/0.57 (step @p22 :rule nary_cong :premises (@p21 @p16) :args (@t7)) % 0.36/0.57 (step @p23 :rule refl :args (@t26)) % 0.36/0.57 (step @p24 :rule refl :args (@t9)) % 0.36/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t9 @t26))) % 0.36/0.57 (step @p26 :rule symm :premises (@p25)) % 0.36/0.57 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.36/0.57 (step @p28 :rule cong :premises (@p21) :args (@t34)) % 0.36/0.57 (step @p29 :rule nary_cong :premises (@p16 @p28 @p27 @p22) :args (@t35)) % 0.36/0.57 (step @p30 :rule cong :premises (@p29) :args ((forall @t12 @t35))) % 0.36/0.57 (step @p31 :rule aci_norm :args ((= (or (or @t4 @t34 @t9) @t7) @t35))) % 0.36/0.57 (step @p32 :rule refl :args (@t7)) % 0.36/0.57 (step @p33 :rule bool-double-not-elim :args (@t9)) % 0.36/0.57 (step @p34 :rule refl :args (@t34)) % 0.36/0.57 (step @p35 :rule refl :args (@t4)) % 0.36/0.57 (step @p36 :rule nary_cong :premises (@p35 @p34 @p33) :args (@t37)) % 0.36/0.57 (step @p37 :rule aci_norm :args ((= (or @t4 (or @t34 @t36)) @t37))) % 0.36/0.57 (step @p38 :rule trans :premises (@p37 @p36)) % 0.36/0.57 (step @p39 :rule bool-and-de-morgan :args (@t6 @t10 true)) % 0.36/0.57 (step @p40 :rule nary_cong :premises (@p35 @p39) :args ((or @t4 (not (and @t6 @t10))))) % 0.36/0.57 (step @p41 :rule bool-and-de-morgan :args (@t3 @t6 (and @t10))) % 0.36/0.57 (step @p42 :rule trans :premises (@p41 @p40)) % 0.36/0.57 (step @p43 :rule trans :premises (@p42 @p38)) % 0.36/0.57 (step @p44 :rule nary_cong :premises (@p43 @p32) :args ((or (not @t11) @t7))) % 0.36/0.57 (step @p45 :rule trans :premises (@p44 @p31)) % 0.36/0.57 (step @p46 :rule bool-impl-elim :args (@t11 @t7)) % 0.36/0.57 (step @p47 :rule trans :premises (@p46 @p45)) % 0.36/0.57 (step @p48 :rule cong :premises (@p47) :args (@t13)) % 0.36/0.57 (step @p49 :rule trans :premises (@p48 @p30)) % 0.36/0.57 (step @p50 :rule nary_cong :premises (@p16 @p27) :args (@t38)) % 0.36/0.57 (step @p51 :rule cong :premises (@p50) :args ((forall @t12 @t38))) % 0.36/0.57 (step @p52 :rule bool-impl-elim :args (@t3 @t9)) % 0.36/0.57 (step @p53 :rule cong :premises (@p52) :args (@t14)) % 0.36/0.57 (step @p54 :rule trans :premises (@p53 @p51)) % 0.36/0.57 (step @p55 :rule cong :premises (@p54 @p49) :args (@t15)) % 0.36/0.57 (step @p56 :rule cong :premises (@p27) :args (@t10)) % 0.36/0.57 (step @p57 :rule nary_cong :premises (@p56 @p21) :args (@t39)) % 0.36/0.57 (step @p58 :rule cong :premises (@p57) :args ((forall @t12 @t39))) % 0.36/0.57 (step @p59 :rule bool-impl-elim :args (@t9 @t6)) % 0.36/0.57 (step @p60 :rule cong :premises (@p59) :args (@t16)) % 0.36/0.57 (step @p61 :rule trans :premises (@p60 @p58)) % 0.36/0.57 (step @p62 :rule nary_cong :premises (@p16 @p21) :args (@t40)) % 0.36/0.57 (step @p63 :rule cong :premises (@p62) :args ((forall @t12 @t40))) % 0.36/0.57 (step @p64 :rule bool-impl-elim :args (@t3 @t6)) % 0.36/0.57 (step @p65 :rule cong :premises (@p64) :args (@t17)) % 0.36/0.57 (step @p66 :rule trans :premises (@p65 @p63)) % 0.36/0.57 (step @p67 :rule nary_cong :premises (@p66 @p61) :args (@t18)) % 0.36/0.57 (step @p68 :rule cong :premises (@p67 @p55) :args (@t19)) % 0.36/0.57 (step @p69 :rule cong :premises (@p68) :args (@t21)) % 0.36/0.57 (step @p70 :rule trans :premises (@p69 @p10)) % 0.36/0.57 (step @p71 :rule cong :premises (@p70) :args (@t22)) % 0.36/0.57 (step @p72 :rule eq_resolve :premises (@p1 @p71)) % 0.36/0.57 (step @p73 :rule skolemize :premises (@p72)) % 0.36/0.57 (step @p74 :rule cnf_or_neg :args (@t53 2)) % 0.36/0.57 (step @p75 :rule chain_m_resolution :premises (@p74 @p73) :args ((not @t50) @t54 @t55)) % 0.36/0.57 (step @p76 :rule cnf_equiv_neg2 :args (@t50)) % 0.36/0.57 (step @p77 :rule refl :args (@t62)) % 0.36/0.57 (step @p78 :rule bool-double-not-elim :args (@t48)) % 0.36/0.57 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or (not @t63) @t62))) % 0.36/0.57 (assume-push @p146 @t63) % 0.36/0.57 (step @p81 :rule skolemize :premises (@p146)) % 0.36/0.57 (step-pop @p147 :rule scope :premises (@p81)) % 0.36/0.57 (step @p82 :rule process_scope :premises (@p147) :args (@t62)) % 0.36/0.57 (step @p84 :rule implies_elim :premises (@p82)) % 0.36/0.57 (step @p85 :rule eq_resolve :premises (@p84 @p79)) % 0.36/0.57 (step @p86 :rule bool-double-not-elim :args (@t57)) % 0.36/0.57 (step @p87 :rule refl :args (@t61)) % 0.36/0.57 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t61 (not @t58)))) % 0.36/0.57 (step @p89 :rule cnf_or_neg :args (@t61 0)) % 0.36/0.57 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.36/0.57 (step @p91 :rule reordering :premises (@p90) :args ((or @t57 @t61))) % 0.36/0.57 (step @p92 :rule cnf_or_neg :args (@t61 2)) % 0.36/0.57 (step @p93 :rule cnf_or_pos :args (@t64)) % 0.36/0.57 (step @p94 :rule reordering :premises (@p93) :args ((or @t58 @t60 (not @t64)))) % 0.36/0.57 (assume-push @p148 @t49) % 0.36/0.57 (step @p96 :rule instantiate :premises (@p148) :args ((@list @t56))) % 0.36/0.57 (step-pop @p149 :rule scope :premises (@p96)) % 0.36/0.57 (step @p97 :rule process_scope :premises (@p149) :args (@t64)) % 0.36/0.57 (step @p99 :rule implies_elim :premises (@p97)) % 0.36/0.57 (step @p100 :rule chain_m_resolution :premises (@p99 @p94 @p92 @p91 @p85 @p76 @p75) :args (@t65 (@list true true false true true true) (@list @t64 @t60 @t57 @t61 @t48 @t50))) % 0.36/0.57 (step @p101 :rule refl :args (@t71)) % 0.36/0.57 (step @p102 :rule bool-double-not-elim :args (@t49)) % 0.36/0.57 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or (not @t65) @t71))) % 0.36/0.57 (assume-push @p150 @t65) % 0.36/0.57 (step @p105 :rule skolemize :premises (@p150)) % 0.36/0.57 (step-pop @p151 :rule scope :premises (@p105)) % 0.36/0.57 (step @p106 :rule process_scope :premises (@p151) :args (@t71)) % 0.36/0.57 (step @p108 :rule implies_elim :premises (@p106)) % 0.36/0.57 (step @p109 :rule eq_resolve :premises (@p108 @p103)) % 0.36/0.57 (step @p110 :rule chain_m_resolution :premises (@p109 @p100) :args (@t71 @t54 (@list @t49))) % 0.36/0.57 (step @p111 :rule bool-double-not-elim :args (@t68)) % 0.36/0.57 (step @p112 :rule refl :args (@t70)) % 0.36/0.57 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t70 (not @t69)))) % 0.36/0.57 (step @p114 :rule cnf_or_neg :args (@t70 0)) % 0.36/0.57 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.36/0.57 (step @p116 :rule reordering :premises (@p115) :args ((or @t68 @t70))) % 0.36/0.57 (step @p117 :rule chain_m_resolution :premises (@p116 @p110) :args (@t68 @t54 @t72)) % 0.36/0.57 (step @p118 :rule cnf_or_neg :args (@t70 1)) % 0.36/0.57 (step @p119 :rule chain_m_resolution :premises (@p118 @p110) :args ((not @t67) @t54 @t72)) % 0.36/0.57 (step @p120 :rule cnf_equiv_neg1 :args (@t50)) % 0.36/0.57 (step @p121 :rule reordering :premises (@p120) :args ((or @t49 @t48 @t50))) % 0.36/0.57 (step @p122 :rule chain_m_resolution :premises (@p121 @p100 @p75) :args (@t48 (@list true true) (@list @t49 @t50))) % 0.36/0.57 (assume-push @p152 @t48) % 0.36/0.57 (step @p124 :rule instantiate :premises (@p152) :args (@t73)) % 0.36/0.57 (step-pop @p153 :rule scope :premises (@p124)) % 0.36/0.57 (step @p125 :rule process_scope :premises (@p153) :args (@t77)) % 0.36/0.57 (step @p127 :rule implies_elim :premises (@p125)) % 0.36/0.57 (step @p128 :rule chain_m_resolution :premises (@p127 @p122) :args (@t77 @t78 (@list @t48))) % 0.36/0.57 (step @p129 :rule cnf_and_pos :args (@t75 1)) % 0.36/0.57 (step @p130 :rule reordering :premises (@p129) :args ((or @t69 @t79))) % 0.36/0.57 (step @p131 :rule chain_m_resolution :premises (@p130 @p117) :args (@t79 @t78 (@list @t68))) % 0.36/0.57 (step @p132 :rule bool-double-not-elim :args (@t51)) % 0.36/0.57 (step @p133 :rule refl :args (@t53)) % 0.36/0.57 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t53 (not @t52)))) % 0.36/0.57 (step @p135 :rule cnf_or_neg :args (@t53 0)) % 0.36/0.57 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 0.36/0.57 (step @p137 :rule reordering :premises (@p136) :args ((or @t51 @t53))) % 0.36/0.57 (step @p138 :rule chain_m_resolution :premises (@p137 @p73) :args (@t51 @t54 @t55)) % 0.36/0.57 (step @p139 :rule instantiate :premises (@p138) :args (@t73)) % 0.36/0.57 (step @p140 :rule cnf_or_pos :args (@t80)) % 0.36/0.57 (step @p141 :rule reordering :premises (@p140) :args ((or @t69 @t74 (not @t80)))) % 0.36/0.57 (step @p142 :rule chain_m_resolution :premises (@p141 @p117 @p139) :args (@t74 (@list false false) (@list @t68 @t80))) % 0.36/0.57 (step @p143 :rule cnf_or_pos :args (@t77)) % 0.36/0.57 (step @p144 :rule reordering :premises (@p143) :args ((or @t69 @t67 @t76 @t75 (not @t77)))) % 0.36/0.57 (step @p145 false :rule chain_m_resolution :premises (@p144 @p142 @p131 @p128 @p119 @p117) :args (false (@list false true false true false) (@list @t74 @t75 @t77 @t67 @t68))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------