%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV065^5 : 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 : 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 08:55:24 AM UTC 2026 % Result : Theorem 0.27s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV065^5 : 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 % 0.18/0.34 % Computer : n018.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 18:11:20 EDT 2026 % 0.18/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.27/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.27/0.55 % SZS status Theorem % 0.27/0.55 % SZS output start Proof % 0.27/0.55 ( % 0.27/0.55 (declare-sort tptp.a 0) % 0.27/0.55 (declare-sort tptp.b 0) % 0.27/0.55 (define @t1 () (@var "Xk" (-> tptp.b tptp.a Bool))) % 0.27/0.55 (define @t2 () (@var "Xy" tptp.a)) % 0.27/0.55 (define @t3 () (@var "Xv" tptp.a)) % 0.27/0.55 (define @t4 () (@var "Xx" tptp.b)) % 0.27/0.55 (define @t5 () (@var "Xu" tptp.b)) % 0.27/0.55 (define @t6 () (and (= @t5 @t4) (= @t3 @t2))) % 0.27/0.55 (define @t7 () (not @t6)) % 0.27/0.55 (define @t8 () (_ (_ @t1 @t5) @t3)) % 0.27/0.55 (define @t9 () (and @t8 @t7)) % 0.27/0.55 (define @t10 () (or @t9 @t6)) % 0.27/0.55 (define @t11 () (@list @t5 @t3)) % 0.27/0.55 (define @t12 () (lambda @t11 @t10)) % 0.27/0.55 (define @t13 () (= @t12 @t1)) % 0.27/0.55 (define @t14 () (_ (_ @t1 @t4) @t2)) % 0.27/0.55 (define @t15 () (=> @t14 @t13)) % 0.27/0.55 (define @t16 () (@list @t4 @t2 @t1)) % 0.27/0.55 (define @t17 () (forall @t16 @t15)) % 0.27/0.55 (define @t18 () (not @t17)) % 0.27/0.55 (define @t19 () (and (= @t4 @t5) (= @t2 @t3))) % 0.27/0.55 (define @t20 () (not @t19)) % 0.27/0.55 (define @t21 () (_ @t1 @t5 @t3)) % 0.27/0.55 (define @t22 () (and @t8 @t20)) % 0.27/0.55 (define @t23 () (or @t22 @t19)) % 0.27/0.55 (define @t24 () (lambda @t11 @t23)) % 0.27/0.55 (define @t25 () (= @t1 @t24)) % 0.27/0.55 (define @t26 () (_ @t1 @t4 @t2)) % 0.27/0.55 (define @t27 () (not @t14)) % 0.27/0.55 (define @t28 () (or @t27 @t25)) % 0.27/0.55 (define @t29 () (forall @t16 (or (not @t26) (= @t1 (lambda @t11 (or (and @t21 @t20) @t19)))))) % 0.27/0.55 (define @t30 () (@quantifiers_skolemize @t29 1)) % 0.27/0.55 (define @t31 () (@quantifiers_skolemize @t29 0)) % 0.27/0.55 (define @t32 () (and (= @t5 @t31) (= @t3 @t30))) % 0.27/0.55 (define @t33 () (@quantifiers_skolemize @t29 2)) % 0.27/0.55 (define @t34 () (_ @t33 @t5 @t3)) % 0.27/0.55 (define @t35 () (lambda @t11 (or (and @t34 (not @t32)) @t32))) % 0.27/0.55 (define @t36 () (@purify @t35)) % 0.27/0.55 (define @t37 () (= @t33 @t36)) % 0.27/0.55 (define @t38 () (_ @t33 @t31 @t30)) % 0.27/0.55 (define @t39 () (not @t38)) % 0.27/0.55 (define @t40 () (or @t39 @t37)) % 0.27/0.55 (define @t41 () (not @t40)) % 0.27/0.55 (define @t42 () (not @t29)) % 0.27/0.55 (define @t43 () (= @t33 @t35)) % 0.27/0.55 (define @t44 () (or @t39 @t43)) % 0.27/0.55 (define @t45 () (not @t44)) % 0.27/0.55 (define @t46 () (and (= @t31 @t5) (= @t30 @t3))) % 0.27/0.55 (define @t47 () (not @t46)) % 0.27/0.55 (define @t48 () (and @t34 @t47)) % 0.27/0.55 (define @t49 () (or @t48 @t46)) % 0.27/0.55 (define @t50 () (lambda @t11 @t49)) % 0.27/0.55 (define @t51 () (= @t33 @t50)) % 0.27/0.55 (define @t52 () (or @t39 @t51)) % 0.27/0.55 (define @t53 () (not @t52)) % 0.27/0.55 (define @t54 () (@list true)) % 0.27/0.55 (define @t55 () (@list @t40)) % 0.27/0.55 (define @t56 () (@const 0 tptp.a)) % 0.27/0.55 (define @t57 () (= @t30 @t56)) % 0.27/0.55 (define @t58 () (@const 1 tptp.b)) % 0.27/0.55 (define @t59 () (= @t31 @t58)) % 0.27/0.55 (define @t60 () (and @t59 @t57)) % 0.27/0.55 (define @t61 () (not @t60)) % 0.27/0.55 (define @t62 () (_ @t33 @t58 @t56)) % 0.27/0.55 (define @t63 () (and @t62 @t61)) % 0.27/0.55 (define @t64 () (or @t63 @t60)) % 0.27/0.55 (define @t65 () (and (= @t58 @t31) (= @t56 @t30))) % 0.27/0.55 (define @t66 () (not @t65)) % 0.27/0.55 (define @t67 () (and @t62 @t66)) % 0.27/0.55 (define @t68 () (or @t67 @t65)) % 0.27/0.55 (define @t69 () (_ @t35 @t58 @t56)) % 0.27/0.55 (define @t70 () (_ @t36 @t58 @t56)) % 0.27/0.55 (define @t71 () (= @t62 @t70)) % 0.27/0.55 (define @t72 () (not @t71)) % 0.27/0.55 (define @t73 () (or @t37 @t72)) % 0.27/0.55 (define @t74 () (= @t62 @t64)) % 0.27/0.55 (define @t75 () (not @t62)) % 0.27/0.55 (define @t76 () (not @t63)) % 0.27/0.55 (define @t77 () (@list false)) % 0.27/0.55 (define @t78 () (@list @t60)) % 0.27/0.55 (assume @p1 @t18) % 0.27/0.55 (assume @p2 true) % 0.27/0.55 (step @p3 :rule evaluate :args ((= false true))) % 0.27/0.55 (step @p4 :rule refl :args (@t19)) % 0.27/0.55 (step @p5 :rule refl :args (@t20)) % 0.27/0.55 (step @p6 :rule refl :args (@t21)) % 0.27/0.55 (step @p7 :rule refl :args (@t8)) % 0.27/0.55 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t8 @t21))) % 0.27/0.55 (step @p9 :rule symm :premises (@p8)) % 0.27/0.55 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.27/0.55 (step @p11 :rule nary_cong :premises (@p10 @p5) :args (@t22)) % 0.27/0.55 (step @p12 :rule nary_cong :premises (@p11 @p4) :args (@t23)) % 0.27/0.55 (step @p13 :rule cong :premises (@p12) :args (@t24)) % 0.27/0.55 (step @p14 :rule refl :args (@t1)) % 0.27/0.55 (step @p15 :rule cong :premises (@p14 @p13) :args (@t25)) % 0.27/0.55 (step @p16 :rule refl :args (@t26)) % 0.27/0.55 (step @p17 :rule refl :args (@t14)) % 0.27/0.55 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t14 @t26))) % 0.27/0.55 (step @p19 :rule symm :premises (@p18)) % 0.27/0.55 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.27/0.55 (step @p21 :rule cong :premises (@p20) :args (@t27)) % 0.27/0.55 (step @p22 :rule nary_cong :premises (@p21 @p15) :args (@t28)) % 0.27/0.55 (step @p23 :rule cong :premises (@p22) :args ((forall @t16 @t28))) % 0.27/0.55 (step @p24 :rule bool-impl-elim :args (@t14 @t25)) % 0.27/0.55 (step @p25 :rule cong :premises (@p24) :args ((forall @t16 (=> @t14 @t25)))) % 0.27/0.55 (step @p26 :rule trans :premises (@p25 @p23)) % 0.27/0.55 (step @p27 :rule eq-symm :args (@t24 @t1)) % 0.27/0.55 (step @p28 :rule refl :args (@t1)) % 0.27/0.55 (step @p29 :rule eq-symm :args (@t3 @t2)) % 0.27/0.55 (step @p30 :rule eq-symm :args (@t5 @t4)) % 0.27/0.55 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t6)) % 0.27/0.55 (step @p32 :rule cong :premises (@p31) :args (@t7)) % 0.27/0.55 (step @p33 :rule refl :args (@t8)) % 0.27/0.55 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t9)) % 0.27/0.55 (step @p35 :rule nary_cong :premises (@p34 @p31) :args (@t10)) % 0.27/0.55 (step @p36 :rule cong :premises (@p35) :args (@t12)) % 0.27/0.55 (step @p37 :rule cong :premises (@p36 @p28) :args (@t13)) % 0.27/0.55 (step @p38 :rule trans :premises (@p37 @p27)) % 0.27/0.55 (step @p39 :rule refl :args (@t14)) % 0.27/0.55 (step @p40 :rule cong :premises (@p39 @p38) :args (@t15)) % 0.27/0.55 (step @p41 :rule cong :premises (@p40) :args (@t17)) % 0.27/0.55 (step @p42 :rule trans :premises (@p41 @p26)) % 0.27/0.55 (step @p43 :rule cong :premises (@p42) :args (@t18)) % 0.27/0.55 (step @p44 :rule eq_resolve :premises (@p1 @p43)) % 0.27/0.55 (step @p45 :rule refl :args (@t41)) % 0.27/0.55 (step @p46 :rule bool-double-not-elim :args (@t29)) % 0.27/0.55 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t42) @t41))) % 0.27/0.55 (step @p48 :rule eq-refl :args (@t35)) % 0.27/0.55 (step @p49 :rule skolem_intro :args (@t36)) % 0.27/0.55 (step @p50 :rule refl :args (@t35)) % 0.27/0.55 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t35 @t36))) % 0.27/0.55 (step @p52 :rule trans :premises (@p51 @p48)) % 0.27/0.55 (step @p53 :rule true_elim :premises (@p52)) % 0.27/0.55 (step @p54 :rule refl :args (@t33)) % 0.27/0.55 (step @p55 :rule cong :premises (@p54 @p53) :args (@t43)) % 0.27/0.55 (step @p56 :rule refl :args (@t39)) % 0.27/0.55 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t44)) % 0.27/0.55 (step @p58 :rule cong :premises (@p57) :args (@t45)) % 0.27/0.55 (step @p59 :rule refl :args (@t42)) % 0.27/0.55 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t42 @t45))) % 0.27/0.55 (step @p61 :rule eq-symm :args (@t30 @t3)) % 0.27/0.55 (step @p62 :rule eq-symm :args (@t31 @t5)) % 0.27/0.55 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t46)) % 0.27/0.55 (step @p64 :rule cong :premises (@p63) :args (@t47)) % 0.27/0.55 (step @p65 :rule refl :args (@t34)) % 0.27/0.55 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t48)) % 0.27/0.55 (step @p67 :rule nary_cong :premises (@p66 @p63) :args (@t49)) % 0.27/0.55 (step @p68 :rule cong :premises (@p67) :args (@t50)) % 0.27/0.55 (step @p69 :rule cong :premises (@p54 @p68) :args (@t51)) % 0.27/0.55 (step @p70 :rule nary_cong :premises (@p56 @p69) :args (@t52)) % 0.27/0.55 (step @p71 :rule cong :premises (@p70) :args (@t53)) % 0.27/0.55 (step @p72 :rule cong :premises (@p59 @p71) :args ((=> @t42 @t53))) % 0.27/0.55 (step @p73 :rule trans :premises (@p72 @p60)) % 0.27/0.55 (assume-push @p152 @t42) % 0.27/0.55 (step @p75 :rule skolemize :premises (@p44)) % 0.27/0.55 (step-pop @p153 :rule scope :premises (@p75)) % 0.27/0.55 (step @p76 :rule process_scope :premises (@p153) :args (@t53)) % 0.27/0.55 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 0.27/0.55 (step @p79 :rule implies_elim :premises (@p78)) % 0.27/0.55 (step @p80 :rule eq_resolve :premises (@p79 @p47)) % 0.27/0.55 (step @p81 :rule chain_m_resolution :premises (@p80 @p44) :args (@t41 @t54 (@list @t29))) % 0.27/0.55 (step @p82 :rule bool-double-not-elim :args (@t38)) % 0.27/0.55 (step @p83 :rule refl :args (@t40)) % 0.27/0.55 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t40 (not @t39)))) % 0.27/0.55 (step @p85 :rule cnf_or_neg :args (@t40 0)) % 0.27/0.55 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.27/0.55 (step @p87 :rule reordering :premises (@p86) :args ((or @t38 @t40))) % 0.27/0.55 (step @p88 :rule chain_m_resolution :premises (@p87 @p81) :args (@t38 @t54 @t55)) % 0.27/0.55 (step @p89 :rule true_intro :premises (@p88)) % 0.27/0.55 (step @p90 :rule cnf_or_neg :args (@t40 1)) % 0.27/0.55 (step @p91 :rule chain_m_resolution :premises (@p90 @p81) :args ((not @t37) @t54 @t55)) % 0.27/0.55 (step @p92 :rule eq-refl :args (@t64)) % 0.27/0.55 (step @p93 :rule refl :args (@t64)) % 0.27/0.55 (step @p94 :rule eq-symm :args (@t56 @t30)) % 0.27/0.55 (step @p95 :rule eq-symm :args (@t58 @t31)) % 0.27/0.55 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t65)) % 0.27/0.55 (step @p97 :rule cong :premises (@p96) :args (@t66)) % 0.27/0.55 (step @p98 :rule refl :args (@t62)) % 0.27/0.55 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t67)) % 0.27/0.55 (step @p100 :rule nary_cong :premises (@p99 @p96) :args (@t68)) % 0.27/0.55 (step @p101 :rule beta-reduce :args ((= @t69 @t68))) % 0.27/0.55 (step @p102 :rule trans :premises (@p101 @p100)) % 0.27/0.55 (step @p103 :rule cong :premises (@p102 @p93) :args ((= @t69 @t64))) % 0.38/0.55 (step @p104 :rule trans :premises (@p103 @p92)) % 0.38/0.55 (step @p105 :rule refl :args (@t56)) % 0.38/0.55 (step @p106 :rule refl :args (@t58)) % 0.38/0.55 (step @p107 :rule ho_cong :premises (@p49 @p106 @p105)) % 0.38/0.55 (step @p108 :rule cong :premises (@p107 @p93) :args ((= @t70 @t64))) % 0.38/0.55 (step @p109 :rule trans :premises (@p108 @p104)) % 0.38/0.55 (step @p110 :rule true_elim :premises (@p109)) % 0.38/0.55 (step @p111 :rule cong :premises (@p98 @p110) :args (@t71)) % 0.38/0.55 (step @p112 :rule cong :premises (@p111) :args (@t72)) % 0.38/0.55 (step @p113 :rule refl :args (@t37)) % 0.38/0.55 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t73)) % 0.38/0.55 ; WARNING: add trust step for TRUST % 0.38/0.55 ; trust TRUST THEORY_LEMMA % 0.38/0.55 (step @p115 :rule trust :premises () :args (@t73)) % 0.38/0.55 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.38/0.55 (step @p117 :rule chain_m_resolution :premises (@p116 @p91) :args ((not @t74) @t54 (@list @t37))) % 0.38/0.55 (step @p118 :rule cnf_equiv_neg2 :args (@t74)) % 0.38/0.55 (step @p119 :rule cnf_or_neg :args (@t64 0)) % 0.38/0.55 (step @p120 :rule cnf_or_neg :args (@t64 1)) % 0.38/0.55 (step @p121 :rule reordering :premises (@p120) :args ((or @t61 @t64))) % 0.38/0.55 (step @p122 :rule bool-double-not-elim :args (@t60)) % 0.38/0.55 (step @p123 :rule refl :args (@t75)) % 0.38/0.55 (step @p124 :rule refl :args (@t63)) % 0.38/0.55 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122) :args ((or @t63 @t75 (not @t61)))) % 0.38/0.55 (step @p126 :rule cnf_and_neg :args (@t63)) % 0.38/0.55 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 0.38/0.55 (step @p128 :rule reordering :premises (@p127) :args ((or @t60 @t63 @t75))) % 0.38/0.55 (step @p129 :rule chain_m_resolution :premises (@p128 @p121 @p119 @p118 @p117) :args (@t75 (@list true true true true) (@list @t60 @t63 @t64 @t74))) % 0.38/0.55 (step @p130 :rule cnf_equiv_neg1 :args (@t74)) % 0.38/0.55 (step @p131 :rule reordering :premises (@p130) :args ((or @t62 @t64 @t74))) % 0.38/0.55 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p117) :args (@t64 (@list true true) (@list @t62 @t74))) % 0.38/0.55 (step @p133 :rule cnf_and_pos :args (@t63 0)) % 0.38/0.55 (step @p134 :rule reordering :premises (@p133) :args ((or @t62 @t76))) % 0.38/0.55 (step @p135 :rule chain_m_resolution :premises (@p134 @p129) :args (@t76 @t54 (@list @t62))) % 0.38/0.55 (step @p136 :rule cnf_or_pos :args (@t64)) % 0.38/0.55 (step @p137 :rule reordering :premises (@p136) :args ((or @t60 @t63 (not @t64)))) % 0.38/0.55 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p132) :args (@t60 (@list true false) (@list @t63 @t64))) % 0.38/0.55 (step @p139 :rule cnf_and_pos :args (@t60 1)) % 0.38/0.55 (step @p140 :rule reordering :premises (@p139) :args ((or @t57 @t61))) % 0.38/0.55 (step @p141 :rule chain_m_resolution :premises (@p140 @p138) :args (@t57 @t77 @t78)) % 0.38/0.55 (step @p142 :rule symm :premises (@p141)) % 0.38/0.55 (step @p143 :rule cnf_and_pos :args (@t60 0)) % 0.38/0.55 (step @p144 :rule reordering :premises (@p143) :args ((or @t59 @t61))) % 0.38/0.55 (step @p145 :rule chain_m_resolution :premises (@p144 @p138) :args (@t59 @t77 @t78)) % 0.38/0.55 (step @p146 :rule symm :premises (@p145)) % 0.38/0.55 (step @p147 :rule cong :premises (@p146 @p142) :args (@t62)) % 0.38/0.55 (step @p148 :rule false_intro :premises (@p129)) % 0.38/0.55 (step @p149 :rule symm :premises (@p148)) % 0.38/0.55 (step @p150 :rule trans :premises (@p149 @p147 @p89)) % 0.38/0.55 (step @p151 false :rule eq_resolve :premises (@p150 @p3)) % 0.38/0.55 ) % 0.38/0.55 % SZS output end Proof % 0.38/0.55 % cvc5 exiting %------------------------------------------------------------------------------