%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM739^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:40:31 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 : NUM739^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 12:08:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----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 tptp.frac 0) % 0.37/0.56 (declare-const tptp.u tptp.frac) % 0.37/0.56 (declare-const tptp.z tptp.frac) % 0.37/0.56 (declare-const tptp.moref (-> tptp.frac tptp.frac Bool)) % 0.37/0.56 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.37/0.56 (declare-const tptp.x tptp.frac) % 0.37/0.56 (declare-const tptp.y tptp.frac) % 0.37/0.56 (define @t1 () (_ tptp.eq tptp.x)) % 0.37/0.56 (define @t2 () (_ @t1 tptp.y)) % 0.37/0.56 (define @t3 () (_ (_ tptp.moref tptp.x) tptp.y)) % 0.37/0.56 (define @t4 () (not @t3)) % 0.37/0.56 (define @t5 () (=> @t4 @t2)) % 0.37/0.56 (define @t6 () (_ @t1 tptp.z)) % 0.37/0.56 (define @t7 () (_ (_ tptp.eq tptp.y) tptp.u)) % 0.37/0.56 (define @t8 () (@var "Xa" Bool)) % 0.37/0.56 (define @t9 () (@var "Xz" tptp.frac)) % 0.37/0.56 (define @t10 () (@var "Xx" tptp.frac)) % 0.37/0.56 (define @t11 () (_ tptp.eq @t10)) % 0.37/0.56 (define @t12 () (_ @t11 @t9)) % 0.37/0.56 (define @t13 () (@var "Xy" tptp.frac)) % 0.37/0.56 (define @t14 () (_ tptp.eq @t13)) % 0.37/0.56 (define @t15 () (_ @t14 @t9)) % 0.37/0.56 (define @t16 () (=> @t15 @t12)) % 0.37/0.56 (define @t17 () (_ @t11 @t13)) % 0.37/0.56 (define @t18 () (@list @t10 @t13 @t9)) % 0.37/0.56 (define @t19 () (forall @t18 (=> @t17 @t16))) % 0.37/0.56 (define @t20 () (_ @t14 @t10)) % 0.37/0.56 (define @t21 () (@list @t10 @t13)) % 0.37/0.56 (define @t22 () (forall @t21 (=> @t17 @t20))) % 0.37/0.56 (define @t23 () (@var "Xu" tptp.frac)) % 0.37/0.56 (define @t24 () (_ (_ tptp.moref @t9) @t23)) % 0.37/0.56 (define @t25 () (_ @t14 @t23)) % 0.37/0.56 (define @t26 () (=> @t25 @t24)) % 0.37/0.56 (define @t27 () (=> @t12 @t26)) % 0.37/0.56 (define @t28 () (_ (_ tptp.moref @t10) @t13)) % 0.37/0.56 (define @t29 () (@list @t10 @t13 @t9 @t23)) % 0.37/0.56 (define @t30 () (forall @t29 (=> @t28 @t27))) % 0.37/0.56 (define @t31 () (_ (_ tptp.eq tptp.z) tptp.u)) % 0.37/0.56 (define @t32 () (_ (_ tptp.moref tptp.z) tptp.u)) % 0.37/0.56 (define @t33 () (not @t32)) % 0.37/0.56 (define @t34 () (=> @t33 @t31)) % 0.37/0.56 (define @t35 () (not @t34)) % 0.37/0.56 (define @t36 () (tptp.eq @t10 @t9)) % 0.37/0.56 (define @t37 () (tptp.eq @t13 @t9)) % 0.37/0.56 (define @t38 () (not @t15)) % 0.37/0.56 (define @t39 () (tptp.eq @t10 @t13)) % 0.37/0.56 (define @t40 () (not @t17)) % 0.37/0.56 (define @t41 () (or @t40 @t38 @t12)) % 0.37/0.56 (define @t42 () (tptp.eq @t13 @t10)) % 0.37/0.56 (define @t43 () (or @t40 @t20)) % 0.37/0.56 (define @t44 () (tptp.eq tptp.x tptp.z)) % 0.37/0.56 (define @t45 () (tptp.eq tptp.z tptp.x)) % 0.37/0.56 (define @t46 () (not @t44)) % 0.37/0.56 (define @t47 () (or @t46 @t45)) % 0.37/0.56 (define @t48 () (tptp.eq tptp.y tptp.u)) % 0.37/0.56 (define @t49 () (tptp.moref @t9 @t23)) % 0.37/0.56 (define @t50 () (tptp.eq @t13 @t23)) % 0.37/0.56 (define @t51 () (not @t25)) % 0.37/0.56 (define @t52 () (not @t12)) % 0.37/0.56 (define @t53 () (tptp.moref @t10 @t13)) % 0.37/0.56 (define @t54 () (not @t28)) % 0.37/0.56 (define @t55 () (or @t54 @t52 @t51 @t24)) % 0.37/0.56 (define @t56 () (or @t52 @t51 @t24)) % 0.37/0.56 (define @t57 () (tptp.eq tptp.z tptp.u)) % 0.37/0.56 (define @t58 () (tptp.moref tptp.z tptp.u)) % 0.37/0.56 (define @t59 () (not @t48)) % 0.37/0.56 (define @t60 () (tptp.moref tptp.x tptp.y)) % 0.37/0.56 (define @t61 () (not @t60)) % 0.37/0.56 (define @t62 () (or @t61 @t46 @t59 @t58)) % 0.37/0.56 (define @t63 () (tptp.eq tptp.x tptp.y)) % 0.37/0.56 (define @t64 () (tptp.eq tptp.x tptp.u)) % 0.37/0.56 (define @t65 () (not @t63)) % 0.37/0.56 (define @t66 () (or @t65 @t59 @t64)) % 0.37/0.56 (define @t67 () (not @t64)) % 0.37/0.56 (define @t68 () (not @t45)) % 0.37/0.56 (define @t69 () (or @t68 @t67 @t57)) % 0.37/0.56 (define @t70 () (not @t69)) % 0.37/0.56 (define @t71 () (forall @t18 (or (not @t39) (not @t37) @t36))) % 0.37/0.56 (assume @p1 @t5) % 0.37/0.56 (assume @p2 @t6) % 0.37/0.56 (assume @p3 @t7) % 0.37/0.56 (assume @p4 (forall (@list @t8) (=> (not (not @t8)) @t8))) % 0.37/0.56 (assume @p5 @t19) % 0.37/0.56 (assume @p6 @t22) % 0.37/0.56 (assume @p7 @t30) % 0.37/0.56 (assume @p8 @t35) % 0.37/0.56 (assume @p9 true) % 0.37/0.56 (step @p10 :rule refl :args (@t36)) % 0.37/0.56 (step @p11 :rule refl :args (@t12)) % 0.37/0.56 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t12 @t36))) % 0.37/0.56 (step @p13 :rule symm :premises (@p12)) % 0.37/0.56 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.37/0.56 (step @p15 :rule refl :args (@t37)) % 0.37/0.56 (step @p16 :rule refl :args (@t15)) % 0.37/0.56 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t15 @t37))) % 0.37/0.56 (step @p18 :rule symm :premises (@p17)) % 0.37/0.56 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.37/0.56 (step @p20 :rule cong :premises (@p19) :args (@t38)) % 0.37/0.56 (step @p21 :rule refl :args (@t39)) % 0.37/0.56 (step @p22 :rule refl :args (@t17)) % 0.37/0.56 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t17 @t39))) % 0.37/0.56 (step @p24 :rule symm :premises (@p23)) % 0.37/0.56 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25) :args (@t40)) % 0.37/0.56 (step @p27 :rule nary_cong :premises (@p26 @p20 @p14) :args (@t41)) % 0.37/0.56 (step @p28 :rule cong :premises (@p27) :args ((forall @t18 @t41))) % 0.37/0.56 (step @p29 :rule aci_norm :args ((= (or @t40 (or @t38 @t12)) @t41))) % 0.37/0.56 (step @p30 :rule bool-impl-elim :args (@t15 @t12)) % 0.37/0.56 (step @p31 :rule refl :args (@t40)) % 0.37/0.56 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t40 @t16))) % 0.37/0.56 (step @p33 :rule trans :premises (@p32 @p29)) % 0.37/0.56 (step @p34 :rule bool-impl-elim :args (@t17 @t16)) % 0.37/0.56 (step @p35 :rule trans :premises (@p34 @p33)) % 0.37/0.56 (step @p36 :rule cong :premises (@p35) :args (@t19)) % 0.37/0.56 (step @p37 :rule trans :premises (@p36 @p28)) % 0.37/0.56 (step @p38 :rule eq_resolve :premises (@p5 @p37)) % 0.37/0.56 (step @p39 :rule refl :args (@t42)) % 0.37/0.56 (step @p40 :rule refl :args (@t20)) % 0.37/0.56 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t20 @t42))) % 0.37/0.56 (step @p42 :rule symm :premises (@p41)) % 0.37/0.56 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.37/0.56 (step @p44 :rule nary_cong :premises (@p26 @p43) :args (@t43)) % 0.37/0.56 (step @p45 :rule cong :premises (@p44) :args ((forall @t21 @t43))) % 0.37/0.56 (step @p46 :rule bool-impl-elim :args (@t17 @t20)) % 0.37/0.56 (step @p47 :rule cong :premises (@p46) :args (@t22)) % 0.37/0.56 (step @p48 :rule trans :premises (@p47 @p45)) % 0.37/0.56 (step @p49 :rule eq_resolve :premises (@p6 @p48)) % 0.37/0.56 (step @p50 :rule instantiate :premises (@p49) :args ((@list tptp.x tptp.z))) % 0.37/0.56 (step @p51 :rule refl :args (@t44)) % 0.37/0.56 (step @p52 :rule refl :args (@t6)) % 0.37/0.56 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t6 @t44))) % 0.37/0.56 (step @p54 :rule symm :premises (@p53)) % 0.37/0.56 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.37/0.56 (step @p56 :rule eq_resolve :premises (@p2 @p55)) % 0.37/0.56 (step @p57 :rule cnf_or_pos :args (@t47)) % 0.37/0.56 (step @p58 :rule reordering :premises (@p57) :args ((or @t46 @t45 (not @t47)))) % 0.37/0.56 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p50) :args (@t45 (@list false false) (@list @t44 @t47))) % 0.37/0.56 (step @p60 :rule instantiate :premises (@p38) :args ((@list tptp.x tptp.y tptp.u))) % 0.37/0.56 (step @p61 :rule refl :args (@t48)) % 0.37/0.56 (step @p62 :rule refl :args (@t7)) % 0.37/0.56 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t7 @t48))) % 0.37/0.56 (step @p64 :rule symm :premises (@p63)) % 0.37/0.56 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.37/0.56 (step @p66 :rule eq_resolve :premises (@p3 @p65)) % 0.37/0.56 (step @p67 :rule refl :args (@t49)) % 0.37/0.56 (step @p68 :rule refl :args (@t24)) % 0.37/0.56 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t24 @t49))) % 0.37/0.56 (step @p70 :rule symm :premises (@p69)) % 0.37/0.56 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.37/0.56 (step @p72 :rule refl :args (@t50)) % 0.37/0.56 (step @p73 :rule refl :args (@t25)) % 0.37/0.56 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t25 @t50))) % 0.37/0.56 (step @p75 :rule symm :premises (@p74)) % 0.37/0.56 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.37/0.56 (step @p77 :rule cong :premises (@p76) :args (@t51)) % 0.37/0.56 (step @p78 :rule cong :premises (@p14) :args (@t52)) % 0.37/0.56 (step @p79 :rule refl :args (@t53)) % 0.37/0.56 (step @p80 :rule refl :args (@t28)) % 0.37/0.56 (step @p81 :rule cong :premises (@p80 @p79) :args ((= @t28 @t53))) % 0.37/0.56 (step @p82 :rule symm :premises (@p81)) % 0.37/0.56 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 0.37/0.56 (step @p84 :rule cong :premises (@p83) :args (@t54)) % 0.37/0.56 (step @p85 :rule nary_cong :premises (@p84 @p78 @p77 @p71) :args (@t55)) % 0.37/0.56 (step @p86 :rule cong :premises (@p85) :args ((forall @t29 @t55))) % 0.37/0.56 (step @p87 :rule aci_norm :args ((= (or @t54 @t56) @t55))) % 0.37/0.56 (step @p88 :rule aci_norm :args ((= (or @t52 (or @t51 @t24)) @t56))) % 0.37/0.56 (step @p89 :rule bool-impl-elim :args (@t25 @t24)) % 0.37/0.56 (step @p90 :rule refl :args (@t52)) % 0.37/0.56 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t52 @t26))) % 0.37/0.56 (step @p92 :rule trans :premises (@p91 @p88)) % 0.37/0.56 (step @p93 :rule bool-impl-elim :args (@t12 @t26)) % 0.37/0.56 (step @p94 :rule trans :premises (@p93 @p92)) % 0.37/0.56 (step @p95 :rule refl :args (@t54)) % 0.37/0.56 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t54 @t27))) % 0.37/0.56 (step @p97 :rule trans :premises (@p96 @p87)) % 0.37/0.56 (step @p98 :rule bool-impl-elim :args (@t28 @t27)) % 0.37/0.56 (step @p99 :rule trans :premises (@p98 @p97)) % 0.37/0.56 (step @p100 :rule cong :premises (@p99) :args (@t30)) % 0.37/0.56 (step @p101 :rule trans :premises (@p100 @p86)) % 0.37/0.56 (step @p102 :rule eq_resolve :premises (@p7 @p101)) % 0.37/0.56 (step @p103 :rule instantiate :premises (@p102) :args ((@list tptp.x tptp.y tptp.z tptp.u))) % 0.37/0.56 (step @p104 :rule refl :args (@t57)) % 0.37/0.56 (step @p105 :rule refl :args (@t31)) % 0.37/0.56 (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t31 @t57))) % 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 (@t58)) % 0.37/0.56 (step @p110 :rule refl :args (@t32)) % 0.37/0.56 (step @p111 :rule cong :premises (@p110 @p109) :args ((= @t32 @t58))) % 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) :args (@t33)) % 0.37/0.56 (step @p115 :rule cong :premises (@p114 @p108) :args (@t34)) % 0.37/0.56 (step @p116 :rule cong :premises (@p115) :args (@t35)) % 0.37/0.56 (step @p117 :rule eq_resolve :premises (@p8 @p116)) % 0.37/0.56 (step @p118 :rule not_implies_elim1 :premises (@p117)) % 0.37/0.56 (step @p119 :rule cnf_or_pos :args (@t62)) % 0.37/0.56 (step @p120 :rule reordering :premises (@p119) :args ((or @t61 @t58 @t46 @t59 (not @t62)))) % 0.37/0.56 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p56 @p66 @p103) :args (@t61 (@list true false false false) (@list @t58 @t44 @t48 @t62))) % 0.37/0.56 (step @p122 :rule refl :args (@t63)) % 0.37/0.56 (step @p123 :rule bool-double-not-elim :args (@t60)) % 0.37/0.56 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or (not @t61) @t63))) % 0.37/0.56 (step @p125 :rule refl :args (@t63)) % 0.37/0.56 (step @p126 :rule refl :args (@t2)) % 0.37/0.56 (step @p127 :rule cong :premises (@p126 @p125) :args ((= @t2 @t63))) % 0.37/0.56 (step @p128 :rule symm :premises (@p127)) % 0.37/0.56 (step @p129 :rule eq_resolve :premises (@p126 @p128)) % 0.37/0.56 (step @p130 :rule refl :args (@t60)) % 0.37/0.56 (step @p131 :rule refl :args (@t3)) % 0.37/0.56 (step @p132 :rule cong :premises (@p131 @p130) :args ((= @t3 @t60))) % 0.37/0.56 (step @p133 :rule symm :premises (@p132)) % 0.37/0.56 (step @p134 :rule eq_resolve :premises (@p131 @p133)) % 0.37/0.56 (step @p135 :rule cong :premises (@p134) :args (@t4)) % 0.37/0.56 (step @p136 :rule cong :premises (@p135 @p129) :args (@t5)) % 0.37/0.56 (step @p137 :rule eq_resolve :premises (@p1 @p136)) % 0.37/0.56 (step @p138 :rule implies_elim :premises (@p137)) % 0.37/0.56 (step @p139 :rule eq_resolve :premises (@p138 @p124)) % 0.37/0.56 (step @p140 :rule reordering :premises (@p139) :args ((or @t63 @t60))) % 0.37/0.56 (step @p141 :rule chain_m_resolution :premises (@p140 @p121) :args (@t63 (@list true) (@list @t60))) % 0.37/0.56 (step @p142 :rule cnf_or_pos :args (@t66)) % 0.37/0.56 (step @p143 :rule reordering :premises (@p142) :args ((or @t65 @t59 @t64 (not @t66)))) % 0.37/0.56 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p66 @p60) :args (@t64 (@list false false false) (@list @t63 @t48 @t66))) % 0.37/0.56 (step @p145 :rule not_implies_elim2 :premises (@p117)) % 0.37/0.56 (step @p146 :rule cnf_or_pos :args (@t69)) % 0.37/0.56 (step @p147 :rule reordering :premises (@p146) :args ((or @t57 @t67 @t68 @t70))) % 0.37/0.56 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p144 @p59) :args (@t70 (@list true false false) (@list @t57 @t64 @t45))) % 0.37/0.56 (assume-push @p155 @t71) % 0.37/0.56 (step @p150 :rule instantiate :premises (@p38) :args ((@list tptp.z tptp.x tptp.u))) % 0.37/0.56 (step-pop @p156 :rule scope :premises (@p150)) % 0.37/0.56 (step @p151 :rule process_scope :premises (@p156) :args (@t69)) % 0.37/0.56 (step @p153 :rule implies_elim :premises (@p151)) % 0.37/0.56 (step @p154 false :rule chain_m_resolution :premises (@p153 @p148 @p38) :args (false (@list true false) (@list @t69 @t71))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------