%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM746^1 : 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 : n014.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 08:40:32 AM UTC 2026 % Result : Theorem 0.27s 0.55s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM746^1 : 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 % 0.14/0.34 % Computer : n014.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 12:10:13 EDT 2026 % 0.14/0.34 % CPUTime : % 0.27/0.48 %----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.frac 0) % 0.27/0.55 (declare-const tptp.z tptp.frac) % 0.27/0.55 (declare-const tptp.lessf (-> tptp.frac tptp.frac Bool)) % 0.27/0.55 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.27/0.55 (declare-const tptp.x tptp.frac) % 0.27/0.55 (declare-const tptp.y tptp.frac) % 0.27/0.55 (define @t1 () (_ tptp.eq tptp.x)) % 0.27/0.55 (define @t2 () (_ @t1 tptp.y)) % 0.27/0.55 (define @t3 () (_ tptp.lessf tptp.x)) % 0.27/0.55 (define @t4 () (_ @t3 tptp.y)) % 0.27/0.55 (define @t5 () (not @t4)) % 0.27/0.55 (define @t6 () (=> @t5 @t2)) % 0.27/0.55 (define @t7 () (_ (_ tptp.eq tptp.y) tptp.z)) % 0.27/0.55 (define @t8 () (_ (_ tptp.lessf tptp.y) tptp.z)) % 0.27/0.55 (define @t9 () (not @t8)) % 0.27/0.55 (define @t10 () (=> @t9 @t7)) % 0.27/0.55 (define @t11 () (@var "Xa" Bool)) % 0.27/0.55 (define @t12 () (@var "Xz" tptp.frac)) % 0.27/0.55 (define @t13 () (@var "Xx" tptp.frac)) % 0.27/0.55 (define @t14 () (_ tptp.eq @t13)) % 0.27/0.55 (define @t15 () (_ @t14 @t12)) % 0.27/0.55 (define @t16 () (@var "Xy" tptp.frac)) % 0.27/0.55 (define @t17 () (_ (_ tptp.eq @t16) @t12)) % 0.27/0.55 (define @t18 () (=> @t17 @t15)) % 0.27/0.55 (define @t19 () (_ @t14 @t16)) % 0.27/0.55 (define @t20 () (@list @t13 @t16 @t12)) % 0.27/0.55 (define @t21 () (forall @t20 (=> @t19 @t18))) % 0.27/0.55 (define @t22 () (_ tptp.lessf @t13)) % 0.27/0.55 (define @t23 () (_ @t22 @t12)) % 0.27/0.55 (define @t24 () (_ (_ tptp.lessf @t16) @t12)) % 0.27/0.55 (define @t25 () (not @t24)) % 0.27/0.55 (define @t26 () (=> @t25 @t17)) % 0.27/0.55 (define @t27 () (=> @t26 @t23)) % 0.27/0.55 (define @t28 () (_ @t22 @t16)) % 0.27/0.55 (define @t29 () (forall @t20 (=> @t28 @t27))) % 0.27/0.55 (define @t30 () (=> @t24 @t23)) % 0.27/0.55 (define @t31 () (not @t28)) % 0.27/0.55 (define @t32 () (=> @t31 @t19)) % 0.27/0.55 (define @t33 () (forall @t20 (=> @t32 @t30))) % 0.27/0.55 (define @t34 () (_ @t1 tptp.z)) % 0.27/0.55 (define @t35 () (_ @t3 tptp.z)) % 0.27/0.55 (define @t36 () (not @t35)) % 0.27/0.55 (define @t37 () (=> @t36 @t34)) % 0.27/0.55 (define @t38 () (not @t37)) % 0.27/0.55 (define @t39 () (tptp.eq @t13 @t12)) % 0.27/0.55 (define @t40 () (tptp.eq @t16 @t12)) % 0.27/0.55 (define @t41 () (not @t17)) % 0.27/0.55 (define @t42 () (tptp.eq @t13 @t16)) % 0.27/0.55 (define @t43 () (not @t19)) % 0.27/0.55 (define @t44 () (or @t43 @t41 @t15)) % 0.27/0.55 (define @t45 () (tptp.lessf @t13 @t12)) % 0.27/0.55 (define @t46 () (tptp.lessf @t16 @t12)) % 0.27/0.55 (define @t47 () (tptp.lessf @t13 @t16)) % 0.27/0.55 (define @t48 () (and @t31 @t43)) % 0.27/0.55 (define @t49 () (or @t48 @t25 @t23)) % 0.27/0.55 (define @t50 () (@list tptp.x tptp.y tptp.z)) % 0.27/0.55 (define @t51 () (and @t25 @t41)) % 0.27/0.55 (define @t52 () (or @t31 @t51 @t23)) % 0.27/0.55 (define @t53 () (tptp.eq tptp.y tptp.z)) % 0.27/0.55 (define @t54 () (not @t53)) % 0.27/0.55 (define @t55 () (tptp.lessf tptp.y tptp.z)) % 0.27/0.55 (define @t56 () (not @t55)) % 0.27/0.55 (define @t57 () (and @t56 @t54)) % 0.27/0.55 (define @t58 () (not @t57)) % 0.27/0.55 (define @t59 () (tptp.eq tptp.x tptp.z)) % 0.27/0.55 (define @t60 () (tptp.lessf tptp.x tptp.z)) % 0.27/0.55 (define @t61 () (tptp.lessf tptp.x tptp.y)) % 0.27/0.55 (define @t62 () (not @t61)) % 0.27/0.55 (define @t63 () (or @t62 @t57 @t60)) % 0.27/0.55 (define @t64 () (@list true true false)) % 0.27/0.55 (define @t65 () (tptp.eq tptp.x tptp.y)) % 0.27/0.55 (define @t66 () (@list true)) % 0.27/0.55 (define @t67 () (not @t65)) % 0.27/0.55 (define @t68 () (and @t62 @t67)) % 0.27/0.55 (define @t69 () (not @t68)) % 0.27/0.55 (define @t70 () (or @t68 @t56 @t60)) % 0.27/0.55 (define @t71 () (or @t67 @t54 @t59)) % 0.27/0.55 (define @t72 () (not @t71)) % 0.27/0.55 (define @t73 () (forall @t20 (or (not @t42) (not @t40) @t39))) % 0.27/0.55 (assume @p1 @t6) % 0.27/0.55 (assume @p2 @t10) % 0.27/0.55 (assume @p3 (forall (@list @t11) (=> (not (not @t11)) @t11))) % 0.27/0.55 (assume @p4 @t21) % 0.27/0.55 (assume @p5 @t29) % 0.27/0.55 (assume @p6 @t33) % 0.27/0.55 (assume @p7 @t38) % 0.27/0.55 (assume @p8 true) % 0.27/0.55 (step @p9 :rule refl :args (@t39)) % 0.27/0.55 (step @p10 :rule refl :args (@t15)) % 0.27/0.55 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t15 @t39))) % 0.27/0.55 (step @p12 :rule symm :premises (@p11)) % 0.27/0.55 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.27/0.55 (step @p14 :rule refl :args (@t40)) % 0.27/0.55 (step @p15 :rule refl :args (@t17)) % 0.27/0.55 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t17 @t40))) % 0.27/0.55 (step @p17 :rule symm :premises (@p16)) % 0.27/0.55 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.27/0.55 (step @p19 :rule cong :premises (@p18) :args (@t41)) % 0.27/0.55 (step @p20 :rule refl :args (@t42)) % 0.27/0.55 (step @p21 :rule refl :args (@t19)) % 0.27/0.55 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t19 @t42))) % 0.27/0.55 (step @p23 :rule symm :premises (@p22)) % 0.27/0.55 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.27/0.55 (step @p25 :rule cong :premises (@p24) :args (@t43)) % 0.27/0.55 (step @p26 :rule nary_cong :premises (@p25 @p19 @p13) :args (@t44)) % 0.27/0.55 (step @p27 :rule cong :premises (@p26) :args ((forall @t20 @t44))) % 0.27/0.55 (step @p28 :rule aci_norm :args ((= (or @t43 (or @t41 @t15)) @t44))) % 0.27/0.55 (step @p29 :rule bool-impl-elim :args (@t17 @t15)) % 0.27/0.55 (step @p30 :rule refl :args (@t43)) % 0.27/0.55 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t43 @t18))) % 0.27/0.55 (step @p32 :rule trans :premises (@p31 @p28)) % 0.27/0.55 (step @p33 :rule bool-impl-elim :args (@t19 @t18)) % 0.27/0.55 (step @p34 :rule trans :premises (@p33 @p32)) % 0.27/0.55 (step @p35 :rule cong :premises (@p34) :args (@t21)) % 0.27/0.55 (step @p36 :rule trans :premises (@p35 @p27)) % 0.27/0.55 (step @p37 :rule eq_resolve :premises (@p4 @p36)) % 0.27/0.55 (step @p38 :rule refl :args (@t45)) % 0.27/0.55 (step @p39 :rule refl :args (@t23)) % 0.27/0.55 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t23 @t45))) % 0.27/0.55 (step @p41 :rule symm :premises (@p40)) % 0.27/0.55 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.27/0.55 (step @p43 :rule refl :args (@t46)) % 0.27/0.55 (step @p44 :rule refl :args (@t24)) % 0.27/0.55 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t24 @t46))) % 0.27/0.55 (step @p46 :rule symm :premises (@p45)) % 0.27/0.55 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.27/0.55 (step @p48 :rule cong :premises (@p47) :args (@t25)) % 0.27/0.55 (step @p49 :rule refl :args (@t47)) % 0.27/0.55 (step @p50 :rule refl :args (@t28)) % 0.27/0.55 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t28 @t47))) % 0.27/0.55 (step @p52 :rule symm :premises (@p51)) % 0.27/0.55 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.27/0.55 (step @p54 :rule cong :premises (@p53) :args (@t31)) % 0.27/0.55 (step @p55 :rule nary_cong :premises (@p54 @p25) :args (@t48)) % 0.27/0.55 (step @p56 :rule nary_cong :premises (@p55 @p48 @p42) :args (@t49)) % 0.27/0.55 (step @p57 :rule cong :premises (@p56) :args ((forall @t20 @t49))) % 0.27/0.55 (step @p58 :rule aci_norm :args ((= (or @t48 (or @t25 @t23)) @t49))) % 0.27/0.55 (step @p59 :rule bool-impl-elim :args (@t24 @t23)) % 0.27/0.55 (step @p60 :rule bool-implies-de-morgan :args (@t31 @t19)) % 0.27/0.55 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or (not @t32) @t30))) % 0.27/0.55 (step @p62 :rule trans :premises (@p61 @p58)) % 0.27/0.55 (step @p63 :rule bool-impl-elim :args (@t32 @t30)) % 0.27/0.55 (step @p64 :rule trans :premises (@p63 @p62)) % 0.27/0.55 (step @p65 :rule cong :premises (@p64) :args (@t33)) % 0.27/0.55 (step @p66 :rule trans :premises (@p65 @p57)) % 0.27/0.55 (step @p67 :rule eq_resolve :premises (@p6 @p66)) % 0.27/0.55 (step @p68 :rule instantiate :premises (@p67) :args (@t50)) % 0.27/0.55 (step @p69 :rule nary_cong :premises (@p48 @p19) :args (@t51)) % 0.27/0.55 (step @p70 :rule nary_cong :premises (@p54 @p69 @p42) :args (@t52)) % 0.27/0.55 (step @p71 :rule cong :premises (@p70) :args ((forall @t20 @t52))) % 0.27/0.55 (step @p72 :rule aci_norm :args ((= (or @t31 (or @t51 @t23)) @t52))) % 0.27/0.55 (step @p73 :rule bool-implies-de-morgan :args (@t25 @t17)) % 0.27/0.55 (step @p74 :rule nary_cong :premises (@p73 @p39) :args ((or (not @t26) @t23))) % 0.27/0.55 (step @p75 :rule bool-impl-elim :args (@t26 @t23)) % 0.27/0.55 (step @p76 :rule trans :premises (@p75 @p74)) % 0.27/0.55 (step @p77 :rule refl :args (@t31)) % 0.27/0.55 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t31 @t27))) % 0.27/0.55 (step @p79 :rule trans :premises (@p78 @p72)) % 0.27/0.55 (step @p80 :rule bool-impl-elim :args (@t28 @t27)) % 0.27/0.55 (step @p81 :rule trans :premises (@p80 @p79)) % 0.27/0.55 (step @p82 :rule cong :premises (@p81) :args (@t29)) % 0.27/0.55 (step @p83 :rule trans :premises (@p82 @p71)) % 0.27/0.55 (step @p84 :rule eq_resolve :premises (@p5 @p83)) % 0.27/0.55 (step @p85 :rule instantiate :premises (@p84) :args (@t50)) % 0.27/0.55 (step @p86 :rule cnf_and_pos :args (@t57 0)) % 0.27/0.55 (step @p87 :rule reordering :premises (@p86) :args ((or @t56 @t58))) % 0.27/0.55 (step @p88 :rule cnf_and_pos :args (@t57 1)) % 0.27/0.55 (step @p89 :rule reordering :premises (@p88) :args ((or @t54 @t58))) % 0.27/0.55 (step @p90 :rule refl :args (@t53)) % 0.27/0.55 (step @p91 :rule bool-double-not-elim :args (@t55)) % 0.27/0.55 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or (not @t56) @t53))) % 0.27/0.55 (step @p93 :rule refl :args (@t53)) % 0.27/0.55 (step @p94 :rule refl :args (@t7)) % 0.27/0.55 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t7 @t53))) % 0.27/0.55 (step @p96 :rule symm :premises (@p95)) % 0.27/0.55 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 0.27/0.55 (step @p98 :rule refl :args (@t55)) % 0.27/0.55 (step @p99 :rule refl :args (@t8)) % 0.27/0.55 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t8 @t55))) % 0.27/0.55 (step @p101 :rule symm :premises (@p100)) % 0.27/0.55 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 0.27/0.55 (step @p103 :rule cong :premises (@p102) :args (@t9)) % 0.27/0.55 (step @p104 :rule cong :premises (@p103 @p97) :args (@t10)) % 0.35/0.55 (step @p105 :rule eq_resolve :premises (@p2 @p104)) % 0.35/0.55 (step @p106 :rule implies_elim :premises (@p105)) % 0.35/0.55 (step @p107 :rule eq_resolve :premises (@p106 @p92)) % 0.35/0.55 (step @p108 :rule reordering :premises (@p107) :args ((or @t53 @t55))) % 0.35/0.55 (step @p109 :rule chain_m_resolution :premises (@p108 @p89 @p87) :args (@t58 (@list true true) (@list @t53 @t55))) % 0.35/0.55 (step @p110 :rule refl :args (@t59)) % 0.35/0.55 (step @p111 :rule refl :args (@t34)) % 0.35/0.55 (step @p112 :rule cong :premises (@p111 @p110) :args ((= @t34 @t59))) % 0.35/0.55 (step @p113 :rule symm :premises (@p112)) % 0.35/0.55 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 0.35/0.55 (step @p115 :rule refl :args (@t60)) % 0.35/0.55 (step @p116 :rule refl :args (@t35)) % 0.35/0.55 (step @p117 :rule cong :premises (@p116 @p115) :args ((= @t35 @t60))) % 0.35/0.55 (step @p118 :rule symm :premises (@p117)) % 0.35/0.55 (step @p119 :rule eq_resolve :premises (@p116 @p118)) % 0.35/0.55 (step @p120 :rule cong :premises (@p119) :args (@t36)) % 0.35/0.55 (step @p121 :rule cong :premises (@p120 @p114) :args (@t37)) % 0.35/0.55 (step @p122 :rule cong :premises (@p121) :args (@t38)) % 0.35/0.55 (step @p123 :rule eq_resolve :premises (@p7 @p122)) % 0.35/0.55 (step @p124 :rule not_implies_elim1 :premises (@p123)) % 0.35/0.55 (step @p125 :rule cnf_or_pos :args (@t63)) % 0.35/0.55 (step @p126 :rule reordering :premises (@p125) :args ((or @t62 @t60 @t57 (not @t63)))) % 0.35/0.55 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p109 @p85) :args (@t62 @t64 (@list @t60 @t57 @t63))) % 0.35/0.55 (step @p128 :rule refl :args (@t65)) % 0.35/0.55 (step @p129 :rule bool-double-not-elim :args (@t61)) % 0.35/0.55 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or (not @t62) @t65))) % 0.35/0.55 (step @p131 :rule refl :args (@t65)) % 0.35/0.55 (step @p132 :rule refl :args (@t2)) % 0.35/0.55 (step @p133 :rule cong :premises (@p132 @p131) :args ((= @t2 @t65))) % 0.35/0.55 (step @p134 :rule symm :premises (@p133)) % 0.35/0.55 (step @p135 :rule eq_resolve :premises (@p132 @p134)) % 0.35/0.55 (step @p136 :rule refl :args (@t61)) % 0.35/0.55 (step @p137 :rule refl :args (@t4)) % 0.35/0.55 (step @p138 :rule cong :premises (@p137 @p136) :args ((= @t4 @t61))) % 0.35/0.55 (step @p139 :rule symm :premises (@p138)) % 0.35/0.55 (step @p140 :rule eq_resolve :premises (@p137 @p139)) % 0.35/0.55 (step @p141 :rule cong :premises (@p140) :args (@t5)) % 0.35/0.55 (step @p142 :rule cong :premises (@p141 @p135) :args (@t6)) % 0.35/0.55 (step @p143 :rule eq_resolve :premises (@p1 @p142)) % 0.35/0.55 (step @p144 :rule implies_elim :premises (@p143)) % 0.35/0.55 (step @p145 :rule eq_resolve :premises (@p144 @p130)) % 0.35/0.55 (step @p146 :rule reordering :premises (@p145) :args ((or @t65 @t61))) % 0.35/0.55 (step @p147 :rule chain_m_resolution :premises (@p146 @p127) :args (@t65 @t66 (@list @t61))) % 0.35/0.55 (step @p148 :rule cnf_and_pos :args (@t68 1)) % 0.35/0.55 (step @p149 :rule reordering :premises (@p148) :args ((or @t67 @t69))) % 0.35/0.55 (step @p150 :rule chain_m_resolution :premises (@p149 @p147) :args (@t69 (@list false) (@list @t65))) % 0.35/0.55 (step @p151 :rule cnf_or_pos :args (@t70)) % 0.35/0.55 (step @p152 :rule reordering :premises (@p151) :args ((or @t56 @t60 @t68 (not @t70)))) % 0.35/0.55 (step @p153 :rule chain_m_resolution :premises (@p152 @p124 @p150 @p68) :args (@t56 @t64 (@list @t60 @t68 @t70))) % 0.35/0.55 (step @p154 :rule chain_m_resolution :premises (@p108 @p153) :args (@t53 @t66 (@list @t55))) % 0.35/0.55 (step @p155 :rule not_implies_elim2 :premises (@p123)) % 0.35/0.55 (step @p156 :rule cnf_or_pos :args (@t71)) % 0.35/0.55 (step @p157 :rule reordering :premises (@p156) :args ((or @t59 @t67 @t54 @t72))) % 0.35/0.55 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p147 @p154) :args (@t72 (@list true false false) (@list @t59 @t65 @t53))) % 0.35/0.55 (assume-push @p165 @t73) % 0.35/0.55 (step @p160 :rule instantiate :premises (@p37) :args (@t50)) % 0.35/0.55 (step-pop @p166 :rule scope :premises (@p160)) % 0.35/0.55 (step @p161 :rule process_scope :premises (@p166) :args (@t71)) % 0.35/0.55 (step @p163 :rule implies_elim :premises (@p161)) % 0.35/0.55 (step @p164 false :rule chain_m_resolution :premises (@p163 @p158 @p37) :args (false (@list true false) (@list @t71 @t73))) % 0.35/0.55 ) % 0.35/0.55 % SZS output end Proof % 0.35/0.55 % cvc5 exiting %------------------------------------------------------------------------------