%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM758^1 : 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 : 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 08:40:35 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : NUM758^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n017.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 12:12:46 EDT 2026 % 0.16/0.36 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort tptp.frac 0) % 0.37/0.57 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.37/0.57 (declare-const tptp.moref (-> tptp.frac tptp.frac Bool)) % 0.37/0.57 (declare-const tptp.x tptp.frac) % 0.37/0.57 (declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac)) % 0.37/0.57 (declare-const tptp.z tptp.frac) % 0.37/0.57 (declare-const tptp.y tptp.frac) % 0.37/0.57 (define @t1 () (_ tptp.pf tptp.z)) % 0.37/0.57 (define @t2 () (_ @t1 tptp.y)) % 0.37/0.57 (define @t3 () (_ @t1 tptp.x)) % 0.37/0.57 (define @t4 () (_ (_ tptp.moref @t3) @t2)) % 0.37/0.57 (define @t5 () (@var "Xy" tptp.frac)) % 0.37/0.57 (define @t6 () (@var "Xx" tptp.frac)) % 0.37/0.57 (define @t7 () (_ (_ tptp.moref @t6) @t5)) % 0.37/0.57 (define @t8 () (@var "Xz" tptp.frac)) % 0.37/0.57 (define @t9 () (_ tptp.pf @t5)) % 0.37/0.57 (define @t10 () (_ @t9 @t8)) % 0.37/0.57 (define @t11 () (_ tptp.pf @t6)) % 0.37/0.57 (define @t12 () (_ @t11 @t8)) % 0.37/0.57 (define @t13 () (_ (_ tptp.moref @t12) @t10)) % 0.37/0.57 (define @t14 () (@list @t6 @t5 @t8)) % 0.37/0.57 (define @t15 () (forall @t14 (=> @t13 @t7))) % 0.37/0.58 (define @t16 () (@var "Xu" tptp.frac)) % 0.37/0.58 (define @t17 () (_ (_ tptp.moref @t8) @t16)) % 0.37/0.58 (define @t18 () (_ (_ tptp.eq @t5) @t16)) % 0.37/0.58 (define @t19 () (=> @t18 @t17)) % 0.37/0.58 (define @t20 () (_ (_ tptp.eq @t6) @t8)) % 0.37/0.58 (define @t21 () (=> @t20 @t19)) % 0.37/0.58 (define @t22 () (@list @t6 @t5 @t8 @t16)) % 0.37/0.58 (define @t23 () (forall @t22 (=> @t7 @t21))) % 0.37/0.58 (define @t24 () (_ @t9 @t6)) % 0.37/0.58 (define @t25 () (_ @t11 @t5)) % 0.37/0.58 (define @t26 () (_ (_ tptp.eq @t25) @t24)) % 0.37/0.58 (define @t27 () (forall (@list @t6 @t5) @t26)) % 0.37/0.58 (define @t28 () (_ (_ tptp.moref tptp.x) tptp.y)) % 0.37/0.58 (define @t29 () (not @t28)) % 0.37/0.58 (define @t30 () (tptp.moref @t6 @t5)) % 0.37/0.58 (define @t31 () (tptp.pf @t5 @t8)) % 0.37/0.58 (define @t32 () (tptp.pf @t6 @t8)) % 0.37/0.58 (define @t33 () (tptp.moref @t32 @t31)) % 0.37/0.58 (define @t34 () (not @t13)) % 0.37/0.58 (define @t35 () (or @t34 @t7)) % 0.37/0.58 (define @t36 () (tptp.moref @t8 @t16)) % 0.37/0.58 (define @t37 () (tptp.eq @t5 @t16)) % 0.37/0.58 (define @t38 () (not @t18)) % 0.37/0.58 (define @t39 () (tptp.eq @t6 @t8)) % 0.37/0.58 (define @t40 () (not @t20)) % 0.37/0.58 (define @t41 () (not @t7)) % 0.37/0.58 (define @t42 () (or @t41 @t40 @t38 @t17)) % 0.37/0.58 (define @t43 () (or @t40 @t38 @t17)) % 0.37/0.58 (define @t44 () (tptp.pf tptp.y tptp.z)) % 0.37/0.58 (define @t45 () (tptp.pf tptp.x tptp.z)) % 0.37/0.58 (define @t46 () (tptp.pf tptp.z tptp.y)) % 0.37/0.58 (define @t47 () (tptp.pf tptp.z tptp.x)) % 0.37/0.58 (define @t48 () (tptp.pf @t5 @t6)) % 0.37/0.58 (define @t49 () (tptp.pf @t6 @t5)) % 0.37/0.58 (define @t50 () (tptp.eq @t49 @t48)) % 0.37/0.58 (define @t51 () (tptp.moref @t47 @t46)) % 0.37/0.58 (define @t52 () (tptp.moref @t45 @t44)) % 0.37/0.58 (define @t53 () (tptp.eq @t46 @t44)) % 0.37/0.58 (define @t54 () (not @t53)) % 0.37/0.58 (define @t55 () (tptp.eq @t47 @t45)) % 0.37/0.58 (define @t56 () (not @t55)) % 0.37/0.58 (define @t57 () (not @t51)) % 0.37/0.58 (define @t58 () (or @t57 @t56 @t54 @t52)) % 0.37/0.58 (define @t59 () (tptp.moref tptp.x tptp.y)) % 0.37/0.58 (define @t60 () (not @t52)) % 0.37/0.58 (define @t61 () (or @t60 @t59)) % 0.37/0.58 (define @t62 () (not @t61)) % 0.37/0.58 (define @t63 () (@list true false)) % 0.37/0.58 (define @t64 () (forall @t14 (or (not @t33) @t30))) % 0.37/0.58 (assume @p1 @t4) % 0.37/0.58 (assume @p2 @t15) % 0.37/0.58 (assume @p3 @t23) % 0.37/0.58 (assume @p4 @t27) % 0.37/0.58 (assume @p5 @t29) % 0.37/0.58 (assume @p6 true) % 0.37/0.58 (step @p7 :rule refl :args (@t30)) % 0.37/0.58 (step @p8 :rule refl :args (@t7)) % 0.37/0.58 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t7 @t30))) % 0.37/0.58 (step @p10 :rule symm :premises (@p9)) % 0.37/0.58 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.37/0.58 (step @p12 :rule refl :args ((tptp.moref @t12 @t10))) % 0.37/0.58 (step @p13 :rule refl :args (@t31)) % 0.37/0.58 (step @p14 :rule refl :args (@t32)) % 0.37/0.58 (step @p15 :rule cong :premises (@p14 @p13) :args (@t33)) % 0.37/0.58 (step @p16 :rule trans :premises (@p15 @p12)) % 0.37/0.58 (step @p17 :rule refl :args (tptp.moref)) % 0.37/0.58 (step @p18 :rule ho_cong :premises (@p17 @p14)) % 0.37/0.58 (step @p19 :rule ho_cong :premises (@p18 @p13)) % 0.37/0.58 (step @p20 :rule cong :premises (@p19 @p16) :args ((= (_ (_ tptp.moref @t32) @t31) @t33))) % 0.37/0.58 (step @p21 :rule symm :premises (@p20)) % 0.37/0.58 (step @p22 :rule refl :args (@t13)) % 0.37/0.58 (step @p23 :rule eq_resolve :premises (@p22 @p21)) % 0.37/0.58 (step @p24 :rule refl :args (@t10)) % 0.37/0.58 (step @p25 :rule cong :premises (@p24 @p13) :args ((= @t10 @t31))) % 0.37/0.58 (step @p26 :rule symm :premises (@p25)) % 0.37/0.58 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.37/0.58 (step @p28 :rule refl :args (@t12)) % 0.37/0.58 (step @p29 :rule cong :premises (@p28 @p14) :args ((= @t12 @t32))) % 0.37/0.58 (step @p30 :rule symm :premises (@p29)) % 0.37/0.58 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.37/0.58 (step @p32 :rule ho_cong :premises (@p17 @p31)) % 0.37/0.58 (step @p33 :rule ho_cong :premises (@p32 @p27)) % 0.37/0.58 (step @p34 :rule trans :premises (@p33 @p23)) % 0.37/0.58 (step @p35 :rule cong :premises (@p34) :args (@t34)) % 0.37/0.58 (step @p36 :rule nary_cong :premises (@p35 @p11) :args (@t35)) % 0.37/0.58 (step @p37 :rule cong :premises (@p36) :args ((forall @t14 @t35))) % 0.37/0.58 (step @p38 :rule bool-impl-elim :args (@t13 @t7)) % 0.37/0.58 (step @p39 :rule cong :premises (@p38) :args (@t15)) % 0.37/0.58 (step @p40 :rule trans :premises (@p39 @p37)) % 0.37/0.58 (step @p41 :rule eq_resolve :premises (@p2 @p40)) % 0.37/0.58 (step @p42 :rule refl :args (@t36)) % 0.37/0.58 (step @p43 :rule refl :args (@t17)) % 0.37/0.58 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t17 @t36))) % 0.37/0.58 (step @p45 :rule symm :premises (@p44)) % 0.37/0.58 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.37/0.58 (step @p47 :rule refl :args (@t37)) % 0.37/0.58 (step @p48 :rule refl :args (@t18)) % 0.37/0.58 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t18 @t37))) % 0.37/0.58 (step @p50 :rule symm :premises (@p49)) % 0.37/0.58 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.37/0.58 (step @p52 :rule cong :premises (@p51) :args (@t38)) % 0.37/0.58 (step @p53 :rule refl :args (@t39)) % 0.37/0.58 (step @p54 :rule refl :args (@t20)) % 0.37/0.58 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t20 @t39))) % 0.37/0.58 (step @p56 :rule symm :premises (@p55)) % 0.37/0.58 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.37/0.58 (step @p58 :rule cong :premises (@p57) :args (@t40)) % 0.37/0.58 (step @p59 :rule cong :premises (@p11) :args (@t41)) % 0.37/0.58 (step @p60 :rule nary_cong :premises (@p59 @p58 @p52 @p46) :args (@t42)) % 0.37/0.58 (step @p61 :rule cong :premises (@p60) :args ((forall @t22 @t42))) % 0.37/0.58 (step @p62 :rule aci_norm :args ((= (or @t41 @t43) @t42))) % 0.37/0.58 (step @p63 :rule aci_norm :args ((= (or @t40 (or @t38 @t17)) @t43))) % 0.37/0.58 (step @p64 :rule bool-impl-elim :args (@t18 @t17)) % 0.37/0.58 (step @p65 :rule refl :args (@t40)) % 0.37/0.58 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t40 @t19))) % 0.37/0.58 (step @p67 :rule trans :premises (@p66 @p63)) % 0.37/0.58 (step @p68 :rule bool-impl-elim :args (@t20 @t19)) % 0.37/0.58 (step @p69 :rule trans :premises (@p68 @p67)) % 0.37/0.58 (step @p70 :rule refl :args (@t41)) % 0.37/0.58 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t41 @t21))) % 0.37/0.58 (step @p72 :rule trans :premises (@p71 @p62)) % 0.37/0.58 (step @p73 :rule bool-impl-elim :args (@t7 @t21)) % 0.37/0.58 (step @p74 :rule trans :premises (@p73 @p72)) % 0.37/0.58 (step @p75 :rule cong :premises (@p74) :args (@t23)) % 0.37/0.58 (step @p76 :rule trans :premises (@p75 @p61)) % 0.37/0.58 (step @p77 :rule eq_resolve :premises (@p3 @p76)) % 0.37/0.58 (step @p78 :rule instantiate :premises (@p77) :args ((@list @t47 @t46 @t45 @t44))) % 0.37/0.58 (step @p79 :rule refl :args ((tptp.eq @t25 @t24))) % 0.37/0.58 (step @p80 :rule refl :args (@t48)) % 0.37/0.58 (step @p81 :rule refl :args (@t49)) % 0.37/0.58 (step @p82 :rule cong :premises (@p81 @p80) :args (@t50)) % 0.37/0.58 (step @p83 :rule trans :premises (@p82 @p79)) % 0.37/0.58 (step @p84 :rule refl :args (tptp.eq)) % 0.37/0.58 (step @p85 :rule ho_cong :premises (@p84 @p81)) % 0.37/0.58 (step @p86 :rule ho_cong :premises (@p85 @p80)) % 0.37/0.58 (step @p87 :rule cong :premises (@p86 @p83) :args ((= (_ (_ tptp.eq @t49) @t48) @t50))) % 0.37/0.58 (step @p88 :rule symm :premises (@p87)) % 0.37/0.58 (step @p89 :rule refl :args (@t26)) % 0.37/0.58 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.37/0.58 (step @p91 :rule refl :args (@t24)) % 0.37/0.58 (step @p92 :rule cong :premises (@p91 @p80) :args ((= @t24 @t48))) % 0.37/0.58 (step @p93 :rule symm :premises (@p92)) % 0.37/0.58 (step @p94 :rule eq_resolve :premises (@p91 @p93)) % 0.37/0.58 (step @p95 :rule refl :args (@t25)) % 0.37/0.58 (step @p96 :rule cong :premises (@p95 @p81) :args ((= @t25 @t49))) % 0.37/0.58 (step @p97 :rule symm :premises (@p96)) % 0.37/0.58 (step @p98 :rule eq_resolve :premises (@p95 @p97)) % 0.37/0.58 (step @p99 :rule ho_cong :premises (@p84 @p98)) % 0.37/0.58 (step @p100 :rule ho_cong :premises (@p99 @p94)) % 0.37/0.58 (step @p101 :rule trans :premises (@p100 @p90)) % 0.37/0.58 (step @p102 :rule cong :premises (@p101) :args (@t27)) % 0.37/0.58 (step @p103 :rule eq_resolve :premises (@p4 @p102)) % 0.37/0.58 (step @p104 :rule instantiate :premises (@p103) :args ((@list tptp.z tptp.y))) % 0.37/0.58 (step @p105 :rule instantiate :premises (@p103) :args ((@list tptp.z tptp.x))) % 0.37/0.58 (step @p106 :rule refl :args ((tptp.moref @t3 @t2))) % 0.37/0.58 (step @p107 :rule refl :args (@t46)) % 0.37/0.58 (step @p108 :rule refl :args (@t47)) % 0.37/0.58 (step @p109 :rule cong :premises (@p108 @p107) :args (@t51)) % 0.37/0.58 (step @p110 :rule trans :premises (@p109 @p106)) % 0.37/0.58 (step @p111 :rule ho_cong :premises (@p17 @p108)) % 0.37/0.58 (step @p112 :rule ho_cong :premises (@p111 @p107)) % 0.37/0.58 (step @p113 :rule cong :premises (@p112 @p110) :args ((= (_ (_ tptp.moref @t47) @t46) @t51))) % 0.37/0.58 (step @p114 :rule symm :premises (@p113)) % 0.37/0.58 (step @p115 :rule refl :args (@t4)) % 0.37/0.58 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.37/0.58 (step @p117 :rule refl :args (@t2)) % 0.37/0.58 (step @p118 :rule cong :premises (@p117 @p107) :args ((= @t2 @t46))) % 0.37/0.58 (step @p119 :rule symm :premises (@p118)) % 0.37/0.58 (step @p120 :rule eq_resolve :premises (@p117 @p119)) % 0.37/0.58 (step @p121 :rule refl :args (@t3)) % 0.37/0.58 (step @p122 :rule cong :premises (@p121 @p108) :args ((= @t3 @t47))) % 0.37/0.58 (step @p123 :rule symm :premises (@p122)) % 0.37/0.58 (step @p124 :rule eq_resolve :premises (@p121 @p123)) % 0.37/0.58 (step @p125 :rule refl :args (tptp.moref)) % 0.37/0.58 (step @p126 :rule ho_cong :premises (@p125 @p124)) % 0.37/0.58 (step @p127 :rule ho_cong :premises (@p126 @p120)) % 0.37/0.58 (step @p128 :rule trans :premises (@p127 @p116)) % 0.37/0.58 (step @p129 :rule eq_resolve :premises (@p1 @p128)) % 0.37/0.58 (step @p130 :rule cnf_or_pos :args (@t58)) % 0.37/0.58 (step @p131 :rule reordering :premises (@p130) :args ((or @t57 @t56 @t54 @t52 (not @t58)))) % 0.37/0.58 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p105 @p104 @p78) :args (@t52 (@list false false false false) (@list @t51 @t55 @t53 @t58))) % 0.37/0.58 (step @p133 :rule refl :args (@t59)) % 0.37/0.58 (step @p134 :rule refl :args (@t28)) % 0.37/0.58 (step @p135 :rule cong :premises (@p134 @p133) :args ((= @t28 @t59))) % 0.37/0.58 (step @p136 :rule symm :premises (@p135)) % 0.37/0.58 (step @p137 :rule eq_resolve :premises (@p134 @p136)) % 0.37/0.58 (step @p138 :rule cong :premises (@p137) :args (@t29)) % 0.37/0.58 (step @p139 :rule eq_resolve :premises (@p5 @p138)) % 0.37/0.58 (step @p140 :rule cnf_or_pos :args (@t61)) % 0.37/0.58 (step @p141 :rule reordering :premises (@p140) :args ((or @t59 @t60 @t62))) % 0.37/0.58 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p132) :args (@t62 @t63 (@list @t59 @t52))) % 0.37/0.58 (assume-push @p149 @t64) % 0.37/0.58 (step @p144 :rule instantiate :premises (@p41) :args ((@list tptp.x tptp.y tptp.z))) % 0.37/0.58 (step-pop @p150 :rule scope :premises (@p144)) % 0.37/0.58 (step @p145 :rule process_scope :premises (@p150) :args (@t61)) % 0.37/0.58 (step @p147 :rule implies_elim :premises (@p145)) % 0.37/0.58 (step @p148 false :rule chain_m_resolution :premises (@p147 @p142 @p41) :args (false @t63 (@list @t61 @t64))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------