%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : REL001+1 : 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 : n026.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 08:44:50 AM UTC 2026 % Result : Theorem 15.93s 16.39s % Output : Proof 15.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : REL001+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n026.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 13:24:10 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.93/16.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.93/16.39 --- Run --no-e-matching --full-saturate-quant at 6... % 15.93/16.39 % SZS status Theorem % 15.93/16.39 % SZS output start Proof % 15.93/16.39 ( % 15.93/16.39 (declare-sort $$unsorted 0) % 15.93/16.39 (declare-const tptp.top $$unsorted) % 15.93/16.39 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 15.93/16.39 (declare-const tptp.one $$unsorted) % 15.93/16.39 (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted)) % 15.93/16.39 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 15.93/16.39 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 15.93/16.39 (declare-const tptp.zero $$unsorted) % 15.93/16.39 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 15.93/16.39 (define @t1 () (@var "X0" $$unsorted)) % 15.93/16.39 (define @t2 () (@var "X1" $$unsorted)) % 15.93/16.39 (define @t3 () (tptp.join @t1 @t2)) % 15.93/16.39 (define @t4 () (@list @t1 @t2)) % 15.93/16.39 (define @t5 () (forall @t4 (= @t3 (tptp.join @t2 @t1)))) % 15.93/16.39 (define @t6 () (@var "X2" $$unsorted)) % 15.93/16.39 (define @t7 () (@list @t1 @t2 @t6)) % 15.93/16.39 (define @t8 () (forall @t7 (= (tptp.join @t1 (tptp.join @t2 @t6)) (tptp.join @t3 @t6)))) % 15.93/16.39 (define @t9 () (tptp.complement @t1)) % 15.93/16.39 (define @t10 () (tptp.complement @t2)) % 15.93/16.39 (define @t11 () (tptp.complement (tptp.join @t9 @t10))) % 15.93/16.39 (define @t12 () (tptp.meet @t1 @t2)) % 15.93/16.39 (define @t13 () (forall @t4 (= @t12 @t11))) % 15.93/16.39 (define @t14 () (tptp.composition @t1 @t2)) % 15.93/16.39 (define @t15 () (tptp.composition @t2 @t6)) % 15.93/16.39 (define @t16 () (tptp.composition @t1 tptp.one)) % 15.93/16.39 (define @t17 () (@list @t1)) % 15.93/16.39 (define @t18 () (forall @t17 (= @t16 @t1))) % 15.93/16.39 (define @t19 () (tptp.converse @t1)) % 15.93/16.39 (define @t20 () (tptp.converse @t19)) % 15.93/16.39 (define @t21 () (forall @t17 (= @t20 @t1))) % 15.93/16.39 (define @t22 () (tptp.converse @t2)) % 15.93/16.39 (define @t23 () (tptp.join (tptp.composition @t19 (tptp.complement @t14)) @t10)) % 15.93/16.39 (define @t24 () (forall @t4 (= @t23 @t10))) % 15.93/16.39 (define @t25 () (tptp.join tptp.zero @t1)) % 15.93/16.39 (define @t26 () (forall @t17 (= @t25 @t1))) % 15.93/16.39 (define @t27 () (not @t26)) % 15.93/16.39 (define @t28 () (@quantifiers_skolemize (forall @t17 (= @t1 @t25)) 0)) % 15.93/16.39 (define @t29 () (tptp.complement tptp.one)) % 15.93/16.39 (define @t30 () (tptp.join @t29 @t29)) % 15.93/16.39 (define @t31 () (tptp.complement @t30)) % 15.93/16.39 (define @t32 () (@list tptp.one)) % 15.93/16.39 (define @t33 () (tptp.complement (tptp.join @t31 (tptp.complement @t31)))) % 15.93/16.39 (define @t34 () (tptp.complement @t28)) % 15.93/16.39 (define @t35 () (tptp.join tptp.one @t29)) % 15.93/16.39 (define @t36 () (tptp.join @t29 tptp.one)) % 15.93/16.39 (define @t37 () (= @t35 @t36)) % 15.93/16.39 (define @t38 () (@list false)) % 15.93/16.39 (define @t39 () (tptp.complement @t36)) % 15.93/16.39 (define @t40 () (tptp.meet @t30 @t31)) % 15.93/16.39 (define @t41 () (forall @t4 (= @t11 @t12))) % 15.93/16.39 (define @t42 () (= @t33 @t40)) % 15.93/16.39 (define @t43 () (tptp.converse tptp.zero)) % 15.93/16.39 (define @t44 () (tptp.converse tptp.one)) % 15.93/16.39 (define @t45 () (tptp.composition @t44 tptp.one)) % 15.93/16.39 (define @t46 () (tptp.composition @t43 @t44)) % 15.93/16.39 (define @t47 () (tptp.converse @t36)) % 15.93/16.39 (define @t48 () (tptp.composition @t47 @t44)) % 15.93/16.39 (define @t49 () (tptp.composition tptp.one @t36)) % 15.93/16.39 (define @t50 () (tptp.complement @t49)) % 15.93/16.39 (define @t51 () (tptp.composition @t44 @t50)) % 15.93/16.39 (define @t52 () (tptp.complement (tptp.join @t34 @t34))) % 15.93/16.39 (define @t53 () (tptp.join @t52 @t51)) % 15.93/16.39 (define @t54 () (tptp.join @t53 @t39)) % 15.93/16.39 (define @t55 () (tptp.join @t52 (tptp.join @t51 @t39))) % 15.93/16.39 (define @t56 () (= @t55 @t54)) % 15.93/16.39 (assume @p1 @t5) % 15.93/16.39 (assume @p2 @t8) % 15.93/16.39 (assume @p3 (forall @t4 (= @t1 (tptp.join @t11 (tptp.complement (tptp.join @t9 @t2)))))) % 15.93/16.39 (assume @p4 @t13) % 15.93/16.39 (assume @p5 (forall @t7 (= (tptp.composition @t1 @t15) (tptp.composition @t14 @t6)))) % 15.93/16.39 (assume @p6 @t18) % 15.93/16.39 (assume @p7 (forall @t7 (= (tptp.composition @t3 @t6) (tptp.join (tptp.composition @t1 @t6) @t15)))) % 15.93/16.39 (assume @p8 @t21) % 15.93/16.39 (assume @p9 (forall @t4 (= (tptp.converse @t3) (tptp.join @t19 @t22)))) % 15.93/16.39 (assume @p10 (forall @t4 (= (tptp.converse @t14) (tptp.composition @t22 @t19)))) % 15.93/16.39 (assume @p11 @t24) % 15.93/16.39 (assume @p12 (forall @t17 (= tptp.top (tptp.join @t1 @t9)))) % 15.93/16.39 (assume @p13 (forall @t17 (= tptp.zero (tptp.meet @t1 @t9)))) % 15.93/16.39 (assume @p14 @t27) % 15.93/16.39 (assume @p15 true) % 15.93/16.39 (step @p16 :rule eq-symm :args (@t25 @t1)) % 15.93/16.39 (step @p17 :rule cong :premises (@p16) :args (@t26)) % 15.93/16.39 (step @p18 :rule cong :premises (@p17) :args (@t27)) % 15.93/16.39 (step @p19 :rule eq_resolve :premises (@p14 @p18)) % 15.93/16.39 (step @p20 :rule skolemize :premises (@p19)) % 15.93/16.39 (step @p21 :rule false_intro :premises (@p20)) % 15.93/16.39 (step @p22 :rule instantiate :premises (@p1) :args ((@list tptp.zero @t28))) % 15.93/16.39 (step @p23 :rule symm :premises (@p22)) % 15.93/16.39 (step @p24 :rule instantiate :premises (@p13) :args ((@list @t30))) % 15.93/16.39 (step @p25 :rule symm :premises (@p24)) % 15.93/16.39 (step @p26 :rule eq-symm :args (@t12 @t11)) % 15.93/16.39 (step @p27 :rule cong :premises (@p26) :args (@t13)) % 15.93/16.39 (step @p28 :rule eq_resolve :premises (@p4 @p27)) % 15.93/16.39 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t30 @t31))) % 15.93/16.39 (step @p30 :rule instantiate :premises (@p1) :args ((@list tptp.one @t29))) % 15.93/16.39 (step @p31 :rule instantiate :premises (@p12) :args (@t32)) % 15.93/16.39 (step @p32 :rule instantiate :premises (@p12) :args ((@list @t31))) % 15.93/16.39 (step @p33 :rule symm :premises (@p32)) % 15.93/16.39 (step @p34 :rule trans :premises (@p33 @p31 @p30)) % 15.93/16.39 (step @p35 :rule cong :premises (@p34) :args (@t33)) % 15.93/16.39 (step @p36 :rule symm :premises (@p35)) % 15.93/16.39 (step @p37 :rule trans :premises (@p36 @p29 @p25)) % 15.93/16.39 (step @p38 :rule instantiate :premises (@p3) :args ((@list @t28 @t28))) % 15.93/16.39 (step @p39 :rule symm :premises (@p38)) % 15.93/16.39 (step @p40 :rule instantiate :premises (@p1) :args ((@list @t28 @t34))) % 15.93/16.39 (step @p41 :rule instantiate :premises (@p12) :args ((@list @t28))) % 15.93/16.39 (step @p42 :rule symm :premises (@p31)) % 15.93/16.39 (step @p43 :rule eq-symm :args (@t35 @t36)) % 15.93/16.39 (step @p44 :rule refl :args (@t5)) % 15.93/16.39 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t5 @t37))) % 15.93/16.39 (assume-push @p136 @t5) % 15.93/16.39 (step-pop @p137 :rule scope :premises (@p30)) % 15.93/16.39 (step @p47 :rule process_scope :premises (@p137) :args (@t37)) % 15.93/16.39 (step @p49 :rule eq_resolve :premises (@p47 @p45)) % 15.93/16.39 (step @p50 :rule implies_elim :premises (@p49)) % 15.93/16.39 (step @p51 :rule chain_m_resolution :premises (@p50 @p1) :args ((= @t36 @t35) @t38 (@list @t5))) % 15.93/16.39 (step @p52 :rule trans :premises (@p51 @p42 @p41 @p40)) % 15.93/16.39 (step @p53 :rule cong :premises (@p52) :args (@t39)) % 15.93/16.39 (step @p54 :rule eq-symm :args (@t33 @t40)) % 15.93/16.39 (step @p55 :rule refl :args (@t41)) % 15.93/16.39 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t41 @t42))) % 15.93/16.39 (assume-push @p138 @t41) % 15.93/16.39 (step-pop @p139 :rule scope :premises (@p29)) % 15.93/16.39 (step @p58 :rule process_scope :premises (@p139) :args (@t42)) % 15.93/16.39 (step @p60 :rule eq_resolve :premises (@p58 @p56)) % 15.93/16.39 (step @p61 :rule implies_elim :premises (@p60)) % 15.93/16.39 (step @p62 :rule chain_m_resolution :premises (@p61 @p28) :args ((= @t40 @t33) @t38 (@list @t41))) % 15.93/16.39 (step @p63 :rule eq-symm :args (@t20 @t1)) % 15.93/16.39 (step @p64 :rule cong :premises (@p63) :args (@t21)) % 15.93/16.39 (step @p65 :rule eq_resolve :premises (@p8 @p64)) % 15.93/16.39 (step @p66 :rule instantiate :premises (@p65) :args ((@list tptp.zero))) % 15.93/16.39 (step @p67 :rule symm :premises (@p66)) % 15.93/16.39 (step @p68 :rule eq-symm :args (@t16 @t1)) % 15.93/16.39 (step @p69 :rule cong :premises (@p68) :args (@t18)) % 15.93/16.39 (step @p70 :rule eq_resolve :premises (@p6 @p69)) % 15.93/16.39 (step @p71 :rule instantiate :premises (@p70) :args ((@list @t43))) % 15.93/16.39 (step @p72 :rule symm :premises (@p71)) % 15.93/16.39 (step @p73 :rule instantiate :premises (@p65) :args (@t32)) % 15.93/16.39 (step @p74 :rule symm :premises (@p73)) % 15.93/16.39 (step @p75 :rule instantiate :premises (@p70) :args ((@list @t44))) % 15.93/16.39 (step @p76 :rule symm :premises (@p75)) % 15.93/16.39 (step @p77 :rule cong :premises (@p76) :args ((tptp.converse @t45))) % 15.93/16.39 (step @p78 :rule instantiate :premises (@p10) :args ((@list @t44 tptp.one))) % 15.93/16.39 (step @p79 :rule symm :premises (@p78)) % 15.93/16.39 (step @p80 :rule refl :args (@t44)) % 15.93/16.39 (step @p81 :rule cong :premises (@p80 @p73) :args (@t45)) % 15.93/16.39 (step @p82 :rule trans :premises (@p75 @p81 @p79 @p77 @p74)) % 15.93/16.39 (step @p83 :rule refl :args (@t43)) % 15.93/16.39 (step @p84 :rule cong :premises (@p83 @p82) :args (@t46)) % 15.93/16.39 (step @p85 :rule trans :premises (@p84 @p72)) % 15.93/16.39 (step @p86 :rule cong :premises (@p85) :args ((tptp.converse @t46))) % 15.93/16.39 (step @p87 :rule instantiate :premises (@p10) :args ((@list @t43 @t44))) % 15.93/16.39 (step @p88 :rule symm :premises (@p87)) % 15.93/16.39 (step @p89 :rule cong :premises (@p73 @p66) :args ((tptp.composition tptp.one tptp.zero))) % 15.93/16.39 (step @p90 :rule instantiate :premises (@p65) :args ((@list @t36))) % 15.93/16.39 (step @p91 :rule symm :premises (@p90)) % 15.93/16.39 (step @p92 :rule instantiate :premises (@p70) :args ((@list @t47))) % 15.93/16.39 (step @p93 :rule symm :premises (@p92)) % 15.93/16.39 (step @p94 :rule refl :args (@t47)) % 15.93/16.39 (step @p95 :rule cong :premises (@p94 @p82) :args (@t48)) % 15.93/16.39 (step @p96 :rule trans :premises (@p95 @p93)) % 15.93/16.39 (step @p97 :rule cong :premises (@p96) :args ((tptp.converse @t48))) % 15.93/16.40 (step @p98 :rule instantiate :premises (@p10) :args ((@list @t47 @t44))) % 15.93/16.40 (step @p99 :rule symm :premises (@p98)) % 15.93/16.40 (step @p100 :rule instantiate :premises (@p70) :args (@t32)) % 15.93/16.40 (step @p101 :rule symm :premises (@p100)) % 15.93/16.40 (step @p102 :rule trans :premises (@p101 @p73)) % 15.93/16.40 (step @p103 :rule cong :premises (@p102 @p90) :args ((tptp.composition (tptp.composition tptp.one tptp.one) @t36))) % 15.93/16.40 (step @p104 :rule refl :args (@t36)) % 15.93/16.40 (step @p105 :rule cong :premises (@p100 @p104) :args (@t49)) % 15.93/16.40 (step @p106 :rule trans :premises (@p105 @p103 @p99 @p97 @p91)) % 15.93/16.40 (step @p107 :rule cong :premises (@p106) :args (@t50)) % 15.93/16.40 (step @p108 :rule trans :premises (@p107 @p36 @p29 @p25)) % 15.93/16.40 (step @p109 :rule cong :premises (@p82 @p108) :args (@t51)) % 15.93/16.40 (step @p110 :rule trans :premises (@p109 @p89 @p88 @p86 @p67 @p24 @p62 @p35 @p53)) % 15.93/16.40 (step @p111 :rule refl :args (@t52)) % 15.93/16.40 (step @p112 :rule cong :premises (@p111 @p110) :args (@t53)) % 15.93/16.40 (step @p113 :rule trans :premises (@p112 @p39)) % 15.93/16.40 (step @p114 :rule cong :premises (@p113 @p37) :args (@t54)) % 15.93/16.40 (step @p115 :rule trans :premises (@p114 @p23)) % 15.93/16.40 (step @p116 :rule symm :premises (@p109)) % 15.93/16.40 (step @p117 :rule symm :premises (@p89)) % 15.93/16.40 (step @p118 :rule symm :premises (@p86)) % 15.93/16.40 (step @p119 :rule eq-symm :args (@t23 @t10)) % 15.93/16.40 (step @p120 :rule cong :premises (@p119) :args (@t24)) % 15.93/16.40 (step @p121 :rule eq_resolve :premises (@p11 @p120)) % 15.93/16.40 (step @p122 :rule instantiate :premises (@p121) :args ((@list tptp.one @t36))) % 15.93/16.40 (step @p123 :rule symm :premises (@p122)) % 15.93/16.40 (step @p124 :rule trans :premises (@p123 @p36 @p29 @p25 @p66 @p118 @p87 @p117 @p116)) % 15.93/16.40 (step @p125 :rule cong :premises (@p111 @p124) :args (@t55)) % 15.93/16.40 (step @p126 :rule trans :premises (@p125 @p112 @p39)) % 15.93/16.40 (step @p127 :rule cong :premises (@p126 @p115) :args (@t56)) % 15.93/16.40 (step @p128 :rule trans :premises (@p127 @p21)) % 15.93/16.40 (step @p129 :rule false_elim :premises (@p128)) % 15.93/16.40 (assume-push @p140 @t8) % 15.93/16.40 (step @p131 :rule instantiate :premises (@p2) :args ((@list @t52 @t51 @t39))) % 15.93/16.40 (step-pop @p141 :rule scope :premises (@p131)) % 15.93/16.40 (step @p132 :rule process_scope :premises (@p141) :args (@t56)) % 15.93/16.40 (step @p134 :rule implies_elim :premises (@p132)) % 15.93/16.40 (step @p135 false :rule chain_m_resolution :premises (@p134 @p129 @p2) :args (false (@list true false) (@list @t56 @t8))) % 15.93/16.40 ) % 15.93/16.40 % SZS output end Proof % 15.93/16.40 % cvc5 exiting %------------------------------------------------------------------------------