%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : REL015+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:44:54 AM UTC 2026 % Result : Theorem 15.86s 16.19s % Output : Proof 15.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : REL015+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 13:29:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.33 %----Proving TF0_NAR, FOF, or CNF % 15.86/16.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.86/16.19 --- Run --no-e-matching --full-saturate-quant at 6... % 15.86/16.19 % SZS status Theorem % 15.86/16.19 % SZS output start Proof % 15.86/16.19 ( % 15.86/16.19 (declare-sort $$unsorted 0) % 15.86/16.19 (declare-const tptp.top $$unsorted) % 15.86/16.19 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 15.86/16.19 (declare-const tptp.one $$unsorted) % 15.86/16.19 (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted)) % 15.86/16.19 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 15.86/16.19 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 15.86/16.19 (declare-const tptp.zero $$unsorted) % 15.86/16.19 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 15.86/16.19 (define @t1 () (@var "X0" $$unsorted)) % 15.86/16.19 (define @t2 () (@var "X1" $$unsorted)) % 15.86/16.19 (define @t3 () (tptp.join @t1 @t2)) % 15.86/16.19 (define @t4 () (@list @t1 @t2)) % 15.86/16.19 (define @t5 () (forall @t4 (= @t3 (tptp.join @t2 @t1)))) % 15.86/16.19 (define @t6 () (@var "X2" $$unsorted)) % 15.86/16.19 (define @t7 () (@list @t1 @t2 @t6)) % 15.86/16.19 (define @t8 () (forall @t7 (= (tptp.join @t1 (tptp.join @t2 @t6)) (tptp.join @t3 @t6)))) % 15.86/16.19 (define @t9 () (tptp.complement @t1)) % 15.86/16.19 (define @t10 () (tptp.complement @t2)) % 15.86/16.19 (define @t11 () (tptp.complement (tptp.join @t9 @t10))) % 15.86/16.19 (define @t12 () (tptp.composition @t1 @t2)) % 15.86/16.19 (define @t13 () (tptp.composition @t2 @t6)) % 15.86/16.19 (define @t14 () (tptp.composition @t1 tptp.one)) % 15.86/16.19 (define @t15 () (@list @t1)) % 15.86/16.19 (define @t16 () (forall @t15 (= @t14 @t1))) % 15.86/16.19 (define @t17 () (tptp.converse @t1)) % 15.86/16.19 (define @t18 () (tptp.converse @t17)) % 15.86/16.19 (define @t19 () (forall @t15 (= @t18 @t1))) % 15.86/16.19 (define @t20 () (tptp.converse @t2)) % 15.86/16.19 (define @t21 () (tptp.composition tptp.top tptp.top)) % 15.86/16.19 (define @t22 () (tptp.complement @t21)) % 15.86/16.19 (define @t23 () (tptp.join (tptp.join @t21 @t21) @t22)) % 15.86/16.19 (define @t24 () (tptp.join @t21 (tptp.join @t21 @t22))) % 15.86/16.19 (define @t25 () (= @t24 @t23)) % 15.86/16.19 (define @t26 () (= @t23 @t24)) % 15.86/16.19 (define @t27 () (@list tptp.top)) % 15.86/16.19 (define @t28 () (tptp.join tptp.one tptp.top)) % 15.86/16.19 (define @t29 () (@list tptp.one)) % 15.86/16.19 (define @t30 () (tptp.complement tptp.one)) % 15.86/16.19 (define @t31 () (tptp.join tptp.one @t30)) % 15.86/16.19 (define @t32 () (tptp.join @t30 tptp.one)) % 15.86/16.19 (define @t33 () (= @t31 @t32)) % 15.86/16.19 (define @t34 () (tptp.complement @t32)) % 15.86/16.19 (define @t35 () (tptp.join @t30 @t30)) % 15.86/16.19 (define @t36 () (tptp.complement @t35)) % 15.86/16.19 (define @t37 () (tptp.join @t35 @t36)) % 15.86/16.19 (define @t38 () (tptp.join @t30 tptp.top)) % 15.86/16.19 (define @t39 () (tptp.join tptp.top tptp.top)) % 15.86/16.19 (define @t40 () (tptp.complement (tptp.join @t30 @t28))) % 15.86/16.19 (define @t41 () (tptp.converse tptp.top)) % 15.86/16.19 (define @t42 () (tptp.converse tptp.one)) % 15.86/16.19 (define @t43 () (tptp.composition @t42 tptp.one)) % 15.86/16.19 (define @t44 () (tptp.composition @t41 @t42)) % 15.86/16.19 (define @t45 () (tptp.composition tptp.one tptp.top)) % 15.86/16.19 (define @t46 () (tptp.join @t45 @t35)) % 15.86/16.19 (define @t47 () (tptp.complement @t28)) % 15.86/16.19 (define @t48 () (tptp.join @t30 @t47)) % 15.86/16.19 (define @t49 () (tptp.complement @t48)) % 15.86/16.19 (define @t50 () (tptp.join tptp.top @t49)) % 15.86/16.19 (define @t51 () (tptp.join tptp.top tptp.one)) % 15.86/16.19 (assume @p1 @t5) % 15.86/16.19 (assume @p2 @t8) % 15.86/16.19 (assume @p3 (forall @t4 (= @t1 (tptp.join @t11 (tptp.complement (tptp.join @t9 @t2)))))) % 15.86/16.19 (assume @p4 (forall @t4 (= (tptp.meet @t1 @t2) @t11))) % 15.86/16.19 (assume @p5 (forall @t7 (= (tptp.composition @t1 @t13) (tptp.composition @t12 @t6)))) % 15.86/16.19 (assume @p6 @t16) % 15.86/16.19 (assume @p7 (forall @t7 (= (tptp.composition @t3 @t6) (tptp.join (tptp.composition @t1 @t6) @t13)))) % 15.86/16.19 (assume @p8 @t19) % 15.86/16.19 (assume @p9 (forall @t4 (= (tptp.converse @t3) (tptp.join @t17 @t20)))) % 15.86/16.19 (assume @p10 (forall @t4 (= (tptp.converse @t12) (tptp.composition @t20 @t17)))) % 15.86/16.19 (assume @p11 (forall @t4 (= (tptp.join (tptp.composition @t17 (tptp.complement @t12)) @t10) @t10))) % 15.86/16.19 (assume @p12 (forall @t15 (= tptp.top (tptp.join @t1 @t9)))) % 15.86/16.19 (assume @p13 (forall @t15 (= tptp.zero (tptp.meet @t1 @t9)))) % 15.86/16.19 (assume @p14 (not (= @t21 tptp.top))) % 15.86/16.19 (assume @p15 true) % 15.86/16.19 (step @p16 :rule bool-eq-false :args (@t25)) % 15.86/16.19 (step @p17 :rule symm :premises (@p16)) % 15.86/16.19 (step @p18 :rule eq-symm :args (@t23 @t24)) % 15.86/16.19 (step @p19 :rule cong :premises (@p18) :args ((not @t26))) % 15.86/16.19 (step @p20 :rule bool-eq-false :args (@t26)) % 15.86/16.19 (step @p21 :rule trans :premises (@p20 @p19)) % 15.86/16.19 (step @p22 :rule trans :premises (@p21 @p17)) % 15.86/16.19 (step @p23 :rule symm :premises (@p14)) % 15.86/16.19 (step @p24 :rule false_intro :premises (@p23)) % 15.86/16.19 (step @p25 :rule refl :args (tptp.top)) % 15.86/16.19 (step @p26 :rule eq-symm :args (@t14 @t1)) % 15.86/16.19 (step @p27 :rule cong :premises (@p26) :args (@t16)) % 15.86/16.19 (step @p28 :rule eq_resolve :premises (@p6 @p27)) % 15.86/16.19 (step @p29 :rule instantiate :premises (@p28) :args (@t27)) % 15.86/16.19 (step @p30 :rule symm :premises (@p29)) % 15.86/16.19 (step @p31 :rule cong :premises (@p30 @p25) :args ((tptp.composition (tptp.composition tptp.top tptp.one) tptp.top))) % 15.86/16.19 (step @p32 :rule instantiate :premises (@p12) :args ((@list @t28))) % 15.86/16.19 (step @p33 :rule symm :premises (@p32)) % 15.86/16.19 (step @p34 :rule instantiate :premises (@p12) :args (@t27)) % 15.86/16.19 (step @p35 :rule symm :premises (@p34)) % 15.86/16.19 (step @p36 :rule instantiate :premises (@p12) :args (@t29)) % 15.86/16.19 (step @p37 :rule symm :premises (@p36)) % 15.86/16.19 (step @p38 :rule eq-symm :args (@t31 @t32)) % 15.86/16.19 (step @p39 :rule refl :args (@t5)) % 15.86/16.19 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t5 @t33))) % 15.86/16.19 (assume-push @p174 @t5) % 15.86/16.19 (step @p42 :rule instantiate :premises (@p1) :args ((@list tptp.one @t30))) % 15.86/16.19 (step-pop @p175 :rule scope :premises (@p42)) % 15.86/16.19 (step @p43 :rule process_scope :premises (@p175) :args (@t33)) % 15.86/16.19 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 15.86/16.19 (step @p46 :rule implies_elim :premises (@p45)) % 15.86/16.19 (step @p47 :rule chain_m_resolution :premises (@p46 @p1) :args ((= @t32 @t31) (@list false) (@list @t5))) % 15.86/16.19 (step @p48 :rule trans :premises (@p47 @p37)) % 15.86/16.19 (step @p49 :rule cong :premises (@p48) :args (@t34)) % 15.86/16.19 (step @p50 :rule instantiate :premises (@p12) :args ((@list @t35))) % 15.86/16.19 (step @p51 :rule symm :premises (@p50)) % 15.86/16.19 (step @p52 :rule cong :premises (@p51 @p49) :args ((tptp.join @t37 @t34))) % 15.86/16.19 (step @p53 :rule instantiate :premises (@p2) :args ((@list @t35 @t36 @t34))) % 15.86/16.19 (step @p54 :rule instantiate :premises (@p3) :args ((@list tptp.one tptp.one))) % 15.86/16.19 (step @p55 :rule refl :args (@t35)) % 15.86/16.19 (step @p56 :rule cong :premises (@p55 @p54) :args ((tptp.join @t35 tptp.one))) % 15.86/16.19 (step @p57 :rule instantiate :premises (@p2) :args ((@list @t30 @t30 tptp.one))) % 15.86/16.19 (step @p58 :rule symm :premises (@p48)) % 15.86/16.19 (step @p59 :rule refl :args (@t30)) % 15.86/16.19 (step @p60 :rule cong :premises (@p59 @p58) :args (@t38)) % 15.86/16.19 (step @p61 :rule trans :premises (@p60 @p57 @p56 @p53 @p52 @p35)) % 15.86/16.19 (step @p62 :rule refl :args (tptp.one)) % 15.86/16.19 (step @p63 :rule cong :premises (@p62 @p61) :args ((tptp.join tptp.one @t38))) % 15.86/16.19 (step @p64 :rule instantiate :premises (@p2) :args ((@list tptp.one @t30 tptp.top))) % 15.86/16.19 (step @p65 :rule symm :premises (@p64)) % 15.86/16.19 (step @p66 :rule cong :premises (@p36 @p25) :args (@t39)) % 15.86/16.19 (step @p67 :rule cong :premises (@p48 @p25) :args ((tptp.join @t32 tptp.top))) % 15.86/16.19 (step @p68 :rule instantiate :premises (@p2) :args ((@list @t30 tptp.one tptp.top))) % 15.86/16.19 (step @p69 :rule trans :premises (@p68 @p67 @p66 @p65 @p63)) % 15.86/16.19 (step @p70 :rule cong :premises (@p69) :args (@t40)) % 15.86/16.19 (step @p71 :rule cong :premises (@p62 @p51) :args ((tptp.join tptp.one @t37))) % 15.86/16.19 (step @p72 :rule instantiate :premises (@p2) :args ((@list tptp.one @t35 @t36))) % 15.86/16.19 (step @p73 :rule symm :premises (@p72)) % 15.86/16.19 (step @p74 :rule refl :args (@t36)) % 15.86/16.19 (step @p75 :rule instantiate :premises (@p1) :args ((@list tptp.one @t35))) % 15.86/16.19 (step @p76 :rule symm :premises (@p75)) % 15.86/16.19 (step @p77 :rule symm :premises (@p56)) % 15.86/16.19 (step @p78 :rule symm :premises (@p53)) % 15.86/16.19 (step @p79 :rule symm :premises (@p52)) % 15.86/16.19 (step @p80 :rule trans :premises (@p34 @p79 @p78 @p77 @p76)) % 15.86/16.19 (step @p81 :rule cong :premises (@p80 @p74) :args ((tptp.join tptp.top @t36))) % 15.86/16.19 (step @p82 :rule symm :premises (@p80)) % 15.86/16.19 (step @p83 :rule cong :premises (@p59 @p82) :args ((tptp.join @t30 (tptp.join tptp.one @t35)))) % 15.86/16.19 (step @p84 :rule instantiate :premises (@p2) :args ((@list @t30 tptp.one @t35))) % 15.86/16.19 (step @p85 :rule symm :premises (@p84)) % 15.86/16.19 (step @p86 :rule cong :premises (@p58 @p55) :args ((tptp.join tptp.top @t35))) % 15.86/16.19 (step @p87 :rule eq-symm :args (@t18 @t1)) % 15.86/16.19 (step @p88 :rule cong :premises (@p87) :args (@t19)) % 15.86/16.19 (step @p89 :rule eq_resolve :premises (@p8 @p88)) % 15.86/16.19 (step @p90 :rule instantiate :premises (@p89) :args (@t27)) % 15.86/16.19 (step @p91 :rule symm :premises (@p90)) % 15.86/16.19 (step @p92 :rule instantiate :premises (@p28) :args ((@list @t41))) % 15.86/16.19 (step @p93 :rule symm :premises (@p92)) % 15.86/16.19 (step @p94 :rule instantiate :premises (@p89) :args (@t29)) % 15.86/16.19 (step @p95 :rule symm :premises (@p94)) % 15.86/16.19 (step @p96 :rule instantiate :premises (@p28) :args ((@list @t42))) % 15.86/16.19 (step @p97 :rule symm :premises (@p96)) % 15.86/16.19 (step @p98 :rule cong :premises (@p97) :args ((tptp.converse @t43))) % 15.86/16.19 (step @p99 :rule instantiate :premises (@p10) :args ((@list @t42 tptp.one))) % 15.86/16.19 (step @p100 :rule symm :premises (@p99)) % 15.86/16.19 (step @p101 :rule refl :args (@t42)) % 15.86/16.19 (step @p102 :rule cong :premises (@p101 @p94) :args (@t43)) % 15.86/16.19 (step @p103 :rule trans :premises (@p96 @p102 @p100 @p98 @p95)) % 15.86/16.19 (step @p104 :rule refl :args (@t41)) % 15.86/16.19 (step @p105 :rule cong :premises (@p104 @p103) :args (@t44)) % 15.86/16.19 (step @p106 :rule trans :premises (@p105 @p93)) % 15.86/16.19 (step @p107 :rule cong :premises (@p106) :args ((tptp.converse @t44))) % 15.86/16.19 (step @p108 :rule instantiate :premises (@p10) :args ((@list @t41 @t42))) % 15.86/16.19 (step @p109 :rule symm :premises (@p108)) % 15.86/16.19 (step @p110 :rule instantiate :premises (@p28) :args (@t29)) % 15.86/16.19 (step @p111 :rule symm :premises (@p110)) % 15.86/16.19 (step @p112 :rule trans :premises (@p111 @p94)) % 15.86/16.19 (step @p113 :rule cong :premises (@p112 @p90) :args ((tptp.composition (tptp.composition tptp.one tptp.one) tptp.top))) % 15.86/16.19 (step @p114 :rule cong :premises (@p110 @p25) :args (@t45)) % 15.86/16.19 (step @p115 :rule trans :premises (@p114 @p113 @p109 @p107 @p91)) % 15.86/16.19 (step @p116 :rule cong :premises (@p115 @p55) :args (@t46)) % 15.86/16.19 (step @p117 :rule trans :premises (@p116 @p86 @p85 @p83 @p60 @p57 @p56 @p53 @p52 @p35)) % 15.86/16.19 (step @p118 :rule cong :premises (@p117 @p74) :args ((tptp.join @t46 @t36))) % 15.86/16.19 (step @p119 :rule instantiate :premises (@p3) :args ((@list @t35 @t32))) % 15.86/16.19 (step @p120 :rule symm :premises (@p119)) % 15.86/16.19 (step @p121 :rule cong :premises (@p74 @p58) :args ((tptp.join @t36 tptp.top))) % 15.86/16.19 (step @p122 :rule instantiate :premises (@p1) :args ((@list tptp.top @t36))) % 15.86/16.19 (step @p123 :rule symm :premises (@p81)) % 15.86/16.19 (step @p124 :rule symm :premises (@p71)) % 15.86/16.19 (step @p125 :rule trans :premises (@p124 @p72 @p123 @p122 @p121)) % 15.86/16.19 (step @p126 :rule cong :premises (@p125) :args (@t47)) % 15.86/16.19 (step @p127 :rule cong :premises (@p54) :args (@t30)) % 15.86/16.19 (step @p128 :rule cong :premises (@p127 @p126) :args (@t48)) % 15.86/16.19 (step @p129 :rule trans :premises (@p128 @p120)) % 15.86/16.19 (step @p130 :rule cong :premises (@p129) :args (@t49)) % 15.86/16.19 (step @p131 :rule symm :premises (@p117)) % 15.86/16.19 (step @p132 :rule cong :premises (@p131 @p130) :args (@t50)) % 15.86/16.19 (step @p133 :rule trans :premises (@p132 @p118 @p81 @p73 @p71)) % 15.86/16.19 (step @p134 :rule cong :premises (@p133 @p70) :args ((tptp.join @t50 @t40))) % 15.86/16.19 (step @p135 :rule instantiate :premises (@p2) :args ((@list tptp.top @t49 @t40))) % 15.86/16.19 (step @p136 :rule instantiate :premises (@p3) :args ((@list tptp.one @t28))) % 15.86/16.19 (step @p137 :rule cong :premises (@p25 @p136) :args (@t51)) % 15.86/16.19 (step @p138 :rule instantiate :premises (@p1) :args ((@list tptp.one tptp.top))) % 15.86/16.19 (step @p139 :rule trans :premises (@p138 @p137 @p135 @p134 @p33)) % 15.86/16.19 (step @p140 :rule cong :premises (@p29 @p139) :args ((tptp.composition tptp.top @t28))) % 15.86/16.19 (step @p141 :rule symm :premises (@p139)) % 15.86/16.19 (step @p142 :rule cong :premises (@p139 @p141) :args ((tptp.composition @t28 tptp.top))) % 15.86/16.19 (step @p143 :rule symm :premises (@p138)) % 15.86/16.19 (step @p144 :rule cong :premises (@p143 @p25) :args ((tptp.composition @t51 tptp.top))) % 15.86/16.19 (step @p145 :rule instantiate :premises (@p7) :args ((@list tptp.top tptp.one tptp.top))) % 15.86/16.19 (step @p146 :rule symm :premises (@p145)) % 15.86/16.19 (step @p147 :rule symm :premises (@p114)) % 15.86/16.19 (step @p148 :rule symm :premises (@p113)) % 15.86/16.19 (step @p149 :rule symm :premises (@p107)) % 15.86/16.19 (step @p150 :rule instantiate :premises (@p12) :args ((@list @t21))) % 15.86/16.19 (step @p151 :rule symm :premises (@p150)) % 15.86/16.19 (step @p152 :rule trans :premises (@p151 @p90 @p149 @p108 @p148 @p147)) % 15.86/16.19 (step @p153 :rule refl :args (@t21)) % 15.86/16.19 (step @p154 :rule cong :premises (@p153 @p152) :args (@t24)) % 15.86/16.19 (step @p155 :rule trans :premises (@p154 @p146 @p144 @p142 @p140 @p31)) % 15.86/16.19 (step @p156 :rule refl :args (@t22)) % 15.86/16.19 (step @p157 :rule trans :premises (@p66 @p65 @p63)) % 15.86/16.19 (step @p158 :rule cong :premises (@p157 @p25) :args ((tptp.composition @t39 tptp.top))) % 15.86/16.19 (step @p159 :rule instantiate :premises (@p7) :args ((@list tptp.top tptp.top tptp.top))) % 15.86/16.19 (step @p160 :rule symm :premises (@p159)) % 15.86/16.19 (step @p161 :rule trans :premises (@p160 @p158 @p142 @p140 @p31)) % 15.86/16.19 (step @p162 :rule cong :premises (@p161 @p156) :args (@t23)) % 15.86/16.19 (step @p163 :rule trans :premises (@p162 @p151)) % 15.86/16.19 (step @p164 :rule cong :premises (@p163 @p155) :args (@t26)) % 15.86/16.19 (step @p165 :rule trans :premises (@p164 @p24)) % 15.86/16.19 (step @p166 :rule eq_resolve :premises (@p165 @p22)) % 15.86/16.19 (step @p167 :rule false_elim :premises (@p166)) % 15.86/16.19 (assume-push @p176 @t8) % 15.86/16.19 (step @p169 :rule instantiate :premises (@p2) :args ((@list @t21 @t21 @t22))) % 15.86/16.19 (step-pop @p177 :rule scope :premises (@p169)) % 15.86/16.19 (step @p170 :rule process_scope :premises (@p177) :args (@t25)) % 15.86/16.19 (step @p172 :rule implies_elim :premises (@p170)) % 15.86/16.19 (step @p173 false :rule chain_m_resolution :premises (@p172 @p167 @p2) :args (false (@list true false) (@list @t25 @t8))) % 15.86/16.19 ) % 15.86/16.19 % SZS output end Proof % 15.86/16.19 % cvc5 exiting %------------------------------------------------------------------------------