%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : REL015-1 : 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 : n006.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 : Unsatisfiable 16.07s 16.36s % Output : Proof 16.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : REL015-1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 13:29:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/16.24 --- Run --no-e-matching --full-saturate-quant at 6... % 16.07/16.36 % SZS status Unsatisfiable % 16.07/16.36 % SZS output start Proof % 16.07/16.36 ( % 16.07/16.36 (declare-sort $$unsorted 0) % 16.07/16.36 (declare-const tptp.top $$unsorted) % 16.07/16.36 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 16.07/16.36 (declare-const tptp.one $$unsorted) % 16.07/16.36 (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted)) % 16.07/16.36 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 16.07/16.36 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 16.07/16.36 (declare-const tptp.zero $$unsorted) % 16.07/16.36 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 16.07/16.36 (define @t1 () (@var "A" $$unsorted)) % 16.07/16.36 (define @t2 () (@var "B" $$unsorted)) % 16.07/16.36 (define @t3 () (tptp.join @t1 @t2)) % 16.07/16.36 (define @t4 () (@list @t1 @t2)) % 16.07/16.36 (define @t5 () (forall @t4 (= @t3 (tptp.join @t2 @t1)))) % 16.07/16.36 (define @t6 () (@var "C" $$unsorted)) % 16.07/16.36 (define @t7 () (@list @t1 @t2 @t6)) % 16.07/16.36 (define @t8 () (forall @t7 (= (tptp.join @t1 (tptp.join @t2 @t6)) (tptp.join @t3 @t6)))) % 16.07/16.36 (define @t9 () (tptp.complement @t1)) % 16.07/16.36 (define @t10 () (tptp.complement @t2)) % 16.07/16.36 (define @t11 () (tptp.complement (tptp.join @t9 @t10))) % 16.07/16.36 (define @t12 () (tptp.composition @t1 @t2)) % 16.07/16.36 (define @t13 () (tptp.composition @t2 @t6)) % 16.07/16.36 (define @t14 () (tptp.composition @t1 tptp.one)) % 16.07/16.36 (define @t15 () (@list @t1)) % 16.07/16.36 (define @t16 () (forall @t15 (= @t14 @t1))) % 16.07/16.36 (define @t17 () (tptp.converse @t1)) % 16.07/16.36 (define @t18 () (tptp.converse @t17)) % 16.07/16.36 (define @t19 () (forall @t15 (= @t18 @t1))) % 16.07/16.36 (define @t20 () (tptp.converse @t2)) % 16.07/16.36 (define @t21 () (tptp.composition tptp.top tptp.top)) % 16.07/16.36 (define @t22 () (tptp.complement @t21)) % 16.07/16.36 (define @t23 () (tptp.join (tptp.join @t21 @t21) @t22)) % 16.07/16.36 (define @t24 () (tptp.join @t21 (tptp.join @t21 @t22))) % 16.07/16.36 (define @t25 () (= @t24 @t23)) % 16.07/16.36 (define @t26 () (= @t23 @t24)) % 16.07/16.36 (define @t27 () (@list tptp.top)) % 16.07/16.36 (define @t28 () (tptp.join tptp.one tptp.top)) % 16.07/16.36 (define @t29 () (@list tptp.one)) % 16.07/16.36 (define @t30 () (tptp.complement tptp.one)) % 16.07/16.36 (define @t31 () (tptp.join tptp.one @t30)) % 16.07/16.36 (define @t32 () (tptp.join @t30 tptp.one)) % 16.07/16.36 (define @t33 () (= @t31 @t32)) % 16.07/16.36 (define @t34 () (tptp.complement @t32)) % 16.07/16.36 (define @t35 () (tptp.join @t30 @t30)) % 16.07/16.36 (define @t36 () (tptp.complement @t35)) % 16.07/16.36 (define @t37 () (tptp.join @t35 @t36)) % 16.07/16.36 (define @t38 () (tptp.join @t30 tptp.top)) % 16.07/16.36 (define @t39 () (tptp.join tptp.top tptp.top)) % 16.07/16.36 (define @t40 () (tptp.complement (tptp.join @t30 @t28))) % 16.07/16.36 (define @t41 () (tptp.converse tptp.top)) % 16.07/16.36 (define @t42 () (tptp.converse tptp.one)) % 16.07/16.36 (define @t43 () (tptp.composition @t42 tptp.one)) % 16.07/16.36 (define @t44 () (tptp.composition @t41 @t42)) % 16.07/16.36 (define @t45 () (tptp.composition tptp.one tptp.top)) % 16.07/16.36 (define @t46 () (tptp.join @t45 @t35)) % 16.07/16.36 (define @t47 () (tptp.complement @t28)) % 16.07/16.36 (define @t48 () (tptp.join @t30 @t47)) % 16.07/16.36 (define @t49 () (tptp.complement @t48)) % 16.07/16.36 (define @t50 () (tptp.join tptp.top @t49)) % 16.07/16.36 (define @t51 () (tptp.join tptp.top tptp.one)) % 16.07/16.36 (assume @p1 @t5) % 16.07/16.36 (assume @p2 @t8) % 16.07/16.36 (assume @p3 (forall @t4 (= @t1 (tptp.join @t11 (tptp.complement (tptp.join @t9 @t2)))))) % 16.07/16.36 (assume @p4 (forall @t4 (= (tptp.meet @t1 @t2) @t11))) % 16.07/16.36 (assume @p5 (forall @t7 (= (tptp.composition @t1 @t13) (tptp.composition @t12 @t6)))) % 16.07/16.36 (assume @p6 @t16) % 16.07/16.36 (assume @p7 (forall @t7 (= (tptp.composition @t3 @t6) (tptp.join (tptp.composition @t1 @t6) @t13)))) % 16.07/16.36 (assume @p8 @t19) % 16.07/16.36 (assume @p9 (forall @t4 (= (tptp.converse @t3) (tptp.join @t17 @t20)))) % 16.07/16.36 (assume @p10 (forall @t4 (= (tptp.converse @t12) (tptp.composition @t20 @t17)))) % 16.07/16.36 (assume @p11 (forall @t4 (= (tptp.join (tptp.composition @t17 (tptp.complement @t12)) @t10) @t10))) % 16.07/16.36 (assume @p12 (forall @t15 (= tptp.top (tptp.join @t1 @t9)))) % 16.07/16.36 (assume @p13 (forall @t15 (= tptp.zero (tptp.meet @t1 @t9)))) % 16.07/16.36 (assume @p14 (not (= @t21 tptp.top))) % 16.07/16.36 (step @p15 :rule bool-eq-false :args (@t25)) % 16.07/16.36 (step @p16 :rule symm :premises (@p15)) % 16.07/16.36 (step @p17 :rule eq-symm :args (@t23 @t24)) % 16.07/16.36 (step @p18 :rule cong :premises (@p17) :args ((not @t26))) % 16.07/16.36 (step @p19 :rule bool-eq-false :args (@t26)) % 16.07/16.36 (step @p20 :rule trans :premises (@p19 @p18)) % 16.07/16.36 (step @p21 :rule trans :premises (@p20 @p16)) % 16.07/16.36 (step @p22 :rule symm :premises (@p14)) % 16.07/16.36 (step @p23 :rule false_intro :premises (@p22)) % 16.07/16.36 (step @p24 :rule refl :args (tptp.top)) % 16.07/16.36 (step @p25 :rule eq-symm :args (@t14 @t1)) % 16.07/16.36 (step @p26 :rule cong :premises (@p25) :args (@t16)) % 16.07/16.36 (step @p27 :rule eq_resolve :premises (@p6 @p26)) % 16.07/16.36 (step @p28 :rule instantiate :premises (@p27) :args (@t27)) % 16.07/16.36 (step @p29 :rule symm :premises (@p28)) % 16.07/16.36 (step @p30 :rule cong :premises (@p29 @p24) :args ((tptp.composition (tptp.composition tptp.top tptp.one) tptp.top))) % 16.07/16.36 (step @p31 :rule instantiate :premises (@p12) :args ((@list @t28))) % 16.07/16.36 (step @p32 :rule symm :premises (@p31)) % 16.07/16.36 (step @p33 :rule instantiate :premises (@p12) :args (@t27)) % 16.07/16.36 (step @p34 :rule symm :premises (@p33)) % 16.07/16.36 (step @p35 :rule instantiate :premises (@p12) :args (@t29)) % 16.07/16.36 (step @p36 :rule symm :premises (@p35)) % 16.07/16.36 (step @p37 :rule eq-symm :args (@t31 @t32)) % 16.07/16.36 (step @p38 :rule refl :args (@t5)) % 16.07/16.36 (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t5 @t33))) % 16.07/16.36 (assume-push @p173 @t5) % 16.07/16.36 (step @p41 :rule instantiate :premises (@p1) :args ((@list tptp.one @t30))) % 16.07/16.36 (step-pop @p174 :rule scope :premises (@p41)) % 16.07/16.36 (step @p42 :rule process_scope :premises (@p174) :args (@t33)) % 16.07/16.36 (step @p44 :rule eq_resolve :premises (@p42 @p39)) % 16.07/16.36 (step @p45 :rule implies_elim :premises (@p44)) % 16.07/16.36 (step @p46 :rule chain_m_resolution :premises (@p45 @p1) :args ((= @t32 @t31) (@list false) (@list @t5))) % 16.07/16.36 (step @p47 :rule trans :premises (@p46 @p36)) % 16.07/16.36 (step @p48 :rule cong :premises (@p47) :args (@t34)) % 16.07/16.36 (step @p49 :rule instantiate :premises (@p12) :args ((@list @t35))) % 16.07/16.36 (step @p50 :rule symm :premises (@p49)) % 16.07/16.36 (step @p51 :rule cong :premises (@p50 @p48) :args ((tptp.join @t37 @t34))) % 16.07/16.36 (step @p52 :rule instantiate :premises (@p2) :args ((@list @t35 @t36 @t34))) % 16.07/16.36 (step @p53 :rule instantiate :premises (@p3) :args ((@list tptp.one tptp.one))) % 16.07/16.36 (step @p54 :rule refl :args (@t35)) % 16.07/16.36 (step @p55 :rule cong :premises (@p54 @p53) :args ((tptp.join @t35 tptp.one))) % 16.07/16.36 (step @p56 :rule instantiate :premises (@p2) :args ((@list @t30 @t30 tptp.one))) % 16.07/16.36 (step @p57 :rule symm :premises (@p47)) % 16.07/16.36 (step @p58 :rule refl :args (@t30)) % 16.07/16.36 (step @p59 :rule cong :premises (@p58 @p57) :args (@t38)) % 16.07/16.36 (step @p60 :rule trans :premises (@p59 @p56 @p55 @p52 @p51 @p34)) % 16.07/16.36 (step @p61 :rule refl :args (tptp.one)) % 16.07/16.36 (step @p62 :rule cong :premises (@p61 @p60) :args ((tptp.join tptp.one @t38))) % 16.07/16.36 (step @p63 :rule instantiate :premises (@p2) :args ((@list tptp.one @t30 tptp.top))) % 16.07/16.36 (step @p64 :rule symm :premises (@p63)) % 16.07/16.36 (step @p65 :rule cong :premises (@p35 @p24) :args (@t39)) % 16.07/16.36 (step @p66 :rule cong :premises (@p47 @p24) :args ((tptp.join @t32 tptp.top))) % 16.07/16.36 (step @p67 :rule instantiate :premises (@p2) :args ((@list @t30 tptp.one tptp.top))) % 16.07/16.36 (step @p68 :rule trans :premises (@p67 @p66 @p65 @p64 @p62)) % 16.07/16.36 (step @p69 :rule cong :premises (@p68) :args (@t40)) % 16.07/16.36 (step @p70 :rule cong :premises (@p61 @p50) :args ((tptp.join tptp.one @t37))) % 16.07/16.36 (step @p71 :rule instantiate :premises (@p2) :args ((@list tptp.one @t35 @t36))) % 16.07/16.36 (step @p72 :rule symm :premises (@p71)) % 16.07/16.36 (step @p73 :rule refl :args (@t36)) % 16.07/16.36 (step @p74 :rule instantiate :premises (@p1) :args ((@list tptp.one @t35))) % 16.07/16.36 (step @p75 :rule symm :premises (@p74)) % 16.07/16.36 (step @p76 :rule symm :premises (@p55)) % 16.07/16.36 (step @p77 :rule symm :premises (@p52)) % 16.07/16.36 (step @p78 :rule symm :premises (@p51)) % 16.07/16.36 (step @p79 :rule trans :premises (@p33 @p78 @p77 @p76 @p75)) % 16.07/16.36 (step @p80 :rule cong :premises (@p79 @p73) :args ((tptp.join tptp.top @t36))) % 16.07/16.36 (step @p81 :rule symm :premises (@p79)) % 16.07/16.36 (step @p82 :rule cong :premises (@p58 @p81) :args ((tptp.join @t30 (tptp.join tptp.one @t35)))) % 16.07/16.36 (step @p83 :rule instantiate :premises (@p2) :args ((@list @t30 tptp.one @t35))) % 16.07/16.36 (step @p84 :rule symm :premises (@p83)) % 16.07/16.36 (step @p85 :rule cong :premises (@p57 @p54) :args ((tptp.join tptp.top @t35))) % 16.07/16.36 (step @p86 :rule eq-symm :args (@t18 @t1)) % 16.07/16.36 (step @p87 :rule cong :premises (@p86) :args (@t19)) % 16.07/16.36 (step @p88 :rule eq_resolve :premises (@p8 @p87)) % 16.07/16.36 (step @p89 :rule instantiate :premises (@p88) :args (@t27)) % 16.07/16.36 (step @p90 :rule symm :premises (@p89)) % 16.07/16.36 (step @p91 :rule instantiate :premises (@p27) :args ((@list @t41))) % 16.07/16.36 (step @p92 :rule symm :premises (@p91)) % 16.07/16.36 (step @p93 :rule instantiate :premises (@p88) :args (@t29)) % 16.07/16.36 (step @p94 :rule symm :premises (@p93)) % 16.07/16.36 (step @p95 :rule instantiate :premises (@p27) :args ((@list @t42))) % 16.07/16.36 (step @p96 :rule symm :premises (@p95)) % 16.07/16.36 (step @p97 :rule cong :premises (@p96) :args ((tptp.converse @t43))) % 16.07/16.36 (step @p98 :rule instantiate :premises (@p10) :args ((@list @t42 tptp.one))) % 16.07/16.36 (step @p99 :rule symm :premises (@p98)) % 16.07/16.36 (step @p100 :rule refl :args (@t42)) % 16.07/16.36 (step @p101 :rule cong :premises (@p100 @p93) :args (@t43)) % 16.07/16.36 (step @p102 :rule trans :premises (@p95 @p101 @p99 @p97 @p94)) % 16.07/16.36 (step @p103 :rule refl :args (@t41)) % 16.07/16.36 (step @p104 :rule cong :premises (@p103 @p102) :args (@t44)) % 16.07/16.36 (step @p105 :rule trans :premises (@p104 @p92)) % 16.07/16.36 (step @p106 :rule cong :premises (@p105) :args ((tptp.converse @t44))) % 16.07/16.36 (step @p107 :rule instantiate :premises (@p10) :args ((@list @t41 @t42))) % 16.07/16.36 (step @p108 :rule symm :premises (@p107)) % 16.07/16.36 (step @p109 :rule instantiate :premises (@p27) :args (@t29)) % 16.07/16.36 (step @p110 :rule symm :premises (@p109)) % 16.07/16.36 (step @p111 :rule trans :premises (@p110 @p93)) % 16.07/16.36 (step @p112 :rule cong :premises (@p111 @p89) :args ((tptp.composition (tptp.composition tptp.one tptp.one) tptp.top))) % 16.07/16.36 (step @p113 :rule cong :premises (@p109 @p24) :args (@t45)) % 16.07/16.36 (step @p114 :rule trans :premises (@p113 @p112 @p108 @p106 @p90)) % 16.07/16.36 (step @p115 :rule cong :premises (@p114 @p54) :args (@t46)) % 16.07/16.36 (step @p116 :rule trans :premises (@p115 @p85 @p84 @p82 @p59 @p56 @p55 @p52 @p51 @p34)) % 16.07/16.36 (step @p117 :rule cong :premises (@p116 @p73) :args ((tptp.join @t46 @t36))) % 16.07/16.36 (step @p118 :rule instantiate :premises (@p3) :args ((@list @t35 @t32))) % 16.07/16.36 (step @p119 :rule symm :premises (@p118)) % 16.07/16.36 (step @p120 :rule cong :premises (@p73 @p57) :args ((tptp.join @t36 tptp.top))) % 16.07/16.36 (step @p121 :rule instantiate :premises (@p1) :args ((@list tptp.top @t36))) % 16.07/16.36 (step @p122 :rule symm :premises (@p80)) % 16.07/16.36 (step @p123 :rule symm :premises (@p70)) % 16.07/16.36 (step @p124 :rule trans :premises (@p123 @p71 @p122 @p121 @p120)) % 16.07/16.36 (step @p125 :rule cong :premises (@p124) :args (@t47)) % 16.07/16.36 (step @p126 :rule cong :premises (@p53) :args (@t30)) % 16.07/16.36 (step @p127 :rule cong :premises (@p126 @p125) :args (@t48)) % 16.07/16.36 (step @p128 :rule trans :premises (@p127 @p119)) % 16.07/16.36 (step @p129 :rule cong :premises (@p128) :args (@t49)) % 16.07/16.36 (step @p130 :rule symm :premises (@p116)) % 16.07/16.36 (step @p131 :rule cong :premises (@p130 @p129) :args (@t50)) % 16.07/16.36 (step @p132 :rule trans :premises (@p131 @p117 @p80 @p72 @p70)) % 16.07/16.36 (step @p133 :rule cong :premises (@p132 @p69) :args ((tptp.join @t50 @t40))) % 16.07/16.36 (step @p134 :rule instantiate :premises (@p2) :args ((@list tptp.top @t49 @t40))) % 16.07/16.36 (step @p135 :rule instantiate :premises (@p3) :args ((@list tptp.one @t28))) % 16.07/16.36 (step @p136 :rule cong :premises (@p24 @p135) :args (@t51)) % 16.07/16.36 (step @p137 :rule instantiate :premises (@p1) :args ((@list tptp.one tptp.top))) % 16.07/16.36 (step @p138 :rule trans :premises (@p137 @p136 @p134 @p133 @p32)) % 16.07/16.36 (step @p139 :rule cong :premises (@p28 @p138) :args ((tptp.composition tptp.top @t28))) % 16.07/16.36 (step @p140 :rule symm :premises (@p138)) % 16.07/16.36 (step @p141 :rule cong :premises (@p138 @p140) :args ((tptp.composition @t28 tptp.top))) % 16.07/16.36 (step @p142 :rule symm :premises (@p137)) % 16.07/16.36 (step @p143 :rule cong :premises (@p142 @p24) :args ((tptp.composition @t51 tptp.top))) % 16.07/16.36 (step @p144 :rule instantiate :premises (@p7) :args ((@list tptp.top tptp.one tptp.top))) % 16.07/16.36 (step @p145 :rule symm :premises (@p144)) % 16.07/16.36 (step @p146 :rule symm :premises (@p113)) % 16.07/16.36 (step @p147 :rule symm :premises (@p112)) % 16.07/16.36 (step @p148 :rule symm :premises (@p106)) % 16.07/16.36 (step @p149 :rule instantiate :premises (@p12) :args ((@list @t21))) % 16.07/16.36 (step @p150 :rule symm :premises (@p149)) % 16.07/16.36 (step @p151 :rule trans :premises (@p150 @p89 @p148 @p107 @p147 @p146)) % 16.07/16.36 (step @p152 :rule refl :args (@t21)) % 16.07/16.36 (step @p153 :rule cong :premises (@p152 @p151) :args (@t24)) % 16.07/16.36 (step @p154 :rule trans :premises (@p153 @p145 @p143 @p141 @p139 @p30)) % 16.07/16.36 (step @p155 :rule refl :args (@t22)) % 16.07/16.36 (step @p156 :rule trans :premises (@p65 @p64 @p62)) % 16.07/16.36 (step @p157 :rule cong :premises (@p156 @p24) :args ((tptp.composition @t39 tptp.top))) % 16.07/16.36 (step @p158 :rule instantiate :premises (@p7) :args ((@list tptp.top tptp.top tptp.top))) % 16.07/16.36 (step @p159 :rule symm :premises (@p158)) % 16.07/16.36 (step @p160 :rule trans :premises (@p159 @p157 @p141 @p139 @p30)) % 16.07/16.36 (step @p161 :rule cong :premises (@p160 @p155) :args (@t23)) % 16.07/16.36 (step @p162 :rule trans :premises (@p161 @p150)) % 16.07/16.36 (step @p163 :rule cong :premises (@p162 @p154) :args (@t26)) % 16.07/16.36 (step @p164 :rule trans :premises (@p163 @p23)) % 16.07/16.36 (step @p165 :rule eq_resolve :premises (@p164 @p21)) % 16.07/16.36 (step @p166 :rule false_elim :premises (@p165)) % 16.07/16.36 (assume-push @p175 @t8) % 16.07/16.36 (step @p168 :rule instantiate :premises (@p2) :args ((@list @t21 @t21 @t22))) % 16.07/16.36 (step-pop @p176 :rule scope :premises (@p168)) % 16.07/16.36 (step @p169 :rule process_scope :premises (@p176) :args (@t25)) % 16.07/16.36 (step @p171 :rule implies_elim :premises (@p169)) % 16.07/16.36 (step @p172 false :rule chain_m_resolution :premises (@p171 @p166 @p2) :args (false (@list true false) (@list @t25 @t8))) % 16.07/16.36 ) % 16.07/16.36 % SZS output end Proof % 16.07/16.37 % cvc5 exiting %------------------------------------------------------------------------------