%------------------------------------------------------------------------------ % 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 : n005.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 : Unsatisfiable 15.95s 16.42s % Output : Proof 15.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : REL001-1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n005.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 13:24:03 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.86/16.12 --- Run --no-e-matching --full-saturate-quant at 6... % 15.95/16.42 % SZS status Unsatisfiable % 15.95/16.42 % SZS output start Proof % 15.95/16.43 ( % 15.95/16.43 (declare-sort $$unsorted 0) % 15.95/16.43 (declare-const tptp.sk1 $$unsorted) % 15.95/16.43 (declare-const tptp.top $$unsorted) % 15.95/16.43 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 15.95/16.43 (declare-const tptp.one $$unsorted) % 15.95/16.43 (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.43 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.43 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 15.95/16.43 (declare-const tptp.zero $$unsorted) % 15.95/16.43 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.43 (define @t1 () (@var "A" $$unsorted)) % 15.95/16.43 (define @t2 () (@var "B" $$unsorted)) % 15.95/16.43 (define @t3 () (tptp.join @t1 @t2)) % 15.95/16.43 (define @t4 () (@list @t1 @t2)) % 15.95/16.43 (define @t5 () (forall @t4 (= @t3 (tptp.join @t2 @t1)))) % 15.95/16.43 (define @t6 () (@var "C" $$unsorted)) % 15.95/16.43 (define @t7 () (@list @t1 @t2 @t6)) % 15.95/16.43 (define @t8 () (forall @t7 (= (tptp.join @t1 (tptp.join @t2 @t6)) (tptp.join @t3 @t6)))) % 15.95/16.43 (define @t9 () (tptp.complement @t1)) % 15.95/16.43 (define @t10 () (tptp.complement @t2)) % 15.95/16.43 (define @t11 () (tptp.complement (tptp.join @t9 @t10))) % 15.95/16.43 (define @t12 () (tptp.meet @t1 @t2)) % 15.95/16.43 (define @t13 () (forall @t4 (= @t12 @t11))) % 15.95/16.43 (define @t14 () (tptp.composition @t1 @t2)) % 15.95/16.43 (define @t15 () (tptp.composition @t2 @t6)) % 15.95/16.43 (define @t16 () (tptp.composition @t1 tptp.one)) % 15.95/16.43 (define @t17 () (@list @t1)) % 15.95/16.43 (define @t18 () (forall @t17 (= @t16 @t1))) % 15.95/16.43 (define @t19 () (tptp.converse @t1)) % 15.95/16.43 (define @t20 () (tptp.converse @t19)) % 15.95/16.43 (define @t21 () (forall @t17 (= @t20 @t1))) % 15.95/16.43 (define @t22 () (tptp.converse @t2)) % 15.95/16.43 (define @t23 () (tptp.join (tptp.composition @t19 (tptp.complement @t14)) @t10)) % 15.95/16.43 (define @t24 () (forall @t4 (= @t23 @t10))) % 15.95/16.43 (define @t25 () (tptp.complement tptp.one)) % 15.95/16.43 (define @t26 () (tptp.join @t25 @t25)) % 15.95/16.43 (define @t27 () (tptp.complement @t26)) % 15.95/16.43 (define @t28 () (@list tptp.one)) % 15.95/16.43 (define @t29 () (tptp.complement (tptp.join @t27 (tptp.complement @t27)))) % 15.95/16.43 (define @t30 () (tptp.complement tptp.sk1)) % 15.95/16.43 (define @t31 () (tptp.join tptp.one @t25)) % 15.95/16.43 (define @t32 () (tptp.join @t25 tptp.one)) % 15.95/16.43 (define @t33 () (= @t31 @t32)) % 15.95/16.43 (define @t34 () (@list false)) % 15.95/16.43 (define @t35 () (tptp.complement @t32)) % 15.95/16.43 (define @t36 () (tptp.meet @t26 @t27)) % 15.95/16.43 (define @t37 () (forall @t4 (= @t11 @t12))) % 15.95/16.43 (define @t38 () (= @t29 @t36)) % 15.95/16.43 (define @t39 () (tptp.converse tptp.zero)) % 15.95/16.43 (define @t40 () (tptp.converse tptp.one)) % 15.95/16.43 (define @t41 () (tptp.composition @t40 tptp.one)) % 15.95/16.43 (define @t42 () (tptp.composition @t39 @t40)) % 15.95/16.43 (define @t43 () (tptp.converse @t32)) % 15.95/16.43 (define @t44 () (tptp.composition @t43 @t40)) % 15.95/16.43 (define @t45 () (tptp.composition tptp.one @t32)) % 15.95/16.43 (define @t46 () (tptp.complement @t45)) % 15.95/16.43 (define @t47 () (tptp.composition @t40 @t46)) % 15.95/16.43 (define @t48 () (tptp.complement (tptp.join @t30 @t30))) % 15.95/16.43 (define @t49 () (tptp.join @t48 @t47)) % 15.95/16.43 (define @t50 () (tptp.join @t49 @t35)) % 15.95/16.43 (define @t51 () (tptp.join @t48 (tptp.join @t47 @t35))) % 15.95/16.43 (define @t52 () (= @t51 @t50)) % 15.95/16.43 (assume @p1 @t5) % 15.95/16.43 (assume @p2 @t8) % 15.95/16.43 (assume @p3 (forall @t4 (= @t1 (tptp.join @t11 (tptp.complement (tptp.join @t9 @t2)))))) % 15.95/16.43 (assume @p4 @t13) % 15.95/16.43 (assume @p5 (forall @t7 (= (tptp.composition @t1 @t15) (tptp.composition @t14 @t6)))) % 15.95/16.43 (assume @p6 @t18) % 15.95/16.43 (assume @p7 (forall @t7 (= (tptp.composition @t3 @t6) (tptp.join (tptp.composition @t1 @t6) @t15)))) % 15.95/16.43 (assume @p8 @t21) % 15.95/16.43 (assume @p9 (forall @t4 (= (tptp.converse @t3) (tptp.join @t19 @t22)))) % 15.95/16.43 (assume @p10 (forall @t4 (= (tptp.converse @t14) (tptp.composition @t22 @t19)))) % 15.95/16.43 (assume @p11 @t24) % 15.95/16.43 (assume @p12 (forall @t17 (= tptp.top (tptp.join @t1 @t9)))) % 15.95/16.43 (assume @p13 (forall @t17 (= tptp.zero (tptp.meet @t1 @t9)))) % 15.95/16.43 (assume @p14 (not (= (tptp.join tptp.zero tptp.sk1) tptp.sk1))) % 15.95/16.43 (step @p15 :rule symm :premises (@p14)) % 15.95/16.43 (step @p16 :rule false_intro :premises (@p15)) % 15.95/16.43 (step @p17 :rule instantiate :premises (@p1) :args ((@list tptp.zero tptp.sk1))) % 15.95/16.43 (step @p18 :rule symm :premises (@p17)) % 15.95/16.43 (step @p19 :rule instantiate :premises (@p13) :args ((@list @t26))) % 15.95/16.43 (step @p20 :rule symm :premises (@p19)) % 15.95/16.43 (step @p21 :rule eq-symm :args (@t12 @t11)) % 15.95/16.43 (step @p22 :rule cong :premises (@p21) :args (@t13)) % 15.95/16.43 (step @p23 :rule eq_resolve :premises (@p4 @p22)) % 15.95/16.43 (step @p24 :rule instantiate :premises (@p23) :args ((@list @t26 @t27))) % 15.95/16.43 (step @p25 :rule instantiate :premises (@p1) :args ((@list tptp.one @t25))) % 15.95/16.43 (step @p26 :rule instantiate :premises (@p12) :args (@t28)) % 15.95/16.43 (step @p27 :rule instantiate :premises (@p12) :args ((@list @t27))) % 15.95/16.43 (step @p28 :rule symm :premises (@p27)) % 15.95/16.43 (step @p29 :rule trans :premises (@p28 @p26 @p25)) % 15.95/16.43 (step @p30 :rule cong :premises (@p29) :args (@t29)) % 15.95/16.43 (step @p31 :rule symm :premises (@p30)) % 15.95/16.43 (step @p32 :rule trans :premises (@p31 @p24 @p20)) % 15.95/16.43 (step @p33 :rule instantiate :premises (@p3) :args ((@list tptp.sk1 tptp.sk1))) % 15.95/16.43 (step @p34 :rule symm :premises (@p33)) % 15.95/16.43 (step @p35 :rule instantiate :premises (@p1) :args ((@list tptp.sk1 @t30))) % 15.95/16.43 (step @p36 :rule instantiate :premises (@p12) :args ((@list tptp.sk1))) % 15.95/16.43 (step @p37 :rule symm :premises (@p26)) % 15.95/16.43 (step @p38 :rule eq-symm :args (@t31 @t32)) % 15.95/16.43 (step @p39 :rule refl :args (@t5)) % 15.95/16.43 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t5 @t33))) % 15.95/16.43 (assume-push @p131 @t5) % 15.95/16.43 (step-pop @p132 :rule scope :premises (@p25)) % 15.95/16.43 (step @p42 :rule process_scope :premises (@p132) :args (@t33)) % 15.95/16.43 (step @p44 :rule eq_resolve :premises (@p42 @p40)) % 15.95/16.43 (step @p45 :rule implies_elim :premises (@p44)) % 15.95/16.43 (step @p46 :rule chain_m_resolution :premises (@p45 @p1) :args ((= @t32 @t31) @t34 (@list @t5))) % 15.95/16.43 (step @p47 :rule trans :premises (@p46 @p37 @p36 @p35)) % 15.95/16.43 (step @p48 :rule cong :premises (@p47) :args (@t35)) % 15.95/16.43 (step @p49 :rule eq-symm :args (@t29 @t36)) % 15.95/16.43 (step @p50 :rule refl :args (@t37)) % 15.95/16.43 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t37 @t38))) % 15.95/16.43 (assume-push @p133 @t37) % 15.95/16.43 (step-pop @p134 :rule scope :premises (@p24)) % 15.95/16.43 (step @p53 :rule process_scope :premises (@p134) :args (@t38)) % 15.95/16.43 (step @p55 :rule eq_resolve :premises (@p53 @p51)) % 15.95/16.43 (step @p56 :rule implies_elim :premises (@p55)) % 15.95/16.43 (step @p57 :rule chain_m_resolution :premises (@p56 @p23) :args ((= @t36 @t29) @t34 (@list @t37))) % 15.95/16.43 (step @p58 :rule eq-symm :args (@t20 @t1)) % 15.95/16.43 (step @p59 :rule cong :premises (@p58) :args (@t21)) % 15.95/16.43 (step @p60 :rule eq_resolve :premises (@p8 @p59)) % 15.95/16.43 (step @p61 :rule instantiate :premises (@p60) :args ((@list tptp.zero))) % 15.95/16.43 (step @p62 :rule symm :premises (@p61)) % 15.95/16.43 (step @p63 :rule eq-symm :args (@t16 @t1)) % 15.95/16.43 (step @p64 :rule cong :premises (@p63) :args (@t18)) % 15.95/16.43 (step @p65 :rule eq_resolve :premises (@p6 @p64)) % 15.95/16.43 (step @p66 :rule instantiate :premises (@p65) :args ((@list @t39))) % 15.95/16.43 (step @p67 :rule symm :premises (@p66)) % 15.95/16.43 (step @p68 :rule instantiate :premises (@p60) :args (@t28)) % 15.95/16.43 (step @p69 :rule symm :premises (@p68)) % 15.95/16.43 (step @p70 :rule instantiate :premises (@p65) :args ((@list @t40))) % 15.95/16.43 (step @p71 :rule symm :premises (@p70)) % 15.95/16.43 (step @p72 :rule cong :premises (@p71) :args ((tptp.converse @t41))) % 15.95/16.43 (step @p73 :rule instantiate :premises (@p10) :args ((@list @t40 tptp.one))) % 15.95/16.43 (step @p74 :rule symm :premises (@p73)) % 15.95/16.43 (step @p75 :rule refl :args (@t40)) % 15.95/16.43 (step @p76 :rule cong :premises (@p75 @p68) :args (@t41)) % 15.95/16.43 (step @p77 :rule trans :premises (@p70 @p76 @p74 @p72 @p69)) % 15.95/16.43 (step @p78 :rule refl :args (@t39)) % 15.95/16.43 (step @p79 :rule cong :premises (@p78 @p77) :args (@t42)) % 15.95/16.43 (step @p80 :rule trans :premises (@p79 @p67)) % 15.95/16.43 (step @p81 :rule cong :premises (@p80) :args ((tptp.converse @t42))) % 15.95/16.43 (step @p82 :rule instantiate :premises (@p10) :args ((@list @t39 @t40))) % 15.95/16.43 (step @p83 :rule symm :premises (@p82)) % 15.95/16.43 (step @p84 :rule cong :premises (@p68 @p61) :args ((tptp.composition tptp.one tptp.zero))) % 15.95/16.43 (step @p85 :rule instantiate :premises (@p60) :args ((@list @t32))) % 15.95/16.43 (step @p86 :rule symm :premises (@p85)) % 15.95/16.43 (step @p87 :rule instantiate :premises (@p65) :args ((@list @t43))) % 15.95/16.43 (step @p88 :rule symm :premises (@p87)) % 15.95/16.43 (step @p89 :rule refl :args (@t43)) % 15.95/16.43 (step @p90 :rule cong :premises (@p89 @p77) :args (@t44)) % 15.95/16.43 (step @p91 :rule trans :premises (@p90 @p88)) % 15.95/16.43 (step @p92 :rule cong :premises (@p91) :args ((tptp.converse @t44))) % 15.95/16.43 (step @p93 :rule instantiate :premises (@p10) :args ((@list @t43 @t40))) % 15.95/16.43 (step @p94 :rule symm :premises (@p93)) % 15.95/16.43 (step @p95 :rule instantiate :premises (@p65) :args (@t28)) % 15.95/16.43 (step @p96 :rule symm :premises (@p95)) % 15.95/16.43 (step @p97 :rule trans :premises (@p96 @p68)) % 15.95/16.43 (step @p98 :rule cong :premises (@p97 @p85) :args ((tptp.composition (tptp.composition tptp.one tptp.one) @t32))) % 15.95/16.43 (step @p99 :rule refl :args (@t32)) % 15.95/16.43 (step @p100 :rule cong :premises (@p95 @p99) :args (@t45)) % 15.95/16.43 (step @p101 :rule trans :premises (@p100 @p98 @p94 @p92 @p86)) % 15.95/16.43 (step @p102 :rule cong :premises (@p101) :args (@t46)) % 15.95/16.43 (step @p103 :rule trans :premises (@p102 @p31 @p24 @p20)) % 15.95/16.43 (step @p104 :rule cong :premises (@p77 @p103) :args (@t47)) % 15.95/16.43 (step @p105 :rule trans :premises (@p104 @p84 @p83 @p81 @p62 @p19 @p57 @p30 @p48)) % 15.95/16.43 (step @p106 :rule refl :args (@t48)) % 15.95/16.43 (step @p107 :rule cong :premises (@p106 @p105) :args (@t49)) % 15.95/16.43 (step @p108 :rule trans :premises (@p107 @p34)) % 15.95/16.43 (step @p109 :rule cong :premises (@p108 @p32) :args (@t50)) % 15.95/16.43 (step @p110 :rule trans :premises (@p109 @p18)) % 15.95/16.43 (step @p111 :rule symm :premises (@p104)) % 15.95/16.43 (step @p112 :rule symm :premises (@p84)) % 15.95/16.43 (step @p113 :rule symm :premises (@p81)) % 15.95/16.43 (step @p114 :rule eq-symm :args (@t23 @t10)) % 15.95/16.43 (step @p115 :rule cong :premises (@p114) :args (@t24)) % 15.95/16.43 (step @p116 :rule eq_resolve :premises (@p11 @p115)) % 15.95/16.43 (step @p117 :rule instantiate :premises (@p116) :args ((@list tptp.one @t32))) % 15.95/16.43 (step @p118 :rule symm :premises (@p117)) % 15.95/16.43 (step @p119 :rule trans :premises (@p118 @p31 @p24 @p20 @p61 @p113 @p82 @p112 @p111)) % 15.95/16.43 (step @p120 :rule cong :premises (@p106 @p119) :args (@t51)) % 15.95/16.43 (step @p121 :rule trans :premises (@p120 @p107 @p34)) % 15.95/16.43 (step @p122 :rule cong :premises (@p121 @p110) :args (@t52)) % 15.95/16.43 (step @p123 :rule trans :premises (@p122 @p16)) % 15.95/16.43 (step @p124 :rule false_elim :premises (@p123)) % 15.95/16.43 (assume-push @p135 @t8) % 15.95/16.43 (step @p126 :rule instantiate :premises (@p2) :args ((@list @t48 @t47 @t35))) % 15.95/16.43 (step-pop @p136 :rule scope :premises (@p126)) % 15.95/16.43 (step @p127 :rule process_scope :premises (@p136) :args (@t52)) % 15.95/16.43 (step @p129 :rule implies_elim :premises (@p127)) % 15.95/16.43 (step @p130 false :rule chain_m_resolution :premises (@p129 @p124 @p2) :args (false (@list true false) (@list @t52 @t8))) % 15.95/16.43 ) % 15.95/16.43 % SZS output end Proof % 15.95/16.43 % cvc5 exiting %------------------------------------------------------------------------------