%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX186-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 09:07:18 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX186-1 : TPTP v9.3.0. Released v9.3.0. % 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 : n028.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 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:04:50 EDT 2026 % 0.17/0.34 % 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... % 0.39/0.56 % SZS status Unsatisfiable % 0.39/0.56 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.eq2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.eq3 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.eq (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.drop (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.prop_drop_inj2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.nil $$unsorted) % 0.39/0.57 (declare-const tptp.bfalse $$unsorted) % 0.39/0.57 (declare-const tptp.impl (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.z $$unsorted) % 0.39/0.57 (declare-const tptp.btrue $$unsorted) % 0.39/0.57 (define @t1 () (@var "Q" $$unsorted)) % 0.39/0.57 (define @t2 () (tptp.impl tptp.btrue @t1)) % 0.39/0.57 (define @t3 () (@list @t1)) % 0.39/0.57 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.39/0.57 (define @t5 () (@var "Z" $$unsorted)) % 0.39/0.57 (define @t6 () (tptp.s @t5)) % 0.39/0.57 (define @t7 () (tptp.drop @t6 tptp.nil)) % 0.39/0.57 (define @t8 () (forall (@list @t5) (= @t7 tptp.nil))) % 0.39/0.57 (define @t9 () (@var "X3" $$unsorted)) % 0.39/0.57 (define @t10 () (@var "X2" $$unsorted)) % 0.39/0.57 (define @t11 () (@var "Y" $$unsorted)) % 0.39/0.57 (define @t12 () (tptp.drop tptp.z @t11)) % 0.39/0.57 (define @t13 () (forall (@list @t11) (= @t12 @t11))) % 0.39/0.57 (define @t14 () (@var "X" $$unsorted)) % 0.39/0.57 (define @t15 () (tptp.prop_drop_inj2 @t14 @t11 @t5)) % 0.39/0.57 (define @t16 () (@list @t14 @t11 @t5)) % 0.39/0.57 (define @t17 () (tptp.s @t14)) % 0.39/0.57 (define @t18 () (@list @t14 @t11)) % 0.39/0.57 (define @t19 () (@list @t14)) % 0.39/0.57 (define @t20 () (tptp.eq @t14 @t14)) % 0.39/0.57 (define @t21 () (forall @t19 (= @t20 tptp.btrue))) % 0.39/0.57 (define @t22 () (tptp.eq3 @t14 @t14)) % 0.39/0.57 (define @t23 () (forall @t19 (= @t22 tptp.btrue))) % 0.39/0.57 (define @t24 () (tptp.cons @t14 @t11)) % 0.39/0.57 (define @t25 () (tptp.eq @t24 (tptp.cons @t5 @t10))) % 0.39/0.57 (define @t26 () (tptp.eq2 @t14 @t5)) % 0.39/0.57 (define @t27 () (@list @t14 @t5 @t11 @t10)) % 0.39/0.57 (define @t28 () (tptp.eq @t24 tptp.nil)) % 0.39/0.57 (define @t29 () (forall @t18 (= @t28 tptp.bfalse))) % 0.39/0.57 (define @t30 () (tptp.eq3 @t15 tptp.bfalse)) % 0.39/0.57 (define @t31 () (not (= @t30 tptp.btrue))) % 0.39/0.57 (define @t32 () (forall @t16 @t31)) % 0.39/0.57 (define @t33 () (@list tptp.nil)) % 0.39/0.57 (define @t34 () (tptp.cons tptp.z tptp.nil)) % 0.39/0.57 (define @t35 () (tptp.s tptp.z)) % 0.39/0.57 (define @t36 () (@list @t35 @t34 tptp.nil)) % 0.39/0.57 (define @t37 () (tptp.eq @t34 tptp.nil)) % 0.39/0.57 (define @t38 () (tptp.eq3 tptp.bfalse tptp.bfalse)) % 0.39/0.57 (define @t39 () (= tptp.btrue @t38)) % 0.39/0.57 (define @t40 () (not @t39)) % 0.39/0.57 (define @t41 () (tptp.prop_drop_inj2 @t35 @t34 tptp.nil)) % 0.39/0.57 (define @t42 () (= tptp.btrue (tptp.eq3 @t41 tptp.bfalse))) % 0.39/0.57 (define @t43 () (tptp.impl tptp.btrue @t37)) % 0.39/0.57 (define @t44 () (= @t37 @t43)) % 0.39/0.57 (define @t45 () (not @t44)) % 0.39/0.57 (define @t46 () (tptp.drop @t35 tptp.nil)) % 0.39/0.57 (define @t47 () (tptp.drop @t35 @t34)) % 0.39/0.57 (define @t48 () (= @t41 (tptp.impl (tptp.eq @t47 @t46) @t37))) % 0.39/0.57 (define @t49 () (not @t48)) % 0.39/0.57 (define @t50 () (= tptp.bfalse @t37)) % 0.39/0.57 (define @t51 () (not @t50)) % 0.39/0.57 (define @t52 () (tptp.eq tptp.nil tptp.nil)) % 0.39/0.57 (define @t53 () (= tptp.btrue @t52)) % 0.39/0.57 (define @t54 () (not @t53)) % 0.39/0.57 (define @t55 () (tptp.drop tptp.z tptp.nil)) % 0.39/0.57 (define @t56 () (= tptp.nil @t55)) % 0.39/0.57 (define @t57 () (not @t56)) % 0.39/0.57 (define @t58 () (= @t47 @t55)) % 0.39/0.57 (define @t59 () (not @t58)) % 0.39/0.57 (define @t60 () (= tptp.nil @t46)) % 0.39/0.57 (define @t61 () (not @t60)) % 0.39/0.57 (define @t62 () (not @t42)) % 0.39/0.57 (define @t63 () (and @t40 @t39)) % 0.39/0.57 (assume @p1 @t4) % 0.39/0.57 (assume @p2 (forall @t3 (= (tptp.impl tptp.bfalse @t1) tptp.btrue))) % 0.39/0.57 (assume @p3 @t8) % 0.39/0.57 (assume @p4 (forall (@list @t5 @t10 @t9) (= (tptp.drop @t6 (tptp.cons @t10 @t9)) (tptp.drop @t5 @t9)))) % 0.39/0.57 (assume @p5 @t13) % 0.39/0.57 (assume @p6 (forall @t16 (= @t15 (tptp.impl (tptp.eq (tptp.drop @t14 @t11) (tptp.drop @t14 @t5)) (tptp.eq @t11 @t5))))) % 0.39/0.57 (assume @p7 (= (tptp.eq3 tptp.bfalse tptp.btrue) tptp.bfalse)) % 0.39/0.57 (assume @p8 (= (tptp.eq3 tptp.btrue tptp.bfalse) tptp.bfalse)) % 0.39/0.57 (assume @p9 (forall @t18 (= (tptp.eq2 @t17 (tptp.s @t11)) (tptp.eq2 @t14 @t11)))) % 0.39/0.57 (assume @p10 (forall @t19 (= (tptp.eq2 @t17 tptp.z) tptp.bfalse))) % 0.39/0.57 (assume @p11 (forall @t19 (= (tptp.eq2 tptp.z @t17) tptp.bfalse))) % 0.39/0.57 (assume @p12 @t21) % 0.39/0.57 (assume @p13 (forall @t19 (= (tptp.eq2 @t14 @t14) tptp.btrue))) % 0.39/0.57 (assume @p14 @t23) % 0.39/0.57 (assume @p15 (forall @t27 (or (not (= @t26 tptp.bfalse)) (= @t25 tptp.bfalse)))) % 0.39/0.57 (assume @p16 (forall @t27 (or (not (= @t26 tptp.btrue)) (= @t25 (tptp.eq @t11 @t10))))) % 0.39/0.57 (assume @p17 (forall @t18 (= (tptp.eq tptp.nil @t24) tptp.bfalse))) % 0.39/0.57 (assume @p18 @t29) % 0.39/0.57 (assume @p19 @t32) % 0.39/0.57 (step @p20 :rule eq-symm :args (@t7 tptp.nil)) % 0.39/0.57 (step @p21 :rule cong :premises (@p20) :args (@t8)) % 0.39/0.57 (step @p22 :rule eq_resolve :premises (@p3 @p21)) % 0.39/0.57 (step @p23 :rule instantiate :premises (@p22) :args ((@list tptp.z))) % 0.39/0.57 (step @p24 :rule instantiate :premises (@p4) :args ((@list tptp.z tptp.z tptp.nil))) % 0.39/0.57 (step @p25 :rule eq-symm :args (@t12 @t11)) % 0.39/0.57 (step @p26 :rule cong :premises (@p25) :args (@t13)) % 0.39/0.57 (step @p27 :rule eq_resolve :premises (@p5 @p26)) % 0.39/0.57 (step @p28 :rule instantiate :premises (@p27) :args (@t33)) % 0.39/0.57 (step @p29 :rule eq-symm :args (@t20 tptp.btrue)) % 0.39/0.57 (step @p30 :rule cong :premises (@p29) :args (@t21)) % 0.39/0.57 (step @p31 :rule eq_resolve :premises (@p12 @p30)) % 0.39/0.57 (step @p32 :rule instantiate :premises (@p31) :args (@t33)) % 0.39/0.57 (step @p33 :rule eq-symm :args (@t28 tptp.bfalse)) % 0.39/0.57 (step @p34 :rule cong :premises (@p33) :args (@t29)) % 0.39/0.57 (step @p35 :rule eq_resolve :premises (@p18 @p34)) % 0.39/0.57 (step @p36 :rule instantiate :premises (@p35) :args ((@list tptp.z tptp.nil))) % 0.39/0.57 (step @p37 :rule instantiate :premises (@p6) :args (@t36)) % 0.39/0.57 (step @p38 :rule eq-symm :args (@t2 @t1)) % 0.39/0.57 (step @p39 :rule cong :premises (@p38) :args (@t4)) % 0.39/0.57 (step @p40 :rule eq_resolve :premises (@p1 @p39)) % 0.39/0.57 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t37))) % 0.39/0.57 (step @p42 :rule eq-symm :args (@t30 tptp.btrue)) % 0.39/0.57 (step @p43 :rule cong :premises (@p42) :args (@t31)) % 0.39/0.57 (step @p44 :rule cong :premises (@p43) :args (@t32)) % 0.39/0.57 (step @p45 :rule eq_resolve :premises (@p19 @p44)) % 0.39/0.57 (step @p46 :rule instantiate :premises (@p45) :args (@t36)) % 0.39/0.57 (step @p47 :rule eq-symm :args (@t22 tptp.btrue)) % 0.39/0.57 (step @p48 :rule cong :premises (@p47) :args (@t23)) % 0.39/0.57 (step @p49 :rule eq_resolve :premises (@p14 @p48)) % 0.39/0.57 (step @p50 :rule instantiate :premises (@p49) :args ((@list tptp.bfalse))) % 0.39/0.57 (step @p51 :rule refl :args (@t40)) % 0.39/0.57 (step @p52 :rule bool-double-not-elim :args (@t42)) % 0.39/0.57 (step @p53 :rule refl :args (@t45)) % 0.39/0.57 (step @p54 :rule refl :args (@t49)) % 0.39/0.57 (step @p55 :rule refl :args (@t51)) % 0.39/0.57 (step @p56 :rule refl :args (@t54)) % 0.39/0.57 (step @p57 :rule refl :args (@t57)) % 0.39/0.57 (step @p58 :rule refl :args (@t59)) % 0.39/0.57 (step @p59 :rule refl :args (@t61)) % 0.39/0.57 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51) :args ((or @t61 @t59 @t57 @t54 @t51 @t49 @t45 (not @t62) @t40))) % 0.39/0.57 (assume-push @p113 @t40) % 0.39/0.57 (assume-push @p114 @t39) % 0.39/0.57 (step @p63 :rule evaluate :args ((= false true))) % 0.39/0.57 (step @p64 :rule true_intro :premises (@p50)) % 0.39/0.57 (step @p65 :rule false_intro :premises (@p46)) % 0.39/0.57 (step @p66 :rule refl :args (tptp.bfalse)) % 0.39/0.57 (step @p67 :rule symm :premises (@p37)) % 0.39/0.57 (step @p68 :rule refl :args (@t37)) % 0.39/0.57 (step @p69 :rule symm :premises (@p24)) % 0.39/0.57 (step @p70 :rule trans :premises (@p28 @p69)) % 0.39/0.57 (step @p71 :rule cong :premises (@p70 @p23) :args (@t52)) % 0.39/0.57 (step @p72 :rule trans :premises (@p32 @p71)) % 0.39/0.57 (step @p73 :rule cong :premises (@p72 @p68) :args (@t43)) % 0.39/0.57 (step @p74 :rule trans :premises (@p36 @p41 @p73 @p67)) % 0.39/0.57 (step @p75 :rule cong :premises (@p74 @p66) :args (@t38)) % 0.39/0.57 (step @p76 :rule refl :args (tptp.btrue)) % 0.39/0.57 (step @p77 :rule cong :premises (@p76 @p75) :args (@t39)) % 0.39/0.57 (step @p78 :rule trans :premises (@p77 @p65)) % 0.39/0.57 (step @p79 :rule symm :premises (@p78)) % 0.39/0.57 (step @p80 :rule trans :premises (@p79 @p64)) % 0.39/0.57 (step @p81 false :rule eq_resolve :premises (@p80 @p63)) % 0.39/0.57 (step-pop @p115 :rule scope :premises (@p81)) % 0.39/0.57 (step-pop @p116 :rule scope :premises (@p115)) % 0.39/0.57 (step @p82 :rule process_scope :premises (@p116) :args (false)) % 0.39/0.57 (assume-push @p117 @t60) % 0.39/0.57 (assume-push @p118 @t58) % 0.39/0.57 (assume-push @p119 @t56) % 0.39/0.57 (assume-push @p120 @t53) % 0.39/0.57 (assume-push @p121 @t50) % 0.39/0.57 (assume-push @p122 @t48) % 0.39/0.57 (assume-push @p123 @t44) % 0.39/0.57 (assume-push @p124 @t62) % 0.39/0.57 (assume-push @p125 @t39) % 0.39/0.57 (step @p65 :rule false_intro :premises (@p46)) % 0.39/0.57 (step @p66 :rule refl :args (tptp.bfalse)) % 0.39/0.57 (step @p67 :rule symm :premises (@p37)) % 0.39/0.57 (step @p68 :rule refl :args (@t37)) % 0.39/0.57 (step @p69 :rule symm :premises (@p24)) % 0.39/0.57 (step @p70 :rule trans :premises (@p28 @p69)) % 0.39/0.57 (step @p71 :rule cong :premises (@p70 @p23) :args (@t52)) % 0.39/0.57 (step @p72 :rule trans :premises (@p32 @p71)) % 0.39/0.57 (step @p73 :rule cong :premises (@p72 @p68) :args (@t43)) % 0.39/0.57 (step @p74 :rule trans :premises (@p36 @p41 @p73 @p67)) % 0.39/0.57 (step @p75 :rule cong :premises (@p74 @p66) :args (@t38)) % 0.39/0.57 (step @p76 :rule refl :args (tptp.btrue)) % 0.39/0.57 (step @p77 :rule cong :premises (@p76 @p75) :args (@t39)) % 0.39/0.57 (step @p94 :rule trans :premises (@p77 @p65)) % 0.39/0.57 (step @p95 :rule false_elim :premises (@p94)) % 0.39/0.57 (step @p96 :rule and_intro :premises (@p95 @p50)) % 0.39/0.57 (step-pop @p126 :rule scope :premises (@p96)) % 0.39/0.57 (step-pop @p127 :rule scope :premises (@p126)) % 0.39/0.57 (step-pop @p128 :rule scope :premises (@p127)) % 0.39/0.57 (step-pop @p129 :rule scope :premises (@p128)) % 0.39/0.57 (step-pop @p130 :rule scope :premises (@p129)) % 0.39/0.57 (step-pop @p131 :rule scope :premises (@p130)) % 0.39/0.57 (step-pop @p132 :rule scope :premises (@p131)) % 0.39/0.57 (step-pop @p133 :rule scope :premises (@p132)) % 0.39/0.57 (step-pop @p134 :rule scope :premises (@p133)) % 0.39/0.57 (step @p97 :rule process_scope :premises (@p134) :args (@t63)) % 0.39/0.57 (step @p107 :rule implies_elim :premises (@p97)) % 0.39/0.57 (step @p108 :rule resolution :premises (@p107 @p82) :args (true @t63)) % 0.39/0.57 (step @p109 :rule not_and :premises (@p108)) % 0.39/0.57 (step @p110 :rule eq_resolve :premises (@p109 @p60)) % 0.39/0.57 (step @p111 :rule reordering :premises (@p110) :args ((or @t61 @t59 @t57 @t54 @t51 @t49 @t42 @t45 @t40))) % 0.39/0.57 (step @p112 false :rule chain_m_resolution :premises (@p111 @p50 @p46 @p41 @p37 @p36 @p32 @p28 @p24 @p23) :args (false (@list false true false false false false false false false) (@list @t39 @t42 @t44 @t48 @t50 @t53 @t56 @t58 @t60))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------