%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX207+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 09:07:22 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX207+1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.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 23:08:16 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.linC (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.linP (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.proj1C (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.c2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.head (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.proj1AP (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.a $$unsorted) % 0.37/0.60 (declare-const tptp.aP (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.bP (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.proj1BP (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.proj2C (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.nil $$unsorted) % 0.37/0.60 (declare-const tptp.pB $$unsorted) % 0.37/0.60 (declare-const tptp.tail (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.pA $$unsorted) % 0.37/0.60 (declare-const tptp.append (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.b $$unsorted) % 0.37/0.60 (declare-const tptp.pE $$unsorted) % 0.37/0.60 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.60 (define @t2 () (@var "X2" $$unsorted)) % 0.37/0.60 (define @t3 () (tptp.cons @t1 @t2)) % 0.37/0.60 (define @t4 () (@list @t1 @t2)) % 0.37/0.60 (define @t5 () (tptp.aP @t1)) % 0.37/0.60 (define @t6 () (@list @t1)) % 0.37/0.60 (define @t7 () (tptp.bP @t1)) % 0.37/0.60 (define @t8 () (forall @t6 (not (= @t5 tptp.pA)))) % 0.37/0.60 (define @t9 () (tptp.c2 @t1 @t2)) % 0.37/0.60 (define @t10 () (tptp.proj2C @t9)) % 0.37/0.60 (define @t11 () (forall @t4 (= @t10 @t2))) % 0.37/0.60 (define @t12 () (@var "Y" $$unsorted)) % 0.37/0.60 (define @t13 () (tptp.append tptp.nil @t12)) % 0.37/0.60 (define @t14 () (forall (@list @t12) (= @t13 @t12))) % 0.37/0.60 (define @t15 () (@var "Xs" $$unsorted)) % 0.37/0.60 (define @t16 () (@var "Z" $$unsorted)) % 0.37/0.60 (define @t17 () (tptp.cons tptp.a tptp.nil)) % 0.37/0.60 (define @t18 () (@var "P" $$unsorted)) % 0.37/0.60 (define @t19 () (tptp.linP @t18)) % 0.37/0.60 (define @t20 () (tptp.cons tptp.b tptp.nil)) % 0.37/0.60 (define @t21 () (@var "Q" $$unsorted)) % 0.37/0.60 (define @t22 () (tptp.linP @t21)) % 0.37/0.60 (define @t23 () (tptp.linP tptp.pA)) % 0.37/0.60 (define @t24 () (@var "V" $$unsorted)) % 0.37/0.60 (define @t25 () (@var "U" $$unsorted)) % 0.37/0.60 (define @t26 () (= @t25 @t24)) % 0.37/0.60 (define @t27 () (= (tptp.linC @t25) (tptp.linC @t24))) % 0.37/0.60 (define @t28 () (=> @t27 @t26)) % 0.37/0.60 (define @t29 () (not @t28)) % 0.37/0.60 (define @t30 () (@list @t25 @t24)) % 0.37/0.60 (define @t31 () (exists @t30 @t29)) % 0.37/0.60 (define @t32 () (not @t31)) % 0.37/0.60 (define @t33 () (tptp.aP tptp.pE)) % 0.37/0.60 (define @t34 () (not (= @t33 tptp.pA))) % 0.37/0.60 (define @t35 () (@list tptp.pE)) % 0.37/0.60 (define @t36 () (= tptp.pA @t33)) % 0.37/0.60 (define @t37 () (@list false)) % 0.37/0.60 (define @t38 () (tptp.aP tptp.pA)) % 0.37/0.60 (define @t39 () (@list @t38 tptp.pA)) % 0.37/0.60 (define @t40 () (@list @t33 @t33)) % 0.37/0.60 (define @t41 () (forall @t30 (or (not @t27) @t26))) % 0.37/0.60 (define @t42 () (forall @t30 (not @t29))) % 0.37/0.60 (define @t43 () (not @t42)) % 0.37/0.60 (define @t44 () (tptp.c2 @t33 @t33)) % 0.37/0.60 (define @t45 () (tptp.c2 @t38 tptp.pA)) % 0.37/0.60 (define @t46 () (tptp.linC @t44)) % 0.37/0.60 (define @t47 () (tptp.linC @t45)) % 0.37/0.60 (define @t48 () (not (= @t46 @t47))) % 0.37/0.60 (define @t49 () (or @t48 (= @t44 @t45))) % 0.37/0.60 (define @t50 () (= @t45 @t44)) % 0.37/0.60 (define @t51 () (= @t47 @t46)) % 0.37/0.60 (define @t52 () (not @t51)) % 0.37/0.60 (define @t53 () (or @t52 @t50)) % 0.37/0.60 (define @t54 () (tptp.linP @t33)) % 0.37/0.60 (define @t55 () (tptp.append tptp.nil @t17)) % 0.37/0.60 (define @t56 () (tptp.append @t23 @t17)) % 0.37/0.60 (define @t57 () (tptp.cons tptp.a @t55)) % 0.37/0.60 (define @t58 () (tptp.append tptp.nil @t56)) % 0.37/0.60 (define @t59 () (tptp.append @t58 @t23)) % 0.37/0.60 (define @t60 () (tptp.proj2C @t45)) % 0.37/0.60 (define @t61 () (= tptp.pA @t60)) % 0.37/0.60 (define @t62 () (= @t33 (tptp.proj2C @t44))) % 0.37/0.60 (define @t63 () (and @t61 @t62 @t50)) % 0.37/0.60 (assume @p1 (forall @t4 (= (tptp.head @t3) @t1))) % 0.37/0.60 (assume @p2 (forall @t4 (= (tptp.tail @t3) @t2))) % 0.37/0.60 (assume @p3 (forall @t4 (not (= tptp.nil @t3)))) % 0.37/0.60 (assume @p4 (not (= tptp.a tptp.b))) % 0.37/0.60 (assume @p5 (forall @t6 (= (tptp.proj1AP @t5) @t1))) % 0.37/0.60 (assume @p6 (forall @t6 (= (tptp.proj1BP @t7) @t1))) % 0.37/0.60 (assume @p7 (forall @t4 (not (= @t5 (tptp.bP @t2))))) % 0.37/0.60 (assume @p8 @t8) % 0.37/0.60 (assume @p9 (forall @t6 (not (= @t5 tptp.pB)))) % 0.37/0.60 (assume @p10 (forall @t6 (not (= @t5 tptp.pE)))) % 0.37/0.60 (assume @p11 (forall @t6 (not (= @t7 tptp.pA)))) % 0.37/0.60 (assume @p12 (forall @t6 (not (= @t7 tptp.pB)))) % 0.37/0.60 (assume @p13 (forall @t6 (not (= @t7 tptp.pE)))) % 0.37/0.60 (assume @p14 (not (= tptp.pA tptp.pB))) % 0.37/0.60 (assume @p15 (not (= tptp.pA tptp.pE))) % 0.37/0.60 (assume @p16 (not (= tptp.pB tptp.pE))) % 0.37/0.60 (assume @p17 (forall @t4 (= (tptp.proj1C @t9) @t1))) % 0.37/0.60 (assume @p18 @t11) % 0.37/0.60 (assume @p19 @t14) % 0.37/0.60 (assume @p20 (forall (@list @t12 @t16 @t15) (= (tptp.append (tptp.cons @t16 @t15) @t12) (tptp.cons @t16 (tptp.append @t15 @t12))))) % 0.37/0.60 (assume @p21 (forall (@list @t18) (= (tptp.linP (tptp.aP @t18)) (tptp.append @t17 (tptp.append @t19 @t17))))) % 0.37/0.60 (assume @p22 (forall (@list @t21) (= (tptp.linP (tptp.bP @t21)) (tptp.append @t20 (tptp.append @t22 @t20))))) % 0.37/0.60 (assume @p23 (= @t23 @t17)) % 0.37/0.60 (assume @p24 (= (tptp.linP tptp.pB) @t20)) % 0.37/0.60 (assume @p25 (= (tptp.linP tptp.pE) tptp.nil)) % 0.37/0.60 (assume @p26 (forall (@list @t18 @t21) (= (tptp.linC (tptp.c2 @t18 @t21)) (tptp.append @t19 @t22)))) % 0.37/0.60 (assume @p27 @t32) % 0.37/0.60 (assume @p28 true) % 0.37/0.60 (step @p29 :rule eq-symm :args (@t33 tptp.pA)) % 0.37/0.60 (step @p30 :rule cong :premises (@p29) :args (@t34)) % 0.37/0.60 (step @p31 :rule refl :args (@t8)) % 0.37/0.60 (step @p32 :rule cong :premises (@p31 @p30) :args ((=> @t8 @t34))) % 0.37/0.60 (assume-push @p137 @t8) % 0.37/0.60 (step @p34 :rule instantiate :premises (@p8) :args (@t35)) % 0.37/0.60 (step-pop @p138 :rule scope :premises (@p34)) % 0.37/0.60 (step @p35 :rule process_scope :premises (@p138) :args (@t34)) % 0.37/0.60 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 0.37/0.60 (step @p38 :rule implies_elim :premises (@p37)) % 0.37/0.60 (step @p39 :rule chain_m_resolution :premises (@p38 @p8) :args ((not @t36) @t37 (@list @t8))) % 0.37/0.60 (step @p40 :rule eq-symm :args (@t10 @t2)) % 0.37/0.60 (step @p41 :rule cong :premises (@p40) :args (@t11)) % 0.37/0.60 (step @p42 :rule eq_resolve :premises (@p18 @p41)) % 0.37/0.60 (step @p43 :rule instantiate :premises (@p42) :args (@t39)) % 0.37/0.60 (step @p44 :rule instantiate :premises (@p42) :args (@t40)) % 0.37/0.60 (step @p45 :rule bool-double-not-elim :args (@t41)) % 0.37/0.60 (step @p46 :rule bool-impl-elim :args (@t27 @t26)) % 0.37/0.60 (step @p47 :rule cong :premises (@p46) :args ((forall @t30 @t28))) % 0.37/0.60 (step @p48 :rule bool-double-not-elim :args (@t28)) % 0.37/0.60 (step @p49 :rule cong :premises (@p48) :args (@t42)) % 0.37/0.60 (step @p50 :rule trans :premises (@p49 @p47)) % 0.37/0.60 (step @p51 :rule cong :premises (@p50) :args (@t43)) % 0.37/0.60 (step @p52 :rule exists-elim :args ((= @t31 @t43))) % 0.37/0.60 (step @p53 :rule trans :premises (@p52 @p51)) % 0.37/0.60 (step @p54 :rule cong :premises (@p53) :args (@t32)) % 0.37/0.60 (step @p55 :rule trans :premises (@p54 @p45)) % 0.37/0.60 (step @p56 :rule eq_resolve :premises (@p27 @p55)) % 0.37/0.60 (step @p57 :rule eq-symm :args (@t44 @t45)) % 0.37/0.60 (step @p58 :rule eq-symm :args (@t46 @t47)) % 0.37/0.60 (step @p59 :rule cong :premises (@p58) :args (@t48)) % 0.37/0.60 (step @p60 :rule nary_cong :premises (@p59 @p57) :args (@t49)) % 0.37/0.60 (step @p61 :rule refl :args (@t41)) % 0.37/0.60 (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t41 @t49))) % 0.37/0.60 (assume-push @p139 @t41) % 0.37/0.60 (step @p64 :rule instantiate :premises (@p56) :args ((@list @t44 @t45))) % 0.37/0.60 (step-pop @p140 :rule scope :premises (@p64)) % 0.37/0.60 (step @p65 :rule process_scope :premises (@p140) :args (@t49)) % 0.37/0.60 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 0.37/0.60 (step @p68 :rule implies_elim :premises (@p67)) % 0.37/0.60 (step @p69 :rule chain_m_resolution :premises (@p68 @p56) :args (@t53 @t37 (@list @t41))) % 0.37/0.60 (step @p70 :rule instantiate :premises (@p26) :args (@t40)) % 0.37/0.60 (step @p71 :rule symm :premises (@p70)) % 0.37/0.60 (step @p72 :rule refl :args (@t54)) % 0.37/0.60 (step @p73 :rule instantiate :premises (@p21) :args (@t35)) % 0.37/0.60 (step @p74 :rule symm :premises (@p73)) % 0.37/0.60 (step @p75 :rule refl :args (@t17)) % 0.37/0.60 (step @p76 :rule symm :premises (@p25)) % 0.37/0.60 (step @p77 :rule cong :premises (@p76 @p75) :args (@t55)) % 0.37/0.60 (step @p78 :rule eq-symm :args (@t13 @t12)) % 0.37/0.60 (step @p79 :rule cong :premises (@p78) :args (@t14)) % 0.37/0.60 (step @p80 :rule eq_resolve :premises (@p19 @p79)) % 0.37/0.60 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t17))) % 0.37/0.60 (step @p82 :rule trans :premises (@p81 @p77)) % 0.37/0.60 (step @p83 :rule cong :premises (@p23 @p82) :args (@t56)) % 0.37/0.60 (step @p84 :rule symm :premises (@p23)) % 0.37/0.60 (step @p85 :rule cong :premises (@p84 @p75) :args ((tptp.append @t17 @t17))) % 0.37/0.60 (step @p86 :rule instantiate :premises (@p20) :args ((@list @t17 tptp.a tptp.nil))) % 0.37/0.60 (step @p87 :rule symm :premises (@p86)) % 0.37/0.60 (step @p88 :rule trans :premises (@p87 @p85 @p83 @p74)) % 0.37/0.60 (step @p89 :rule cong :premises (@p88 @p72) :args ((tptp.append @t57 @t54))) % 0.37/0.60 (step @p90 :rule instantiate :premises (@p20) :args ((@list @t54 tptp.a @t55))) % 0.37/0.60 (step @p91 :rule symm :premises (@p90)) % 0.37/0.60 (step @p92 :rule trans :premises (@p83 @p74)) % 0.37/0.60 (step @p93 :rule cong :premises (@p81 @p92) :args ((tptp.append @t17 @t56))) % 0.37/0.60 (step @p94 :rule instantiate :premises (@p20) :args ((@list @t56 tptp.a tptp.nil))) % 0.37/0.60 (step @p95 :rule symm :premises (@p94)) % 0.37/0.60 (step @p96 :rule instantiate :premises (@p80) :args ((@list @t56))) % 0.37/0.60 (step @p97 :rule refl :args (tptp.a)) % 0.37/0.60 (step @p98 :rule cong :premises (@p97 @p96) :args ((tptp.cons tptp.a @t56))) % 0.37/0.60 (step @p99 :rule instantiate :premises (@p20) :args ((@list @t17 tptp.a @t23))) % 0.37/0.60 (step @p100 :rule trans :premises (@p23 @p81)) % 0.37/0.60 (step @p101 :rule symm :premises (@p100)) % 0.37/0.60 (step @p102 :rule cong :premises (@p97 @p101) :args (@t57)) % 0.37/0.60 (step @p103 :rule symm :premises (@p85)) % 0.37/0.60 (step @p104 :rule symm :premises (@p83)) % 0.37/0.60 (step @p105 :rule trans :premises (@p73 @p104 @p103 @p86 @p102)) % 0.37/0.60 (step @p106 :rule symm :premises (@p96)) % 0.37/0.60 (step @p107 :rule trans :premises (@p106 @p83 @p74)) % 0.37/0.60 (step @p108 :rule trans :premises (@p107 @p105)) % 0.37/0.60 (step @p109 :rule cong :premises (@p108 @p23) :args (@t59)) % 0.37/0.60 (step @p110 :rule trans :premises (@p109 @p99 @p98 @p95 @p93)) % 0.37/0.60 (step @p111 :rule cong :premises (@p97 @p110) :args ((tptp.cons tptp.a @t59))) % 0.37/0.60 (step @p112 :rule instantiate :premises (@p20) :args ((@list @t23 tptp.a @t58))) % 0.37/0.60 (step @p113 :rule refl :args (@t23)) % 0.37/0.60 (step @p114 :rule instantiate :premises (@p21) :args ((@list tptp.pA))) % 0.37/0.60 (step @p115 :rule trans :premises (@p114 @p94)) % 0.37/0.60 (step @p116 :rule cong :premises (@p115 @p113) :args ((tptp.append (tptp.linP @t38) @t23))) % 0.37/0.60 (step @p117 :rule instantiate :premises (@p26) :args (@t39)) % 0.37/0.60 (step @p118 :rule trans :premises (@p117 @p116 @p112 @p111 @p91 @p89 @p71)) % 0.37/0.60 (step @p119 :rule cnf_or_pos :args (@t53)) % 0.37/0.60 (step @p120 :rule reordering :premises (@p119) :args ((or @t52 @t50 (not @t53)))) % 0.37/0.60 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p69) :args (@t50 (@list false false) (@list @t51 @t53))) % 0.37/0.60 (assume-push @p141 @t61) % 0.37/0.60 (assume-push @p142 @t62) % 0.37/0.60 (assume-push @p143 @t50) % 0.37/0.60 (step @p125 :rule symm :premises (@p44)) % 0.37/0.60 (step @p126 :rule cong :premises (@p121) :args (@t60)) % 0.37/0.60 (step @p127 :rule trans :premises (@p43 @p126 @p125)) % 0.37/0.60 (step-pop @p144 :rule scope :premises (@p127)) % 0.37/0.60 (step-pop @p145 :rule scope :premises (@p144)) % 0.37/0.60 (step-pop @p146 :rule scope :premises (@p145)) % 0.37/0.60 (step @p128 :rule process_scope :premises (@p146) :args (@t36)) % 0.37/0.60 (step @p132 :rule implies_elim :premises (@p128)) % 0.37/0.60 (step @p133 :rule cnf_and_neg :args (@t63)) % 0.37/0.60 (step @p134 :rule resolution :premises (@p133 @p132) :args (true @t63)) % 0.37/0.60 (step @p135 :rule reordering :premises (@p134) :args ((or @t36 (not @t61) (not @t62) (not @t50)))) % 0.37/0.60 (step @p136 false :rule chain_m_resolution :premises (@p135 @p121 @p44 @p43 @p39) :args (false (@list false false false true) (@list @t50 @t62 @t61 @t36))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------