%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW410-1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 09:04:53 AM UTC 2026 % Result : Unsatisfiable 2.63s 2.89s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW410-1 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:57:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.63/2.89 % SZS status Unsatisfiable % 2.63/2.89 % SZS output start Proof % 2.63/2.89 ( % 2.63/2.89 (declare-sort $$unsorted 0) % 2.63/2.89 (declare-const tptp.emp $$unsorted) % 2.63/2.89 (declare-const tptp.x3 $$unsorted) % 2.63/2.89 (declare-const tptp.x2 $$unsorted) % 2.63/2.89 (declare-const tptp.heap (-> $$unsorted Bool)) % 2.63/2.89 (declare-const tptp.next (-> $$unsorted $$unsorted $$unsorted)) % 2.63/2.89 (declare-const tptp.x1 $$unsorted) % 2.63/2.89 (declare-const tptp.lseg (-> $$unsorted $$unsorted $$unsorted)) % 2.63/2.89 (declare-const tptp.nil $$unsorted) % 2.63/2.89 (declare-const tptp.sep (-> $$unsorted $$unsorted $$unsorted)) % 2.63/2.89 (define @t1 () (@var "Sigma" $$unsorted)) % 2.63/2.89 (define @t2 () (@var "S" $$unsorted)) % 2.63/2.89 (define @t3 () (@var "T" $$unsorted)) % 2.63/2.89 (define @t4 () (forall (@list @t2 @t3 @t1) (= (tptp.sep @t2 (tptp.sep @t3 @t1)) (tptp.sep @t3 (tptp.sep @t2 @t1))))) % 2.63/2.89 (define @t5 () (@var "X" $$unsorted)) % 2.63/2.89 (define @t6 () (tptp.sep (tptp.lseg @t5 @t5) @t1)) % 2.63/2.89 (define @t7 () (forall (@list @t5 @t1) (= @t6 @t1))) % 2.63/2.89 (define @t8 () (@var "Y" $$unsorted)) % 2.63/2.89 (define @t9 () (@list @t8 @t1)) % 2.63/2.89 (define @t10 () (@var "Z" $$unsorted)) % 2.63/2.89 (define @t11 () (tptp.next @t5 @t8)) % 2.63/2.89 (define @t12 () (@list @t5 @t8 @t10 @t1)) % 2.63/2.89 (define @t13 () (= @t5 @t10)) % 2.63/2.89 (define @t14 () (tptp.lseg @t5 @t10)) % 2.63/2.89 (define @t15 () (tptp.sep @t14 @t1)) % 2.63/2.89 (define @t16 () (= @t5 @t8)) % 2.63/2.89 (define @t17 () (tptp.lseg @t5 @t8)) % 2.63/2.89 (define @t18 () (tptp.lseg @t8 @t10)) % 2.63/2.89 (define @t19 () (@var "W" $$unsorted)) % 2.63/2.89 (define @t20 () (tptp.sep (tptp.next @t10 @t19) @t1)) % 2.63/2.89 (define @t21 () (@list @t5 @t8 @t10 @t19 @t1)) % 2.63/2.89 (define @t22 () (tptp.sep (tptp.lseg @t10 @t19) @t1)) % 2.63/2.89 (define @t23 () (forall @t21 (or (not (tptp.heap (tptp.sep @t17 (tptp.sep @t18 @t22)))) (= @t10 @t19) (tptp.heap (tptp.sep @t14 @t22))))) % 2.63/2.89 (define @t24 () (= tptp.x1 tptp.x3)) % 2.63/2.89 (define @t25 () (tptp.next tptp.x1 tptp.x3)) % 2.63/2.89 (define @t26 () (tptp.sep @t25 tptp.emp)) % 2.63/2.89 (define @t27 () (tptp.lseg tptp.x3 tptp.nil)) % 2.63/2.89 (define @t28 () (tptp.lseg tptp.x2 tptp.x1)) % 2.63/2.89 (define @t29 () (tptp.lseg tptp.x2 tptp.x3)) % 2.63/2.89 (define @t30 () (tptp.sep @t29 tptp.emp)) % 2.63/2.89 (define @t31 () (tptp.sep @t27 tptp.emp)) % 2.63/2.89 (define @t32 () (tptp.heap (tptp.sep @t29 @t31))) % 2.63/2.89 (define @t33 () (tptp.lseg tptp.x1 tptp.x3)) % 2.63/2.89 (define @t34 () (tptp.sep @t28 (tptp.sep @t33 @t31))) % 2.63/2.89 (define @t35 () (tptp.heap @t34)) % 2.63/2.89 (define @t36 () (not @t35)) % 2.63/2.89 (define @t37 () (or @t36 (= tptp.x3 tptp.nil) @t32)) % 2.63/2.89 (define @t38 () (= tptp.nil tptp.x3)) % 2.63/2.89 (define @t39 () (or @t36 @t38 @t32)) % 2.63/2.89 (define @t40 () (@list false)) % 2.63/2.89 (define @t41 () (tptp.sep @t28 tptp.emp)) % 2.63/2.89 (define @t42 () (tptp.sep @t27 @t41)) % 2.63/2.89 (define @t43 () (tptp.lseg tptp.x3 tptp.x3)) % 2.63/2.89 (define @t44 () (tptp.sep @t43 @t42)) % 2.63/2.89 (define @t45 () (tptp.sep @t25 @t44)) % 2.63/2.89 (define @t46 () (tptp.heap @t45)) % 2.63/2.89 (define @t47 () (tptp.heap (tptp.sep @t33 @t42))) % 2.63/2.89 (define @t48 () (not @t46)) % 2.63/2.89 (define @t49 () (or @t48 @t24 @t47)) % 2.63/2.89 (define @t50 () (@list true false false)) % 2.63/2.89 (define @t51 () (tptp.sep @t33 (tptp.sep @t28 @t31))) % 2.63/2.89 (define @t52 () (= @t51 @t34)) % 2.63/2.89 (define @t53 () (tptp.lseg tptp.x2 tptp.nil)) % 2.63/2.89 (define @t54 () (tptp.sep @t53 tptp.emp)) % 2.63/2.89 (define @t55 () (tptp.sep @t53 (tptp.sep (tptp.lseg tptp.x1 tptp.x1) tptp.emp))) % 2.63/2.89 (define @t56 () (tptp.heap @t54)) % 2.63/2.89 (define @t57 () (tptp.heap (tptp.sep @t25 @t42))) % 2.63/2.89 (define @t58 () (tptp.lseg tptp.x1 tptp.nil)) % 2.63/2.89 (define @t59 () (tptp.heap (tptp.sep @t58 @t41))) % 2.63/2.89 (define @t60 () (not @t57)) % 2.63/2.89 (define @t61 () (or @t60 @t24 @t59)) % 2.63/2.89 (define @t62 () (tptp.heap (tptp.sep @t28 (tptp.sep @t58 tptp.emp)))) % 2.63/2.89 (define @t63 () (not @t62)) % 2.63/2.89 (define @t64 () (or @t63 @t56)) % 2.63/2.89 (assume @p1 @t4) % 2.63/2.89 (assume @p2 @t7) % 2.63/2.89 (assume @p3 (forall @t9 (not (tptp.heap (tptp.sep (tptp.next tptp.nil @t8) @t1))))) % 2.63/2.89 (assume @p4 (forall @t9 (or (not (tptp.heap (tptp.sep (tptp.lseg tptp.nil @t8) @t1))) (= @t8 tptp.nil)))) % 2.63/2.89 (assume @p5 (forall @t12 (not (tptp.heap (tptp.sep @t11 (tptp.sep (tptp.next @t5 @t10) @t1)))))) % 2.63/2.89 (assume @p6 (forall @t12 (or (not (tptp.heap (tptp.sep @t11 @t15))) @t13))) % 2.63/2.89 (assume @p7 (forall @t12 (or (not (tptp.heap (tptp.sep @t17 @t15))) @t16 @t13))) % 2.63/2.89 (assume @p8 (forall @t12 (or (not (tptp.heap (tptp.sep @t11 (tptp.sep @t18 @t1)))) @t16 (tptp.heap @t15)))) % 2.63/2.89 (assume @p9 (forall (@list @t5 @t8 @t1) (or (not (tptp.heap (tptp.sep @t17 (tptp.sep (tptp.lseg @t8 tptp.nil) @t1)))) (tptp.heap (tptp.sep (tptp.lseg @t5 tptp.nil) @t1))))) % 2.63/2.89 (assume @p10 (forall @t21 (or (not (tptp.heap (tptp.sep @t17 (tptp.sep @t18 @t20)))) (tptp.heap (tptp.sep @t14 @t20))))) % 2.63/2.89 (assume @p11 @t23) % 2.63/2.89 (assume @p12 (not (= tptp.nil tptp.x1))) % 2.63/2.89 (assume @p13 (not (= tptp.nil tptp.x2))) % 2.63/2.89 (assume @p14 (not @t24)) % 2.63/2.89 (assume @p15 (not (= tptp.x3 tptp.x2))) % 2.63/2.89 (assume @p16 (tptp.heap (tptp.sep @t28 (tptp.sep @t27 @t26)))) % 2.63/2.89 (assume @p17 (not (tptp.heap (tptp.sep @t27 @t30)))) % 2.63/2.89 (step @p18 :rule evaluate :args ((= true false))) % 2.63/2.89 (step @p19 :rule false_intro :premises (@p17)) % 2.63/2.89 (step @p20 :rule refl :args (@t30)) % 2.63/2.89 (step @p21 :rule refl :args (@t32)) % 2.63/2.89 (step @p22 :rule eq-symm :args (tptp.x3 tptp.nil)) % 2.63/2.89 (step @p23 :rule refl :args (@t36)) % 2.63/2.89 (step @p24 :rule nary_cong :premises (@p23 @p22 @p21) :args (@t37)) % 2.63/2.89 (step @p25 :rule refl :args (@t23)) % 2.63/2.89 (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t23 @t37))) % 2.63/2.89 (assume-push @p137 @t23) % 2.63/2.89 (step @p28 :rule instantiate :premises (@p11) :args ((@list tptp.x2 tptp.x1 tptp.x3 tptp.nil tptp.emp))) % 2.63/2.89 (step-pop @p138 :rule scope :premises (@p28)) % 2.63/2.89 (step @p29 :rule process_scope :premises (@p138) :args (@t37)) % 2.63/2.89 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 2.63/2.89 (step @p32 :rule implies_elim :premises (@p31)) % 2.63/2.89 (step @p33 :rule chain_m_resolution :premises (@p32 @p11) :args (@t39 @t40 (@list @t23))) % 2.63/2.89 (step @p34 :rule instantiate :premises (@p8) :args ((@list tptp.x1 tptp.x3 tptp.x3 @t42))) % 2.63/2.89 (step @p35 :rule true_intro :premises (@p16)) % 2.63/2.89 (step @p36 :rule instantiate :premises (@p1) :args ((@list @t27 @t25 tptp.emp))) % 2.63/2.89 (step @p37 :rule symm :premises (@p36)) % 2.63/2.89 (step @p38 :rule refl :args (@t28)) % 2.63/2.89 (step @p39 :rule cong :premises (@p38 @p37) :args ((tptp.sep @t28 (tptp.sep @t25 @t31)))) % 2.63/2.89 (step @p40 :rule instantiate :premises (@p1) :args ((@list @t28 @t25 @t31))) % 2.63/2.89 (step @p41 :rule symm :premises (@p40)) % 2.63/2.89 (step @p42 :rule eq-symm :args (@t6 @t1)) % 2.63/2.89 (step @p43 :rule cong :premises (@p42) :args (@t7)) % 2.63/2.89 (step @p44 :rule eq_resolve :premises (@p2 @p43)) % 2.63/2.89 (step @p45 :rule instantiate :premises (@p44) :args ((@list tptp.x3 @t31))) % 2.63/2.89 (step @p46 :rule symm :premises (@p45)) % 2.63/2.89 (step @p47 :rule cong :premises (@p38 @p46) :args ((tptp.sep @t28 (tptp.sep @t43 @t31)))) % 2.63/2.89 (step @p48 :rule instantiate :premises (@p1) :args ((@list @t28 @t43 @t31))) % 2.63/2.89 (step @p49 :rule symm :premises (@p48)) % 2.63/2.89 (step @p50 :rule instantiate :premises (@p1) :args ((@list @t28 @t27 tptp.emp))) % 2.63/2.89 (step @p51 :rule symm :premises (@p50)) % 2.63/2.89 (step @p52 :rule refl :args (@t43)) % 2.63/2.89 (step @p53 :rule cong :premises (@p52 @p51) :args (@t44)) % 2.63/2.89 (step @p54 :rule trans :premises (@p53 @p49 @p47)) % 2.63/2.89 (step @p55 :rule refl :args (@t25)) % 2.63/2.89 (step @p56 :rule cong :premises (@p55 @p54) :args (@t45)) % 2.63/2.89 (step @p57 :rule trans :premises (@p56 @p41 @p39)) % 2.63/2.89 (step @p58 :rule cong :premises (@p57) :args (@t46)) % 2.63/2.89 (step @p59 :rule trans :premises (@p58 @p35)) % 2.63/2.89 (step @p60 :rule true_elim :premises (@p59)) % 2.63/2.89 (step @p61 :rule cnf_or_pos :args (@t49)) % 2.63/2.89 (step @p62 :rule reordering :premises (@p61) :args ((or @t24 @t48 @t47 (not @t49)))) % 2.63/2.89 (step @p63 :rule chain_m_resolution :premises (@p62 @p14 @p60 @p34) :args (@t47 @t50 (@list @t24 @t46 @t49))) % 2.63/2.89 (step @p64 :rule true_intro :premises (@p63)) % 2.63/2.89 (step @p65 :rule refl :args (@t33)) % 2.63/2.89 (step @p66 :rule cong :premises (@p65 @p50) :args (@t51)) % 2.63/2.89 (step @p67 :rule eq-symm :args (@t51 @t34)) % 2.63/2.89 (step @p68 :rule refl :args (@t4)) % 2.63/2.89 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t4 @t52))) % 2.63/2.89 (assume-push @p139 @t4) % 2.63/2.89 (step @p71 :rule instantiate :premises (@p1) :args ((@list @t33 @t28 @t31))) % 2.63/2.89 (step-pop @p140 :rule scope :premises (@p71)) % 2.63/2.89 (step @p72 :rule process_scope :premises (@p140) :args (@t52)) % 2.63/2.89 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 2.63/2.89 (step @p75 :rule implies_elim :premises (@p74)) % 2.63/2.89 (step @p76 :rule chain_m_resolution :premises (@p75 @p1) :args ((= @t34 @t51) @t40 (@list @t4))) % 2.63/2.89 (step @p77 :rule trans :premises (@p76 @p66)) % 2.63/2.89 (step @p78 :rule cong :premises (@p77) :args (@t35)) % 2.63/2.89 (step @p79 :rule trans :premises (@p78 @p64)) % 2.63/2.89 (step @p80 :rule true_elim :premises (@p79)) % 2.63/2.89 (step @p81 :rule instantiate :premises (@p1) :args ((@list @t27 @t29 tptp.emp))) % 2.63/2.89 (step @p82 :rule symm :premises (@p81)) % 2.63/2.89 (step @p83 :rule cong :premises (@p82) :args (@t32)) % 2.63/2.89 (step @p84 :rule trans :premises (@p83 @p19)) % 2.63/2.89 (step @p85 :rule false_elim :premises (@p84)) % 2.63/2.89 (step @p86 :rule cnf_or_pos :args (@t39)) % 2.63/2.89 (step @p87 :rule reordering :premises (@p86) :args ((or @t38 @t32 @t36 (not @t39)))) % 2.63/2.89 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p80 @p33) :args (@t38 @t50 (@list @t32 @t35 @t39))) % 2.63/2.89 (step @p89 :rule symm :premises (@p88)) % 2.63/2.89 (step @p90 :rule refl :args (tptp.x3)) % 2.63/2.89 (step @p91 :rule cong :premises (@p90 @p89) :args (@t43)) % 2.63/2.89 (step @p92 :rule cong :premises (@p91 @p20) :args ((tptp.sep @t43 @t30))) % 2.63/2.89 (step @p93 :rule instantiate :premises (@p44) :args ((@list tptp.x3 @t30))) % 2.63/2.89 (step @p94 :rule instantiate :premises (@p44) :args ((@list tptp.x3 tptp.emp))) % 2.63/2.89 (step @p95 :rule symm :premises (@p94)) % 2.63/2.89 (step @p96 :rule refl :args (tptp.x2)) % 2.63/2.89 (step @p97 :rule cong :premises (@p96 @p88) :args (@t53)) % 2.63/2.89 (step @p98 :rule cong :premises (@p97 @p95) :args ((tptp.sep @t53 (tptp.sep @t43 tptp.emp)))) % 2.63/2.89 (step @p99 :rule refl :args (@t53)) % 2.63/2.89 (step @p100 :rule cong :premises (@p99 @p94) :args (@t54)) % 2.63/2.89 (step @p101 :rule instantiate :premises (@p44) :args ((@list tptp.x1 tptp.emp))) % 2.63/2.89 (step @p102 :rule symm :premises (@p101)) % 2.63/2.89 (step @p103 :rule cong :premises (@p99 @p102) :args (@t55)) % 2.63/2.89 (step @p104 :rule trans :premises (@p103 @p100 @p98 @p93 @p92)) % 2.63/2.89 (step @p105 :rule cong :premises (@p104) :args ((tptp.heap @t55))) % 2.63/2.89 (step @p106 :rule symm :premises (@p103)) % 2.63/2.89 (step @p107 :rule cong :premises (@p106) :args (@t56)) % 2.63/2.89 (step @p108 :rule instantiate :premises (@p9) :args ((@list tptp.x2 tptp.x1 tptp.emp))) % 2.63/2.89 (step @p109 :rule instantiate :premises (@p8) :args ((@list tptp.x1 tptp.x3 tptp.nil @t41))) % 2.63/2.89 (step @p110 :rule instantiate :premises (@p1) :args ((@list @t28 @t27 @t26))) % 2.63/2.89 (step @p111 :rule symm :premises (@p110)) % 2.63/2.89 (step @p112 :rule instantiate :premises (@p1) :args ((@list @t28 @t25 tptp.emp))) % 2.63/2.89 (step @p113 :rule symm :premises (@p112)) % 2.63/2.89 (step @p114 :rule refl :args (@t27)) % 2.63/2.89 (step @p115 :rule cong :premises (@p114 @p113) :args ((tptp.sep @t27 (tptp.sep @t25 @t41)))) % 2.63/2.89 (step @p116 :rule instantiate :premises (@p1) :args ((@list @t27 @t25 @t41))) % 2.63/2.89 (step @p117 :rule symm :premises (@p116)) % 2.63/2.89 (step @p118 :rule trans :premises (@p117 @p115 @p111)) % 2.63/2.90 (step @p119 :rule cong :premises (@p118) :args (@t57)) % 2.63/2.90 (step @p120 :rule trans :premises (@p119 @p35)) % 2.63/2.90 (step @p121 :rule true_elim :premises (@p120)) % 2.63/2.90 (step @p122 :rule cnf_or_pos :args (@t61)) % 2.63/2.90 (step @p123 :rule reordering :premises (@p122) :args ((or @t24 @t60 @t59 (not @t61)))) % 2.63/2.90 (step @p124 :rule chain_m_resolution :premises (@p123 @p14 @p121 @p109) :args (@t59 @t50 (@list @t24 @t57 @t61))) % 2.63/2.90 (step @p125 :rule true_intro :premises (@p124)) % 2.63/2.90 (step @p126 :rule instantiate :premises (@p1) :args ((@list @t28 @t58 tptp.emp))) % 2.63/2.90 (step @p127 :rule cong :premises (@p126) :args (@t62)) % 2.63/2.90 (step @p128 :rule trans :premises (@p127 @p125)) % 2.63/2.90 (step @p129 :rule true_elim :premises (@p128)) % 2.63/2.90 (step @p130 :rule cnf_or_pos :args (@t64)) % 2.63/2.90 (step @p131 :rule reordering :premises (@p130) :args ((or @t63 @t56 (not @t64)))) % 2.63/2.90 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p108) :args (@t56 (@list false false) (@list @t62 @t64))) % 2.63/2.90 (step @p133 :rule true_intro :premises (@p132)) % 2.63/2.90 (step @p134 :rule symm :premises (@p133)) % 2.63/2.90 (step @p135 :rule trans :premises (@p134 @p107 @p105 @p19)) % 2.63/2.90 (step @p136 false :rule eq_resolve :premises (@p135 @p18)) % 2.63/2.90 ) % 0.35/2.90 % SZS output end Proof % 0.35/2.90 % cvc5 exiting %------------------------------------------------------------------------------