%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW412-1 : 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 : n023.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 0.43s 0.67s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW412-1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n023.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 21:58:13 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.67 % SZS status Unsatisfiable % 0.43/0.67 % SZS output start Proof % 0.43/0.67 ( % 0.43/0.67 (declare-sort $$unsorted 0) % 0.43/0.67 (declare-const tptp.emp $$unsorted) % 0.43/0.67 (declare-const tptp.x3 $$unsorted) % 0.43/0.67 (declare-const tptp.x2 $$unsorted) % 0.43/0.67 (declare-const tptp.heap (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.next (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.67 (declare-const tptp.x4 $$unsorted) % 0.43/0.67 (declare-const tptp.x1 $$unsorted) % 0.43/0.67 (declare-const tptp.lseg (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.67 (declare-const tptp.nil $$unsorted) % 0.43/0.67 (declare-const tptp.sep (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.67 (define @t1 () (@var "Sigma" $$unsorted)) % 0.43/0.67 (define @t2 () (@var "S" $$unsorted)) % 0.43/0.67 (define @t3 () (@var "T" $$unsorted)) % 0.43/0.67 (define @t4 () (forall (@list @t2 @t3 @t1) (= (tptp.sep @t2 (tptp.sep @t3 @t1)) (tptp.sep @t3 (tptp.sep @t2 @t1))))) % 0.43/0.67 (define @t5 () (@var "X" $$unsorted)) % 0.43/0.67 (define @t6 () (@var "Y" $$unsorted)) % 0.43/0.67 (define @t7 () (@list @t6 @t1)) % 0.43/0.67 (define @t8 () (@var "Z" $$unsorted)) % 0.43/0.67 (define @t9 () (tptp.next @t5 @t6)) % 0.43/0.67 (define @t10 () (@list @t5 @t6 @t8 @t1)) % 0.43/0.67 (define @t11 () (= @t5 @t8)) % 0.43/0.67 (define @t12 () (tptp.lseg @t5 @t8)) % 0.43/0.67 (define @t13 () (tptp.sep @t12 @t1)) % 0.43/0.67 (define @t14 () (= @t5 @t6)) % 0.43/0.67 (define @t15 () (tptp.lseg @t5 @t6)) % 0.43/0.67 (define @t16 () (tptp.lseg @t6 @t8)) % 0.43/0.67 (define @t17 () (@var "W" $$unsorted)) % 0.43/0.67 (define @t18 () (tptp.sep (tptp.next @t8 @t17) @t1)) % 0.43/0.67 (define @t19 () (@list @t5 @t6 @t8 @t17 @t1)) % 0.43/0.67 (define @t20 () (tptp.sep (tptp.lseg @t8 @t17) @t1)) % 0.43/0.67 (define @t21 () (= tptp.x1 tptp.x4)) % 0.43/0.67 (define @t22 () (tptp.next tptp.x2 tptp.x3)) % 0.43/0.67 (define @t23 () (tptp.next tptp.x1 tptp.x4)) % 0.43/0.67 (define @t24 () (tptp.lseg tptp.x4 tptp.nil)) % 0.43/0.67 (define @t25 () (tptp.lseg tptp.x3 tptp.nil)) % 0.43/0.67 (define @t26 () (tptp.lseg tptp.x1 tptp.nil)) % 0.43/0.67 (define @t27 () (tptp.lseg tptp.x2 tptp.nil)) % 0.43/0.67 (define @t28 () (tptp.sep @t27 tptp.emp)) % 0.43/0.67 (define @t29 () (tptp.heap (tptp.sep @t26 @t28))) % 0.43/0.67 (define @t30 () (tptp.sep @t24 @t28)) % 0.43/0.67 (define @t31 () (not (tptp.heap (tptp.sep @t23 @t30)))) % 0.43/0.67 (define @t32 () (or @t31 @t21 @t29)) % 0.43/0.67 (define @t33 () (tptp.sep @t24 tptp.emp)) % 0.43/0.67 (define @t34 () (tptp.sep @t27 @t33)) % 0.43/0.67 (define @t35 () (= @t30 @t34)) % 0.43/0.67 (define @t36 () (@list false)) % 0.43/0.67 (define @t37 () (@list @t4)) % 0.43/0.67 (define @t38 () (tptp.sep @t23 @t33)) % 0.43/0.67 (define @t39 () (tptp.sep @t23 tptp.emp)) % 0.43/0.67 (define @t40 () (tptp.sep @t24 @t39)) % 0.43/0.67 (define @t41 () (= @t38 @t40)) % 0.43/0.67 (define @t42 () (tptp.sep @t27 @t40)) % 0.43/0.67 (define @t43 () (tptp.heap @t42)) % 0.43/0.67 (define @t44 () (tptp.heap (tptp.sep @t22 (tptp.sep @t25 @t40)))) % 0.43/0.67 (define @t45 () (= tptp.x2 tptp.x3)) % 0.43/0.67 (define @t46 () (not @t44)) % 0.43/0.67 (define @t47 () (or @t46 @t45 @t43)) % 0.43/0.67 (assume @p1 @t4) % 0.43/0.67 (assume @p2 (forall (@list @t5 @t1) (= (tptp.sep (tptp.lseg @t5 @t5) @t1) @t1))) % 0.43/0.67 (assume @p3 (forall @t7 (not (tptp.heap (tptp.sep (tptp.next tptp.nil @t6) @t1))))) % 0.43/0.67 (assume @p4 (forall @t7 (or (not (tptp.heap (tptp.sep (tptp.lseg tptp.nil @t6) @t1))) (= @t6 tptp.nil)))) % 0.43/0.67 (assume @p5 (forall @t10 (not (tptp.heap (tptp.sep @t9 (tptp.sep (tptp.next @t5 @t8) @t1)))))) % 0.43/0.67 (assume @p6 (forall @t10 (or (not (tptp.heap (tptp.sep @t9 @t13))) @t11))) % 0.43/0.67 (assume @p7 (forall @t10 (or (not (tptp.heap (tptp.sep @t15 @t13))) @t14 @t11))) % 0.43/0.67 (assume @p8 (forall @t10 (or (not (tptp.heap (tptp.sep @t9 (tptp.sep @t16 @t1)))) @t14 (tptp.heap @t13)))) % 0.43/0.67 (assume @p9 (forall (@list @t5 @t6 @t1) (or (not (tptp.heap (tptp.sep @t15 (tptp.sep (tptp.lseg @t6 tptp.nil) @t1)))) (tptp.heap (tptp.sep (tptp.lseg @t5 tptp.nil) @t1))))) % 0.43/0.67 (assume @p10 (forall @t19 (or (not (tptp.heap (tptp.sep @t15 (tptp.sep @t16 @t18)))) (tptp.heap (tptp.sep @t12 @t18))))) % 0.43/0.67 (assume @p11 (forall @t19 (or (not (tptp.heap (tptp.sep @t15 (tptp.sep @t16 @t20)))) (= @t8 @t17) (tptp.heap (tptp.sep @t12 @t20))))) % 0.43/0.67 (assume @p12 (not (= tptp.nil tptp.x1))) % 0.43/0.67 (assume @p13 (not (= tptp.nil tptp.x2))) % 0.43/0.67 (assume @p14 (not (= tptp.x3 tptp.x1))) % 0.43/0.67 (assume @p15 (not (= tptp.x3 tptp.x2))) % 0.43/0.67 (assume @p16 (not (= tptp.x1 tptp.x2))) % 0.43/0.67 (assume @p17 (not @t21)) % 0.43/0.67 (assume @p18 (not (= tptp.x2 tptp.x4))) % 0.43/0.67 (assume @p19 (tptp.heap (tptp.sep @t25 (tptp.sep @t24 (tptp.sep @t23 (tptp.sep @t22 tptp.emp)))))) % 0.43/0.67 (assume @p20 (not (tptp.heap (tptp.sep @t27 (tptp.sep @t26 tptp.emp))))) % 0.43/0.67 (step @p21 :rule evaluate :args ((= true false))) % 0.43/0.67 (step @p22 :rule instantiate :premises (@p8) :args ((@list tptp.x1 tptp.x4 tptp.nil @t28))) % 0.43/0.67 (step @p23 :rule false_intro :premises (@p20)) % 0.43/0.67 (step @p24 :rule instantiate :premises (@p1) :args ((@list @t26 @t27 tptp.emp))) % 0.43/0.67 (step @p25 :rule cong :premises (@p24) :args (@t29)) % 0.43/0.67 (step @p26 :rule trans :premises (@p25 @p23)) % 0.43/0.67 (step @p27 :rule false_elim :premises (@p26)) % 0.43/0.67 (step @p28 :rule cnf_or_pos :args (@t32)) % 0.43/0.67 (step @p29 :rule reordering :premises (@p28) :args ((or @t21 @t29 @t31 (not @t32)))) % 0.43/0.67 (step @p30 :rule chain_m_resolution :premises (@p29 @p17 @p27 @p22) :args (@t31 (@list true true false) (@list @t21 @t29 @t32))) % 0.43/0.67 (step @p31 :rule false_intro :premises (@p30)) % 0.43/0.67 (step @p32 :rule eq-symm :args (@t30 @t34)) % 0.43/0.67 (step @p33 :rule refl :args (@t4)) % 0.43/0.67 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t4 @t35))) % 0.43/0.67 (assume-push @p81 @t4) % 0.43/0.67 (step @p36 :rule instantiate :premises (@p1) :args ((@list @t24 @t27 tptp.emp))) % 0.43/0.67 (step-pop @p82 :rule scope :premises (@p36)) % 0.43/0.67 (step @p37 :rule process_scope :premises (@p82) :args (@t35)) % 0.43/0.67 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.43/0.67 (step @p40 :rule implies_elim :premises (@p39)) % 0.43/0.67 (step @p41 :rule chain_m_resolution :premises (@p40 @p1) :args ((= @t34 @t30) @t36 @t37)) % 0.43/0.67 (step @p42 :rule refl :args (@t23)) % 0.43/0.67 (step @p43 :rule cong :premises (@p42 @p41) :args ((tptp.sep @t23 @t34))) % 0.43/0.67 (step @p44 :rule instantiate :premises (@p1) :args ((@list @t23 @t27 @t33))) % 0.43/0.67 (step @p45 :rule symm :premises (@p44)) % 0.43/0.67 (step @p46 :rule eq-symm :args (@t38 @t40)) % 0.43/0.67 (step @p47 :rule cong :premises (@p33 @p46) :args ((=> @t4 @t41))) % 0.43/0.67 (assume-push @p83 @t4) % 0.43/0.67 (step @p49 :rule instantiate :premises (@p1) :args ((@list @t23 @t24 tptp.emp))) % 0.43/0.67 (step-pop @p84 :rule scope :premises (@p49)) % 0.43/0.67 (step @p50 :rule process_scope :premises (@p84) :args (@t41)) % 0.43/0.67 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 0.43/0.67 (step @p53 :rule implies_elim :premises (@p52)) % 0.43/0.67 (step @p54 :rule chain_m_resolution :premises (@p53 @p1) :args ((= @t40 @t38) @t36 @t37)) % 0.43/0.67 (step @p55 :rule refl :args (@t27)) % 0.43/0.67 (step @p56 :rule cong :premises (@p55 @p54) :args (@t42)) % 0.43/0.67 (step @p57 :rule trans :premises (@p56 @p45 @p43)) % 0.43/0.67 (step @p58 :rule cong :premises (@p57) :args (@t43)) % 0.43/0.67 (step @p59 :rule instantiate :premises (@p8) :args ((@list tptp.x2 tptp.x3 tptp.nil @t40))) % 0.43/0.67 (step @p60 :rule true_intro :premises (@p19)) % 0.43/0.67 (step @p61 :rule instantiate :premises (@p1) :args ((@list @t22 @t23 tptp.emp))) % 0.43/0.67 (step @p62 :rule refl :args (@t24)) % 0.43/0.67 (step @p63 :rule cong :premises (@p62 @p61) :args ((tptp.sep @t24 (tptp.sep @t22 @t39)))) % 0.43/0.67 (step @p64 :rule instantiate :premises (@p1) :args ((@list @t22 @t24 @t39))) % 0.43/0.67 (step @p65 :rule trans :premises (@p64 @p63)) % 0.43/0.67 (step @p66 :rule refl :args (@t25)) % 0.43/0.67 (step @p67 :rule cong :premises (@p66 @p65) :args ((tptp.sep @t25 (tptp.sep @t22 @t40)))) % 0.43/0.67 (step @p68 :rule instantiate :premises (@p1) :args ((@list @t22 @t25 @t40))) % 0.43/0.67 (step @p69 :rule trans :premises (@p68 @p67)) % 0.43/0.67 (step @p70 :rule cong :premises (@p69) :args (@t44)) % 0.43/0.67 (step @p71 :rule trans :premises (@p70 @p60)) % 0.43/0.67 (step @p72 :rule true_elim :premises (@p71)) % 0.43/0.67 (step @p73 :rule symm :premises (@p15)) % 0.43/0.67 (step @p74 :rule cnf_or_pos :args (@t47)) % 0.43/0.67 (step @p75 :rule reordering :premises (@p74) :args ((or @t45 @t46 @t43 (not @t47)))) % 0.43/0.67 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p72 @p59) :args (@t43 (@list true false false) (@list @t45 @t44 @t47))) % 0.43/0.67 (step @p77 :rule true_intro :premises (@p76)) % 0.43/0.67 (step @p78 :rule symm :premises (@p77)) % 0.43/0.67 (step @p79 :rule trans :premises (@p78 @p58 @p31)) % 0.43/0.67 (step @p80 false :rule eq_resolve :premises (@p79 @p21)) % 0.43/0.67 ) % 0.43/0.68 % SZS output end Proof % 0.43/0.68 % cvc5 exiting %------------------------------------------------------------------------------