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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV925-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:26:40 PM UTC 2026

% Result   : Unsatisfiable 0.20s 0.31s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f698,axiom,
    ! [X0,X1] :
      ( c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1)) != c_HOL_Ozero__class_Ozero(tc_nat)
      | X0 = c_List_Olist_ONil(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__0__conv_0) ).

fof(f699,plain,
    ! [X0,X1] :
      ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Nat_Osize__class_Osize(X0,tc_List_Olist(X1))
      | c_List_Olist_ONil(X1) = X0 ),
    inference(reorient_equations,[],[f698]) ).

fof(f700,axiom,
    ! [X0] : c_Nat_Osize__class_Osize(c_List_Olist_ONil(X0),tc_List_Olist(X0)) = c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__0__conv_1) ).

fof(f701,plain,
    ! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(X0),tc_List_Olist(X0)),
    inference(reorient_equations,[],[f700]) ).

fof(f723,axiom,
    ! [X2,X0,X1] : c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osimps_I3_J_0) ).

fof(f724,plain,
    ! [X2,X0,X1] : c_List_Olist_ONil(X2) != c_List_Olist_OCons(X0,X1,X2),
    inference(reorient_equations,[],[f723]) ).

fof(f729,negated_conjecture,
    c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)) = c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f730,plain,
    c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty)) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)),
    inference(reorient_equations,[],[f729]) ).

fof(f1314,plain,
    ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty))
    | c_List_Olist_ONil(tc_Value_Oval) = c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval) ),
    inference(superposition,[],[f699,f730]) ).

fof(f1317,plain,
    c_List_Olist_ONil(tc_Value_Oval) = c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),
    inference(forward_subsumption_resolution,[],[f1314,f701]) ).

fof(f1318,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1317,f724]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV925-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20  % Computer : n017.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 12:50:06 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23  Running first-order model finding
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.31  % (3520936)Will run a generic schedule for satisfiability detection.
% 0.20/0.31  % (3520946)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=264767369:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.31  % (3520942)% WARNING: option uhcvi not known.
% 0.20/0.31  % (3520941)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1589347950_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.31  % (3520942)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1955373785:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.31  % (3520943)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2589733447:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.31  % (3520944)dis+10_1_sil=32000:sp=arity:random_seed=2810910764:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.31  % (3520945)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1321197782:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.31  % (3520947)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=368215136:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.31  % (3520946) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3520936-3520946"...
% 0.20/0.31  % (3520946)...printing done.
% 0.20/0.31  % (3520946)Refutation found. Thanks to Tanya!
% 0.20/0.31  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.31  % (3520946)------------------------------
% 0.20/0.31  % (3520946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (3520946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (3520946)CaDiCaL version: 2.1.3
% 0.20/0.31  % (3520946)Termination reason: Refutation
% 0.20/0.31  % (3520946)Time elapsed: 0.020 s
% 0.20/0.31  % (3520946)Peak memory usage: 13 MB
% 0.20/0.31  % (3520946)Instructions burned: 56 (million)
% 0.20/0.31  % (3520936)Success in time 0.067 s
% 0.20/0.31  % Vampire exiting
%------------------------------------------------------------------------------