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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV949-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 01:19:50 PM UTC 2026

% Result   : Unsatisfiable 0.20s 1.20s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   13 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-5 aty)
%            Number of functors    :   16 (  16 usr;  10 con; 0-4 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f369,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAcc(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
      | ~ c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtFAccNT_0) ).

fof(f379,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wte_H_0) ).

fof(f402,axiom,
    ! [X2,X0,X1] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,X1),X2),X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__refl_0) ).

fof(f429,axiom,
    v_U____ = c_Type_Oty_ONT,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

fof(f430,plain,
    c_Type_Oty_ONT = v_U____,
    inference(reorient_equations,[],[f429]) ).

fof(f431,negated_conjecture,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0),v_T____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,tc_List_Olist(tc_String_Ochar)),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f442,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAcc(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
      | ~ c_WellTypeRT_OWTrt(X0,X1,X2,X3,v_U____) ),
    inference(definition_unfolding,[],[f369,f430]) ).

fof(f752,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,tc_List_Olist(tc_String_Ochar)),v_T____),
    inference(resolution,[],[f402,f431]) ).

fof(f2068,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
    inference(resolution,[],[f442,f752]) ).

fof(f2069,plain,
    $false,
    inference(resolution,[],[f2068,f379]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV949-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n013.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 13:00:44 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24  Running first-order theorem proving
% 0.09/0.24  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/1.20  % (1157863)Input is clausal, will run a generic CNF schedule.
% 0.20/1.20  % (1157874)dis-21_1_sil=8000:lcm=predicate:random_seed=434439650:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.20/1.20  % (1157874)First to succeed.
% 0.20/1.20  % (1157874)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1157863"
% 0.20/1.20  % (1157871)lrs+10_1_sil=8000:sp=occurrence:random_seed=3098280550:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.20  % (1157872)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2621321564:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.20  % (1157869)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3618033927:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.20  % (1157873)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=369318163:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.20  % (1157870)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2369041764:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.20  % (1157868)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2127723812:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.20  % (1157871)Also succeeded, but the first one will report.
% 0.20/1.20  % (1157873)Also succeeded, but the first one will report.
% 0.20/1.20  % (1157872)Also succeeded, but the first one will report.
% 0.20/1.20  % (1157874)Refutation found. Thanks to Tanya!
% 0.20/1.20  % SZS status Unsatisfiable for theBenchmark
% 0.20/1.20  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.20  % (1157874)------------------------------
% 0.20/1.20  % (1157874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20  % (1157874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20  % (1157874)CaDiCaL version: 2.1.3
% 0.20/1.20  % (1157874)Termination reason: Refutation
% 0.20/1.20  % (1157874)Time elapsed: 0.015 s
% 0.20/1.20  % (1157874)Peak memory usage: 89 MB
% 0.20/1.20  % (1157874)Instructions burned: 51 (million)
% 0.20/1.20  % (1157874)------------------------------
% 0.20/1.20  % (1157874)------------------------------
% 0.20/1.20  % (1157863)Success in time 0.319 s
% 0.20/1.20  % Vampire exiting
%------------------------------------------------------------------------------