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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV951-1 : 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 : 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 01:19:51 PM UTC 2026

% Result   : Unsatisfiable 2.61s 1.10s
% Output   : Refutation 2.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   8   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-5 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-4 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f96,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( c_Progress_OWTrt_H(X0,X1,X2,c_Expr_Oexp_OFAcc(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
      | ~ c_Progress_OWTrt_H(X0,X1,X2,X3,c_Type_Oty_ONT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I9_J_0) ).

fof(f387,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ c_WellTypeRT_OWTrt(X0,X1,X2,X3,X4)
      | c_Progress_OWTrt_H(X0,X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt__wt_H_0) ).

fof(f388,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( c_WellTypeRT_OWTrt(X0,X1,X2,X3,X4)
      | ~ c_Progress_OWTrt_H(X0,X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt_H__wt_0) ).

fof(f400,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(f426,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f427,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(f431,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,[],[f400,f427]) ).

fof(f444,plain,
    c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
    inference(resolution,[],[f387,f426]) ).

fof(f446,plain,
    ~ c_Progress_OWTrt_H(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,[],[f388,f431]) ).

fof(f473,plain,
    ~ c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
    inference(resolution,[],[f96,f446]) ).

fof(f474,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f473,f444]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV951-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21  % Computer : n017.cluster.edu
% 0.08/0.21  % Model    : x86_64 x86_64
% 0.08/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21  % Memory   : 8046.5625MB
% 0.08/0.21  % OS       : Linux 6.8.0-71-generic
% 0.08/0.21  % CPULimit : 300
% 0.08/0.21  % WCLimit  : 300
% 0.08/0.21  % DateTime : Mon Sep 28 12:55:25 UTC 2026
% 0.08/0.21  % CPUTime  : 
% 0.08/0.21  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24  Running first-order theorem proving
% 0.08/0.24  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
% 2.61/1.10  % (3524279)Input is clausal, will run a generic CNF schedule.
% 2.61/1.10  % (3524288)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=248370103:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.61/1.10  % (3524288)First to succeed.
% 2.61/1.10  % (3524288)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3524279"
% 2.61/1.10  % (3524289)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2445795823:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.61/1.10  % (3524285)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1740822161:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.61/1.10  % (3524287)lrs+10_1_sil=8000:sp=occurrence:random_seed=2586222442:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.61/1.10  % (3524284)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=2910626181:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.61/1.10  % (3524286)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=238521046:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.61/1.10  % (3524290)dis-21_1_sil=8000:lcm=predicate:random_seed=2325276671: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)
% 2.61/1.10  % (3524287)Also succeeded, but the first one will report.
% 2.61/1.10  % (3524289)Also succeeded, but the first one will report.
% 2.61/1.10  % (3524290)Also succeeded, but the first one will report.
% 2.61/1.10  % (3524288)Refutation found. Thanks to Tanya!
% 2.61/1.10  % SZS status Unsatisfiable for theBenchmark
% 2.61/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 2.61/1.10  % (3524288)------------------------------
% 2.61/1.10  % (3524288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.10  % (3524288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.10  % (3524288)CaDiCaL version: 2.1.3
% 2.61/1.10  % (3524288)Termination reason: Refutation
% 2.61/1.10  % (3524288)Time elapsed: 0.005 s
% 2.61/1.10  % (3524288)Peak memory usage: 88 MB
% 2.61/1.10  % (3524288)Instructions burned: 14 (million)
% 2.61/1.10  % (3524288)------------------------------
% 2.61/1.10  % (3524288)------------------------------
% 2.61/1.10  % (3524279)Success in time 0.301 s
% 2.61/1.10  % Vampire exiting
%------------------------------------------------------------------------------