TSTP Solution File: SYN083+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n029.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 : Fri Sep  1 03:37:35 EDT 2023

% Result   : Theorem 0.23s 0.44s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (  11 unt;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   22 (;  14   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16,plain,
    $false,
    inference(trivial_inequality_removal,[],[f15]) ).

fof(f15,plain,
    f(sK0,f(sK1,f(sK2,sK3))) != f(sK0,f(sK1,f(sK2,sK3))),
    inference(forward_demodulation,[],[f14,f8]) ).

fof(f8,plain,
    ! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1,X2] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.1XK6rRE98C/Vampire---4.8_17253',p61_1) ).

fof(f14,plain,
    f(sK0,f(sK1,f(sK2,sK3))) != f(sK0,f(f(sK1,sK2),sK3)),
    inference(forward_demodulation,[],[f12,f8]) ).

fof(f12,plain,
    f(sK0,f(sK1,f(sK2,sK3))) != f(f(sK0,f(sK1,sK2)),sK3),
    inference(superposition,[],[f7,f8]) ).

fof(f7,plain,
    f(sK0,f(sK1,f(sK2,sK3))) != f(f(f(sK0,sK1),sK2),sK3),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    f(sK0,f(sK1,f(sK2,sK3))) != f(f(f(sK0,sK1),sK2),sK3),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f4,f5]) ).

fof(f5,plain,
    ( ? [X0,X1,X2,X3] : f(X0,f(X1,f(X2,X3))) != f(f(f(X0,X1),X2),X3)
   => f(sK0,f(sK1,f(sK2,sK3))) != f(f(f(sK0,sK1),sK2),sK3) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ? [X0,X1,X2,X3] : f(X0,f(X1,f(X2,X3))) != f(f(f(X0,X1),X2),X3),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,negated_conjecture,
    ~ ! [X0,X1,X2,X3] : f(X0,f(X1,f(X2,X3))) = f(f(f(X0,X1),X2),X3),
    inference(negated_conjecture,[],[f2]) ).

fof(f2,conjecture,
    ! [X0,X1,X2,X3] : f(X0,f(X1,f(X2,X3))) = f(f(f(X0,X1),X2),X3),
    file('/export/starexec/sandbox2/tmp/tmp.1XK6rRE98C/Vampire---4.8_17253',pel61) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37  % Computer : n029.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sat Aug 26 22:06:55 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_PEQ problem
% 0.15/0.38  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.1XK6rRE98C/Vampire---4.8_17253
% 0.15/0.38  % (17538)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.44  % (17541)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.15/0.44  % (17543)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.15/0.44  % (17545)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.15/0.44  % (17547)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.15/0.44  % (17546)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.15/0.44  % (17542)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.15/0.44  % (17545)Refutation not found, incomplete strategy% (17545)------------------------------
% 0.15/0.44  % (17545)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.15/0.44  % (17545)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.15/0.44  % (17545)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.44  
% 0.15/0.44  % (17545)Memory used [KB]: 895
% 0.15/0.44  % (17545)Time elapsed: 0.003 s
% 0.15/0.44  % (17545)------------------------------
% 0.15/0.44  % (17545)------------------------------
% 0.15/0.44  % (17546)First to succeed.
% 0.15/0.44  % (17544)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.15/0.44  % (17543)Also succeeded, but the first one will report.
% 0.23/0.44  % (17546)Refutation found. Thanks to Tanya!
% 0.23/0.44  % SZS status Theorem for Vampire---4
% 0.23/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.44  % (17546)------------------------------
% 0.23/0.44  % (17546)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44  % (17546)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44  % (17546)Termination reason: Refutation
% 0.23/0.44  
% 0.23/0.44  % (17546)Memory used [KB]: 895
% 0.23/0.44  % (17546)Time elapsed: 0.004 s
% 0.23/0.44  % (17546)------------------------------
% 0.23/0.44  % (17546)------------------------------
% 0.23/0.44  % (17538)Success in time 0.064 s
% 0.23/0.50  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.23/0.50  17538 Aborted by signal SIGABRT on /export/starexec/sandbox2/tmp/tmp.1XK6rRE98C/Vampire---4.8_17253
% 0.23/0.50  % (17538)------------------------------
% 0.23/0.50  % (17538)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.50  % (17538)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.50  % (17538)Termination reason: Unknown
% 0.23/0.50  % (17538)Termination phase: Unknown
% 0.23/0.50  
% 0.23/0.50  % (17538)Memory used [KB]: 511
% 0.23/0.50  % (17538)Time elapsed: 0.118 s
% 0.23/0.50  % (17538)------------------------------
% 0.23/0.50  % (17538)------------------------------
% 0.23/0.50  % Vampire---4.8 exiting
%------------------------------------------------------------------------------