TSTP Solution File: COL034-1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : COL034-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n007.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 : Mon Jun 24 04:51:01 EDT 2024

% Result   : Unsatisfiable 2.00s 0.68s
% Output   : Refutation 2.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :   10 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f544,plain,
    $false,
    inference(equality_resolution,[],[f532]) ).

fof(f532,plain,
    ! [X0] : apply(X0,apply(apply(b,f(apply(apply(b,X0),apply(apply(b,apply(t,X0)),b)))),X0)) != apply(m,apply(apply(b,f(apply(apply(b,X0),apply(apply(b,apply(t,X0)),b)))),X0)),
    inference(superposition,[],[f87,f24]) ).

fof(f24,plain,
    ! [X0,X1] : apply(X0,apply(X1,apply(apply(b,X0),X1))) = apply(m,apply(apply(b,X0),X1)),
    inference(superposition,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X0] : apply(m,X0) = apply(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f87,plain,
    ! [X2,X0,X1] : apply(X2,apply(apply(X1,f(apply(apply(b,X2),apply(apply(b,apply(t,X0)),X1)))),X0)) != apply(f(apply(apply(b,X2),apply(apply(b,apply(t,X0)),X1))),apply(X2,apply(apply(X1,f(apply(apply(b,X2),apply(apply(b,apply(t,X0)),X1)))),X0))),
    inference(superposition,[],[f29,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f29,plain,
    ! [X2,X0,X1] : apply(X2,apply(X0,apply(X1,f(apply(apply(b,X2),apply(apply(b,X0),X1)))))) != apply(f(apply(apply(b,X2),apply(apply(b,X0),X1))),apply(X2,apply(X0,apply(X1,f(apply(apply(b,X2),apply(apply(b,X0),X1))))))),
    inference(superposition,[],[f25,f1]) ).

fof(f25,plain,
    ! [X0,X1] : apply(X0,apply(X1,f(apply(apply(b,X0),X1)))) != apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1))))),
    inference(superposition,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : COL034-1 : TPTP v8.2.0. Released v1.0.0.
% 0.04/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Jun 18 15:55:54 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.19/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.19/0.35  Running first-order theorem proving
% 0.19/0.35  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.38  % (26939)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.38  % (26945)lrs+10_1:1024_sil=64000:i=305:to=lpo:drc=encompass:bd=off_0 on theBenchmark for (2999ds/305Mi)
% 0.19/0.41  % (26939)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (26940)ott+10_1:36_drc=encompass:sil=256000:tgt=full:fde=none:st=5.0:i=276418:ss=axioms:sgt=16:sp=occurrence:plsq=on_0 on theBenchmark for (2999ds/276418Mi)
% 0.19/0.41  % (26939)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (26943)lrs+10_1:1024_drc=encompass:sil=2000:i=149_0 on theBenchmark for (2999ds/149Mi)
% 0.19/0.41  % (26939)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (26944)lrs+10_1:1_sil=2000:sos=on:urr=on:st=5.0:i=149:ep=RSTC:ss=axioms:flr=on:fsr=off:br=off_0 on theBenchmark for (2999ds/149Mi)
% 0.19/0.41  % (26939)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (26946)lrs+10_1:32_slsqr=1,2:drc=encompass:sil=2000:slsqc=1:slsq=on:i=729:slsql=off:fd=preordered:lwlo=on_0 on theBenchmark for (2999ds/729Mi)
% 0.19/0.41  % (26939)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (26942)dis+10_1:64_sil=256000:i=105:bd=off:fd=off_0 on theBenchmark for (2999ds/105Mi)
% 0.19/0.41  % (26939)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (26941)dis+10_1:28_drc=encompass:sil=256000:tgt=ground:i=146946:dpc=on:bs=on_0 on theBenchmark for (2999ds/146946Mi)
% 0.19/0.47  % (26942)Instruction limit reached!
% 0.19/0.47  % (26942)------------------------------
% 0.19/0.47  % (26942)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.47  % (26942)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.47  % (26942)Termination reason: Time limit
% 0.19/0.47  % (26942)Termination phase: Saturation
% 0.19/0.47  
% 0.19/0.47  % (26942)Memory used [KB]: 1568
% 0.19/0.47  % (26942)Time elapsed: 0.058 s
% 0.19/0.47  % (26942)Instructions burned: 105 (million)
% 0.19/0.47  % (26944)Instruction limit reached!
% 0.19/0.47  % (26944)------------------------------
% 0.19/0.47  % (26944)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.47  % (26944)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.47  % (26944)Termination reason: Time limit
% 0.19/0.47  % (26944)Termination phase: Saturation
% 0.19/0.47  
% 0.19/0.47  % (26944)Memory used [KB]: 2030
% 0.19/0.47  % (26944)Time elapsed: 0.062 s
% 0.19/0.47  % (26944)Instructions burned: 151 (million)
% 0.19/0.47  % (26945)Instruction limit reached!
% 0.19/0.47  % (26945)------------------------------
% 0.19/0.47  % (26945)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.47  % (26945)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.47  % (26945)Termination reason: Time limit
% 0.19/0.47  % (26945)Termination phase: Saturation
% 0.19/0.47  
% 0.19/0.47  % (26945)Memory used [KB]: 1596
% 0.19/0.47  % (26945)Time elapsed: 0.087 s
% 0.19/0.47  % (26945)Instructions burned: 305 (million)
% 0.19/0.48  % (26943)Instruction limit reached!
% 0.19/0.48  % (26943)------------------------------
% 0.19/0.48  % (26943)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.48  % (26943)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.48  % (26943)Termination reason: Time limit
% 0.19/0.48  % (26943)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (26943)Memory used [KB]: 1787
% 0.19/0.48  % (26943)Time elapsed: 0.074 s
% 0.19/0.48  % (26943)Instructions burned: 149 (million)
% 0.19/0.50  % (26939)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.50  % (26947)lrs+10_1:7_drc=encompass:sil=64000:i=132:awrs=converge:sp=reverse_frequency:dpc=on:bd=preordered_0 on theBenchmark for (2998ds/132Mi)
% 0.19/0.50  % (26939)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.50  % (26948)lrs+10_1:7_drc=encompass:sil=64000:tgt=full:spb=non_intro:i=134:awrs=converge:awrsf=67:sp=reverse_frequency:nwc=1.5_0 on theBenchmark for (2998ds/134Mi)
% 0.19/0.50  % (26939)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.50  % (26949)lrs+10_16:7_drc=encompass:sil=128000:sp=weighted_frequency:lwlo=on:i=118:bs=on:to=lpo:tgt=full:bd=off_0 on theBenchmark for (2998ds/118Mi)
% 0.19/0.52  % (26939)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.52  % (26950)dis+10_1:1_sil=256000:nwc=10.0:s2agt=32:s2a=on:i=156:fde=none:fd=off_0 on theBenchmark for (2998ds/156Mi)
% 0.19/0.54  % (26949)Instruction limit reached!
% 0.19/0.54  % (26949)------------------------------
% 0.19/0.54  % (26949)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.54  % (26949)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.54  % (26949)Termination reason: Time limit
% 0.19/0.54  % (26949)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (26949)Memory used [KB]: 1634
% 0.19/0.54  % (26949)Time elapsed: 0.038 s
% 0.19/0.54  % (26949)Instructions burned: 120 (million)
% 0.19/0.55  % (26947)Instruction limit reached!
% 0.19/0.55  % (26947)------------------------------
% 0.19/0.55  % (26947)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.55  % (26947)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.55  % (26947)Termination reason: Time limit
% 0.19/0.55  % (26947)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (26947)Memory used [KB]: 2582
% 0.19/0.55  % (26947)Time elapsed: 0.047 s
% 0.19/0.55  % (26947)Instructions burned: 133 (million)
% 0.19/0.55  % (26948)Instruction limit reached!
% 0.19/0.55  % (26948)------------------------------
% 0.19/0.55  % (26948)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.55  % (26948)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.55  % (26948)Termination reason: Time limit
% 0.19/0.55  % (26948)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (26948)Memory used [KB]: 2441
% 0.19/0.55  % (26948)Time elapsed: 0.048 s
% 0.19/0.55  % (26948)Instructions burned: 135 (million)
% 1.55/0.57  % (26950)Instruction limit reached!
% 1.55/0.57  % (26950)------------------------------
% 1.55/0.57  % (26950)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.55/0.57  % (26950)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.55/0.57  % (26950)Termination reason: Time limit
% 1.55/0.57  % (26950)Termination phase: Saturation
% 1.55/0.57  
% 1.55/0.57  % (26950)Memory used [KB]: 3488
% 1.55/0.57  % (26950)Time elapsed: 0.053 s
% 1.55/0.57  % (26950)Instructions burned: 157 (million)
% 1.55/0.57  % (26939)Running in auto input_syntax mode. Trying TPTP
% 1.55/0.57  % (26951)lrs+10_1:1024_sil=2000:slsqc=1:slsq=on:i=167:rawr=on:bd=off_0 on theBenchmark for (2998ds/167Mi)
% 1.66/0.58  % (26939)Running in auto input_syntax mode. Trying TPTP
% 1.66/0.58  % (26952)lrs+10_1:64_sil=32000:tgt=ground:spb=goal_then_units:urr=on:i=687:awrs=converge:awrsf=130:rawr=on:plsq=on:sp=const_frequency:bd=off:drc=encompass:irc=lazy:kws=precedence_0 on theBenchmark for (2998ds/687Mi)
% 1.66/0.59  % (26939)Running in auto input_syntax mode. Trying TPTP
% 1.66/0.59  % (26953)dis+10_5:1_to=lpo:sil=256000:tgt=ground:spb=intro:i=187:bd=off:irc=lazy:rawr=on:fd=preordered:drc=encompass_0 on theBenchmark for (2998ds/187Mi)
% 1.66/0.60  % (26939)Running in auto input_syntax mode. Trying TPTP
% 1.66/0.60  % (26954)lrs+10_2:1_to=lpo:drc=encompass:sil=8000:tgt=full:sp=const_frequency:i=189:lwlo=on:nwc=10.0:rawr=on_0 on theBenchmark for (2997ds/189Mi)
% 1.91/0.63  % (26951)Instruction limit reached!
% 1.91/0.63  % (26951)------------------------------
% 1.91/0.63  % (26951)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.91/0.63  % (26951)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.91/0.63  % (26951)Termination reason: Time limit
% 1.91/0.63  % (26951)Termination phase: Saturation
% 1.91/0.63  
% 1.91/0.63  % (26951)Memory used [KB]: 3100
% 1.91/0.63  % (26951)Time elapsed: 0.057 s
% 1.91/0.63  % (26951)Instructions burned: 167 (million)
% 2.00/0.65  % (26953)Instruction limit reached!
% 2.00/0.65  % (26953)------------------------------
% 2.00/0.65  % (26953)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.00/0.65  % (26953)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.00/0.65  % (26953)Termination reason: Time limit
% 2.00/0.65  % (26953)Termination phase: Saturation
% 2.00/0.65  
% 2.00/0.65  % (26953)Memory used [KB]: 2177
% 2.00/0.65  % (26953)Time elapsed: 0.079 s
% 2.00/0.65  % (26953)Instructions burned: 189 (million)
% 2.00/0.66  % (26946)Instruction limit reached!
% 2.00/0.66  % (26946)------------------------------
% 2.00/0.66  % (26946)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.00/0.66  % (26946)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.00/0.66  % (26946)Termination reason: Time limit
% 2.00/0.66  % (26946)Termination phase: Saturation
% 2.00/0.66  
% 2.00/0.66  % (26946)Memory used [KB]: 4369
% 2.00/0.66  % (26946)Time elapsed: 0.253 s
% 2.00/0.66  % (26946)Instructions burned: 729 (million)
% 2.00/0.66  % (26939)Running in auto input_syntax mode. Trying TPTP
% 2.00/0.66  % (26955)dis+10_1:50_sil=256000:nwc=4.1:i=315:bd=off:irc=eager:fd=off_0 on theBenchmark for (2997ds/315Mi)
% 2.00/0.66  % (26954)Instruction limit reached!
% 2.00/0.66  % (26954)------------------------------
% 2.00/0.66  % (26954)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.00/0.66  % (26954)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.00/0.66  % (26954)Termination reason: Time limit
% 2.00/0.66  % (26954)Termination phase: Saturation
% 2.00/0.66  
% 2.00/0.66  % (26954)Memory used [KB]: 1983
% 2.00/0.66  % (26954)Time elapsed: 0.064 s
% 2.00/0.66  % (26954)Instructions burned: 192 (million)
% 2.00/0.68  % (26955)First to succeed.
% 2.00/0.68  % (26955)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26939"
% 2.00/0.68  % (26939)Running in auto input_syntax mode. Trying TPTP
% 2.00/0.68  % (26955)Refutation found. Thanks to Tanya!
% 2.00/0.68  % SZS status Unsatisfiable for theBenchmark
% 2.00/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 2.00/0.68  % (26955)------------------------------
% 2.00/0.68  % (26955)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.00/0.68  % (26955)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.00/0.68  % (26955)Termination reason: Refutation
% 2.00/0.68  
% 2.00/0.68  % (26955)Memory used [KB]: 1931
% 2.00/0.68  % (26955)Time elapsed: 0.020 s
% 2.00/0.68  % (26955)Instructions burned: 63 (million)
% 2.00/0.68  % (26955)------------------------------
% 2.00/0.68  % (26955)------------------------------
% 2.00/0.68  % (26939)Success in time 0.317 s
%------------------------------------------------------------------------------