TSTP Solution File: PLA017-10 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : PLA017-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n016.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 13:38:58 EDT 2024

% Result   : Unsatisfiable 9.25s 1.78s
% Output   : Refutation 9.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   29 (  29 unt;   0 def)
%            Number of atoms       :   29 (  28 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-4 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15602,plain,
    $false,
    inference(trivial_inequality_removal,[],[f15592]) ).

fof(f15592,plain,
    true != true,
    inference(superposition,[],[f32,f15573]) ).

fof(f15573,plain,
    true = holds(on(a,c),do(putdown(a,c),do(pickup(a),s0))),
    inference(superposition,[],[f5715,f1]) ).

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

fof(f5715,plain,
    true = ifeq(true,true,holds(on(a,c),do(putdown(a,c),do(pickup(a),s0))),true),
    inference(forward_demodulation,[],[f5709,f1]) ).

fof(f5709,plain,
    true = ifeq(true,true,ifeq(true,true,holds(on(a,c),do(putdown(a,c),do(pickup(a),s0))),true),true),
    inference(superposition,[],[f383,f1187]) ).

fof(f1187,plain,
    true = holds(clear(c),do(pickup(a),s0)),
    inference(superposition,[],[f379,f1]) ).

fof(f379,plain,
    true = ifeq(true,true,holds(clear(c),do(pickup(a),s0)),true),
    inference(superposition,[],[f78,f164]) ).

fof(f164,plain,
    true = differ(c,a),
    inference(superposition,[],[f35,f1]) ).

fof(f35,plain,
    true = ifeq(true,true,differ(c,a),true),
    inference(superposition,[],[f12,f14]) ).

fof(f14,axiom,
    true = differ(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f12,axiom,
    ! [X3,X5] : true = ifeq(differ(X3,X5),true,differ(X5,X3),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f78,plain,
    ! [X0] : true = ifeq(differ(c,X0),true,holds(clear(c),do(pickup(X0),s0)),true),
    inference(forward_demodulation,[],[f73,f1]) ).

fof(f73,plain,
    ! [X0] : true = ifeq(differ(c,X0),true,ifeq(true,true,holds(clear(c),do(pickup(X0),s0)),true),true),
    inference(superposition,[],[f6,f29]) ).

fof(f29,axiom,
    true = holds(clear(c),s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6,axiom,
    ! [X6,X4,X5] : true = ifeq(differ(X5,X6),true,ifeq(holds(clear(X5),X4),true,holds(clear(X5),do(pickup(X6),X4)),true),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f383,plain,
    ! [X0] : true = ifeq(true,true,ifeq(holds(clear(X0),do(pickup(a),s0)),true,holds(on(a,X0),do(putdown(a,X0),do(pickup(a),s0))),true),true),
    inference(superposition,[],[f8,f275]) ).

fof(f275,plain,
    true = holds(holding(a),do(pickup(a),s0)),
    inference(superposition,[],[f200,f1]) ).

fof(f200,plain,
    true = ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),
    inference(forward_demodulation,[],[f199,f16]) ).

fof(f16,axiom,
    true = differ(a,table),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f199,plain,
    true = ifeq(differ(a,table),true,holds(holding(a),do(pickup(a),s0)),true),
    inference(forward_demodulation,[],[f198,f1]) ).

fof(f198,plain,
    true = ifeq(differ(a,table),true,ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),true),
    inference(forward_demodulation,[],[f197,f30]) ).

fof(f30,axiom,
    true = holds(empty,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f197,plain,
    true = ifeq(differ(a,table),true,ifeq(holds(empty,s0),true,holds(holding(a),do(pickup(a),s0)),true),true),
    inference(forward_demodulation,[],[f192,f1]) ).

fof(f192,plain,
    true = ifeq(differ(a,table),true,ifeq(holds(empty,s0),true,ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),true),true),
    inference(superposition,[],[f3,f27]) ).

fof(f27,axiom,
    true = holds(clear(a),s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f3,axiom,
    ! [X4,X5] : true = ifeq(differ(X5,table),true,ifeq(holds(empty,X4),true,ifeq(holds(clear(X5),X4),true,holds(holding(X5),do(pickup(X5),X4)),true),true),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f8,axiom,
    ! [X3,X4,X5] : true = ifeq(holds(holding(X5),X4),true,ifeq(holds(clear(X3),X4),true,holds(on(X5,X3),do(putdown(X5,X3),X4)),true),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f32,axiom,
    ! [X4] : true != holds(on(a,c),X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PLA017-10 : TPTP v8.2.0. Released v7.3.0.
% 0.07/0.13  % Command    : run_vampire %s %d SAT
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Jun 18 17:15:24 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.37  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.37  Running first-order model finding
% 0.13/0.37  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.45  % (4372)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (4376)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.23/0.45  % (4372)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (4375)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.23/0.45  % (4372)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (4378)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.23/0.45  % (4372)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (4374)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.23/0.45  % (4372)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (4377)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.23/0.46  TRYING [1]
% 0.23/0.46  % (4372)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (4373)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.23/0.46  % (4372)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (4379)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.23/0.46  TRYING [2]
% 0.23/0.48  TRYING [3]
% 0.23/0.51  % (4377)Instruction limit reached!
% 0.23/0.51  % (4377)------------------------------
% 0.23/0.51  % (4377)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.51  % (4377)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.51  % (4377)Termination reason: Time limit
% 0.23/0.51  % (4377)Termination phase: Saturation
% 0.23/0.51  
% 0.23/0.51  % (4377)Memory used [KB]: 2054
% 0.23/0.51  % (4377)Time elapsed: 0.061 s
% 0.23/0.51  % (4377)Instructions burned: 105 (million)
% 0.23/0.52  % (4379)Instruction limit reached!
% 0.23/0.52  % (4379)------------------------------
% 0.23/0.52  % (4379)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.52  % (4379)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.52  % (4379)Termination reason: Time limit
% 0.23/0.52  % (4379)Termination phase: Saturation
% 0.23/0.52  
% 0.23/0.52  % (4379)Memory used [KB]: 1717
% 0.23/0.52  % (4379)Time elapsed: 0.060 s
% 0.23/0.52  % (4379)Instructions burned: 116 (million)
% 0.23/0.54  % (4378)Instruction limit reached!
% 0.23/0.54  % (4378)------------------------------
% 0.23/0.54  % (4378)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.54  % (4378)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.54  % (4378)Termination reason: Time limit
% 0.23/0.54  % (4378)Termination phase: Saturation
% 0.23/0.54  
% 0.23/0.54  % (4378)Memory used [KB]: 2334
% 0.23/0.54  % (4378)Time elapsed: 0.089 s
% 0.23/0.54  % (4378)Instructions burned: 146 (million)
% 0.23/0.57  TRYING [4]
% 0.23/0.58  % (4372)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.58  % (4381)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.23/0.58  % (4372)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.58  % (4380)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 1.51/0.60  % (4372)Running in auto input_syntax mode. Trying TPTP
% 1.51/0.60  % (4382)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.94/0.66  % (4381)Instruction limit reached!
% 1.94/0.66  % (4381)------------------------------
% 1.94/0.66  % (4381)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.94/0.66  % (4381)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.94/0.66  % (4381)Termination reason: Time limit
% 1.94/0.66  % (4381)Termination phase: Saturation
% 1.94/0.66  
% 1.94/0.66  % (4381)Memory used [KB]: 1750
% 1.94/0.66  % (4381)Time elapsed: 0.087 s
% 1.94/0.66  % (4381)Instructions burned: 176 (million)
% 1.94/0.73  % (4372)Running in auto input_syntax mode. Trying TPTP
% 1.94/0.73  % (4383)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 2.53/0.74  TRYING [10]
% 2.53/0.76  % (4382)Instruction limit reached!
% 2.53/0.76  % (4382)------------------------------
% 2.53/0.76  % (4382)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.53/0.76  % (4382)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.53/0.76  % (4382)Termination reason: Time limit
% 2.53/0.76  % (4382)Termination phase: Saturation
% 2.53/0.76  
% 2.53/0.76  % (4382)Memory used [KB]: 4353
% 2.53/0.76  % (4382)Time elapsed: 0.159 s
% 2.53/0.76  % (4382)Instructions burned: 271 (million)
% 2.85/0.79  % (4380)Instruction limit reached!
% 2.85/0.79  % (4380)------------------------------
% 2.85/0.79  % (4380)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.85/0.79  % (4380)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.85/0.79  % (4380)Termination reason: Time limit
% 2.85/0.79  % (4380)Termination phase: Saturation
% 2.85/0.79  
% 2.85/0.79  % (4380)Memory used [KB]: 4740
% 2.85/0.79  % (4380)Time elapsed: 0.212 s
% 2.85/0.79  % (4380)Instructions burned: 405 (million)
% 2.85/0.82  % (4372)Running in auto input_syntax mode. Trying TPTP
% 2.85/0.82  % (4384)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2996ds/7859Mi)
% 2.85/0.83  TRYING [1]
% 2.85/0.83  TRYING [2]
% 2.85/0.84  TRYING [3]
% 2.85/0.84  % (4372)Running in auto input_syntax mode. Trying TPTP
% 2.85/0.84  % (4385)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2995ds/2145Mi)
% 3.33/0.92  TRYING [5]
% 3.33/0.93  TRYING [4]
% 4.05/1.15  % (4383)Instruction limit reached!
% 4.05/1.15  % (4383)------------------------------
% 4.05/1.15  % (4383)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.05/1.15  % (4383)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.05/1.15  % (4383)Termination reason: Time limit
% 4.05/1.15  % (4383)Termination phase: Saturation
% 4.05/1.15  
% 4.05/1.15  % (4383)Memory used [KB]: 11293
% 4.05/1.15  % (4383)Time elapsed: 0.424 s
% 4.05/1.15  % (4383)Instructions burned: 900 (million)
% 5.69/1.22  % (4372)Running in auto input_syntax mode. Trying TPTP
% 5.69/1.22  % (4386)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2992ds/1187Mi)
% 6.14/1.26  TRYING [5]
% 9.25/1.77  % (4385)First to succeed.
% 9.25/1.77  % (4385)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4372"
% 9.25/1.78  % (4372)Running in auto input_syntax mode. Trying TPTP
% 9.25/1.78  % (4385)Refutation found. Thanks to Tanya!
% 9.25/1.78  % SZS status Unsatisfiable for theBenchmark
% 9.25/1.78  % SZS output start Proof for theBenchmark
% See solution above
% 9.25/1.78  % (4385)------------------------------
% 9.25/1.78  % (4385)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.25/1.78  % (4385)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.25/1.78  % (4385)Termination reason: Refutation
% 9.25/1.78  
% 9.25/1.78  % (4385)Memory used [KB]: 13570
% 9.25/1.78  % (4385)Time elapsed: 0.935 s
% 9.25/1.78  % (4385)Instructions burned: 1999 (million)
% 9.25/1.78  % (4385)------------------------------
% 9.25/1.78  % (4385)------------------------------
% 9.25/1.78  % (4372)Success in time 1.389 s
%------------------------------------------------------------------------------