TSTP Solution File: GRP658-10 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : GRP658-10 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n027.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 07:25:16 EDT 2024

% Result   : Unsatisfiable 1.46s 0.56s
% Output   : Refutation 1.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (  24 unt;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   0 con; 1-2 aty)
%            Number of variables   :   54 (  54   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3514,plain,
    $false,
    inference(trivial_inequality_removal,[],[f3513]) ).

fof(f3513,plain,
    ! [X0] : tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))) != tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))),
    inference(forward_demodulation,[],[f3422,f802]) ).

fof(f802,plain,
    ! [X2,X1] : mult(rd(X1,X1),X2) = X2,
    inference(superposition,[],[f600,f1]) ).

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

fof(f600,plain,
    ! [X2,X0,X1] : mult(rd(mult(X0,X1),mult(X0,X1)),X2) = X2,
    inference(superposition,[],[f535,f32]) ).

fof(f32,plain,
    ! [X2,X0,X1] : mult(rd(X0,mult(X1,X1)),X1) = rd(mult(X0,X2),mult(X1,X2)),
    inference(superposition,[],[f4,f14]) ).

fof(f14,plain,
    ! [X2,X0,X1] : mult(mult(rd(X0,mult(X1,X1)),X1),mult(X1,X2)) = mult(X0,X2),
    inference(superposition,[],[f5,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : mult(rd(X0,X1),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5,axiom,
    ! [X2,X0,X1] : mult(mult(X0,mult(X1,X1)),X2) = mult(mult(X0,X1),mult(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4,axiom,
    ! [X0,X1] : rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f535,plain,
    ! [X0,X1] : mult(mult(rd(X0,mult(X0,X0)),X0),X1) = X1,
    inference(superposition,[],[f42,f1]) ).

fof(f42,plain,
    ! [X2,X0,X1] : mult(mult(rd(X0,mult(X1,X1)),X1),mult(X1,ld(X0,X2))) = X2,
    inference(superposition,[],[f16,f3]) ).

fof(f16,plain,
    ! [X2,X0,X1] : mult(mult(X0,X1),mult(X1,ld(mult(X0,mult(X1,X1)),X2))) = X2,
    inference(superposition,[],[f5,f1]) ).

fof(f3422,plain,
    ! [X0] : tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))) != tuple(mult(rd(X0,X0),x1(rd(X0,X0))),x1_2(rd(X0,X0))),
    inference(superposition,[],[f6,f2862]) ).

fof(f2862,plain,
    ! [X0,X1] : mult(X0,rd(X1,X1)) = X0,
    inference(superposition,[],[f1,f2708]) ).

fof(f2708,plain,
    ! [X0,X1] : rd(X1,X1) = ld(X0,X0),
    inference(superposition,[],[f4,f2603]) ).

fof(f2603,plain,
    ! [X0,X1] : mult(ld(X0,X0),X1) = X1,
    inference(superposition,[],[f2534,f1]) ).

fof(f2534,plain,
    ! [X2,X1] : mult(X1,X2) = mult(ld(X1,X1),mult(X1,X2)),
    inference(forward_demodulation,[],[f2533,f1]) ).

fof(f2533,plain,
    ! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(ld(X1,X1),mult(X1,X2)),
    inference(forward_demodulation,[],[f2436,f25]) ).

fof(f25,plain,
    ! [X2,X0,X1] : mult(X2,ld(X0,X1)) = mult(mult(rd(X2,mult(X0,X0)),X0),X1),
    inference(superposition,[],[f14,f1]) ).

fof(f2436,plain,
    ! [X2,X0,X1] : mult(mult(mult(rd(X0,mult(X0,X0)),X0),X1),X2) = mult(ld(X1,X1),mult(X1,X2)),
    inference(superposition,[],[f2423,f535]) ).

fof(f2423,plain,
    ! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,ld(X1,X1)),mult(X1,X2)),
    inference(forward_demodulation,[],[f31,f25]) ).

fof(f31,plain,
    ! [X2,X0,X1] : mult(mult(mult(rd(X0,mult(X1,X1)),X1),X1),mult(X1,X2)) = mult(mult(X0,X1),X2),
    inference(superposition,[],[f5,f14]) ).

fof(f6,axiom,
    ! [X3] : tuple(mult(X3,x1(X3)),mult(x1_2(X3),X3)) != tuple(x1(X3),x1_2(X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP658-10 : TPTP v8.2.0. Released v8.1.0.
% 0.03/0.12  % Command    : run_vampire %s %d SAT
% 0.12/0.33  % Computer : n027.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   : Thu Jun 20 11:06:23 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.35  Running first-order model finding
% 0.12/0.35  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42  % (6643)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (6648)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.20/0.42  % (6643)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (6650)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 (2999ds/115Mi)
% 0.20/0.42  % (6643)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (6647)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 (2999ds/152523Mi)
% 0.20/0.42  % (6643)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (6646)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.20/0.42  % (6643)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (6649)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 (2999ds/146Mi)
% 0.20/0.42  % (6643)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (6644)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.20/0.42  % (6643)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (6645)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 (2999ds/99418Mi)
% 0.20/0.42  TRYING [1]
% 0.20/0.42  TRYING [2]
% 0.20/0.42  TRYING [3]
% 0.20/0.43  TRYING [4]
% 0.20/0.43  TRYING [10]
% 0.20/0.45  TRYING [5]
% 0.20/0.47  % (6650)Instruction limit reached!
% 0.20/0.47  % (6650)------------------------------
% 0.20/0.47  % (6650)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47  % (6650)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47  % (6650)Termination reason: Time limit
% 0.20/0.47  % (6650)Termination phase: Saturation
% 0.20/0.47  
% 0.20/0.47  % (6650)Memory used [KB]: 1540
% 0.20/0.47  % (6650)Time elapsed: 0.056 s
% 0.20/0.47  % (6650)Instructions burned: 116 (million)
% 0.20/0.47  % (6648)Instruction limit reached!
% 0.20/0.47  % (6648)------------------------------
% 0.20/0.47  % (6648)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48  % (6648)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48  % (6648)Termination reason: Time limit
% 0.20/0.48  % (6648)Termination phase: Saturation
% 0.20/0.48  
% 0.20/0.48  % (6648)Memory used [KB]: 2235
% 0.20/0.48  % (6648)Time elapsed: 0.060 s
% 0.20/0.48  % (6648)Instructions burned: 105 (million)
% 0.20/0.49  % (6649)Instruction limit reached!
% 0.20/0.49  % (6649)------------------------------
% 0.20/0.49  % (6649)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49  % (6649)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49  % (6649)Termination reason: Time limit
% 0.20/0.49  % (6649)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (6649)Memory used [KB]: 2617
% 0.20/0.49  % (6649)Time elapsed: 0.075 s
% 0.20/0.49  % (6649)Instructions burned: 147 (million)
% 0.20/0.50  TRYING [6]
% 0.20/0.51  % (6643)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51  % (6651)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)
% 0.20/0.51  % (6643)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51  % (6652)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.20/0.53  TRYING [23]
% 0.20/0.53  % (6643)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.53  % (6653)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)
% 1.46/0.56  % (6651)First to succeed.
% 1.46/0.56  % (6651)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6643"
% 1.46/0.56  % (6643)Running in auto input_syntax mode. Trying TPTP
% 1.46/0.56  % (6651)Refutation found. Thanks to Tanya!
% 1.46/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.46/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.56  % (6651)------------------------------
% 1.46/0.56  % (6651)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.46/0.56  % (6651)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.46/0.56  % (6651)Termination reason: Refutation
% 1.46/0.56  
% 1.46/0.56  % (6651)Memory used [KB]: 2245
% 1.46/0.56  % (6651)Time elapsed: 0.052 s
% 1.46/0.56  % (6651)Instructions burned: 165 (million)
% 1.46/0.56  % (6651)------------------------------
% 1.46/0.56  % (6651)------------------------------
% 1.46/0.56  % (6643)Success in time 0.201 s
%------------------------------------------------------------------------------