TSTP Solution File: GRP550-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP550-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% 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 : Wed Aug 31 16:22:50 EDT 2022

% Result   : Unsatisfiable 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f73,plain,
    $false,
    inference(trivial_inequality_removal,[],[f70]) ).

fof(f70,plain,
    a2 != a2,
    inference(superposition,[],[f7,f51]) ).

fof(f51,plain,
    ! [X1] : divide(identity,divide(identity,X1)) = X1,
    inference(backward_demodulation,[],[f15,f48]) ).

fof(f48,plain,
    ! [X1] : divide(identity,X1) = divide(identity,divide(X1,identity)),
    inference(forward_demodulation,[],[f47,f4]) ).

fof(f4,axiom,
    ! [X0] : identity = divide(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).

fof(f47,plain,
    ! [X1] : divide(divide(identity,identity),X1) = divide(identity,divide(X1,identity)),
    inference(forward_demodulation,[],[f44,f21]) ).

fof(f21,plain,
    ! [X0,X1] : divide(divide(identity,X1),divide(X0,X1)) = divide(identity,divide(X0,identity)),
    inference(superposition,[],[f9,f15]) ).

fof(f9,plain,
    ! [X0,X1] : divide(divide(identity,X0),divide(divide(identity,X1),X0)) = X1,
    inference(superposition,[],[f1,f4]) ).

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

fof(f44,plain,
    ! [X2,X1] : divide(divide(identity,identity),X1) = divide(divide(identity,X2),divide(X1,X2)),
    inference(superposition,[],[f9,f25]) ).

fof(f25,plain,
    ! [X0,X1] : divide(X0,divide(divide(X0,identity),X1)) = X1,
    inference(forward_demodulation,[],[f19,f12]) ).

fof(f12,plain,
    ! [X3,X4] : divide(divide(identity,X4),divide(identity,X3)) = divide(X3,X4),
    inference(superposition,[],[f1,f4]) ).

fof(f19,plain,
    ! [X0,X1] : divide(X0,divide(divide(identity,X1),divide(identity,divide(X0,identity)))) = X1,
    inference(superposition,[],[f9,f15]) ).

fof(f15,plain,
    ! [X1] : divide(identity,divide(identity,divide(X1,identity))) = X1,
    inference(forward_demodulation,[],[f14,f4]) ).

fof(f14,plain,
    ! [X1] : divide(identity,divide(divide(identity,identity),divide(X1,identity))) = X1,
    inference(backward_demodulation,[],[f8,f11]) ).

fof(f11,plain,
    ! [X2,X0,X1] : divide(divide(divide(X1,X0),X2),X1) = divide(divide(identity,X0),divide(X2,identity)),
    inference(superposition,[],[f1,f1]) ).

fof(f8,plain,
    ! [X0,X1] : divide(identity,divide(divide(divide(X0,identity),X1),X0)) = X1,
    inference(superposition,[],[f1,f4]) ).

fof(f7,plain,
    a2 != divide(identity,divide(identity,a2)),
    inference(backward_demodulation,[],[f6,f4]) ).

fof(f6,plain,
    a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2)),
    inference(definition_unfolding,[],[f5,f2,f2,f3]) ).

fof(f3,axiom,
    ! [X0] : divide(identity,X0) = inverse(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f5,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP550-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n016.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
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 22:55:45 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.50  % (28103)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.18/0.50  % (28097)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.18/0.50  % (28098)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.18/0.50  % (28093)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.18/0.50  % (28095)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.50  % (28086)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.18/0.50  TRYING [1]
% 0.18/0.51  % (28095)First to succeed.
% 0.18/0.51  TRYING [2]
% 0.18/0.51  TRYING [3]
% 0.18/0.51  TRYING [4]
% 0.18/0.51  % (28113)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.18/0.51  % (28099)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.18/0.51  % (28093)Instruction limit reached!
% 0.18/0.51  % (28093)------------------------------
% 0.18/0.51  % (28093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (28093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (28093)Termination reason: Unknown
% 0.18/0.51  % (28093)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (28093)Memory used [KB]: 5500
% 0.18/0.51  % (28093)Time elapsed: 0.124 s
% 0.18/0.51  % (28093)Instructions burned: 7 (million)
% 0.18/0.51  % (28093)------------------------------
% 0.18/0.51  % (28093)------------------------------
% 0.18/0.51  % (28101)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.18/0.51  % (28108)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.18/0.52  % (28108)Also succeeded, but the first one will report.
% 0.18/0.52  % (28105)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.18/0.52  TRYING [5]
% 0.18/0.52  % (28111)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.18/0.52  % (28100)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.18/0.52  % (28090)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.52  % (28115)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.18/0.52  % (28112)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.18/0.52  TRYING [1]
% 0.18/0.52  TRYING [2]
% 0.18/0.52  TRYING [3]
% 0.18/0.52  % (28089)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.52  % (28087)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.18/0.52  TRYING [4]
% 0.18/0.53  % (28107)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.18/0.53  % (28092)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.53  TRYING [1]
% 0.18/0.53  TRYING [2]
% 0.18/0.53  TRYING [3]
% 0.18/0.53  % (28095)Refutation found. Thanks to Tanya!
% 0.18/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53  % (28095)------------------------------
% 0.18/0.53  % (28095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (28095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (28095)Termination reason: Refutation
% 0.18/0.53  
% 0.18/0.53  % (28095)Memory used [KB]: 895
% 0.18/0.53  % (28095)Time elapsed: 0.124 s
% 0.18/0.53  % (28095)Instructions burned: 3 (million)
% 0.18/0.53  % (28095)------------------------------
% 0.18/0.53  % (28095)------------------------------
% 0.18/0.53  % (28085)Success in time 0.184 s
%------------------------------------------------------------------------------