TSTP Solution File: GRP598-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP598-1 : 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 : n006.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 16:22:58 EDT 2022

% Result   : Unsatisfiable 1.63s 0.64s
% Output   : Refutation 1.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (  21 unt;   0 def)
%            Number of atoms       :   21 (  20 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    :   11 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f219,plain,
    $false,
    inference(trivial_inequality_removal,[],[f200]) ).

fof(f200,plain,
    a2 != a2,
    inference(superposition,[],[f154,f178]) ).

fof(f178,plain,
    ! [X20] : inverse(inverse(X20)) = X20,
    inference(superposition,[],[f51,f77]) ).

fof(f77,plain,
    ! [X38,X36] : double_divide(X36,inverse(double_divide(inverse(X36),inverse(X38)))) = X38,
    inference(forward_demodulation,[],[f70,f51]) ).

fof(f70,plain,
    ! [X38,X36,X37] : double_divide(X36,inverse(double_divide(inverse(X36),inverse(double_divide(inverse(X38),inverse(double_divide(X37,inverse(X37)))))))) = X38,
    inference(superposition,[],[f1,f51]) ).

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

fof(f51,plain,
    ! [X19,X20] : double_divide(inverse(X20),inverse(double_divide(X19,inverse(X19)))) = X20,
    inference(superposition,[],[f20,f24]) ).

fof(f24,plain,
    ! [X3,X4] : double_divide(double_divide(X3,inverse(X3)),inverse(X4)) = X4,
    inference(superposition,[],[f1,f20]) ).

fof(f20,plain,
    ! [X3,X0] : double_divide(X3,inverse(double_divide(inverse(X0),inverse(X3)))) = X0,
    inference(forward_demodulation,[],[f15,f1]) ).

fof(f15,plain,
    ! [X2,X3,X0,X1] : double_divide(X3,inverse(double_divide(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(double_divide(inverse(inverse(X0)),X2))))),inverse(X3)))) = X0,
    inference(superposition,[],[f5,f5]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1] : double_divide(X2,inverse(double_divide(double_divide(X0,X1),inverse(double_divide(inverse(X3),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))))))) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f154,plain,
    a2 != inverse(inverse(a2)),
    inference(forward_demodulation,[],[f107,f84]) ).

fof(f84,plain,
    ! [X21,X20] : inverse(X20) = double_divide(X20,inverse(double_divide(X21,inverse(X21)))),
    inference(superposition,[],[f73,f51]) ).

fof(f73,plain,
    ! [X25,X23] : double_divide(double_divide(X25,inverse(X23)),inverse(X23)) = X25,
    inference(forward_demodulation,[],[f66,f51]) ).

fof(f66,plain,
    ! [X24,X25,X23] : double_divide(double_divide(double_divide(inverse(X25),inverse(double_divide(X24,inverse(X24)))),inverse(X23)),inverse(X23)) = X25,
    inference(superposition,[],[f6,f51]) ).

fof(f6,plain,
    ! [X2,X0,X1] : double_divide(double_divide(double_divide(inverse(X0),X1),inverse(double_divide(inverse(X2),X1))),inverse(X2)) = X0,
    inference(superposition,[],[f1,f1]) ).

fof(f107,plain,
    ! [X26] : a2 != inverse(double_divide(a2,inverse(double_divide(X26,inverse(X26))))),
    inference(superposition,[],[f4,f79]) ).

fof(f79,plain,
    ! [X3,X4] : double_divide(X3,inverse(X3)) = double_divide(X4,inverse(X4)),
    inference(superposition,[],[f73,f24]) ).

fof(f4,plain,
    a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))),
    inference(definition_unfolding,[],[f3,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

fof(f3,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP598-1 : 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
% 0.13/0.34  % Computer : n006.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
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:33:10 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (29449)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)
% 0.19/0.49  TRYING [1]
% 0.19/0.49  TRYING [2]
% 0.19/0.49  TRYING [3]
% 0.19/0.52  TRYING [4]
% 0.19/0.53  % (29473)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.63/0.56  % (29465)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.63/0.56  % (29452)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)
% 1.63/0.57  % (29457)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.63/0.57  % (29457)Instruction limit reached!
% 1.63/0.57  % (29457)------------------------------
% 1.63/0.57  % (29457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57  % (29457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.57  % (29457)Termination reason: Unknown
% 1.63/0.57  % (29457)Termination phase: Saturation
% 1.63/0.57  
% 1.63/0.57  % (29457)Memory used [KB]: 5373
% 1.63/0.57  % (29457)Time elapsed: 0.163 s
% 1.63/0.57  % (29457)Instructions burned: 3 (million)
% 1.63/0.57  % (29457)------------------------------
% 1.63/0.57  % (29457)------------------------------
% 1.63/0.57  % (29450)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)
% 1.63/0.57  % (29460)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)
% 1.63/0.58  % (29453)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.63/0.58  % (29451)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 1.63/0.58  % (29468)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)
% 1.63/0.58  % (29455)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)
% 1.63/0.58  TRYING [1]
% 1.63/0.59  % (29462)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.63/0.59  % (29463)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)
% 1.63/0.60  % (29466)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.63/0.60  % (29472)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 1.63/0.60  TRYING [2]
% 1.63/0.61  TRYING [1]
% 1.63/0.61  TRYING [3]
% 1.63/0.61  % (29454)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 1.63/0.61  TRYING [2]
% 1.63/0.61  TRYING [3]
% 1.63/0.61  % (29464)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)
% 1.63/0.61  % (29458)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)
% 1.63/0.61  TRYING [4]
% 1.63/0.61  % (29468)First to succeed.
% 1.63/0.61  % (29477)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.63/0.62  % (29474)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.63/0.62  % (29467)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.63/0.62  % (29476)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)
% 1.63/0.62  % (29461)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.63/0.62  % (29478)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)
% 1.63/0.62  % (29475)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)
% 1.63/0.62  TRYING [4]
% 1.63/0.63  % (29456)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.63/0.63  % (29469)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 1.63/0.63  % (29471)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)
% 1.63/0.63  % (29450)Also succeeded, but the first one will report.
% 1.63/0.63  % (29470)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.63/0.63  % (29459)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.63/0.64  % (29468)Refutation found. Thanks to Tanya!
% 1.63/0.64  % SZS status Unsatisfiable for theBenchmark
% 1.63/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.64  % (29468)------------------------------
% 1.63/0.64  % (29468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.64  % (29468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.64  % (29468)Termination reason: Refutation
% 1.63/0.64  
% 1.63/0.64  % (29468)Memory used [KB]: 1279
% 1.63/0.64  % (29468)Time elapsed: 0.185 s
% 1.63/0.64  % (29468)Instructions burned: 14 (million)
% 1.63/0.64  % (29468)------------------------------
% 1.63/0.64  % (29468)------------------------------
% 1.63/0.64  % (29448)Success in time 0.286 s
%------------------------------------------------------------------------------