TSTP Solution File: GRP445-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP445-1 : 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 : n015.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 16:22:32 EDT 2022

% Result   : Unsatisfiable 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   24 (  24 unt;   0 def)
%            Number of atoms       :   24 (  23 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    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f216,plain,
    $false,
    inference(subsumption_resolution,[],[f215,f9]) ).

fof(f9,plain,
    sF3 != sF1,
    inference(definition_folding,[],[f4,f8,f7,f6,f5]) ).

fof(f5,plain,
    inverse(a1) = sF0,
    introduced(function_definition,[]) ).

fof(f6,plain,
    sF1 = multiply(sF0,a1),
    introduced(function_definition,[]) ).

fof(f7,plain,
    inverse(b1) = sF2,
    introduced(function_definition,[]) ).

fof(f8,plain,
    multiply(sF2,b1) = sF3,
    introduced(function_definition,[]) ).

fof(f4,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).

fof(f215,plain,
    sF3 = sF1,
    inference(forward_demodulation,[],[f117,f118]) ).

fof(f118,plain,
    ! [X6,X5] : sF1 = divide(X6,divide(inverse(X5),divide(inverse(X6),X5))),
    inference(superposition,[],[f11,f23]) ).

fof(f23,plain,
    ! [X0] : inverse(X0) = divide(inverse(sF1),X0),
    inference(superposition,[],[f3,f21]) ).

fof(f21,plain,
    ! [X0] : inverse(X0) = divide(sF1,X0),
    inference(superposition,[],[f3,f19]) ).

fof(f19,plain,
    divide(sF0,sF0) = sF1,
    inference(superposition,[],[f14,f6]) ).

fof(f14,plain,
    ! [X0] : divide(X0,sF0) = multiply(X0,a1),
    inference(superposition,[],[f12,f5]) ).

fof(f12,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(forward_demodulation,[],[f2,f3]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f3,axiom,
    ! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

fof(f11,plain,
    ! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
    inference(forward_demodulation,[],[f10,f3]) ).

fof(f10,plain,
    ! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2))) = X1,
    inference(forward_demodulation,[],[f1,f3]) ).

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

fof(f117,plain,
    ! [X3,X4] : sF3 = divide(X4,divide(inverse(X3),divide(inverse(X4),X3))),
    inference(superposition,[],[f11,f33]) ).

fof(f33,plain,
    ! [X8] : inverse(X8) = divide(inverse(sF3),X8),
    inference(superposition,[],[f13,f26]) ).

fof(f26,plain,
    sF3 = divide(sF2,sF2),
    inference(superposition,[],[f8,f15]) ).

fof(f15,plain,
    ! [X1] : divide(X1,sF2) = multiply(X1,b1),
    inference(superposition,[],[f12,f7]) ).

fof(f13,plain,
    ! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
    inference(superposition,[],[f3,f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP445-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13  % 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 : n015.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 22:40:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (16436)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.51  % (16433)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)
% 0.19/0.51  % (16450)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)
% 0.19/0.51  % (16429)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)
% 0.19/0.52  % (16442)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)
% 0.19/0.52  % (16448)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)
% 0.19/0.52  % (16428)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)
% 0.19/0.52  % (16447)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)
% 0.19/0.52  % (16441)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  % (16436)Instruction limit reached!
% 0.19/0.52  % (16436)------------------------------
% 0.19/0.52  % (16436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (16436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (16436)Termination reason: Unknown
% 0.19/0.52  % (16436)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (16436)Memory used [KB]: 5373
% 0.19/0.52  % (16436)Time elapsed: 0.113 s
% 0.19/0.52  % (16436)Instructions burned: 3 (million)
% 0.19/0.52  % (16436)------------------------------
% 0.19/0.52  % (16436)------------------------------
% 0.19/0.52  % (16434)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)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  % (16431)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)
% 0.19/0.52  % (16430)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)
% 0.19/0.52  % (16454)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)
% 0.19/0.52  % (16452)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.52  % (16456)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.52  TRYING [2]
% 0.19/0.53  % (16438)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.53  % (16432)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.53  % (16437)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)
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (16455)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)
% 0.19/0.53  % (16432)First to succeed.
% 0.19/0.53  % (16455)Also succeeded, but the first one will report.
% 0.19/0.53  % (16435)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.54  % (16440)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.54  TRYING [4]
% 0.19/0.54  % (16453)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.54  % (16446)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.54  % (16435)Instruction limit reached!
% 0.19/0.54  % (16435)------------------------------
% 0.19/0.54  % (16435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (16435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (16435)Termination reason: Unknown
% 0.19/0.54  % (16435)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (16435)Memory used [KB]: 5500
% 0.19/0.54  % (16435)Time elapsed: 0.137 s
% 0.19/0.54  % (16435)Instructions burned: 7 (million)
% 0.19/0.54  % (16435)------------------------------
% 0.19/0.54  % (16435)------------------------------
% 0.19/0.54  % (16457)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)
% 0.19/0.54  TRYING [2]
% 0.19/0.54  TRYING [3]
% 0.19/0.54  % (16445)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.54  % (16439)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)
% 0.19/0.54  % (16449)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.54  % (16444)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)
% 0.19/0.54  % (16443)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)
% 0.19/0.55  TRYING [4]
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [2]
% 0.19/0.55  TRYING [3]
% 0.19/0.55  % (16451)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)
% 0.19/0.55  TRYING [4]
% 0.19/0.56  % (16432)Refutation found. Thanks to Tanya!
% 0.19/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56  % (16432)------------------------------
% 0.19/0.56  % (16432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (16432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (16432)Termination reason: Refutation
% 0.19/0.56  
% 0.19/0.56  % (16432)Memory used [KB]: 5500
% 0.19/0.56  % (16432)Time elapsed: 0.128 s
% 0.19/0.56  % (16432)Instructions burned: 8 (million)
% 0.19/0.56  % (16432)------------------------------
% 0.19/0.56  % (16432)------------------------------
% 0.19/0.56  % (16427)Success in time 0.206 s
%------------------------------------------------------------------------------