TSTP Solution File: GRP700-10 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP700-10 : TPTP v8.1.0. Released v8.1.0.
% 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 : n019.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 16:23:41 EDT 2022

% Result   : Unsatisfiable 2.19s 0.65s
% Output   : Refutation 2.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   41 (  41 unt;   0 def)
%            Number of atoms       :   41 (  40 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f455,plain,
    $false,
    inference(trivial_inequality_removal,[],[f454]) ).

fof(f454,plain,
    sF3 != sF3,
    inference(superposition,[],[f14,f446]) ).

fof(f446,plain,
    sF2(ld(x0,unit)) = sF3,
    inference(forward_demodulation,[],[f445,f13]) ).

fof(f13,plain,
    tuple(unit,unit) = sF3,
    introduced(function_definition,[]) ).

fof(f445,plain,
    tuple(unit,unit) = sF2(ld(x0,unit)),
    inference(forward_demodulation,[],[f444,f428]) ).

fof(f428,plain,
    rd(unit,x0) = ld(x0,unit),
    inference(superposition,[],[f29,f406]) ).

fof(f406,plain,
    unit = sF1(rd(unit,x0)),
    inference(forward_demodulation,[],[f399,f53]) ).

fof(f53,plain,
    ! [X6] : unit = rd(X6,X6),
    inference(superposition,[],[f4,f6]) ).

fof(f6,axiom,
    ! [X0] : mult(unit,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).

fof(f4,axiom,
    ! [X0,X1] : rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).

fof(f399,plain,
    rd(x0,x0) = sF1(rd(unit,x0)),
    inference(superposition,[],[f51,f391]) ).

fof(f391,plain,
    x0 = sF0(sF1(rd(unit,x0))),
    inference(forward_demodulation,[],[f375,f54]) ).

fof(f54,plain,
    ! [X7] : x0 = rd(sF1(X7),X7),
    inference(superposition,[],[f4,f11]) ).

fof(f11,plain,
    ! [X3] : mult(x0,X3) = sF1(X3),
    introduced(function_definition,[]) ).

fof(f375,plain,
    sF0(sF1(rd(unit,x0))) = rd(sF1(x0),x0),
    inference(superposition,[],[f206,f15]) ).

fof(f15,plain,
    x0 = sF0(unit),
    inference(superposition,[],[f10,f6]) ).

fof(f10,plain,
    ! [X3] : mult(X3,x0) = sF0(X3),
    introduced(function_definition,[]) ).

fof(f206,plain,
    ! [X3] : rd(sF1(sF0(X3)),x0) = sF0(sF1(rd(X3,x0))),
    inference(superposition,[],[f51,f165]) ).

fof(f165,plain,
    ! [X0] : sF0(sF0(sF1(rd(X0,x0)))) = sF1(sF0(X0)),
    inference(superposition,[],[f161,f47]) ).

fof(f47,plain,
    ! [X3] : sF0(rd(X3,x0)) = X3,
    inference(superposition,[],[f10,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : mult(rd(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).

fof(f161,plain,
    ! [X0] : sF0(sF0(sF1(X0))) = sF1(sF0(sF0(X0))),
    inference(forward_demodulation,[],[f160,f10]) ).

fof(f160,plain,
    ! [X0] : mult(sF0(sF1(X0)),x0) = sF1(sF0(sF0(X0))),
    inference(forward_demodulation,[],[f152,f5]) ).

fof(f5,axiom,
    ! [X0] : mult(X0,unit) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).

fof(f152,plain,
    ! [X0] : mult(sF0(sF1(X0)),x0) = sF1(mult(sF0(sF0(X0)),unit)),
    inference(superposition,[],[f128,f19]) ).

fof(f19,plain,
    x0 = sF1(unit),
    inference(superposition,[],[f5,f11]) ).

fof(f128,plain,
    ! [X16,X17] : mult(sF0(sF1(X17)),sF1(X16)) = sF1(mult(sF0(sF0(X17)),X16)),
    inference(forward_demodulation,[],[f127,f11]) ).

fof(f127,plain,
    ! [X16,X17] : sF1(mult(sF0(sF0(X17)),X16)) = mult(sF0(mult(x0,X17)),sF1(X16)),
    inference(forward_demodulation,[],[f126,f10]) ).

fof(f126,plain,
    ! [X16,X17] : mult(mult(mult(x0,X17),x0),sF1(X16)) = sF1(mult(sF0(sF0(X17)),X16)),
    inference(forward_demodulation,[],[f125,f10]) ).

fof(f125,plain,
    ! [X16,X17] : mult(mult(mult(x0,X17),x0),sF1(X16)) = sF1(mult(sF0(mult(X17,x0)),X16)),
    inference(forward_demodulation,[],[f124,f10]) ).

fof(f124,plain,
    ! [X16,X17] : mult(mult(mult(x0,X17),x0),sF1(X16)) = sF1(mult(mult(mult(X17,x0),x0),X16)),
    inference(forward_demodulation,[],[f117,f11]) ).

fof(f117,plain,
    ! [X16,X17] : mult(mult(mult(x0,X17),x0),sF1(X16)) = mult(x0,mult(mult(mult(X17,x0),x0),X16)),
    inference(superposition,[],[f7,f11]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : mult(mult(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(mult(X1,X0),X0),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).

fof(f51,plain,
    ! [X1] : rd(sF0(X1),x0) = X1,
    inference(superposition,[],[f4,f10]) ).

fof(f29,plain,
    ! [X5] : ld(x0,sF1(X5)) = X5,
    inference(superposition,[],[f2,f11]) ).

fof(f2,axiom,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).

fof(f444,plain,
    tuple(unit,unit) = sF2(rd(unit,x0)),
    inference(forward_demodulation,[],[f427,f47]) ).

fof(f427,plain,
    sF2(rd(unit,x0)) = tuple(sF0(rd(unit,x0)),unit),
    inference(superposition,[],[f12,f406]) ).

fof(f12,plain,
    ! [X3] : tuple(sF0(X3),sF1(X3)) = sF2(X3),
    introduced(function_definition,[]) ).

fof(f14,plain,
    ! [X3] : sF2(X3) != sF3,
    inference(definition_folding,[],[f9,f13,f12,f11,f10]) ).

fof(f9,axiom,
    ! [X3] : tuple(mult(X3,x0),mult(x0,X3)) != tuple(unit,unit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP700-10 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.13  % 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 : n019.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 22:49:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.54  % (25115)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (25114)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  TRYING [1]
% 0.20/0.55  % (25130)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 (2999ds/498Mi)
% 0.20/0.55  % (25115)Instruction limit reached!
% 0.20/0.55  % (25115)------------------------------
% 0.20/0.55  % (25115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (25122)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 (2999ds/68Mi)
% 0.20/0.56  TRYING [2]
% 0.20/0.56  % (25123)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 (2999ds/75Mi)
% 0.20/0.56  TRYING [3]
% 0.20/0.56  % (25131)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 (2999ds/467Mi)
% 0.20/0.56  TRYING [4]
% 0.20/0.57  % (25115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (25115)Termination reason: Unknown
% 0.20/0.57  % (25115)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (25115)Memory used [KB]: 5500
% 0.20/0.57  % (25115)Time elapsed: 0.125 s
% 0.20/0.57  % (25115)Instructions burned: 7 (million)
% 0.20/0.57  % (25115)------------------------------
% 0.20/0.57  % (25115)------------------------------
% 0.20/0.59  % (25113)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 (2999ds/48Mi)
% 0.20/0.60  % (25111)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.60  % (25109)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.60  % (25133)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.60  % (25121)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.61  % (25110)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 (2999ds/37Mi)
% 0.20/0.61  % (25112)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.61  % (25119)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.61  % (25125)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.61  TRYING [1]
% 0.20/0.61  % (25127)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 (2999ds/100Mi)
% 0.20/0.61  TRYING [2]
% 0.20/0.61  % (25128)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 (2999ds/176Mi)
% 0.20/0.61  % (25126)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.61  TRYING [3]
% 0.20/0.61  % (25129)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.62  % (25120)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.62  % (25118)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.62  % (25114)Instruction limit reached!
% 0.20/0.62  % (25114)------------------------------
% 0.20/0.62  % (25114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62  % (25136)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.62  % (25134)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 (2999ds/68Mi)
% 0.20/0.62  % (25117)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 (2999ds/51Mi)
% 0.20/0.62  % (25135)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 (2999ds/177Mi)
% 0.20/0.62  % (25108)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 (2999ds/191324Mi)
% 0.20/0.62  TRYING [1]
% 0.20/0.62  TRYING [2]
% 1.93/0.63  % (25116)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.93/0.63  % (25116)Instruction limit reached!
% 1.93/0.63  % (25116)------------------------------
% 1.93/0.63  % (25116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.63  % (25116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.63  % (25116)Termination reason: Unknown
% 1.93/0.63  % (25116)Termination phase: Saturation
% 1.93/0.63  
% 1.93/0.63  % (25116)Memory used [KB]: 5373
% 1.93/0.63  % (25116)Time elapsed: 0.201 s
% 1.93/0.63  % (25116)Instructions burned: 2 (million)
% 1.93/0.63  % (25116)------------------------------
% 1.93/0.63  % (25116)------------------------------
% 1.93/0.63  % (25137)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 (2999ds/355Mi)
% 1.93/0.63  % (25114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.63  % (25114)Termination reason: Unknown
% 1.93/0.63  % (25114)Termination phase: Finite model building SAT solving
% 1.93/0.63  
% 1.93/0.63  % (25114)Memory used [KB]: 7931
% 1.93/0.63  % (25114)Time elapsed: 0.153 s
% 1.93/0.63  % (25114)Instructions burned: 51 (million)
% 1.93/0.63  % (25114)------------------------------
% 1.93/0.63  % (25114)------------------------------
% 1.93/0.63  % (25132)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.19/0.64  TRYING [3]
% 2.19/0.65  % (25124)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 (2999ds/99Mi)
% 2.19/0.65  % (25111)First to succeed.
% 2.19/0.65  % (25111)Refutation found. Thanks to Tanya!
% 2.19/0.65  % SZS status Unsatisfiable for theBenchmark
% 2.19/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 2.19/0.65  % (25111)------------------------------
% 2.19/0.65  % (25111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.65  % (25111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.65  % (25111)Termination reason: Refutation
% 2.19/0.65  
% 2.19/0.65  % (25111)Memory used [KB]: 5756
% 2.19/0.65  % (25111)Time elapsed: 0.211 s
% 2.19/0.65  % (25111)Instructions burned: 17 (million)
% 2.19/0.65  % (25111)------------------------------
% 2.19/0.65  % (25111)------------------------------
% 2.19/0.65  % (25107)Success in time 0.291 s
%------------------------------------------------------------------------------