TSTP Solution File: GRP580-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n028.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 16:22:55 EDT 2022
% Result : Unsatisfiable 1.55s 0.56s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 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 : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f197,plain,
$false,
inference(trivial_inequality_removal,[],[f192]) ).
fof(f192,plain,
double_divide(double_divide(a,b),identity) != double_divide(double_divide(a,b),identity),
inference(superposition,[],[f6,f158]) ).
fof(f158,plain,
! [X3,X4] : double_divide(double_divide(X3,X4),identity) = double_divide(double_divide(X4,X3),identity),
inference(backward_demodulation,[],[f77,f157]) ).
fof(f157,plain,
! [X2] : double_divide(identity,double_divide(X2,identity)) = X2,
inference(forward_demodulation,[],[f140,f141]) ).
fof(f141,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(backward_demodulation,[],[f84,f135]) ).
fof(f135,plain,
! [X2] : double_divide(double_divide(X2,identity),identity) = X2,
inference(backward_demodulation,[],[f111,f125]) ).
fof(f125,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(identity,X0)),identity),
inference(superposition,[],[f103,f7]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f103,plain,
! [X4,X5] : double_divide(double_divide(identity,double_divide(double_divide(X4,X5),X4)),identity) = X5,
inference(forward_demodulation,[],[f75,f73]) ).
fof(f73,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),identity) = X2,
inference(backward_demodulation,[],[f1,f72]) ).
fof(f72,plain,
identity = double_divide(identity,identity),
inference(backward_demodulation,[],[f23,f71]) ).
fof(f71,plain,
identity = double_divide(double_divide(double_divide(identity,identity),identity),double_divide(identity,identity)),
inference(forward_demodulation,[],[f67,f18]) ).
fof(f18,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = double_divide(double_divide(X0,identity),double_divide(identity,identity)),
inference(superposition,[],[f11,f7]) ).
fof(f11,plain,
! [X3,X4] : double_divide(double_divide(X4,double_divide(identity,double_divide(X3,identity))),double_divide(identity,identity)) = double_divide(double_divide(X3,X4),identity),
inference(superposition,[],[f1,f7]) ).
fof(f67,plain,
identity = double_divide(double_divide(double_divide(identity,identity),double_divide(identity,identity)),double_divide(identity,identity)),
inference(superposition,[],[f8,f65]) ).
fof(f65,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(forward_demodulation,[],[f62,f7]) ).
fof(f62,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(identity,identity),identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f23]) ).
fof(f8,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X1),double_divide(X0,identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f7]) ).
fof(f23,plain,
double_divide(identity,identity) = double_divide(double_divide(double_divide(identity,identity),identity),double_divide(identity,identity)),
inference(superposition,[],[f15,f7]) ).
fof(f15,plain,
! [X2] : double_divide(double_divide(double_divide(double_divide(identity,X2),identity),identity),double_divide(identity,identity)) = X2,
inference(superposition,[],[f8,f7]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f75,plain,
! [X2,X3,X4,X5] : double_divide(double_divide(identity,double_divide(double_divide(X4,X5),double_divide(double_divide(X2,double_divide(double_divide(double_divide(X3,X2),X4),double_divide(X3,identity))),identity))),identity) = X5,
inference(backward_demodulation,[],[f9,f72]) ).
fof(f9,plain,
! [X2,X3,X4,X5] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(X4,X5),double_divide(double_divide(X2,double_divide(double_divide(double_divide(X3,X2),X4),double_divide(X3,identity))),identity))),double_divide(identity,identity)) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f111,plain,
! [X2] : double_divide(double_divide(double_divide(identity,double_divide(identity,X2)),identity),identity) = X2,
inference(backward_demodulation,[],[f81,f84]) ).
fof(f81,plain,
! [X2] : double_divide(double_divide(double_divide(double_divide(identity,X2),identity),identity),identity) = X2,
inference(backward_demodulation,[],[f15,f72]) ).
fof(f84,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(identity,X0),identity),
inference(backward_demodulation,[],[f18,f72]) ).
fof(f140,plain,
! [X2] : double_divide(double_divide(identity,X2),identity) = double_divide(identity,double_divide(X2,identity)),
inference(backward_demodulation,[],[f86,f135]) ).
fof(f86,plain,
! [X2] : double_divide(double_divide(identity,double_divide(double_divide(X2,identity),identity)),identity) = double_divide(identity,double_divide(X2,identity)),
inference(backward_demodulation,[],[f20,f72]) ).
fof(f20,plain,
! [X2] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(X2,identity),identity)),double_divide(identity,identity)) = double_divide(identity,double_divide(X2,identity)),
inference(superposition,[],[f8,f11]) ).
fof(f77,plain,
! [X3,X4] : double_divide(double_divide(X4,double_divide(identity,double_divide(X3,identity))),identity) = double_divide(double_divide(X3,X4),identity),
inference(backward_demodulation,[],[f11,f72]) ).
fof(f6,plain,
double_divide(double_divide(b,a),identity) != double_divide(double_divide(a,b),identity),
inference(definition_unfolding,[],[f5,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n028.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 22:42:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (32262)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)
% 0.20/0.50 % (32261)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)
% 0.20/0.50 TRYING [1]
% 0.20/0.51 % (32264)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.51 TRYING [2]
% 0.20/0.51 % (32264)Instruction limit reached!
% 0.20/0.51 % (32264)------------------------------
% 0.20/0.51 % (32264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (32264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (32264)Termination reason: Unknown
% 0.20/0.51 % (32264)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (32264)Memory used [KB]: 5373
% 0.20/0.51 % (32264)Time elapsed: 0.108 s
% 0.20/0.51 % (32264)Instructions burned: 2 (million)
% 0.20/0.51 % (32264)------------------------------
% 0.20/0.51 % (32264)------------------------------
% 0.20/0.51 % (32266)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (32265)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)
% 0.20/0.51 % (32278)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)
% 0.20/0.51 TRYING [4]
% 0.20/0.52 % (32269)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.52 % (32259)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)
% 0.20/0.52 % (32260)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.52 % (32280)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.52 % (32283)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)
% 0.20/0.52 % (32256)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)
% 0.20/0.52 % (32257)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)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 % (32277)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.52 % (32270)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)
% 0.20/0.52 % (32271)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)
% 0.20/0.52 TRYING [3]
% 0.20/0.53 % (32258)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)
% 0.20/0.53 TRYING [4]
% 0.20/0.53 % (32279)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)
% 0.20/0.53 % (32267)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)
% 0.20/0.53 % (32268)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.53 % (32281)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.53 % (32284)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.53 % (32273)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.53 TRYING [5]
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (32285)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)
% 0.20/0.54 % (32282)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)
% 0.20/0.54 % (32275)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)
% 0.20/0.54 % (32276)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)
% 0.20/0.54 % (32263)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.54 % (32272)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)
% 1.55/0.55 % (32265)First to succeed.
% 1.55/0.55 % (32274)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.55/0.55 % (32263)Instruction limit reached!
% 1.55/0.55 % (32263)------------------------------
% 1.55/0.55 % (32263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.55 % (32263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.55 % (32263)Termination reason: Unknown
% 1.55/0.55 % (32263)Termination phase: Saturation
% 1.55/0.55
% 1.55/0.55 % (32263)Memory used [KB]: 5500
% 1.55/0.55 % (32263)Time elapsed: 0.089 s
% 1.55/0.55 % (32263)Instructions burned: 7 (million)
% 1.55/0.55 % (32263)------------------------------
% 1.55/0.55 % (32263)------------------------------
% 1.55/0.56 % (32262)Instruction limit reached!
% 1.55/0.56 % (32262)------------------------------
% 1.55/0.56 % (32262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56 % (32262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56 % (32262)Termination reason: Unknown
% 1.55/0.56 % (32262)Termination phase: Finite model building constraint generation
% 1.55/0.56
% 1.55/0.56 % (32262)Memory used [KB]: 7036
% 1.55/0.56 % (32262)Time elapsed: 0.128 s
% 1.55/0.56 % (32262)Instructions burned: 52 (million)
% 1.55/0.56 % (32262)------------------------------
% 1.55/0.56 % (32262)------------------------------
% 1.55/0.56 TRYING [5]
% 1.55/0.56 % (32265)Refutation found. Thanks to Tanya!
% 1.55/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.55/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.56 % (32265)------------------------------
% 1.55/0.56 % (32265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56 % (32265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56 % (32265)Termination reason: Refutation
% 1.55/0.56
% 1.55/0.56 % (32265)Memory used [KB]: 1151
% 1.55/0.56 % (32265)Time elapsed: 0.152 s
% 1.55/0.56 % (32265)Instructions burned: 15 (million)
% 1.55/0.56 % (32265)------------------------------
% 1.55/0.56 % (32265)------------------------------
% 1.55/0.56 % (32255)Success in time 0.209 s
%------------------------------------------------------------------------------