TSTP Solution File: GRP584-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP584-1 : 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 : n023.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 0.19s 0.59s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 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 : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1301,plain,
$false,
inference(trivial_inequality_removal,[],[f1197]) ).
fof(f1197,plain,
double_divide(identity,double_divide(a,b)) != double_divide(identity,double_divide(a,b)),
inference(backward_demodulation,[],[f705,f1103]) ).
fof(f1103,plain,
! [X24,X25] : double_divide(X24,X25) = double_divide(X25,X24),
inference(superposition,[],[f1068,f839]) ).
fof(f839,plain,
! [X4,X5] : double_divide(X4,double_divide(X5,X4)) = X5,
inference(forward_demodulation,[],[f838,f528]) ).
fof(f528,plain,
! [X2] : double_divide(identity,double_divide(identity,X2)) = X2,
inference(backward_demodulation,[],[f89,f478]) ).
fof(f478,plain,
! [X1] : double_divide(double_divide(X1,identity),identity) = X1,
inference(forward_demodulation,[],[f455,f17]) ).
fof(f17,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f16,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/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f16,plain,
double_divide(identity,identity) = double_divide(identity,double_divide(identity,identity)),
inference(forward_demodulation,[],[f13,f7]) ).
fof(f13,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,identity)),
inference(superposition,[],[f11,f7]) ).
fof(f11,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f455,plain,
! [X1] : double_divide(double_divide(X1,double_divide(identity,identity)),identity) = X1,
inference(superposition,[],[f45,f437]) ).
fof(f437,plain,
! [X4] : identity = double_divide(X4,double_divide(identity,X4)),
inference(forward_demodulation,[],[f436,f372]) ).
fof(f372,plain,
! [X2] : identity = double_divide(double_divide(X2,double_divide(identity,X2)),identity),
inference(superposition,[],[f353,f19]) ).
fof(f19,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),identity) = X2,
inference(backward_demodulation,[],[f1,f17]) ).
fof(f353,plain,
! [X0] : identity = double_divide(double_divide(double_divide(X0,identity),double_divide(identity,double_divide(X0,identity))),identity),
inference(forward_demodulation,[],[f322,f53]) ).
fof(f53,plain,
! [X1] : double_divide(double_divide(identity,X1),identity) = double_divide(identity,double_divide(X1,identity)),
inference(superposition,[],[f18,f36]) ).
fof(f36,plain,
! [X2] : double_divide(double_divide(identity,double_divide(identity,double_divide(X2,identity))),identity) = X2,
inference(superposition,[],[f19,f17]) ).
fof(f18,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity) = X0,
inference(backward_demodulation,[],[f11,f17]) ).
fof(f322,plain,
! [X0] : identity = double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X0),identity)),identity),
inference(superposition,[],[f35,f17]) ).
fof(f35,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X0),double_divide(X1,identity))),identity) = X1,
inference(superposition,[],[f19,f7]) ).
fof(f436,plain,
! [X4,X5] : double_divide(X4,double_divide(identity,X4)) = double_divide(double_divide(double_divide(X5,identity),double_divide(identity,double_divide(X5,identity))),identity),
inference(forward_demodulation,[],[f422,f53]) ).
fof(f422,plain,
! [X4,X5] : double_divide(X4,double_divide(identity,X4)) = double_divide(double_divide(double_divide(X5,identity),double_divide(double_divide(identity,X5),identity)),identity),
inference(superposition,[],[f35,f372]) ).
fof(f45,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,double_divide(identity,X0)))),identity) = X1,
inference(forward_demodulation,[],[f33,f17]) ).
fof(f33,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,double_divide(double_divide(identity,identity),X0)))),identity) = X1,
inference(superposition,[],[f19,f7]) ).
fof(f89,plain,
! [X2] : double_divide(identity,double_divide(identity,double_divide(double_divide(X2,identity),identity))) = X2,
inference(forward_demodulation,[],[f82,f53]) ).
fof(f82,plain,
! [X2] : double_divide(identity,double_divide(double_divide(identity,double_divide(X2,identity)),identity)) = X2,
inference(superposition,[],[f53,f36]) ).
fof(f838,plain,
! [X4,X5] : double_divide(X4,double_divide(X5,double_divide(identity,double_divide(identity,X4)))) = X5,
inference(forward_demodulation,[],[f802,f529]) ).
fof(f529,plain,
! [X1] : double_divide(identity,X1) = double_divide(X1,identity),
inference(backward_demodulation,[],[f73,f478]) ).
fof(f73,plain,
! [X1] : double_divide(identity,X1) = double_divide(double_divide(double_divide(X1,identity),identity),identity),
inference(forward_demodulation,[],[f72,f17]) ).
fof(f72,plain,
! [X1] : double_divide(identity,X1) = double_divide(double_divide(double_divide(X1,identity),double_divide(identity,identity)),identity),
inference(forward_demodulation,[],[f69,f17]) ).
fof(f69,plain,
! [X1] : double_divide(identity,X1) = double_divide(double_divide(double_divide(X1,identity),double_divide(double_divide(identity,identity),identity)),identity),
inference(superposition,[],[f19,f52]) ).
fof(f52,plain,
! [X0] : identity = double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,identity))),
inference(superposition,[],[f23,f36]) ).
fof(f23,plain,
! [X0] : identity = double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),X0),
inference(superposition,[],[f7,f18]) ).
fof(f802,plain,
! [X4,X5] : double_divide(X4,double_divide(X5,double_divide(double_divide(identity,X4),identity))) = X5,
inference(superposition,[],[f685,f528]) ).
fof(f685,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,identity))) = X1,
inference(superposition,[],[f654,f19]) ).
fof(f654,plain,
! [X1] : double_divide(double_divide(identity,X1),identity) = X1,
inference(backward_demodulation,[],[f53,f598]) ).
fof(f598,plain,
! [X12] : double_divide(identity,double_divide(X12,identity)) = X12,
inference(superposition,[],[f528,f529]) ).
fof(f1068,plain,
! [X19,X20] : double_divide(X19,double_divide(X19,X20)) = X20,
inference(forward_demodulation,[],[f1058,f654]) ).
fof(f1058,plain,
! [X19,X20] : double_divide(double_divide(identity,X20),identity) = double_divide(X19,double_divide(X19,X20)),
inference(superposition,[],[f478,f966]) ).
fof(f966,plain,
! [X16,X17] : double_divide(double_divide(X17,double_divide(X17,X16)),identity) = double_divide(identity,X16),
inference(superposition,[],[f702,f654]) ).
fof(f702,plain,
! [X4,X5] : double_divide(double_divide(X4,double_divide(X4,double_divide(X5,identity))),identity) = X5,
inference(forward_demodulation,[],[f693,f528]) ).
fof(f693,plain,
! [X4,X5] : double_divide(double_divide(X4,double_divide(double_divide(identity,double_divide(identity,X4)),double_divide(X5,identity))),identity) = X5,
inference(superposition,[],[f35,f654]) ).
fof(f705,plain,
double_divide(identity,double_divide(b,a)) != double_divide(identity,double_divide(a,b)),
inference(superposition,[],[f583,f529]) ).
fof(f583,plain,
double_divide(double_divide(b,a),identity) != double_divide(identity,double_divide(a,b)),
inference(backward_demodulation,[],[f6,f529]) ).
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/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP584-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:54:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.53 % (3739)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (3737)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)
% 0.19/0.53 % (3731)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)
% 0.19/0.53 % (3720)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)
% 0.19/0.53 % (3729)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)
% 0.19/0.53 % (3723)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (3723)Instruction limit reached!
% 0.19/0.54 % (3723)------------------------------
% 0.19/0.54 % (3723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (3723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (3723)Termination reason: Unknown
% 0.19/0.54 % (3723)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (3723)Memory used [KB]: 5373
% 0.19/0.54 % (3723)Time elapsed: 0.110 s
% 0.19/0.54 % (3723)Instructions burned: 2 (million)
% 0.19/0.54 % (3723)------------------------------
% 0.19/0.54 % (3723)------------------------------
% 0.19/0.54 % (3721)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)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 TRYING [3]
% 0.19/0.54 TRYING [4]
% 0.19/0.55 % (3740)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55 % (3726)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)
% 0.19/0.55 % (3727)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.56 % (3744)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)
% 0.19/0.56 % (3725)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56 % (3732)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56 % (3738)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)
% 0.19/0.56 % (3715)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)
% 0.19/0.56 % (3728)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56 % (3716)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)
% 0.19/0.57 % (3733)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.57 % (3724)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)
% 0.19/0.57 % (3736)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.57 % (3730)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)
% 0.19/0.57 % (3742)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)
% 0.19/0.57 TRYING [1]
% 0.19/0.57 % (3718)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)
% 0.19/0.57 % (3734)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)
% 0.19/0.57 % (3743)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.57 % (3741)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)
% 0.19/0.57 TRYING [1]
% 0.19/0.57 TRYING [2]
% 0.19/0.57 % (3719)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57 % (3735)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)
% 0.19/0.57 % (3717)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)
% 0.19/0.58 % (3722)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.58 % (3722)Instruction limit reached!
% 0.19/0.58 % (3722)------------------------------
% 0.19/0.58 % (3722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 TRYING [2]
% 0.19/0.58 TRYING [3]
% 0.19/0.58 TRYING [3]
% 0.19/0.58 TRYING [4]
% 0.19/0.58 TRYING [4]
% 0.19/0.58 TRYING [5]
% 0.19/0.59 % (3721)Instruction limit reached!
% 0.19/0.59 % (3721)------------------------------
% 0.19/0.59 % (3721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (3731)First to succeed.
% 0.19/0.59 % (3722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (3722)Termination reason: Unknown
% 0.19/0.59 % (3722)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (3722)Memory used [KB]: 5500
% 0.19/0.59 % (3722)Time elapsed: 0.178 s
% 0.19/0.59 % (3722)Instructions burned: 7 (million)
% 0.19/0.59 % (3722)------------------------------
% 0.19/0.59 % (3722)------------------------------
% 0.19/0.59 % (3731)Refutation found. Thanks to Tanya!
% 0.19/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.59 % (3731)------------------------------
% 0.19/0.59 % (3731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (3731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (3731)Termination reason: Refutation
% 0.19/0.59
% 0.19/0.59 % (3731)Memory used [KB]: 6140
% 0.19/0.59 % (3731)Time elapsed: 0.166 s
% 0.19/0.59 % (3731)Instructions burned: 58 (million)
% 0.19/0.59 % (3731)------------------------------
% 0.19/0.59 % (3731)------------------------------
% 0.19/0.59 % (3714)Success in time 0.235 s
%------------------------------------------------------------------------------