TSTP Solution File: GRP576-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP576-1 : 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 : n022.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 16:22:54 EDT 2022
% Result : Unsatisfiable 1.26s 0.53s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 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 : 8 ( 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 : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f128,plain,
$false,
inference(trivial_inequality_removal,[],[f127]) ).
fof(f127,plain,
double_divide(identity,double_divide(a,b)) != double_divide(identity,double_divide(a,b)),
inference(backward_demodulation,[],[f90,f123]) ).
fof(f123,plain,
! [X6,X5] : double_divide(X5,X6) = double_divide(X6,X5),
inference(forward_demodulation,[],[f122,f85]) ).
fof(f85,plain,
! [X3] : double_divide(identity,double_divide(X3,identity)) = X3,
inference(backward_demodulation,[],[f72,f78]) ).
fof(f78,plain,
! [X4] : double_divide(X4,identity) = double_divide(identity,double_divide(identity,double_divide(X4,identity))),
inference(forward_demodulation,[],[f63,f34]) ).
fof(f34,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,X0)),identity) = double_divide(identity,double_divide(identity,double_divide(X0,identity))),
inference(superposition,[],[f25,f25]) ).
fof(f25,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0,
inference(backward_demodulation,[],[f10,f23]) ).
fof(f23,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f21,f13]) ).
fof(f13,plain,
! [X0] : identity = double_divide(double_divide(double_divide(X0,identity),X0),double_divide(identity,identity)),
inference(superposition,[],[f1,f10]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f21,plain,
double_divide(identity,identity) = double_divide(double_divide(double_divide(identity,identity),identity),double_divide(identity,identity)),
inference(superposition,[],[f8,f13]) ).
fof(f8,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),double_divide(X0,identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,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(f10,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f63,plain,
! [X4] : double_divide(X4,identity) = double_divide(double_divide(identity,double_divide(identity,X4)),identity),
inference(superposition,[],[f30,f50]) ).
fof(f50,plain,
! [X0] : identity = double_divide(double_divide(X0,identity),X0),
inference(forward_demodulation,[],[f49,f23]) ).
fof(f49,plain,
! [X0] : double_divide(identity,identity) = double_divide(double_divide(X0,identity),X0),
inference(forward_demodulation,[],[f46,f7]) ).
fof(f46,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,identity))) = double_divide(double_divide(X0,identity),X0),
inference(superposition,[],[f40,f27]) ).
fof(f27,plain,
! [X0] : identity = double_divide(double_divide(double_divide(X0,identity),X0),identity),
inference(backward_demodulation,[],[f13,f23]) ).
fof(f40,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),identity))) = X0,
inference(backward_demodulation,[],[f25,f34]) ).
fof(f30,plain,
! [X2,X3] : double_divide(double_divide(identity,double_divide(double_divide(X3,X2),X2)),identity) = X3,
inference(backward_demodulation,[],[f29,f25]) ).
fof(f29,plain,
! [X2,X3] : double_divide(double_divide(identity,double_divide(double_divide(X3,X2),double_divide(double_divide(identity,double_divide(identity,double_divide(X2,identity))),identity))),identity) = X3,
inference(backward_demodulation,[],[f15,f23]) ).
fof(f15,plain,
! [X2,X3] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(X3,X2),double_divide(double_divide(identity,double_divide(identity,double_divide(X2,identity))),identity))),double_divide(identity,identity)) = X3,
inference(superposition,[],[f1,f10]) ).
fof(f72,plain,
! [X3] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X3,identity)))) = X3,
inference(forward_demodulation,[],[f71,f66]) ).
fof(f66,plain,
! [X2,X3] : double_divide(identity,double_divide(identity,double_divide(X2,identity))) = double_divide(identity,double_divide(double_divide(X2,X3),X3)),
inference(superposition,[],[f40,f30]) ).
fof(f71,plain,
! [X3] : double_divide(identity,double_divide(identity,double_divide(double_divide(X3,identity),identity))) = X3,
inference(forward_demodulation,[],[f69,f34]) ).
fof(f69,plain,
! [X3] : double_divide(double_divide(identity,double_divide(identity,double_divide(X3,identity))),identity) = X3,
inference(backward_demodulation,[],[f30,f66]) ).
fof(f122,plain,
! [X6,X5] : double_divide(X6,double_divide(identity,double_divide(X5,identity))) = double_divide(X5,X6),
inference(forward_demodulation,[],[f121,f85]) ).
fof(f121,plain,
! [X6,X5] : double_divide(X6,double_divide(identity,double_divide(X5,identity))) = double_divide(identity,double_divide(double_divide(X5,X6),identity)),
inference(forward_demodulation,[],[f116,f86]) ).
fof(f86,plain,
! [X4] : double_divide(X4,identity) = double_divide(identity,X4),
inference(backward_demodulation,[],[f78,f85]) ).
fof(f116,plain,
! [X6,X5] : double_divide(X6,double_divide(identity,double_divide(X5,identity))) = double_divide(double_divide(double_divide(X5,X6),identity),identity),
inference(superposition,[],[f79,f50]) ).
fof(f79,plain,
! [X2,X3,X1] : double_divide(X2,identity) = double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X1)),double_divide(X3,identity))),
inference(backward_demodulation,[],[f16,f78]) ).
fof(f16,plain,
! [X2,X3,X1] : double_divide(identity,double_divide(identity,double_divide(X2,identity))) = double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X1)),double_divide(X3,identity))),
inference(backward_demodulation,[],[f11,f14]) ).
fof(f14,plain,
! [X1] : double_divide(identity,double_divide(identity,double_divide(X1,identity))) = double_divide(double_divide(identity,double_divide(X1,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f10]) ).
fof(f11,plain,
! [X2,X3,X1] : double_divide(double_divide(identity,double_divide(X2,double_divide(identity,identity))),double_divide(identity,identity)) = double_divide(X1,double_divide(double_divide(X2,double_divide(X3,X1)),double_divide(X3,identity))),
inference(superposition,[],[f1,f1]) ).
fof(f90,plain,
double_divide(identity,double_divide(a,b)) != double_divide(identity,double_divide(b,a)),
inference(forward_demodulation,[],[f89,f86]) ).
fof(f89,plain,
double_divide(double_divide(b,a),identity) != double_divide(identity,double_divide(a,b)),
inference(backward_demodulation,[],[f6,f86]) ).
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
% 0.07/0.12 % Problem : GRP576-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:34:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (20737)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)
% 0.19/0.49 TRYING [1]
% 0.19/0.49 TRYING [2]
% 0.19/0.49 TRYING [3]
% 0.19/0.49 % (20732)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)
% 0.19/0.49 TRYING [4]
% 0.19/0.49 % (20753)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)
% 0.19/0.50 % (20745)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)
% 0.19/0.50 % (20739)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.50 % (20739)Instruction limit reached!
% 0.19/0.50 % (20739)------------------------------
% 0.19/0.50 % (20739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (20739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (20739)Termination reason: Unknown
% 0.19/0.50 % (20739)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (20739)Memory used [KB]: 5373
% 0.19/0.50 % (20739)Time elapsed: 0.107 s
% 0.19/0.50 % (20739)Instructions burned: 2 (million)
% 0.19/0.50 % (20739)------------------------------
% 0.19/0.50 % (20739)------------------------------
% 1.26/0.51 % (20750)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)
% 1.26/0.51 % (20734)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)
% 1.26/0.51 % (20740)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)
% 1.26/0.51 % (20754)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)
% 1.26/0.52 % (20746)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)
% 1.26/0.52 % (20735)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.26/0.52 % (20731)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)
% 1.26/0.52 % (20759)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.26/0.52 % (20744)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.26/0.52 TRYING [1]
% 1.26/0.52 TRYING [2]
% 1.26/0.52 TRYING [3]
% 1.26/0.52 % (20733)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)
% 1.26/0.52 % (20736)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)
% 1.26/0.52 TRYING [5]
% 1.26/0.52 TRYING [4]
% 1.26/0.53 % (20758)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)
% 1.26/0.53 % (20741)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.26/0.53 % (20754)First to succeed.
% 1.26/0.53 % (20737)Instruction limit reached!
% 1.26/0.53 % (20737)------------------------------
% 1.26/0.53 % (20737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.53 % (20754)Refutation found. Thanks to Tanya!
% 1.26/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.26/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.53 % (20754)------------------------------
% 1.26/0.53 % (20754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.53 % (20754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.53 % (20754)Termination reason: Refutation
% 1.26/0.53
% 1.26/0.53 % (20754)Memory used [KB]: 5500
% 1.26/0.53 % (20754)Time elapsed: 0.079 s
% 1.26/0.53 % (20754)Instructions burned: 7 (million)
% 1.26/0.53 % (20754)------------------------------
% 1.26/0.53 % (20754)------------------------------
% 1.26/0.53 % (20730)Success in time 0.18 s
%------------------------------------------------------------------------------