TSTP Solution File: GRP009-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP009-1 : TPTP v8.1.0. Released v1.0.0.
% 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 16:18:54 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 41 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 17 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f255,plain,
$false,
inference(subsumption_resolution,[],[f254,f11]) ).
fof(f11,axiom,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_equals_c) ).
fof(f254,plain,
a = c,
inference(resolution,[],[f246,f136]) ).
fof(f136,plain,
product(b,a,identity),
inference(superposition,[],[f4,f126]) ).
fof(f126,plain,
a = inverse(b),
inference(resolution,[],[f125,f19]) ).
fof(f19,plain,
! [X8,X7] :
( ~ product(X7,identity,X8)
| X7 = X8 ),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
fof(f125,plain,
product(a,identity,inverse(b)),
inference(resolution,[],[f117,f4]) ).
fof(f117,plain,
! [X0,X1] :
( ~ product(b,X1,X0)
| product(a,X0,X1) ),
inference(resolution,[],[f115,f78]) ).
fof(f78,plain,
! [X2,X0,X1] :
( sP0(identity,X0,X1,X2)
| ~ product(X2,X0,X1) ),
inference(resolution,[],[f12,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f12,plain,
! [X2,X3,X1,X4,X5] :
( sP0(X4,X3,X5,X1)
| ~ product(X1,X2,X5)
| ~ product(X4,X2,X3) ),
inference(cnf_transformation,[],[f12_D]) ).
fof(f12_D,plain,
! [X1,X5,X3,X4] :
( ! [X2] :
( ~ product(X1,X2,X5)
| ~ product(X4,X2,X3) )
<=> ~ sP0(X4,X3,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f115,plain,
! [X24,X23] :
( ~ sP0(identity,X24,X23,b)
| product(a,X23,X24) ),
inference(resolution,[],[f13,f9]) ).
fof(f9,axiom,
product(a,b,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_an_inverse_of_b) ).
fof(f13,plain,
! [X3,X0,X1,X4,X5] :
( product(X0,X5,X3)
| ~ sP0(X4,X3,X5,X1)
| ~ product(X0,X1,X4) ),
inference(general_splitting,[],[f7,f12_D]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X4,X2,X3)
| product(X0,X5,X3)
| ~ product(X1,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f246,plain,
! [X33] :
( ~ product(b,X33,identity)
| c = X33 ),
inference(resolution,[],[f230,f19]) ).
fof(f230,plain,
! [X0,X1] :
( product(c,X0,X1)
| ~ product(b,X1,X0) ),
inference(resolution,[],[f116,f78]) ).
fof(f116,plain,
! [X26,X25] :
( ~ sP0(identity,X26,X25,b)
| product(c,X25,X26) ),
inference(resolution,[],[f13,f10]) ).
fof(f10,axiom,
product(c,b,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_an_inverse_of_b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % 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 : n019.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 22:10:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % (8719)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)
% 0.19/0.48 % (8715)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)
% 0.19/0.49 % (8711)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)
% 0.19/0.50 % (8727)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.50 % (8716)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)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.50 % (8735)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.50 % (8711)Refutation not found, incomplete strategy% (8711)------------------------------
% 0.19/0.50 % (8711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 TRYING [4]
% 0.19/0.50 % (8724)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)
% 0.19/0.50 % (8711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (8711)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (8711)Memory used [KB]: 5373
% 0.19/0.50 % (8711)Time elapsed: 0.110 s
% 0.19/0.50 % (8711)Instructions burned: 3 (million)
% 0.19/0.50 % (8711)------------------------------
% 0.19/0.50 % (8711)------------------------------
% 0.19/0.51 % (8710)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (8712)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)
% 0.19/0.51 TRYING [3]
% 0.19/0.51 TRYING [4]
% 0.19/0.51 % (8726)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)
% 0.19/0.51 % (8728)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (8720)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (8715)First to succeed.
% 0.19/0.51 % (8721)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)
% 0.19/0.51 % (8715)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (8715)------------------------------
% 0.19/0.51 % (8715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (8715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (8715)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (8715)Memory used [KB]: 5500
% 0.19/0.51 % (8715)Time elapsed: 0.100 s
% 0.19/0.51 % (8715)Instructions burned: 10 (million)
% 0.19/0.51 % (8715)------------------------------
% 0.19/0.51 % (8715)------------------------------
% 0.19/0.51 % (8706)Success in time 0.168 s
%------------------------------------------------------------------------------