TSTP Solution File: GRP704+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP704+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : 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 16:23:53 EDT 2022
% Result : Theorem 1.54s 0.58s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 28 unt; 3 typ; 0 def)
% Number of atoms : 65 ( 64 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 57 ( 32 ~; 18 |; 6 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 54 ( 48 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_2,type,
sQ3_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_3,type,
sQ4_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_4,type,
sQ5_eqProxy: ( $real * $real ) > $o ).
fof(f312,plain,
$false,
inference(subsumption_resolution,[],[f311,f53]) ).
fof(f53,plain,
! [X0,X1] : mult(X1,mult(op_c,X0)) = mult(mult(X1,op_c),X0),
inference(literal_reordering,[],[f44]) ).
fof(f44,plain,
! [X0,X1] : mult(X1,mult(op_c,X0)) = mult(mult(X1,op_c),X0),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : mult(X1,mult(op_c,X0)) = mult(mult(X1,op_c),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
fof(f311,plain,
mult(sK1,mult(op_c,sK0)) != mult(mult(sK1,op_c),sK0),
inference(forward_demodulation,[],[f310,f136]) ).
fof(f136,plain,
op_c = op_f,
inference(forward_demodulation,[],[f135,f59]) ).
fof(f59,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(literal_reordering,[],[f41]) ).
fof(f41,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f135,plain,
! [X0] : op_f = mult(X0,ld(X0,op_c)),
inference(forward_demodulation,[],[f130,f56]) ).
fof(f56,plain,
! [X0] : mult(unit,X0) = X0,
inference(literal_reordering,[],[f42]) ).
fof(f42,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] : mult(unit,X0) = X0,
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1] : mult(unit,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f130,plain,
! [X0] : op_f = mult(X0,ld(mult(unit,X0),op_c)),
inference(superposition,[],[f50,f56]) ).
fof(f50,plain,
! [X0,X1] : op_f = mult(X0,mult(X1,ld(mult(X0,X1),op_c))),
inference(literal_reordering,[],[f40]) ).
fof(f40,plain,
! [X0,X1] : op_f = mult(X0,mult(X1,ld(mult(X0,X1),op_c))),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] : op_f = mult(X0,mult(X1,ld(mult(X0,X1),op_c))),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] : op_f = mult(X1,mult(X0,ld(mult(X1,X0),op_c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f13) ).
fof(f310,plain,
mult(mult(sK1,op_f),sK0) != mult(sK1,mult(op_f,sK0)),
inference(subsumption_resolution,[],[f309,f52]) ).
fof(f52,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
inference(literal_reordering,[],[f37]) ).
fof(f37,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] : mult(X1,mult(X0,op_c)) = mult(mult(X1,X0),op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
fof(f309,plain,
( mult(mult(sK1,sK0),op_c) != mult(sK1,mult(sK0,op_c))
| mult(mult(sK1,op_f),sK0) != mult(sK1,mult(op_f,sK0)) ),
inference(forward_demodulation,[],[f308,f136]) ).
fof(f308,plain,
( mult(mult(sK1,sK0),op_f) != mult(sK1,mult(sK0,op_f))
| mult(mult(sK1,op_f),sK0) != mult(sK1,mult(op_f,sK0)) ),
inference(subsumption_resolution,[],[f307,f51]) ).
fof(f51,plain,
! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(mult(op_c,X1),X0),
inference(literal_reordering,[],[f38]) ).
fof(f38,plain,
! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(mult(op_c,X1),X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(mult(op_c,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f307,plain,
( mult(mult(sK1,op_f),sK0) != mult(sK1,mult(op_f,sK0))
| mult(op_c,mult(sK1,sK0)) != mult(mult(op_c,sK1),sK0)
| mult(mult(sK1,sK0),op_f) != mult(sK1,mult(sK0,op_f)) ),
inference(forward_demodulation,[],[f58,f136]) ).
fof(f58,plain,
( mult(op_f,mult(sK1,sK0)) != mult(mult(op_f,sK1),sK0)
| mult(mult(sK1,sK0),op_f) != mult(sK1,mult(sK0,op_f))
| mult(mult(sK1,op_f),sK0) != mult(sK1,mult(op_f,sK0)) ),
inference(literal_reordering,[],[f35]) ).
fof(f35,plain,
( mult(mult(sK1,sK0),op_f) != mult(sK1,mult(sK0,op_f))
| mult(mult(sK1,op_f),sK0) != mult(sK1,mult(op_f,sK0))
| mult(op_f,mult(sK1,sK0)) != mult(mult(op_f,sK1),sK0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( mult(mult(sK1,sK0),op_f) != mult(sK1,mult(sK0,op_f))
| mult(op_f,mult(sK1,sK0)) != mult(mult(op_f,sK1),sK0)
| mult(mult(sK1,op_f),sK0) != mult(sK1,mult(op_f,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1] :
( mult(X1,mult(X0,op_f)) != mult(mult(X1,X0),op_f)
| mult(op_f,mult(X1,X0)) != mult(mult(op_f,X1),X0)
| mult(X1,mult(op_f,X0)) != mult(mult(X1,op_f),X0) )
=> ( mult(mult(sK1,sK0),op_f) != mult(sK1,mult(sK0,op_f))
| mult(op_f,mult(sK1,sK0)) != mult(mult(op_f,sK1),sK0)
| mult(mult(sK1,op_f),sK0) != mult(sK1,mult(op_f,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1] :
( mult(X1,mult(X0,op_f)) != mult(mult(X1,X0),op_f)
| mult(op_f,mult(X1,X0)) != mult(mult(op_f,X1),X0)
| mult(X1,mult(op_f,X0)) != mult(mult(X1,op_f),X0) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
? [X1,X0] :
( mult(mult(X0,X1),op_f) != mult(X0,mult(X1,op_f))
| mult(mult(op_f,X0),X1) != mult(op_f,mult(X0,X1))
| mult(mult(X0,op_f),X1) != mult(X0,mult(op_f,X1)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0,X1] :
( mult(mult(X0,op_f),X1) = mult(X0,mult(op_f,X1))
& mult(mult(X0,X1),op_f) = mult(X0,mult(X1,op_f))
& mult(mult(op_f,X0),X1) = mult(op_f,mult(X0,X1)) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X3,X4] :
( mult(op_f,mult(X3,X4)) = mult(mult(op_f,X3),X4)
& mult(X3,mult(X4,op_f)) = mult(mult(X3,X4),op_f)
& mult(X3,mult(op_f,X4)) = mult(mult(X3,op_f),X4) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X3,X4] :
( mult(op_f,mult(X3,X4)) = mult(mult(op_f,X3),X4)
& mult(X3,mult(X4,op_f)) = mult(mult(X3,X4),op_f)
& mult(X3,mult(op_f,X4)) = mult(mult(X3,op_f),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP704+1 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.12/0.34 % 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 22:48:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.54 % (5352)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 % (5350)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 % (5351)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 TRYING [1]
% 0.19/0.55 % (5351)Instruction limit reached!
% 0.19/0.55 % (5351)------------------------------
% 0.19/0.55 % (5351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (5366)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)
% 0.19/0.55 % (5367)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)
% 0.19/0.55 % (5358)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)
% 0.19/0.55 TRYING [2]
% 0.19/0.56 % (5359)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)
% 0.19/0.56 % (5351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (5351)Termination reason: Unknown
% 0.19/0.56 % (5351)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (5351)Memory used [KB]: 5500
% 0.19/0.56 % (5351)Time elapsed: 0.129 s
% 0.19/0.56 % (5351)Instructions burned: 7 (million)
% 0.19/0.56 % (5351)------------------------------
% 0.19/0.56 % (5351)------------------------------
% 0.19/0.56 % (5352)Instruction limit reached!
% 0.19/0.56 % (5352)------------------------------
% 0.19/0.56 % (5352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (5352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (5352)Termination reason: Unknown
% 0.19/0.56 % (5352)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (5352)Memory used [KB]: 5373
% 0.19/0.56 % (5352)Time elapsed: 0.004 s
% 0.19/0.56 % (5352)Instructions burned: 2 (million)
% 0.19/0.56 % (5352)------------------------------
% 0.19/0.56 % (5352)------------------------------
% 0.19/0.56 TRYING [3]
% 0.19/0.56 % (5360)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)
% 0.19/0.57 % (5358)First to succeed.
% 0.19/0.57 % (5368)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.54/0.58 % (5366)Also succeeded, but the first one will report.
% 1.54/0.58 % (5358)Refutation found. Thanks to Tanya!
% 1.54/0.58 % SZS status Theorem for theBenchmark
% 1.54/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.58 % (5358)------------------------------
% 1.54/0.58 % (5358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.58 % (5358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.58 % (5358)Termination reason: Refutation
% 1.54/0.58
% 1.54/0.58 % (5358)Memory used [KB]: 6012
% 1.54/0.58 % (5358)Time elapsed: 0.013 s
% 1.54/0.58 % (5358)Instructions burned: 12 (million)
% 1.54/0.58 % (5358)------------------------------
% 1.54/0.58 % (5358)------------------------------
% 1.54/0.58 % (5343)Success in time 0.233 s
%------------------------------------------------------------------------------