TSTP Solution File: GRP012+5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP012+5 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.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 : Sun May 5 05:44:15 EDT 2024
% Result : Theorem 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 32 ( 7 avg)
% Number of connectives : 202 ( 54 ~; 42 |; 91 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 230 ( 193 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f537,plain,
$false,
inference(subsumption_resolution,[],[f514,f265]) ).
fof(f265,plain,
~ product(sK4,sK0,inverse(sK3)),
inference(unit_resulting_resolution,[],[f16,f15,f20,f13]) ).
fof(f13,plain,
! [X10,X11,X9,X14,X12,X13] :
( product(X12,X11,X14)
| ~ product(X9,X13,X14)
| ~ product(X10,X11,X13)
| ~ product(X9,X10,X12) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
( ~ product(inverse(sK3),inverse(sK4),sK0)
& product(sK2,sK1,sK4)
& product(inverse(sK1),inverse(sK2),sK3)
& ! [X5] : product(inverse(X5),X5,sK0)
& ! [X6] : product(X6,inverse(X6),sK0)
& ! [X7] : product(sK0,X7,X7)
& ! [X8] : product(X8,sK0,X8)
& ! [X9,X10,X11,X12,X13,X14] :
( product(X12,X11,X14)
| ~ product(X9,X13,X14)
| ~ product(X10,X11,X13)
| ~ product(X9,X10,X12) )
& ! [X15,X16,X17,X18,X19,X20] :
( product(X15,X19,X20)
| ~ product(X18,X17,X20)
| ~ product(X16,X17,X19)
| ~ product(X15,X16,X18) )
& ! [X21,X22] : product(X21,X22,sK5(X21,X22)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f6,f9,f8,f7]) ).
fof(f7,plain,
( ? [X0] :
( ? [X1,X2,X3,X4] :
( ~ product(inverse(X3),inverse(X4),X0)
& product(X2,X1,X4)
& product(inverse(X1),inverse(X2),X3) )
& ! [X5] : product(inverse(X5),X5,X0)
& ! [X6] : product(X6,inverse(X6),X0)
& ! [X7] : product(X0,X7,X7)
& ! [X8] : product(X8,X0,X8)
& ! [X9,X10,X11,X12,X13,X14] :
( product(X12,X11,X14)
| ~ product(X9,X13,X14)
| ~ product(X10,X11,X13)
| ~ product(X9,X10,X12) )
& ! [X15,X16,X17,X18,X19,X20] :
( product(X15,X19,X20)
| ~ product(X18,X17,X20)
| ~ product(X16,X17,X19)
| ~ product(X15,X16,X18) )
& ! [X21,X22] :
? [X23] : product(X21,X22,X23) )
=> ( ? [X4,X3,X2,X1] :
( ~ product(inverse(X3),inverse(X4),sK0)
& product(X2,X1,X4)
& product(inverse(X1),inverse(X2),X3) )
& ! [X5] : product(inverse(X5),X5,sK0)
& ! [X6] : product(X6,inverse(X6),sK0)
& ! [X7] : product(sK0,X7,X7)
& ! [X8] : product(X8,sK0,X8)
& ! [X9,X10,X11,X12,X13,X14] :
( product(X12,X11,X14)
| ~ product(X9,X13,X14)
| ~ product(X10,X11,X13)
| ~ product(X9,X10,X12) )
& ! [X15,X16,X17,X18,X19,X20] :
( product(X15,X19,X20)
| ~ product(X18,X17,X20)
| ~ product(X16,X17,X19)
| ~ product(X15,X16,X18) )
& ! [X21,X22] :
? [X23] : product(X21,X22,X23) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X4,X3,X2,X1] :
( ~ product(inverse(X3),inverse(X4),sK0)
& product(X2,X1,X4)
& product(inverse(X1),inverse(X2),X3) )
=> ( ~ product(inverse(sK3),inverse(sK4),sK0)
& product(sK2,sK1,sK4)
& product(inverse(sK1),inverse(sK2),sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X21,X22] :
( ? [X23] : product(X21,X22,X23)
=> product(X21,X22,sK5(X21,X22)) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0] :
( ? [X1,X2,X3,X4] :
( ~ product(inverse(X3),inverse(X4),X0)
& product(X2,X1,X4)
& product(inverse(X1),inverse(X2),X3) )
& ! [X5] : product(inverse(X5),X5,X0)
& ! [X6] : product(X6,inverse(X6),X0)
& ! [X7] : product(X0,X7,X7)
& ! [X8] : product(X8,X0,X8)
& ! [X9,X10,X11,X12,X13,X14] :
( product(X12,X11,X14)
| ~ product(X9,X13,X14)
| ~ product(X10,X11,X13)
| ~ product(X9,X10,X12) )
& ! [X15,X16,X17,X18,X19,X20] :
( product(X15,X19,X20)
| ~ product(X18,X17,X20)
| ~ product(X16,X17,X19)
| ~ product(X15,X16,X18) )
& ! [X21,X22] :
? [X23] : product(X21,X22,X23) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
? [X0] :
( ? [X20,X21,X22,X23] :
( ~ product(inverse(X22),inverse(X23),X0)
& product(X21,X20,X23)
& product(inverse(X20),inverse(X21),X22) )
& ! [X1] : product(inverse(X1),X1,X0)
& ! [X2] : product(X2,inverse(X2),X0)
& ! [X3] : product(X0,X3,X3)
& ! [X4] : product(X4,X0,X4)
& ! [X5,X6,X7,X8,X9,X10] :
( product(X8,X7,X10)
| ~ product(X5,X9,X10)
| ~ product(X6,X7,X9)
| ~ product(X5,X6,X8) )
& ! [X11,X12,X13,X14,X15,X16] :
( product(X11,X15,X16)
| ~ product(X14,X13,X16)
| ~ product(X12,X13,X15)
| ~ product(X11,X12,X14) )
& ! [X17,X18] :
? [X19] : product(X17,X18,X19) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
? [X0] :
( ? [X20,X21,X22,X23] :
( ~ product(inverse(X22),inverse(X23),X0)
& product(X21,X20,X23)
& product(inverse(X20),inverse(X21),X22) )
& ! [X1] : product(inverse(X1),X1,X0)
& ! [X2] : product(X2,inverse(X2),X0)
& ! [X3] : product(X0,X3,X3)
& ! [X4] : product(X4,X0,X4)
& ! [X5,X6,X7,X8,X9,X10] :
( product(X8,X7,X10)
| ~ product(X5,X9,X10)
| ~ product(X6,X7,X9)
| ~ product(X5,X6,X8) )
& ! [X11,X12,X13,X14,X15,X16] :
( product(X11,X15,X16)
| ~ product(X14,X13,X16)
| ~ product(X12,X13,X15)
| ~ product(X11,X12,X14) )
& ! [X17,X18] :
? [X19] : product(X17,X18,X19) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X0] :
( ( ! [X1] : product(inverse(X1),X1,X0)
& ! [X2] : product(X2,inverse(X2),X0)
& ! [X3] : product(X0,X3,X3)
& ! [X4] : product(X4,X0,X4)
& ! [X5,X6,X7,X8,X9,X10] :
( ( product(X5,X9,X10)
& product(X6,X7,X9)
& product(X5,X6,X8) )
=> product(X8,X7,X10) )
& ! [X11,X12,X13,X14,X15,X16] :
( ( product(X14,X13,X16)
& product(X12,X13,X15)
& product(X11,X12,X14) )
=> product(X11,X15,X16) )
& ! [X17,X18] :
? [X19] : product(X17,X18,X19) )
=> ! [X20,X21,X22,X23] :
( ( product(X21,X20,X23)
& product(inverse(X20),inverse(X21),X22) )
=> product(inverse(X22),inverse(X23),X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ! [X1] : product(inverse(X1),X1,X0)
& ! [X1] : product(X1,inverse(X1),X0)
& ! [X1] : product(X0,X1,X1)
& ! [X1] : product(X1,X0,X1)
& ! [X1,X2,X3,X4,X5,X6] :
( ( product(X1,X5,X6)
& product(X2,X3,X5)
& product(X1,X2,X4) )
=> product(X4,X3,X6) )
& ! [X1,X2,X3,X4,X5,X6] :
( ( product(X4,X3,X6)
& product(X2,X3,X5)
& product(X1,X2,X4) )
=> product(X1,X5,X6) )
& ! [X1,X2] :
? [X3] : product(X1,X2,X3) )
=> ! [X4,X5,X6,X1] :
( ( product(X5,X4,X1)
& product(inverse(X4),inverse(X5),X6) )
=> product(inverse(X6),inverse(X1),X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( ! [X1] : product(inverse(X1),X1,X0)
& ! [X1] : product(X1,inverse(X1),X0)
& ! [X1] : product(X0,X1,X1)
& ! [X1] : product(X1,X0,X1)
& ! [X1,X2,X3,X4,X5,X6] :
( ( product(X1,X5,X6)
& product(X2,X3,X5)
& product(X1,X2,X4) )
=> product(X4,X3,X6) )
& ! [X1,X2,X3,X4,X5,X6] :
( ( product(X4,X3,X6)
& product(X2,X3,X5)
& product(X1,X2,X4) )
=> product(X1,X5,X6) )
& ! [X1,X2] :
? [X3] : product(X1,X2,X3) )
=> ! [X4,X5,X6,X1] :
( ( product(X5,X4,X1)
& product(inverse(X4),inverse(X5),X6) )
=> product(inverse(X6),inverse(X1),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.gP13hHPhDd/Vampire---4.8_4151',prove_distribution) ).
fof(f20,plain,
~ product(inverse(sK3),inverse(sK4),sK0),
inference(cnf_transformation,[],[f10]) ).
fof(f15,plain,
! [X7] : product(sK0,X7,X7),
inference(cnf_transformation,[],[f10]) ).
fof(f16,plain,
! [X6] : product(X6,inverse(X6),sK0),
inference(cnf_transformation,[],[f10]) ).
fof(f514,plain,
product(sK4,sK0,inverse(sK3)),
inference(unit_resulting_resolution,[],[f16,f15,f284,f12]) ).
fof(f12,plain,
! [X18,X19,X16,X17,X15,X20] :
( product(X15,X19,X20)
| ~ product(X18,X17,X20)
| ~ product(X16,X17,X19)
| ~ product(X15,X16,X18) ),
inference(cnf_transformation,[],[f10]) ).
fof(f284,plain,
product(sK4,sK3,sK0),
inference(unit_resulting_resolution,[],[f19,f16,f46,f13]) ).
fof(f46,plain,
product(sK1,sK3,inverse(sK2)),
inference(unit_resulting_resolution,[],[f18,f16,f15,f12]) ).
fof(f18,plain,
product(inverse(sK1),inverse(sK2),sK3),
inference(cnf_transformation,[],[f10]) ).
fof(f19,plain,
product(sK2,sK1,sK4),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP012+5 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:54:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.gP13hHPhDd/Vampire---4.8_4151
% 0.59/0.75 % (4269)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.76 % (4262)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.76 % (4264)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76 % (4265)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.76 % (4263)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.76 % (4266)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.76 % (4267)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.76 % (4268)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.59/0.76 % (4265)First to succeed.
% 0.59/0.77 % (4265)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4261"
% 0.59/0.77 % (4265)Refutation found. Thanks to Tanya!
% 0.59/0.77 % SZS status Theorem for Vampire---4
% 0.59/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77 % (4265)------------------------------
% 0.59/0.77 % (4265)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (4265)Termination reason: Refutation
% 0.59/0.77
% 0.59/0.77 % (4265)Memory used [KB]: 1122
% 0.59/0.77 % (4265)Time elapsed: 0.011 s
% 0.59/0.77 % (4265)Instructions burned: 18 (million)
% 0.59/0.77 % (4261)Success in time 0.391 s
% 0.59/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------