TSTP Solution File: GRP702+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP702+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n004.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 May 1 02:32:24 EDT 2024
% Result : Theorem 0.64s 0.81s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 16 unt; 0 def)
% Number of atoms : 67 ( 45 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 57 ( 26 ~; 21 |; 6 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 25 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,plain,
$false,
inference(avatar_sat_refutation,[],[f46,f52,f55,f59]) ).
fof(f59,plain,
spl2_3,
inference(avatar_contradiction_clause,[],[f58]) ).
fof(f58,plain,
( $false
| spl2_3 ),
inference(subsumption_resolution,[],[f57,f29]) ).
fof(f29,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/tmp/tmp.Zxfc5ebGig/Vampire---4.8_17475',f10) ).
fof(f57,plain,
( mult(sK0,mult(op_c,sK1)) != mult(mult(sK0,op_c),sK1)
| spl2_3 ),
inference(forward_demodulation,[],[f45,f47]) ).
fof(f47,plain,
op_c = op_d,
inference(superposition,[],[f26,f24]) ).
fof(f24,plain,
! [X0] : op_d = ld(X0,mult(op_c,X0)),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] : op_d = ld(X0,mult(op_c,X0)),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1] : op_d = ld(X1,mult(op_c,X1)),
file('/export/starexec/sandbox2/tmp/tmp.Zxfc5ebGig/Vampire---4.8_17475',f11) ).
fof(f26,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.Zxfc5ebGig/Vampire---4.8_17475',f02) ).
fof(f45,plain,
( mult(sK0,mult(op_d,sK1)) != mult(mult(sK0,op_d),sK1)
| spl2_3 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl2_3
<=> mult(sK0,mult(op_d,sK1)) = mult(mult(sK0,op_d),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f55,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f54]) ).
fof(f54,plain,
( $false
| spl2_2 ),
inference(subsumption_resolution,[],[f53,f30]) ).
fof(f30,plain,
! [X0,X1] : mult(X1,mult(X0,op_c)) = mult(mult(X1,X0),op_c),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : mult(X1,mult(X0,op_c)) = mult(mult(X1,X0),op_c),
file('/export/starexec/sandbox2/tmp/tmp.Zxfc5ebGig/Vampire---4.8_17475',f09) ).
fof(f53,plain,
( mult(sK0,mult(sK1,op_c)) != mult(mult(sK0,sK1),op_c)
| spl2_2 ),
inference(forward_demodulation,[],[f41,f47]) ).
fof(f41,plain,
( mult(sK0,mult(sK1,op_d)) != mult(mult(sK0,sK1),op_d)
| spl2_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl2_2
<=> mult(sK0,mult(sK1,op_d)) = mult(mult(sK0,sK1),op_d) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f52,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f51]) ).
fof(f51,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f49,f31]) ).
fof(f31,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/tmp/tmp.Zxfc5ebGig/Vampire---4.8_17475',f08) ).
fof(f49,plain,
( mult(op_c,mult(sK0,sK1)) != mult(mult(op_c,sK0),sK1)
| spl2_1 ),
inference(backward_demodulation,[],[f37,f47]) ).
fof(f37,plain,
( mult(op_d,mult(sK0,sK1)) != mult(mult(op_d,sK0),sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl2_1
<=> mult(op_d,mult(sK0,sK1)) = mult(mult(op_d,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f46,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f22,f43,f39,f35]) ).
fof(f22,plain,
( mult(sK0,mult(op_d,sK1)) != mult(mult(sK0,op_d),sK1)
| mult(sK0,mult(sK1,op_d)) != mult(mult(sK0,sK1),op_d)
| mult(op_d,mult(sK0,sK1)) != mult(mult(op_d,sK0),sK1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( mult(sK0,mult(op_d,sK1)) != mult(mult(sK0,op_d),sK1)
| mult(sK0,mult(sK1,op_d)) != mult(mult(sK0,sK1),op_d)
| mult(op_d,mult(sK0,sK1)) != mult(mult(op_d,sK0),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f19,f20]) ).
fof(f20,plain,
( ? [X0,X1] :
( mult(X0,mult(op_d,X1)) != mult(mult(X0,op_d),X1)
| mult(X0,mult(X1,op_d)) != mult(mult(X0,X1),op_d)
| mult(op_d,mult(X0,X1)) != mult(mult(op_d,X0),X1) )
=> ( mult(sK0,mult(op_d,sK1)) != mult(mult(sK0,op_d),sK1)
| mult(sK0,mult(sK1,op_d)) != mult(mult(sK0,sK1),op_d)
| mult(op_d,mult(sK0,sK1)) != mult(mult(op_d,sK0),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1] :
( mult(X0,mult(op_d,X1)) != mult(mult(X0,op_d),X1)
| mult(X0,mult(X1,op_d)) != mult(mult(X0,X1),op_d)
| mult(op_d,mult(X0,X1)) != mult(mult(op_d,X0),X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X0,X1] :
( mult(X0,mult(op_d,X1)) = mult(mult(X0,op_d),X1)
& mult(X0,mult(X1,op_d)) = mult(mult(X0,X1),op_d)
& mult(op_d,mult(X0,X1)) = mult(mult(op_d,X0),X1) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X3,X4] :
( mult(X3,mult(op_d,X4)) = mult(mult(X3,op_d),X4)
& mult(X3,mult(X4,op_d)) = mult(mult(X3,X4),op_d)
& mult(op_d,mult(X3,X4)) = mult(mult(op_d,X3),X4) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X3,X4] :
( mult(X3,mult(op_d,X4)) = mult(mult(X3,op_d),X4)
& mult(X3,mult(X4,op_d)) = mult(mult(X3,X4),op_d)
& mult(op_d,mult(X3,X4)) = mult(mult(op_d,X3),X4) ),
file('/export/starexec/sandbox2/tmp/tmp.Zxfc5ebGig/Vampire---4.8_17475',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP702+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 18:18:18 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a FOF_THM_RFO_PEQ problem
% 0.11/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.Zxfc5ebGig/Vampire---4.8_17475
% 0.64/0.81 % (17590)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.81 % (17591)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.64/0.81 % (17593)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.64/0.81 % (17592)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 (2995ds/34Mi)
% 0.64/0.81 % (17594)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 (2995ds/83Mi)
% 0.64/0.81 % (17588)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 (2995ds/34Mi)
% 0.64/0.81 % (17595)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 (2995ds/56Mi)
% 0.64/0.81 % (17592)Refutation not found, incomplete strategy% (17592)------------------------------
% 0.64/0.81 % (17592)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.81 % (17591)Refutation not found, incomplete strategy% (17591)------------------------------
% 0.64/0.81 % (17591)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.81 % (17591)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81
% 0.64/0.81 % (17591)Memory used [KB]: 957
% 0.64/0.81 % (17591)Time elapsed: 0.003 s
% 0.64/0.81 % (17591)Instructions burned: 2 (million)
% 0.64/0.81 % (17591)------------------------------
% 0.64/0.81 % (17591)------------------------------
% 0.64/0.81 % (17593)Refutation not found, incomplete strategy% (17593)------------------------------
% 0.64/0.81 % (17593)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.81 % (17593)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81
% 0.64/0.81 % (17593)Memory used [KB]: 959
% 0.64/0.81 % (17593)Time elapsed: 0.003 s
% 0.64/0.81 % (17593)Instructions burned: 2 (million)
% 0.64/0.81 % (17593)------------------------------
% 0.64/0.81 % (17593)------------------------------
% 0.64/0.81 % (17595)Refutation not found, incomplete strategy% (17595)------------------------------
% 0.64/0.81 % (17595)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.81 % (17592)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81
% 0.64/0.81 % (17592)Memory used [KB]: 1040
% 0.64/0.81 % (17592)Time elapsed: 0.003 s
% 0.64/0.81 % (17592)Instructions burned: 3 (million)
% 0.64/0.81 % (17592)------------------------------
% 0.64/0.81 % (17592)------------------------------
% 0.64/0.81 % (17595)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81
% 0.64/0.81 % (17588)Refutation not found, incomplete strategy% (17588)------------------------------
% 0.64/0.81 % (17588)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.81 % (17588)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81
% 0.64/0.81 % (17588)Memory used [KB]: 1035
% 0.64/0.81 % (17588)Time elapsed: 0.002 s
% 0.64/0.81 % (17588)Instructions burned: 2 (million)
% 0.64/0.81 % (17588)------------------------------
% 0.64/0.81 % (17588)------------------------------
% 0.64/0.81 % (17595)Memory used [KB]: 958
% 0.64/0.81 % (17595)Time elapsed: 0.003 s
% 0.64/0.81 % (17595)Instructions burned: 2 (million)
% 0.64/0.81 % (17595)------------------------------
% 0.64/0.81 % (17595)------------------------------
% 0.64/0.81 % (17594)Refutation not found, incomplete strategy% (17594)------------------------------
% 0.64/0.81 % (17594)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.81 % (17594)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81
% 0.64/0.81 % (17594)Memory used [KB]: 1023
% 0.64/0.81 % (17594)Time elapsed: 0.003 s
% 0.64/0.81 % (17594)Instructions burned: 3 (million)
% 0.64/0.81 % (17594)------------------------------
% 0.64/0.81 % (17594)------------------------------
% 0.64/0.81 % (17589)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 (2995ds/51Mi)
% 0.64/0.81 % (17590)First to succeed.
% 0.64/0.81 % (17590)Refutation found. Thanks to Tanya!
% 0.64/0.81 % SZS status Theorem for Vampire---4
% 0.64/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.81 % (17590)------------------------------
% 0.64/0.81 % (17590)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.81 % (17590)Termination reason: Refutation
% 0.64/0.81
% 0.64/0.81 % (17590)Memory used [KB]: 1048
% 0.64/0.81 % (17590)Time elapsed: 0.005 s
% 0.64/0.81 % (17590)Instructions burned: 4 (million)
% 0.64/0.81 % (17590)------------------------------
% 0.64/0.81 % (17590)------------------------------
% 0.64/0.81 % (17586)Success in time 0.477 s
% 0.64/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------