TSTP Solution File: GRP704+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP704+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n008.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 05:51:03 EDT 2024
% Result : Theorem 0.61s 0.77s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 20 unt; 0 def)
% Number of atoms : 71 ( 49 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 : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 34 ( 30 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f115,plain,
$false,
inference(avatar_sat_refutation,[],[f47,f92,f111,f114]) ).
fof(f114,plain,
spl2_3,
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f113,plain,
( $false
| spl2_3 ),
inference(subsumption_resolution,[],[f112,f28]) ).
fof(f28,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/sandbox/tmp/tmp.PpL0TIMpOX/Vampire---4.8_14932',f10) ).
fof(f112,plain,
( mult(sK0,mult(op_c,sK1)) != mult(mult(sK0,op_c),sK1)
| spl2_3 ),
inference(forward_demodulation,[],[f46,f88]) ).
fof(f88,plain,
op_c = op_f,
inference(forward_demodulation,[],[f87,f32]) ).
fof(f32,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] : mult(unit,X0) = X0,
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1] : mult(unit,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.PpL0TIMpOX/Vampire---4.8_14932',f06) ).
fof(f87,plain,
op_f = mult(unit,op_c),
inference(forward_demodulation,[],[f76,f37]) ).
fof(f37,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox/tmp/tmp.PpL0TIMpOX/Vampire---4.8_14932',f01) ).
fof(f76,plain,
! [X0] : op_f = mult(unit,mult(X0,ld(X0,op_c))),
inference(superposition,[],[f25,f32]) ).
fof(f25,plain,
! [X0,X1] : op_f = mult(X1,mult(X0,ld(mult(X1,X0),op_c))),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] : op_f = mult(X1,mult(X0,ld(mult(X1,X0),op_c))),
file('/export/starexec/sandbox/tmp/tmp.PpL0TIMpOX/Vampire---4.8_14932',f13) ).
fof(f46,plain,
( mult(sK0,mult(op_f,sK1)) != mult(mult(sK0,op_f),sK1)
| spl2_3 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl2_3
<=> mult(sK0,mult(op_f,sK1)) = mult(mult(sK0,op_f),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f111,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f110]) ).
fof(f110,plain,
( $false
| spl2_2 ),
inference(subsumption_resolution,[],[f109,f29]) ).
fof(f29,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/sandbox/tmp/tmp.PpL0TIMpOX/Vampire---4.8_14932',f09) ).
fof(f109,plain,
( mult(sK0,mult(sK1,op_c)) != mult(mult(sK0,sK1),op_c)
| spl2_2 ),
inference(forward_demodulation,[],[f43,f88]) ).
fof(f43,plain,
( mult(sK0,mult(sK1,op_f)) != mult(mult(sK0,sK1),op_f)
| spl2_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl2_2
<=> mult(sK0,mult(sK1,op_f)) = mult(mult(sK0,sK1),op_f) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f92,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f91]) ).
fof(f91,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f89,f30]) ).
fof(f30,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/sandbox/tmp/tmp.PpL0TIMpOX/Vampire---4.8_14932',f08) ).
fof(f89,plain,
( mult(op_c,mult(sK0,sK1)) != mult(mult(op_c,sK0),sK1)
| spl2_1 ),
inference(backward_demodulation,[],[f40,f88]) ).
fof(f40,plain,
( mult(op_f,mult(sK0,sK1)) != mult(mult(op_f,sK0),sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl2_1
<=> mult(op_f,mult(sK0,sK1)) = mult(mult(op_f,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f47,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f24,f45,f42,f39]) ).
fof(f24,plain,
( mult(sK0,mult(op_f,sK1)) != mult(mult(sK0,op_f),sK1)
| mult(sK0,mult(sK1,op_f)) != mult(mult(sK0,sK1),op_f)
| mult(op_f,mult(sK0,sK1)) != mult(mult(op_f,sK0),sK1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( mult(sK0,mult(op_f,sK1)) != mult(mult(sK0,op_f),sK1)
| mult(sK0,mult(sK1,op_f)) != mult(mult(sK0,sK1),op_f)
| mult(op_f,mult(sK0,sK1)) != mult(mult(op_f,sK0),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f21,f22]) ).
fof(f22,plain,
( ? [X0,X1] :
( mult(X0,mult(op_f,X1)) != mult(mult(X0,op_f),X1)
| mult(X0,mult(X1,op_f)) != mult(mult(X0,X1),op_f)
| mult(op_f,mult(X0,X1)) != mult(mult(op_f,X0),X1) )
=> ( mult(sK0,mult(op_f,sK1)) != mult(mult(sK0,op_f),sK1)
| mult(sK0,mult(sK1,op_f)) != mult(mult(sK0,sK1),op_f)
| mult(op_f,mult(sK0,sK1)) != mult(mult(op_f,sK0),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0,X1] :
( mult(X0,mult(op_f,X1)) != mult(mult(X0,op_f),X1)
| mult(X0,mult(X1,op_f)) != mult(mult(X0,X1),op_f)
| mult(op_f,mult(X0,X1)) != mult(mult(op_f,X0),X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X0,X1] :
( mult(X0,mult(op_f,X1)) = mult(mult(X0,op_f),X1)
& mult(X0,mult(X1,op_f)) = mult(mult(X0,X1),op_f)
& mult(op_f,mult(X0,X1)) = mult(mult(op_f,X0),X1) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X3,X4] :
( mult(X3,mult(op_f,X4)) = mult(mult(X3,op_f),X4)
& mult(X3,mult(X4,op_f)) = mult(mult(X3,X4),op_f)
& mult(op_f,mult(X3,X4)) = mult(mult(op_f,X3),X4) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X3,X4] :
( mult(X3,mult(op_f,X4)) = mult(mult(X3,op_f),X4)
& mult(X3,mult(X4,op_f)) = mult(mult(X3,X4),op_f)
& mult(op_f,mult(X3,X4)) = mult(mult(op_f,X3),X4) ),
file('/export/starexec/sandbox/tmp/tmp.PpL0TIMpOX/Vampire---4.8_14932',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP704+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % 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
% 0.16/0.36 % Computer : n008.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:53:53 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_PEQ problem
% 0.16/0.37 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.PpL0TIMpOX/Vampire---4.8_14932
% 0.61/0.76 % (15317)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)
% 0.61/0.76 % (15317)Refutation not found, incomplete strategy% (15317)------------------------------
% 0.61/0.76 % (15317)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (15317)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (15317)Memory used [KB]: 1022
% 0.61/0.76 % (15317)Time elapsed: 0.002 s
% 0.61/0.76 % (15317)Instructions burned: 2 (million)
% 0.61/0.76 % (15317)------------------------------
% 0.61/0.76 % (15317)------------------------------
% 0.61/0.76 % (15310)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)
% 0.61/0.76 % (15313)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)
% 0.61/0.76 % (15311)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)
% 0.61/0.76 % (15314)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)
% 0.61/0.76 % (15315)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)
% 0.61/0.76 % (15312)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76 % (15316)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)
% 0.61/0.76 % (15313)Refutation not found, incomplete strategy% (15313)------------------------------
% 0.61/0.76 % (15313)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (15313)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (15313)Memory used [KB]: 959
% 0.61/0.76 % (15313)Time elapsed: 0.003 s
% 0.61/0.76 % (15313)Instructions burned: 2 (million)
% 0.61/0.76 % (15310)Refutation not found, incomplete strategy% (15310)------------------------------
% 0.61/0.76 % (15310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (15314)Refutation not found, incomplete strategy% (15314)------------------------------
% 0.61/0.76 % (15314)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (15314)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (15314)Memory used [KB]: 1040
% 0.61/0.76 % (15314)Time elapsed: 0.003 s
% 0.61/0.76 % (15314)Instructions burned: 3 (million)
% 0.61/0.76 % (15315)Refutation not found, incomplete strategy% (15315)------------------------------
% 0.61/0.76 % (15315)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (15310)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (15310)Memory used [KB]: 1036
% 0.61/0.76 % (15310)Time elapsed: 0.003 s
% 0.61/0.76 % (15310)Instructions burned: 3 (million)
% 0.61/0.76 % (15315)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (15315)Memory used [KB]: 1022
% 0.61/0.76 % (15315)Time elapsed: 0.003 s
% 0.61/0.76 % (15315)Instructions burned: 2 (million)
% 0.61/0.76 % (15313)------------------------------
% 0.61/0.76 % (15313)------------------------------
% 0.61/0.76 % (15316)Refutation not found, incomplete strategy% (15316)------------------------------
% 0.61/0.76 % (15316)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (15314)------------------------------
% 0.61/0.76 % (15314)------------------------------
% 0.61/0.76 % (15316)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76 % (15310)------------------------------
% 0.61/0.76 % (15310)------------------------------
% 0.61/0.76
% 0.61/0.76 % (15316)Memory used [KB]: 1023
% 0.61/0.76 % (15316)Time elapsed: 0.003 s
% 0.61/0.76 % (15316)Instructions burned: 3 (million)
% 0.61/0.77 % (15315)------------------------------
% 0.61/0.77 % (15315)------------------------------
% 0.61/0.77 % (15316)------------------------------
% 0.61/0.77 % (15316)------------------------------
% 0.61/0.77 % (15318)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.61/0.77 % (15319)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.61/0.77 % (15320)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.61/0.77 % (15322)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.61/0.77 % (15323)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.61/0.77 % (15324)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.61/0.77 % (15319)Refutation not found, incomplete strategy% (15319)------------------------------
% 0.61/0.77 % (15319)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (15319)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (15319)Memory used [KB]: 1026
% 0.61/0.77 % (15319)Time elapsed: 0.003 s
% 0.61/0.77 % (15319)Instructions burned: 3 (million)
% 0.61/0.77 % (15319)------------------------------
% 0.61/0.77 % (15319)------------------------------
% 0.61/0.77 % (15324)Refutation not found, incomplete strategy% (15324)------------------------------
% 0.61/0.77 % (15324)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (15324)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (15324)Memory used [KB]: 1027
% 0.61/0.77 % (15324)Time elapsed: 0.003 s
% 0.61/0.77 % (15324)Instructions burned: 3 (million)
% 0.61/0.77 % (15324)------------------------------
% 0.61/0.77 % (15324)------------------------------
% 0.61/0.77 % (15322)First to succeed.
% 0.61/0.77 % (15318)Also succeeded, but the first one will report.
% 0.61/0.77 % (15322)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15181"
% 0.61/0.77 % (15322)Refutation found. Thanks to Tanya!
% 0.61/0.77 % SZS status Theorem for Vampire---4
% 0.61/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (15322)------------------------------
% 0.61/0.78 % (15322)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (15322)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (15322)Memory used [KB]: 1056
% 0.61/0.78 % (15322)Time elapsed: 0.007 s
% 0.61/0.78 % (15322)Instructions burned: 8 (million)
% 0.61/0.78 % (15181)Success in time 0.397 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------