TSTP Solution File: NUM852+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM852+2 : TPTP v8.1.2. Released v4.1.0.
% 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 : n011.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 03:34:53 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 20 unt; 0 def)
% Number of atoms : 56 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 15 ~; 11 |; 3 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 63 ( 58 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f391,plain,
$false,
inference(unit_resulting_resolution,[],[f81,f362]) ).
fof(f362,plain,
! [X0] : greater(vmul(vd481,X0),vmul(X0,vd480)),
inference(superposition,[],[f332,f64]) ).
fof(f64,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X10,X11] : vmul(X10,X11) = vmul(X11,X10),
file('/export/starexec/sandbox/tmp/tmp.QeSxIrSGRz/Vampire---4.8_29961','ass(cond(270, 0), 0)') ).
fof(f332,plain,
! [X0] : greater(vmul(X0,vd481),vmul(X0,vd480)),
inference(superposition,[],[f301,f109]) ).
fof(f109,plain,
vd481 = vplus(vd480,vskolem9(vd481,vd480)),
inference(unit_resulting_resolution,[],[f55,f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| vplus(X1,vskolem9(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( vplus(X1,vskolem9(X0,X1)) = X0
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( greater(X0,X1)
=> vplus(X1,vskolem9(X0,X1)) = X0 ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X3] :
( greater(X2,X3)
=> vplus(X3,vskolem9(X2,X3)) = X2 ),
file('/export/starexec/sandbox/tmp/tmp.QeSxIrSGRz/Vampire---4.8_29961','ass(cond(302, 0), 3)') ).
fof(f55,plain,
greater(vd481,vd480),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
greater(vd481,vd480),
file('/export/starexec/sandbox/tmp/tmp.QeSxIrSGRz/Vampire---4.8_29961','holds(conseq_conjunct1(conseq(304)), 483, 0)') ).
fof(f301,plain,
! [X2,X0,X1] : greater(vmul(X0,vplus(X1,X2)),vmul(X0,X1)),
inference(superposition,[],[f89,f63]) ).
fof(f63,plain,
! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X7,X8,X9] : vmul(X7,vplus(X8,X9)) = vplus(vmul(X7,X8),vmul(X7,X9)),
file('/export/starexec/sandbox/tmp/tmp.QeSxIrSGRz/Vampire---4.8_29961','ass(cond(281, 0), 0)') ).
fof(f89,plain,
! [X2,X1] : greater(vplus(X1,X2),X1),
inference(forward_literal_rewriting,[],[f79,f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X14,X15] :
( less(X14,X15)
=> greater(X15,X14) ),
file('/export/starexec/sandbox/tmp/tmp.QeSxIrSGRz/Vampire---4.8_29961','ass(cond(147, 0), 0)') ).
fof(f79,plain,
! [X2,X1] : less(X1,vplus(X1,X2)),
inference(equality_resolution,[],[f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( less(X1,X0)
| vplus(X1,X2) != X0 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( vplus(X1,sK0(X0,X1)) = X0
| ~ less(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f47,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X3] : vplus(X1,X3) = X0
=> vplus(X1,sK0(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X3] : vplus(X1,X3) = X0
| ~ less(X1,X0) ) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X2] : vplus(X1,X2) = X0
| ~ less(X1,X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( less(X1,X0)
<=> ? [X2] : vplus(X1,X2) = X0 ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X20,X21] :
( less(X21,X20)
<=> ? [X22] : vplus(X21,X22) = X20 ),
file('/export/starexec/sandbox/tmp/tmp.QeSxIrSGRz/Vampire---4.8_29961','def(cond(conseq(axiom(3)), 12), 1)') ).
fof(f81,plain,
~ greater(vmul(vd481,vd469),vmul(vd469,vd480)),
inference(backward_demodulation,[],[f54,f64]) ).
fof(f54,plain,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vmul(vd481,vd469),vmul(vd480,vd469)),
file('/export/starexec/sandbox/tmp/tmp.QeSxIrSGRz/Vampire---4.8_29961','holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM852+2 : TPTP v8.1.2. Released v4.1.0.
% 0.14/0.15 % 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
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Apr 30 16:54:16 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ 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.QeSxIrSGRz/Vampire---4.8_29961
% 0.60/0.75 % (30233)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)
% 0.60/0.75 % (30234)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)
% 0.60/0.75 % (30227)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)
% 0.60/0.75 % (30229)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75 % (30228)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)
% 0.60/0.75 % (30231)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)
% 0.60/0.75 % (30232)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)
% 0.60/0.75 % (30230)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)
% 0.60/0.75 % (30233)Refutation not found, incomplete strategy% (30233)------------------------------
% 0.60/0.75 % (30233)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (30233)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (30233)Memory used [KB]: 1033
% 0.60/0.75 % (30233)Time elapsed: 0.003 s
% 0.60/0.75 % (30233)Instructions burned: 4 (million)
% 0.60/0.75 % (30233)------------------------------
% 0.60/0.75 % (30233)------------------------------
% 0.60/0.76 % (30234)Refutation not found, incomplete strategy% (30234)------------------------------
% 0.60/0.76 % (30234)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (30234)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (30234)Memory used [KB]: 958
% 0.60/0.76 % (30234)Time elapsed: 0.003 s
% 0.60/0.76 % (30234)Instructions burned: 2 (million)
% 0.60/0.76 % (30234)------------------------------
% 0.60/0.76 % (30234)------------------------------
% 0.60/0.76 % (30230)Refutation not found, incomplete strategy% (30230)------------------------------
% 0.60/0.76 % (30230)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (30230)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (30230)Memory used [KB]: 963
% 0.60/0.76 % (30230)Time elapsed: 0.003 s
% 0.60/0.76 % (30230)Instructions burned: 2 (million)
% 0.60/0.76 % (30230)------------------------------
% 0.60/0.76 % (30230)------------------------------
% 0.60/0.76 % (30231)Refutation not found, incomplete strategy% (30231)------------------------------
% 0.60/0.76 % (30231)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (30231)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (30231)Memory used [KB]: 1026
% 0.60/0.76 % (30231)Time elapsed: 0.003 s
% 0.60/0.76 % (30231)Instructions burned: 3 (million)
% 0.60/0.76 % (30231)------------------------------
% 0.60/0.76 % (30231)------------------------------
% 0.60/0.76 % (30232)Refutation not found, incomplete strategy% (30232)------------------------------
% 0.60/0.76 % (30232)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (30232)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (30232)Memory used [KB]: 1024
% 0.60/0.76 % (30232)Time elapsed: 0.003 s
% 0.60/0.76 % (30232)Instructions burned: 2 (million)
% 0.60/0.76 % (30232)------------------------------
% 0.60/0.76 % (30232)------------------------------
% 0.60/0.76 % (30227)Refutation not found, incomplete strategy% (30227)------------------------------
% 0.60/0.76 % (30227)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (30227)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (30227)Memory used [KB]: 1054
% 0.60/0.76 % (30227)Time elapsed: 0.003 s
% 0.60/0.76 % (30227)Instructions burned: 3 (million)
% 0.60/0.76 % (30227)------------------------------
% 0.60/0.76 % (30227)------------------------------
% 0.60/0.76 % (30237)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)
% 0.60/0.76 % (30235)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)
% 0.60/0.76 % (30236)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)
% 0.60/0.76 % (30238)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)
% 0.60/0.76 % (30239)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)
% 0.60/0.76 % (30240)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)
% 0.60/0.76 % (30239)Refutation not found, incomplete strategy% (30239)------------------------------
% 0.60/0.76 % (30239)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (30239)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (30239)Memory used [KB]: 1028
% 0.60/0.76 % (30239)Time elapsed: 0.004 s
% 0.60/0.76 % (30239)Instructions burned: 3 (million)
% 0.60/0.76 % (30239)------------------------------
% 0.60/0.76 % (30239)------------------------------
% 0.60/0.76 % (30240)Refutation not found, incomplete strategy% (30240)------------------------------
% 0.60/0.76 % (30240)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (30240)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (30240)Memory used [KB]: 1027
% 0.60/0.76 % (30240)Time elapsed: 0.003 s
% 0.60/0.76 % (30240)Instructions burned: 3 (million)
% 0.60/0.76 % (30240)------------------------------
% 0.60/0.76 % (30240)------------------------------
% 0.60/0.77 % (30241)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.60/0.77 % (30235)First to succeed.
% 0.60/0.77 % (30235)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Theorem for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (30235)------------------------------
% 0.60/0.77 % (30235)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (30235)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (30235)Memory used [KB]: 1112
% 0.60/0.77 % (30235)Time elapsed: 0.015 s
% 0.60/0.77 % (30235)Instructions burned: 21 (million)
% 0.60/0.77 % (30235)------------------------------
% 0.60/0.77 % (30235)------------------------------
% 0.60/0.77 % (30222)Success in time 0.391 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------