TSTP Solution File: NUM855+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUM855+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n020.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 : Mon Jun 24 13:18:15 EDT 2024
% Result : Theorem 1.24s 0.56s
% Output : Refutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 22 unt; 0 def)
% Number of atoms : 45 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 8 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f515,plain,
$false,
inference(subsumption_resolution,[],[f382,f514]) ).
fof(f514,plain,
greater(vmul(vd511,vd509),vmul(vd509,vd512)),
inference(forward_demodulation,[],[f148,f157]) ).
fof(f157,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X22,X23] : vmul(X22,X23) = vmul(X23,X22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f148,plain,
greater(vmul(vd511,vd509),vmul(vd512,vd509)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
greater(vmul(vd511,vd509),vmul(vd512,vd509)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f382,plain,
~ greater(vmul(vd511,vd509),vmul(vd509,vd512)),
inference(forward_demodulation,[],[f362,f149]) ).
fof(f149,plain,
vmul(vd511,vd509) = vmul(vd509,vd511),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
vmul(vd511,vd509) = vmul(vd509,vd511),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f362,plain,
~ greater(vmul(vd509,vd511),vmul(vd509,vd512)),
inference(unit_resulting_resolution,[],[f133,f255,f135]) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( ( greater(X0,X1)
& greater(X2,X3) )
=> greater(vplus(X0,X2),vplus(X1,X3)) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X42,X43,X44,X45] :
( ( greater(X42,X43)
& greater(X44,X45) )
=> greater(vplus(X42,X44),vplus(X43,X45)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f255,plain,
! [X0] : ~ greater(vplus(X0,vmul(vd508,vd511)),vplus(vmul(vd509,vd512),X0)),
inference(superposition,[],[f186,f167]) ).
fof(f167,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X92,X93] : vplus(X93,X92) = vplus(X92,X93),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f186,plain,
! [X0] : ~ greater(vplus(vmul(vd508,vd511),X0),vplus(vmul(vd509,vd512),X0)),
inference(unit_resulting_resolution,[],[f132,f136]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ greater(vplus(X0,X2),vplus(X1,X2))
| greater(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( greater(X0,X1)
| ~ greater(vplus(X0,X2),vplus(X1,X2)) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( greater(vplus(X0,X2),vplus(X1,X2))
=> greater(X0,X1) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X46,X47,X48] :
( greater(vplus(X46,X48),vplus(X47,X48))
=> greater(X46,X47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f132,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vmul(vd508,vd511),vmul(vd509,vd512)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f133,plain,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : NUM855+1 : TPTP v8.2.0. Released v4.1.0.
% 0.05/0.14 % Command : run_vampire %s %d THM
% 0.14/0.36 % Computer : n020.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 : Sun Jun 23 01:08:09 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.38 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.44 % (24389)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (24394)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.23/0.45 % (24389)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (24393)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.23/0.45 % (24389)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (24390)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2999ds/38749Mi)
% 0.23/0.45 % (24389)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (24392)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.23/0.45 % (24389)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (24391)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.23/0.47 % (24389)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.47 % (24396)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.23/0.47 % (24396)Refutation not found, incomplete strategy% (24396)------------------------------
% 0.23/0.47 % (24396)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.47 % (24396)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.47 % (24396)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.47
% 0.23/0.47 % (24396)Memory used [KB]: 1162
% 0.23/0.47 % (24396)Time elapsed: 0.006 s
% 0.23/0.47 % (24396)Instructions burned: 6 (million)
% 0.23/0.47 % (24396)------------------------------
% 0.23/0.47 % (24396)------------------------------
% 0.23/0.48 % (24389)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.48 % (24395)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.23/0.48 % (24395)Refutation not found, incomplete strategy% (24395)------------------------------
% 0.23/0.48 % (24395)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.48 % (24395)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.48 % (24395)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.48
% 0.23/0.48 % (24395)Memory used [KB]: 1184
% 0.23/0.48 % (24395)Time elapsed: 0.006 s
% 0.23/0.48 % (24395)Instructions burned: 9 (million)
% 0.23/0.48 % (24395)------------------------------
% 0.23/0.48 % (24395)------------------------------
% 0.23/0.51 % (24394)Instruction limit reached!
% 0.23/0.51 % (24394)------------------------------
% 0.23/0.51 % (24394)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.51 % (24394)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.51 % (24394)Termination reason: Time limit
% 0.23/0.51 % (24394)Termination phase: Saturation
% 0.23/0.51
% 0.23/0.51 % (24394)Memory used [KB]: 2024
% 0.23/0.51 % (24394)Time elapsed: 0.069 s
% 0.23/0.51 % (24394)Instructions burned: 121 (million)
% 0.23/0.52 % (24389)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.52 % (24397)lrs+1002_1:1024_drc=encompass:sil=2000:tgt=full:rp=on:i=123:nm=16:ss=axioms:sd=1:st=2.0_0 on theBenchmark for (2999ds/123Mi)
% 0.23/0.53 % (24393)Instruction limit reached!
% 0.23/0.53 % (24393)------------------------------
% 0.23/0.53 % (24393)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.53 % (24393)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.53 % (24393)Termination reason: Time limit
% 0.23/0.53 % (24393)Termination phase: Saturation
% 0.23/0.53
% 0.23/0.53 % (24393)Memory used [KB]: 2333
% 0.23/0.53 % (24393)Time elapsed: 0.077 s
% 0.23/0.53 % (24393)Instructions burned: 103 (million)
% 1.10/0.55 % (24389)Running in auto input_syntax mode. Trying TPTP
% 1.10/0.55 % (24398)lrs+10_1:1_sil=8000:sp=occurrence:sos=on:urr=full:nwc=10.0:st=1.5:i=205:ss=axioms:rnwc=on:sgt=4_0 on theBenchmark for (2999ds/205Mi)
% 1.24/0.56 % (24389)Running in auto input_syntax mode. Trying TPTP
% 1.24/0.56 % (24399)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=180:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2998ds/180Mi)
% 1.24/0.56 % (24398)First to succeed.
% 1.24/0.56 % (24398)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24389"
% 1.24/0.56 % (24389)Running in auto input_syntax mode. Trying TPTP
% 1.24/0.56 % (24398)Refutation found. Thanks to Tanya!
% 1.24/0.56 % SZS status Theorem for theBenchmark
% 1.24/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.24/0.56 % (24398)------------------------------
% 1.24/0.56 % (24398)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.24/0.56 % (24398)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.24/0.56 % (24398)Termination reason: Refutation
% 1.24/0.56
% 1.24/0.56 % (24398)Memory used [KB]: 1347
% 1.24/0.56 % (24398)Time elapsed: 0.016 s
% 1.24/0.56 % (24398)Instructions burned: 29 (million)
% 1.24/0.56 % (24398)------------------------------
% 1.24/0.56 % (24398)------------------------------
% 1.24/0.56 % (24389)Success in time 0.175 s
%------------------------------------------------------------------------------