%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL903+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:56:58 AM UTC 2026
% Result : Theorem 4.94s 1.63s
% Output : Refutation 5.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 77 ( 46 unt; 1 def)
% Number of atoms : 118 ( 46 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 80 ( 39 ~; 34 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 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 : 123 ( 122 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f3,axiom,
! [X0] : '+'(X0,'0') = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f4,axiom,
! [X0] : '>='(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f6,axiom,
! [X0,X1] :
( ( '>='(X0,X1)
& '>='(X1,X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(f7,axiom,
! [X0,X1,X2] :
( '>='('+'(X0,X1),X2)
<=> '>='(X1,'==>'(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f8,axiom,
! [X0] : '>='(X0,'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f9,axiom,
! [X0,X1,X2] :
( '>='(X0,X1)
=> '>='('+'(X0,X2),'+'(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
fof(f10,axiom,
! [X0,X1,X2] :
( '>='(X0,X1)
=> '>='('==>'(X1,X2),'==>'(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( '>='(X0,X1)
=> '>='('==>'(X2,X0),'==>'(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
fof(f12,axiom,
! [X0] : '+'(X0,'1') = '1',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(f13,axiom,
! [X0] : '==>'('==>'('==>'(X0,'1'),X0),X0) = '0',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
fof(f14,conjecture,
! [X0] : '+'(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f15,negated_conjecture,
~ ! [X0] : '+'(X0,X0) = X0,
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f18,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f19,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f21,plain,
! [X0,X1,X2] :
( '>='('==>'(X1,X2),'==>'(X0,X2))
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f22,plain,
! [X0,X1,X2] :
( '>='('==>'(X2,X0),'==>'(X2,X1))
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f23,plain,
? [X0] : '+'(X0,X0) != X0,
inference(ennf_transformation,[],[f15]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( '>='('+'(X0,X1),X2)
| ~ '>='(X1,'==>'(X0,X2)) )
& ( '>='(X1,'==>'(X0,X2))
| ~ '>='('+'(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f25,plain,
sK0 != '+'(sK0,sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f23]) ).
fof(f27,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f28,plain,
! [X0] : '+'(X0,'0') = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f29,plain,
! [X0] : '>='(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f31,plain,
! [X0,X1] :
( ~ '>='(X1,X0)
| ~ '>='(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X0,X1),X2)
| '>='(X1,'==>'(X0,X2)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ '>='(X1,'==>'(X0,X2))
| '>='('+'(X0,X1),X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f34,plain,
! [X0] : '>='(X0,'0'),
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
! [X2,X0,X1] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f36,plain,
! [X2,X0,X1] :
( '>='('==>'(X1,X2),'==>'(X0,X2))
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f37,plain,
! [X2,X0,X1] :
( '>='('==>'(X2,X0),'==>'(X2,X1))
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f38,plain,
! [X0] : '1' = '+'(X0,'1'),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
! [X0] : '0' = '==>'('==>'('==>'(X0,'1'),X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f40,plain,
sK0 != '+'(sK0,sK0),
inference(cnf_transformation,[],[f25]) ).
fof(f41,definition,
sF1 = '+'(sK0,sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f42,plain,
'+'(sK0,sK0) = sF1,
inference(reorient_equations,[],[f41]) ).
fof(f43,plain,
sK0 != sF1,
inference(definition_folding,[],[f40,f42]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X1,X2),'+'(X0,X2))
| ~ '>='(X0,X1)
| '+'(X1,X2) = '+'(X0,X2) ),
inference(resolution,[],[f35,f31]) ).
fof(f56,plain,
! [X0,X1] : '>='(X0,'==>'(X1,'+'(X1,X0))),
inference(resolution,[],[f29,f32]) ).
fof(f62,plain,
! [X0,X1] :
( '>='('0','==>'(X0,X1))
| ~ '>='(X0,X1) ),
inference(superposition,[],[f32,f28]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X0,X1),X2)
| '>='(X0,'==>'(X1,X2)) ),
inference(superposition,[],[f32,f27]) ).
fof(f80,plain,
! [X0] : '+'('0',X0) = X0,
inference(superposition,[],[f28,f27]) ).
fof(f84,plain,
! [X0,X1] : '>='('+'(X0,'==>'(X0,X1)),X1),
inference(resolution,[],[f33,f29]) ).
fof(f89,plain,
! [X0,X1] :
( '>='('+'(X1,X0),X0)
| ~ '>='(X1,'0') ),
inference(superposition,[],[f35,f80]) ).
fof(f93,plain,
! [X0,X1] : '>='('+'(X1,X0),X0),
inference(forward_subsumption_resolution,[],[f89,f34]) ).
fof(f94,plain,
! [X0,X1] : '>='(X0,'==>'(X1,X0)),
inference(resolution,[],[f93,f32]) ).
fof(f105,plain,
! [X0,X1] : '>='(X0,'==>'(X1,'+'(X0,X1))),
inference(resolution,[],[f79,f29]) ).
fof(f112,plain,
! [X0,X1] : '>='(X0,'==>'('==>'(X0,X1),X1)),
inference(resolution,[],[f84,f79]) ).
fof(f117,plain,
! [X0] : '>='('==>'('0',X0),X0),
inference(superposition,[],[f84,f80]) ).
fof(f140,plain,
! [X0,X1] :
( ~ '>='('==>'(X0,'+'(X0,X1)),X1)
| '==>'(X0,'+'(X0,X1)) = X1 ),
inference(resolution,[],[f56,f31]) ).
fof(f146,plain,
'>='(sK0,'==>'(sK0,sF1)),
inference(superposition,[],[f56,f42]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ '>='('==>'(X0,X2),'==>'(X1,X2))
| ~ '>='(X0,X1)
| '==>'(X0,X2) = '==>'(X1,X2) ),
inference(resolution,[],[f36,f31]) ).
fof(f154,plain,
! [X0] :
( ~ '>='('==>'('0',X0),X0)
| '==>'('0',X0) = X0 ),
inference(superposition,[],[f140,f80]) ).
fof(f165,plain,
! [X0] : '==>'('0',X0) = X0,
inference(forward_subsumption_resolution,[],[f154,f117]) ).
fof(f261,plain,
! [X0] : '1' = '+'('1',X0),
inference(superposition,[],[f27,f38]) ).
fof(f342,plain,
! [X0] : '>='('1',X0),
inference(superposition,[],[f84,f261]) ).
fof(f363,plain,
! [X0,X1] : '>='('+'('==>'(X0,X1),X0),X1),
inference(resolution,[],[f112,f33]) ).
fof(f640,plain,
! [X0,X1] :
( ~ '>='(X0,X1)
| ~ '>='('==>'(X0,X1),'0')
| '0' = '==>'(X0,X1) ),
inference(resolution,[],[f62,f31]) ).
fof(f644,plain,
! [X0,X1] :
( ~ '>='(X0,X1)
| '0' = '==>'(X0,X1) ),
inference(forward_subsumption_resolution,[],[f640,f34]) ).
fof(f666,plain,
'0' = '==>'(sK0,'==>'(sK0,sF1)),
inference(resolution,[],[f644,f146]) ).
fof(f905,plain,
! [X0,X1] :
( ~ '>='(X0,'==>'(X1,'+'(X0,X1)))
| '+'(X0,X1) = '+'('==>'(X1,'+'(X0,X1)),X1) ),
inference(resolution,[],[f51,f363]) ).
fof(f935,plain,
! [X0,X1] : '+'(X0,X1) = '+'('==>'(X1,'+'(X0,X1)),X1),
inference(forward_subsumption_resolution,[],[f905,f105]) ).
fof(f1440,plain,
sF1 = '+'('==>'(sK0,sF1),sK0),
inference(superposition,[],[f935,f42]) ).
fof(f1513,plain,
sF1 = '+'(sK0,'==>'(sK0,sF1)),
inference(superposition,[],[f27,f1440]) ).
fof(f1546,plain,
! [X0,X1] :
( ~ '>='(X0,'==>'('==>'(X0,X1),X1))
| '==>'(X0,X1) = '==>'('==>'('==>'(X0,X1),X1),X1) ),
inference(resolution,[],[f148,f112]) ).
fof(f1568,plain,
! [X0,X1] : '==>'(X0,X1) = '==>'('==>'('==>'(X0,X1),X1),X1),
inference(forward_subsumption_resolution,[],[f1546,f112]) ).
fof(f2561,plain,
! [X0] : '==>'('==>'(X0,'1'),X0) = '==>'('0',X0),
inference(superposition,[],[f1568,f39]) ).
fof(f2617,plain,
! [X0] : '==>'('==>'(X0,'1'),X0) = X0,
inference(forward_demodulation,[],[f2561,f165]) ).
fof(f2655,plain,
! [X0,X1] :
( ~ '>='(X0,'==>'(X1,X0))
| ~ '>='('==>'(X0,'1'),X1)
| '==>'(X1,X0) = X0 ),
inference(superposition,[],[f148,f2617]) ).
fof(f2683,plain,
! [X0,X1] :
( ~ '>='('==>'(X0,'1'),X1)
| '==>'(X1,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f2655,f94]) ).
fof(f2685,plain,
! [X0,X1] :
( '==>'('==>'(X0,X1),X0) = X0
| ~ '>='('1',X1) ),
inference(resolution,[],[f2683,f37]) ).
fof(f2717,plain,
! [X0,X1] : '==>'('==>'(X0,X1),X0) = X0,
inference(forward_subsumption_resolution,[],[f2685,f342]) ).
fof(f2725,plain,
! [X0,X1] : '==>'(X0,X1) = '==>'(X0,'==>'(X0,X1)),
inference(superposition,[],[f2717,f2717]) ).
fof(f2922,plain,
'0' = '==>'(sK0,sF1),
inference(superposition,[],[f666,f2725]) ).
fof(f2944,plain,
sF1 = '+'(sK0,'0'),
inference(superposition,[],[f1513,f2922]) ).
fof(f2999,plain,
sK0 = sF1,
inference(forward_demodulation,[],[f2944,f28]) ).
fof(f3009,plain,
$false,
inference(forward_subsumption_resolution,[],[f2999,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL903+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n026.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 17:08:27 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.94/1.63 % (3067707)Detected formulas, will run a generic FOF schedule.
% 4.94/1.63 % (3067712)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3988401323:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.94/1.63 % (3067716)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3882970575:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.94/1.63 % (3067718)dis-21_1_sil=8000:lcm=predicate:random_seed=1627222742:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.94/1.63 % (3067713)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3388792967:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.94/1.63 % (3067714)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1640155817:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.94/1.63 % (3067715)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2387341757:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.94/1.63 % (3067717)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1951830281:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.94/1.63 % (3067715)Refutation not found, incomplete strategy
% 4.94/1.63 % (3067715)------------------------------
% 4.94/1.63 % (3067715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (3067715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (3067715)CaDiCaL version: 2.1.3
% 4.94/1.63 % (3067715)Termination reason: Refutation not found, incomplete strategy
% 4.94/1.63 % (3067715)Time elapsed: 0.001 s
% 4.94/1.63 % (3067715)Peak memory usage: 88 MB
% 4.94/1.63 % (3067716)Instruction limit reached!
% 4.94/1.63 % (3067716)------------------------------
% 4.94/1.63 % (3067716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (3067716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (3067716)CaDiCaL version: 2.1.3
% 4.94/1.63 % (3067716)Termination reason: Instruction limit
% 4.94/1.63 % (3067716)Termination phase: Saturation
% 4.94/1.63 % (3067716)Time elapsed: 0.059 s
% 4.94/1.63 % (3067716)Peak memory usage: 88 MB
% 4.94/1.63 % (3067716)Instructions burned: 120 (million)
% 4.94/1.63 % (3067717)Instruction limit reached!
% 4.94/1.63 % (3067717)------------------------------
% 4.94/1.63 % (3067717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (3067717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (3067717)CaDiCaL version: 2.1.3
% 4.94/1.63 % (3067717)Termination reason: Instruction limit
% 4.94/1.63 % (3067717)Termination phase: Saturation
% 4.94/1.63 % (3067717)Time elapsed: 0.076 s
% 4.94/1.63 % (3067717)Peak memory usage: 89 MB
% 4.94/1.63 % (3067717)Instructions burned: 141 (million)
% 4.94/1.63 % (3067718)Instruction limit reached!
% 4.94/1.63 % (3067718)------------------------------
% 4.94/1.63 % (3067718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (3067718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (3067718)CaDiCaL version: 2.1.3
% 4.94/1.63 % (3067718)Termination reason: Instruction limit
% 4.94/1.63 % (3067718)Termination phase: Saturation
% 4.94/1.63 % (3067718)Time elapsed: 0.077 s
% 4.94/1.63 % (3067718)Peak memory usage: 89 MB
% 4.94/1.63 % (3067718)Instructions burned: 130 (million)
% 4.94/1.63 % (3067726)lrs+10_1_sil=8000:sp=occurrence:random_seed=3659354061:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.94/1.63 % (3067727)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1289076296:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.94/1.63 % (3067728)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2881371526:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.94/1.63 % (3067715)------------------------------
% 4.94/1.63 % (3067715)------------------------------
% 4.94/1.63 % (3067727)Instruction limit reached!
% 4.94/1.63 % (3067727)------------------------------
% 4.94/1.63 % (3067727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (3067727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (3067727)CaDiCaL version: 2.1.3
% 4.94/1.63 % (3067727)Termination reason: Instruction limit
% 4.94/1.63 % (3067727)Termination phase: Saturation
% 4.94/1.63 % (3067727)Time elapsed: 0.092 s
% 4.94/1.63 % (3067727)Peak memory usage: 90 MB
% 4.94/1.63 % (3067727)Instructions burned: 159 (million)
% 4.94/1.63 % (3067728)Instruction limit reached!
% 4.94/1.63 % (3067728)------------------------------
% 4.94/1.63 % (3067728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (3067728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (3067728)CaDiCaL version: 2.1.3
% 4.94/1.63 % (3067728)Termination reason: Instruction limit
% 4.94/1.63 % (3067728)Termination phase: Saturation
% 4.94/1.63 % (3067728)Time elapsed: 0.153 s
% 4.94/1.63 % (3067728)Peak memory usage: 89 MB
% 4.94/1.63 % (3067728)Instructions burned: 327 (million)
% 4.94/1.63 % (3067726)Instruction limit reached!
% 4.94/1.63 % (3067726)------------------------------
% 4.94/1.63 % (3067726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (3067726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (3067726)CaDiCaL version: 2.1.3
% 4.94/1.63 % (3067726)Termination reason: Instruction limit
% 4.94/1.63 % (3067726)Termination phase: Saturation
% 4.94/1.63 % (3067726)Time elapsed: 0.174 s
% 4.94/1.63 % (3067726)Peak memory usage: 90 MB
% 4.94/1.63 % (3067726)Instructions burned: 285 (million)
% 4.94/1.63 % (3067732)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2454322593:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.94/1.63 % (3067712)First to succeed.
% 4.94/1.63 % (3067712)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3067707"
% 4.94/1.63 % (3067733)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1367749683:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.94/1.63 % (3067733)Refutation not found, incomplete strategy
% 4.94/1.63 % (3067733)------------------------------
% 4.94/1.63 % (3067733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (3067733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (3067733)CaDiCaL version: 2.1.3
% 4.94/1.63 % (3067733)Termination reason: Refutation not found, incomplete strategy
% 4.94/1.63 % (3067733)Time elapsed: 0.002 s
% 4.94/1.63 % (3067733)Peak memory usage: 88 MB
% 4.94/1.63 % (3067735)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1631567615:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.94/1.63 % (3067734)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=618655892:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.94/1.63 % (3067735)Refutation not found, incomplete strategy
% 4.94/1.63 % (3067735)------------------------------
% 4.94/1.63 % (3067735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (3067735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (3067735)CaDiCaL version: 2.1.3
% 4.94/1.63 % (3067735)Termination reason: Refutation not found, incomplete strategy
% 4.94/1.63 % (3067735)Time elapsed: 0.001 s
% 4.94/1.63 % (3067735)Peak memory usage: 88 MB
% 4.94/1.63 % (3067732)Instruction limit reached!
% 4.94/1.63 % (3067732)------------------------------
% 4.94/1.63 % (3067732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.94/1.63 % (3067732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.94/1.63 % (3067732)CaDiCaL version: 2.1.3
% 4.94/1.63 % (3067732)Termination reason: Instruction limit
% 4.94/1.63 % (3067732)Termination phase: Saturation
% 4.94/1.63 % (3067732)Time elapsed: 0.153 s
% 4.94/1.63 % (3067732)Peak memory usage: 90 MB
% 4.94/1.63 % (3067732)Instructions burned: 249 (million)
% 4.94/1.63 % (3067712)Refutation found. Thanks to Tanya!
% 4.94/1.63 % SZS status Theorem for theBenchmark
% 4.94/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 5.96/1.83 % (3067712)------------------------------
% 5.96/1.83 % (3067712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/1.83 % (3067712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.83 % (3067712)CaDiCaL version: 2.1.3
% 5.96/1.83 % (3067712)Termination reason: Refutation
% 5.96/1.83 % (3067712)Time elapsed: 0.477 s
% 5.96/1.83 % (3067712)Peak memory usage: 131 MB
% 5.96/1.83 % (3067712)Instructions burned: 1267 (million)
% 5.96/1.83 % (3067712)------------------------------
% 5.96/1.83 % (3067712)------------------------------
% 5.96/1.83 % (3067707)Success in time 0.758 s
% 5.96/1.83 % Vampire exiting
%------------------------------------------------------------------------------