%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM842+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:17:13 PM UTC 2026
% Result : Theorem 5.35s 1.72s
% Output : Refutation 5.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 73 ( 14 unt; 5 def)
% Number of atoms : 162 ( 21 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 151 ( 62 ~; 73 |; 6 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 65 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vplus(vd353,vd355),vplus(vd354,vd356)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(218), 361, 0)') ).
fof(f2,negated_conjecture,
~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( ( greater(vd355,vd356)
& geq(vd353,vd354) )
| ( geq(vd355,vd356)
& greater(vd353,vd354) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(antec(218))') ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( ( greater(X2,X3)
& greater(X0,X1) )
=> greater(vplus(X0,X2),vplus(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(209, 0), 0)') ).
fof(f10,axiom,
! [X0,X1,X2] :
( greater(X0,X1)
=> greater(vplus(X0,X2),vplus(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof(f11,axiom,
! [X0,X1] : greater(vplus(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof(f18,axiom,
! [X0,X1] :
( geq(X1,X0)
<=> ( greater(X1,X0)
| X1 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof(f26,axiom,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : X1 = vplus(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f36,axiom,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f43,plain,
~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
inference(flattening,[],[f2]) ).
fof(f44,plain,
! [X0,X1] :
( geq(X1,X0)
=> ( greater(X1,X0)
| X1 = X0 ) ),
inference(unused_predicate_definition_removal,[],[f18]) ).
fof(f47,plain,
! [X0,X1] :
( greater(X1,X0)
| X1 = X0
| ~ geq(X1,X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f48,plain,
! [X0,X1] :
( greater(X1,X0)
| X1 = X0
| ~ geq(X1,X0) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X2,X3)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X2,X3)
| ~ greater(X0,X1) ),
inference(flattening,[],[f51]) ).
fof(f61,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X2] : X1 = vplus(X0,X2)
| ~ greater(X1,X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f62,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X3] : vplus(X0,X3) = X1
| ~ greater(X1,X0) ) ),
inference(rectify,[],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( vplus(X0,sK0(X0,X1)) = X1
| ~ greater(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f62]) ).
fof(f68,plain,
~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
inference(cnf_transformation,[],[f43]) ).
fof(f69,plain,
( geq(vd353,vd354)
| greater(vd353,vd354) ),
inference(cnf_transformation,[],[f3]) ).
fof(f71,plain,
( greater(vd355,vd356)
| greater(vd353,vd354) ),
inference(cnf_transformation,[],[f3]) ).
fof(f72,plain,
( greater(vd355,vd356)
| geq(vd355,vd356) ),
inference(cnf_transformation,[],[f3]) ).
fof(f73,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| vplus(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f63]) ).
fof(f80,plain,
! [X0,X1] :
( ~ geq(X1,X0)
| X0 = X1
| greater(X1,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f81,plain,
! [X0,X1] : greater(vplus(X0,X1),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| greater(vplus(X0,X2),vplus(X1,X2)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f84,plain,
! [X2,X3,X0,X1] :
( ~ greater(X2,X3)
| greater(vplus(X0,X2),vplus(X1,X3))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f87,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f36]) ).
fof(f115,definition,
( spl4_1
<=> greater(vd353,vd354) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f117,plain,
( greater(vd353,vd354)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f119,definition,
( spl4_2
<=> geq(vd353,vd354) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f121,plain,
( geq(vd353,vd354)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f69,f119,f115]) ).
fof(f124,definition,
( spl4_3
<=> geq(vd355,vd356) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f126,plain,
( geq(vd355,vd356)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f129,definition,
( spl4_4
<=> greater(vd355,vd356) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f130,plain,
( ~ greater(vd355,vd356)
| spl4_4 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f131,plain,
( greater(vd355,vd356)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,plain,
( spl4_1
| spl4_4 ),
inference(avatar_split_clause,[],[f71,f129,f115]) ).
fof(f133,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f72,f129,f124]) ).
fof(f166,plain,
( vd353 = vd354
| greater(vd353,vd354)
| ~ spl4_2 ),
inference(resolution,[],[f80,f121]) ).
fof(f168,definition,
( spl4_5
<=> vd353 = vd354 ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f170,plain,
( vd353 = vd354
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f171,plain,
( spl4_1
| spl4_5
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f166,f119,f168,f115]) ).
fof(f173,plain,
( vd355 = vplus(vd356,sK0(vd356,vd355))
| ~ spl4_4 ),
inference(resolution,[],[f73,f131]) ).
fof(f247,plain,
! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),vplus(X0,X1)),
inference(superposition,[],[f81,f87]) ).
fof(f347,plain,
( ! [X0,X1] :
( greater(vplus(X0,vd355),vplus(X1,vd356))
| ~ greater(X0,X1) )
| ~ spl4_4 ),
inference(resolution,[],[f84,f131]) ).
fof(f644,plain,
( ! [X0] : greater(vplus(X0,vd355),vplus(X0,vd356))
| ~ spl4_4 ),
inference(superposition,[],[f247,f173]) ).
fof(f1096,plain,
( ~ greater(vd353,vd354)
| ~ spl4_4 ),
inference(resolution,[],[f347,f68]) ).
fof(f1112,plain,
( $false
| ~ spl4_1
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f1096,f117]) ).
fof(f1113,plain,
( ~ spl4_1
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f1112]) ).
fof(f1182,plain,
( ~ greater(vplus(vd353,vd355),vplus(vd353,vd356))
| ~ spl4_5 ),
inference(superposition,[],[f68,f170]) ).
fof(f1205,plain,
( $false
| ~ spl4_4
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f1182,f644]) ).
fof(f1206,plain,
( ~ spl4_4
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f1205]) ).
fof(f1292,plain,
( ! [X0] : greater(vplus(vd353,X0),vplus(vd354,X0))
| ~ spl4_1 ),
inference(resolution,[],[f117,f82]) ).
fof(f1317,plain,
( vd355 = vd356
| greater(vd355,vd356)
| ~ spl4_3 ),
inference(resolution,[],[f126,f80]) ).
fof(f1318,plain,
( vd355 = vd356
| ~ spl4_3
| spl4_4 ),
inference(forward_subsumption_resolution,[],[f1317,f130]) ).
fof(f1424,plain,
( ~ greater(vplus(vd353,vd355),vplus(vd354,vd355))
| ~ spl4_3
| spl4_4 ),
inference(superposition,[],[f68,f1318]) ).
fof(f1439,plain,
( $false
| ~ spl4_1
| ~ spl4_3
| spl4_4 ),
inference(forward_subsumption_resolution,[],[f1424,f1292]) ).
fof(f1440,plain,
( ~ spl4_1
| ~ spl4_3
| spl4_4 ),
inference(avatar_contradiction_clause,[],[f1439]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f122]) ).
cnf(s3,plain,
( spl4_1
| spl4_4 ),
inference(sat_conversion,[],[f132]) ).
cnf(s4,plain,
( spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f133]) ).
cnf(s5,plain,
( spl4_1
| ~ spl4_2
| spl4_5 ),
inference(sat_conversion,[],[f171]) ).
cnf(s8,plain,
( ~ spl4_1
| ~ spl4_4 ),
inference(sat_conversion,[],[f1113]) ).
cnf(s11,plain,
( ~ spl4_4
| ~ spl4_5 ),
inference(sat_conversion,[],[f1206]) ).
cnf(s14,plain,
( ~ spl4_1
| ~ spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f1440]) ).
cnf(s15,plain,
spl4_1,
inference(rat,[],[s5,s11,s1,s3]) ).
cnf(s16,plain,
~ spl4_4,
inference(rat,[],[s8,s15]) ).
cnf(s18,plain,
spl4_3,
inference(rat,[],[s4,s16]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s14,s15,s16,s18]) ).
fof(f1443,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM842+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n010.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 21:29:49 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 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
% 4.01/1.53 % (1324619)Detected formulas, will run a generic FOF schedule.
% 4.01/1.53 % (1324730)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=729864298:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.01/1.53 % (1324734)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2469547616:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.01/1.53 % (1324733)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3757199674:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.01/1.53 % (1324735)dis-21_1_sil=8000:lcm=predicate:random_seed=3403899540: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)
% 4.01/1.53 % (1324732)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3981966925:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.01/1.53 % (1324729)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=2530960908:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.01/1.53 % (1324731)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=2414606712:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.01/1.53 % (1324732)Refutation not found, incomplete strategy
% 4.01/1.53 % (1324732)------------------------------
% 4.01/1.53 % (1324732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53 % (1324732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53 % (1324732)CaDiCaL version: 2.1.3
% 4.01/1.53 % (1324732)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.53 % (1324732)Time elapsed: 0.002 s
% 4.01/1.53 % (1324732)Peak memory usage: 88 MB
% 4.01/1.53 % (1324732)Instructions burned: 1 (million)
% 4.01/1.53 % (1324733)Instruction limit reached!
% 4.01/1.53 % (1324733)------------------------------
% 4.01/1.53 % (1324733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53 % (1324733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53 % (1324733)CaDiCaL version: 2.1.3
% 4.01/1.53 % (1324733)Termination reason: Instruction limit
% 4.01/1.53 % (1324733)Termination phase: Saturation
% 4.01/1.53 % (1324733)Time elapsed: 0.073 s
% 4.01/1.53 % (1324733)Peak memory usage: 88 MB
% 4.01/1.53 % (1324733)Instructions burned: 119 (million)
% 4.01/1.53 % (1324735)Instruction limit reached!
% 4.01/1.53 % (1324735)------------------------------
% 4.01/1.53 % (1324735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53 % (1324735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53 % (1324735)CaDiCaL version: 2.1.3
% 4.01/1.53 % (1324735)Termination reason: Instruction limit
% 4.01/1.53 % (1324735)Termination phase: Saturation
% 4.01/1.53 % (1324735)Time elapsed: 0.082 s
% 4.01/1.53 % (1324735)Peak memory usage: 88 MB
% 4.01/1.53 % (1324735)Instructions burned: 130 (million)
% 4.01/1.53 % (1324734)Instruction limit reached!
% 4.01/1.53 % (1324734)------------------------------
% 4.01/1.53 % (1324734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53 % (1324734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53 % (1324734)CaDiCaL version: 2.1.3
% 4.01/1.53 % (1324734)Termination reason: Instruction limit
% 4.01/1.53 % (1324734)Termination phase: Saturation
% 4.01/1.53 % (1324734)Time elapsed: 0.085 s
% 4.01/1.53 % (1324734)Peak memory usage: 90 MB
% 4.01/1.53 % (1324734)Instructions burned: 139 (million)
% 4.01/1.53 % (1324791)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2389972784:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.01/1.53 % (1324790)lrs+10_1_sil=8000:sp=occurrence:random_seed=2030500915:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.01/1.53 % (1324792)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3606413119:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.01/1.53 % (1324732)------------------------------
% 4.01/1.53 % (1324732)------------------------------
% 4.01/1.53 % (1324792)First to succeed.
% 4.01/1.53 % (1324792)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1324619"
% 4.01/1.53 % (1324791)Instruction limit reached!
% 5.35/1.72 % (1324791)------------------------------
% 5.35/1.72 % (1324791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.35/1.72 % (1324791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.72 % (1324791)CaDiCaL version: 2.1.3
% 5.35/1.72 % (1324791)Termination reason: Instruction limit
% 5.35/1.72 % (1324791)Termination phase: Saturation
% 5.35/1.72 % (1324791)Time elapsed: 0.094 s
% 5.35/1.72 % (1324791)Peak memory usage: 90 MB
% 5.35/1.72 % (1324791)Instructions burned: 157 (million)
% 5.35/1.72 % (1324730)Also succeeded, but the first one will report.
% 5.35/1.72 % (1324790)Instruction limit reached!
% 5.35/1.72 % (1324790)------------------------------
% 5.35/1.72 % (1324790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.35/1.72 % (1324790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.72 % (1324790)CaDiCaL version: 2.1.3
% 5.35/1.72 % (1324790)Termination reason: Instruction limit
% 5.35/1.72 % (1324790)Termination phase: Saturation
% 5.35/1.72 % (1324790)Time elapsed: 0.168 s
% 5.35/1.72 % (1324790)Peak memory usage: 90 MB
% 5.35/1.72 % (1324790)Instructions burned: 287 (million)
% 5.35/1.72 % (1324796)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=869342615:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.35/1.72 % (1324797)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2144277818:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.35/1.72 % (1324797)Refutation not found, incomplete strategy
% 5.35/1.72 % (1324797)------------------------------
% 5.35/1.72 % (1324797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.35/1.72 % (1324797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.72 % (1324797)CaDiCaL version: 2.1.3
% 5.35/1.72 % (1324797)Termination reason: Refutation not found, incomplete strategy
% 5.35/1.72 % (1324797)Time elapsed: 0.003 s
% 5.35/1.72 % (1324797)Peak memory usage: 89 MB
% 5.35/1.72 % (1324797)Instructions burned: 2 (million)
% 5.35/1.72 % (1324798)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3873546924:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.35/1.72 % (1324792)Refutation found. Thanks to Tanya!
% 5.35/1.72 % SZS status Theorem for theBenchmark
% 5.35/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 5.35/1.72 % (1324792)------------------------------
% 5.35/1.72 % (1324792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.35/1.72 % (1324792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.72 % (1324792)CaDiCaL version: 2.1.3
% 5.35/1.72 % (1324792)Termination reason: Refutation
% 5.35/1.72 % (1324792)Time elapsed: 0.039 s
% 5.35/1.72 % (1324792)Peak memory usage: 90 MB
% 5.35/1.72 % (1324792)Instructions burned: 56 (million)
% 5.35/1.72 % (1324792)------------------------------
% 5.35/1.72 % (1324792)------------------------------
% 5.35/1.72 % (1324619)Success in time 0.66 s
% 5.35/1.72 % Vampire exiting
%------------------------------------------------------------------------------