%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP642+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 10:15:14 AM UTC 2026
% Result : Theorem 9.63s 4.29s
% Output : Refutation 9.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 13 unt; 0 def)
% Number of atoms : 121 ( 18 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 147 ( 60 ~; 47 |; 33 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 25 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [X0] :
( X0 = k1_xboole_0
<=> ! [X1] : ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f5328,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_card_1) ).
fof(f36509,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_latsubgr) ).
fof(f36510,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> k1_funct_1(k1_latsubgr(X0),X1) != k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_latsubgr) ).
fof(f36511,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> k1_funct_1(k1_latsubgr(X0),X1) != k1_xboole_0 ) ),
inference(negated_conjecture,[status(cth)],[f36510]) ).
fof(f36514,plain,
? [X0] :
( ? [X1] :
( k1_xboole_0 = k1_funct_1(k1_latsubgr(X0),X1)
& v1_group_1(X1)
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f36511]) ).
fof(f36515,plain,
? [X0] :
( ? [X1] :
( k1_xboole_0 = k1_funct_1(k1_latsubgr(X0),X1)
& v1_group_1(X1)
& m1_group_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f36514]) ).
fof(f36574,plain,
! [X0] :
( ! [X1] :
( r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f36509]) ).
fof(f36575,plain,
! [X0] :
( ! [X1] :
( r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f36574]) ).
fof(f36582,plain,
( k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),sK1)
& v1_group_1(sK1)
& m1_group_2(sK1,sK0)
& ~ v3_struct_0(sK0)
& v3_group_1(sK0)
& v4_group_1(sK0)
& l1_group_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f36515]) ).
fof(f36587,plain,
! [X0] :
( ( X0 = k1_xboole_0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X1] : ~ r2_hidden(X1,X0)
| k1_xboole_0 != X0 ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f36588,plain,
! [X0] :
( ( X0 = k1_xboole_0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(rectify,[],[f36587]) ).
fof(f36589,plain,
! [X0] :
( ( X0 = k1_xboole_0
| r2_hidden(sK3(X0),X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f36588]) ).
fof(f36602,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f36582]) ).
fof(f36603,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f36582]) ).
fof(f36604,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f36582]) ).
fof(f36605,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f36582]) ).
fof(f36606,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f36582]) ).
fof(f36607,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f36582]) ).
fof(f36608,plain,
k1_xboole_0 = k1_funct_1(k1_latsubgr(sK0),sK1),
inference(cnf_transformation,[],[f36582]) ).
fof(f36609,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f5328]) ).
fof(f36647,plain,
! [X2,X0] :
( ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ),
inference(cnf_transformation,[],[f36589]) ).
fof(f36681,plain,
! [X0,X1] :
( r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36575]) ).
fof(f36691,plain,
np__0 = k1_funct_1(k1_latsubgr(sK0),sK1),
inference(definition_unfolding,[],[f36608,f36609]) ).
fof(f36730,plain,
! [X2,X0] :
( ~ r2_hidden(X2,X0)
| np__0 != X0 ),
inference(definition_unfolding,[],[f36647,f36609]) ).
fof(f36739,plain,
! [X2] : ~ r2_hidden(X2,np__0),
inference(equality_resolution,[],[f36730]) ).
fof(f36852,plain,
( r2_hidden(k2_group_1(sK0),np__0)
| ~ v1_group_1(sK1)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(superposition,[],[f36681,f36691]) ).
fof(f36853,plain,
( ~ v1_group_1(sK1)
| ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f36852,f36739]) ).
fof(f36854,plain,
( ~ m1_group_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f36853,f36607]) ).
fof(f36855,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f36854,f36606]) ).
fof(f36856,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f36855,f36605]) ).
fof(f36857,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f36856,f36604]) ).
fof(f36858,plain,
~ l1_group_1(sK0),
inference(forward_subsumption_resolution,[],[f36857,f36603]) ).
fof(f36859,plain,
$false,
inference(forward_subsumption_resolution,[],[f36858,f36602]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP642+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 10:25:44 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.26/4.17 % (3338713)Detected formulas, will run a generic FOF schedule.
% 9.26/4.17 % (3338721)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1284506854:i=109:sd=1:ins=1:gsp=on:ss=axioms_2976 on theBenchmark for (2976ds/109Mi)
% 9.26/4.17 % (3338719)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=1392779305:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2976 on theBenchmark for (2976ds/134677Mi)
% 9.26/4.17 % (3338718)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=3663486671:i=141193_2976 on theBenchmark for (2976ds/141193Mi)
% 9.26/4.17 % (3338720)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=2103570972:i=141695:sd=1:nm=32:gsp=on:ss=included_2976 on theBenchmark for (2976ds/141695Mi)
% 9.26/4.17 % (3338723)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=80048759:s2a=on:i=139:gtg=position_2976 on theBenchmark for (2976ds/139Mi)
% 9.26/4.17 % (3338722)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3983944685:i=119:av=off:ss=axioms_2976 on theBenchmark for (2976ds/119Mi)
% 9.26/4.17 % (3338721)Instruction limit reached!
% 9.26/4.17 % (3338721)------------------------------
% 9.26/4.17 % (3338721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/4.17 % (3338721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/4.17 % (3338721)CaDiCaL version: 2.1.3
% 9.26/4.17 % (3338721)Termination reason: Instruction limit
% 9.26/4.17 % (3338721)Termination phase: SInE selection
% 9.26/4.17 % (3338721)Time elapsed: 0.053 s
% 9.26/4.17 % (3338721)Peak memory usage: 139 MB
% 9.26/4.17 % (3338721)Instructions burned: 110 (million)
% 9.26/4.17 % (3338724)dis-21_1_sil=8000:lcm=predicate:random_seed=3625881625:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2976 on theBenchmark for (2976ds/129Mi)
% 9.26/4.17 % (3338723)Instruction limit reached!
% 9.26/4.17 % (3338723)------------------------------
% 9.26/4.17 % (3338723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/4.17 % (3338723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/4.17 % (3338723)CaDiCaL version: 2.1.3
% 9.26/4.17 % (3338723)Termination reason: Instruction limit
% 9.26/4.17 % (3338723)Termination phase: Property scanning
% 9.26/4.17 % (3338723)Time elapsed: 0.064 s
% 9.26/4.17 % (3338723)Peak memory usage: 139 MB
% 9.26/4.17 % (3338723)Instructions burned: 140 (million)
% 9.26/4.17 % (3338722)Instruction limit reached!
% 9.26/4.17 % (3338722)------------------------------
% 9.26/4.17 % (3338722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/4.17 % (3338722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/4.17 % (3338722)CaDiCaL version: 2.1.3
% 9.26/4.17 % (3338722)Termination reason: Instruction limit
% 9.26/4.17 % (3338722)Termination phase: SInE selection
% 9.26/4.17 % (3338722)Time elapsed: 0.096 s
% 9.26/4.17 % (3338722)Peak memory usage: 138 MB
% 9.26/4.17 % (3338722)Instructions burned: 120 (million)
% 9.26/4.17 % (3338724)Instruction limit reached!
% 9.26/4.17 % (3338724)------------------------------
% 9.26/4.17 % (3338724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/4.17 % (3338724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/4.17 % (3338724)CaDiCaL version: 2.1.3
% 9.26/4.17 % (3338724)Termination reason: Instruction limit
% 9.26/4.17 % (3338724)Termination phase: SInE selection
% 9.26/4.17 % (3338724)Time elapsed: 0.101 s
% 9.26/4.17 % (3338724)Peak memory usage: 139 MB
% 9.26/4.17 % (3338724)Instructions burned: 130 (million)
% 9.26/4.17 % (3338731)lrs+10_1_sil=8000:sp=occurrence:random_seed=1139004816:i=285:sd=3:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/285Mi)
% 9.26/4.17 % (3338733)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2756794995:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/157Mi)
% 9.26/4.17 % (3338734)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4290469295:i=325:sd=1:ss=axioms:sgt=32_2973 on theBenchmark for (2973ds/325Mi)
% 9.26/4.17 % (3338731)Instruction limit reached!
% 9.26/4.17 % (3338731)------------------------------
% 9.26/4.17 % (3338731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/4.17 % (3338731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.29 % (3338731)CaDiCaL version: 2.1.3
% 9.63/4.29 % (3338731)Termination reason: Instruction limit
% 9.63/4.29 % (3338731)Termination phase: Saturation
% 9.63/4.29 % (3338731)Time elapsed: 0.132 s
% 9.63/4.29 % (3338731)Peak memory usage: 144 MB
% 9.63/4.29 % (3338731)Instructions burned: 287 (million)
% 9.63/4.29 % (3338736)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=2503550402:s2a=on:i=248:s2at=1.23:gtg=position_2973 on theBenchmark for (2973ds/248Mi)
% 9.63/4.29 % (3338733)Instruction limit reached!
% 9.63/4.29 % (3338733)------------------------------
% 9.63/4.29 % (3338733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.29 % (3338733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.29 % (3338733)CaDiCaL version: 2.1.3
% 9.63/4.29 % (3338733)Termination reason: Instruction limit
% 9.63/4.29 % (3338733)Termination phase: Property scanning
% 9.63/4.29 % (3338733)Time elapsed: 0.071 s
% 9.63/4.29 % (3338733)Peak memory usage: 139 MB
% 9.63/4.29 % (3338733)Instructions burned: 157 (million)
% 9.63/4.29 % (3338739)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3751970950:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2971 on theBenchmark for (2971ds/294Mi)
% 9.63/4.29 % (3338736)Instruction limit reached!
% 9.63/4.29 % (3338736)------------------------------
% 9.63/4.29 % (3338736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.29 % (3338736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.29 % (3338736)CaDiCaL version: 2.1.3
% 9.63/4.29 % (3338736)Termination reason: Instruction limit
% 9.63/4.29 % (3338736)Termination phase: Property scanning
% 9.63/4.29 % (3338736)Time elapsed: 0.111 s
% 9.63/4.29 % (3338736)Peak memory usage: 139 MB
% 9.63/4.29 % (3338736)Instructions burned: 250 (million)
% 9.63/4.29 % (3338741)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=131998218:i=2350_2971 on theBenchmark for (2971ds/2350Mi)
% 9.63/4.29 % (3338734)First to succeed.
% 9.63/4.29 % (3338734)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3338713"
% 9.63/4.29 % (3338739)Instruction limit reached!
% 9.63/4.29 % (3338739)------------------------------
% 9.63/4.29 % (3338739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.29 % (3338739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.29 % (3338739)CaDiCaL version: 2.1.3
% 9.63/4.29 % (3338739)Termination reason: Instruction limit
% 9.63/4.29 % (3338739)Termination phase: SInE selection
% 9.63/4.29 % (3338739)Time elapsed: 0.106 s
% 9.63/4.29 % (3338739)Peak memory usage: 140 MB
% 9.63/4.29 % (3338739)Instructions burned: 296 (million)
% 9.63/4.29 % (3338743)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=479441077:cts=off:i=113:fsr=off:ss=included:sgt=4_2970 on theBenchmark for (2970ds/113Mi)
% 9.63/4.29 % (3338745)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2042236721:i=127:av=off:fsr=off:sup=off_2969 on theBenchmark for (2969ds/127Mi)
% 9.63/4.29 % (3338743)Instruction limit reached!
% 9.63/4.29 % (3338743)------------------------------
% 9.63/4.29 % (3338743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.29 % (3338743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.29 % (3338743)CaDiCaL version: 2.1.3
% 9.63/4.29 % (3338743)Termination reason: Instruction limit
% 9.63/4.29 % (3338743)Termination phase: SInE selection
% 9.63/4.29 % (3338743)Time elapsed: 0.088 s
% 9.63/4.29 % (3338743)Peak memory usage: 139 MB
% 9.63/4.29 % (3338743)Instructions burned: 113 (million)
% 9.63/4.29 % (3338745)Instruction limit reached!
% 9.63/4.29 % (3338745)------------------------------
% 9.63/4.29 % (3338745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.29 % (3338745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.29 % (3338745)CaDiCaL version: 2.1.3
% 9.63/4.29 % (3338745)Termination reason: Instruction limit
% 9.63/4.29 % (3338745)Termination phase: Preprocessing 1
% 9.63/4.29 % (3338745)Time elapsed: 0.056 s
% 9.63/4.29 % (3338745)Peak memory usage: 140 MB
% 9.63/4.29 % (3338745)Instructions burned: 129 (million)
% 9.63/4.29 % (3338734)Refutation found. Thanks to Tanya!
% 9.63/4.29 % SZS status Theorem for theBenchmark
% 9.63/4.29 % SZS output start Proof for theBenchmark
% See solution above
% 9.63/4.29 % (3338734)------------------------------
% 9.63/4.29 % (3338734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/4.29 % (3338734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/4.29 % (3338734)CaDiCaL version: 2.1.3
% 9.63/4.29 % (3338734)Termination reason: Refutation
% 9.63/4.29 % (3338734)Time elapsed: 0.216 s
% 9.63/4.29 % (3338734)Peak memory usage: 146 MB
% 9.63/4.29 % (3338734)Instructions burned: 269 (million)
% 9.63/4.29 % (3338734)------------------------------
% 9.63/4.29 % (3338734)------------------------------
% 9.63/4.29 % (3338713)Success in time 3.317 s
% 9.63/4.29 % Vampire exiting
%------------------------------------------------------------------------------