%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG227+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 : n007.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 09:19:29 AM UTC 2026
% Result : Theorem 13.30s 5.05s
% Output : Refutation 13.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 31 ( 8 unt; 0 def)
% Number of atoms : 127 ( 40 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 156 ( 60 ~; 51 |; 29 &)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 59 ( 48 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42783,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_pboole(X2,X1) )
=> ( r2_hidden(X0,a_2_0_closure3(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_closure3) ).
fof(f42808,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( X2 = k1_closure3(X0,X1)
<=> X2 = a_2_0_closure3(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_closure3) ).
fof(f42811,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( ~ r2_hidden(X2,k1_closure3(X0,X1))
=> k1_funct_1(X1,X2) = k1_xboole_0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_closure3) ).
fof(f42812,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( ~ r2_hidden(X2,k1_closure3(X0,X1))
=> k1_funct_1(X1,X2) = k1_xboole_0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f42811]) ).
fof(f42846,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(ennf_transformation,[],[f42783]) ).
fof(f42847,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(flattening,[],[f42846]) ).
fof(f42887,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k1_closure3(X0,X1)
<=> X2 = a_2_0_closure3(X0,X1) )
| ~ m1_pboole(X1,X0) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f42808]) ).
fof(f42892,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_xboole_0 != k1_funct_1(X1,X2)
& ~ r2_hidden(X2,k1_closure3(X0,X1))
& m1_subset_1(X2,X0) )
& m1_pboole(X1,X0) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f42812]) ).
fof(f42893,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_xboole_0 != k1_funct_1(X1,X2)
& ~ r2_hidden(X2,k1_closure3(X0,X1))
& m1_subset_1(X2,X0) )
& m1_pboole(X1,X0) )
& ~ v1_xboole_0(X0) ),
inference(flattening,[],[f42892]) ).
fof(f43458,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3) ) )
& ( ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 )
| ~ r2_hidden(X0,a_2_0_closure3(X1,X2)) ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(nnf_transformation,[],[f42847]) ).
fof(f43459,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3) ) )
& ( ? [X4] :
( m1_subset_1(X4,X1)
& X0 = X4
& k1_xboole_0 != k1_funct_1(X2,X4) )
| ~ r2_hidden(X0,a_2_0_closure3(X1,X2)) ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(rectify,[],[f43458]) ).
fof(f43460,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3) ) )
& ( ( m1_subset_1(sK0(X0,X1,X2),X1)
& sK0(X0,X1,X2) = X0
& k1_xboole_0 != k1_funct_1(X2,sK0(X0,X1,X2)) )
| ~ r2_hidden(X0,a_2_0_closure3(X1,X2)) ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X4,sK0(X0,X1,X2))],[f43459]) ).
fof(f43469,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_closure3(X0,X1)
| a_2_0_closure3(X0,X1) != X2 )
& ( X2 = a_2_0_closure3(X0,X1)
| k1_closure3(X0,X1) != X2 ) )
| ~ m1_pboole(X1,X0) )
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f42887]) ).
fof(f43470,plain,
( k1_xboole_0 != k1_funct_1(sK7,sK8)
& ~ r2_hidden(sK8,k1_closure3(sK6,sK7))
& m1_subset_1(sK8,sK6)
& m1_pboole(sK7,sK6)
& ~ v1_xboole_0(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8)],[f42893]) ).
fof(f43633,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3)
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(cnf_transformation,[],[f43460]) ).
fof(f43664,plain,
! [X2,X0,X1] :
( k1_closure3(X0,X1) = X2
| a_2_0_closure3(X0,X1) != X2
| ~ m1_pboole(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f43469]) ).
fof(f43667,plain,
~ v1_xboole_0(sK6),
inference(cnf_transformation,[],[f43470]) ).
fof(f43668,plain,
m1_pboole(sK7,sK6),
inference(cnf_transformation,[],[f43470]) ).
fof(f43669,plain,
m1_subset_1(sK8,sK6),
inference(cnf_transformation,[],[f43470]) ).
fof(f43670,plain,
~ r2_hidden(sK8,k1_closure3(sK6,sK7)),
inference(cnf_transformation,[],[f43470]) ).
fof(f43671,plain,
k1_xboole_0 != k1_funct_1(sK7,sK8),
inference(cnf_transformation,[],[f43470]) ).
fof(f44344,plain,
! [X2,X3,X1] :
( r2_hidden(X3,a_2_0_closure3(X1,X2))
| ~ m1_subset_1(X3,X1)
| k1_xboole_0 = k1_funct_1(X2,X3)
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(equality_resolution,[],[f43633]) ).
fof(f44345,plain,
! [X0,X1] :
( k1_closure3(X0,X1) = a_2_0_closure3(X0,X1)
| ~ m1_pboole(X1,X0)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f43664]) ).
fof(f44415,plain,
( ~ r2_hidden(sK8,a_2_0_closure3(sK6,sK7))
| ~ m1_pboole(sK7,sK6)
| v1_xboole_0(sK6) ),
inference(superposition,[],[f43670,f44345]) ).
fof(f44416,plain,
( ~ r2_hidden(sK8,a_2_0_closure3(sK6,sK7))
| v1_xboole_0(sK6) ),
inference(forward_subsumption_resolution,[],[f44415,f43668]) ).
fof(f44426,plain,
~ r2_hidden(sK8,a_2_0_closure3(sK6,sK7)),
inference(forward_subsumption_resolution,[],[f44416,f43667]) ).
fof(f44443,plain,
( ~ m1_subset_1(sK8,sK6)
| k1_xboole_0 = k1_funct_1(sK7,sK8)
| v1_xboole_0(sK6)
| ~ m1_pboole(sK7,sK6) ),
inference(resolution,[],[f44426,f44344]) ).
fof(f44455,plain,
( k1_xboole_0 = k1_funct_1(sK7,sK8)
| v1_xboole_0(sK6)
| ~ m1_pboole(sK7,sK6) ),
inference(forward_subsumption_resolution,[],[f44443,f43669]) ).
fof(f44456,plain,
( v1_xboole_0(sK6)
| ~ m1_pboole(sK7,sK6) ),
inference(forward_subsumption_resolution,[],[f44455,f43671]) ).
fof(f44457,plain,
~ m1_pboole(sK7,sK6),
inference(forward_subsumption_resolution,[],[f44456,f43667]) ).
fof(f44458,plain,
$false,
inference(forward_subsumption_resolution,[],[f44457,f43668]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG227+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n007.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 19:50:48 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.20 Running first-order theorem proving
% 0.06/0.20 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
% 10.74/4.93 % (2743379)Detected formulas, will run a generic FOF schedule.
% 10.74/4.93 % (2743389)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2542929916:s2a=on:i=139:gtg=position_2971 on theBenchmark for (2971ds/139Mi)
% 10.74/4.93 % (2743384)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=4183801654:i=141193_2971 on theBenchmark for (2971ds/141193Mi)
% 10.74/4.93 % (2743385)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=1712205503:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2971 on theBenchmark for (2971ds/134677Mi)
% 10.74/4.93 % (2743386)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=2418427577:i=141695:sd=1:nm=32:gsp=on:ss=included_2971 on theBenchmark for (2971ds/141695Mi)
% 10.74/4.93 % (2743388)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2361279131:i=119:av=off:ss=axioms_2971 on theBenchmark for (2971ds/119Mi)
% 10.74/4.93 % (2743387)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3242191778:i=109:sd=1:ins=1:gsp=on:ss=axioms_2971 on theBenchmark for (2971ds/109Mi)
% 10.74/4.93 % (2743389)Instruction limit reached!
% 10.74/4.93 % (2743389)------------------------------
% 10.74/4.93 % (2743389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/4.93 % (2743389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.93 % (2743389)CaDiCaL version: 2.1.3
% 10.74/4.93 % (2743389)Termination reason: Instruction limit
% 10.74/4.93 % (2743389)Termination phase: Property scanning
% 10.74/4.93 % (2743389)Time elapsed: 0.035 s
% 10.74/4.93 % (2743389)Peak memory usage: 149 MB
% 10.74/4.93 % (2743389)Instructions burned: 141 (million)
% 10.74/4.93 % (2743390)dis-21_1_sil=8000:lcm=predicate:random_seed=806944141:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2971 on theBenchmark for (2971ds/129Mi)
% 10.74/4.93 % (2743387)Instruction limit reached!
% 10.74/4.93 % (2743387)------------------------------
% 10.74/4.93 % (2743387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/4.93 % (2743387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.93 % (2743387)CaDiCaL version: 2.1.3
% 10.74/4.93 % (2743387)Termination reason: Instruction limit
% 10.74/4.93 % (2743387)Termination phase: SInE selection
% 10.74/4.93 % (2743387)Time elapsed: 0.082 s
% 10.74/4.93 % (2743387)Peak memory usage: 148 MB
% 10.74/4.93 % (2743387)Instructions burned: 110 (million)
% 10.74/4.93 % (2743388)Instruction limit reached!
% 10.74/4.93 % (2743388)------------------------------
% 10.74/4.93 % (2743388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/4.93 % (2743388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.93 % (2743388)CaDiCaL version: 2.1.3
% 10.74/4.93 % (2743388)Termination reason: Instruction limit
% 10.74/4.93 % (2743388)Termination phase: SInE selection
% 10.74/4.93 % (2743388)Time elapsed: 0.089 s
% 10.74/4.93 % (2743388)Peak memory usage: 148 MB
% 10.74/4.93 % (2743388)Instructions burned: 119 (million)
% 10.74/4.93 % (2743390)Instruction limit reached!
% 10.74/4.93 % (2743390)------------------------------
% 10.74/4.93 % (2743390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/4.93 % (2743390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.93 % (2743390)CaDiCaL version: 2.1.3
% 10.74/4.93 % (2743390)Termination reason: Instruction limit
% 10.74/4.93 % (2743390)Termination phase: SInE selection
% 10.74/4.93 % (2743390)Time elapsed: 0.101 s
% 10.74/4.93 % (2743390)Peak memory usage: 149 MB
% 10.74/4.93 % (2743390)Instructions burned: 129 (million)
% 10.74/4.93 % (2743398)lrs+10_1_sil=8000:sp=occurrence:random_seed=2161742338:i=285:sd=3:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/285Mi)
% 10.74/4.93 % (2743399)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2071099815:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/157Mi)
% 10.74/4.93 % (2743400)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2179573676:i=325:sd=1:ss=axioms:sgt=32_2968 on theBenchmark for (2968ds/325Mi)
% 10.74/4.93 % (2743401)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=2685464490:s2a=on:i=248:s2at=1.23:gtg=position_2968 on theBenchmark for (2968ds/248Mi)
% 10.74/4.93 % (2743398)Instruction limit reached!
% 10.74/4.93 % (2743398)------------------------------
% 10.74/4.93 % (2743398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/4.93 % (2743398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.93 % (2743398)CaDiCaL version: 2.1.3
% 10.74/4.93 % (2743398)Termination reason: Instruction limit
% 10.74/4.93 % (2743398)Termination phase: SInE selection
% 10.74/4.93 % (2743398)Time elapsed: 0.126 s
% 10.74/4.93 % (2743398)Peak memory usage: 149 MB
% 10.74/4.93 % (2743398)Instructions burned: 289 (million)
% 10.74/4.93 % (2743399)Instruction limit reached!
% 10.74/4.93 % (2743399)------------------------------
% 10.74/4.93 % (2743399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/4.93 % (2743399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.93 % (2743399)CaDiCaL version: 2.1.3
% 10.74/4.93 % (2743399)Termination reason: Instruction limit
% 10.74/4.93 % (2743399)Termination phase: Property scanning
% 10.74/4.93 % (2743399)Time elapsed: 0.071 s
% 10.74/4.93 % (2743399)Peak memory usage: 149 MB
% 10.74/4.93 % (2743399)Instructions burned: 158 (million)
% 10.74/4.93 % (2743401)Instruction limit reached!
% 10.74/4.93 % (2743401)------------------------------
% 10.74/4.93 % (2743401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/4.93 % (2743401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.93 % (2743401)CaDiCaL version: 2.1.3
% 10.74/4.93 % (2743401)Termination reason: Instruction limit
% 10.74/4.93 % (2743401)Termination phase: Property scanning
% 10.74/4.93 % (2743401)Time elapsed: 0.110 s
% 10.74/4.93 % (2743401)Peak memory usage: 149 MB
% 10.74/4.93 % (2743401)Instructions burned: 250 (million)
% 10.74/4.93 % (2743406)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=263357407:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2966 on theBenchmark for (2966ds/294Mi)
% 10.74/4.93 % (2743407)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1764898108:i=2350_2966 on theBenchmark for (2966ds/2350Mi)
% 10.74/4.93 % (2743400)Instruction limit reached!
% 10.74/4.93 % (2743400)------------------------------
% 10.74/4.93 % (2743400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/4.93 % (2743400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.93 % (2743400)CaDiCaL version: 2.1.3
% 10.74/4.93 % (2743400)Termination reason: Instruction limit
% 10.74/4.93 % (2743400)Termination phase: Saturation
% 10.74/4.93 % (2743400)Time elapsed: 0.263 s
% 10.74/4.93 % (2743400)Peak memory usage: 155 MB
% 10.74/4.93 % (2743400)Instructions burned: 326 (million)
% 10.74/4.93 % (2743406)Instruction limit reached!
% 10.74/4.93 % (2743406)------------------------------
% 10.74/4.93 % (2743406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/4.93 % (2743406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.93 % (2743406)CaDiCaL version: 2.1.3
% 10.74/4.93 % (2743406)Termination reason: Instruction limit
% 10.74/4.93 % (2743406)Termination phase: SInE selection
% 10.74/4.93 % (2743406)Time elapsed: 0.111 s
% 10.74/4.93 % (2743406)Peak memory usage: 149 MB
% 10.74/4.93 % (2743406)Instructions burned: 298 (million)
% 10.74/4.93 % (2743408)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3774130679:cts=off:i=113:fsr=off:ss=included:sgt=4_2965 on theBenchmark for (2965ds/113Mi)
% 10.74/4.93 % (2743408)Instruction limit reached!
% 10.74/4.93 % (2743408)------------------------------
% 10.74/4.93 % (2743408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/4.93 % (2743408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/4.93 % (2743408)CaDiCaL version: 2.1.3
% 10.74/4.93 % (2743408)Termination reason: Instruction limit
% 10.74/4.93 % (2743408)Termination phase: SInE selection
% 10.74/4.93 % (2743408)Time elapsed: 0.088 s
% 10.74/4.93 % (2743408)Peak memory usage: 149 MB
% 10.74/4.93 % (2743408)Instructions burned: 113 (million)
% 10.74/4.93 % (2743411)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1002648498:i=127:av=off:fsr=off:sup=off_2964 on theBenchmark for (2964ds/127Mi)
% 10.74/4.93 % (2743412)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3258164004:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2963 on theBenchmark for (2963ds/114Mi)
% 10.74/4.93 % (2743412)Instruction limit reached!
% 10.74/4.93 % (2743412)------------------------------
% 10.74/4.93 % (2743412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/5.05 % (2743412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.30/5.05 % (2743412)CaDiCaL version: 2.1.3
% 13.30/5.05 % (2743412)Termination reason: Instruction limit
% 13.30/5.05 % (2743412)Termination phase: Property scanning
% 13.30/5.05 % (2743412)Time elapsed: 0.031 s
% 13.30/5.05 % (2743412)Peak memory usage: 149 MB
% 13.30/5.05 % (2743412)Instructions burned: 118 (million)
% 13.30/5.05 % (2743411)Instruction limit reached!
% 13.30/5.05 % (2743411)------------------------------
% 13.30/5.05 % (2743411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/5.05 % (2743411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.30/5.05 % (2743411)CaDiCaL version: 2.1.3
% 13.30/5.05 % (2743411)Termination reason: Instruction limit
% 13.30/5.05 % (2743411)Termination phase: Preprocessing 1
% 13.30/5.05 % (2743411)Time elapsed: 0.095 s
% 13.30/5.05 % (2743411)Peak memory usage: 150 MB
% 13.30/5.05 % (2743411)Instructions burned: 128 (million)
% 13.30/5.05 % (2743414)lrs+10_1_sil=8000:sp=occurrence:random_seed=3721593761:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2962 on theBenchmark for (2962ds/907Mi)
% 13.30/5.05 % (2743417)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1986572693:i=437:sd=1:aac=none:ss=included_2962 on theBenchmark for (2962ds/437Mi)
% 13.30/5.05 % (2743418)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3059081270:i=5202:ss=axioms:sgt=16_2961 on theBenchmark for (2961ds/5202Mi)
% 13.30/5.05 % (2743417)First to succeed.
% 13.30/5.05 % (2743417)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2743379"
% 13.30/5.05 % (2743417)Refutation found. Thanks to Tanya!
% 13.30/5.05 % SZS status Theorem for theBenchmark
% 13.30/5.05 % SZS output start Proof for theBenchmark
% See solution above
% 13.30/5.05 % (2743417)------------------------------
% 13.30/5.05 % (2743417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/5.05 % (2743417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.30/5.05 % (2743417)CaDiCaL version: 2.1.3
% 13.30/5.05 % (2743417)Termination reason: Refutation
% 13.30/5.05 % (2743417)Time elapsed: 0.163 s
% 13.30/5.05 % (2743417)Peak memory usage: 155 MB
% 13.30/5.05 % (2743417)Instructions burned: 366 (million)
% 13.30/5.05 % (2743417)------------------------------
% 13.30/5.05 % (2743417)------------------------------
% 13.30/5.05 % (2743379)Success in time 4.275 s
% 13.30/5.05 % Vampire exiting
%------------------------------------------------------------------------------