%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG226+2 : 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 : n018.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 09:19:28 AM UTC 2026
% Result : Theorem 5.37s 1.60s
% Output : Refutation 5.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 50 ( 18 unt; 0 def)
% Number of atoms : 155 ( 44 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 164 ( 59 ~; 53 |; 32 &)
% ( 5 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 65 ( 59 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3146,axiom,
! [X0,X1,X2] :
( ( m1_pboole(X1,X0)
& m1_pboole(X2,X0) )
=> ( r6_pboole(X0,X1,X2)
=> r6_pboole(X0,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r6_pboole) ).
fof(f3148,axiom,
! [X0,X1,X2] :
( ( m1_pboole(X1,X0)
& m1_pboole(X2,X0) )
=> ( r6_pboole(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r6_pboole) ).
fof(f4729,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(f4730,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( v2_relat_1(X1)
& m1_pboole(X1,X0) )
=> X1 = k1_funct_4(k1_pboole(X0),k7_relat_1(X1,k1_closure3(X0,X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_closure3) ).
fof(f4731,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( v2_relat_1(X1)
& m1_pboole(X1,X0) )
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X0) )
=> ( ( k1_closure3(X0,X1) = k1_closure3(X0,X2)
& k7_relat_1(X1,k1_closure3(X0,X1)) = k7_relat_1(X2,k1_closure3(X0,X2)) )
=> r6_pboole(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_closure3) ).
fof(f4732,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( v2_relat_1(X1)
& m1_pboole(X1,X0) )
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X0) )
=> ( ( k1_closure3(X0,X1) = k1_closure3(X0,X2)
& k7_relat_1(X1,k1_closure3(X0,X1)) = k7_relat_1(X2,k1_closure3(X0,X2)) )
=> r6_pboole(X0,X1,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4731]) ).
fof(f4735,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r6_pboole(X0,X1,X2)
& k1_closure3(X0,X1) = k1_closure3(X0,X2)
& k7_relat_1(X1,k1_closure3(X0,X1)) = k7_relat_1(X2,k1_closure3(X0,X2))
& v2_relat_1(X2)
& m1_pboole(X2,X0) )
& v2_relat_1(X1)
& m1_pboole(X1,X0) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f4732]) ).
fof(f4736,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r6_pboole(X0,X1,X2)
& k1_closure3(X0,X1) = k1_closure3(X0,X2)
& k7_relat_1(X1,k1_closure3(X0,X1)) = k7_relat_1(X2,k1_closure3(X0,X2))
& v2_relat_1(X2)
& m1_pboole(X2,X0) )
& v2_relat_1(X1)
& m1_pboole(X1,X0) )
& ~ v1_xboole_0(X0) ),
inference(flattening,[],[f4735]) ).
fof(f4817,plain,
! [X0,X1,X2] :
( ( r6_pboole(X0,X1,X2)
<=> X1 = X2 )
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(ennf_transformation,[],[f3148]) ).
fof(f4818,plain,
! [X0,X1,X2] :
( ( r6_pboole(X0,X1,X2)
<=> X1 = X2 )
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(flattening,[],[f4817]) ).
fof(f4821,plain,
! [X0,X1,X2] :
( r6_pboole(X0,X2,X1)
| ~ r6_pboole(X0,X1,X2)
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(ennf_transformation,[],[f3146]) ).
fof(f4822,plain,
! [X0,X1,X2] :
( r6_pboole(X0,X2,X1)
| ~ r6_pboole(X0,X1,X2)
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(flattening,[],[f4821]) ).
fof(f4823,plain,
! [X0] :
( ! [X1] :
( X1 = k1_funct_4(k1_pboole(X0),k7_relat_1(X1,k1_closure3(X0,X1)))
| ~ v2_relat_1(X1)
| ~ m1_pboole(X1,X0) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f4730]) ).
fof(f4824,plain,
! [X0] :
( ! [X1] :
( X1 = k1_funct_4(k1_pboole(X0),k7_relat_1(X1,k1_closure3(X0,X1)))
| ~ v2_relat_1(X1)
| ~ m1_pboole(X1,X0) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f4823]) ).
fof(f4825,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,[],[f4729]) ).
fof(f4826,plain,
( ~ r6_pboole(sK0,sK1,sK2)
& k1_closure3(sK0,sK1) = k1_closure3(sK0,sK2)
& k7_relat_1(sK1,k1_closure3(sK0,sK1)) = k7_relat_1(sK2,k1_closure3(sK0,sK2))
& v2_relat_1(sK2)
& m1_pboole(sK2,sK0)
& v2_relat_1(sK1)
& m1_pboole(sK1,sK0)
& ~ v1_xboole_0(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f4736]) ).
fof(f4854,plain,
! [X0,X1,X2] :
( ( ( r6_pboole(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r6_pboole(X0,X1,X2) ) )
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(nnf_transformation,[],[f4818]) ).
fof(f4855,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,[],[f4825]) ).
fof(f4856,plain,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f4826]) ).
fof(f4857,plain,
m1_pboole(sK1,sK0),
inference(cnf_transformation,[],[f4826]) ).
fof(f4858,plain,
v2_relat_1(sK1),
inference(cnf_transformation,[],[f4826]) ).
fof(f4859,plain,
m1_pboole(sK2,sK0),
inference(cnf_transformation,[],[f4826]) ).
fof(f4860,plain,
v2_relat_1(sK2),
inference(cnf_transformation,[],[f4826]) ).
fof(f4861,plain,
k7_relat_1(sK1,k1_closure3(sK0,sK1)) = k7_relat_1(sK2,k1_closure3(sK0,sK2)),
inference(cnf_transformation,[],[f4826]) ).
fof(f4863,plain,
~ r6_pboole(sK0,sK1,sK2),
inference(cnf_transformation,[],[f4826]) ).
fof(f4965,plain,
! [X2,X0,X1] :
( r6_pboole(X0,X1,X2)
| X1 != X2
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(cnf_transformation,[],[f4854]) ).
fof(f4967,plain,
! [X2,X0,X1] :
( r6_pboole(X0,X2,X1)
| ~ r6_pboole(X0,X1,X2)
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(cnf_transformation,[],[f4822]) ).
fof(f4968,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| ~ v2_relat_1(X1)
| k1_funct_4(k1_pboole(X0),k7_relat_1(X1,k1_closure3(X0,X1))) = X1
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f4824]) ).
fof(f4969,plain,
! [X2,X0,X1] :
( a_2_0_closure3(X0,X1) = X2
| k1_closure3(X0,X1) != X2
| ~ m1_pboole(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f4855]) ).
fof(f4976,plain,
! [X2,X0] :
( r6_pboole(X0,X2,X2)
| ~ m1_pboole(X2,X0)
| ~ m1_pboole(X2,X0) ),
inference(equality_resolution,[],[f4965]) ).
fof(f4978,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| k1_closure3(X0,X1) = a_2_0_closure3(X0,X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f4969]) ).
fof(f4979,plain,
! [X2,X0] :
( r6_pboole(X0,X2,X2)
| ~ m1_pboole(X2,X0) ),
inference(duplicate_literal_removal,[],[f4976]) ).
fof(f5321,plain,
( k1_closure3(sK0,sK1) = a_2_0_closure3(sK0,sK1)
| v1_xboole_0(sK0) ),
inference(resolution,[],[f4978,f4857]) ).
fof(f5326,plain,
k1_closure3(sK0,sK1) = a_2_0_closure3(sK0,sK1),
inference(forward_subsumption_resolution,[],[f5321,f4856]) ).
fof(f5510,plain,
( ~ r6_pboole(sK0,sK2,sK1)
| ~ m1_pboole(sK2,sK0)
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f4967,f4863]) ).
fof(f5513,plain,
( ~ r6_pboole(sK0,sK2,sK1)
| ~ m1_pboole(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f5510,f4859]) ).
fof(f5514,plain,
~ r6_pboole(sK0,sK2,sK1),
inference(forward_subsumption_resolution,[],[f5513,f4857]) ).
fof(f5744,plain,
( ~ v2_relat_1(sK1)
| sK1 = k1_funct_4(k1_pboole(sK0),k7_relat_1(sK1,k1_closure3(sK0,sK1)))
| v1_xboole_0(sK0) ),
inference(resolution,[],[f4968,f4857]) ).
fof(f5745,plain,
( ~ v2_relat_1(sK2)
| sK2 = k1_funct_4(k1_pboole(sK0),k7_relat_1(sK2,k1_closure3(sK0,sK2)))
| v1_xboole_0(sK0) ),
inference(resolution,[],[f4968,f4859]) ).
fof(f5749,plain,
( sK2 = k1_funct_4(k1_pboole(sK0),k7_relat_1(sK2,k1_closure3(sK0,sK2)))
| v1_xboole_0(sK0) ),
inference(forward_subsumption_resolution,[],[f5745,f4860]) ).
fof(f5750,plain,
( sK1 = k1_funct_4(k1_pboole(sK0),k7_relat_1(sK1,k1_closure3(sK0,sK1)))
| v1_xboole_0(sK0) ),
inference(forward_subsumption_resolution,[],[f5744,f4858]) ).
fof(f5751,plain,
sK2 = k1_funct_4(k1_pboole(sK0),k7_relat_1(sK2,k1_closure3(sK0,sK2))),
inference(forward_subsumption_resolution,[],[f5749,f4856]) ).
fof(f5752,plain,
sK1 = k1_funct_4(k1_pboole(sK0),k7_relat_1(sK1,k1_closure3(sK0,sK1))),
inference(forward_subsumption_resolution,[],[f5750,f4856]) ).
fof(f5753,plain,
sK2 = k1_funct_4(k1_pboole(sK0),k7_relat_1(sK1,k1_closure3(sK0,sK1))),
inference(forward_demodulation,[],[f5751,f4861]) ).
fof(f5754,plain,
sK1 = k1_funct_4(k1_pboole(sK0),k7_relat_1(sK1,a_2_0_closure3(sK0,sK1))),
inference(forward_demodulation,[],[f5752,f5326]) ).
fof(f5755,plain,
sK2 = k1_funct_4(k1_pboole(sK0),k7_relat_1(sK1,a_2_0_closure3(sK0,sK1))),
inference(forward_demodulation,[],[f5753,f5326]) ).
fof(f5756,plain,
sK1 = sK2,
inference(forward_demodulation,[],[f5755,f5754]) ).
fof(f5788,plain,
~ r6_pboole(sK0,sK1,sK1),
inference(superposition,[],[f5514,f5756]) ).
fof(f5942,plain,
~ m1_pboole(sK1,sK0),
inference(resolution,[],[f5788,f4979]) ).
fof(f5945,plain,
$false,
inference(forward_subsumption_resolution,[],[f5942,f4857]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG226+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n018.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 19:52:56 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 4.38/1.51 % (3703298)Detected formulas, will run a generic FOF schedule.
% 4.38/1.51 % (3703309)dis-21_1_sil=8000:lcm=predicate:random_seed=2602012050:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 4.38/1.51 % (3703303)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=1002958519:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 4.38/1.51 % (3703307)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3190574858:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 4.38/1.51 % (3703306)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2534052920:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 4.38/1.51 % (3703305)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=1162670489:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 4.38/1.51 % (3703304)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=3115781508:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 4.38/1.51 % (3703308)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4115808304:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 4.38/1.51 % (3703309)Instruction limit reached!
% 4.38/1.51 % (3703309)------------------------------
% 4.38/1.51 % (3703309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.51 % (3703309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.51 % (3703309)CaDiCaL version: 2.1.3
% 4.38/1.51 % (3703309)Termination reason: Instruction limit
% 4.38/1.51 % (3703309)Termination phase: Preprocessing 3
% 4.38/1.51 % (3703309)Time elapsed: 0.055 s
% 4.38/1.51 % (3703309)Peak memory usage: 95 MB
% 4.38/1.51 % (3703309)Instructions burned: 132 (million)
% 4.38/1.51 % (3703306)Instruction limit reached!
% 4.38/1.51 % (3703306)------------------------------
% 4.38/1.51 % (3703306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.51 % (3703306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.51 % (3703306)CaDiCaL version: 2.1.3
% 4.38/1.51 % (3703306)Termination reason: Instruction limit
% 4.38/1.51 % (3703306)Termination phase: Saturation
% 4.38/1.51 % (3703306)Time elapsed: 0.070 s
% 4.38/1.51 % (3703306)Peak memory usage: 94 MB
% 4.38/1.51 % (3703306)Instructions burned: 109 (million)
% 4.38/1.51 % (3703307)Instruction limit reached!
% 4.38/1.51 % (3703307)------------------------------
% 4.38/1.51 % (3703307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.51 % (3703307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.51 % (3703307)CaDiCaL version: 2.1.3
% 4.38/1.51 % (3703307)Termination reason: Instruction limit
% 4.38/1.51 % (3703307)Termination phase: Saturation
% 4.38/1.51 % (3703307)Time elapsed: 0.080 s
% 4.38/1.51 % (3703307)Peak memory usage: 94 MB
% 4.38/1.51 % (3703307)Instructions burned: 120 (million)
% 4.38/1.51 % (3703308)Instruction limit reached!
% 4.38/1.51 % (3703308)------------------------------
% 4.38/1.51 % (3703308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.51 % (3703308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.38/1.51 % (3703308)CaDiCaL version: 2.1.3
% 4.38/1.51 % (3703308)Termination reason: Instruction limit
% 4.38/1.51 % (3703308)Termination phase: Naming
% 4.38/1.51 % (3703308)Time elapsed: 0.096 s
% 4.38/1.51 % (3703308)Peak memory usage: 94 MB
% 4.38/1.51 % (3703308)Instructions burned: 140 (million)
% 4.38/1.51 % (3703317)lrs+10_1_sil=8000:sp=occurrence:random_seed=1907080221:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 4.38/1.51 % (3703319)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3640889068:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.38/1.51 % (3703318)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1718818632:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 4.38/1.51 % (3703317)Instruction limit reached!
% 4.38/1.51 % (3703317)------------------------------
% 4.38/1.51 % (3703317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.38/1.51 % (3703317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.60 % (3703317)CaDiCaL version: 2.1.3
% 5.37/1.60 % (3703317)Termination reason: Instruction limit
% 5.37/1.60 % (3703317)Termination phase: Saturation
% 5.37/1.60 % (3703317)Time elapsed: 0.106 s
% 5.37/1.60 % (3703317)Peak memory usage: 98 MB
% 5.37/1.60 % (3703317)Instructions burned: 288 (million)
% 5.37/1.60 % (3703320)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=3189993211:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.37/1.60 % (3703319)First to succeed.
% 5.37/1.60 % (3703319)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3703298"
% 5.37/1.60 % (3703318)Instruction limit reached!
% 5.37/1.60 % (3703318)------------------------------
% 5.37/1.60 % (3703318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.60 % (3703318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.60 % (3703318)CaDiCaL version: 2.1.3
% 5.37/1.60 % (3703318)Termination reason: Instruction limit
% 5.37/1.60 % (3703318)Termination phase: Saturation
% 5.37/1.60 % (3703318)Time elapsed: 0.088 s
% 5.37/1.60 % (3703318)Peak memory usage: 95 MB
% 5.37/1.60 % (3703318)Instructions burned: 157 (million)
% 5.37/1.60 % (3703324)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2869975862:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.37/1.60 % (3703320)Instruction limit reached!
% 5.37/1.60 % (3703320)------------------------------
% 5.37/1.60 % (3703320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.60 % (3703320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.60 % (3703320)CaDiCaL version: 2.1.3
% 5.37/1.60 % (3703320)Termination reason: Instruction limit
% 5.37/1.60 % (3703320)Termination phase: Property scanning
% 5.37/1.60 % (3703320)Time elapsed: 0.158 s
% 5.37/1.60 % (3703320)Peak memory usage: 100 MB
% 5.37/1.60 % (3703320)Instructions burned: 248 (million)
% 5.37/1.60 % (3703324)Instruction limit reached!
% 5.37/1.60 % (3703324)------------------------------
% 5.37/1.60 % (3703324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.60 % (3703324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.60 % (3703324)CaDiCaL version: 2.1.3
% 5.37/1.60 % (3703324)Termination reason: Instruction limit
% 5.37/1.60 % (3703324)Termination phase: Saturation
% 5.37/1.60 % (3703324)Time elapsed: 0.096 s
% 5.37/1.60 % (3703324)Peak memory usage: 99 MB
% 5.37/1.60 % (3703324)Instructions burned: 294 (million)
% 5.37/1.60 % (3703326)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2940371243:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.37/1.60 % (3703319)Refutation found. Thanks to Tanya!
% 5.37/1.60 % SZS status Theorem for theBenchmark
% 5.37/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 5.37/1.61 % (3703319)------------------------------
% 5.37/1.61 % (3703319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/1.61 % (3703319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/1.61 % (3703319)CaDiCaL version: 2.1.3
% 5.37/1.61 % (3703319)Termination reason: Refutation
% 5.37/1.61 % (3703319)Time elapsed: 0.049 s
% 5.37/1.61 % (3703319)Peak memory usage: 95 MB
% 5.37/1.61 % (3703319)Instructions burned: 63 (million)
% 5.37/1.61 % (3703319)------------------------------
% 5.37/1.61 % (3703319)------------------------------
% 5.37/1.61 % (3703298)Success in time 0.835 s
% 5.37/1.61 % Vampire exiting
%------------------------------------------------------------------------------