%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG226+3 : 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 : n013.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 6.78s 2.38s
% Output : Refutation 6.78s
% 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(f5403,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(f5405,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(f16949,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(f16950,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(f16951,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(f16952,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)],[f16951]) ).
fof(f16954,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,[],[f16952]) ).
fof(f16955,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,[],[f16954]) ).
fof(f17050,plain,
! [X0,X1,X2] :
( ( r6_pboole(X0,X1,X2)
<=> X1 = X2 )
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(ennf_transformation,[],[f5405]) ).
fof(f17051,plain,
! [X0,X1,X2] :
( ( r6_pboole(X0,X1,X2)
<=> X1 = X2 )
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(flattening,[],[f17050]) ).
fof(f17054,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,[],[f5403]) ).
fof(f17055,plain,
! [X0,X1,X2] :
( r6_pboole(X0,X2,X1)
| ~ r6_pboole(X0,X1,X2)
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(flattening,[],[f17054]) ).
fof(f17056,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,[],[f16950]) ).
fof(f17057,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,[],[f17056]) ).
fof(f17058,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,[],[f16949]) ).
fof(f17059,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)],[f16955]) ).
fof(f17087,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,[],[f17051]) ).
fof(f17088,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,[],[f17058]) ).
fof(f17089,plain,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f17059]) ).
fof(f17090,plain,
m1_pboole(sK1,sK0),
inference(cnf_transformation,[],[f17059]) ).
fof(f17091,plain,
v2_relat_1(sK1),
inference(cnf_transformation,[],[f17059]) ).
fof(f17092,plain,
m1_pboole(sK2,sK0),
inference(cnf_transformation,[],[f17059]) ).
fof(f17093,plain,
v2_relat_1(sK2),
inference(cnf_transformation,[],[f17059]) ).
fof(f17094,plain,
k7_relat_1(sK1,k1_closure3(sK0,sK1)) = k7_relat_1(sK2,k1_closure3(sK0,sK2)),
inference(cnf_transformation,[],[f17059]) ).
fof(f17096,plain,
~ r6_pboole(sK0,sK1,sK2),
inference(cnf_transformation,[],[f17059]) ).
fof(f17206,plain,
! [X2,X0,X1] :
( r6_pboole(X0,X1,X2)
| X1 != X2
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(cnf_transformation,[],[f17087]) ).
fof(f17208,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,[],[f17055]) ).
fof(f17209,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,[],[f17057]) ).
fof(f17210,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,[],[f17088]) ).
fof(f17218,plain,
! [X2,X0] :
( r6_pboole(X0,X2,X2)
| ~ m1_pboole(X2,X0)
| ~ m1_pboole(X2,X0) ),
inference(equality_resolution,[],[f17206]) ).
fof(f17220,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| k1_closure3(X0,X1) = a_2_0_closure3(X0,X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f17210]) ).
fof(f17221,plain,
! [X2,X0] :
( r6_pboole(X0,X2,X2)
| ~ m1_pboole(X2,X0) ),
inference(duplicate_literal_removal,[],[f17218]) ).
fof(f17520,plain,
( k1_closure3(sK0,sK1) = a_2_0_closure3(sK0,sK1)
| v1_xboole_0(sK0) ),
inference(resolution,[],[f17220,f17090]) ).
fof(f17535,plain,
k1_closure3(sK0,sK1) = a_2_0_closure3(sK0,sK1),
inference(forward_subsumption_resolution,[],[f17520,f17089]) ).
fof(f17684,plain,
( ~ r6_pboole(sK0,sK2,sK1)
| ~ m1_pboole(sK2,sK0)
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f17208,f17096]) ).
fof(f17687,plain,
( ~ r6_pboole(sK0,sK2,sK1)
| ~ m1_pboole(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f17684,f17092]) ).
fof(f17688,plain,
~ r6_pboole(sK0,sK2,sK1),
inference(forward_subsumption_resolution,[],[f17687,f17090]) ).
fof(f17922,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,[],[f17209,f17090]) ).
fof(f17923,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,[],[f17209,f17092]) ).
fof(f17928,plain,
( sK2 = k1_funct_4(k1_pboole(sK0),k7_relat_1(sK2,k1_closure3(sK0,sK2)))
| v1_xboole_0(sK0) ),
inference(forward_subsumption_resolution,[],[f17923,f17093]) ).
fof(f17929,plain,
( sK1 = k1_funct_4(k1_pboole(sK0),k7_relat_1(sK1,k1_closure3(sK0,sK1)))
| v1_xboole_0(sK0) ),
inference(forward_subsumption_resolution,[],[f17922,f17091]) ).
fof(f17930,plain,
sK2 = k1_funct_4(k1_pboole(sK0),k7_relat_1(sK2,k1_closure3(sK0,sK2))),
inference(forward_subsumption_resolution,[],[f17928,f17089]) ).
fof(f17931,plain,
sK1 = k1_funct_4(k1_pboole(sK0),k7_relat_1(sK1,k1_closure3(sK0,sK1))),
inference(forward_subsumption_resolution,[],[f17929,f17089]) ).
fof(f17932,plain,
sK2 = k1_funct_4(k1_pboole(sK0),k7_relat_1(sK1,k1_closure3(sK0,sK1))),
inference(forward_demodulation,[],[f17930,f17094]) ).
fof(f17933,plain,
sK1 = k1_funct_4(k1_pboole(sK0),k7_relat_1(sK1,a_2_0_closure3(sK0,sK1))),
inference(forward_demodulation,[],[f17931,f17535]) ).
fof(f17934,plain,
sK2 = k1_funct_4(k1_pboole(sK0),k7_relat_1(sK1,a_2_0_closure3(sK0,sK1))),
inference(forward_demodulation,[],[f17932,f17535]) ).
fof(f17935,plain,
sK1 = sK2,
inference(forward_demodulation,[],[f17934,f17933]) ).
fof(f17963,plain,
~ r6_pboole(sK0,sK1,sK1),
inference(superposition,[],[f17688,f17935]) ).
fof(f18056,plain,
~ m1_pboole(sK1,sK0),
inference(resolution,[],[f17963,f17221]) ).
fof(f18059,plain,
$false,
inference(forward_subsumption_resolution,[],[f18056,f17090]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG226+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n013.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 19:50:40 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 6.36/2.17 % (1498867)Detected formulas, will run a generic FOF schedule.
% 6.36/2.17 % (1498873)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=3764574793:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 6.36/2.17 % (1498877)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=314558340:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 6.36/2.17 % (1498874)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=1433361716:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 6.36/2.17 % (1498872)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=2161952346:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 6.36/2.17 % (1498875)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2569206931:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 6.36/2.17 % (1498876)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2961952060:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 6.36/2.17 % (1498878)dis-21_1_sil=8000:lcm=predicate:random_seed=833773186:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 6.36/2.17 % (1498877)Instruction limit reached!
% 6.36/2.17 % (1498877)------------------------------
% 6.36/2.17 % (1498877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.17 % (1498877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.17 % (1498877)CaDiCaL version: 2.1.3
% 6.36/2.17 % (1498877)Termination reason: Instruction limit
% 6.36/2.17 % (1498877)Termination phase: Property scanning
% 6.36/2.17 % (1498877)Time elapsed: 0.059 s
% 6.36/2.17 % (1498877)Peak memory usage: 108 MB
% 6.36/2.17 % (1498877)Instructions burned: 139 (million)
% 6.36/2.17 % (1498875)Instruction limit reached!
% 6.36/2.17 % (1498875)------------------------------
% 6.36/2.17 % (1498875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.17 % (1498875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.17 % (1498875)CaDiCaL version: 2.1.3
% 6.36/2.17 % (1498875)Termination reason: Instruction limit
% 6.36/2.17 % (1498875)Termination phase: Saturation
% 6.36/2.17 % (1498875)Time elapsed: 0.092 s
% 6.36/2.17 % (1498875)Peak memory usage: 112 MB
% 6.36/2.17 % (1498875)Instructions burned: 109 (million)
% 6.36/2.17 % (1498876)Instruction limit reached!
% 6.36/2.17 % (1498876)------------------------------
% 6.36/2.17 % (1498876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.17 % (1498876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.17 % (1498876)CaDiCaL version: 2.1.3
% 6.36/2.17 % (1498876)Termination reason: Instruction limit
% 6.36/2.17 % (1498876)Termination phase: Preprocessing 3
% 6.36/2.17 % (1498876)Time elapsed: 0.099 s
% 6.36/2.17 % (1498876)Peak memory usage: 110 MB
% 6.36/2.17 % (1498876)Instructions burned: 120 (million)
% 6.36/2.17 % (1498878)Instruction limit reached!
% 6.36/2.17 % (1498878)------------------------------
% 6.36/2.17 % (1498878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.17 % (1498878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.17 % (1498878)CaDiCaL version: 2.1.3
% 6.36/2.17 % (1498878)Termination reason: Instruction limit
% 6.36/2.17 % (1498878)Termination phase: SInE selection
% 6.36/2.17 % (1498878)Time elapsed: 0.090 s
% 6.36/2.17 % (1498878)Peak memory usage: 108 MB
% 6.36/2.17 % (1498878)Instructions burned: 130 (million)
% 6.36/2.17 % (1498886)lrs+10_1_sil=8000:sp=occurrence:random_seed=2634078066:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 6.36/2.17 % (1498887)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1194732268:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 6.36/2.17 % (1498888)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2302009497:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 6.36/2.17 % (1498889)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=386777706:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 6.36/2.17 % (1498887)Instruction limit reached!
% 6.78/2.38 % (1498887)------------------------------
% 6.78/2.38 % (1498887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.38 % (1498887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.38 % (1498887)CaDiCaL version: 2.1.3
% 6.78/2.38 % (1498887)Termination reason: Instruction limit
% 6.78/2.38 % (1498887)Termination phase: Property scanning
% 6.78/2.38 % (1498887)Time elapsed: 0.067 s
% 6.78/2.38 % (1498887)Peak memory usage: 108 MB
% 6.78/2.38 % (1498887)Instructions burned: 159 (million)
% 6.78/2.38 % (1498889)Instruction limit reached!
% 6.78/2.38 % (1498889)------------------------------
% 6.78/2.38 % (1498889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.38 % (1498889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.38 % (1498889)CaDiCaL version: 2.1.3
% 6.78/2.38 % (1498889)Termination reason: Instruction limit
% 6.78/2.38 % (1498889)Termination phase: SInE selection
% 6.78/2.38 % (1498889)Time elapsed: 0.109 s
% 6.78/2.38 % (1498889)Peak memory usage: 108 MB
% 6.78/2.38 % (1498889)Instructions burned: 248 (million)
% 6.78/2.38 % (1498888)First to succeed.
% 6.78/2.38 % (1498888)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1498867"
% 6.78/2.38 % (1498886)Instruction limit reached!
% 6.78/2.38 % (1498886)------------------------------
% 6.78/2.38 % (1498886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.38 % (1498886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.38 % (1498886)CaDiCaL version: 2.1.3
% 6.78/2.38 % (1498886)Termination reason: Instruction limit
% 6.78/2.38 % (1498886)Termination phase: Saturation
% 6.78/2.38 % (1498886)Time elapsed: 0.227 s
% 6.78/2.38 % (1498886)Peak memory usage: 115 MB
% 6.78/2.38 % (1498886)Instructions burned: 285 (million)
% 6.78/2.38 % (1498894)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4067071105:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 6.78/2.38 % (1498895)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2143664472:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 6.78/2.38 % (1498896)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1855803487:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 6.78/2.38 % (1498888)Refutation found. Thanks to Tanya!
% 6.78/2.38 % SZS status Theorem for theBenchmark
% 6.78/2.38 % SZS output start Proof for theBenchmark
% See solution above
% 6.78/2.38 % (1498888)------------------------------
% 6.78/2.38 % (1498888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/2.38 % (1498888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/2.38 % (1498888)CaDiCaL version: 2.1.3
% 6.78/2.38 % (1498888)Termination reason: Refutation
% 6.78/2.38 % (1498888)Time elapsed: 0.112 s
% 6.78/2.38 % (1498888)Peak memory usage: 113 MB
% 6.78/2.38 % (1498888)Instructions burned: 137 (million)
% 6.78/2.38 % (1498888)------------------------------
% 6.78/2.38 % (1498888)------------------------------
% 6.78/2.38 % (1498867)Success in time 1.67 s
% 6.78/2.38 % Vampire exiting
%------------------------------------------------------------------------------