%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO528+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:52:52 AM UTC 2026
% Result : Theorem 5.20s 1.35s
% Output : Refutation 5.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 57 ( 22 unt; 3 def)
% Number of atoms : 139 ( 51 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 130 ( 48 ~; 67 |; 13 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-4 aty)
% Number of variables : 67 ( 0 sgn 63 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f146,axiom,
! [X0,X1] : s_m(X0,midpoint(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_22) ).
fof(f184,axiom,
! [X0,X1,X2] :
( ( X0 = X1
| s_col(X0,X1,midpoint(X2,reflect(X0,X1,X2))) )
& ( X0 = X1
| X2 = reflect(X0,X1,X2)
| perp(X0,X1,X2,reflect(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_2a) ).
fof(f188,axiom,
! [X0,X1,X2,X3] :
( X0 = X1
| reflect(X0,X1,X2) != X3
| X2 = reflect(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_6) ).
fof(f190,axiom,
! [X0,X1,X2] :
( X0 = X1
| reflect(X0,X1,X2) != X2
| s_col(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_8a) ).
fof(f191,axiom,
! [X0,X1,X2] :
( X0 = X1
| ~ s_col(X0,X1,X2)
| reflect(X0,X1,X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_8b) ).
fof(f198,conjecture,
! [X0,X1,X2,X3] :
( X0 = X1
| reflect(X0,X1,X2) != X3
| s_col(X0,X1,X2)
| opposite(X2,X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_14) ).
fof(f199,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( X0 = X1
| reflect(X0,X1,X2) != X3
| s_col(X0,X1,X2)
| opposite(X2,X0,X1,X3) ),
inference(negated_conjecture,[status(cth)],[f198]) ).
fof(f208,axiom,
! [X0,X1,X2] :
( ( ~ s_m(X0,X1,X2)
| s_t(X0,X1,X2) )
& ( ~ s_m(X0,X1,X2)
| s_e(X1,X0,X1,X2) )
& ( ~ s_t(X0,X1,X2)
| ~ s_e(X1,X0,X1,X2)
| s_m(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn7_1) ).
fof(f213,axiom,
! [X0,X1,X2,X3,X4] :
( ( X0 = X1
| s_col(X0,X1,X2)
| s_col(X0,X1,X3)
| ~ s_t(X2,X4,X3)
| ~ s_col(X0,X1,X4)
| opposite(X2,X0,X1,X3) )
& ( ~ opposite(X2,X0,X1,X3)
| ~ s_col(X0,X1,X2) )
& ( ~ opposite(X2,X0,X1,X3)
| ~ s_col(X0,X1,X3) )
& ( ~ opposite(X2,X0,X1,X3)
| s_t(X2,il(X2,X3,X0,X1),X3) )
& ( ~ opposite(X2,X0,X1,X3)
| s_col(X0,X1,il(X2,X3,X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn9_1) ).
fof(f215,plain,
? [X0,X1,X2,X3] :
( X0 != X1
& reflect(X0,X1,X2) = X3
& ~ s_col(X0,X1,X2)
& ~ opposite(X2,X0,X1,X3) ),
inference(ennf_transformation,[],[f199]) ).
fof(f216,plain,
( sK0 != sK1
& sK3 = reflect(sK0,sK1,sK2)
& ~ s_col(sK0,sK1,sK2)
& ~ opposite(sK2,sK0,sK1,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f215]) ).
fof(f390,plain,
! [X0,X1] : s_m(X0,midpoint(X0,X1),X1),
inference(cnf_transformation,[],[f146]) ).
fof(f430,plain,
! [X2,X0,X1] :
( s_col(X0,X1,midpoint(X2,reflect(X0,X1,X2)))
| X0 = X1 ),
inference(cnf_transformation,[],[f184]) ).
fof(f435,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| reflect(X0,X1,X2) != X3
| reflect(X0,X1,X3) = X2 ),
inference(cnf_transformation,[],[f188]) ).
fof(f437,plain,
! [X2,X0,X1] :
( reflect(X0,X1,X2) != X2
| X0 = X1
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f190]) ).
fof(f438,plain,
! [X2,X0,X1] :
( ~ s_col(X0,X1,X2)
| X0 = X1
| reflect(X0,X1,X2) = X2 ),
inference(cnf_transformation,[],[f191]) ).
fof(f445,plain,
~ opposite(sK2,sK0,sK1,sK3),
inference(cnf_transformation,[],[f216]) ).
fof(f446,plain,
~ s_col(sK0,sK1,sK2),
inference(cnf_transformation,[],[f216]) ).
fof(f447,plain,
sK3 = reflect(sK0,sK1,sK2),
inference(cnf_transformation,[],[f216]) ).
fof(f448,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f216]) ).
fof(f487,plain,
! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f208]) ).
fof(f511,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_col(X0,X1,X4)
| s_col(X0,X1,X2)
| s_col(X0,X1,X3)
| ~ s_t(X2,X4,X3)
| X0 = X1
| opposite(X2,X0,X1,X3) ),
inference(cnf_transformation,[],[f213]) ).
fof(f545,plain,
! [X2,X0,X1] :
( reflect(X0,X1,reflect(X0,X1,X2)) = X2
| X0 = X1 ),
inference(equality_resolution,[],[f435]) ).
fof(f552,definition,
sF4 = reflect(sK0,sK1,sK2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f553,plain,
reflect(sK0,sK1,sK2) = sF4,
inference(reorient_equations,[],[f552]) ).
fof(f554,plain,
sK3 = sF4,
inference(definition_folding,[],[f447,f553]) ).
fof(f583,plain,
sK3 = reflect(sK0,sK1,sK2),
inference(forward_demodulation,[],[f553,f554]) ).
fof(f584,plain,
( sK2 = reflect(sK0,sK1,sK3)
| sK0 = sK1 ),
inference(superposition,[],[f545,f583]) ).
fof(f585,plain,
sK2 = reflect(sK0,sK1,sK3),
inference(forward_subsumption_resolution,[],[f584,f448]) ).
fof(f588,plain,
( sK2 != sK3
| sK0 = sK1
| s_col(sK0,sK1,sK2) ),
inference(superposition,[],[f437,f583]) ).
fof(f592,plain,
( sK2 != sK3
| s_col(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f588,f448]) ).
fof(f594,definition,
( spl5_7
<=> s_col(sK0,sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).
fof(f596,plain,
( s_col(sK0,sK1,sK3)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f598,definition,
( spl5_8
<=> sK2 = sK3 ),
introduced(definition,[new_symbols(definition,[spl5_8])],[avatar_definition]) ).
fof(f600,plain,
( sK2 != sK3
| spl5_8 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f602,plain,
sK2 != sK3,
inference(forward_subsumption_resolution,[],[f592,f446]) ).
fof(f603,plain,
~ spl5_8,
inference(avatar_split_clause,[],[f602,f598]) ).
fof(f736,plain,
( s_col(sK0,sK1,midpoint(sK2,sK3))
| sK0 = sK1 ),
inference(superposition,[],[f430,f583]) ).
fof(f747,plain,
s_col(sK0,sK1,midpoint(sK2,sK3)),
inference(forward_subsumption_resolution,[],[f736,f448]) ).
fof(f757,plain,
! [X0,X1] :
( s_col(sK0,sK1,X0)
| s_col(sK0,sK1,X1)
| ~ s_t(X0,midpoint(sK2,sK3),X1)
| sK0 = sK1
| opposite(X0,sK0,sK1,X1) ),
inference(resolution,[],[f747,f511]) ).
fof(f758,plain,
! [X0,X1] :
( ~ s_t(X0,midpoint(sK2,sK3),X1)
| s_col(sK0,sK1,X1)
| s_col(sK0,sK1,X0)
| opposite(X0,sK0,sK1,X1) ),
inference(forward_subsumption_resolution,[],[f757,f448]) ).
fof(f1400,plain,
! [X0,X1] : s_t(X0,midpoint(X0,X1),X1),
inference(resolution,[],[f390,f487]) ).
fof(f1661,plain,
( s_col(sK0,sK1,sK3)
| s_col(sK0,sK1,sK2)
| opposite(sK2,sK0,sK1,sK3) ),
inference(resolution,[],[f1400,f758]) ).
fof(f1671,plain,
( s_col(sK0,sK1,sK3)
| opposite(sK2,sK0,sK1,sK3) ),
inference(forward_subsumption_resolution,[],[f1661,f446]) ).
fof(f1677,plain,
s_col(sK0,sK1,sK3),
inference(forward_subsumption_resolution,[],[f1671,f445]) ).
fof(f1678,plain,
spl5_7,
inference(avatar_split_clause,[],[f1677,f594]) ).
fof(f1688,plain,
( sK0 = sK1
| sK3 = reflect(sK0,sK1,sK3)
| ~ spl5_7 ),
inference(resolution,[],[f596,f438]) ).
fof(f1705,plain,
( sK3 = reflect(sK0,sK1,sK3)
| ~ spl5_7 ),
inference(forward_subsumption_resolution,[],[f1688,f448]) ).
fof(f1710,plain,
( sK2 = sK3
| ~ spl5_7 ),
inference(forward_demodulation,[],[f1705,f585]) ).
fof(f1711,plain,
( $false
| ~ spl5_7
| spl5_8 ),
inference(forward_subsumption_resolution,[],[f1710,f600]) ).
fof(f1712,plain,
( ~ spl5_7
| spl5_8 ),
inference(avatar_contradiction_clause,[],[f1711]) ).
cnf(s3,plain,
~ spl5_8,
inference(sat_conversion,[],[f603]) ).
cnf(s19,plain,
spl5_7,
inference(sat_conversion,[],[f1678]) ).
cnf(s21,plain,
( ~ spl5_7
| spl5_8 ),
inference(sat_conversion,[],[f1712]) ).
cnf(s22,plain,
spl5_8,
inference(rat,[],[s21,s19]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s3,s22]) ).
fof(f1713,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO528+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 08:26:07 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.33 Running first-order theorem proving
% 0.06/0.33 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
% 4.41/1.25 % (2062656)Detected formulas, will run a generic FOF schedule.
% 4.41/1.25 % (2062666)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2012253935:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.41/1.25 % (2062664)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=205358620:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.41/1.25 % (2062665)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=78124781:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.41/1.25 % (2062663)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=2171123451:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.41/1.25 % (2062667)dis-21_1_sil=8000:lcm=predicate:random_seed=940492968: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)
% 4.41/1.25 % (2062662)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=343025453:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.41/1.25 % (2062661)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=269432347:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.41/1.25 % (2062664)Refutation not found, incomplete strategy
% 4.41/1.25 % (2062664)------------------------------
% 4.41/1.25 % (2062664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.25 % (2062664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.25 % (2062664)CaDiCaL version: 2.1.3
% 4.41/1.25 % (2062664)Termination reason: Refutation not found, incomplete strategy
% 4.41/1.25 % (2062664)Time elapsed: 0.002 s
% 4.41/1.25 % (2062664)Peak memory usage: 88 MB
% 4.41/1.25 % (2062664)Instructions burned: 3 (million)
% 4.41/1.25 % (2062665)Instruction limit reached!
% 4.41/1.25 % (2062665)------------------------------
% 4.41/1.25 % (2062665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.25 % (2062665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.25 % (2062665)CaDiCaL version: 2.1.3
% 4.41/1.25 % (2062665)Termination reason: Instruction limit
% 4.41/1.25 % (2062665)Termination phase: Saturation
% 4.41/1.25 % (2062665)Time elapsed: 0.038 s
% 4.41/1.25 % (2062665)Peak memory usage: 88 MB
% 4.41/1.25 % (2062665)Instructions burned: 120 (million)
% 4.41/1.25 % (2062667)Instruction limit reached!
% 4.41/1.25 % (2062667)------------------------------
% 4.41/1.25 % (2062667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.25 % (2062667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.25 % (2062667)CaDiCaL version: 2.1.3
% 4.41/1.25 % (2062667)Termination reason: Instruction limit
% 4.41/1.25 % (2062667)Termination phase: Saturation
% 4.41/1.25 % (2062667)Time elapsed: 0.039 s
% 4.41/1.25 % (2062667)Peak memory usage: 89 MB
% 4.41/1.25 % (2062667)Instructions burned: 131 (million)
% 4.41/1.25 % (2062666)Instruction limit reached!
% 4.41/1.25 % (2062666)------------------------------
% 4.41/1.25 % (2062666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.25 % (2062666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.25 % (2062666)CaDiCaL version: 2.1.3
% 4.41/1.25 % (2062666)Termination reason: Instruction limit
% 4.41/1.25 % (2062666)Termination phase: Saturation
% 4.41/1.25 % (2062666)Time elapsed: 0.047 s
% 4.41/1.25 % (2062666)Peak memory usage: 89 MB
% 4.41/1.25 % (2062666)Instructions burned: 141 (million)
% 4.41/1.25 % (2062676)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1110404872:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.41/1.25 % (2062675)lrs+10_1_sil=8000:sp=occurrence:random_seed=273757154:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.41/1.25 % (2062677)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1098948814:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.41/1.25 % (2062664)------------------------------
% 4.41/1.25 % (2062664)------------------------------
% 4.41/1.25 % (2062676)Instruction limit reached!
% 4.41/1.25 % (2062676)------------------------------
% 4.41/1.25 % (2062676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.25 % (2062676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.25 % (2062676)CaDiCaL version: 2.1.3
% 4.41/1.25 % (2062676)Termination reason: Instruction limit
% 4.41/1.25 % (2062676)Termination phase: Saturation
% 4.41/1.25 % (2062676)Time elapsed: 0.040 s
% 4.41/1.25 % (2062676)Peak memory usage: 89 MB
% 4.41/1.25 % (2062676)Instructions burned: 160 (million)
% 4.41/1.25 % (2062675)Instruction limit reached!
% 4.41/1.25 % (2062675)------------------------------
% 4.41/1.25 % (2062675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.25 % (2062675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.25 % (2062675)CaDiCaL version: 2.1.3
% 4.41/1.25 % (2062675)Termination reason: Instruction limit
% 4.41/1.25 % (2062675)Termination phase: Saturation
% 4.41/1.25 % (2062675)Time elapsed: 0.097 s
% 4.41/1.25 % (2062675)Peak memory usage: 91 MB
% 4.41/1.25 % (2062675)Instructions burned: 285 (million)
% 4.41/1.25 % (2062681)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=1422874958:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.41/1.25 % (2062677)Instruction limit reached!
% 4.41/1.25 % (2062677)------------------------------
% 4.41/1.25 % (2062677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.25 % (2062677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.25 % (2062677)CaDiCaL version: 2.1.3
% 4.41/1.25 % (2062677)Termination reason: Instruction limit
% 4.41/1.25 % (2062677)Termination phase: Saturation
% 4.41/1.25 % (2062677)Time elapsed: 0.101 s
% 4.41/1.25 % (2062677)Peak memory usage: 90 MB
% 4.41/1.25 % (2062677)Instructions burned: 326 (million)
% 4.41/1.25 % (2062682)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4204289832:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2997 on theBenchmark for (2997ds/294Mi)
% 4.41/1.25 % (2062681)Instruction limit reached!
% 4.41/1.25 % (2062681)------------------------------
% 4.41/1.25 % (2062681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.25 % (2062681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.25 % (2062681)CaDiCaL version: 2.1.3
% 4.41/1.25 % (2062681)Termination reason: Instruction limit
% 4.41/1.25 % (2062681)Termination phase: Saturation
% 4.41/1.25 % (2062681)Time elapsed: 0.067 s
% 4.41/1.25 % (2062681)Peak memory usage: 89 MB
% 4.41/1.25 % (2062681)Instructions burned: 248 (million)
% 4.41/1.25 % (2062683)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2657910977:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.41/1.25 % (2062685)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2360204594:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 4.41/1.25 % (2062682)Instruction limit reached!
% 4.41/1.25 % (2062682)------------------------------
% 4.41/1.25 % (2062682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.25 % (2062682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.25 % (2062682)CaDiCaL version: 2.1.3
% 4.41/1.25 % (2062682)Termination reason: Instruction limit
% 4.41/1.25 % (2062682)Termination phase: Saturation
% 4.41/1.25 % (2062682)Time elapsed: 0.087 s
% 4.41/1.25 % (2062682)Peak memory usage: 89 MB
% 4.41/1.25 % (2062682)Instructions burned: 297 (million)
% 4.41/1.25 % (2062685)Instruction limit reached!
% 4.41/1.25 % (2062685)------------------------------
% 4.41/1.25 % (2062685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.25 % (2062685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.25 % (2062685)CaDiCaL version: 2.1.3
% 4.41/1.25 % (2062685)Termination reason: Instruction limit
% 4.41/1.25 % (2062685)Termination phase: Saturation
% 4.41/1.25 % (2062685)Time elapsed: 0.037 s
% 4.41/1.25 % (2062685)Peak memory usage: 90 MB
% 4.41/1.25 % (2062685)Instructions burned: 115 (million)
% 4.41/1.25 % (2062687)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=976905559:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 4.41/1.25 % (2062687)Instruction limit reached!
% 4.41/1.25 % (2062687)------------------------------
% 4.41/1.25 % (2062687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.25 % (2062687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.25 % (2062687)CaDiCaL version: 2.1.3
% 5.20/1.35 % (2062687)Termination reason: Instruction limit
% 5.20/1.35 % (2062687)Termination phase: Saturation
% 5.20/1.35 % (2062687)Time elapsed: 0.035 s
% 5.20/1.35 % (2062687)Peak memory usage: 89 MB
% 5.20/1.35 % (2062687)Instructions burned: 129 (million)
% 5.20/1.35 % (2062661)First to succeed.
% 5.20/1.35 % (2062661)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2062656"
% 5.20/1.35 % (2062690)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1160311710:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2995 on theBenchmark for (2995ds/114Mi)
% 5.20/1.35 % (2062691)lrs+10_1_sil=8000:sp=occurrence:random_seed=1565479286:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2995 on theBenchmark for (2995ds/907Mi)
% 5.20/1.35 % (2062690)Instruction limit reached!
% 5.20/1.35 % (2062690)------------------------------
% 5.20/1.35 % (2062690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.35 % (2062690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.35 % (2062690)CaDiCaL version: 2.1.3
% 5.20/1.35 % (2062690)Termination reason: Instruction limit
% 5.20/1.35 % (2062690)Termination phase: Saturation
% 5.20/1.35 % (2062690)Time elapsed: 0.030 s
% 5.20/1.35 % (2062690)Peak memory usage: 89 MB
% 5.20/1.35 % (2062690)Instructions burned: 116 (million)
% 5.20/1.35 % (2062662)Also succeeded, but the first one will report.
% 5.20/1.35 % (2062693)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1567793799:i=437:sd=1:aac=none:ss=included_2994 on theBenchmark for (2994ds/437Mi)
% 5.20/1.35 % (2062693)Also succeeded, but the first one will report.
% 5.20/1.35 % (2062663)Also succeeded, but the first one will report.
% 5.20/1.35 % (2062696)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2033179071:i=5202:ss=axioms:sgt=16_2994 on theBenchmark for (2994ds/5202Mi)
% 5.20/1.35 % (2062661)Refutation found. Thanks to Tanya!
% 5.20/1.35 % SZS status Theorem for theBenchmark
% 5.20/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 5.20/1.35 % (2062661)------------------------------
% 5.20/1.35 % (2062661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.35 % (2062661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.35 % (2062661)CaDiCaL version: 2.1.3
% 5.20/1.35 % (2062661)Termination reason: Refutation
% 5.20/1.35 % (2062661)Time elapsed: 0.441 s
% 5.20/1.35 % (2062661)Peak memory usage: 132 MB
% 5.20/1.35 % (2062661)Instructions burned: 1192 (million)
% 5.20/1.35 % (2062661)------------------------------
% 5.20/1.35 % (2062661)------------------------------
% 5.20/1.35 % (2062656)Success in time 0.722 s
% 5.20/1.35 % Vampire exiting
%------------------------------------------------------------------------------