%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL009-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:33:41 PM UTC 2026
% Result : Unsatisfiable 10.93s 2.58s
% Output : Refutation 10.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 58 ( 47 unt; 9 def)
% Number of atoms : 69 ( 51 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f23,negated_conjecture,
join(sk1,sk2) = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
sk2 = join(sk1,sk2),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( join(composition(sk1,sk3),composition(sk2,sk3)) != composition(sk2,sk3)
| join(composition(sk3,sk1),composition(sk3,sk2)) != composition(sk3,sk2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_18) ).
fof(f26,plain,
( composition(sk2,sk3) != join(composition(sk1,sk3),composition(sk2,sk3))
| composition(sk3,sk2) != join(composition(sk3,sk1),composition(sk3,sk2)) ),
inference(reorient_equations,[],[f25]) ).
fof(f31,definition,
sF0 = join(sk1,sk2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f32,plain,
join(sk1,sk2) = sF0,
inference(reorient_equations,[],[f31]) ).
fof(f33,plain,
sk2 = sF0,
inference(definition_folding,[],[f24,f32]) ).
fof(f34,definition,
sF1 = composition(sk2,sk3),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f35,plain,
composition(sk2,sk3) = sF1,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF2 = composition(sk1,sk3),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f37,plain,
composition(sk1,sk3) = sF2,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF3 = join(sF2,sF1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f39,plain,
join(sF2,sF1) = sF3,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF4 = composition(sk3,sk2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f41,plain,
composition(sk3,sk2) = sF4,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF5 = composition(sk3,sk1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f43,plain,
composition(sk3,sk1) = sF5,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF6 = join(sF5,sF4),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f45,plain,
join(sF5,sF4) = sF6,
inference(reorient_equations,[],[f44]) ).
fof(f46,plain,
( sF1 != sF3
| sF4 != sF6 ),
inference(definition_folding,[],[f26,f45,f41,f43,f41,f39,f35,f37,f35]) ).
fof(f48,definition,
( spl7_1
<=> sF4 = sF6 ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f50,plain,
( sF4 != sF6
| spl7_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f52,definition,
( spl7_2
<=> sF1 = sF3 ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f54,plain,
( sF1 != sF3
| spl7_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f46,f52,f48]) ).
fof(f56,plain,
sk2 = join(sk1,sk2),
inference(forward_demodulation,[],[f32,f33]) ).
fof(f68,plain,
sk2 = join(sk2,sk1),
inference(superposition,[],[f56,f1]) ).
fof(f73,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f9,f12]) ).
fof(f75,plain,
! [X0] : composition(join(sk2,X0),sk3) = join(sF1,composition(X0,sk3)),
inference(superposition,[],[f9,f35]) ).
fof(f97,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f73,f12]) ).
fof(f106,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f97,f11]) ).
fof(f109,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f106,f11]) ).
fof(f111,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f109,f12]) ).
fof(f155,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f111]) ).
fof(f156,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f155,f10]) ).
fof(f179,plain,
! [X0] : composition(sk3,join(sk1,X0)) = join(sF5,composition(sk3,X0)),
inference(superposition,[],[f156,f43]) ).
fof(f233,plain,
composition(sk3,sk2) = join(sF5,composition(sk3,sk2)),
inference(superposition,[],[f179,f56]) ).
fof(f248,plain,
sF4 = join(sF5,sF4),
inference(forward_demodulation,[],[f233,f41]) ).
fof(f251,plain,
sF4 = sF6,
inference(forward_demodulation,[],[f248,f45]) ).
fof(f254,plain,
( $false
| spl7_1 ),
inference(forward_subsumption_resolution,[],[f251,f50]) ).
fof(f255,plain,
spl7_1,
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f675,plain,
composition(sk2,sk3) = join(sF1,composition(sk1,sk3)),
inference(superposition,[],[f75,f68]) ).
fof(f682,plain,
composition(sk2,sk3) = join(sF1,sF2),
inference(forward_demodulation,[],[f675,f37]) ).
fof(f684,plain,
sF1 = join(sF1,sF2),
inference(forward_demodulation,[],[f682,f35]) ).
fof(f697,plain,
sF1 = join(sF2,sF1),
inference(superposition,[],[f684,f1]) ).
fof(f708,plain,
sF1 = sF3,
inference(forward_demodulation,[],[f697,f39]) ).
fof(f715,plain,
( $false
| spl7_2 ),
inference(forward_subsumption_resolution,[],[f708,f54]) ).
fof(f716,plain,
spl7_2,
inference(avatar_contradiction_clause,[],[f715]) ).
cnf(s1,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(sat_conversion,[],[f55]) ).
cnf(s2,plain,
spl7_1,
inference(sat_conversion,[],[f255]) ).
cnf(s6,plain,
spl7_2,
inference(sat_conversion,[],[f716]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s2]) ).
fof(f717,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL009-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:50:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 10.28/2.35 % (2847752)Input is clausal, will run a generic CNF schedule.
% 10.28/2.35 % (2847844)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1216241643:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.28/2.35 % (2847841)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=125937670:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.28/2.35 % (2847843)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4261846125:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.28/2.35 % (2847839)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=2973439566:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.28/2.35 % (2847842)lrs+10_1_sil=8000:sp=occurrence:random_seed=39091985:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.28/2.35 % (2847845)dis-21_1_sil=8000:lcm=predicate:random_seed=1531494838:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.28/2.35 % (2847845)Refutation not found, incomplete strategy
% 10.28/2.35 % (2847845)------------------------------
% 10.28/2.35 % (2847845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.28/2.35 % (2847845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.35 % (2847845)CaDiCaL version: 2.1.3
% 10.28/2.35 % (2847845)Termination reason: Refutation not found, incomplete strategy
% 10.28/2.35 % (2847845)Time elapsed: 0.002 s
% 10.28/2.35 % (2847845)Peak memory usage: 88 MB
% 10.28/2.35 % (2847845)Instructions burned: 1 (million)
% 10.28/2.35 % (2847844)Instruction limit reached!
% 10.28/2.35 % (2847844)------------------------------
% 10.28/2.35 % (2847844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.28/2.35 % (2847844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.35 % (2847844)CaDiCaL version: 2.1.3
% 10.28/2.35 % (2847844)Termination reason: Instruction limit
% 10.28/2.35 % (2847844)Termination phase: Saturation
% 10.28/2.35 % (2847844)Time elapsed: 0.057 s
% 10.28/2.35 % (2847844)Peak memory usage: 90 MB
% 10.28/2.35 % (2847844)Instructions burned: 181 (million)
% 10.28/2.35 % (2847840)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=478446541:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.28/2.35 % (2847842)Instruction limit reached!
% 10.28/2.35 % (2847842)------------------------------
% 10.28/2.35 % (2847842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.28/2.35 % (2847842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.35 % (2847842)CaDiCaL version: 2.1.3
% 10.28/2.35 % (2847842)Termination reason: Instruction limit
% 10.28/2.35 % (2847842)Termination phase: Saturation
% 10.28/2.35 % (2847842)Time elapsed: 0.058 s
% 10.28/2.35 % (2847842)Peak memory usage: 88 MB
% 10.28/2.35 % (2847842)Instructions burned: 108 (million)
% 10.28/2.35 % (2847843)Instruction limit reached!
% 10.28/2.35 % (2847843)------------------------------
% 10.28/2.35 % (2847843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.28/2.35 % (2847843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.35 % (2847843)CaDiCaL version: 2.1.3
% 10.28/2.35 % (2847843)Termination reason: Instruction limit
% 10.28/2.35 % (2847843)Termination phase: Saturation
% 10.28/2.35 % (2847843)Time elapsed: 0.071 s
% 10.28/2.35 % (2847843)Peak memory usage: 89 MB
% 10.28/2.35 % (2847843)Instructions burned: 115 (million)
% 10.28/2.35 % (2847872)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2140461486:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.28/2.35 % (2847872)Instruction limit reached!
% 10.28/2.35 % (2847872)------------------------------
% 10.28/2.35 % (2847872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.28/2.35 % (2847872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.35 % (2847872)CaDiCaL version: 2.1.3
% 10.28/2.35 % (2847872)Termination reason: Instruction limit
% 10.28/2.35 % (2847872)Termination phase: Saturation
% 10.28/2.35 % (2847872)Time elapsed: 0.040 s
% 10.28/2.35 % (2847872)Peak memory usage: 89 MB
% 10.28/2.35 % (2847872)Instructions burned: 143 (million)
% 10.28/2.35 % (2847873)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1019286158:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 10.28/2.35 % (2847874)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3344694039:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.28/2.35 % (2847845)------------------------------
% 10.28/2.35 % (2847845)------------------------------
% 10.28/2.35 % (2847876)lrs+10_64_to=lpo:sil=8000:random_seed=501128658:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 10.28/2.35 % (2847873)Instruction limit reached!
% 10.28/2.35 % (2847873)------------------------------
% 10.28/2.35 % (2847873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.28/2.35 % (2847873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.35 % (2847873)CaDiCaL version: 2.1.3
% 10.28/2.35 % (2847873)Termination reason: Instruction limit
% 10.28/2.35 % (2847873)Termination phase: Saturation
% 10.28/2.35 % (2847873)Time elapsed: 0.178 s
% 10.28/2.35 % (2847873)Peak memory usage: 90 MB
% 10.28/2.35 % (2847873)Instructions burned: 189 (million)
% 10.28/2.35 % (2847876)Instruction limit reached!
% 10.28/2.35 % (2847876)------------------------------
% 10.28/2.35 % (2847876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.28/2.35 % (2847876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.35 % (2847876)CaDiCaL version: 2.1.3
% 10.28/2.35 % (2847876)Termination reason: Instruction limit
% 10.28/2.35 % (2847876)Termination phase: Saturation
% 10.28/2.35 % (2847876)Time elapsed: 0.070 s
% 10.28/2.35 % (2847876)Peak memory usage: 89 MB
% 10.28/2.35 % (2847876)Instructions burned: 128 (million)
% 10.28/2.35 % (2847874)Instruction limit reached!
% 10.28/2.35 % (2847874)------------------------------
% 10.28/2.35 % (2847874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.28/2.35 % (2847874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.35 % (2847874)CaDiCaL version: 2.1.3
% 10.28/2.35 % (2847874)Termination reason: Instruction limit
% 10.28/2.35 % (2847874)Termination phase: Saturation
% 10.28/2.35 % (2847874)Time elapsed: 0.203 s
% 10.28/2.35 % (2847874)Peak memory usage: 89 MB
% 10.28/2.35 % (2847874)Instructions burned: 219 (million)
% 10.28/2.35 % (2847906)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3511550252:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 10.28/2.35 % (2847916)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1799566148:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 10.28/2.35 % (2847913)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2883756868:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 10.28/2.35 % (2847906)Instruction limit reached!
% 10.28/2.35 % (2847906)------------------------------
% 10.28/2.35 % (2847906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.28/2.35 % (2847906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.35 % (2847906)CaDiCaL version: 2.1.3
% 10.28/2.35 % (2847906)Termination reason: Instruction limit
% 10.28/2.35 % (2847906)Termination phase: Saturation
% 10.28/2.35 % (2847906)Time elapsed: 0.203 s
% 10.28/2.35 % (2847906)Peak memory usage: 90 MB
% 10.28/2.35 % (2847906)Instructions burned: 194 (million)
% 10.28/2.35 % (2847918)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2418422706:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 10.28/2.35 % (2847918)Instruction limit reached!
% 10.28/2.35 % (2847918)------------------------------
% 10.28/2.35 % (2847918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.28/2.35 % (2847918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.35 % (2847918)CaDiCaL version: 2.1.3
% 10.28/2.35 % (2847918)Termination reason: Instruction limit
% 10.28/2.35 % (2847918)Termination phase: Saturation
% 10.28/2.35 % (2847918)Time elapsed: 0.105 s
% 10.28/2.35 % (2847918)Peak memory usage: 89 MB
% 10.28/2.35 % (2847918)Instructions burned: 106 (million)
% 10.28/2.35 % (2847913)Instruction limit reached!
% 10.28/2.35 % (2847913)------------------------------
% 10.28/2.35 % (2847913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.28/2.35 % (2847913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.58 % (2847913)CaDiCaL version: 2.1.3
% 10.93/2.58 % (2847913)Termination reason: Instruction limit
% 10.93/2.58 % (2847913)Termination phase: Saturation
% 10.93/2.58 % (2847913)Time elapsed: 0.164 s
% 10.93/2.58 % (2847913)Peak memory usage: 91 MB
% 10.93/2.58 % (2847913)Instructions burned: 158 (million)
% 10.93/2.58 % (2847839)First to succeed.
% 10.93/2.58 % (2847839)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2847752"
% 10.93/2.58 % (2847840)Also succeeded, but the first one will report.
% 10.93/2.58 % (2847926)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2030464595:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 10.93/2.58 % (2847929)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1781429869:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 10.93/2.58 % (2847926)Instruction limit reached!
% 10.93/2.58 % (2847926)------------------------------
% 10.93/2.58 % (2847926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.58 % (2847926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.58 % (2847926)CaDiCaL version: 2.1.3
% 10.93/2.58 % (2847926)Termination reason: Instruction limit
% 10.93/2.58 % (2847926)Termination phase: Saturation
% 10.93/2.58 % (2847926)Time elapsed: 0.119 s
% 10.93/2.58 % (2847926)Peak memory usage: 88 MB
% 10.93/2.58 % (2847926)Instructions burned: 108 (million)
% 10.93/2.58 % (2847928)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1325306198:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 10.93/2.58 % (2847841)Also succeeded, but the first one will report.
% 10.93/2.58 % (2847916)Also succeeded, but the first one will report.
% 10.93/2.58 % (2847928)Instruction limit reached!
% 10.93/2.58 % (2847928)------------------------------
% 10.93/2.58 % (2847928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.58 % (2847928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.58 % (2847928)CaDiCaL version: 2.1.3
% 10.93/2.58 % (2847928)Termination reason: Instruction limit
% 10.93/2.58 % (2847928)Termination phase: Saturation
% 10.93/2.58 % (2847928)Time elapsed: 0.139 s
% 10.93/2.58 % (2847928)Peak memory usage: 89 MB
% 10.93/2.58 % (2847928)Instructions burned: 242 (million)
% 10.93/2.58 % (2847839)Refutation found. Thanks to Tanya!
% 10.93/2.58 % SZS status Unsatisfiable for theBenchmark
% 10.93/2.58 % SZS output start Proof for theBenchmark
% See solution above
% 10.93/2.58 % (2847839)------------------------------
% 10.93/2.58 % (2847839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.58 % (2847839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.58 % (2847839)CaDiCaL version: 2.1.3
% 10.93/2.58 % (2847839)Termination reason: Refutation
% 10.93/2.58 % (2847839)Time elapsed: 0.877 s
% 10.93/2.58 % (2847839)Peak memory usage: 130 MB
% 10.93/2.58 % (2847839)Instructions burned: 1057 (million)
% 10.93/2.58 % (2847839)------------------------------
% 10.93/2.58 % (2847839)------------------------------
% 10.93/2.58 % (2847752)Success in time 1.487 s
% 10.93/2.58 % Vampire exiting
%------------------------------------------------------------------------------