%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL014-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 11:50:55 AM UTC 2026
% Result : Unsatisfiable 8.64s 1.99s
% Output : Refutation 8.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 32 unt; 5 def)
% Number of atoms : 75 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 26 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,equivalent(X0,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wn) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(equivalent(b,equivalent(a,c)),equivalent(c,b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_xgf) ).
fof(f4,definition,
sF0 = equivalent(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
equivalent(a,c) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = equivalent(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
equivalent(b,sF0) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = equivalent(c,b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
equivalent(c,b) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF3 = equivalent(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f11,plain,
equivalent(sF1,sF2) = sF3,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF4 = equivalent(a,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f13,plain,
equivalent(a,sF3) = sF4,
inference(reorient_equations,[],[f12]) ).
fof(f14,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f3,f13,f11,f9,f7,f5]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(X2,equivalent(X0,X1))) ),
inference(resolution,[],[f1,f2]) ).
fof(f16,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,equivalent(X1,X2)),X2))),
inference(resolution,[],[f15,f2]) ).
fof(f69,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,equivalent(X2,X0))))),
inference(resolution,[],[f16,f15]) ).
fof(f70,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f16,f1]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X2) ),
inference(resolution,[],[f70,f1]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,equivalent(X1,X2))))
| is_a_theorem(X2) ),
inference(resolution,[],[f93,f16]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f93,f2]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(X1,equivalent(X2,X0))) ),
inference(resolution,[],[f93,f69]) ).
fof(f159,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X1))),
inference(resolution,[],[f109,f69]) ).
fof(f170,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(resolution,[],[f159,f114]) ).
fof(f180,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X0))
| is_a_theorem(X1) ),
inference(resolution,[],[f170,f93]) ).
fof(f214,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,X0))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f180,f70]) ).
fof(f223,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X0))))
| ~ is_a_theorem(equivalent(X1,X2)) ),
inference(resolution,[],[f214,f70]) ).
fof(f226,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X1,equivalent(X2,X0)))),
inference(resolution,[],[f214,f2]) ).
fof(f231,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X1)),
inference(resolution,[],[f214,f159]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X1))
| is_a_theorem(equivalent(X2,X0)) ),
inference(resolution,[],[f226,f93]) ).
fof(f244,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,X0)),X2))),
inference(resolution,[],[f226,f15]) ).
fof(f262,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X0)),X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f244,f1]) ).
fof(f269,plain,
! [X0] : is_a_theorem(equivalent(equivalent(c,X0),equivalent(equivalent(X0,sF0),a))),
inference(superposition,[],[f244,f5]) ).
fof(f280,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X0)),
inference(resolution,[],[f231,f110]) ).
fof(f293,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X1))),
inference(resolution,[],[f280,f214]) ).
fof(f303,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
inference(resolution,[],[f293,f114]) ).
fof(f324,plain,
is_a_theorem(equivalent(equivalent(sF3,a),sF4)),
inference(superposition,[],[f303,f13]) ).
fof(f448,plain,
is_a_theorem(equivalent(equivalent(c,b),equivalent(sF1,a))),
inference(superposition,[],[f269,f7]) ).
fof(f449,plain,
is_a_theorem(equivalent(sF2,equivalent(sF1,a))),
inference(forward_demodulation,[],[f448,f9]) ).
fof(f453,plain,
is_a_theorem(equivalent(a,equivalent(sF2,sF1))),
inference(resolution,[],[f449,f15]) ).
fof(f476,plain,
( ~ is_a_theorem(equivalent(sF3,a))
| is_a_theorem(sF4) ),
inference(resolution,[],[f324,f1]) ).
fof(f477,plain,
~ is_a_theorem(equivalent(sF3,a)),
inference(forward_subsumption_resolution,[],[f476,f14]) ).
fof(f613,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X2,X0)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f223,f15]) ).
fof(f679,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f613,f214]) ).
fof(f713,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X0))
| is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f679,f243]) ).
fof(f910,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X2),X0))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[],[f713,f70]) ).
fof(f927,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2)))
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f910,f262]) ).
fof(f975,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X2,X0)) ),
inference(resolution,[],[f927,f1]) ).
fof(f1044,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X2,X1),X0)) ),
inference(resolution,[],[f975,f303]) ).
fof(f1170,plain,
is_a_theorem(equivalent(equivalent(sF1,sF2),a)),
inference(resolution,[],[f1044,f453]) ).
fof(f1203,plain,
is_a_theorem(equivalent(sF3,a)),
inference(forward_demodulation,[],[f1170,f11]) ).
fof(f1204,plain,
$false,
inference(forward_subsumption_resolution,[],[f1203,f477]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 15:19:24 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 6.83/1.79 % (2495500)Input is clausal, will run a generic CNF schedule.
% 6.83/1.79 % (2495507)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3289618286:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.83/1.79 % (2495510)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2920894131:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.83/1.79 % (2495508)lrs+10_1_sil=8000:sp=occurrence:random_seed=3902481848:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.83/1.79 % (2495506)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1817620367:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.83/1.79 % (2495509)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3251215175:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.83/1.79 % (2495505)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=2194343751:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.83/1.79 % (2495511)dis-21_1_sil=8000:lcm=predicate:random_seed=1603654475: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)
% 6.83/1.79 % (2495508)Instruction limit reached!
% 6.83/1.79 % (2495508)------------------------------
% 6.83/1.79 % (2495508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.79 % (2495508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.79 % (2495508)CaDiCaL version: 2.1.3
% 6.83/1.79 % (2495508)Termination reason: Instruction limit
% 6.83/1.79 % (2495508)Termination phase: Saturation
% 6.83/1.79 % (2495508)Time elapsed: 0.066 s
% 6.83/1.79 % (2495508)Peak memory usage: 88 MB
% 6.83/1.79 % (2495508)Instructions burned: 108 (million)
% 6.83/1.79 % (2495509)Instruction limit reached!
% 6.83/1.79 % (2495509)------------------------------
% 6.83/1.79 % (2495509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.79 % (2495509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.79 % (2495509)CaDiCaL version: 2.1.3
% 6.83/1.79 % (2495509)Termination reason: Instruction limit
% 6.83/1.79 % (2495509)Termination phase: Saturation
% 6.83/1.79 % (2495509)Time elapsed: 0.070 s
% 6.83/1.79 % (2495509)Peak memory usage: 88 MB
% 6.83/1.79 % (2495509)Instructions burned: 114 (million)
% 6.83/1.79 % (2495511)Instruction limit reached!
% 6.83/1.79 % (2495511)------------------------------
% 6.83/1.79 % (2495511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.79 % (2495511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.79 % (2495511)CaDiCaL version: 2.1.3
% 6.83/1.79 % (2495511)Termination reason: Instruction limit
% 6.83/1.79 % (2495511)Termination phase: Saturation
% 6.83/1.79 % (2495511)Time elapsed: 0.073 s
% 6.83/1.79 % (2495511)Peak memory usage: 89 MB
% 6.83/1.79 % (2495511)Instructions burned: 117 (million)
% 6.83/1.79 % (2495510)Instruction limit reached!
% 6.83/1.79 % (2495510)------------------------------
% 6.83/1.79 % (2495510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.79 % (2495510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.79 % (2495510)CaDiCaL version: 2.1.3
% 6.83/1.79 % (2495510)Termination reason: Instruction limit
% 6.83/1.79 % (2495510)Termination phase: Saturation
% 6.83/1.79 % (2495510)Time elapsed: 0.117 s
% 6.83/1.79 % (2495510)Peak memory usage: 89 MB
% 6.83/1.79 % (2495510)Instructions burned: 181 (million)
% 6.83/1.79 % (2495519)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=38440712:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.83/1.79 % (2495521)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3035988566:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.83/1.79 % (2495520)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2482706720: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)
% 6.83/1.79 % (2495521)Refutation not found, incomplete strategy
% 6.83/1.79 % (2495521)------------------------------
% 6.83/1.79 % (2495521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.79 % (2495519)Refutation not found, incomplete strategy
% 6.83/1.79 % (2495519)------------------------------
% 6.83/1.79 % (2495519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.79 % (2495521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.79 % (2495519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.79 % (2495521)CaDiCaL version: 2.1.3
% 6.83/1.79 % (2495519)CaDiCaL version: 2.1.3
% 6.83/1.79 % (2495519)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.79 % (2495519)Time elapsed: 0.001 s
% 6.83/1.79 % (2495521)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.79 % (2495521)Time elapsed: 0.001 s
% 6.83/1.79 % (2495519)Peak memory usage: 87 MB
% 6.83/1.79 % (2495521)Peak memory usage: 87 MB
% 6.83/1.79 % (2495522)lrs+10_64_to=lpo:sil=8000:random_seed=2366673412:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.83/1.79 % (2495522)Instruction limit reached!
% 6.83/1.79 % (2495522)------------------------------
% 6.83/1.79 % (2495522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.79 % (2495522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.79 % (2495522)CaDiCaL version: 2.1.3
% 6.83/1.79 % (2495522)Termination reason: Instruction limit
% 6.83/1.79 % (2495522)Termination phase: Saturation
% 6.83/1.79 % (2495522)Time elapsed: 0.051 s
% 6.83/1.79 % (2495522)Peak memory usage: 88 MB
% 6.83/1.79 % (2495522)Instructions burned: 126 (million)
% 6.83/1.79 % (2495520)Instruction limit reached!
% 6.83/1.79 % (2495520)------------------------------
% 6.83/1.79 % (2495520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.79 % (2495520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.79 % (2495520)CaDiCaL version: 2.1.3
% 6.83/1.79 % (2495520)Termination reason: Instruction limit
% 6.83/1.79 % (2495520)Termination phase: Saturation
% 6.83/1.79 % (2495520)Time elapsed: 0.107 s
% 6.83/1.79 % (2495520)Peak memory usage: 89 MB
% 6.83/1.79 % (2495520)Instructions burned: 191 (million)
% 6.83/1.79 % (2495527)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4281879165:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.83/1.79 % (2495519)------------------------------
% 6.83/1.79 % (2495519)------------------------------
% 6.83/1.79 % (2495521)------------------------------
% 6.83/1.79 % (2495521)------------------------------
% 6.83/1.79 % (2495528)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3055759852:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.83/1.79 % (2495527)Instruction limit reached!
% 6.83/1.79 % (2495527)------------------------------
% 6.83/1.79 % (2495527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.79 % (2495527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.79 % (2495527)CaDiCaL version: 2.1.3
% 6.83/1.79 % (2495527)Termination reason: Instruction limit
% 6.83/1.79 % (2495527)Termination phase: Saturation
% 6.83/1.79 % (2495527)Time elapsed: 0.071 s
% 6.83/1.79 % (2495527)Peak memory usage: 90 MB
% 6.83/1.79 % (2495527)Instructions burned: 197 (million)
% 6.83/1.79 % (2495533)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=210733051:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.83/1.79 % (2495533)Refutation not found, incomplete strategy
% 6.83/1.79 % (2495533)------------------------------
% 6.83/1.79 % (2495533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.79 % (2495533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.79 % (2495533)CaDiCaL version: 2.1.3
% 6.83/1.79 % (2495533)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.79 % (2495533)Time elapsed: 0.0000 s
% 6.83/1.79 % (2495533)Peak memory usage: 87 MB
% 6.83/1.79 % (2495528)Instruction limit reached!
% 6.83/1.79 % (2495528)------------------------------
% 6.83/1.79 % (2495528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.79 % (2495528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.79 % (2495528)CaDiCaL version: 2.1.3
% 6.83/1.79 % (2495528)Termination reason: Instruction limit
% 6.83/1.79 % (2495528)Termination phase: Saturation
% 6.83/1.79 % (2495528)Time elapsed: 0.111 s
% 6.83/1.79 % (2495528)Peak memory usage: 91 MB
% 6.83/1.79 % (2495528)Instructions burned: 158 (million)
% 6.83/1.79 % (2495531)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=855586111:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.64/1.99 % (2495532)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=3053249693:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 8.64/1.99 % (2495532)Instruction limit reached!
% 8.64/1.99 % (2495532)------------------------------
% 8.64/1.99 % (2495532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.99 % (2495532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.99 % (2495532)CaDiCaL version: 2.1.3
% 8.64/1.99 % (2495532)Termination reason: Instruction limit
% 8.64/1.99 % (2495532)Termination phase: Saturation
% 8.64/1.99 % (2495532)Time elapsed: 0.061 s
% 8.64/1.99 % (2495532)Peak memory usage: 88 MB
% 8.64/1.99 % (2495532)Instructions burned: 107 (million)
% 8.64/1.99 % (2495533)------------------------------
% 8.64/1.99 % (2495533)------------------------------
% 8.64/1.99 % (2495535)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3008615462:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 8.64/1.99 % (2495540)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2529605833:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 8.64/1.99 % (2495505)First to succeed.
% 8.64/1.99 % (2495505)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2495500"
% 8.64/1.99 % (2495538)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2575989864:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 8.64/1.99 % (2495540)Instruction limit reached!
% 8.64/1.99 % (2495540)------------------------------
% 8.64/1.99 % (2495540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.99 % (2495540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.99 % (2495540)CaDiCaL version: 2.1.3
% 8.64/1.99 % (2495540)Termination reason: Instruction limit
% 8.64/1.99 % (2495540)Termination phase: Saturation
% 8.64/1.99 % (2495540)Time elapsed: 0.049 s
% 8.64/1.99 % (2495540)Peak memory usage: 89 MB
% 8.64/1.99 % (2495540)Instructions burned: 134 (million)
% 8.64/1.99 % (2495535)Instruction limit reached!
% 8.64/1.99 % (2495535)------------------------------
% 8.64/1.99 % (2495535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.99 % (2495535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.99 % (2495535)CaDiCaL version: 2.1.3
% 8.64/1.99 % (2495535)Termination reason: Instruction limit
% 8.64/1.99 % (2495535)Termination phase: Saturation
% 8.64/1.99 % (2495535)Time elapsed: 0.142 s
% 8.64/1.99 % (2495535)Peak memory usage: 90 MB
% 8.64/1.99 % (2495535)Instructions burned: 242 (million)
% 8.64/1.99 % (2495543)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3845944545:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 8.64/1.99 % (2495544)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2692302770:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 8.64/1.99 % (2495505)Refutation found. Thanks to Tanya!
% 8.64/1.99 % SZS status Unsatisfiable for theBenchmark
% 8.64/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 8.64/1.99 % (2495505)------------------------------
% 8.64/1.99 % (2495505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.64/1.99 % (2495505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.99 % (2495505)CaDiCaL version: 2.1.3
% 8.64/1.99 % (2495505)Termination reason: Refutation
% 8.64/1.99 % (2495505)Time elapsed: 0.784 s
% 8.64/1.99 % (2495505)Peak memory usage: 129 MB
% 8.64/1.99 % (2495505)Instructions burned: 1177 (million)
% 8.64/1.99 % (2495505)------------------------------
% 8.64/1.99 % (2495505)------------------------------
% 8.64/1.99 % (2495500)Success in time 1.18 s
% 8.64/1.99 % Vampire exiting
%------------------------------------------------------------------------------