%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL131-1 : 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 : n009.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 11:51:18 AM UTC 2026
% Result : Unsatisfiable 20.08s 4.16s
% Output : Refutation 20.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 61 ( 29 unt; 8 def)
% Number of atoms : 109 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 99 ( 51 ~; 47 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn 109 !; 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,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_6) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_2) ).
fof(f4,definition,
sF0 = equivalent(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
equivalent(b,c) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = equivalent(b,e),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
equivalent(b,e) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = equivalent(c,e),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
equivalent(c,e) = 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(sF0,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f13,plain,
equivalent(sF0,sF3) = sF4,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF5 = equivalent(a,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f15,plain,
equivalent(a,sF4) = sF5,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF6 = equivalent(a,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f17,plain,
equivalent(a,sF5) = sF6,
inference(reorient_equations,[],[f16]) ).
fof(f18,plain,
~ is_a_theorem(sF6),
inference(definition_folding,[],[f3,f17,f15,f13,f11,f9,f7,f5]) ).
fof(f22,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(b,X1),equivalent(c,X1)),sF0)),X0)),
inference(superposition,[],[f2,f5]) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))))
| is_a_theorem(X0) ),
inference(resolution,[],[f1,f2]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2)),equivalent(equivalent(equivalent(X3,X4),equivalent(X5,X4)),equivalent(X3,X5)))),
inference(resolution,[],[f31,f2]) ).
fof(f76,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),
inference(resolution,[],[f63,f31]) ).
fof(f103,definition,
( spl7_7
<=> ! [X4,X5,X3] : is_a_theorem(equivalent(equivalent(equivalent(X3,X4),equivalent(X5,X4)),equivalent(X3,X5))) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f104,plain,
( ! [X3,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X3,X4),equivalent(X5,X4)),equivalent(X3,X5)))
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f109,plain,
spl7_7,
inference(avatar_split_clause,[],[f76,f103]) ).
fof(f110,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3),equivalent(equivalent(X0,X2),X3)))
| ~ spl7_7 ),
inference(resolution,[],[f104,f31]) ).
fof(f124,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X2)),equivalent(X0,X3)))
| ~ spl7_7 ),
inference(resolution,[],[f110,f31]) ).
fof(f125,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3))
| is_a_theorem(equivalent(equivalent(X0,X2),X3)) )
| ~ spl7_7 ),
inference(resolution,[],[f110,f1]) ).
fof(f138,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3),X4),equivalent(equivalent(equivalent(X0,X2),X3),X4)))
| ~ spl7_7 ),
inference(resolution,[],[f124,f31]) ).
fof(f238,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X3,X2)),equivalent(X0,X3)))
| ~ spl7_7 ),
inference(resolution,[],[f138,f31]) ).
fof(f262,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X3,X2)))
| is_a_theorem(equivalent(X0,X3)) )
| ~ spl7_7 ),
inference(resolution,[],[f238,f1]) ).
fof(f321,plain,
( ! [X0] : is_a_theorem(equivalent(X0,X0))
| ~ spl7_7 ),
inference(resolution,[],[f262,f104]) ).
fof(f431,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(X1,X3))))
| ~ spl7_7 ),
inference(resolution,[],[f125,f2]) ).
fof(f435,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2))))
| ~ spl7_7 ),
inference(resolution,[],[f125,f321]) ).
fof(f451,plain,
( ! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X0,X1)) )
| ~ spl7_7 ),
inference(resolution,[],[f435,f1]) ).
fof(f473,plain,
( ! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1))))
| ~ spl7_7 ),
inference(resolution,[],[f431,f262]) ).
fof(f476,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))))
| is_a_theorem(equivalent(X0,equivalent(X1,X3))) )
| ~ spl7_7 ),
inference(resolution,[],[f431,f1]) ).
fof(f568,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) )
| ~ spl7_7 ),
inference(resolution,[],[f451,f476]) ).
fof(f569,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X2)) )
| ~ spl7_7 ),
inference(resolution,[],[f451,f1]) ).
fof(f598,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X0)) )
| ~ spl7_7 ),
inference(resolution,[],[f569,f321]) ).
fof(f620,plain,
( ! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(X2,X0)) )
| ~ spl7_7 ),
inference(resolution,[],[f598,f451]) ).
fof(f625,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3)))))
| ~ spl7_7 ),
inference(resolution,[],[f598,f431]) ).
fof(f711,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X0,X2)) )
| ~ spl7_7 ),
inference(resolution,[],[f620,f1]) ).
fof(f855,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X3,X2)))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(X1,X3)) )
| ~ spl7_7 ),
inference(resolution,[],[f568,f1]) ).
fof(f889,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X2))))
| is_a_theorem(equivalent(X1,X0)) )
| ~ spl7_7 ),
inference(resolution,[],[f855,f473]) ).
fof(f971,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X1)),equivalent(X0,equivalent(X3,X2))))
| ~ spl7_7 ),
inference(resolution,[],[f625,f476]) ).
fof(f1737,plain,
( ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1))))
| ~ spl7_7 ),
inference(resolution,[],[f971,f889]) ).
fof(f3215,plain,
! [X0] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(b,e),sF2),sF0)),X0)),
inference(superposition,[],[f22,f9]) ).
fof(f3216,plain,
! [X0] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(sF1,sF2),sF0)),X0)),
inference(forward_demodulation,[],[f3215,f7]) ).
fof(f3218,plain,
! [X0] : is_a_theorem(equivalent(equivalent(X0,equivalent(sF3,sF0)),X0)),
inference(forward_demodulation,[],[f3216,f11]) ).
fof(f3237,plain,
( ! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(sF3,sF0))))
| is_a_theorem(equivalent(X0,X1)) )
| ~ spl7_7 ),
inference(resolution,[],[f3218,f711]) ).
fof(f3436,plain,
( ! [X0] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(sF0,sF3))))
| ~ spl7_7 ),
inference(resolution,[],[f3237,f1737]) ).
fof(f3439,plain,
( ! [X0] : is_a_theorem(equivalent(X0,equivalent(X0,sF4)))
| ~ spl7_7 ),
inference(forward_demodulation,[],[f3436,f13]) ).
fof(f3802,plain,
( is_a_theorem(equivalent(a,sF5))
| ~ spl7_7 ),
inference(superposition,[],[f3439,f15]) ).
fof(f3803,plain,
( is_a_theorem(sF6)
| ~ spl7_7 ),
inference(forward_demodulation,[],[f3802,f17]) ).
fof(f3804,plain,
( $false
| ~ spl7_7 ),
inference(forward_subsumption_resolution,[],[f3803,f18]) ).
fof(f3805,plain,
~ spl7_7,
inference(avatar_contradiction_clause,[],[f3804]) ).
cnf(s5,plain,
spl7_7,
inference(sat_conversion,[],[f109]) ).
cnf(s22,plain,
~ spl7_7,
inference(sat_conversion,[],[f3805]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s5,s22]) ).
fof(f3806,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL131-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n009.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 15:23:15 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.50 Running first-order theorem proving
% 0.26/0.50 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
% 17.09/3.76 % (2166201)Input is clausal, will run a generic CNF schedule.
% 17.09/3.76 % (2166219)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1915549764:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 17.09/3.76 % (2166219)Instruction limit reached!
% 17.09/3.76 % (2166219)------------------------------
% 17.09/3.76 % (2166219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.76 % (2166219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.76 % (2166219)CaDiCaL version: 2.1.3
% 17.09/3.76 % (2166219)Termination reason: Instruction limit
% 17.09/3.76 % (2166219)Termination phase: Saturation
% 17.09/3.76 % (2166219)Time elapsed: 0.059 s
% 17.09/3.76 % (2166219)Peak memory usage: 88 MB
% 17.09/3.76 % (2166219)Instructions burned: 115 (million)
% 17.09/3.76 % (2166217)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=991146401:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 17.09/3.76 % (2166216)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1617272278:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 17.09/3.76 % (2166215)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=1219504828:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 17.09/3.76 % (2166218)lrs+10_1_sil=8000:sp=occurrence:random_seed=3107059113:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 17.09/3.76 % (2166221)dis-21_1_sil=8000:lcm=predicate:random_seed=3547056095: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)
% 17.09/3.76 % (2166220)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2626388406:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 17.09/3.76 % (2166218)Instruction limit reached!
% 17.09/3.76 % (2166218)------------------------------
% 17.09/3.76 % (2166218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.76 % (2166218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.76 % (2166218)CaDiCaL version: 2.1.3
% 17.09/3.76 % (2166218)Termination reason: Instruction limit
% 17.09/3.76 % (2166218)Termination phase: Saturation
% 17.09/3.76 % (2166218)Time elapsed: 0.111 s
% 17.09/3.76 % (2166218)Peak memory usage: 88 MB
% 17.09/3.76 % (2166218)Instructions burned: 107 (million)
% 17.09/3.76 % (2166221)Instruction limit reached!
% 17.09/3.76 % (2166221)------------------------------
% 17.09/3.76 % (2166221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.76 % (2166221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.76 % (2166221)CaDiCaL version: 2.1.3
% 17.09/3.76 % (2166221)Termination reason: Instruction limit
% 17.09/3.76 % (2166221)Termination phase: Saturation
% 17.09/3.76 % (2166221)Time elapsed: 0.115 s
% 17.09/3.76 % (2166221)Peak memory usage: 88 MB
% 17.09/3.76 % (2166221)Instructions burned: 118 (million)
% 17.09/3.76 % (2166220)Instruction limit reached!
% 17.09/3.76 % (2166220)------------------------------
% 17.09/3.76 % (2166220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.76 % (2166220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.76 % (2166220)CaDiCaL version: 2.1.3
% 17.09/3.76 % (2166220)Termination reason: Instruction limit
% 17.09/3.76 % (2166220)Termination phase: Saturation
% 17.09/3.76 % (2166220)Time elapsed: 0.184 s
% 17.09/3.76 % (2166220)Peak memory usage: 89 MB
% 17.09/3.76 % (2166220)Instructions burned: 180 (million)
% 17.09/3.76 % (2166223)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=759304204:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 17.09/3.76 % (2166223)Refutation not found, incomplete strategy
% 17.09/3.76 % (2166223)------------------------------
% 17.09/3.76 % (2166223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.09/3.76 % (2166223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.09/3.76 % (2166223)CaDiCaL version: 2.1.3
% 17.09/3.76 % (2166223)Termination reason: Refutation not found, incomplete strategy
% 17.09/3.76 % (2166223)Time elapsed: 0.002 s
% 17.09/3.76 % (2166223)Peak memory usage: 87 MB
% 17.09/3.76 % (2166231)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=640053327:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 19.25/3.98 % (2166231)Refutation not found, incomplete strategy
% 19.25/3.98 % (2166231)------------------------------
% 19.25/3.98 % (2166231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.98 % (2166231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.98 % (2166231)CaDiCaL version: 2.1.3
% 19.25/3.98 % (2166231)Termination reason: Refutation not found, incomplete strategy
% 19.25/3.98 % (2166231)Time elapsed: 0.001 s
% 19.25/3.98 % (2166231)Peak memory usage: 87 MB
% 19.25/3.98 % (2166230)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1748101679:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 19.25/3.98 % (2166234)lrs+10_64_to=lpo:sil=8000:random_seed=3935046834:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 19.25/3.98 % (2166223)------------------------------
% 19.25/3.98 % (2166223)------------------------------
% 19.25/3.98 % (2166230)Instruction limit reached!
% 19.25/3.98 % (2166230)------------------------------
% 19.25/3.98 % (2166230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.98 % (2166230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.98 % (2166230)CaDiCaL version: 2.1.3
% 19.25/3.98 % (2166230)Termination reason: Instruction limit
% 19.25/3.98 % (2166230)Termination phase: Saturation
% 19.25/3.98 % (2166230)Time elapsed: 0.170 s
% 19.25/3.98 % (2166230)Peak memory usage: 89 MB
% 19.25/3.98 % (2166230)Instructions burned: 190 (million)
% 19.25/3.98 % (2166234)Instruction limit reached!
% 19.25/3.98 % (2166234)------------------------------
% 19.25/3.98 % (2166234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.98 % (2166234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.98 % (2166234)CaDiCaL version: 2.1.3
% 19.25/3.98 % (2166234)Termination reason: Instruction limit
% 19.25/3.98 % (2166234)Termination phase: Saturation
% 19.25/3.98 % (2166234)Time elapsed: 0.123 s
% 19.25/3.98 % (2166234)Peak memory usage: 88 MB
% 19.25/3.98 % (2166234)Instructions burned: 127 (million)
% 19.25/3.98 % (2166231)------------------------------
% 19.25/3.98 % (2166231)------------------------------
% 19.25/3.98 % (2166239)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=759086385:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 19.25/3.98 % (2166240)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=714388242:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 19.25/3.98 % (2166239)Instruction limit reached!
% 19.25/3.98 % (2166239)------------------------------
% 19.25/3.98 % (2166239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.98 % (2166239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.98 % (2166239)CaDiCaL version: 2.1.3
% 19.25/3.98 % (2166239)Termination reason: Instruction limit
% 19.25/3.98 % (2166239)Termination phase: Saturation
% 19.25/3.98 % (2166239)Time elapsed: 0.096 s
% 19.25/3.98 % (2166239)Peak memory usage: 89 MB
% 19.25/3.98 % (2166239)Instructions burned: 196 (million)
% 19.25/3.98 % (2166241)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4175344665:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 19.25/3.98 % (2166242)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=811358510:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 19.25/3.98 % (2166240)Instruction limit reached!
% 19.25/3.98 % (2166240)------------------------------
% 19.25/3.98 % (2166240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.98 % (2166240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.98 % (2166240)CaDiCaL version: 2.1.3
% 19.25/3.98 % (2166240)Termination reason: Instruction limit
% 19.25/3.98 % (2166240)Termination phase: Saturation
% 19.25/3.98 % (2166240)Time elapsed: 0.152 s
% 19.25/3.98 % (2166240)Peak memory usage: 91 MB
% 19.25/3.98 % (2166240)Instructions burned: 157 (million)
% 19.25/3.98 % (2166245)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2567356479:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 19.25/3.98 % (2166245)Refutation not found, incomplete strategy
% 19.25/3.98 % (2166245)------------------------------
% 19.25/3.98 % (2166245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.98 % (2166245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.98 % (2166245)CaDiCaL version: 2.1.3
% 19.25/3.98 % (2166245)Termination reason: Refutation not found, incomplete strategy
% 19.25/3.98 % (2166245)Time elapsed: 0.001 s
% 19.25/3.98 % (2166245)Peak memory usage: 87 MB
% 19.25/3.98 % (2166242)Instruction limit reached!
% 19.25/3.98 % (2166242)------------------------------
% 19.25/3.98 % (2166242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.98 % (2166242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.98 % (2166242)CaDiCaL version: 2.1.3
% 19.25/3.98 % (2166242)Termination reason: Instruction limit
% 19.25/3.98 % (2166242)Termination phase: Saturation
% 19.25/3.98 % (2166242)Time elapsed: 0.095 s
% 19.25/3.98 % (2166242)Peak memory usage: 88 MB
% 19.25/3.98 % (2166242)Instructions burned: 107 (million)
% 19.25/3.98 % (2166248)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1778146608:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 19.25/3.98 % (2166248)Instruction limit reached!
% 19.25/3.98 % (2166248)------------------------------
% 19.25/3.98 % (2166248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.98 % (2166248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.98 % (2166248)CaDiCaL version: 2.1.3
% 19.25/3.98 % (2166248)Termination reason: Instruction limit
% 19.25/3.98 % (2166248)Termination phase: Saturation
% 19.25/3.98 % (2166248)Time elapsed: 0.100 s
% 19.25/3.98 % (2166248)Peak memory usage: 90 MB
% 19.25/3.98 % (2166248)Instructions burned: 243 (million)
% 19.25/3.98 % (2166250)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=479368753:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 19.25/3.98 % (2166245)------------------------------
% 19.25/3.98 % (2166245)------------------------------
% 19.25/3.98 % (2166252)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4142363300:i=134:sd=2:doe=on:ss=axioms:sgt=14_2983 on theBenchmark for (2983ds/134Mi)
% 19.25/3.98 % (2166252)Instruction limit reached!
% 19.25/3.98 % (2166252)------------------------------
% 19.25/3.98 % (2166252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.98 % (2166252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.98 % (2166252)CaDiCaL version: 2.1.3
% 19.25/3.98 % (2166252)Termination reason: Instruction limit
% 19.25/3.98 % (2166252)Termination phase: Saturation
% 19.25/3.98 % (2166252)Time elapsed: 0.068 s
% 19.25/3.98 % (2166252)Peak memory usage: 89 MB
% 19.25/3.98 % (2166252)Instructions burned: 135 (million)
% 19.25/3.98 % (2166254)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=346162131:i=499:bd=all_2982 on theBenchmark for (2982ds/499Mi)
% 19.25/3.98 % (2166256)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3695354363:i=191:fgj=on:bd=all_2980 on theBenchmark for (2980ds/191Mi)
% 19.25/3.98 % (2166256)Instruction limit reached!
% 19.25/3.98 % (2166256)------------------------------
% 19.25/3.98 % (2166256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.98 % (2166256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.98 % (2166256)CaDiCaL version: 2.1.3
% 19.25/3.98 % (2166256)Termination reason: Instruction limit
% 19.25/3.98 % (2166256)Termination phase: Saturation
% 19.25/3.98 % (2166256)Time elapsed: 0.101 s
% 19.25/3.98 % (2166256)Peak memory usage: 89 MB
% 19.25/3.98 % (2166256)Instructions burned: 191 (million)
% 19.25/3.98 % (2166215)First to succeed.
% 19.25/3.98 % (2166215)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2166201"
% 19.25/3.98 % (2166259)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=92242419:i=264:kws=precedence:fsr=off_2977 on theBenchmark for (2977ds/264Mi)
% 19.25/3.98 % (2166254)Instruction limit reached!
% 19.25/3.98 % (2166254)------------------------------
% 19.25/3.98 % (2166254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.25/3.98 % (2166254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.25/3.98 % (2166254)CaDiCaL version: 2.1.3
% 19.25/3.98 % (2166254)Termination reason: Instruction limit
% 19.25/3.98 % (2166254)Termination phase: Saturation
% 20.08/4.16 % (2166254)Time elapsed: 0.466 s
% 20.08/4.16 % (2166254)Peak memory usage: 91 MB
% 20.08/4.16 % (2166254)Instructions burned: 499 (million)
% 20.08/4.16 % (2166259)Instruction limit reached!
% 20.08/4.16 % (2166259)------------------------------
% 20.08/4.16 % (2166259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.08/4.16 % (2166259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.08/4.16 % (2166259)CaDiCaL version: 2.1.3
% 20.08/4.16 % (2166259)Termination reason: Instruction limit
% 20.08/4.16 % (2166259)Termination phase: Saturation
% 20.08/4.16 % (2166259)Time elapsed: 0.128 s
% 20.08/4.16 % (2166259)Peak memory usage: 91 MB
% 20.08/4.16 % (2166259)Instructions burned: 265 (million)
% 20.08/4.16 % (2166215)Refutation found. Thanks to Tanya!
% 20.08/4.16 % SZS status Unsatisfiable for theBenchmark
% 20.08/4.16 % SZS output start Proof for theBenchmark
% See solution above
% 20.08/4.17 % (2166215)------------------------------
% 20.08/4.17 % (2166215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.08/4.17 % (2166215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.08/4.17 % (2166215)CaDiCaL version: 2.1.3
% 20.08/4.17 % (2166215)Termination reason: Refutation
% 20.08/4.17 % (2166215)Time elapsed: 2.0000 s
% 20.08/4.17 % (2166215)Peak memory usage: 138 MB
% 20.08/4.17 % (2166215)Instructions burned: 1887 (million)
% 20.08/4.17 % (2166215)------------------------------
% 20.08/4.17 % (2166215)------------------------------
% 20.08/4.17 % (2166201)Success in time 2.721 s
% 20.08/4.17 % Vampire exiting
%------------------------------------------------------------------------------