%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL071-1 : 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 : n001.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 11:51:06 AM UTC 2026
% Result : Unsatisfiable 5.71s 2.31s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 75 ( 21 unt; 6 def)
% Number of atoms : 180 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 214 ( 109 ~; 102 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 131 ( 0 sgn 131 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(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(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_19) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_37) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_60) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_2) ).
fof(f6,definition,
sF0 = not(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
not(a) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = implies(sF0,a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
implies(sF0,a) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = implies(sF1,a),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
implies(sF1,a) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,plain,
~ is_a_theorem(sF2),
inference(definition_folding,[],[f5,f11,f9,f7]) ).
fof(f13,plain,
implies(not(a),a) = sF1,
inference(forward_demodulation,[],[f9,f7]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f2,f1]) ).
fof(f15,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))
| ~ is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(resolution,[],[f4,f1]) ).
fof(f16,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f14,f2]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(not(X0),X2)) ),
inference(resolution,[],[f3,f1]) ).
fof(f20,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))),
inference(resolution,[],[f19,f2]) ).
fof(f23,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X3,X2),implies(implies(X1,X3),X2)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(resolution,[],[f15,f1]) ).
fof(f26,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f16,f1]) ).
fof(f28,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[],[f16,f14]) ).
fof(f119,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X3,X2))
| is_a_theorem(implies(implies(X1,X3),X2)) ),
inference(resolution,[],[f23,f1]) ).
fof(f149,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(implies(X3,X1),X2))
| ~ is_a_theorem(implies(not(X3),X2)) ),
inference(resolution,[],[f119,f26]) ).
fof(f159,definition,
( spl3_7
<=> ! [X2,X1,X3] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(not(X3),X2))
| is_a_theorem(implies(implies(X3,X1),X2)) ) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f160,plain,
( ! [X2,X3,X1] :
( is_a_theorem(implies(implies(X3,X1),X2))
| ~ is_a_theorem(implies(not(X3),X2))
| ~ is_a_theorem(implies(X1,X2)) )
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,definition,
( spl3_8
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f163,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f164,plain,
( spl3_7
| spl3_8 ),
inference(avatar_split_clause,[],[f149,f162,f159]) ).
fof(f197,plain,
( $false
| ~ spl3_8 ),
inference(resolution,[],[f163,f2]) ).
fof(f230,plain,
~ spl3_8,
inference(avatar_contradiction_clause,[],[f197]) ).
fof(f233,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X2))
| is_a_theorem(X1) )
| ~ spl3_7 ),
inference(resolution,[],[f160,f1]) ).
fof(f238,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X1),X0))
| ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,X2)) )
| ~ spl3_7 ),
inference(resolution,[],[f233,f20]) ).
fof(f254,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X1,X2)))
| is_a_theorem(implies(X1,X2)) )
| ~ spl3_7 ),
inference(resolution,[],[f238,f2]) ).
fof(f267,plain,
( ! [X0] : is_a_theorem(implies(X0,X0))
| ~ spl3_7 ),
inference(resolution,[],[f254,f2]) ).
fof(f269,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X2,X1),implies(implies(X0,X2),X1))))
| ~ spl3_7 ),
inference(resolution,[],[f254,f4]) ).
fof(f289,plain,
( ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1)))
| ~ spl3_7 ),
inference(resolution,[],[f267,f19]) ).
fof(f292,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(implies(X1,X2)) )
| ~ spl3_7 ),
inference(resolution,[],[f289,f233]) ).
fof(f305,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl3_7 ),
inference(resolution,[],[f292,f28]) ).
fof(f314,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl3_7 ),
inference(resolution,[],[f292,f267]) ).
fof(f351,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl3_7 ),
inference(resolution,[],[f305,f292]) ).
fof(f357,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(not(X0),implies(X3,X2)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) )
| ~ spl3_7 ),
inference(resolution,[],[f305,f19]) ).
fof(f368,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(X2,X3))
| is_a_theorem(implies(not(X0),X3)) )
| ~ spl3_7 ),
inference(resolution,[],[f351,f19]) ).
fof(f372,plain,
( ! [X0] :
( is_a_theorem(sF2)
| ~ is_a_theorem(implies(sF1,X0))
| ~ is_a_theorem(implies(X0,a)) )
| ~ spl3_7 ),
inference(superposition,[],[f351,f11]) ).
fof(f374,plain,
( ! [X0] :
( ~ is_a_theorem(implies(sF1,X0))
| ~ is_a_theorem(implies(X0,a)) )
| ~ spl3_7 ),
inference(forward_subsumption_resolution,[],[f372,f12]) ).
fof(f443,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),X1)))
| ~ is_a_theorem(implies(not(X0),X1)) )
| ~ spl3_7 ),
inference(resolution,[],[f269,f1]) ).
fof(f476,plain,
( ! [X0] :
( is_a_theorem(implies(implies(X0,X0),X0))
| ~ is_a_theorem(implies(not(X0),X0)) )
| ~ spl3_7 ),
inference(resolution,[],[f443,f314]) ).
fof(f486,plain,
( ! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| ~ is_a_theorem(implies(X0,X0))
| is_a_theorem(X0) )
| ~ spl3_7 ),
inference(resolution,[],[f476,f1]) ).
fof(f490,plain,
( ! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) )
| ~ spl3_7 ),
inference(forward_subsumption_resolution,[],[f486,f267]) ).
fof(f494,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl3_7 ),
inference(resolution,[],[f490,f357]) ).
fof(f512,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ spl3_7 ),
inference(resolution,[],[f494,f3]) ).
fof(f524,plain,
( ! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(not(X0),X0)) )
| ~ spl3_7 ),
inference(resolution,[],[f512,f292]) ).
fof(f728,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(not(implies(X3,X0)),X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) )
| ~ spl3_7 ),
inference(resolution,[],[f368,f2]) ).
fof(f751,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X0)))
| is_a_theorem(implies(X2,X0)) )
| ~ spl3_7 ),
inference(resolution,[],[f728,f490]) ).
fof(f801,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(not(X0),X1)) )
| ~ spl3_7 ),
inference(resolution,[],[f751,f443]) ).
fof(f895,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),implies(X1,X0)))
| is_a_theorem(implies(X1,X0)) )
| ~ spl3_7 ),
inference(resolution,[],[f801,f751]) ).
fof(f931,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl3_7 ),
inference(resolution,[],[f895,f524]) ).
fof(f1189,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X3),implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_7 ),
inference(resolution,[],[f931,f728]) ).
fof(f1844,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(X2),implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_7 ),
inference(resolution,[],[f1189,f801]) ).
fof(f1874,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(not(X1)),X1)))
| ~ spl3_7 ),
inference(resolution,[],[f1844,f512]) ).
fof(f1890,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(implies(not(X2),X1),X2)) )
| ~ spl3_7 ),
inference(resolution,[],[f1874,f119]) ).
fof(f1926,definition,
( spl3_28
<=> ! [X2,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(implies(not(X2),X1),X2)) ) ),
introduced(definition,[new_symbols(definition,[spl3_28])],[avatar_definition]) ).
fof(f1927,plain,
( ! [X2,X1] :
( is_a_theorem(implies(implies(not(X2),X1),X2))
| ~ is_a_theorem(implies(X1,X2)) )
| ~ spl3_28 ),
inference(avatar_component_clause,[],[f1926]) ).
fof(f1928,plain,
( spl3_28
| spl3_8
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f1890,f159,f162,f1926]) ).
fof(f2017,plain,
( is_a_theorem(implies(sF1,a))
| ~ is_a_theorem(implies(a,a))
| ~ spl3_28 ),
inference(superposition,[],[f1927,f13]) ).
fof(f2018,plain,
( ~ is_a_theorem(implies(a,a))
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_subsumption_resolution,[],[f2017,f374]) ).
fof(f2019,plain,
( $false
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_subsumption_resolution,[],[f2018,f267]) ).
fof(f2020,plain,
( ~ spl3_7
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f2019]) ).
cnf(s6,plain,
( spl3_7
| spl3_8 ),
inference(sat_conversion,[],[f164]) ).
cnf(s23,plain,
~ spl3_8,
inference(sat_conversion,[],[f230]) ).
cnf(s44,plain,
( ~ spl3_7
| spl3_8
| spl3_28 ),
inference(sat_conversion,[],[f1928]) ).
cnf(s46,plain,
( ~ spl3_7
| ~ spl3_28 ),
inference(sat_conversion,[],[f2020]) ).
cnf(s49,plain,
spl3_7,
inference(rat,[],[s6,s23]) ).
cnf(s50,plain,
~ spl3_28,
inference(rat,[],[s46,s49]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s44,s23,s50,s49]) ).
fof(f2021,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL071-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n001.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sun Sep 27 15:26:31 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 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
% 5.71/2.31 % (3703058)Input is clausal, will run a generic CNF schedule.
% 5.71/2.31 % (3703066)lrs+10_1_sil=8000:sp=occurrence:random_seed=3119853802:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.71/2.31 % (3703064)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3979767360:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.71/2.31 % (3703065)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2745958684:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.71/2.31 % (3703066)Instruction limit reached!
% 5.71/2.31 % (3703066)------------------------------
% 5.71/2.31 % (3703066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/2.31 % (3703066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/2.31 % (3703066)CaDiCaL version: 2.1.3
% 5.71/2.31 % (3703066)Termination reason: Instruction limit
% 5.71/2.31 % (3703066)Termination phase: Saturation
% 5.71/2.31 % (3703066)Time elapsed: 0.037 s
% 5.71/2.31 % (3703066)Peak memory usage: 89 MB
% 5.71/2.31 % (3703066)Instructions burned: 110 (million)
% 5.71/2.31 % (3703067)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3184475128:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.71/2.31 % (3703069)dis-21_1_sil=8000:lcm=predicate:random_seed=4102413830: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)
% 5.71/2.31 % (3703068)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1171058008:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.71/2.31 % (3703063)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=2803925216:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.71/2.31 % (3703067)Instruction limit reached!
% 5.71/2.31 % (3703067)------------------------------
% 5.71/2.31 % (3703067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/2.31 % (3703067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/2.31 % (3703067)CaDiCaL version: 2.1.3
% 5.71/2.31 % (3703067)Termination reason: Instruction limit
% 5.71/2.31 % (3703067)Termination phase: Saturation
% 5.71/2.31 % (3703067)Time elapsed: 0.069 s
% 5.71/2.31 % (3703067)Peak memory usage: 88 MB
% 5.71/2.31 % (3703067)Instructions burned: 115 (million)
% 5.71/2.31 % (3703069)Instruction limit reached!
% 5.71/2.31 % (3703069)------------------------------
% 5.71/2.31 % (3703069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/2.31 % (3703069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/2.31 % (3703069)CaDiCaL version: 2.1.3
% 5.71/2.31 % (3703069)Termination reason: Instruction limit
% 5.71/2.31 % (3703069)Termination phase: Saturation
% 5.71/2.31 % (3703069)Time elapsed: 0.071 s
% 5.71/2.31 % (3703069)Peak memory usage: 88 MB
% 5.71/2.31 % (3703069)Instructions burned: 117 (million)
% 5.71/2.31 % (3703073)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=4215154413:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.71/2.31 % (3703073)Refutation not found, incomplete strategy
% 5.71/2.31 % (3703073)------------------------------
% 5.71/2.31 % (3703073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/2.31 % (3703073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/2.31 % (3703073)CaDiCaL version: 2.1.3
% 5.71/2.31 % (3703073)Termination reason: Refutation not found, incomplete strategy
% 5.71/2.31 % (3703073)Time elapsed: 0.0000 s
% 5.71/2.31 % (3703073)Peak memory usage: 87 MB
% 5.71/2.31 % (3703068)Instruction limit reached!
% 5.71/2.31 % (3703068)------------------------------
% 5.71/2.31 % (3703068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/2.31 % (3703068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/2.31 % (3703068)CaDiCaL version: 2.1.3
% 5.71/2.31 % (3703068)Termination reason: Instruction limit
% 5.71/2.31 % (3703068)Termination phase: Saturation
% 5.71/2.31 % (3703068)Time elapsed: 0.110 s
% 5.71/2.31 % (3703068)Peak memory usage: 89 MB
% 5.71/2.31 % (3703068)Instructions burned: 181 (million)
% 5.71/2.31 % (3703078)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1989279268: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)
% 5.71/2.31 % (3703079)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2056397261:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.71/2.31 % (3703079)Refutation not found, incomplete strategy
% 5.71/2.31 % (3703079)------------------------------
% 5.71/2.31 % (3703079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/2.31 % (3703079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/2.31 % (3703079)CaDiCaL version: 2.1.3
% 5.71/2.31 % (3703079)Termination reason: Refutation not found, incomplete strategy
% 5.71/2.31 % (3703079)Time elapsed: 0.001 s
% 5.71/2.31 % (3703079)Peak memory usage: 87 MB
% 5.71/2.31 % (3703073)------------------------------
% 5.71/2.31 % (3703073)------------------------------
% 5.71/2.31 % (3703081)lrs+10_64_to=lpo:sil=8000:random_seed=480274546:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.71/2.31 % (3703078)Instruction limit reached!
% 5.71/2.31 % (3703078)------------------------------
% 5.71/2.31 % (3703078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/2.31 % (3703078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/2.31 % (3703078)CaDiCaL version: 2.1.3
% 5.71/2.31 % (3703078)Termination reason: Instruction limit
% 5.71/2.31 % (3703078)Termination phase: Saturation
% 5.71/2.31 % (3703078)Time elapsed: 0.109 s
% 5.71/2.31 % (3703078)Peak memory usage: 89 MB
% 5.71/2.31 % (3703078)Instructions burned: 190 (million)
% 5.71/2.31 % (3703081)Instruction limit reached!
% 5.71/2.31 % (3703081)------------------------------
% 5.71/2.31 % (3703081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/2.31 % (3703081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/2.31 % (3703081)CaDiCaL version: 2.1.3
% 5.71/2.31 % (3703081)Termination reason: Instruction limit
% 5.71/2.31 % (3703081)Termination phase: Saturation
% 5.71/2.31 % (3703081)Time elapsed: 0.086 s
% 5.71/2.31 % (3703081)Peak memory usage: 89 MB
% 5.71/2.31 % (3703081)Instructions burned: 127 (million)
% 5.71/2.31 % (3703084)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1301196881:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.71/2.31 % (3703084)Instruction limit reached!
% 5.71/2.31 % (3703084)------------------------------
% 5.71/2.31 % (3703084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/2.31 % (3703084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/2.31 % (3703084)CaDiCaL version: 2.1.3
% 5.71/2.31 % (3703084)Termination reason: Instruction limit
% 5.71/2.31 % (3703084)Termination phase: Saturation
% 5.71/2.31 % (3703084)Time elapsed: 0.066 s
% 5.71/2.31 % (3703084)Peak memory usage: 89 MB
% 5.71/2.31 % (3703084)Instructions burned: 196 (million)
% 5.71/2.31 % (3703086)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3132393961:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.71/2.31 % (3703079)------------------------------
% 5.71/2.31 % (3703079)------------------------------
% 5.71/2.31 % (3703087)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3456445015:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.71/2.31 % (3703089)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=1631684301:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 5.71/2.31 % (3703086)Instruction limit reached!
% 5.71/2.31 % (3703086)------------------------------
% 5.71/2.31 % (3703086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/2.31 % (3703086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/2.31 % (3703086)CaDiCaL version: 2.1.3
% 5.71/2.31 % (3703086)Termination reason: Instruction limit
% 5.71/2.31 % (3703086)Termination phase: Saturation
% 5.71/2.31 % (3703086)Time elapsed: 0.108 s
% 5.71/2.31 % (3703086)Peak memory usage: 90 MB
% 5.71/2.31 % (3703086)Instructions burned: 158 (million)
% 5.71/2.31 % (3703089)Instruction limit reached!
% 5.71/2.31 % (3703089)------------------------------
% 5.71/2.31 % (3703089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/2.31 % (3703089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/2.31 % (3703089)CaDiCaL version: 2.1.3
% 5.71/2.31 % (3703089)Termination reason: Instruction limit
% 5.71/2.31 % (3703089)Termination phase: Saturation
% 5.71/2.31 % (3703089)Time elapsed: 0.031 s
% 5.71/2.31 % (3703089)Peak memory usage: 88 MB
% 5.71/2.31 % (3703089)Instructions burned: 106 (million)
% 5.71/2.31 % (3703091)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2411182066:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 5.71/2.31 % (3703091)Refutation not found, incomplete strategy
% 5.71/2.31 % (3703091)------------------------------
% 5.71/2.31 % (3703091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/2.31 % (3703091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/2.31 % (3703091)CaDiCaL version: 2.1.3
% 5.71/2.31 % (3703091)Termination reason: Refutation not found, incomplete strategy
% 5.71/2.31 % (3703091)Time elapsed: 0.001 s
% 5.71/2.31 % (3703091)Peak memory usage: 87 MB
% 5.71/2.31 % (3703095)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2907012940:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 5.71/2.31 % (3703094)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=725085497:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 5.71/2.31 % (3703094)Instruction limit reached!
% 5.71/2.31 % (3703094)------------------------------
% 5.71/2.31 % (3703094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/2.31 % (3703094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/2.31 % (3703094)CaDiCaL version: 2.1.3
% 5.71/2.31 % (3703094)Termination reason: Instruction limit
% 5.71/2.31 % (3703094)Termination phase: Saturation
% 5.71/2.31 % (3703094)Time elapsed: 0.147 s
% 5.71/2.31 % (3703094)Peak memory usage: 89 MB
% 5.71/2.31 % (3703094)Instructions burned: 242 (million)
% 5.71/2.31 % (3703065)First to succeed.
% 5.71/2.31 % (3703065)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3703058"
% 5.71/2.31 % (3703091)------------------------------
% 5.71/2.31 % (3703091)------------------------------
% 5.71/2.31 % (3703101)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1009146582:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 5.71/2.31 % (3703102)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1114048701:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 5.71/2.31 % (3703101)Instruction limit reached!
% 5.71/2.31 % (3703101)------------------------------
% 5.71/2.31 % (3703101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/2.31 % (3703101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/2.31 % (3703101)CaDiCaL version: 2.1.3
% 5.71/2.31 % (3703101)Termination reason: Instruction limit
% 5.71/2.31 % (3703101)Termination phase: Saturation
% 5.71/2.31 % (3703101)Time elapsed: 0.091 s
% 5.71/2.31 % (3703101)Peak memory usage: 89 MB
% 5.71/2.31 % (3703101)Instructions burned: 134 (million)
% 5.71/2.31 % (3703065)Refutation found. Thanks to Tanya!
% 5.71/2.31 % SZS status Unsatisfiable for theBenchmark
% 5.71/2.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/2.50 % (3703065)------------------------------
% 0.27/2.50 % (3703065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/2.50 % (3703065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/2.50 % (3703065)CaDiCaL version: 2.1.3
% 0.27/2.50 % (3703065)Termination reason: Refutation
% 0.27/2.50 % (3703065)Time elapsed: 0.904 s
% 0.27/2.50 % (3703065)Peak memory usage: 131 MB
% 0.27/2.50 % (3703065)Instructions burned: 1344 (million)
% 0.27/2.50 % (3703065)------------------------------
% 0.27/2.50 % (3703065)------------------------------
% 0.27/2.50 % (3703058)Success in time 1.319 s
% 0.27/2.50 % Vampire exiting
%------------------------------------------------------------------------------