%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL080-1 : 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 : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:51:08 AM UTC 2026
% Result : Unsatisfiable 2.72s 1.30s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 22
% Syntax : Number of formulae : 97 ( 39 unt; 17 def)
% Number of atoms : 195 ( 24 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 188 ( 90 ~; 87 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 12 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 38 !; 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,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_2) ).
fof(f3,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_3) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_4) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_JLukasiewicz) ).
fof(f6,definition,
sF0 = implies(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
implies(a,b) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = implies(sF0,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
implies(sF0,c) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = implies(c,a),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
implies(c,a) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF3 = implies(e,a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f13,plain,
implies(e,a) = sF3,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF4 = implies(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f15,plain,
implies(sF2,sF3) = sF4,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF5 = implies(sF1,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f17,plain,
implies(sF1,sF4) = sF5,
inference(reorient_equations,[],[f16]) ).
fof(f18,plain,
~ is_a_theorem(sF5),
inference(definition_folding,[],[f5,f17,f15,f13,f11,f9,f7]) ).
fof(f20,definition,
( spl6_1
<=> is_a_theorem(sF5) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f22,plain,
( ~ is_a_theorem(sF5)
| spl6_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f23,plain,
~ spl6_1,
inference(avatar_split_clause,[],[f18,f20]) ).
fof(f25,definition,
( spl6_2
<=> implies(a,b) = sF0 ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f27,plain,
( implies(a,b) = sF0
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f28,plain,
spl6_2,
inference(avatar_split_clause,[],[f7,f25]) ).
fof(f30,definition,
( spl6_3
<=> implies(sF0,c) = sF1 ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f32,plain,
( implies(sF0,c) = sF1
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f33,plain,
spl6_3,
inference(avatar_split_clause,[],[f9,f30]) ).
fof(f35,definition,
( spl6_4
<=> implies(c,a) = sF2 ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f37,plain,
( implies(c,a) = sF2
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f38,plain,
spl6_4,
inference(avatar_split_clause,[],[f11,f35]) ).
fof(f40,definition,
( spl6_5
<=> implies(e,a) = sF3 ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f42,plain,
( implies(e,a) = sF3
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f43,plain,
spl6_5,
inference(avatar_split_clause,[],[f13,f40]) ).
fof(f45,definition,
( spl6_6
<=> implies(sF2,sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f47,plain,
( implies(sF2,sF3) = sF4
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
spl6_6,
inference(avatar_split_clause,[],[f15,f45]) ).
fof(f50,definition,
( spl6_7
<=> implies(sF1,sF4) = sF5 ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f52,plain,
( implies(sF1,sF4) = sF5
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,plain,
spl6_7,
inference(avatar_split_clause,[],[f17,f50]) ).
fof(f56,plain,
( is_a_theorem(implies(a,sF3))
| ~ spl6_5 ),
inference(superposition,[],[f2,f42]) ).
fof(f76,definition,
( spl6_11
<=> is_a_theorem(implies(a,sF3)) ),
introduced(definition,[new_symbols(definition,[spl6_11])],[avatar_definition]) ).
fof(f78,plain,
( is_a_theorem(implies(a,sF3))
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,plain,
( spl6_11
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f56,f40,f76]) ).
fof(f90,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f2]) ).
fof(f140,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f3,f1]) ).
fof(f141,plain,
( is_a_theorem(implies(implies(sF0,a),a))
| ~ spl6_2 ),
inference(superposition,[],[f3,f27]) ).
fof(f173,definition,
( spl6_28
<=> is_a_theorem(implies(implies(sF0,a),a)) ),
introduced(definition,[new_symbols(definition,[spl6_28])],[avatar_definition]) ).
fof(f175,plain,
( is_a_theorem(implies(implies(sF0,a),a))
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f176,plain,
( spl6_28
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f141,f25,f173]) ).
fof(f177,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f4,f1]) ).
fof(f181,plain,
( ! [X0] : is_a_theorem(implies(sF1,implies(implies(c,X0),implies(sF0,X0))))
| ~ spl6_3 ),
inference(superposition,[],[f4,f32]) ).
fof(f194,plain,
( ! [X0] : is_a_theorem(implies(implies(sF1,X0),implies(implies(X0,sF4),sF5)))
| ~ spl6_7 ),
inference(superposition,[],[f4,f52]) ).
fof(f195,plain,
( ! [X0] : is_a_theorem(implies(implies(sF2,X0),implies(implies(X0,sF3),sF4)))
| ~ spl6_6 ),
inference(superposition,[],[f4,f47]) ).
fof(f291,plain,
( is_a_theorem(implies(sF1,implies(sF2,implies(sF0,a))))
| ~ spl6_3
| ~ spl6_4 ),
inference(superposition,[],[f181,f37]) ).
fof(f294,definition,
( spl6_37
<=> is_a_theorem(implies(sF1,implies(sF2,implies(sF0,a)))) ),
introduced(definition,[new_symbols(definition,[spl6_37])],[avatar_definition]) ).
fof(f296,plain,
( is_a_theorem(implies(sF1,implies(sF2,implies(sF0,a))))
| ~ spl6_37 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f297,plain,
( spl6_37
| ~ spl6_3
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f291,f35,f30,f294]) ).
fof(f428,plain,
( ! [X0] :
( is_a_theorem(implies(implies(X0,sF4),sF5))
| ~ is_a_theorem(implies(sF1,X0)) )
| ~ spl6_7 ),
inference(resolution,[],[f194,f1]) ).
fof(f441,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f177,f140]) ).
fof(f442,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f177,f1]) ).
fof(f529,plain,
( ! [X0] :
( ~ is_a_theorem(implies(sF1,X0))
| ~ is_a_theorem(implies(X0,sF4))
| is_a_theorem(sF5) )
| ~ spl6_7 ),
inference(resolution,[],[f428,f1]) ).
fof(f531,plain,
( ! [X0] :
( ~ is_a_theorem(implies(sF1,X0))
| ~ is_a_theorem(implies(X0,sF4)) )
| spl6_1
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f529,f22]) ).
fof(f560,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f441,f2]) ).
fof(f562,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f441,f177]) ).
fof(f597,plain,
( ! [X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,sF3),sF4)))
| ~ is_a_theorem(implies(X0,implies(sF2,X1))) )
| ~ spl6_6 ),
inference(resolution,[],[f442,f195]) ).
fof(f614,plain,
( ! [X0] :
( ~ is_a_theorem(implies(X0,a))
| is_a_theorem(implies(X0,sF3)) )
| ~ spl6_11 ),
inference(resolution,[],[f442,f78]) ).
fof(f621,plain,
( ! [X0] :
( is_a_theorem(implies(X0,implies(sF2,implies(sF0,a))))
| ~ is_a_theorem(implies(X0,sF1)) )
| ~ spl6_37 ),
inference(resolution,[],[f442,f296]) ).
fof(f746,plain,
( is_a_theorem(implies(implies(sF0,a),sF3))
| ~ spl6_11
| ~ spl6_28 ),
inference(resolution,[],[f614,f175]) ).
fof(f751,definition,
( spl6_70
<=> is_a_theorem(implies(implies(sF0,a),sF3)) ),
introduced(definition,[new_symbols(definition,[spl6_70])],[avatar_definition]) ).
fof(f753,plain,
( is_a_theorem(implies(implies(sF0,a),sF3))
| ~ spl6_70 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f754,plain,
( spl6_70
| ~ spl6_11
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f746,f173,f76,f751]) ).
fof(f986,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f562,f90]) ).
fof(f1630,plain,
( ! [X0] :
( ~ is_a_theorem(implies(implies(implies(X0,sF3),sF4),sF4))
| ~ is_a_theorem(implies(sF1,implies(sF2,X0))) )
| spl6_1
| ~ spl6_6
| ~ spl6_7 ),
inference(resolution,[],[f597,f531]) ).
fof(f3378,plain,
( ! [X0] :
( ~ is_a_theorem(implies(sF1,implies(sF2,X0)))
| ~ is_a_theorem(implies(X0,sF3)) )
| spl6_1
| ~ spl6_6
| ~ spl6_7 ),
inference(resolution,[],[f986,f1630]) ).
fof(f3438,plain,
( ~ is_a_theorem(implies(implies(sF0,a),sF3))
| ~ is_a_theorem(implies(sF1,sF1))
| spl6_1
| ~ spl6_6
| ~ spl6_7
| ~ spl6_37 ),
inference(resolution,[],[f3378,f621]) ).
fof(f3454,plain,
( ~ is_a_theorem(implies(sF1,sF1))
| spl6_1
| ~ spl6_6
| ~ spl6_7
| ~ spl6_37
| ~ spl6_70 ),
inference(forward_subsumption_resolution,[],[f3438,f753]) ).
fof(f3459,plain,
( $false
| spl6_1
| ~ spl6_6
| ~ spl6_7
| ~ spl6_37
| ~ spl6_70 ),
inference(forward_subsumption_resolution,[],[f3454,f560]) ).
fof(f3460,plain,
( spl6_1
| ~ spl6_6
| ~ spl6_7
| ~ spl6_37
| ~ spl6_70 ),
inference(avatar_contradiction_clause,[],[f3459]) ).
cnf(s1,plain,
~ spl6_1,
inference(sat_conversion,[],[f23]) ).
cnf(s2,plain,
spl6_2,
inference(sat_conversion,[],[f28]) ).
cnf(s3,plain,
spl6_3,
inference(sat_conversion,[],[f33]) ).
cnf(s4,plain,
spl6_4,
inference(sat_conversion,[],[f38]) ).
cnf(s5,plain,
spl6_5,
inference(sat_conversion,[],[f43]) ).
cnf(s6,plain,
spl6_6,
inference(sat_conversion,[],[f48]) ).
cnf(s7,plain,
spl6_7,
inference(sat_conversion,[],[f53]) ).
cnf(s11,plain,
( ~ spl6_5
| spl6_11 ),
inference(sat_conversion,[],[f79]) ).
cnf(s25,plain,
( ~ spl6_2
| spl6_28 ),
inference(sat_conversion,[],[f176]) ).
cnf(s40,plain,
( ~ spl6_3
| ~ spl6_4
| spl6_37 ),
inference(sat_conversion,[],[f297]) ).
cnf(s75,plain,
( ~ spl6_11
| ~ spl6_28
| spl6_70 ),
inference(sat_conversion,[],[f754]) ).
cnf(s281,plain,
( spl6_1
| ~ spl6_6
| ~ spl6_7
| ~ spl6_37
| ~ spl6_70 ),
inference(sat_conversion,[],[f3460]) ).
cnf(s306,plain,
spl6_11,
inference(rat,[],[s11,s5]) ).
cnf(s327,plain,
spl6_37,
inference(rat,[],[s40,s4,s3]) ).
cnf(s340,plain,
spl6_28,
inference(rat,[],[s25,s2]) ).
cnf(s345,plain,
spl6_70,
inference(rat,[],[s75,s306,s340]) ).
cnf(s347,plain,
spl6_1,
inference(rat,[],[s281,s327,s6,s7,s345]) ).
cnf(s348,plain,
$false,
inference(rat,[],[s1,s347]) ).
fof(f3462,plain,
$false,
inference(avatar_sat_refutation,[],[s348]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL080-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 15:20:34 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 2.72/1.30 % (2500824)Input is clausal, will run a generic CNF schedule.
% 2.72/1.30 % (2500842)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=500131433:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 2.72/1.30 % (2500838)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1004037673:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 2.72/1.30 % (2500837)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=1229638891:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 2.72/1.30 % (2500841)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=981252599:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 2.72/1.30 % (2500840)lrs+10_1_sil=8000:sp=occurrence:random_seed=3550067423:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 2.72/1.30 % (2500839)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3662186929:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 2.72/1.30 % (2500842)Instruction limit reached!
% 2.72/1.30 % (2500842)------------------------------
% 2.72/1.30 % (2500842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.30 % (2500842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.30 % (2500842)CaDiCaL version: 2.1.3
% 2.72/1.30 % (2500842)Termination reason: Instruction limit
% 2.72/1.30 % (2500842)Termination phase: Saturation
% 2.72/1.30 % (2500842)Time elapsed: 0.070 s
% 2.72/1.30 % (2500842)Peak memory usage: 89 MB
% 2.72/1.30 % (2500842)Instructions burned: 182 (million)
% 2.72/1.30 % (2500843)dis-21_1_sil=8000:lcm=predicate:random_seed=4112485001:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 2.72/1.30 % (2500840)Instruction limit reached!
% 2.72/1.30 % (2500840)------------------------------
% 2.72/1.30 % (2500840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.30 % (2500840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.30 % (2500840)CaDiCaL version: 2.1.3
% 2.72/1.30 % (2500840)Termination reason: Instruction limit
% 2.72/1.30 % (2500840)Termination phase: Saturation
% 2.72/1.30 % (2500840)Time elapsed: 0.036 s
% 2.72/1.30 % (2500840)Peak memory usage: 88 MB
% 2.72/1.30 % (2500840)Instructions burned: 107 (million)
% 2.72/1.30 % (2500841)Instruction limit reached!
% 2.72/1.30 % (2500841)------------------------------
% 2.72/1.30 % (2500841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.30 % (2500841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.30 % (2500841)CaDiCaL version: 2.1.3
% 2.72/1.30 % (2500841)Termination reason: Instruction limit
% 2.72/1.30 % (2500841)Termination phase: Saturation
% 2.72/1.30 % (2500841)Time elapsed: 0.051 s
% 2.72/1.30 % (2500841)Peak memory usage: 88 MB
% 2.72/1.30 % (2500841)Instructions burned: 116 (million)
% 2.72/1.30 % (2500843)Instruction limit reached!
% 2.72/1.30 % (2500843)------------------------------
% 2.72/1.30 % (2500843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.30 % (2500843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.30 % (2500843)CaDiCaL version: 2.1.3
% 2.72/1.30 % (2500843)Termination reason: Instruction limit
% 2.72/1.30 % (2500843)Termination phase: Saturation
% 2.72/1.30 % (2500843)Time elapsed: 0.041 s
% 2.72/1.30 % (2500843)Peak memory usage: 88 MB
% 2.72/1.30 % (2500843)Instructions burned: 122 (million)
% 2.72/1.30 % (2500857)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=1039548730:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.72/1.30 % (2500857)Refutation not found, incomplete strategy
% 2.72/1.30 % (2500857)------------------------------
% 2.72/1.30 % (2500857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.30 % (2500857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.30 % (2500857)CaDiCaL version: 2.1.3
% 2.72/1.30 % (2500857)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.30 % (2500857)Time elapsed: 0.0000 s
% 2.72/1.30 % (2500857)Peak memory usage: 87 MB
% 2.72/1.30 % (2500859)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2399040781: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)
% 2.72/1.30 % (2500860)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=667917051:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.72/1.30 % (2500860)Refutation not found, incomplete strategy
% 2.72/1.30 % (2500860)------------------------------
% 2.72/1.30 % (2500860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.30 % (2500860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.30 % (2500860)CaDiCaL version: 2.1.3
% 2.72/1.30 % (2500860)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.30 % (2500860)Time elapsed: 0.0000 s
% 2.72/1.30 % (2500860)Peak memory usage: 87 MB
% 2.72/1.30 % (2500861)lrs+10_64_to=lpo:sil=8000:random_seed=2596685585:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 2.72/1.30 % (2500859)Instruction limit reached!
% 2.72/1.30 % (2500859)------------------------------
% 2.72/1.30 % (2500859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.30 % (2500859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.30 % (2500859)CaDiCaL version: 2.1.3
% 2.72/1.30 % (2500859)Termination reason: Instruction limit
% 2.72/1.30 % (2500859)Termination phase: Saturation
% 2.72/1.30 % (2500859)Time elapsed: 0.060 s
% 2.72/1.30 % (2500859)Peak memory usage: 89 MB
% 2.72/1.30 % (2500859)Instructions burned: 190 (million)
% 2.72/1.30 % (2500861)Instruction limit reached!
% 2.72/1.30 % (2500861)------------------------------
% 2.72/1.30 % (2500861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.30 % (2500861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.30 % (2500861)CaDiCaL version: 2.1.3
% 2.72/1.30 % (2500861)Termination reason: Instruction limit
% 2.72/1.30 % (2500861)Termination phase: Saturation
% 2.72/1.30 % (2500861)Time elapsed: 0.041 s
% 2.72/1.30 % (2500861)Peak memory usage: 88 MB
% 2.72/1.30 % (2500861)Instructions burned: 127 (million)
% 2.72/1.30 % (2500857)------------------------------
% 2.72/1.30 % (2500857)------------------------------
% 2.72/1.30 % (2500860)------------------------------
% 2.72/1.30 % (2500860)------------------------------
% 2.72/1.30 % (2500867)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3702670531:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 2.72/1.30 % (2500868)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3180815050:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 2.72/1.30 % (2500868)First to succeed.
% 2.72/1.30 % (2500868)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2500824"
% 2.72/1.30 % (2500867)Instruction limit reached!
% 2.72/1.30 % (2500867)------------------------------
% 2.72/1.30 % (2500867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.30 % (2500867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.30 % (2500867)CaDiCaL version: 2.1.3
% 2.72/1.30 % (2500867)Termination reason: Instruction limit
% 2.72/1.30 % (2500867)Termination phase: Saturation
% 2.72/1.30 % (2500867)Time elapsed: 0.068 s
% 2.72/1.30 % (2500867)Peak memory usage: 89 MB
% 2.72/1.30 % (2500867)Instructions burned: 197 (million)
% 2.72/1.30 % (2500886)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3543237376:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 2.72/1.30 % (2500887)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=1918153315:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 2.72/1.30 % (2500838)Also succeeded, but the first one will report.
% 2.72/1.30 % (2500887)Instruction limit reached!
% 2.72/1.30 % (2500887)------------------------------
% 2.72/1.30 % (2500887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.30 % (2500887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.30 % (2500887)CaDiCaL version: 2.1.3
% 2.72/1.30 % (2500887)Termination reason: Instruction limit
% 2.72/1.30 % (2500887)Termination phase: Saturation
% 2.72/1.30 % (2500887)Time elapsed: 0.029 s
% 2.72/1.30 % (2500887)Peak memory usage: 88 MB
% 2.72/1.30 % (2500887)Instructions burned: 106 (million)
% 2.72/1.30 % (2500922)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1111078660:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 2.72/1.30 % (2500922)Refutation not found, incomplete strategy
% 2.72/1.30 % (2500922)------------------------------
% 2.72/1.30 % (2500922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.30 % (2500922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.30 % (2500922)CaDiCaL version: 2.1.3
% 2.72/1.30 % (2500922)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.30 % (2500922)Time elapsed: 0.0000 s
% 2.72/1.30 % (2500922)Peak memory usage: 87 MB
% 2.72/1.30 % (2500868)Refutation found. Thanks to Tanya!
% 2.72/1.30 % SZS status Unsatisfiable for theBenchmark
% 2.72/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.40 % (2500868)------------------------------
% 2.72/1.40 % (2500868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.40 % (2500868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.40 % (2500868)CaDiCaL version: 2.1.3
% 2.72/1.40 % (2500868)Termination reason: Refutation
% 2.72/1.40 % (2500868)Time elapsed: 0.042 s
% 2.72/1.40 % (2500868)Peak memory usage: 91 MB
% 2.72/1.40 % (2500868)Instructions burned: 109 (million)
% 2.72/1.40 % (2500868)------------------------------
% 2.72/1.40 % (2500868)------------------------------
% 2.72/1.40 % (2500824)Success in time 0.761 s
% 2.72/1.40 % Vampire exiting
%------------------------------------------------------------------------------