%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL112-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 11:51:14 AM UTC 2026
% Result : Unsatisfiable 3.87s 1.73s
% Output : Refutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 14 unt; 2 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 25 ~; 20 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_1) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_3) ).
fof(f5,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_5) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(a,not(not(a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_29) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f2]) ).
fof(f8,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f5,f1]) ).
fof(f11,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f3,f1]) ).
fof(f12,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X1))
| is_a_theorem(implies(implies(X1,X0),X0)) ),
inference(resolution,[],[f4,f1]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f11,f1]) ).
fof(f26,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f12,f7]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),not(X2))))
| is_a_theorem(implies(X0,implies(X2,X1))) ),
inference(resolution,[],[f14,f5]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f14,f26]) ).
fof(f87,definition,
( spl0_5
<=> ! [X1] : ~ is_a_theorem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f88,plain,
( ! [X1] : ~ is_a_theorem(X1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f93,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f88,f2]) ).
fof(f107,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f93]) ).
fof(f108,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f30,f2]) ).
fof(f131,plain,
! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(X1,X0))),
inference(resolution,[],[f108,f30]) ).
fof(f179,plain,
! [X0,X1] :
( is_a_theorem(implies(not(not(X0)),X0))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f131,f36]) ).
fof(f187,definition,
( spl0_7
<=> ! [X0] : is_a_theorem(implies(not(not(X0)),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f188,plain,
( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f189,plain,
( spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f179,f187,f87]) ).
fof(f199,plain,
( ! [X0] : is_a_theorem(implies(X0,not(not(X0))))
| ~ spl0_7 ),
inference(resolution,[],[f188,f8]) ).
fof(f213,plain,
( $false
| ~ spl0_7 ),
inference(resolution,[],[f199,f6]) ).
fof(f214,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f213]) ).
cnf(s7,plain,
~ spl0_5,
inference(sat_conversion,[],[f107]) ).
cnf(s8,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f189]) ).
cnf(s9,plain,
~ spl0_7,
inference(sat_conversion,[],[f214]) ).
cnf(s10,plain,
spl0_5,
inference(rat,[],[s8,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s7,s10]) ).
fof(f215,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL112-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 15:24:38 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.87/1.73 % (2503264)Input is clausal, will run a generic CNF schedule.
% 3.87/1.73 % (2503280)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1976967231:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.87/1.73 % (2503278)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=2771927125:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.87/1.73 % (2503279)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2117833307:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.87/1.73 % (2503281)lrs+10_1_sil=8000:sp=occurrence:random_seed=521693994:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.87/1.73 % (2503284)dis-21_1_sil=8000:lcm=predicate:random_seed=1226431706: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)
% 3.87/1.73 % (2503283)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3038683777:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.87/1.73 % (2503282)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1636977100:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.87/1.73 % (2503281)First to succeed.
% 3.87/1.73 % (2503281)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2503264"
% 3.87/1.73 % (2503284)Instruction limit reached!
% 3.87/1.73 % (2503284)------------------------------
% 3.87/1.73 % (2503284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.73 % (2503284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.73 % (2503284)CaDiCaL version: 2.1.3
% 3.87/1.73 % (2503284)Termination reason: Instruction limit
% 3.87/1.73 % (2503284)Termination phase: Saturation
% 3.87/1.73 % (2503284)Time elapsed: 0.074 s
% 3.87/1.73 % (2503284)Peak memory usage: 88 MB
% 3.87/1.73 % (2503284)Instructions burned: 118 (million)
% 3.87/1.73 % (2503282)Instruction limit reached!
% 3.87/1.73 % (2503282)------------------------------
% 3.87/1.73 % (2503282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.73 % (2503282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.73 % (2503282)CaDiCaL version: 2.1.3
% 3.87/1.73 % (2503282)Termination reason: Instruction limit
% 3.87/1.73 % (2503282)Termination phase: Saturation
% 3.87/1.73 % (2503282)Time elapsed: 0.113 s
% 3.87/1.73 % (2503282)Peak memory usage: 87 MB
% 3.87/1.73 % (2503282)Instructions burned: 114 (million)
% 3.87/1.73 % (2503283)Instruction limit reached!
% 3.87/1.73 % (2503283)------------------------------
% 3.87/1.73 % (2503283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.73 % (2503283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.73 % (2503283)CaDiCaL version: 2.1.3
% 3.87/1.73 % (2503283)Termination reason: Instruction limit
% 3.87/1.73 % (2503283)Termination phase: Saturation
% 3.87/1.73 % (2503283)Time elapsed: 0.119 s
% 3.87/1.73 % (2503283)Peak memory usage: 89 MB
% 3.87/1.73 % (2503283)Instructions burned: 181 (million)
% 3.87/1.73 % (2503292)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=2777082271:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.87/1.73 % (2503292)Refutation not found, incomplete strategy
% 3.87/1.73 % (2503292)------------------------------
% 3.87/1.73 % (2503292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.73 % (2503292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.73 % (2503292)CaDiCaL version: 2.1.3
% 3.87/1.73 % (2503292)Termination reason: Refutation not found, incomplete strategy
% 3.87/1.73 % (2503292)Time elapsed: 0.001 s
% 3.87/1.73 % (2503292)Peak memory usage: 87 MB
% 3.87/1.73 % (2503281)Refutation found. Thanks to Tanya!
% 3.87/1.73 % SZS status Unsatisfiable for theBenchmark
% 3.87/1.73 % SZS output start Proof for theBenchmark
% See solution above
% 3.87/1.73 % (2503281)------------------------------
% 3.87/1.73 % (2503281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.73 % (2503281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.73 % (2503281)CaDiCaL version: 2.1.3
% 3.87/1.73 % (2503281)Termination reason: Refutation
% 3.87/1.73 % (2503281)Time elapsed: 0.006 s
% 3.87/1.73 % (2503281)Peak memory usage: 89 MB
% 3.87/1.73 % (2503281)Instructions burned: 7 (million)
% 3.87/1.73 % (2503281)------------------------------
% 3.87/1.73 % (2503281)------------------------------
% 3.87/1.73 % (2503264)Success in time 0.423 s
% 3.87/1.73 % Vampire exiting
%------------------------------------------------------------------------------