%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL110-1 : 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 : n003.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 3.43s 1.35s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 14 unt; 2 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 23 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 39 ( 0 sgn 39 !; 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',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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mv_5) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_24) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f2]) ).
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(f180,plain,
! [X0,X1] :
( is_a_theorem(implies(not(not(X0)),X0))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f131,f36]) ).
fof(f188,definition,
( spl0_7
<=> ! [X0] : is_a_theorem(implies(not(not(X0)),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f189,plain,
( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f190,plain,
( spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f180,f188,f87]) ).
fof(f191,plain,
( $false
| ~ spl0_7 ),
inference(resolution,[],[f189,f6]) ).
fof(f201,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f191]) ).
cnf(s7,plain,
~ spl0_5,
inference(sat_conversion,[],[f107]) ).
cnf(s8,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f190]) ).
cnf(s9,plain,
~ spl0_7,
inference(sat_conversion,[],[f201]) ).
cnf(s10,plain,
spl0_5,
inference(rat,[],[s8,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s7,s10]) ).
fof(f202,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL110-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 15:24:26 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 3.43/1.35 % (697788)Input is clausal, will run a generic CNF schedule.
% 3.43/1.35 % (697841)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2794731259:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.43/1.35 % (697846)dis-21_1_sil=8000:lcm=predicate:random_seed=3248476036: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)
% 3.43/1.35 % (697842)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3350656247:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.43/1.35 % (697845)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3518161163:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.43/1.35 % (697843)lrs+10_1_sil=8000:sp=occurrence:random_seed=3501060705:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.43/1.35 % (697844)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4223859053:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.43/1.35 % (697840)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=1335930977:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.43/1.35 % (697843)First to succeed.
% 3.43/1.35 % (697843)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-697788"
% 3.43/1.35 % (697844)Also succeeded, but the first one will report.
% 3.43/1.35 % (697846)Instruction limit reached!
% 3.43/1.35 % (697846)------------------------------
% 3.43/1.35 % (697846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.35 % (697846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.35 % (697846)CaDiCaL version: 2.1.3
% 3.43/1.35 % (697846)Termination reason: Instruction limit
% 3.43/1.35 % (697846)Termination phase: Saturation
% 3.43/1.35 % (697846)Time elapsed: 0.074 s
% 3.43/1.35 % (697846)Peak memory usage: 88 MB
% 3.43/1.35 % (697846)Instructions burned: 118 (million)
% 3.43/1.35 % (697845)Instruction limit reached!
% 3.43/1.35 % (697845)------------------------------
% 3.43/1.35 % (697845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.35 % (697845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.35 % (697845)CaDiCaL version: 2.1.3
% 3.43/1.35 % (697845)Termination reason: Instruction limit
% 3.43/1.35 % (697845)Termination phase: Saturation
% 3.43/1.35 % (697845)Time elapsed: 0.124 s
% 3.43/1.35 % (697845)Peak memory usage: 89 MB
% 3.43/1.35 % (697845)Instructions burned: 181 (million)
% 3.43/1.35 % (697854)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=1173460414:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.43/1.35 % (697854)Refutation not found, incomplete strategy
% 3.43/1.35 % (697854)------------------------------
% 3.43/1.35 % (697854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.35 % (697854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.35 % (697854)CaDiCaL version: 2.1.3
% 3.43/1.35 % (697854)Termination reason: Refutation not found, incomplete strategy
% 3.43/1.35 % (697854)Time elapsed: 0.001 s
% 3.43/1.35 % (697854)Peak memory usage: 87 MB
% 3.43/1.35 % (697843)Refutation found. Thanks to Tanya!
% 3.43/1.35 % SZS status Unsatisfiable for theBenchmark
% 3.43/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.43/1.35 % (697843)------------------------------
% 3.43/1.35 % (697843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.35 % (697843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.35 % (697843)CaDiCaL version: 2.1.3
% 3.43/1.35 % (697843)Termination reason: Refutation
% 3.43/1.35 % (697843)Time elapsed: 0.006 s
% 3.43/1.35 % (697843)Peak memory usage: 89 MB
% 3.43/1.35 % (697843)Instructions burned: 6 (million)
% 3.43/1.35 % (697843)------------------------------
% 3.43/1.35 % (697843)------------------------------
% 3.43/1.35 % (697788)Success in time 0.409 s
% 3.43/1.35 % Vampire exiting
%------------------------------------------------------------------------------