%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL033-1 : 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 11:50:59 AM UTC 2026
% Result : Unsatisfiable 3.25s 1.21s
% Output : Refutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 15 unt; 2 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 12 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 52 !; 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,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_CAMeredith) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(a,implies(b,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c0_2) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4))
| is_a_theorem(implies(implies(X4,X0),implies(X2,X0))) ),
inference(resolution,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(resolution,[],[f4,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),implies(X3,X2))),
inference(resolution,[],[f5,f4]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))
| is_a_theorem(implies(X4,implies(X1,X3))) ),
inference(resolution,[],[f5,f1]) ).
fof(f8,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(falsehood,X2))),
inference(resolution,[],[f6,f4]) ).
fof(f9,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(falsehood,X1)),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(resolution,[],[f6,f1]) ).
fof(f10,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))),
inference(resolution,[],[f8,f4]) ).
fof(f22,definition,
( spl0_2
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f23,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f25,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(falsehood,X1),X2),implies(X3,X2)))),
inference(resolution,[],[f9,f2]) ).
fof(f36,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f25,f23]) ).
fof(f37,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f36]) ).
fof(f79,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f10,f7]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X1))) ),
inference(resolution,[],[f79,f1]) ).
fof(f100,definition,
( spl0_8
<=> ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f101,plain,
( ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f102,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f94,f22,f100]) ).
fof(f107,plain,
( $false
| ~ spl0_8 ),
inference(resolution,[],[f101,f3]) ).
fof(f113,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f107]) ).
cnf(s5,plain,
~ spl0_2,
inference(sat_conversion,[],[f37]) ).
cnf(s10,plain,
( spl0_2
| spl0_8 ),
inference(sat_conversion,[],[f102]) ).
cnf(s11,plain,
~ spl0_8,
inference(sat_conversion,[],[f113]) ).
cnf(s12,plain,
spl0_2,
inference(rat,[],[s10,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s5,s12]) ).
fof(f114,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL033-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:19:57 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.25/1.21 % (687393)Input is clausal, will run a generic CNF schedule.
% 3.25/1.21 % (687403)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1610707460:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.25/1.21 % (687402)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1222355208:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.25/1.21 % (687404)dis-21_1_sil=8000:lcm=predicate:random_seed=2654224960: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)
% 3.25/1.21 % (687401)lrs+10_1_sil=8000:sp=occurrence:random_seed=1497339381:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.25/1.21 % (687399)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1218326913:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.25/1.21 % (687400)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2230037971:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.25/1.21 % (687398)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=1813609604:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.25/1.21 % (687402)Refutation not found, incomplete strategy
% 3.25/1.21 % (687402)------------------------------
% 3.25/1.21 % (687402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.21 % (687402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.21 % (687402)CaDiCaL version: 2.1.3
% 3.25/1.21 % (687402)Termination reason: Refutation not found, incomplete strategy
% 3.25/1.21 % (687402)Time elapsed: 0.001 s
% 3.25/1.21 % (687402)Peak memory usage: 87 MB
% 3.25/1.21 % (687401)First to succeed.
% 3.25/1.21 % (687401)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-687393"
% 3.25/1.21 % (687404)Also succeeded, but the first one will report.
% 3.25/1.21 % (687403)Instruction limit reached!
% 3.25/1.21 % (687403)------------------------------
% 3.25/1.21 % (687403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.21 % (687403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.21 % (687403)CaDiCaL version: 2.1.3
% 3.25/1.21 % (687403)Termination reason: Instruction limit
% 3.25/1.21 % (687403)Termination phase: Saturation
% 3.25/1.21 % (687403)Time elapsed: 0.122 s
% 3.25/1.21 % (687403)Peak memory usage: 89 MB
% 3.25/1.21 % (687403)Instructions burned: 180 (million)
% 3.25/1.21 % (687412)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=203595180:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.25/1.21 % (687412)Refutation not found, incomplete strategy
% 3.25/1.21 % (687412)------------------------------
% 3.25/1.21 % (687412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.21 % (687412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.21 % (687412)CaDiCaL version: 2.1.3
% 3.25/1.21 % (687412)Termination reason: Refutation not found, incomplete strategy
% 3.25/1.21 % (687412)Time elapsed: 0.0000 s
% 3.25/1.21 % (687412)Peak memory usage: 87 MB
% 3.25/1.21 % (687402)------------------------------
% 3.25/1.21 % (687402)------------------------------
% 3.25/1.21 % (687401)Refutation found. Thanks to Tanya!
% 3.25/1.21 % SZS status Unsatisfiable for theBenchmark
% 3.25/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 3.25/1.21 % (687401)------------------------------
% 3.25/1.21 % (687401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.21 % (687401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.21 % (687401)CaDiCaL version: 2.1.3
% 3.25/1.21 % (687401)Termination reason: Refutation
% 3.25/1.21 % (687401)Time elapsed: 0.003 s
% 3.25/1.21 % (687401)Peak memory usage: 89 MB
% 3.25/1.21 % (687401)Instructions burned: 3 (million)
% 3.25/1.21 % (687401)------------------------------
% 3.25/1.21 % (687401)------------------------------
% 3.25/1.21 % (687393)Success in time 0.395 s
% 3.25/1.21 % Vampire exiting
%------------------------------------------------------------------------------