%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL077-2 : 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 : n006.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 11:51:07 AM UTC 2026
% Result : Unsatisfiable 0.23s 1.91s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 15 unt; 2 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 21 ~; 16 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 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/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',cn_18) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_49) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_39) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),not(X2))))
| is_a_theorem(implies(X0,implies(X2,X1))) ),
inference(resolution,[],[f5,f4]) ).
fof(f15,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f3,f1]) ).
fof(f30,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f12,f2]) ).
fof(f31,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(not(X0)),not(not(X1))),implies(X0,X1))),
inference(resolution,[],[f12,f4]) ).
fof(f36,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(resolution,[],[f15,f5]) ).
fof(f40,plain,
! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(X1,X0))),
inference(resolution,[],[f30,f12]) ).
fof(f124,definition,
( spl0_3
<=> ! [X1] : ~ is_a_theorem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f125,plain,
( ! [X1] : ~ is_a_theorem(X1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(resolution,[],[f36,f2]) ).
fof(f348,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f125,f31]) ).
fof(f371,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f421,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(not(X1)),X1))),
inference(resolution,[],[f156,f40]) ).
fof(f478,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(not(X1)),X1)) ),
inference(resolution,[],[f421,f1]) ).
fof(f492,definition,
( spl0_16
<=> ! [X1] : is_a_theorem(implies(not(not(X1)),X1)) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f493,plain,
( ! [X1] : is_a_theorem(implies(not(not(X1)),X1))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f494,plain,
( spl0_16
| spl0_3 ),
inference(avatar_split_clause,[],[f478,f124,f492]) ).
fof(f505,plain,
( $false
| ~ spl0_16 ),
inference(resolution,[],[f493,f6]) ).
fof(f526,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f505]) ).
cnf(s27,plain,
~ spl0_3,
inference(sat_conversion,[],[f371]) ).
cnf(s30,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f494]) ).
cnf(s32,plain,
~ spl0_16,
inference(sat_conversion,[],[f526]) ).
cnf(s33,plain,
spl0_3,
inference(rat,[],[s30,s32]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s27,s33]) ).
fof(f527,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL077-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.41 % Computer : n006.cluster.edu
% 0.17/0.41 % Model : x86_64 x86_64
% 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41 % Memory : 8046.5625MB
% 0.17/0.41 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 27 15:20:40 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.47 Running first-order theorem proving
% 0.23/0.47 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
% 0.23/1.91 % (3088270)Input is clausal, will run a generic CNF schedule.
% 0.23/1.91 % (3088276)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2525696541:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.23/1.91 % (3088277)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2957300933:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.23/1.91 % (3088278)lrs+10_1_sil=8000:sp=occurrence:random_seed=1216663301:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.23/1.91 % (3088280)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=825824372:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.23/1.91 % (3088275)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=1655827075:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.23/1.91 % (3088278)First to succeed.
% 0.23/1.91 % (3088278)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3088270"
% 0.23/1.91 % (3088281)dis-21_1_sil=8000:lcm=predicate:random_seed=2858064508: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)
% 0.23/1.91 % (3088279)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=117182424:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.23/1.91 % (3088279)Also succeeded, but the first one will report.
% 0.23/1.91 % (3088280)Instruction limit reached!
% 0.23/1.91 % (3088280)------------------------------
% 0.23/1.91 % (3088280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/1.91 % (3088280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/1.91 % (3088280)CaDiCaL version: 2.1.3
% 0.23/1.91 % (3088280)Termination reason: Instruction limit
% 0.23/1.91 % (3088280)Termination phase: Saturation
% 0.23/1.91 % (3088280)Time elapsed: 0.118 s
% 0.23/1.91 % (3088280)Peak memory usage: 87 MB
% 0.23/1.91 % (3088280)Instructions burned: 180 (million)
% 0.23/1.91 % (3088281)Instruction limit reached!
% 0.23/1.91 % (3088281)------------------------------
% 0.23/1.91 % (3088281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/1.91 % (3088281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/1.91 % (3088281)CaDiCaL version: 2.1.3
% 0.23/1.91 % (3088281)Termination reason: Instruction limit
% 0.23/1.91 % (3088281)Termination phase: Saturation
% 0.23/1.91 % (3088281)Time elapsed: 0.111 s
% 0.23/1.91 % (3088281)Peak memory usage: 88 MB
% 0.23/1.91 % (3088281)Instructions burned: 117 (million)
% 0.23/1.91 % (3088289)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=2063205235:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 0.23/1.91 % (3088289)Refutation not found, incomplete strategy
% 0.23/1.91 % (3088289)------------------------------
% 0.23/1.91 % (3088289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/1.91 % (3088289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/1.91 % (3088289)CaDiCaL version: 2.1.3
% 0.23/1.91 % (3088289)Termination reason: Refutation not found, incomplete strategy
% 0.23/1.91 % (3088289)Time elapsed: 0.001 s
% 0.23/1.91 % (3088289)Peak memory usage: 87 MB
% 0.23/1.91 % (3088278)Refutation found. Thanks to Tanya!
% 0.23/1.91 % SZS status Unsatisfiable for theBenchmark
% 0.23/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/1.91 % (3088278)------------------------------
% 0.23/1.91 % (3088278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/1.91 % (3088278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/1.91 % (3088278)CaDiCaL version: 2.1.3
% 0.23/1.91 % (3088278)Termination reason: Refutation
% 0.23/1.91 % (3088278)Time elapsed: 0.019 s
% 0.23/1.91 % (3088278)Peak memory usage: 89 MB
% 0.23/1.91 % (3088278)Instructions burned: 15 (million)
% 0.23/1.91 % (3088278)------------------------------
% 0.23/1.91 % (3088278)------------------------------
% 0.23/1.91 % (3088270)Success in time 0.701 s
% 0.23/1.91 % Vampire exiting
%------------------------------------------------------------------------------