%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL118-1 : 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 : n001.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 11:51:16 AM UTC 2026
% Result : Unsatisfiable 2.70s 1.28s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% 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 : 9 ( 4 avg)
% Maximal term depth : 7 ( 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 : 58 ( 0 sgn 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,equivalent(X1,X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wo) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_yqm) ).
fof(f4,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(X2,equivalent(X1,X0))) ),
inference(resolution,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,equivalent(X0,X2))))),
inference(resolution,[],[f4,f2]) ).
fof(f7,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X2,equivalent(X1,equivalent(X0,X2)))) ),
inference(resolution,[],[f5,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X3,equivalent(X2,X1)),X0)))),
inference(resolution,[],[f7,f2]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,equivalent(X3,X1))),equivalent(equivalent(X3,X2),X0)))),
inference(resolution,[],[f7,f5]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),equivalent(equivalent(X2,equivalent(X1,X0)),X3))),
inference(resolution,[],[f8,f4]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X3,equivalent(X2,X1)),X4)),equivalent(X4,X0)))),
inference(resolution,[],[f8,f7]) ).
fof(f15,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,X1))),equivalent(equivalent(X3,X2),X0)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f9,f1]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,equivalent(X1,X0)),X3))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X3)) ),
inference(resolution,[],[f10,f1]) ).
fof(f30,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(equivalent(X4,equivalent(X3,equivalent(X2,equivalent(X1,X0)))))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X4))) ),
inference(resolution,[],[f18,f4]) ).
fof(f31,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,equivalent(X3,X4)),equivalent(equivalent(X4,equivalent(X3,X2)),X0)),X1))),
inference(resolution,[],[f11,f4]) ).
fof(f196,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(equivalent(X3,equivalent(X2,equivalent(X1,X0))))
| ~ is_a_theorem(X4)
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X4))) ),
inference(resolution,[],[f30,f1]) ).
fof(f1328,definition,
( spl0_43
<=> ! [X3] : ~ is_a_theorem(X3) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f1329,plain,
( ! [X3] : ~ is_a_theorem(X3)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f1582,definition,
( spl0_54
<=> is_a_theorem(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b)))) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f1583,plain,
( is_a_theorem(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))))
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f1584,plain,
( ~ is_a_theorem(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))))
| spl0_54 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f1734,plain,
( ! [X0] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),X0))) )
| spl0_54 ),
inference(resolution,[],[f1584,f196]) ).
fof(f1743,plain,
( ! [X0] : ~ is_a_theorem(X0)
| spl0_54 ),
inference(forward_subsumption_resolution,[],[f1734,f15]) ).
fof(f1745,plain,
( spl0_43
| spl0_54 ),
inference(avatar_split_clause,[],[f1743,f1582,f1328]) ).
fof(f1759,plain,
( $false
| ~ spl0_43 ),
inference(resolution,[],[f1329,f31]) ).
fof(f1854,plain,
~ spl0_43,
inference(avatar_contradiction_clause,[],[f1759]) ).
fof(f1874,plain,
( is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))
| ~ spl0_54 ),
inference(resolution,[],[f1583,f4]) ).
fof(f1877,plain,
( $false
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f1874,f3]) ).
fof(f1878,plain,
~ spl0_54,
inference(avatar_contradiction_clause,[],[f1877]) ).
cnf(s121,plain,
( spl0_43
| spl0_54 ),
inference(sat_conversion,[],[f1745]) ).
cnf(s145,plain,
~ spl0_43,
inference(sat_conversion,[],[f1854]) ).
cnf(s147,plain,
~ spl0_54,
inference(sat_conversion,[],[f1878]) ).
cnf(s148,plain,
$false,
inference(rat,[],[s121,s147,s145]) ).
fof(f1879,plain,
$false,
inference(avatar_sat_refutation,[],[s148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL118-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 15:28:45 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 2.70/1.28 % (3708468)Input is clausal, will run a generic CNF schedule.
% 2.70/1.28 % (3708558)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3731026581:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.70/1.28 % (3708558)First to succeed.
% 2.70/1.28 % (3708558)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3708468"
% 2.70/1.28 % (3708553)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=660211846:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.70/1.28 % (3708555)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1195516211:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.70/1.28 % (3708551)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=5682885:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.70/1.28 % (3708556)lrs+10_1_sil=8000:sp=occurrence:random_seed=1532192144:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.70/1.28 % (3708557)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2907784779:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.70/1.28 % (3708559)dis-21_1_sil=8000:lcm=predicate:random_seed=3276310583: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)
% 2.70/1.28 % (3708556)Instruction limit reached!
% 2.70/1.28 % (3708556)------------------------------
% 2.70/1.28 % (3708556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.28 % (3708556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.28 % (3708556)CaDiCaL version: 2.1.3
% 2.70/1.28 % (3708556)Termination reason: Instruction limit
% 2.70/1.28 % (3708556)Termination phase: Saturation
% 2.70/1.28 % (3708556)Time elapsed: 0.066 s
% 2.70/1.28 % (3708556)Peak memory usage: 88 MB
% 2.70/1.28 % (3708556)Instructions burned: 107 (million)
% 2.70/1.28 % (3708559)Instruction limit reached!
% 2.70/1.28 % (3708559)------------------------------
% 2.70/1.28 % (3708559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.28 % (3708559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.28 % (3708559)CaDiCaL version: 2.1.3
% 2.70/1.28 % (3708559)Termination reason: Instruction limit
% 2.70/1.28 % (3708559)Termination phase: Saturation
% 2.70/1.28 % (3708559)Time elapsed: 0.071 s
% 2.70/1.28 % (3708559)Peak memory usage: 88 MB
% 2.70/1.28 % (3708559)Instructions burned: 117 (million)
% 2.70/1.28 % (3708557)Instruction limit reached!
% 2.70/1.28 % (3708557)------------------------------
% 2.70/1.28 % (3708557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.28 % (3708557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.28 % (3708557)CaDiCaL version: 2.1.3
% 2.70/1.28 % (3708557)Termination reason: Instruction limit
% 2.70/1.28 % (3708557)Termination phase: Saturation
% 2.70/1.28 % (3708557)Time elapsed: 0.122 s
% 2.70/1.28 % (3708557)Peak memory usage: 88 MB
% 2.70/1.28 % (3708557)Instructions burned: 114 (million)
% 2.70/1.28 % (3708558)Refutation found. Thanks to Tanya!
% 2.70/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.70/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/1.28 % (3708558)------------------------------
% 2.70/1.28 % (3708558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.28 % (3708558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.28 % (3708558)CaDiCaL version: 2.1.3
% 2.70/1.28 % (3708558)Termination reason: Refutation
% 2.70/1.28 % (3708558)Time elapsed: 0.029 s
% 2.70/1.28 % (3708558)Peak memory usage: 90 MB
% 2.70/1.28 % (3708558)Instructions burned: 76 (million)
% 2.70/1.28 % (3708558)------------------------------
% 2.70/1.28 % (3708558)------------------------------
% 2.70/1.28 % (3708468)Success in time 0.316 s
% 2.70/1.28 % Vampire exiting
%------------------------------------------------------------------------------