%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL010-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 11:57:25 AM UTC 2026
% Result : Unsatisfiable 0.42s 0.54s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yqf) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_yql) ).
fof(f4,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X2,X1))),X3))
| is_a_theorem(X3) ),
inference(resolution,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X2,equivalent(equivalent(X0,X3),equivalent(X3,X1))))),
inference(resolution,[],[f4,f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X2,equivalent(equivalent(X0,X3),equivalent(X3,X1)))),X4))
| is_a_theorem(X4) ),
inference(resolution,[],[f5,f1]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X2,X3))),equivalent(equivalent(equivalent(X1,X3),X4),equivalent(X4,X0)))),
inference(resolution,[],[f7,f5]) ).
fof(f28,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X2,equivalent(X0,X1)))),
inference(resolution,[],[f13,f4]) ).
fof(f33,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X2,X3))),equivalent(equivalent(X1,X3),X0))),
inference(resolution,[],[f28,f7]) ).
fof(f35,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X2,equivalent(X0,X1))),X3))
| is_a_theorem(X3) ),
inference(resolution,[],[f28,f1]) ).
fof(f346,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2)))),
inference(resolution,[],[f35,f33]) ).
fof(f423,plain,
$false,
inference(resolution,[],[f346,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL010-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 15:19:09 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.54 % (2495081)Will run a generic schedule for satisfiability detection.
% 0.42/0.54 % (2495090)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=961793649:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.42/0.54 % (2495087)% WARNING: option uhcvi not known.
% 0.42/0.54 % (2495086)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4123182653_2999 on theBenchmark for (2999ds/0Mi)
% 0.42/0.54 % (2495091)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2254351782:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.42/0.54 % (2495088)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1183675929:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.42/0.54 % (2495089)dis+10_1_sil=32000:sp=arity:random_seed=3043608651:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.42/0.54 % (2495092)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=751130532:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.42/0.54 % (2495087)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3610226902:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.42/0.54 % TRYING [1]
% 0.42/0.54 % TRYING [2]
% 0.42/0.54 % TRYING [3]
% 0.42/0.54 % TRYING [4]
% 0.42/0.54 % (2495090)Instruction limit reached!
% 0.42/0.54 % (2495090)------------------------------
% 0.42/0.54 % (2495090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.54 % (2495090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.54 % (2495090)CaDiCaL version: 2.1.3
% 0.42/0.54 % (2495090)Termination reason: Instruction limit
% 0.42/0.54 % (2495090)Termination phase: Saturation
% 0.42/0.54 % (2495090)Time elapsed: 0.034 s
% 0.42/0.54 % (2495090)Peak memory usage: 11 MB
% 0.42/0.54 % (2495090)Instructions burned: 118 (million)
% 0.42/0.54 % (2495100)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=750192463:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.42/0.54 % TRYING [1]
% 0.42/0.54 % TRYING [2]
% 0.42/0.54 % TRYING [3]
% 0.42/0.54 % TRYING [4]
% 0.42/0.54 % (2495089)Instruction limit reached!
% 0.42/0.54 % (2495089)------------------------------
% 0.42/0.54 % (2495089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.54 % (2495089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.54 % (2495089)CaDiCaL version: 2.1.3
% 0.42/0.54 % (2495089)Termination reason: Instruction limit
% 0.42/0.54 % (2495089)Termination phase: Saturation
% 0.42/0.54 % (2495089)Time elapsed: 0.064 s
% 0.42/0.54 % (2495089)Peak memory usage: 11 MB
% 0.42/0.54 % (2495089)Instructions burned: 103 (million)
% 0.42/0.54 % (2495102)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1622767211:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.42/0.54 % (2495091)Instruction limit reached!
% 0.42/0.54 % (2495091)------------------------------
% 0.42/0.54 % (2495091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.54 % (2495091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.54 % (2495091)CaDiCaL version: 2.1.3
% 0.42/0.54 % (2495091)Termination reason: Instruction limit
% 0.42/0.54 % (2495091)Termination phase: Saturation
% 0.42/0.54 % (2495091)Time elapsed: 0.088 s
% 0.42/0.54 % (2495091)Peak memory usage: 13 MB
% 0.42/0.54 % (2495091)Instructions burned: 132 (million)
% 0.42/0.54 % (2495102) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2495081-2495102"...
% 0.42/0.54 % (2495102)...printing done.
% 0.42/0.54 % (2495102)Refutation found. Thanks to Tanya!
% 0.42/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.42/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.42/0.54 % (2495102)------------------------------
% 0.42/0.54 % (2495102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.54 % (2495102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.54 % (2495102)CaDiCaL version: 2.1.3
% 0.42/0.54 % (2495102)Termination reason: Refutation
% 0.42/0.54 % (2495102)Time elapsed: 0.011 s
% 0.42/0.54 % (2495102)Peak memory usage: 11 MB
% 0.42/0.54 % (2495102)Instructions burned: 16 (million)
% 0.42/0.54 % (2495081)Success in time 0.128 s
% 0.42/0.54 % Vampire exiting
%------------------------------------------------------------------------------