%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL102-1 : 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 : n008.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 11:57:39 AM UTC 2026
% Result : Unsatisfiable 7.46s 1.65s
% Output : Refutation 7.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(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] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_2) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_1) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_2) ).
fof(f5,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p_1) ).
fof(f7,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1))) ),
inference(resolution,[],[f4,f1]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X1))))),
inference(resolution,[],[f7,f3]) ).
fof(f11,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X3,X1),equivalent(X3,X2))))),
inference(resolution,[],[f7,f4]) ).
fof(f13,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3))
| is_a_theorem(X3) ),
inference(resolution,[],[f2,f1]) ).
fof(f15,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3)))),
inference(resolution,[],[f13,f4]) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))))
| is_a_theorem(equivalent(X0,equivalent(X2,X3))) ),
inference(resolution,[],[f15,f1]) ).
fof(f53,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(X2,equivalent(equivalent(X1,X0),X3)))),
inference(resolution,[],[f27,f10]) ).
fof(f54,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,X3)),equivalent(X2,equivalent(X0,X3)))),
inference(resolution,[],[f27,f11]) ).
fof(f233,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3))
| is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X0),X3))) ),
inference(resolution,[],[f53,f1]) ).
fof(f243,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,X3)))
| is_a_theorem(equivalent(X2,equivalent(X0,X3))) ),
inference(resolution,[],[f54,f1]) ).
fof(f400,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X3,X0),equivalent(X3,X1)),X2))),
inference(resolution,[],[f243,f2]) ).
fof(f563,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3)),equivalent(equivalent(X2,X1),X3))),
inference(resolution,[],[f400,f27]) ).
fof(f2310,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))),
inference(resolution,[],[f563,f233]) ).
fof(f2345,plain,
$false,
inference(backward_subsumption_resolution,[],[f5,f2310]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL102-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 % Computer : n008.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 15:22:09 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.46 Running first-order model finding
% 0.14/0.47 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
% 7.46/1.64 % (1367743)Will run a generic schedule for satisfiability detection.
% 7.46/1.64 % (1367751)dis+10_1_sil=32000:sp=arity:random_seed=1384119980:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.46/1.64 % (1367748)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1804486263_2999 on theBenchmark for (2999ds/0Mi)
% 7.46/1.64 % TRYING [1]
% 7.46/1.64 % TRYING [2]
% 7.46/1.64 % TRYING [3]
% 7.46/1.64 % (1367749)% WARNING: option uhcvi not known.
% 7.46/1.64 % (1367752)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1836310593:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.46/1.64 % (1367750)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3387971866:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.46/1.64 % (1367749)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4103214206:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.46/1.64 % (1367754)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=496485224:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.46/1.64 % (1367753)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2773534249:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.46/1.64 % TRYING [4]
% 7.46/1.64 % (1367751)Instruction limit reached!
% 7.46/1.64 % (1367751)------------------------------
% 7.46/1.64 % (1367751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.64 % (1367751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.64 % (1367751)CaDiCaL version: 2.1.3
% 7.46/1.64 % (1367751)Termination reason: Instruction limit
% 7.46/1.64 % (1367751)Termination phase: Saturation
% 7.46/1.64 % (1367751)Time elapsed: 0.053 s
% 7.46/1.64 % (1367751)Peak memory usage: 11 MB
% 7.46/1.64 % (1367751)Instructions burned: 104 (million)
% 7.46/1.64 % (1367762)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1167513121:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.46/1.64 % TRYING [1]
% 7.46/1.64 % TRYING [2]
% 7.46/1.64 % TRYING [3]
% 7.46/1.64 % TRYING [4]
% 7.46/1.64 % (1367752)Instruction limit reached!
% 7.46/1.64 % (1367752)------------------------------
% 7.46/1.64 % (1367752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.64 % (1367752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.64 % (1367752)CaDiCaL version: 2.1.3
% 7.46/1.64 % (1367752)Termination reason: Instruction limit
% 7.46/1.64 % (1367752)Termination phase: Saturation
% 7.46/1.64 % (1367752)Time elapsed: 0.115 s
% 7.46/1.64 % (1367752)Peak memory usage: 11 MB
% 7.46/1.64 % (1367752)Instructions burned: 116 (million)
% 7.46/1.64 % (1367753)Instruction limit reached!
% 7.46/1.64 % (1367753)------------------------------
% 7.46/1.64 % (1367753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.64 % (1367753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.64 % (1367753)CaDiCaL version: 2.1.3
% 7.46/1.64 % (1367753)Termination reason: Instruction limit
% 7.46/1.64 % (1367753)Termination phase: Saturation
% 7.46/1.64 % (1367753)Time elapsed: 0.129 s
% 7.46/1.64 % (1367753)Peak memory usage: 12 MB
% 7.46/1.64 % (1367753)Instructions burned: 131 (million)
% 7.46/1.64 % (1367764)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1618206491:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.46/1.64 % (1367765)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1062610408:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.46/1.64 % (1367754)Instruction limit reached!
% 7.46/1.64 % (1367754)------------------------------
% 7.46/1.64 % (1367754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.64 % (1367754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.64 % (1367754)CaDiCaL version: 2.1.3
% 7.46/1.64 % (1367754)Termination reason: Instruction limit
% 7.46/1.64 % (1367754)Termination phase: Saturation
% 7.46/1.64 % (1367754)Time elapsed: 0.163 s
% 7.46/1.64 % (1367754)Peak memory usage: 12 MB
% 7.46/1.64 % (1367754)Instructions burned: 159 (million)
% 7.46/1.64 % (1367768)ott-21_1_sil=16000:fs=off:random_seed=723053296:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.46/1.64 % (1367764)Instruction limit reached!
% 7.46/1.64 % (1367764)------------------------------
% 7.46/1.64 % (1367764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.64 % (1367764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.64 % (1367764)CaDiCaL version: 2.1.3
% 7.46/1.64 % (1367764)Termination reason: Instruction limit
% 7.46/1.64 % (1367764)Termination phase: Saturation
% 7.46/1.64 % (1367764)Time elapsed: 0.128 s
% 7.46/1.64 % (1367764)Peak memory usage: 12 MB
% 7.46/1.64 % (1367764)Instructions burned: 131 (million)
% 7.46/1.64 % (1367770)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3649690897:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 7.46/1.64 % (1367768)Instruction limit reached!
% 7.46/1.64 % (1367768)------------------------------
% 7.46/1.64 % (1367768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.64 % (1367768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.64 % (1367768)CaDiCaL version: 2.1.3
% 7.46/1.64 % (1367768)Termination reason: Instruction limit
% 7.46/1.64 % (1367768)Termination phase: Saturation
% 7.46/1.64 % (1367768)Time elapsed: 0.171 s
% 7.46/1.64 % (1367768)Peak memory usage: 12 MB
% 7.46/1.64 % (1367768)Instructions burned: 180 (million)
% 7.46/1.64 % (1367762)Instruction limit reached!
% 7.46/1.64 % (1367762)------------------------------
% 7.46/1.64 % (1367762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.64 % (1367762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.64 % (1367762)CaDiCaL version: 2.1.3
% 7.46/1.64 % (1367762)Termination reason: Instruction limit
% 7.46/1.64 % (1367762)Termination phase: Finite model building SAT solving
% 7.46/1.64 % (1367762)Time elapsed: 0.331 s
% 7.46/1.64 % (1367762)Peak memory usage: 13 MB
% 7.46/1.64 % (1367762)Instructions burned: 715 (million)
% 7.46/1.64 % (1367772)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3761411916:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 7.46/1.64 % TRYING [1]
% 7.46/1.64 % TRYING [2]
% 7.46/1.64 % (1367773)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1767085165:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 7.46/1.64 % TRYING [3]
% 7.46/1.64 % TRYING [4]
% 7.46/1.64 % (1367770)Instruction limit reached!
% 7.46/1.64 % (1367770)------------------------------
% 7.46/1.64 % (1367770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.64 % (1367770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.64 % (1367770)CaDiCaL version: 2.1.3
% 7.46/1.64 % (1367770)Termination reason: Instruction limit
% 7.46/1.64 % (1367770)Termination phase: Saturation
% 7.46/1.64 % (1367770)Time elapsed: 0.432 s
% 7.46/1.64 % (1367770)Peak memory usage: 12 MB
% 7.46/1.64 % (1367770)Instructions burned: 477 (million)
% 7.46/1.64 % (1367776)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3569681110:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 7.46/1.64 % (1367765)Instruction limit reached!
% 7.46/1.64 % (1367765)------------------------------
% 7.46/1.64 % (1367765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.64 % (1367765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.64 % (1367765)CaDiCaL version: 2.1.3
% 7.46/1.64 % (1367765)Termination reason: Instruction limit
% 7.46/1.64 % (1367765)Termination phase: Saturation
% 7.46/1.64 % (1367765)Time elapsed: 0.688 s
% 7.46/1.64 % (1367765)Peak memory usage: 18 MB
% 7.46/1.64 % (1367765)Instructions burned: 684 (million)
% 7.46/1.64 % TRYING [14]
% 7.46/1.64 % (1367778)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1301706654:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 7.46/1.64 % (1367773)Instruction limit reached!
% 7.46/1.64 % (1367773)------------------------------
% 7.46/1.64 % (1367773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.64 % (1367773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.64 % (1367773)CaDiCaL version: 2.1.3
% 7.46/1.64 % (1367773)Termination reason: Instruction limit
% 7.46/1.64 % (1367773)Termination phase: Saturation
% 7.46/1.64 % (1367773)Time elapsed: 0.609 s
% 7.46/1.64 % (1367773)Peak memory usage: 24 MB
% 7.46/1.64 % (1367773)Instructions burned: 1182 (million)
% 7.46/1.64 % (1367780)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1250717519:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 7.46/1.64 % (1367778) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1367743-1367778"...
% 7.46/1.64 % (1367778)...printing done.
% 7.46/1.65 % (1367778)Refutation found. Thanks to Tanya!
% 7.46/1.65 % SZS status Unsatisfiable for theBenchmark
% 7.46/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 7.46/1.65 % (1367778)------------------------------
% 7.46/1.65 % (1367778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.65 % (1367778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.65 % (1367778)CaDiCaL version: 2.1.3
% 7.46/1.65 % (1367778)Termination reason: Refutation
% 7.46/1.65 % (1367778)Time elapsed: 0.231 s
% 7.46/1.65 % (1367778)Peak memory usage: 13 MB
% 7.46/1.65 % (1367778)Instructions burned: 225 (million)
% 7.46/1.65 % (1367743)Success in time 1.163 s
% 7.46/1.65 % Vampire exiting
%------------------------------------------------------------------------------