%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL045-1 : 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 : 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 11:57:29 AM UTC 2026
% Result : Unsatisfiable 1.43s 0.68s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 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,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f3,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_21) ).
fof(f5,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_22) ).
fof(f6,axiom,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_54) ).
fof(f7,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_46) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(resolution,[],[f4,f1]) ).
fof(f24,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f5,f1]) ).
fof(f28,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X1),X1))),
inference(resolution,[],[f14,f6]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f24,f1]) ).
fof(f68,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[],[f28,f1]) ).
fof(f92,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(implies(X0,X3),X2))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(resolution,[],[f35,f24]) ).
fof(f646,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(not(X0),X2)) ),
inference(resolution,[],[f92,f68]) ).
fof(f10475,plain,
( ~ is_a_theorem(implies(b,implies(not(b),not(a))))
| ~ is_a_theorem(implies(not(a),implies(not(b),not(a)))) ),
inference(resolution,[],[f646,f7]) ).
fof(f10509,plain,
~ is_a_theorem(implies(not(a),implies(not(b),not(a)))),
inference(forward_subsumption_resolution,[],[f10475,f2]) ).
fof(f10512,plain,
$false,
inference(forward_subsumption_resolution,[],[f10509,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL045-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % 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
% 0.12/0.38 % DateTime : Sun Sep 27 15:20:26 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 1.43/0.68 % (689010)Will run a generic schedule for satisfiability detection.
% 1.43/0.68 % (689026)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=686624756:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 1.43/0.68 % (689021)% WARNING: option uhcvi not known.
% 1.43/0.68 % (689020)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1445829811_3000 on theBenchmark for (3000ds/0Mi)
% 1.43/0.68 % (689024)dis+10_1_sil=32000:sp=arity:random_seed=3375314925:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 1.43/0.68 % (689022)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1446817570:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 1.43/0.68 % (689025)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3003007456:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 1.43/0.68 % (689027)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3313149:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 1.43/0.68 % (689021)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3057923389:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 1.43/0.68 % TRYING [1]
% 1.43/0.68 % TRYING [2]
% 1.43/0.68 % TRYING [3]
% 1.43/0.68 % TRYING [4]
% 1.43/0.68 % (689026)Instruction limit reached!
% 1.43/0.68 % (689026)------------------------------
% 1.43/0.68 % (689026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.68 % (689026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.68 % (689026)CaDiCaL version: 2.1.3
% 1.43/0.68 % (689026)Termination reason: Instruction limit
% 1.43/0.68 % (689026)Termination phase: Saturation
% 1.43/0.68 % (689026)Time elapsed: 0.048 s
% 1.43/0.68 % (689026)Peak memory usage: 13 MB
% 1.43/0.68 % (689026)Instructions burned: 134 (million)
% 1.43/0.68 % (689062)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2630969572:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.43/0.68 % TRYING [1]
% 1.43/0.68 % TRYING [2]
% 1.43/0.68 % TRYING [3]
% 1.43/0.68 % TRYING [5]
% 1.43/0.68 % TRYING [4]
% 1.43/0.68 % (689024)Instruction limit reached!
% 1.43/0.68 % (689024)------------------------------
% 1.43/0.68 % (689024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.68 % (689024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.68 % (689024)CaDiCaL version: 2.1.3
% 1.43/0.68 % (689024)Termination reason: Instruction limit
% 1.43/0.68 % (689024)Termination phase: Saturation
% 1.43/0.68 % (689024)Time elapsed: 0.066 s
% 1.43/0.68 % (689024)Peak memory usage: 12 MB
% 1.43/0.68 % (689024)Instructions burned: 103 (million)
% 1.43/0.68 % (689025)Instruction limit reached!
% 1.43/0.68 % (689025)------------------------------
% 1.43/0.68 % (689025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.68 % (689025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.68 % (689025)CaDiCaL version: 2.1.3
% 1.43/0.68 % (689025)Termination reason: Instruction limit
% 1.43/0.68 % (689025)Termination phase: Saturation
% 1.43/0.68 % (689025)Time elapsed: 0.071 s
% 1.43/0.68 % (689025)Peak memory usage: 11 MB
% 1.43/0.68 % (689025)Instructions burned: 116 (million)
% 1.43/0.68 % (689064)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2136306486:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.43/0.68 % TRYING [5]
% 1.43/0.68 % (689065)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=1668458692:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.43/0.68 % (689027)Instruction limit reached!
% 1.43/0.68 % (689027)------------------------------
% 1.43/0.68 % (689027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.68 % (689027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.68 % (689027)CaDiCaL version: 2.1.3
% 1.43/0.68 % (689027)Termination reason: Instruction limit
% 1.43/0.68 % (689027)Termination phase: Saturation
% 1.43/0.68 % (689027)Time elapsed: 0.104 s
% 1.43/0.68 % (689027)Peak memory usage: 13 MB
% 1.43/0.68 % (689027)Instructions burned: 159 (million)
% 1.43/0.68 % (689068)ott-21_1_sil=16000:fs=off:random_seed=3959705061:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.43/0.68 % (689064)Instruction limit reached!
% 1.43/0.68 % (689064)------------------------------
% 1.43/0.68 % (689064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.68 % (689064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.68 % (689064)CaDiCaL version: 2.1.3
% 1.43/0.68 % (689064)Termination reason: Instruction limit
% 1.43/0.68 % (689064)Termination phase: Saturation
% 1.43/0.68 % (689064)Time elapsed: 0.083 s
% 1.43/0.68 % (689064)Peak memory usage: 12 MB
% 1.43/0.68 % (689064)Instructions burned: 133 (million)
% 1.43/0.68 % (689070)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1228861983:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.43/0.68 % TRYING [6]
% 1.43/0.68 % (689068)Instruction limit reached!
% 1.43/0.68 % (689068)------------------------------
% 1.43/0.68 % (689068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.68 % (689068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.68 % (689068)CaDiCaL version: 2.1.3
% 1.43/0.68 % (689068)Termination reason: Instruction limit
% 1.43/0.68 % (689068)Termination phase: Saturation
% 1.43/0.68 % (689068)Time elapsed: 0.095 s
% 1.43/0.68 % (689068)Peak memory usage: 12 MB
% 1.43/0.68 % (689068)Instructions burned: 182 (million)
% 1.43/0.68 % (689021) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-689010-689021"...
% 1.43/0.68 % (689021)...printing done.
% 1.43/0.68 % (689021)Refutation found. Thanks to Tanya!
% 1.43/0.68 % SZS status Unsatisfiable for theBenchmark
% 1.43/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.68 % (689021)------------------------------
% 1.43/0.68 % (689021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.68 % (689021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.68 % (689021)CaDiCaL version: 2.1.3
% 1.43/0.68 % (689021)Termination reason: Refutation
% 1.43/0.68 % (689021)Time elapsed: 0.226 s
% 1.43/0.68 % (689021)Peak memory usage: 14 MB
% 1.43/0.68 % (689021)Instructions burned: 369 (million)
% 1.43/0.68 % (689010)Success in time 0.252 s
% 1.43/0.68 % Vampire exiting
%------------------------------------------------------------------------------