%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL075-1 : 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 : 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 11:57:34 AM UTC 2026
% Result : Unsatisfiable 0.29s 0.68s
% Output : Refutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 20 ( 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 : 7 ( 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 : 45 ( 45 !; 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,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(not(X2),not(X3))),X2),X4),implies(implies(X4,X0),implies(X3,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_CAMeredith) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(a,implies(not(a),b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_3) ).
fof(f19,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(not(X2),not(X3))),X2),X4))
| is_a_theorem(implies(implies(X4,X0),implies(X3,X0))) ),
inference(resolution,[],[f2,f1]) ).
fof(f26,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(resolution,[],[f19,f2]) ).
fof(f46,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(resolution,[],[f26,f19]) ).
fof(f48,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[],[f46,f19]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f48,f1]) ).
fof(f57,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(resolution,[],[f51,f48]) ).
fof(f65,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),implies(X3,X2))),
inference(resolution,[],[f57,f19]) ).
fof(f140,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f65,f19]) ).
fof(f143,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),not(X1)),X0),X2),implies(X1,X2))),
inference(resolution,[],[f140,f19]) ).
fof(f1482,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(not(X0),not(X1)),X0),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f143,f1]) ).
fof(f3178,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(resolution,[],[f1482,f140]) ).
fof(f3406,plain,
$false,
inference(resolution,[],[f3178,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL075-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.46 % Computer : n001.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Sun Sep 27 15:26:16 UTC 2026
% 0.18/0.47 % CPUTime :
% 0.18/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.52 Running first-order model finding
% 0.25/0.52 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
% 0.29/0.68 % (3702233)Will run a generic schedule for satisfiability detection.
% 0.29/0.68 % (3702243)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1562548240:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.29/0.68 % (3702239)% WARNING: option uhcvi not known.
% 0.29/0.68 % (3702240)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=627184516:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.29/0.68 % (3702238)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3561562884_2999 on theBenchmark for (2999ds/0Mi)
% 0.29/0.68 % (3702241)dis+10_1_sil=32000:sp=arity:random_seed=252920076:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.29/0.68 % (3702244)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1064097407:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.29/0.68 % (3702239)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2026477907:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.29/0.68 % (3702242)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2940522957:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.29/0.68 % TRYING [1]
% 0.29/0.68 % TRYING [2]
% 0.29/0.68 % TRYING [3]
% 0.29/0.68 % (3702243)Instruction limit reached!
% 0.29/0.68 % (3702243)------------------------------
% 0.29/0.68 % (3702243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.68 % (3702243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.68 % (3702243)CaDiCaL version: 2.1.3
% 0.29/0.68 % (3702243)Termination reason: Instruction limit
% 0.29/0.68 % (3702243)Termination phase: Saturation
% 0.29/0.68 % (3702243)Time elapsed: 0.073 s
% 0.29/0.68 % (3702243)Peak memory usage: 13 MB
% 0.29/0.68 % (3702243)Instructions burned: 134 (million)
% 0.29/0.68 % (3702240) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3702233-3702240"...
% 0.29/0.68 % (3702240)...printing done.
% 0.29/0.68 % (3702240)Refutation found. Thanks to Tanya!
% 0.29/0.68 % SZS status Unsatisfiable for theBenchmark
% 0.29/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 0.29/0.68 % (3702240)------------------------------
% 0.29/0.68 % (3702240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.68 % (3702240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.68 % (3702240)CaDiCaL version: 2.1.3
% 0.29/0.68 % (3702240)Termination reason: Refutation
% 0.29/0.68 % (3702240)Time elapsed: 0.080 s
% 0.29/0.68 % (3702240)Peak memory usage: 12 MB
% 0.29/0.68 % (3702240)Instructions burned: 75 (million)
% 0.29/0.68 % (3702233)Success in time 0.139 s
% 0.29/0.68 % Vampire exiting
%------------------------------------------------------------------------------