%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL858-1 : TPTP v9.3.1. Released v4.1.0.
% 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 12:00:51 PM UTC 2026
% Result : Unsatisfiable 0.40s 0.46s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 1 ( 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f184,axiom,
! [X0] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X0))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IT__implies__termi_0) ).
fof(f215,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f216,negated_conjecture,
~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f357,plain,
~ hBOOL(hAPP(c_InductTermi_OIT,v_t)),
inference(resolution,[],[f184,f216]) ).
fof(f359,plain,
$false,
inference(forward_subsumption_resolution,[],[f357,f215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL858-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n001.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 17:08:17 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.40/0.46 % (3801557)Will run a generic schedule for satisfiability detection.
% 0.40/0.46 % (3801572)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=771650216:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.40/0.46 % (3801571)% WARNING: option uhcvi not known.
% 0.40/0.46 % (3801570)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3243442824_2999 on theBenchmark for (2999ds/0Mi)
% 0.40/0.46 % (3801573)dis+10_1_sil=32000:sp=arity:random_seed=2817757440:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.40/0.46 % (3801577)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1934885546:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.40/0.46 % (3801576)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1423146252:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.40/0.46 % (3801574)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4261233178:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.40/0.46 % (3801571)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2524478654:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.40/0.46 % (3801573) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3801557-3801573"...
% 0.40/0.46 % (3801573)...printing done.
% 0.40/0.46 % (3801573)Refutation found. Thanks to Tanya!
% 0.40/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.40/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.40/0.46 % (3801573)------------------------------
% 0.40/0.46 % (3801573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.46 % (3801573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.46 % (3801573)CaDiCaL version: 2.1.3
% 0.40/0.46 % (3801573)Termination reason: Refutation
% 0.40/0.46 % (3801573)Time elapsed: 0.011 s
% 0.40/0.46 % (3801573)Peak memory usage: 11 MB
% 0.40/0.46 % (3801573)Instructions burned: 15 (million)
% 0.40/0.46 % (3801557)Success in time 0.042 s
% 0.40/0.46 % Vampire exiting
%------------------------------------------------------------------------------