%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n016.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 11:56:52 AM UTC 2026
% Result : Unsatisfiable 2.52s 1.33s
% Output : Refutation 2.52s
% 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(f236,plain,
~ hBOOL(hAPP(c_InductTermi_OIT,v_t)),
inference(resolution,[],[f184,f216]) ).
fof(f238,plain,
$false,
inference(forward_subsumption_resolution,[],[f236,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 THM
% 0.13/0.39 % Computer : n016.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 17:07:11 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.52/1.33 % (2852163)Input is clausal, will run a generic CNF schedule.
% 2.52/1.33 % (2852171)lrs+10_1_sil=8000:sp=occurrence:random_seed=2864346640:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.52/1.33 % (2852171)First to succeed.
% 2.52/1.33 % (2852171)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2852163"
% 2.52/1.33 % (2852169)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1577810432:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.52/1.33 % (2852168)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1133501325:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.52/1.33 % (2852173)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=150284388:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.52/1.33 % (2852170)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3512259776:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.52/1.33 % (2852174)dis-21_1_sil=8000:lcm=predicate:random_seed=2673965258:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.52/1.33 % (2852172)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3678454358:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.52/1.33 % (2852173)Also succeeded, but the first one will report.
% 2.52/1.33 % (2852172)Also succeeded, but the first one will report.
% 2.52/1.33 % (2852174)Also succeeded, but the first one will report.
% 2.52/1.33 % (2852171)Refutation found. Thanks to Tanya!
% 2.52/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.52/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.52/1.33 % (2852171)------------------------------
% 2.52/1.33 % (2852171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.33 % (2852171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.33 % (2852171)CaDiCaL version: 2.1.3
% 2.52/1.33 % (2852171)Termination reason: Refutation
% 2.52/1.33 % (2852171)Time elapsed: 0.002 s
% 2.52/1.33 % (2852171)Peak memory usage: 88 MB
% 2.52/1.33 % (2852171)Instructions burned: 4 (million)
% 2.52/1.33 % (2852171)------------------------------
% 2.52/1.33 % (2852171)------------------------------
% 2.52/1.33 % (2852163)Success in time 0.276 s
% 2.52/1.33 % Vampire exiting
%------------------------------------------------------------------------------