%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL834-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 12:00:47 PM UTC 2026
% Result : Unsatisfiable 0.06s 0.41s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-5 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f572,axiom,
! [X0,X1] : hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_beta_0) ).
fof(f573,axiom,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_apps__preserves__beta_0) ).
fof(f583,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f838,plain,
! [X0,X1] : ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)))),
inference(consistent_polarity_flipping,[],[f572]) ).
fof(f839,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
inference(consistent_polarity_flipping,[],[f573]) ).
fof(f844,plain,
hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
inference(consistent_polarity_flipping,[],[f583]) ).
fof(f2678,plain,
hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____)),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)))),
inference(resolution,[],[f839,f844]) ).
fof(f2689,plain,
$false,
inference(forward_subsumption_resolution,[],[f2678,f838]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL834-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 16:58:04 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 Running first-order model finding
% 0.04/0.32 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.41 % (2590517)Will run a generic schedule for satisfiability detection.
% 0.06/0.41 % (2590523)% WARNING: option uhcvi not known.
% 0.06/0.41 % (2590525)dis+10_1_sil=32000:sp=arity:random_seed=822497238:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.06/0.41 % (2590523)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=563518068:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.41 % (2590524)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3241039976:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.06/0.41 % (2590522)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1086205679_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.41 % (2590526)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1688433023:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.41 % (2590527)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4106834320:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.06/0.41 % (2590528)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=278581722:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.06/0.41 % (2590525)Instruction limit reached!
% 0.06/0.41 % (2590525)------------------------------
% 0.06/0.41 % (2590525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.41 % (2590525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.41 % (2590525)CaDiCaL version: 2.1.3
% 0.06/0.41 % (2590525)Termination reason: Instruction limit
% 0.06/0.41 % (2590525)Termination phase: Saturation
% 0.06/0.41 % (2590525)Time elapsed: 0.037 s
% 0.06/0.41 % (2590525)Peak memory usage: 12 MB
% 0.06/0.41 % (2590525)Instructions burned: 104 (million)
% 0.06/0.41 % (2590526)Instruction limit reached!
% 0.06/0.41 % (2590526)------------------------------
% 0.06/0.41 % (2590526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.41 % (2590526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.41 % (2590526)CaDiCaL version: 2.1.3
% 0.06/0.41 % (2590526)Termination reason: Instruction limit
% 0.06/0.41 % (2590526)Termination phase: Saturation
% 0.06/0.41 % (2590526)Time elapsed: 0.040 s
% 0.06/0.41 % (2590526)Peak memory usage: 13 MB
% 0.06/0.41 % (2590526)Instructions burned: 116 (million)
% 0.06/0.41 % (2590527)Instruction limit reached!
% 0.06/0.41 % (2590527)------------------------------
% 0.06/0.41 % (2590527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.41 % (2590527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.41 % (2590527)CaDiCaL version: 2.1.3
% 0.06/0.41 % (2590527)Termination reason: Instruction limit
% 0.06/0.41 % (2590527)Termination phase: Saturation
% 0.06/0.41 % (2590527)Time elapsed: 0.044 s
% 0.06/0.41 % (2590527)Peak memory usage: 13 MB
% 0.06/0.41 % (2590527)Instructions burned: 134 (million)
% 0.06/0.41 % (2590523) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2590517-2590523"...
% 0.06/0.41 % (2590536)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2863122793:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.06/0.41 % (2590523)...printing done.
% 0.06/0.41 % (2590523)Refutation found. Thanks to Tanya!
% 0.06/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.06/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.41 % (2590523)------------------------------
% 0.06/0.41 % (2590523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.41 % (2590523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.41 % (2590523)CaDiCaL version: 2.1.3
% 0.06/0.41 % (2590523)Termination reason: Refutation
% 0.06/0.41 % (2590523)Time elapsed: 0.049 s
% 0.06/0.41 % (2590523)Peak memory usage: 13 MB
% 0.06/0.41 % (2590523)Instructions burned: 131 (million)
% 0.06/0.41 % (2590517)Success in time 0.086 s
% 0.06/0.41 % Vampire exiting
%------------------------------------------------------------------------------