%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL835-1 : 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 : n019.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 1.18s 0.69s
% Output : Refutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-5 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f503,axiom,
! [X2,X3,X0,X1] :
( c_Type_Otyping(X0,X1,X2)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X3),X1))
| ~ c_Type_Otyping(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subject__reduction_0) ).
fof(f512,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/sandbox2/benchmark/theBenchmark.p',cls_beta_0) ).
fof(f539,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/sandbox2/benchmark/theBenchmark.p',cls_apps__preserves__beta_0) ).
fof(f556,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),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),v_T_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_T_0) ).
fof(f565,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),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),v_T_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f708,plain,
! [X2,X3,X0,X1] :
( ~ c_Type_Otyping(X0,X1,X2)
| hBOOL(hAPP(hAPP(c_Lambda_Obeta,X3),X1))
| c_Type_Otyping(X0,X3,X2) ),
inference(consistent_polarity_flipping,[],[f503]) ).
fof(f715,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,[],[f512]) ).
fof(f724,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,[],[f539]) ).
fof(f736,plain,
~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),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),v_T_H____),
inference(consistent_polarity_flipping,[],[f556]) ).
fof(f740,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),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),v_T_H____),
inference(consistent_polarity_flipping,[],[f565]) ).
fof(f1848,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),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)))
| c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),X0,v_T_H____) ),
inference(resolution,[],[f708,f740]) ).
fof(f4078,plain,
! [X0] :
( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,X0,v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)
| hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)))) ),
inference(resolution,[],[f724,f1848]) ).
fof(f6499,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,[],[f4078,f736]) ).
fof(f6505,plain,
$false,
inference(forward_subsumption_resolution,[],[f6499,f715]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL835-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 16:58:49 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 1.18/0.69 % (3267795)Will run a generic schedule for satisfiability detection.
% 1.18/0.69 % (3267805)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2939718540:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.18/0.69 % (3267801)% WARNING: option uhcvi not known.
% 1.18/0.69 % (3267800)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=496671860_2999 on theBenchmark for (2999ds/0Mi)
% 1.18/0.69 % (3267801)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3249527919:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.18/0.69 % (3267802)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3217061445:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.18/0.69 % (3267803)dis+10_1_sil=32000:sp=arity:random_seed=1541908279:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.18/0.69 % (3267804)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2488401643:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.18/0.69 % (3267806)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=811610430:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.18/0.69 % (3267805)Instruction limit reached!
% 1.18/0.69 % (3267805)------------------------------
% 1.18/0.69 % (3267805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.69 % (3267805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.69 % (3267805)CaDiCaL version: 2.1.3
% 1.18/0.69 % (3267805)Termination reason: Instruction limit
% 1.18/0.69 % (3267805)Termination phase: Saturation
% 1.18/0.69 % (3267805)Time elapsed: 0.044 s
% 1.18/0.69 % (3267805)Peak memory usage: 13 MB
% 1.18/0.69 % (3267805)Instructions burned: 131 (million)
% 1.18/0.69 % (3267814)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3250591716:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.18/0.69 % (3267803)Instruction limit reached!
% 1.18/0.69 % (3267803)------------------------------
% 1.18/0.69 % (3267803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.69 % (3267803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.69 % (3267803)CaDiCaL version: 2.1.3
% 1.18/0.69 % (3267803)Termination reason: Instruction limit
% 1.18/0.69 % (3267803)Termination phase: Saturation
% 1.18/0.69 % (3267803)Time elapsed: 0.066 s
% 1.18/0.69 % (3267803)Peak memory usage: 12 MB
% 1.18/0.69 % (3267803)Instructions burned: 104 (million)
% 1.18/0.69 % (3267804)Instruction limit reached!
% 1.18/0.69 % (3267804)------------------------------
% 1.18/0.69 % (3267804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.69 % (3267804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.69 % (3267804)CaDiCaL version: 2.1.3
% 1.18/0.69 % (3267804)Termination reason: Instruction limit
% 1.18/0.69 % (3267804)Termination phase: Saturation
% 1.18/0.69 % (3267804)Time elapsed: 0.073 s
% 1.18/0.69 % (3267804)Peak memory usage: 13 MB
% 1.18/0.69 % (3267804)Instructions burned: 117 (million)
% 1.18/0.69 % TRYING [1]
% 1.18/0.69 % (3267816)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=89435473:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.18/0.69 % TRYING [2]
% 1.18/0.69 % TRYING [1]
% 1.18/0.69 % (3267817)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=2428519568:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.18/0.69 % TRYING [2]
% 1.18/0.69 % (3267806)Instruction limit reached!
% 1.18/0.69 % (3267806)------------------------------
% 1.18/0.69 % (3267806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.69 % (3267806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.69 % (3267806)CaDiCaL version: 2.1.3
% 1.18/0.69 % (3267806)Termination reason: Instruction limit
% 1.18/0.69 % (3267806)Termination phase: Saturation
% 1.18/0.69 % (3267806)Time elapsed: 0.103 s
% 1.18/0.69 % (3267806)Peak memory usage: 13 MB
% 1.18/0.69 % (3267806)Instructions burned: 160 (million)
% 1.18/0.69 % (3267820)ott-21_1_sil=16000:fs=off:random_seed=2748189209:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.18/0.69 % TRYING [3]
% 1.18/0.69 % TRYING [3]
% 1.18/0.69 % (3267816)Instruction limit reached!
% 1.18/0.69 % (3267816)------------------------------
% 1.18/0.69 % (3267816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.69 % (3267816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.69 % (3267816)CaDiCaL version: 2.1.3
% 1.18/0.69 % (3267816)Termination reason: Instruction limit
% 1.18/0.69 % (3267816)Termination phase: Saturation
% 1.18/0.69 % (3267816)Time elapsed: 0.089 s
% 1.18/0.69 % (3267816)Peak memory usage: 13 MB
% 1.18/0.69 % (3267816)Instructions burned: 132 (million)
% 1.18/0.69 % (3267814)Instruction limit reached!
% 1.18/0.69 % (3267814)------------------------------
% 1.18/0.69 % (3267814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.69 % (3267814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.69 % (3267814)CaDiCaL version: 2.1.3
% 1.18/0.69 % (3267814)Termination reason: Instruction limit
% 1.18/0.69 % (3267814)Termination phase: Finite model building constraint generation
% 1.18/0.69 % (3267814)Time elapsed: 0.146 s
% 1.18/0.69 % (3267814)Peak memory usage: 32 MB
% 1.18/0.69 % (3267814)Instructions burned: 714 (million)
% 1.18/0.69 % (3267822)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2800355772:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.18/0.69 % (3267824)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1258516580:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.18/0.69 % (3267801) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3267795-3267801"...
% 1.18/0.69 % (3267801)...printing done.
% 1.18/0.69 % (3267801)Refutation found. Thanks to Tanya!
% 1.18/0.69 % SZS status Unsatisfiable for theBenchmark
% 1.18/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 1.18/0.69 % (3267801)------------------------------
% 1.18/0.69 % (3267801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.69 % (3267801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.69 % (3267801)CaDiCaL version: 2.1.3
% 1.18/0.69 % (3267801)Termination reason: Refutation
% 1.18/0.69 % (3267801)Time elapsed: 0.215 s
% 1.18/0.69 % (3267801)Peak memory usage: 15 MB
% 1.18/0.69 % (3267801)Instructions burned: 345 (million)
% 1.18/0.69 % (3267795)Success in time 0.276 s
% 1.18/0.69 % Vampire exiting
%------------------------------------------------------------------------------