%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL818-1 : 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 : n020.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 12:00:43 PM UTC 2026
% Result : Unsatisfiable 1.03s 0.61s
% Output : Refutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 14 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-5 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f388,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_uT_0) ).
fof(f405,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
| ~ c_Type_Otyping(X0,X2,X4)
| c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_App_0) ).
fof(f430,axiom,
v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_T_0) ).
fof(f450,axiom,
c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f452,negated_conjecture,
~ c_Type_Otyping(v_e____,hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),c_Lambda_Osubst(v_a____,v_u____,v_i____)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f792,plain,
! [X2,X0,X1] :
( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))
| ~ c_Type_Otyping(X0,X2,v_T_H_H____)
| ~ c_Type_Otyping(X0,X1,v_T____) ),
inference(superposition,[],[f405,f430]) ).
fof(f1185,plain,
( ~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____)
| ~ c_Type_Otyping(v_e____,v_u____,v_T____) ),
inference(resolution,[],[f792,f452]) ).
fof(f1194,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(forward_subsumption_resolution,[],[f1185,f450]) ).
fof(f1197,plain,
$false,
inference(forward_subsumption_resolution,[],[f1194,f388]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL818-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 16:56:05 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.40 Running first-order model finding
% 0.15/0.40 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
% 1.03/0.61 % (3606201)Will run a generic schedule for satisfiability detection.
% 1.03/0.61 % (3606206)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1560158553_2999 on theBenchmark for (2999ds/0Mi)
% 1.03/0.61 % (3606208)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=178990813:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.03/0.61 % (3606212)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=998512163:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.03/0.61 % (3606209)dis+10_1_sil=32000:sp=arity:random_seed=1872150051:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.03/0.61 % (3606210)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=517486816:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.03/0.61 % (3606211)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=901402965:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.03/0.61 % (3606207)% WARNING: option uhcvi not known.
% 1.03/0.61 % (3606207)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1991277771:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.03/0.61 % TRYING [1]
% 1.03/0.61 % TRYING [2]
% 1.03/0.61 % TRYING [3]
% 1.03/0.61 % (3606210)Instruction limit reached!
% 1.03/0.61 % (3606210)------------------------------
% 1.03/0.61 % (3606210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.61 % (3606210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.61 % (3606210)CaDiCaL version: 2.1.3
% 1.03/0.61 % (3606210)Termination reason: Instruction limit
% 1.03/0.61 % (3606210)Termination phase: Saturation
% 1.03/0.61 % (3606210)Time elapsed: 0.067 s
% 1.03/0.61 % (3606210)Peak memory usage: 13 MB
% 1.03/0.61 % (3606210)Instructions burned: 116 (million)
% 1.03/0.61 % (3606209)Instruction limit reached!
% 1.03/0.61 % (3606209)------------------------------
% 1.03/0.61 % (3606209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.61 % (3606209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.61 % (3606209)CaDiCaL version: 2.1.3
% 1.03/0.61 % (3606209)Termination reason: Instruction limit
% 1.03/0.61 % (3606209)Termination phase: Saturation
% 1.03/0.61 % (3606209)Time elapsed: 0.067 s
% 1.03/0.61 % (3606209)Peak memory usage: 12 MB
% 1.03/0.61 % (3606209)Instructions burned: 103 (million)
% 1.03/0.61 % (3606211)Instruction limit reached!
% 1.03/0.61 % (3606211)------------------------------
% 1.03/0.61 % (3606211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.61 % (3606211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.61 % (3606211)CaDiCaL version: 2.1.3
% 1.03/0.61 % (3606211)Termination reason: Instruction limit
% 1.03/0.61 % (3606211)Termination phase: Saturation
% 1.03/0.61 % (3606211)Time elapsed: 0.084 s
% 1.03/0.61 % (3606211)Peak memory usage: 13 MB
% 1.03/0.61 % (3606211)Instructions burned: 134 (million)
% 1.03/0.61 % (3606220)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=713336550:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.03/0.61 % (3606221)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=129746083:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.03/0.61 % (3606212)Instruction limit reached!
% 1.03/0.61 % (3606212)------------------------------
% 1.03/0.61 % (3606212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.61 % (3606212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.61 % (3606212)CaDiCaL version: 2.1.3
% 1.03/0.61 % (3606212)Termination reason: Instruction limit
% 1.03/0.61 % (3606212)Termination phase: Saturation
% 1.03/0.61 % (3606212)Time elapsed: 0.097 s
% 1.03/0.61 % (3606212)Peak memory usage: 14 MB
% 1.03/0.61 % (3606212)Instructions burned: 159 (million)
% 1.03/0.61 % (3606222)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=3529364443:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.03/0.61 % (3606225)ott-21_1_sil=16000:fs=off:random_seed=2483148282:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.03/0.61 % (3606222) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3606201-3606222"...
% 1.03/0.61 % (3606222)...printing done.
% 1.03/0.61 % (3606222)Refutation found. Thanks to Tanya!
% 1.03/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.03/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.03/0.61 % (3606222)------------------------------
% 1.03/0.61 % (3606222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.61 % (3606222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.61 % (3606222)CaDiCaL version: 2.1.3
% 1.03/0.61 % (3606222)Termination reason: Refutation
% 1.03/0.61 % (3606222)Time elapsed: 0.042 s
% 1.03/0.61 % (3606222)Peak memory usage: 13 MB
% 1.03/0.61 % (3606222)Instructions burned: 66 (million)
% 1.03/0.61 % (3606201)Success in time 0.197 s
% 1.03/0.61 % Vampire exiting
%------------------------------------------------------------------------------