%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL795-1 : 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 : n004.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 12:00:37 PM UTC 2026
% Result : Unsatisfiable 0.58s 0.60s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 6 unt; 0 def)
% Number of atoms : 8 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 4 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-5 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1034,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uT_0) ).
fof(f1036,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/sandbox/benchmark/theBenchmark.p',cls_T_0) ).
fof(f1037,axiom,
! [X2,X3,X0,X1,X4] :
( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
| ~ c_Type_Otyping(X0,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift__type_0) ).
fof(f1042,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),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/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2250,plain,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),v_T____),
inference(superposition,[],[f1042,f1036]) ).
fof(f3382,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(resolution,[],[f1037,f2250]) ).
fof(f3385,plain,
$false,
inference(forward_subsumption_resolution,[],[f3382,f1034]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL795-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.42 % Computer : n004.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 27 16:52:15 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.46 Running first-order model finding
% 0.16/0.46 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
% 0.58/0.60 % (3737469)Will run a generic schedule for satisfiability detection.
% 0.58/0.60 % (3737497)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=237927079:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.58/0.60 % (3737491)% WARNING: option uhcvi not known.
% 0.58/0.60 % (3737491)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2298935317:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.58/0.60 % (3737489)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1048478784_2999 on theBenchmark for (2999ds/0Mi)
% 0.58/0.60 % (3737494)dis+10_1_sil=32000:sp=arity:random_seed=1490198765:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.58/0.60 % (3737492)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=486388498:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.58/0.60 % (3737495)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=617252547:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.58/0.60 % (3737496)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1055242392:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.58/0.60 % (3737497)Instruction limit reached!
% 0.58/0.60 % (3737497)------------------------------
% 0.58/0.60 % (3737497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.60 % (3737497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.60 % (3737497)CaDiCaL version: 2.1.3
% 0.58/0.60 % (3737497)Termination reason: Instruction limit
% 0.58/0.60 % (3737497)Termination phase: Saturation
% 0.58/0.60 % (3737497)Time elapsed: 0.054 s
% 0.58/0.60 % (3737497)Peak memory usage: 14 MB
% 0.58/0.60 % (3737497)Instructions burned: 161 (million)
% 0.58/0.60 % (3737494)Instruction limit reached!
% 0.58/0.60 % (3737494)------------------------------
% 0.58/0.60 % (3737494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.60 % (3737494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.60 % (3737494)CaDiCaL version: 2.1.3
% 0.58/0.60 % (3737494)Termination reason: Instruction limit
% 0.58/0.60 % (3737494)Termination phase: Saturation
% 0.58/0.60 % (3737494)Time elapsed: 0.064 s
% 0.58/0.60 % (3737494)Peak memory usage: 13 MB
% 0.58/0.60 % (3737494)Instructions burned: 104 (million)
% 0.58/0.60 % (3737520)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3257097661:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.58/0.60 % (3737495)Instruction limit reached!
% 0.58/0.60 % (3737495)------------------------------
% 0.58/0.60 % (3737495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.60 % (3737495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.60 % (3737495)CaDiCaL version: 2.1.3
% 0.58/0.60 % (3737495)Termination reason: Instruction limit
% 0.58/0.60 % (3737495)Termination phase: Saturation
% 0.58/0.60 % (3737495)Time elapsed: 0.071 s
% 0.58/0.60 % (3737495)Peak memory usage: 13 MB
% 0.58/0.60 % (3737495)Instructions burned: 118 (million)
% 0.58/0.60 % (3737491) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3737469-3737491"...
% 0.58/0.60 % (3737491)...printing done.
% 0.58/0.60 % (3737491)Refutation found. Thanks to Tanya!
% 0.58/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.58/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.60 % (3737491)------------------------------
% 0.58/0.60 % (3737491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.60 % (3737491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.60 % (3737491)CaDiCaL version: 2.1.3
% 0.58/0.60 % (3737491)Termination reason: Refutation
% 0.58/0.60 % (3737491)Time elapsed: 0.072 s
% 0.58/0.60 % (3737491)Peak memory usage: 13 MB
% 0.58/0.60 % (3737491)Instructions burned: 106 (million)
% 0.58/0.60 % (3737469)Success in time 0.128 s
% 0.58/0.60 % Vampire exiting
%------------------------------------------------------------------------------