%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL794-1 : 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 : n026.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 1.63s 0.72s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 30 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-5 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f438,axiom,
! [X2,X3,X0,X1,X4,X5] : c_List_Ofoldr(X0,c_List_Olist_OCons(X1,X2,X3),X4,X3,X5) = hAPP(hAPP(X0,X1),c_List_Ofoldr(X0,X2,X4,X3,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldr_Osimps_I2_J_0) ).
fof(f482,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uT_0) ).
fof(f484,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(f485,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(f489,axiom,
! [X2,X3,X0,X1,X4] :
( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
| ~ c_Type_Otyping(X0,X2,X4)
| ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_App_0) ).
fof(f494,axiom,
! [X2,X3,X0,X1] : hAPP(c_Type_Oshift(X0,X1,X2,X3),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shift__eq_0) ).
fof(f497,axiom,
! [X0,X1] : c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing_OVar_0) ).
fof(f499,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),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(f705,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(consistent_polarity_flipping,[],[f482]) ).
fof(f707,plain,
! [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) ),
inference(consistent_polarity_flipping,[],[f485]) ).
fof(f708,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
| c_Type_Otyping(X0,X2,X4)
| c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3)) ),
inference(consistent_polarity_flipping,[],[f489]) ).
fof(f711,plain,
! [X0,X1] : ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)),
inference(consistent_polarity_flipping,[],[f497]) ).
fof(f712,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
inference(consistent_polarity_flipping,[],[f499]) ).
fof(f735,plain,
! [X2,X3,X0,X1] : ~ c_Type_Otyping(c_Type_Oshift(X1,X2,X0,X3),c_Lambda_OdB_OVar(X2),X0),
inference(superposition,[],[f711,f494]) ).
fof(f2643,plain,
v_T____ = c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype),
inference(superposition,[],[f438,f484]) ).
fof(f3223,plain,
! [X0] :
( c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),X0)
| 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,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
inference(resolution,[],[f708,f712]) ).
fof(f3325,plain,
! [X0] :
( 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)),c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(X0,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype))
| c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),X0) ),
inference(forward_demodulation,[],[f3223,f438]) ).
fof(f6170,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____)
| c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____) ),
inference(superposition,[],[f3325,f2643]) ).
fof(f6176,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(forward_subsumption_resolution,[],[f6170,f735]) ).
fof(f6190,plain,
c_Type_Otyping(v_e____,v_u____,v_T____),
inference(resolution,[],[f6176,f707]) ).
fof(f6192,plain,
$false,
inference(forward_subsumption_resolution,[],[f6190,f705]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL794-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 16:55:12 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 1.63/0.72 % (3061111)Will run a generic schedule for satisfiability detection.
% 1.63/0.72 % (3061119)dis+10_1_sil=32000:sp=arity:random_seed=2766075666:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.63/0.72 % (3061117)% WARNING: option uhcvi not known.
% 1.63/0.72 % (3061116)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=152731647_2999 on theBenchmark for (2999ds/0Mi)
% 1.63/0.72 % (3061117)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=842724996:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.63/0.72 % (3061121)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1873677487:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.63/0.72 % (3061118)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1975311145:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.63/0.72 % (3061120)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2009409000:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.63/0.72 % (3061122)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3529849972:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.63/0.72 % (3061119)Instruction limit reached!
% 1.63/0.72 % (3061119)------------------------------
% 1.63/0.72 % (3061119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.72 % (3061119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.72 % (3061119)CaDiCaL version: 2.1.3
% 1.63/0.72 % (3061119)Termination reason: Instruction limit
% 1.63/0.72 % (3061119)Termination phase: Saturation
% 1.63/0.72 % (3061119)Time elapsed: 0.036 s
% 1.63/0.72 % (3061119)Peak memory usage: 12 MB
% 1.63/0.72 % (3061119)Instructions burned: 105 (million)
% 1.63/0.72 % (3061130)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2476448644:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.63/0.72 % TRYING [1]
% 1.63/0.72 % TRYING [2]
% 1.63/0.72 % TRYING [1]
% 1.63/0.72 % TRYING [2]
% 1.63/0.72 % (3061120)Instruction limit reached!
% 1.63/0.72 % (3061120)------------------------------
% 1.63/0.72 % (3061120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.72 % (3061120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.72 % (3061120)CaDiCaL version: 2.1.3
% 1.63/0.72 % (3061120)Termination reason: Instruction limit
% 1.63/0.72 % (3061120)Termination phase: Saturation
% 1.63/0.72 % (3061120)Time elapsed: 0.073 s
% 1.63/0.72 % (3061120)Peak memory usage: 13 MB
% 1.63/0.72 % (3061120)Instructions burned: 116 (million)
% 1.63/0.72 % (3061121)Instruction limit reached!
% 1.63/0.72 % (3061121)------------------------------
% 1.63/0.72 % (3061121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.72 % (3061121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.72 % (3061121)CaDiCaL version: 2.1.3
% 1.63/0.72 % (3061121)Termination reason: Instruction limit
% 1.63/0.72 % (3061121)Termination phase: Saturation
% 1.63/0.72 % (3061121)Time elapsed: 0.082 s
% 1.63/0.72 % (3061121)Peak memory usage: 13 MB
% 1.63/0.72 % (3061121)Instructions burned: 131 (million)
% 1.63/0.72 % (3061132)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=298082877:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.63/0.72 % TRYING [3]
% 1.63/0.72 % (3061133)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=3128839195:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.63/0.72 % (3061122)Instruction limit reached!
% 1.63/0.72 % (3061122)------------------------------
% 1.63/0.72 % (3061122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.72 % (3061122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.72 % (3061122)CaDiCaL version: 2.1.3
% 1.63/0.72 % (3061122)Termination reason: Instruction limit
% 1.63/0.72 % (3061122)Termination phase: Saturation
% 1.63/0.72 % (3061122)Time elapsed: 0.100 s
% 1.63/0.72 % (3061122)Peak memory usage: 13 MB
% 1.63/0.72 % (3061122)Instructions burned: 160 (million)
% 1.63/0.72 % TRYING [3]
% 1.63/0.72 % (3061136)ott-21_1_sil=16000:fs=off:random_seed=917696050:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.63/0.72 % (3061132)Instruction limit reached!
% 1.63/0.72 % (3061132)------------------------------
% 1.63/0.72 % (3061132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.72 % (3061132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.72 % (3061132)CaDiCaL version: 2.1.3
% 1.63/0.72 % (3061132)Termination reason: Instruction limit
% 1.63/0.72 % (3061132)Termination phase: Saturation
% 1.63/0.72 % (3061132)Time elapsed: 0.089 s
% 1.63/0.72 % (3061132)Peak memory usage: 14 MB
% 1.63/0.72 % (3061132)Instructions burned: 132 (million)
% 1.63/0.72 % (3061130)Instruction limit reached!
% 1.63/0.72 % (3061130)------------------------------
% 1.63/0.72 % (3061130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.72 % (3061130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.72 % (3061130)CaDiCaL version: 2.1.3
% 1.63/0.72 % (3061130)Termination reason: Instruction limit
% 1.63/0.72 % (3061130)Termination phase: Finite model building constraint generation
% 1.63/0.72 % (3061130)Time elapsed: 0.156 s
% 1.63/0.72 % (3061130)Peak memory usage: 48 MB
% 1.63/0.72 % (3061130)Instructions burned: 717 (million)
% 1.63/0.72 % (3061138)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1018773747:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.63/0.72 % (3061140)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2539508519:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.63/0.72 % (3061136)Instruction limit reached!
% 1.63/0.72 % (3061136)------------------------------
% 1.63/0.72 % (3061136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.72 % (3061136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.72 % (3061136)CaDiCaL version: 2.1.3
% 1.63/0.72 % (3061136)Termination reason: Instruction limit
% 1.63/0.72 % (3061136)Termination phase: Saturation
% 1.63/0.72 % (3061136)Time elapsed: 0.096 s
% 1.63/0.72 % (3061136)Peak memory usage: 12 MB
% 1.63/0.72 % (3061136)Instructions burned: 180 (million)
% 1.63/0.72 % (3061117) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3061111-3061117"...
% 1.63/0.72 % (3061143)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2122830029:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.63/0.72 % (3061117)...printing done.
% 1.63/0.72 % (3061117)Refutation found. Thanks to Tanya!
% 1.63/0.72 % SZS status Unsatisfiable for theBenchmark
% 1.63/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.72 % (3061117)------------------------------
% 1.63/0.72 % (3061117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.72 % (3061117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.72 % (3061117)CaDiCaL version: 2.1.3
% 1.63/0.72 % (3061117)Termination reason: Refutation
% 1.63/0.72 % (3061117)Time elapsed: 0.236 s
% 1.63/0.72 % (3061117)Peak memory usage: 15 MB
% 1.63/0.72 % (3061117)Instructions burned: 384 (million)
% 1.63/0.72 % (3061111)Success in time 0.287 s
% 1.63/0.72 % Vampire exiting
%------------------------------------------------------------------------------