%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL814-1 : 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 : n005.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 12:00:42 PM UTC 2026
% Result : Unsatisfiable 1.68s 0.79s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 11 unt; 0 def)
% Number of atoms : 19 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-4 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f731,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_uT_0) ).
fof(f744,axiom,
v_n____ = v_i____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_True_0) ).
fof(f745,plain,
v_i____ = v_n____,
inference(reorient_equations,[],[f744]) ).
fof(f753,axiom,
c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_argsT_0) ).
fof(f763,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_Type_Otypings(X0,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X1),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
| ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4)
| ~ c_Type_Otyping(X0,X1,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_substs__lemma_0) ).
fof(f779,negated_conjecture,
~ c_Type_Otypings(v_e____,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f894,plain,
c_Type_Otypings(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_as____,v_Ts____),
inference(definition_unfolding,[],[f753,f745]) ).
fof(f896,plain,
~ c_Type_Otypings(v_e____,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
inference(definition_unfolding,[],[f779,f745]) ).
fof(f1142,plain,
~ c_Type_Otypings(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_as____,v_Ts____),
inference(consistent_polarity_flipping,[],[f894]) ).
fof(f1144,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_Type_Otypings(X0,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X1),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
| c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4)
| ~ c_Type_Otyping(X0,X1,X5) ),
inference(consistent_polarity_flipping,[],[f763]) ).
fof(f1148,plain,
c_Type_Otypings(v_e____,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_n____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
inference(consistent_polarity_flipping,[],[f896]) ).
fof(f10013,plain,
! [X0] :
( c_Type_Otypings(c_Type_Oshift(v_e____,v_n____,X0,tc_Type_Otype),v_as____,v_Ts____)
| ~ c_Type_Otyping(v_e____,v_u____,X0) ),
inference(resolution,[],[f1144,f1148]) ).
fof(f10025,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(resolution,[],[f10013,f1142]) ).
fof(f10026,plain,
$false,
inference(forward_subsumption_resolution,[],[f10025,f731]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL814-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 16:54:33 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 1.68/0.79 % (16826)Will run a generic schedule for satisfiability detection.
% 1.68/0.79 % (16834)dis+10_1_sil=32000:sp=arity:random_seed=3817377440:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.68/0.79 % (16832)% WARNING: option uhcvi not known.
% 1.68/0.79 % (16831)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=30216995_2999 on theBenchmark for (2999ds/0Mi)
% 1.68/0.79 % (16832)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1694517197:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.68/0.79 % (16833)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3340159703:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.68/0.79 % (16835)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3937452208:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.68/0.79 % (16836)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1032481878:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.68/0.79 % (16837)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=512243654:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.68/0.79 % (16834)Instruction limit reached!
% 1.68/0.79 % (16834)------------------------------
% 1.68/0.79 % (16834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.79 % (16834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.79 % (16834)CaDiCaL version: 2.1.3
% 1.68/0.79 % (16834)Termination reason: Instruction limit
% 1.68/0.79 % (16834)Termination phase: Saturation
% 1.68/0.79 % (16834)Time elapsed: 0.037 s
% 1.68/0.79 % (16834)Peak memory usage: 12 MB
% 1.68/0.79 % (16834)Instructions burned: 106 (million)
% 1.68/0.79 % (16845)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=373891224:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.68/0.79 % (16835)Instruction limit reached!
% 1.68/0.79 % (16835)------------------------------
% 1.68/0.79 % (16835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.79 % (16835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.79 % (16835)CaDiCaL version: 2.1.3
% 1.68/0.79 % (16835)Termination reason: Instruction limit
% 1.68/0.79 % (16835)Termination phase: Saturation
% 1.68/0.79 % (16835)Time elapsed: 0.072 s
% 1.68/0.79 % (16835)Peak memory usage: 13 MB
% 1.68/0.79 % (16835)Instructions burned: 117 (million)
% 1.68/0.79 % (16836)Instruction limit reached!
% 1.68/0.79 % (16836)------------------------------
% 1.68/0.79 % (16836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.79 % (16836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.79 % (16836)CaDiCaL version: 2.1.3
% 1.68/0.79 % (16836)Termination reason: Instruction limit
% 1.68/0.79 % (16836)Termination phase: Saturation
% 1.68/0.79 % (16836)Time elapsed: 0.084 s
% 1.68/0.79 % (16836)Peak memory usage: 13 MB
% 1.68/0.79 % (16836)Instructions burned: 131 (million)
% 1.68/0.79 % (16847)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=325159553:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.68/0.79 % (16837)Instruction limit reached!
% 1.68/0.79 % (16837)------------------------------
% 1.68/0.79 % (16837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.79 % (16837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.79 % (16837)CaDiCaL version: 2.1.3
% 1.68/0.79 % (16837)Termination reason: Instruction limit
% 1.68/0.79 % (16837)Termination phase: Saturation
% 1.68/0.79 % (16837)Time elapsed: 0.100 s
% 1.68/0.79 % (16837)Peak memory usage: 13 MB
% 1.68/0.79 % (16837)Instructions burned: 160 (million)
% 1.68/0.79 % (16848)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=1018763359:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.68/0.79 % TRYING [1]
% 1.68/0.79 % (16850)ott-21_1_sil=16000:fs=off:random_seed=4237132935:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.68/0.79 % TRYING [2]
% 1.68/0.79 % TRYING [1]
% 1.68/0.79 % TRYING [2]
% 1.68/0.79 % TRYING [3]
% 1.68/0.79 % (16847)Instruction limit reached!
% 1.68/0.79 % (16847)------------------------------
% 1.68/0.79 % (16847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.79 % (16847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.79 % (16847)CaDiCaL version: 2.1.3
% 1.68/0.79 % (16847)Termination reason: Instruction limit
% 1.68/0.79 % (16847)Termination phase: Saturation
% 1.68/0.79 % (16847)Time elapsed: 0.085 s
% 1.68/0.79 % (16847)Peak memory usage: 13 MB
% 1.68/0.79 % (16847)Instructions burned: 132 (million)
% 1.68/0.79 % (16853)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3293569009:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.68/0.79 % (16845)Instruction limit reached!
% 1.68/0.79 % (16845)------------------------------
% 1.68/0.79 % (16845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.79 % (16845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.79 % (16845)CaDiCaL version: 2.1.3
% 1.68/0.79 % (16845)Termination reason: Instruction limit
% 1.68/0.79 % (16845)Termination phase: Finite model building constraint generation
% 1.68/0.79 % (16845)Time elapsed: 0.161 s
% 1.68/0.79 % (16845)Peak memory usage: 31 MB
% 1.68/0.79 % (16845)Instructions burned: 715 (million)
% 1.68/0.79 % (16855)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2263004170:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.68/0.79 % (16850)Instruction limit reached!
% 1.68/0.79 % (16850)------------------------------
% 1.68/0.79 % (16850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.79 % (16850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.79 % (16850)CaDiCaL version: 2.1.3
% 1.68/0.79 % (16850)Termination reason: Instruction limit
% 1.68/0.79 % (16850)Termination phase: Saturation
% 1.68/0.79 % (16850)Time elapsed: 0.095 s
% 1.68/0.79 % (16850)Peak memory usage: 13 MB
% 1.68/0.79 % (16850)Instructions burned: 181 (million)
% 1.68/0.79 % (16857)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3425883310:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.68/0.79 % TRYING [3]
% 1.68/0.79 % TRYING [1]
% 1.68/0.79 % TRYING [2]
% 1.68/0.79 % (16832) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-16826-16832"...
% 1.68/0.79 % (16832)...printing done.
% 1.68/0.79 % (16832)Refutation found. Thanks to Tanya!
% 1.68/0.79 % SZS status Unsatisfiable for theBenchmark
% 1.68/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.79 % (16832)------------------------------
% 1.68/0.79 % (16832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.68/0.79 % (16832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/0.79 % (16832)CaDiCaL version: 2.1.3
% 1.68/0.79 % (16832)Termination reason: Refutation
% 1.68/0.79 % (16832)Time elapsed: 0.308 s
% 1.68/0.79 % (16832)Peak memory usage: 16 MB
% 1.68/0.79 % (16832)Instructions burned: 485 (million)
% 1.68/0.79 % (16826)Success in time 0.368 s
% 1.68/0.79 % Vampire exiting
%------------------------------------------------------------------------------