%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL815-1 : 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 : n015.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 1.38s 0.76s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 10 unt; 0 def)
% Number of atoms : 14 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 13 con; 0-5 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f929,axiom,
v_n____ = v_i____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_True_0) ).
fof(f930,plain,
v_i____ = v_n____,
inference(reorient_equations,[],[f929]) ).
fof(f962,axiom,
! [X2,X3,X0,X1,X4] :
( c_Type_Otypings(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
| ~ c_Type_Otypings(X0,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift__types_0) ).
fof(f964,axiom,
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/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f965,negated_conjecture,
~ c_Type_Otypings(c_Type_Oshift(v_e____,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),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),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),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1133,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,[],[f964,f930]) ).
fof(f1134,plain,
~ c_Type_Otypings(c_Type_Oshift(v_e____,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),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),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),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
inference(definition_unfolding,[],[f965,f930]) ).
fof(f1423,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_Type_Otypings(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
| c_Type_Otypings(X0,X3,X4) ),
inference(consistent_polarity_flipping,[],[f962]) ).
fof(f1424,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,[],[f1133]) ).
fof(f1425,plain,
c_Type_Otypings(c_Type_Oshift(v_e____,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),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),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),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
inference(consistent_polarity_flipping,[],[f1134]) ).
fof(f9059,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(resolution,[],[f1423,f1425]) ).
fof(f9064,plain,
$false,
inference(forward_subsumption_resolution,[],[f1424,f9059]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL815-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n015.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 16:58:01 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 1.38/0.76 % (1853540)Will run a generic schedule for satisfiability detection.
% 1.38/0.76 % (1853547)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1292050491:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.38/0.76 % (1853546)% WARNING: option uhcvi not known.
% 1.38/0.76 % (1853545)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4264195969_2999 on theBenchmark for (2999ds/0Mi)
% 1.38/0.76 % (1853546)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2076120026:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.38/0.76 % (1853548)dis+10_1_sil=32000:sp=arity:random_seed=3909608927:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.38/0.76 % (1853549)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2844244725:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.38/0.76 % (1853550)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=161568082:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.38/0.76 % (1853551)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1200436242:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.38/0.76 % (1853548)Instruction limit reached!
% 1.38/0.76 % (1853548)------------------------------
% 1.38/0.76 % (1853548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.76 % (1853548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.76 % (1853548)CaDiCaL version: 2.1.3
% 1.38/0.76 % (1853548)Termination reason: Instruction limit
% 1.38/0.76 % (1853548)Termination phase: Saturation
% 1.38/0.76 % (1853548)Time elapsed: 0.065 s
% 1.38/0.76 % (1853548)Peak memory usage: 13 MB
% 1.38/0.76 % (1853548)Instructions burned: 103 (million)
% 1.38/0.76 % (1853549)Instruction limit reached!
% 1.38/0.76 % (1853549)------------------------------
% 1.38/0.76 % (1853549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.76 % (1853549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.76 % (1853549)CaDiCaL version: 2.1.3
% 1.38/0.76 % (1853549)Termination reason: Instruction limit
% 1.38/0.76 % (1853549)Termination phase: Saturation
% 1.38/0.76 % (1853549)Time elapsed: 0.072 s
% 1.38/0.76 % (1853549)Peak memory usage: 13 MB
% 1.38/0.76 % (1853549)Instructions burned: 116 (million)
% 1.38/0.76 % (1853559)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2519839337:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.38/0.76 % (1853550)Instruction limit reached!
% 1.38/0.76 % (1853550)------------------------------
% 1.38/0.76 % (1853550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.76 % (1853550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.76 % (1853550)CaDiCaL version: 2.1.3
% 1.38/0.76 % (1853550)Termination reason: Instruction limit
% 1.38/0.76 % (1853550)Termination phase: Saturation
% 1.38/0.76 % (1853550)Time elapsed: 0.088 s
% 1.38/0.76 % (1853550)Peak memory usage: 13 MB
% 1.38/0.76 % (1853550)Instructions burned: 131 (million)
% 1.38/0.76 % (1853560)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3172001316:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.38/0.76 % (1853562)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=1175312876:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.38/0.76 % (1853551)Instruction limit reached!
% 1.38/0.76 % (1853551)------------------------------
% 1.38/0.76 % (1853551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.76 % (1853551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.76 % (1853551)CaDiCaL version: 2.1.3
% 1.38/0.76 % (1853551)Termination reason: Instruction limit
% 1.38/0.76 % (1853551)Termination phase: Saturation
% 1.38/0.76 % (1853551)Time elapsed: 0.109 s
% 1.38/0.76 % (1853551)Peak memory usage: 14 MB
% 1.38/0.76 % (1853551)Instructions burned: 160 (million)
% 1.38/0.76 % (1853565)ott-21_1_sil=16000:fs=off:random_seed=1492804523:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.38/0.76 % TRYING [1]
% 1.38/0.76 % TRYING [2]
% 1.38/0.76 % (1853560)Instruction limit reached!
% 1.38/0.76 % (1853560)------------------------------
% 1.38/0.76 % (1853560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.76 % (1853560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.76 % (1853560)CaDiCaL version: 2.1.3
% 1.38/0.76 % (1853560)Termination reason: Instruction limit
% 1.38/0.76 % (1853560)Termination phase: Saturation
% 1.38/0.76 % (1853560)Time elapsed: 0.084 s
% 1.38/0.76 % (1853560)Peak memory usage: 14 MB
% 1.38/0.76 % (1853560)Instructions burned: 132 (million)
% 1.38/0.76 % (1853567)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=117012185:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.38/0.76 % (1853565)Instruction limit reached!
% 1.38/0.76 % (1853565)------------------------------
% 1.38/0.76 % (1853565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.76 % (1853565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.76 % (1853565)CaDiCaL version: 2.1.3
% 1.38/0.76 % (1853565)Termination reason: Instruction limit
% 1.38/0.76 % (1853565)Termination phase: Saturation
% 1.38/0.76 % (1853565)Time elapsed: 0.091 s
% 1.38/0.76 % (1853565)Peak memory usage: 13 MB
% 1.38/0.76 % (1853565)Instructions burned: 180 (million)
% 1.38/0.76 % (1853569)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3582482639:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.38/0.76 % TRYING [1]
% 1.38/0.76 % TRYING [2]
% 1.38/0.76 % TRYING [3]
% 1.38/0.76 % (1853546) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1853540-1853546"...
% 1.38/0.76 % (1853546)...printing done.
% 1.38/0.76 % (1853546)Refutation found. Thanks to Tanya!
% 1.38/0.76 % SZS status Unsatisfiable for theBenchmark
% 1.38/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.76 % (1853546)------------------------------
% 1.38/0.76 % (1853546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.76 % (1853546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.76 % (1853546)CaDiCaL version: 2.1.3
% 1.38/0.76 % (1853546)Termination reason: Refutation
% 1.38/0.76 % (1853546)Time elapsed: 0.267 s
% 1.38/0.76 % (1853546)Peak memory usage: 16 MB
% 1.38/0.76 % (1853546)Instructions burned: 423 (million)
% 1.38/0.76 % (1853540)Success in time 0.329 s
% 1.38/0.76 % Vampire exiting
%------------------------------------------------------------------------------