%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL826-1 : 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 12:00:46 PM UTC 2026
% Result : Unsatisfiable 1.26s 0.64s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f427,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X2),X1),v_T____)),v_a____),X3))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X0),v_T____))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons_I1_J_0) ).
fof(f462,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_a____),v_xa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f463,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,v_xb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f464,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f465,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f5397,plain,
! [X0] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X0),v_xc)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),X0),v_T____)) ),
inference(resolution,[],[f427,f462]) ).
fof(f5408,plain,
( ~ hBOOL(hAPP(c_InductTermi_OIT,v_xb))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)) ),
inference(resolution,[],[f5397,f465]) ).
fof(f5409,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)),
inference(forward_subsumption_resolution,[],[f5408,f463]) ).
fof(f5410,plain,
$false,
inference(forward_subsumption_resolution,[],[f5409,f464]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL826-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 17:00:18 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.41 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
% 1.26/0.64 % (1856162)Will run a generic schedule for satisfiability detection.
% 1.26/0.64 % (1856167)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=387592196_2999 on theBenchmark for (2999ds/0Mi)
% 1.26/0.64 % (1856168)% WARNING: option uhcvi not known.
% 1.26/0.64 % (1856168)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1258223466:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.26/0.64 % (1856169)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1136561446:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.26/0.64 % (1856170)dis+10_1_sil=32000:sp=arity:random_seed=533825674:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.26/0.64 % (1856171)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1363010632:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.26/0.64 % (1856172)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4189309742:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.26/0.64 % (1856173)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3114078911:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.26/0.64 % TRYING [1]
% 1.26/0.64 % (1856170)Instruction limit reached!
% 1.26/0.64 % (1856170)------------------------------
% 1.26/0.64 % (1856170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.64 % (1856170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.64 % (1856170)CaDiCaL version: 2.1.3
% 1.26/0.64 % (1856170)Termination reason: Instruction limit
% 1.26/0.64 % (1856170)Termination phase: Saturation
% 1.26/0.64 % (1856170)Time elapsed: 0.062 s
% 1.26/0.64 % (1856170)Peak memory usage: 12 MB
% 1.26/0.64 % (1856170)Instructions burned: 103 (million)
% 1.26/0.64 % TRYING [2]
% 1.26/0.64 % (1856173)Instruction limit reached!
% 1.26/0.64 % (1856173)------------------------------
% 1.26/0.64 % (1856173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.64 % (1856173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.64 % (1856173)CaDiCaL version: 2.1.3
% 1.26/0.64 % (1856173)Termination reason: Instruction limit
% 1.26/0.64 % (1856173)Termination phase: Saturation
% 1.26/0.64 % (1856173)Time elapsed: 0.070 s
% 1.26/0.64 % (1856173)Peak memory usage: 13 MB
% 1.26/0.64 % (1856173)Instructions burned: 160 (million)
% 1.26/0.64 % (1856171)Instruction limit reached!
% 1.26/0.64 % (1856171)------------------------------
% 1.26/0.64 % (1856171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.64 % (1856171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.64 % (1856171)CaDiCaL version: 2.1.3
% 1.26/0.64 % (1856171)Termination reason: Instruction limit
% 1.26/0.64 % (1856171)Termination phase: Saturation
% 1.26/0.64 % (1856171)Time elapsed: 0.075 s
% 1.26/0.64 % (1856171)Peak memory usage: 13 MB
% 1.26/0.64 % (1856171)Instructions burned: 122 (million)
% 1.26/0.64 % (1856172)Instruction limit reached!
% 1.26/0.64 % (1856172)------------------------------
% 1.26/0.64 % (1856172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.64 % (1856172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.64 % (1856172)CaDiCaL version: 2.1.3
% 1.26/0.64 % (1856172)Termination reason: Instruction limit
% 1.26/0.64 % (1856172)Termination phase: Saturation
% 1.26/0.64 % (1856172)Time elapsed: 0.078 s
% 1.26/0.64 % (1856172)Peak memory usage: 13 MB
% 1.26/0.64 % (1856172)Instructions burned: 132 (million)
% 1.26/0.64 % (1856181)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1085291470:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.26/0.64 % (1856182)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1055092368:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.26/0.64 % (1856183)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=3491570472:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.26/0.64 % (1856184)ott-21_1_sil=16000:fs=off:random_seed=3143179676:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.26/0.64 % TRYING [3]
% 1.26/0.64 % (1856182)Instruction limit reached!
% 1.26/0.64 % (1856182)------------------------------
% 1.26/0.64 % (1856182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.64 % (1856182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.64 % (1856182)CaDiCaL version: 2.1.3
% 1.26/0.64 % (1856182)Termination reason: Instruction limit
% 1.26/0.64 % (1856182)Termination phase: Saturation
% 1.26/0.64 % (1856182)Time elapsed: 0.080 s
% 1.26/0.64 % (1856182)Peak memory usage: 13 MB
% 1.26/0.64 % (1856182)Instructions burned: 135 (million)
% 1.26/0.64 % (1856168) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1856162-1856168"...
% 1.26/0.64 % (1856168)...printing done.
% 1.26/0.64 % (1856168)Refutation found. Thanks to Tanya!
% 1.26/0.64 % SZS status Unsatisfiable for theBenchmark
% 1.26/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.64 % (1856168)------------------------------
% 1.26/0.64 % (1856168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.64 % (1856168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.64 % (1856168)CaDiCaL version: 2.1.3
% 1.26/0.64 % (1856168)Termination reason: Refutation
% 1.26/0.64 % (1856168)Time elapsed: 0.172 s
% 1.26/0.64 % (1856168)Peak memory usage: 14 MB
% 1.26/0.64 % (1856168)Instructions burned: 286 (million)
% 1.26/0.64 % (1856162)Success in time 0.225 s
% 1.26/0.64 % Vampire exiting
%------------------------------------------------------------------------------