%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL851-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 11:56:51 AM UTC 2026
% Result : Unsatisfiable 3.14s 1.44s
% Output : Refutation 3.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1083,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(f1087,axiom,
c_Type_Otyping(v_ea____,v_ta____,v_Ta____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_App_I3_J_0) ).
fof(f1088,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1142,plain,
~ c_Type_Otyping(v_ea____,v_ta____,v_Ta____),
inference(resolution,[],[f1083,f1088]) ).
fof(f1144,plain,
$false,
inference(forward_subsumption_resolution,[],[f1142,f1087]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL851-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:05:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.14/1.44 % (2851089)Input is clausal, will run a generic CNF schedule.
% 3.14/1.44 % (2851098)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3592024047:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.14/1.44 % (2851098)Instruction limit reached!
% 3.14/1.44 % (2851098)------------------------------
% 3.14/1.44 % (2851098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.44 % (2851098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.44 % (2851098)CaDiCaL version: 2.1.3
% 3.14/1.44 % (2851098)Termination reason: Instruction limit
% 3.14/1.44 % (2851098)Termination phase: Saturation
% 3.14/1.44 % (2851098)Time elapsed: 0.031 s
% 3.14/1.44 % (2851098)Peak memory usage: 88 MB
% 3.14/1.44 % (2851098)Instructions burned: 117 (million)
% 3.14/1.44 % (2851094)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=250995660:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.14/1.44 % (2851096)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3616137016:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.14/1.44 % (2851097)lrs+10_1_sil=8000:sp=occurrence:random_seed=4071115226:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.14/1.44 % (2851095)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3428363248:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.14/1.44 % (2851099)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3706282843:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.14/1.44 % (2851100)dis-21_1_sil=8000:lcm=predicate:random_seed=139947835:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.14/1.44 % (2851099)First to succeed.
% 3.14/1.44 % (2851099)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2851089"
% 3.14/1.44 % (2851097)Also succeeded, but the first one will report.
% 3.14/1.44 % (2851100)Also succeeded, but the first one will report.
% 3.14/1.44 % (2851106)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1214899400:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.14/1.44 % (2851106)Also succeeded, but the first one will report.
% 3.14/1.44 % (2851099)Refutation found. Thanks to Tanya!
% 3.14/1.44 % SZS status Unsatisfiable for theBenchmark
% 3.14/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 3.14/1.44 % (2851099)------------------------------
% 3.14/1.44 % (2851099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.44 % (2851099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.44 % (2851099)CaDiCaL version: 2.1.3
% 3.14/1.44 % (2851099)Termination reason: Refutation
% 3.14/1.44 % (2851099)Time elapsed: 0.011 s
% 3.14/1.44 % (2851099)Peak memory usage: 89 MB
% 3.14/1.44 % (2851099)Instructions burned: 40 (million)
% 3.14/1.44 % (2851099)------------------------------
% 3.14/1.44 % (2851099)------------------------------
% 3.14/1.44 % (2851089)Success in time 0.388 s
% 3.14/1.44 % Vampire exiting
%------------------------------------------------------------------------------