%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL817-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 11:56:43 AM UTC 2026
% Result : Unsatisfiable 0.16s 1.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-4 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f312,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_uT_0) ).
fof(f317,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_argT_0) ).
fof(f325,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_Type_Otyping(X0,c_Lambda_Osubst(X4,X1,X3),X5)
| ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
| ~ c_Type_Otyping(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__lemma_0) ).
fof(f328,negated_conjecture,
~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f378,plain,
! [X0] :
( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,X0,tc_Type_Otype),v_a____,v_T_H_H____)
| ~ c_Type_Otyping(v_e____,v_u____,X0) ),
inference(resolution,[],[f325,f328]) ).
fof(f381,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(resolution,[],[f378,f317]) ).
fof(f382,plain,
$false,
inference(forward_subsumption_resolution,[],[f381,f312]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL817-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n019.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 16:55:04 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/1.51 % (3263660)Input is clausal, will run a generic CNF schedule.
% 0.16/1.51 % (3263667)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=94334732:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.16/1.51 % (3263671)dis-21_1_sil=8000:lcm=predicate:random_seed=2195843270: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)
% 0.16/1.51 % (3263669)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1414381534:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.16/1.51 % (3263670)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2538512053:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.16/1.51 % (3263665)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=1047046669:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.16/1.51 % (3263668)lrs+10_1_sil=8000:sp=occurrence:random_seed=3360234778:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.16/1.51 % (3263666)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2215731784:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.16/1.51 % (3263670)First to succeed.
% 0.16/1.51 % (3263670)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3263660"
% 0.16/1.51 % (3263668)Also succeeded, but the first one will report.
% 0.16/1.51 % (3263669)Also succeeded, but the first one will report.
% 0.16/1.51 % (3263671)Instruction limit reached!
% 0.16/1.51 % (3263671)------------------------------
% 0.16/1.51 % (3263671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.51 % (3263671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.51 % (3263671)CaDiCaL version: 2.1.3
% 0.16/1.51 % (3263671)Termination reason: Instruction limit
% 0.16/1.51 % (3263671)Termination phase: Saturation
% 0.16/1.51 % (3263671)Time elapsed: 0.049 s
% 0.16/1.51 % (3263671)Peak memory usage: 88 MB
% 0.16/1.51 % (3263671)Instructions burned: 118 (million)
% 0.16/1.51 % (3263679)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=1614647016:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.16/1.51 % (3263679)Refutation not found, incomplete strategy
% 0.16/1.51 % (3263679)------------------------------
% 0.16/1.51 % (3263679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.51 % (3263679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.51 % (3263679)CaDiCaL version: 2.1.3
% 0.16/1.51 % (3263679)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.51 % (3263679)Time elapsed: 0.006 s
% 0.16/1.51 % (3263679)Peak memory usage: 88 MB
% 0.16/1.51 % (3263679)Instructions burned: 8 (million)
% 0.16/1.51 % (3263670)Refutation found. Thanks to Tanya!
% 0.16/1.51 % SZS status Unsatisfiable for theBenchmark
% 0.16/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.51 % (3263670)------------------------------
% 0.16/1.51 % (3263670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.51 % (3263670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.51 % (3263670)CaDiCaL version: 2.1.3
% 0.16/1.51 % (3263670)Termination reason: Refutation
% 0.16/1.51 % (3263670)Time elapsed: 0.010 s
% 0.16/1.51 % (3263670)Peak memory usage: 88 MB
% 0.16/1.51 % (3263670)Instructions burned: 15 (million)
% 0.16/1.51 % (3263670)------------------------------
% 0.16/1.51 % (3263670)------------------------------
% 0.16/1.51 % (3263660)Success in time 0.446 s
% 0.16/1.51 % Vampire exiting
%------------------------------------------------------------------------------