%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL807-1 : 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 : n003.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 11:56:40 AM UTC 2026
% Result : Unsatisfiable 4.64s 1.65s
% Output : Refutation 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 8 unt; 2 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 5 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-4 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f278,axiom,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_b____),v_sko__local__XCons__Xhyps__1__1(v_T____,v_b____,v_e____,v_i____))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons_Ohyps_I1_J_1) ).
fof(f291,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f292,negated_conjecture,
! [X0] :
( v_thesis____
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_b____),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f317,definition,
( spl0_1
<=> ! [X0] : ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_b____),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f318,plain,
( ! [X0] : ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_b____),X0))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f320,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f324,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f292,f320,f317]) ).
fof(f325,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f291,f320]) ).
fof(f369,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f278,f318]) ).
fof(f370,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f369]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f324]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f325]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f370]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s3,s4]) ).
fof(f371,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL807-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n003.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 16:54:56 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 4.64/1.65 % (778147)Input is clausal, will run a generic CNF schedule.
% 4.64/1.65 % (778233)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=204772226:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.64/1.65 % (778234)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3431768745:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.64/1.65 % (778232)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=1076946630:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.64/1.65 % (778235)lrs+10_1_sil=8000:sp=occurrence:random_seed=4049197074:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.64/1.65 % (778238)dis-21_1_sil=8000:lcm=predicate:random_seed=1371982635: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)
% 4.64/1.65 % (778237)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2975010435:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.64/1.65 % (778235)First to succeed.
% 4.64/1.65 % (778235)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-778147"
% 4.64/1.65 % (778237)Also succeeded, but the first one will report.
% 4.64/1.65 % (778236)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=681466271:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.64/1.65 % (778238)Also succeeded, but the first one will report.
% 4.64/1.65 % (778236)Instruction limit reached!
% 4.64/1.65 % (778236)------------------------------
% 4.64/1.65 % (778236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.65 % (778236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.65 % (778236)CaDiCaL version: 2.1.3
% 4.64/1.65 % (778236)Termination reason: Instruction limit
% 4.64/1.65 % (778236)Termination phase: Saturation
% 4.64/1.65 % (778236)Time elapsed: 0.098 s
% 4.64/1.65 % (778236)Peak memory usage: 89 MB
% 4.64/1.65 % (778236)Instructions burned: 114 (million)
% 4.64/1.65 % (778235)Refutation found. Thanks to Tanya!
% 4.64/1.65 % SZS status Unsatisfiable for theBenchmark
% 4.64/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 4.64/1.65 % (778235)------------------------------
% 4.64/1.65 % (778235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.65 % (778235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.65 % (778235)CaDiCaL version: 2.1.3
% 4.64/1.65 % (778235)Termination reason: Refutation
% 4.64/1.65 % (778235)Time elapsed: 0.007 s
% 4.64/1.65 % (778235)Peak memory usage: 89 MB
% 4.64/1.65 % (778235)Instructions burned: 8 (million)
% 4.64/1.65 % (778235)------------------------------
% 4.64/1.65 % (778235)------------------------------
% 4.64/1.65 % (778147)Success in time 0.586 s
% 4.64/1.65 % Vampire exiting
%------------------------------------------------------------------------------