%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL839-1 : 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 : 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 11:56:49 AM UTC 2026
% Result : Unsatisfiable 3.75s 1.52s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 10 unt; 2 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 6 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f163,axiom,
! [X2,X3,X0,X1] :
( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2)
| c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_typing__elims_I2_J_1) ).
fof(f436,axiom,
! [X0] :
( v_thesis____
| ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
fof(f439,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_Ua____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f440,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f466,definition,
( spl0_1
<=> ! [X0] : ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f467,plain,
( ! [X0] : ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f469,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f473,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f440,f469]) ).
fof(f474,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f436,f469,f466]) ).
fof(f477,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,c_Type_Osko__Type__Xtyping__elims__2__1(v_Ua____,c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OAbs(v_r____),v_a____)),
inference(resolution,[],[f163,f439]) ).
fof(f478,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f477,f467]) ).
fof(f479,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f478]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f473]) ).
cnf(s3,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f474]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f479]) ).
cnf(s5,plain,
spl0_2,
inference(rat,[],[s3,s4]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s2,s5]) ).
fof(f480,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL839-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n016.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 17:03:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.75/1.52 % (2847448)Input is clausal, will run a generic CNF schedule.
% 3.75/1.52 % (2847493)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=836153724:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.75/1.52 % (2847492)lrs+10_1_sil=8000:sp=occurrence:random_seed=3726048933:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.75/1.52 % (2847487)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=465061910:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.75/1.52 % (2847490)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1893881373:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.75/1.52 % (2847489)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3405240076:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.75/1.52 % (2847493)Instruction limit reached!
% 3.75/1.52 % (2847493)------------------------------
% 3.75/1.52 % (2847493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.52 % (2847493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.52 % (2847493)CaDiCaL version: 2.1.3
% 3.75/1.52 % (2847493)Termination reason: Instruction limit
% 3.75/1.52 % (2847493)Termination phase: Saturation
% 3.75/1.52 % (2847493)Time elapsed: 0.042 s
% 3.75/1.52 % (2847493)Peak memory usage: 89 MB
% 3.75/1.52 % (2847493)Instructions burned: 116 (million)
% 3.75/1.52 % (2847497)dis-21_1_sil=8000:lcm=predicate:random_seed=4153951746: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)
% 3.75/1.52 % (2847495)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=604073462:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.75/1.52 % (2847495)First to succeed.
% 3.75/1.52 % (2847495)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2847448"
% 3.75/1.52 % (2847492)Instruction limit reached!
% 3.75/1.52 % (2847492)------------------------------
% 3.75/1.52 % (2847492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.52 % (2847492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.52 % (2847492)CaDiCaL version: 2.1.3
% 3.75/1.52 % (2847492)Termination reason: Instruction limit
% 3.75/1.52 % (2847492)Termination phase: Saturation
% 3.75/1.52 % (2847492)Time elapsed: 0.071 s
% 3.75/1.52 % (2847492)Peak memory usage: 88 MB
% 3.75/1.52 % (2847492)Instructions burned: 108 (million)
% 3.75/1.52 % (2847497)Instruction limit reached!
% 3.75/1.52 % (2847497)------------------------------
% 3.75/1.52 % (2847497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.52 % (2847497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.52 % (2847497)CaDiCaL version: 2.1.3
% 3.75/1.52 % (2847497)Termination reason: Instruction limit
% 3.75/1.52 % (2847497)Termination phase: Saturation
% 3.75/1.52 % (2847497)Time elapsed: 0.071 s
% 3.75/1.52 % (2847497)Peak memory usage: 89 MB
% 3.75/1.52 % (2847497)Instructions burned: 118 (million)
% 3.75/1.52 % (2847561)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=1746068959:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.75/1.52 % (2847561)Refutation not found, incomplete strategy
% 3.75/1.52 % (2847561)------------------------------
% 3.75/1.52 % (2847561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.52 % (2847561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.52 % (2847561)CaDiCaL version: 2.1.3
% 3.75/1.52 % (2847561)Termination reason: Refutation not found, incomplete strategy
% 3.75/1.52 % (2847561)Time elapsed: 0.004 s
% 3.75/1.52 % (2847561)Peak memory usage: 88 MB
% 3.75/1.52 % (2847561)Instructions burned: 10 (million)
% 3.75/1.52 % (2847576)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4213309079:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.75/1.52 % (2847582)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3141616023:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.75/1.52 % (2847582)Refutation not found, incomplete strategy
% 3.75/1.52 % (2847582)------------------------------
% 3.75/1.52 % (2847582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.52 % (2847582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.52 % (2847582)CaDiCaL version: 2.1.3
% 3.75/1.52 % (2847582)Termination reason: Refutation not found, incomplete strategy
% 3.75/1.52 % (2847582)Time elapsed: 0.009 s
% 3.75/1.52 % (2847582)Peak memory usage: 88 MB
% 3.75/1.52 % (2847582)Instructions burned: 14 (million)
% 3.75/1.52 % (2847495)Refutation found. Thanks to Tanya!
% 3.75/1.52 % SZS status Unsatisfiable for theBenchmark
% 3.75/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 3.75/1.52 % (2847495)------------------------------
% 3.75/1.52 % (2847495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.52 % (2847495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.52 % (2847495)CaDiCaL version: 2.1.3
% 3.75/1.52 % (2847495)Termination reason: Refutation
% 3.75/1.52 % (2847495)Time elapsed: 0.010 s
% 3.75/1.52 % (2847495)Peak memory usage: 89 MB
% 3.75/1.52 % (2847495)Instructions burned: 15 (million)
% 3.75/1.52 % (2847495)------------------------------
% 3.75/1.52 % (2847495)------------------------------
% 3.75/1.52 % (2847448)Success in time 0.447 s
% 3.75/1.52 % Vampire exiting
%------------------------------------------------------------------------------