%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL838-1 : 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 : n002.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 11:56:48 AM UTC 2026
% Result : Unsatisfiable 3.87s 1.43s
% Output : Refutation 3.87s
% 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 : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-5 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f339,axiom,
! [X2,X3,X0,X1] :
( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2)
| c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__app__typeD_0) ).
fof(f489,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_T_0) ).
fof(f493,axiom,
! [X0] :
( v_thesis____
| ~ 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____),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
fof(f511,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f537,definition,
( spl0_1
<=> ! [X0] : ~ 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____),X0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f538,plain,
( ! [X0] : ~ 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____),X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f540,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f544,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f511,f540]) ).
fof(f545,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f493,f540,f537]) ).
fof(f841,plain,
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____),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(v_T_H____,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_as____),v_T_H____,tc_Type_Otype,tc_Type_Otype)),
inference(resolution,[],[f339,f489]) ).
fof(f845,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f841,f538]) ).
fof(f846,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f845]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f544]) ).
cnf(s3,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f545]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f846]) ).
cnf(s5,plain,
spl0_2,
inference(rat,[],[s3,s4]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s2,s5]) ).
fof(f847,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL838-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:01:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 3.87/1.42 % (3739427)Input is clausal, will run a generic CNF schedule.
% 3.87/1.42 % (3739435)lrs+10_1_sil=8000:sp=occurrence:random_seed=3998745136:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.87/1.42 % (3739434)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3423211117:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.87/1.42 % (3739433)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2130423998:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.87/1.42 % (3739432)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=2565568062:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.87/1.42 % (3739435)Instruction limit reached!
% 3.87/1.42 % (3739435)------------------------------
% 3.87/1.42 % (3739435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.42 % (3739435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.43 % (3739435)CaDiCaL version: 2.1.3
% 3.87/1.43 % (3739435)Termination reason: Instruction limit
% 3.87/1.43 % (3739435)Termination phase: Saturation
% 3.87/1.43 % (3739435)Time elapsed: 0.038 s
% 3.87/1.43 % (3739435)Peak memory usage: 89 MB
% 3.87/1.43 % (3739435)Instructions burned: 109 (million)
% 3.87/1.43 % (3739438)dis-21_1_sil=8000:lcm=predicate:random_seed=788975801: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)
% 3.87/1.43 % (3739436)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1530076369:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.87/1.43 % (3739437)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2066468566:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.87/1.43 % (3739437)First to succeed.
% 3.87/1.43 % (3739437)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3739427"
% 3.87/1.43 % (3739438)Instruction limit reached!
% 3.87/1.43 % (3739438)------------------------------
% 3.87/1.43 % (3739438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.43 % (3739438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.43 % (3739438)CaDiCaL version: 2.1.3
% 3.87/1.43 % (3739438)Termination reason: Instruction limit
% 3.87/1.43 % (3739438)Termination phase: Saturation
% 3.87/1.43 % (3739438)Time elapsed: 0.068 s
% 3.87/1.43 % (3739438)Peak memory usage: 89 MB
% 3.87/1.43 % (3739438)Instructions burned: 117 (million)
% 3.87/1.43 % (3739436)Instruction limit reached!
% 3.87/1.43 % (3739436)------------------------------
% 3.87/1.43 % (3739436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.43 % (3739436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.43 % (3739436)CaDiCaL version: 2.1.3
% 3.87/1.43 % (3739436)Termination reason: Instruction limit
% 3.87/1.43 % (3739436)Termination phase: Saturation
% 3.87/1.43 % (3739436)Time elapsed: 0.075 s
% 3.87/1.43 % (3739436)Peak memory usage: 89 MB
% 3.87/1.43 % (3739436)Instructions burned: 115 (million)
% 3.87/1.43 % (3739443)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=3190196332:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.87/1.43 % (3739443)Refutation not found, incomplete strategy
% 3.87/1.43 % (3739443)------------------------------
% 3.87/1.43 % (3739443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.43 % (3739443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.43 % (3739443)CaDiCaL version: 2.1.3
% 3.87/1.43 % (3739443)Termination reason: Refutation not found, incomplete strategy
% 3.87/1.43 % (3739443)Time elapsed: 0.004 s
% 3.87/1.43 % (3739443)Peak memory usage: 88 MB
% 3.87/1.43 % (3739443)Instructions burned: 10 (million)
% 3.87/1.43 % (3739447)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=770608433: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)
% 3.87/1.43 % (3739448)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=706083470:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.87/1.43 % (3739448)Refutation not found, incomplete strategy
% 3.87/1.43 % (3739448)------------------------------
% 3.87/1.43 % (3739448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.43 % (3739448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.43 % (3739448)CaDiCaL version: 2.1.3
% 3.87/1.43 % (3739448)Termination reason: Refutation not found, incomplete strategy
% 3.87/1.43 % (3739448)Time elapsed: 0.010 s
% 3.87/1.43 % (3739448)Peak memory usage: 88 MB
% 3.87/1.43 % (3739448)Instructions burned: 16 (million)
% 3.87/1.43 % (3739443)------------------------------
% 3.87/1.43 % (3739443)------------------------------
% 3.87/1.43 % (3739447)Also succeeded, but the first one will report.
% 3.87/1.43 % (3739437)Refutation found. Thanks to Tanya!
% 3.87/1.43 % SZS status Unsatisfiable for theBenchmark
% 3.87/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 3.87/1.43 % (3739437)------------------------------
% 3.87/1.43 % (3739437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.43 % (3739437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.43 % (3739437)CaDiCaL version: 2.1.3
% 3.87/1.43 % (3739437)Termination reason: Refutation
% 3.87/1.43 % (3739437)Time elapsed: 0.029 s
% 3.87/1.43 % (3739437)Peak memory usage: 90 MB
% 3.87/1.43 % (3739437)Instructions burned: 43 (million)
% 3.87/1.43 % (3739437)------------------------------
% 3.87/1.43 % (3739437)------------------------------
% 3.87/1.43 % (3739427)Success in time 0.487 s
% 3.87/1.43 % Vampire exiting
%------------------------------------------------------------------------------