%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL827-1 : 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 : n012.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 11:56:46 AM UTC 2026
% Result : Unsatisfiable 2.14s 12.31s
% Output : Refutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 9 unt; 2 def)
% Number of atoms : 23 ( 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(f432,axiom,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),v_sko__local__XCons__1__1(v_T____,v_a____,v_e____,v_i____))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons_I1_J_1) ).
fof(f437,axiom,
! [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_a____),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).
fof(f444,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f470,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_a____),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f471,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_a____),X0))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f473,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f477,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f444,f473]) ).
fof(f478,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f437,f473,f470]) ).
fof(f482,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f432,f471]) ).
fof(f483,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f482]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f477]) ).
cnf(s3,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f478]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f483]) ).
cnf(s5,plain,
spl0_2,
inference(rat,[],[s3,s4]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s2,s5]) ).
fof(f484,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL827-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/11.72 % Computer : n012.cluster.edu
% 0.04/11.72 % Model : x86_64 x86_64
% 0.04/11.72 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/11.72 % Memory : 8046.5625MB
% 0.04/11.72 % OS : Linux 6.8.0-71-generic
% 0.04/11.72 % CPULimit : 300
% 0.04/11.72 % WCLimit : 300
% 0.04/11.72 % DateTime : Sun Sep 27 16:57:02 UTC 2026
% 0.04/11.72 % CPUTime :
% 0.04/11.72 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/11.74 Running first-order theorem proving
% 0.04/11.74 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
% 2.14/12.31 % (2589033)Input is clausal, will run a generic CNF schedule.
% 2.14/12.31 % (2589042)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3358126974:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.14/12.31 % (2589039)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=998727642:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.14/12.31 % (2589038)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=522077098:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.14/12.31 % (2589041)lrs+10_1_sil=8000:sp=occurrence:random_seed=1248641347:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.14/12.31 % (2589040)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3705267387:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.14/12.31 % (2589044)dis-21_1_sil=8000:lcm=predicate:random_seed=1964508427: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)
% 2.14/12.31 % (2589043)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3252633286:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.14/12.31 % (2589043)First to succeed.
% 2.14/12.31 % (2589043)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2589033"
% 2.14/12.31 % (2589044)Instruction limit reached!
% 2.14/12.31 % (2589044)------------------------------
% 2.14/12.31 % (2589044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.14/12.31 % (2589044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/12.31 % (2589044)CaDiCaL version: 2.1.3
% 2.14/12.31 % (2589044)Termination reason: Instruction limit
% 2.14/12.31 % (2589044)Termination phase: Saturation
% 2.14/12.31 % (2589044)Time elapsed: 0.035 s
% 2.14/12.31 % (2589044)Peak memory usage: 88 MB
% 2.14/12.31 % (2589044)Instructions burned: 119 (million)
% 2.14/12.31 % (2589041)Instruction limit reached!
% 2.14/12.31 % (2589041)------------------------------
% 2.14/12.31 % (2589041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.14/12.31 % (2589041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/12.31 % (2589041)CaDiCaL version: 2.1.3
% 2.14/12.31 % (2589041)Termination reason: Instruction limit
% 2.14/12.31 % (2589041)Termination phase: Saturation
% 2.14/12.31 % (2589041)Time elapsed: 0.036 s
% 2.14/12.31 % (2589041)Peak memory usage: 89 MB
% 2.14/12.31 % (2589041)Instructions burned: 108 (million)
% 2.14/12.31 % (2589042)Instruction limit reached!
% 2.14/12.31 % (2589042)------------------------------
% 2.14/12.31 % (2589042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.14/12.31 % (2589042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/12.31 % (2589042)CaDiCaL version: 2.1.3
% 2.14/12.31 % (2589042)Termination reason: Instruction limit
% 2.14/12.31 % (2589042)Termination phase: Saturation
% 2.14/12.31 % (2589042)Time elapsed: 0.040 s
% 2.14/12.31 % (2589042)Peak memory usage: 89 MB
% 2.14/12.31 % (2589042)Instructions burned: 115 (million)
% 2.14/12.31 % (2589053)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1025502248:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 2.14/12.31 % (2589052)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=2360723282:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.14/12.31 % (2589052)Refutation not found, incomplete strategy
% 2.14/12.31 % (2589052)------------------------------
% 2.14/12.31 % (2589052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.14/12.31 % (2589052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/12.31 % (2589052)CaDiCaL version: 2.1.3
% 2.14/12.31 % (2589052)Termination reason: Refutation not found, incomplete strategy
% 2.14/12.31 % (2589052)Time elapsed: 0.005 s
% 2.14/12.31 % (2589052)Peak memory usage: 88 MB
% 2.14/12.31 % (2589052)Instructions burned: 14 (million)
% 2.14/12.31 % (2589053)Also succeeded, but the first one will report.
% 2.14/12.31 % (2589054)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1407333285:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 2.14/12.31 % (2589054)Refutation not found, incomplete strategy
% 2.14/12.31 % (2589054)------------------------------
% 2.14/12.31 % (2589054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.14/12.31 % (2589054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/12.31 % (2589054)CaDiCaL version: 2.1.3
% 2.14/12.31 % (2589054)Termination reason: Refutation not found, incomplete strategy
% 2.14/12.31 % (2589054)Time elapsed: 0.006 s
% 2.14/12.31 % (2589054)Peak memory usage: 88 MB
% 2.14/12.31 % (2589054)Instructions burned: 20 (million)
% 2.14/12.31 % (2589043)Refutation found. Thanks to Tanya!
% 2.14/12.31 % SZS status Unsatisfiable for theBenchmark
% 2.14/12.31 % SZS output start Proof for theBenchmark
% See solution above
% 2.14/12.31 % (2589043)------------------------------
% 2.14/12.31 % (2589043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.14/12.31 % (2589043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/12.31 % (2589043)CaDiCaL version: 2.1.3
% 2.14/12.31 % (2589043)Termination reason: Refutation
% 2.14/12.31 % (2589043)Time elapsed: 0.006 s
% 2.14/12.31 % (2589043)Peak memory usage: 90 MB
% 2.14/12.31 % (2589043)Instructions burned: 19 (million)
% 2.14/12.31 % (2589043)------------------------------
% 2.14/12.31 % (2589043)------------------------------
% 2.14/12.31 % (2589033)Success in time 0.277 s
% 2.14/12.31 % Vampire exiting
%------------------------------------------------------------------------------