%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL834-1 : 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 : n015.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 11:56:47 AM UTC 2026
% Result : Unsatisfiable 3.94s 1.53s
% Output : Refutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-5 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f572,axiom,
! [X0,X1] : hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_beta_0) ).
fof(f573,axiom,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_apps__preserves__beta_0) ).
fof(f583,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,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)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1329,plain,
~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____)),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)))),
inference(resolution,[],[f573,f583]) ).
fof(f1339,plain,
$false,
inference(forward_subsumption_resolution,[],[f1329,f572]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL834-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n015.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 17:01:46 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 Running first-order theorem proving
% 0.11/0.39 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
% 3.94/1.53 % (1857481)Input is clausal, will run a generic CNF schedule.
% 3.94/1.53 % (1857488)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3635262501:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.94/1.53 % (1857486)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=2154110359:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.94/1.53 % (1857492)dis-21_1_sil=8000:lcm=predicate:random_seed=3437338906: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)
% 3.94/1.53 % (1857489)lrs+10_1_sil=8000:sp=occurrence:random_seed=339367182:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.94/1.53 % (1857487)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2623358522:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.94/1.53 % (1857490)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2500812495:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.94/1.53 % (1857491)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4220742071:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.94/1.53 % (1857490)First to succeed.
% 3.94/1.53 % (1857490)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1857481"
% 3.94/1.53 % (1857492)Instruction limit reached!
% 3.94/1.53 % (1857492)------------------------------
% 3.94/1.53 % (1857492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.53 % (1857492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.53 % (1857492)CaDiCaL version: 2.1.3
% 3.94/1.53 % (1857492)Termination reason: Instruction limit
% 3.94/1.53 % (1857492)Termination phase: Saturation
% 3.94/1.53 % (1857492)Time elapsed: 0.051 s
% 3.94/1.53 % (1857492)Peak memory usage: 88 MB
% 3.94/1.53 % (1857492)Instructions burned: 118 (million)
% 3.94/1.53 % (1857489)Instruction limit reached!
% 3.94/1.53 % (1857489)------------------------------
% 3.94/1.53 % (1857489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.53 % (1857489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.53 % (1857489)CaDiCaL version: 2.1.3
% 3.94/1.53 % (1857489)Termination reason: Instruction limit
% 3.94/1.53 % (1857489)Termination phase: Saturation
% 3.94/1.53 % (1857489)Time elapsed: 0.068 s
% 3.94/1.53 % (1857489)Peak memory usage: 89 MB
% 3.94/1.53 % (1857489)Instructions burned: 107 (million)
% 3.94/1.53 % (1857491)Instruction limit reached!
% 3.94/1.53 % (1857491)------------------------------
% 3.94/1.53 % (1857491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.53 % (1857491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.53 % (1857491)CaDiCaL version: 2.1.3
% 3.94/1.53 % (1857491)Termination reason: Instruction limit
% 3.94/1.53 % (1857491)Termination phase: Saturation
% 3.94/1.53 % (1857491)Time elapsed: 0.121 s
% 3.94/1.53 % (1857491)Peak memory usage: 89 MB
% 3.94/1.53 % (1857491)Instructions burned: 180 (million)
% 3.94/1.53 % (1857500)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=1215619881:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.94/1.53 % (1857500)Refutation not found, incomplete strategy
% 3.94/1.53 % (1857500)------------------------------
% 3.94/1.53 % (1857500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.53 % (1857500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.53 % (1857500)CaDiCaL version: 2.1.3
% 3.94/1.53 % (1857500)Termination reason: Refutation not found, incomplete strategy
% 3.94/1.53 % (1857500)Time elapsed: 0.007 s
% 3.94/1.53 % (1857500)Peak memory usage: 88 MB
% 3.94/1.53 % (1857500)Instructions burned: 10 (million)
% 3.94/1.53 % (1857501)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3893671215: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)
% 3.94/1.53 % (1857501)Also succeeded, but the first one will report.
% 3.94/1.53 % (1857502)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=330552616:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 3.94/1.53 % (1857490)Refutation found. Thanks to Tanya!
% 3.94/1.53 % SZS status Unsatisfiable for theBenchmark
% 3.94/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 3.94/1.53 % (1857490)------------------------------
% 3.94/1.53 % (1857490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.53 % (1857490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.53 % (1857490)CaDiCaL version: 2.1.3
% 3.94/1.53 % (1857490)Termination reason: Refutation
% 3.94/1.53 % (1857490)Time elapsed: 0.037 s
% 3.94/1.53 % (1857490)Peak memory usage: 88 MB
% 3.94/1.53 % (1857490)Instructions burned: 52 (million)
% 3.94/1.53 % (1857490)------------------------------
% 3.94/1.53 % (1857490)------------------------------
% 3.94/1.53 % (1857481)Success in time 0.487 s
% 3.94/1.53 % Vampire exiting
%------------------------------------------------------------------------------