%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL762-1 : 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 11:56:29 AM UTC 2026
% Result : Unsatisfiable 3.62s 1.43s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-5 aty)
% Number of variables : 1 ( 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f506,axiom,
! [X0] : c_Lambda_OdB_OVar(X0) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Var__eq__apps__conv_2) ).
fof(f511,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f512,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f534,plain,
hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n))),
inference(forward_demodulation,[],[f511,f506]) ).
fof(f535,plain,
$false,
inference(forward_subsumption_resolution,[],[f534,f512]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL762-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n002.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 16:48:37 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.45 Running first-order theorem proving
% 0.14/0.45 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
% 3.62/1.43 % (3730203)Input is clausal, will run a generic CNF schedule.
% 3.62/1.43 % (3730209)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=953926898:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.62/1.43 % (3730215)dis-21_1_sil=8000:lcm=predicate:random_seed=107006620: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)
% 3.62/1.43 % (3730213)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3467616055:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.62/1.43 % (3730211)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2660231907:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.62/1.43 % (3730212)lrs+10_1_sil=8000:sp=occurrence:random_seed=389013343:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.62/1.43 % (3730210)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2860689855:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.62/1.43 % (3730214)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3438268866:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.62/1.43 % (3730212)First to succeed.
% 3.62/1.43 % (3730212)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3730203"
% 3.62/1.43 % (3730213)Also succeeded, but the first one will report.
% 3.62/1.43 % (3730214)Also succeeded, but the first one will report.
% 3.62/1.43 % (3730215)Instruction limit reached!
% 3.62/1.43 % (3730215)------------------------------
% 3.62/1.43 % (3730215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.43 % (3730215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.43 % (3730215)CaDiCaL version: 2.1.3
% 3.62/1.43 % (3730215)Termination reason: Instruction limit
% 3.62/1.43 % (3730215)Termination phase: Saturation
% 3.62/1.43 % (3730215)Time elapsed: 0.069 s
% 3.62/1.43 % (3730215)Peak memory usage: 89 MB
% 3.62/1.43 % (3730215)Instructions burned: 118 (million)
% 3.62/1.43 % (3730223)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=2366299882:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.62/1.43 % (3730223)Also succeeded, but the first one will report.
% 3.62/1.43 % (3730212)Refutation found. Thanks to Tanya!
% 3.62/1.43 % SZS status Unsatisfiable for theBenchmark
% 3.62/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 3.62/1.43 % (3730212)------------------------------
% 3.62/1.43 % (3730212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.43 % (3730212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.43 % (3730212)CaDiCaL version: 2.1.3
% 3.62/1.43 % (3730212)Termination reason: Refutation
% 3.62/1.43 % (3730212)Time elapsed: 0.003 s
% 3.62/1.43 % (3730212)Peak memory usage: 88 MB
% 3.62/1.43 % (3730212)Instructions burned: 3 (million)
% 3.62/1.43 % (3730212)------------------------------
% 3.62/1.43 % (3730212)------------------------------
% 3.62/1.43 % (3730203)Success in time 0.446 s
% 3.62/1.43 % Vampire exiting
%------------------------------------------------------------------------------