%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL805-1 : 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 : n005.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 11:56:40 AM UTC 2026
% Result : Unsatisfiable 2.91s 1.42s
% Output : Refutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-5 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1041,axiom,
! [X0,X1] : c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listsp_ONil_0) ).
fof(f1043,axiom,
! [X2,X0,X1] : c_List_Omap(X0,c_List_Olist_ONil(X1),X1,X2) = c_List_Olist_ONil(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__is__Nil__conv_1) ).
fof(f1044,plain,
! [X2,X0,X1] : c_List_Olist_ONil(X2) = c_List_Omap(X0,c_List_Olist_ONil(X1),X1,X2),
inference(reorient_equations,[],[f1043]) ).
fof(f1048,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1330,plain,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
inference(superposition,[],[f1048,f1044]) ).
fof(f1331,plain,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
inference(superposition,[],[f1330,f1044]) ).
fof(f1332,plain,
$false,
inference(forward_subsumption_resolution,[],[f1331,f1041]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL805-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n005.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 16:53:17 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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
% 2.91/1.42 % (14655)Input is clausal, will run a generic CNF schedule.
% 2.91/1.42 % (14765)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2689675448:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.91/1.42 % (14765)First to succeed.
% 2.91/1.42 % (14765)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14655"
% 2.91/1.42 % (14763)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4054166065:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.91/1.42 % (14761)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=2496613494:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.91/1.42 % (14767)dis-21_1_sil=8000:lcm=predicate:random_seed=2800980385: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)
% 2.91/1.42 % (14766)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1905977116:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.91/1.42 % (14762)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4074454174:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.91/1.42 % (14766)Also succeeded, but the first one will report.
% 2.91/1.42 % (14764)lrs+10_1_sil=8000:sp=occurrence:random_seed=2943189632:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.91/1.42 % (14764)Also succeeded, but the first one will report.
% 2.91/1.42 % (14767)Instruction limit reached!
% 2.91/1.42 % (14767)------------------------------
% 2.91/1.42 % (14767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.42 % (14767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.42 % (14767)CaDiCaL version: 2.1.3
% 2.91/1.42 % (14767)Termination reason: Instruction limit
% 2.91/1.42 % (14767)Termination phase: Saturation
% 2.91/1.42 % (14767)Time elapsed: 0.069 s
% 2.91/1.42 % (14767)Peak memory usage: 89 MB
% 2.91/1.42 % (14767)Instructions burned: 117 (million)
% 2.91/1.42 % (14765)Refutation found. Thanks to Tanya!
% 2.91/1.42 % SZS status Unsatisfiable for theBenchmark
% 2.91/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 2.91/1.42 % (14765)------------------------------
% 2.91/1.42 % (14765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.42 % (14765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.42 % (14765)CaDiCaL version: 2.1.3
% 2.91/1.42 % (14765)Termination reason: Refutation
% 2.91/1.42 % (14765)Time elapsed: 0.010 s
% 2.91/1.42 % (14765)Peak memory usage: 89 MB
% 2.91/1.42 % (14765)Instructions burned: 30 (million)
% 2.91/1.42 % (14765)------------------------------
% 2.91/1.42 % (14765)------------------------------
% 2.91/1.42 % (14655)Success in time 0.351 s
% 2.91/1.42 % Vampire exiting
%------------------------------------------------------------------------------