%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL789-1 : 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 : 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 11:56:36 AM UTC 2026
% Result : Unsatisfiable 1.98s 0.89s
% Output : Refutation 1.98s
% 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 : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-5 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f354,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_uT_0) ).
fof(f374,axiom,
v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_T_0) ).
fof(f387,negated_conjecture,
~ c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f447,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(superposition,[],[f387,f374]) ).
fof(f449,plain,
$false,
inference(forward_subsumption_resolution,[],[f447,f354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL789-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 16:50:05 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 1.98/0.89 % (2586015)Input is clausal, will run a generic CNF schedule.
% 1.98/0.89 % (2586021)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3547529358:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.98/0.89 % (2586024)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2869144946:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.98/0.89 % (2586020)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=504015668:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.98/0.89 % (2586023)lrs+10_1_sil=8000:sp=occurrence:random_seed=2482477409:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.98/0.89 % (2586022)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=173950667:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.98/0.89 % (2586024)First to succeed.
% 1.98/0.89 % (2586024)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2586015"
% 1.98/0.89 % (2586023)Also succeeded, but the first one will report.
% 1.98/0.89 % (2586025)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3737197929:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.98/0.89 % (2586026)dis-21_1_sil=8000:lcm=predicate:random_seed=2014362288: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)
% 1.98/0.89 % (2586025)Also succeeded, but the first one will report.
% 1.98/0.89 % (2586026)Instruction limit reached!
% 1.98/0.89 % (2586026)------------------------------
% 1.98/0.89 % (2586026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.98/0.89 % (2586026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.89 % (2586026)CaDiCaL version: 2.1.3
% 1.98/0.89 % (2586026)Termination reason: Instruction limit
% 1.98/0.89 % (2586026)Termination phase: Saturation
% 1.98/0.89 % (2586026)Time elapsed: 0.026 s
% 1.98/0.89 % (2586026)Peak memory usage: 88 MB
% 1.98/0.89 % (2586026)Instructions burned: 122 (million)
% 1.98/0.89 % (2586034)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=411648979:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 1.98/0.89 % (2586034)Refutation not found, incomplete strategy
% 1.98/0.89 % (2586034)------------------------------
% 1.98/0.89 % (2586034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.98/0.89 % (2586034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.89 % (2586034)CaDiCaL version: 2.1.3
% 1.98/0.89 % (2586034)Termination reason: Refutation not found, incomplete strategy
% 1.98/0.89 % (2586034)Time elapsed: 0.003 s
% 1.98/0.89 % (2586034)Peak memory usage: 88 MB
% 1.98/0.89 % (2586034)Instructions burned: 6 (million)
% 1.98/0.89 % (2586024)Refutation found. Thanks to Tanya!
% 1.98/0.89 % SZS status Unsatisfiable for theBenchmark
% 1.98/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 1.98/0.89 % (2586024)------------------------------
% 1.98/0.89 % (2586024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.98/0.89 % (2586024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.89 % (2586024)CaDiCaL version: 2.1.3
% 1.98/0.89 % (2586024)Termination reason: Refutation
% 1.98/0.89 % (2586024)Time elapsed: 0.005 s
% 1.98/0.89 % (2586024)Peak memory usage: 88 MB
% 1.98/0.89 % (2586024)Instructions burned: 11 (million)
% 1.98/0.89 % (2586024)------------------------------
% 1.98/0.89 % (2586024)------------------------------
% 1.98/0.89 % (2586015)Success in time 0.261 s
% 1.98/0.89 % Vampire exiting
%------------------------------------------------------------------------------