%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL856-1 : 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 : n001.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 11:56:51 AM UTC 2026
% Result : Unsatisfiable 3.51s 1.50s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f162,axiom,
! [X0] :
( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),X0,tc_Lambda_OdB)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IT__implies__termi_0) ).
fof(f194,axiom,
! [X2,X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,X0))
| ~ c_Type_Otyping(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_type__implies__IT_0) ).
fof(f196,negated_conjecture,
c_Type_Otyping(v_e,v_t,v_T),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f197,negated_conjecture,
~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f231,plain,
~ hBOOL(hAPP(c_InductTermi_OIT,v_t)),
inference(resolution,[],[f162,f197]) ).
fof(f233,plain,
! [X0,X1] : ~ c_Type_Otyping(X0,v_t,X1),
inference(resolution,[],[f231,f194]) ).
fof(f235,plain,
$false,
inference(resolution,[],[f233,f196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL856-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 % Computer : n001.cluster.edu
% 0.09/0.40 % Model : x86_64 x86_64
% 0.09/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.40 % Memory : 8046.5625MB
% 0.09/0.40 % OS : Linux 6.8.0-71-generic
% 0.09/0.40 % CPULimit : 300
% 0.09/0.40 % WCLimit : 300
% 0.09/0.40 % DateTime : Sun Sep 27 17:08:10 UTC 2026
% 0.09/0.40 % CPUTime :
% 0.09/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.44 Running first-order theorem proving
% 0.09/0.44 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
% 3.51/1.50 % (3800772)Input is clausal, will run a generic CNF schedule.
% 3.51/1.50 % (3800780)lrs+10_1_sil=8000:sp=occurrence:random_seed=311089973:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.51/1.50 % (3800779)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2376553214:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.51/1.50 % (3800780)Instruction limit reached!
% 3.51/1.50 % (3800780)------------------------------
% 3.51/1.50 % (3800780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.50 % (3800780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.50 % (3800780)CaDiCaL version: 2.1.3
% 3.51/1.50 % (3800780)Termination reason: Instruction limit
% 3.51/1.50 % (3800780)Termination phase: Saturation
% 3.51/1.50 % (3800780)Time elapsed: 0.035 s
% 3.51/1.50 % (3800780)Peak memory usage: 88 MB
% 3.51/1.50 % (3800780)Instructions burned: 109 (million)
% 3.51/1.50 % (3800778)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2242029516:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.51/1.50 % (3800777)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=4017724233:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.51/1.50 % (3800783)dis-21_1_sil=8000:lcm=predicate:random_seed=2852332654: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)
% 3.51/1.50 % (3800781)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=132379739:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.51/1.50 % (3800781)First to succeed.
% 3.51/1.50 % (3800781)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3800772"
% 3.51/1.50 % (3800782)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1948221992:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.51/1.50 % (3800783)Also succeeded, but the first one will report.
% 3.51/1.50 % (3800782)Also succeeded, but the first one will report.
% 3.51/1.50 % (3800786)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=1031628095:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.51/1.50 % (3800786)Also succeeded, but the first one will report.
% 3.51/1.50 % (3800781)Refutation found. Thanks to Tanya!
% 3.51/1.50 % SZS status Unsatisfiable for theBenchmark
% 3.51/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.50 % (3800781)------------------------------
% 3.51/1.50 % (3800781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.50 % (3800781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.50 % (3800781)CaDiCaL version: 2.1.3
% 3.51/1.50 % (3800781)Termination reason: Refutation
% 3.51/1.50 % (3800781)Time elapsed: 0.005 s
% 3.51/1.50 % (3800781)Peak memory usage: 88 MB
% 3.51/1.50 % (3800781)Instructions burned: 5 (million)
% 3.51/1.50 % (3800781)------------------------------
% 3.51/1.50 % (3800781)------------------------------
% 3.51/1.50 % (3800772)Success in time 0.427 s
% 3.51/1.50 % Vampire exiting
%------------------------------------------------------------------------------