%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL813-1 : 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 : n009.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 11:56:42 AM UTC 2026
% Result : Unsatisfiable 0.17s 1.40s
% Output : Refutation 0.17s
% 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 : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-5 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1058,axiom,
! [X2,X3,X0,X1] : hAPP(c_Type_Oshift(X0,X1,X2,X3),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shift__eq_0) ).
fof(f1060,axiom,
! [X0,X1] : c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing_OVar_0) ).
fof(f1061,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1298,plain,
! [X2,X3,X0,X1] : c_Type_Otyping(c_Type_Oshift(X1,X2,X0,X3),c_Lambda_OdB_OVar(X2),X0),
inference(superposition,[],[f1060,f1058]) ).
fof(f1397,plain,
$false,
inference(resolution,[],[f1298,f1061]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL813-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 16:54:15 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.17/1.40 % (2249772)Input is clausal, will run a generic CNF schedule.
% 0.17/1.40 % (2249781)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=768170636:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.17/1.40 % (2249781)First to succeed.
% 0.17/1.40 % (2249781)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2249772"
% 0.17/1.40 % (2249779)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3542833443:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.17/1.40 % (2249778)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1842419593:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.17/1.40 % (2249780)lrs+10_1_sil=8000:sp=occurrence:random_seed=582458862:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.17/1.40 % (2249777)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=1107167131:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.17/1.40 % (2249783)dis-21_1_sil=8000:lcm=predicate:random_seed=3005889554: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)
% 0.17/1.40 % (2249782)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1598005176:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.17/1.40 % (2249780)Also succeeded, but the first one will report.
% 0.17/1.40 % (2249782)Also succeeded, but the first one will report.
% 0.17/1.40 % (2249783)Instruction limit reached!
% 0.17/1.40 % (2249783)------------------------------
% 0.17/1.40 % (2249783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.40 % (2249783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.40 % (2249783)CaDiCaL version: 2.1.3
% 0.17/1.40 % (2249783)Termination reason: Instruction limit
% 0.17/1.40 % (2249783)Termination phase: Saturation
% 0.17/1.40 % (2249783)Time elapsed: 0.069 s
% 0.17/1.40 % (2249783)Peak memory usage: 89 MB
% 0.17/1.40 % (2249783)Instructions burned: 118 (million)
% 0.17/1.40 % (2249781)Refutation found. Thanks to Tanya!
% 0.17/1.40 % SZS status Unsatisfiable for theBenchmark
% 0.17/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.40 % (2249781)------------------------------
% 0.17/1.40 % (2249781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.40 % (2249781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.40 % (2249781)CaDiCaL version: 2.1.3
% 0.17/1.40 % (2249781)Termination reason: Refutation
% 0.17/1.40 % (2249781)Time elapsed: 0.010 s
% 0.17/1.40 % (2249781)Peak memory usage: 89 MB
% 0.17/1.40 % (2249781)Instructions burned: 27 (million)
% 0.17/1.40 % (2249781)------------------------------
% 0.17/1.40 % (2249781)------------------------------
% 0.17/1.40 % (2249772)Success in time 0.343 s
% 0.17/1.40 % Vampire exiting
%------------------------------------------------------------------------------