%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL795-1 : 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 : n020.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 11:56:37 AM UTC 2026
% Result : Unsatisfiable 3.83s 1.57s
% Output : Refutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 6 unt; 0 def)
% Number of atoms : 8 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 4 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-5 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1034,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uT_0) ).
fof(f1036,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/sandbox/benchmark/theBenchmark.p',cls_T_0) ).
fof(f1037,axiom,
! [X2,X3,X0,X1,X4] :
( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
| ~ c_Type_Otyping(X0,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift__type_0) ).
fof(f1042,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),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/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1087,plain,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),v_T____),
inference(superposition,[],[f1042,f1036]) ).
fof(f1093,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(resolution,[],[f1037,f1087]) ).
fof(f1094,plain,
$false,
inference(forward_subsumption_resolution,[],[f1093,f1034]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL795-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n020.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 16:53:04 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.83/1.57 % (3603627)Input is clausal, will run a generic CNF schedule.
% 3.83/1.57 % (3603636)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=954132754:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.83/1.57 % (3603635)lrs+10_1_sil=8000:sp=occurrence:random_seed=2646077073:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.83/1.57 % (3603637)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2559939863:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.83/1.57 % (3603632)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=4056398297:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.83/1.57 % (3603638)dis-21_1_sil=8000:lcm=predicate:random_seed=4052824702: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)
% 3.83/1.57 % (3603634)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3672636620:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.83/1.57 % (3603633)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2592938638:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.83/1.57 % (3603636)Instruction limit reached!
% 3.83/1.57 % (3603636)------------------------------
% 3.83/1.57 % (3603636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.57 % (3603636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.57 % (3603636)CaDiCaL version: 2.1.3
% 3.83/1.57 % (3603636)Termination reason: Instruction limit
% 3.83/1.57 % (3603636)Termination phase: Saturation
% 3.83/1.57 % (3603636)Time elapsed: 0.031 s
% 3.83/1.57 % (3603636)Peak memory usage: 88 MB
% 3.83/1.57 % (3603636)Instructions burned: 120 (million)
% 3.83/1.57 % (3603637)First to succeed.
% 3.83/1.57 % (3603637)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3603627"
% 3.83/1.57 % (3603638)Also succeeded, but the first one will report.
% 3.83/1.57 % (3603635)Also succeeded, but the first one will report.
% 3.83/1.57 % (3603646)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=3143636627:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.83/1.57 % (3603646)Also succeeded, but the first one will report.
% 3.83/1.57 % (3603637)Refutation found. Thanks to Tanya!
% 3.83/1.57 % SZS status Unsatisfiable for theBenchmark
% 3.83/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 3.83/1.57 % (3603637)------------------------------
% 3.83/1.57 % (3603637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.57 % (3603637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.57 % (3603637)CaDiCaL version: 2.1.3
% 3.83/1.57 % (3603637)Termination reason: Refutation
% 3.83/1.57 % (3603637)Time elapsed: 0.019 s
% 3.83/1.57 % (3603637)Peak memory usage: 89 MB
% 3.83/1.57 % (3603637)Instructions burned: 38 (million)
% 3.83/1.57 % (3603637)------------------------------
% 3.83/1.57 % (3603637)------------------------------
% 3.83/1.57 % (3603627)Success in time 0.489 s
% 3.83/1.57 % Vampire exiting
%------------------------------------------------------------------------------