%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL788-1 : 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 : n003.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 3.73s 1.51s
% Output : Refutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 11 unt; 0 def)
% Number of atoms : 13 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f261,axiom,
! [X2,X0,X1] :
( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2)
| hAPP(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing__elims_I1_J_0) ).
fof(f263,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(f308,axiom,
! [X2,X3,X0,X1,X4,X5] : c_List_Ofoldr(X0,c_List_Olist_OCons(X1,X2,X3),X4,X3,X5) = hAPP(hAPP(X0,X1),c_List_Ofoldr(X0,X2,X4,X3,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldr_Osimps_I2_J_0) ).
fof(f312,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),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_varT_0) ).
fof(f321,axiom,
v_n____ = v_i____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f323,negated_conjecture,
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_conjecture_0) ).
fof(f328,plain,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),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))),
inference(definition_unfolding,[],[f312,f321]) ).
fof(f336,plain,
v_T____ != c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype),
inference(forward_demodulation,[],[f323,f308]) ).
fof(f475,plain,
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)) = hAPP(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_i____),
inference(resolution,[],[f328,f261]) ).
fof(f476,plain,
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)),
inference(forward_demodulation,[],[f475,f263]) ).
fof(f477,plain,
v_T____ = c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype),
inference(forward_demodulation,[],[f476,f308]) ).
fof(f478,plain,
$false,
inference(forward_subsumption_resolution,[],[f477,f336]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL788-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 16:52:26 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 3.73/1.51 % (774968)Input is clausal, will run a generic CNF schedule.
% 3.73/1.51 % (774973)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=2740413593:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.73/1.51 % (774979)dis-21_1_sil=8000:lcm=predicate:random_seed=2252993964: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)
% 3.73/1.51 % (774976)lrs+10_1_sil=8000:sp=occurrence:random_seed=323626461:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.73/1.51 % (774975)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4117901036:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.73/1.51 % (774974)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3062499478:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.73/1.51 % (774977)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3757126909:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.73/1.51 % (774978)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3624879770:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.73/1.51 % (774976)First to succeed.
% 3.73/1.51 % (774976)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-774968"
% 3.73/1.51 % (774978)Also succeeded, but the first one will report.
% 3.73/1.51 % (774979)Instruction limit reached!
% 3.73/1.51 % (774979)------------------------------
% 3.73/1.51 % (774979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.51 % (774979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.51 % (774979)CaDiCaL version: 2.1.3
% 3.73/1.51 % (774979)Termination reason: Instruction limit
% 3.73/1.51 % (774979)Termination phase: Saturation
% 3.73/1.51 % (774979)Time elapsed: 0.067 s
% 3.73/1.51 % (774979)Peak memory usage: 89 MB
% 3.73/1.51 % (774979)Instructions burned: 118 (million)
% 3.73/1.51 % (774977)Instruction limit reached!
% 3.73/1.51 % (774977)------------------------------
% 3.73/1.51 % (774977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.51 % (774977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.51 % (774977)CaDiCaL version: 2.1.3
% 3.73/1.51 % (774977)Termination reason: Instruction limit
% 3.73/1.51 % (774977)Termination phase: Saturation
% 3.73/1.51 % (774977)Time elapsed: 0.072 s
% 3.73/1.51 % (774977)Peak memory usage: 88 MB
% 3.73/1.51 % (774977)Instructions burned: 115 (million)
% 3.73/1.51 % (774987)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=1927829510:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.73/1.51 % (774988)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1617127761:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.73/1.51 % (774987)Refutation not found, incomplete strategy
% 3.73/1.51 % (774987)------------------------------
% 3.73/1.51 % (774987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.51 % (774987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.51 % (774987)CaDiCaL version: 2.1.3
% 3.73/1.51 % (774987)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.51 % (774987)Time elapsed: 0.005 s
% 3.73/1.51 % (774987)Peak memory usage: 88 MB
% 3.73/1.51 % (774987)Instructions burned: 7 (million)
% 3.73/1.51 % (774976)Refutation found. Thanks to Tanya!
% 3.73/1.51 % SZS status Unsatisfiable for theBenchmark
% 3.73/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 3.73/1.51 % (774976)------------------------------
% 3.73/1.51 % (774976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.51 % (774976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.51 % (774976)CaDiCaL version: 2.1.3
% 3.73/1.51 % (774976)Termination reason: Refutation
% 3.73/1.51 % (774976)Time elapsed: 0.010 s
% 3.73/1.51 % (774976)Peak memory usage: 88 MB
% 3.73/1.51 % (774976)Instructions burned: 13 (million)
% 3.73/1.51 % (774976)------------------------------
% 3.73/1.51 % (774976)------------------------------
% 3.73/1.51 % (774968)Success in time 0.439 s
% 3.73/1.51 % Vampire exiting
%------------------------------------------------------------------------------