%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL814-1 : 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 : 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 11:56:42 AM UTC 2026
% Result : Unsatisfiable 5.36s 1.77s
% Output : Refutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-4 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f731,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uT_0) ).
fof(f763,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_Type_Otypings(X0,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X1),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
| ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4)
| ~ c_Type_Otyping(X0,X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_substs__lemma_0) ).
fof(f777,axiom,
c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f779,negated_conjecture,
~ c_Type_Otypings(v_e____,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f834,plain,
! [X0] :
( ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,X0,tc_Type_Otype),v_as____,v_Ts____)
| ~ c_Type_Otyping(v_e____,v_u____,X0) ),
inference(resolution,[],[f779,f763]) ).
fof(f836,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(resolution,[],[f834,f777]) ).
fof(f837,plain,
$false,
inference(forward_subsumption_resolution,[],[f836,f731]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL814-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n001.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 17:00:31 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 5.36/1.77 % (3792836)Input is clausal, will run a generic CNF schedule.
% 5.36/1.77 % (3792842)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2145363946:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.36/1.77 % (3792845)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2112934621:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.36/1.77 % (3792846)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3319376610:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.36/1.77 % (3792843)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3842034243:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.36/1.77 % (3792841)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=3279759518:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.36/1.77 % (3792844)lrs+10_1_sil=8000:sp=occurrence:random_seed=2396191520:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.36/1.77 % (3792847)dis-21_1_sil=8000:lcm=predicate:random_seed=1725774610: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)
% 5.36/1.77 % (3792844)Instruction limit reached!
% 5.36/1.77 % (3792844)------------------------------
% 5.36/1.77 % (3792844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3792844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3792844)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3792844)Termination reason: Instruction limit
% 5.36/1.77 % (3792844)Termination phase: Saturation
% 5.36/1.77 % (3792844)Time elapsed: 0.068 s
% 5.36/1.77 % (3792844)Peak memory usage: 88 MB
% 5.36/1.77 % (3792844)Instructions burned: 108 (million)
% 5.36/1.77 % (3792847)Instruction limit reached!
% 5.36/1.77 % (3792847)------------------------------
% 5.36/1.77 % (3792847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3792847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3792847)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3792847)Termination reason: Instruction limit
% 5.36/1.77 % (3792847)Termination phase: Saturation
% 5.36/1.77 % (3792847)Time elapsed: 0.068 s
% 5.36/1.77 % (3792847)Peak memory usage: 89 MB
% 5.36/1.77 % (3792847)Instructions burned: 118 (million)
% 5.36/1.77 % (3792845)Instruction limit reached!
% 5.36/1.77 % (3792845)------------------------------
% 5.36/1.77 % (3792845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3792845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3792845)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3792845)Termination reason: Instruction limit
% 5.36/1.77 % (3792845)Termination phase: Saturation
% 5.36/1.77 % (3792845)Time elapsed: 0.075 s
% 5.36/1.77 % (3792845)Peak memory usage: 89 MB
% 5.36/1.77 % (3792845)Instructions burned: 114 (million)
% 5.36/1.77 % (3792846)Instruction limit reached!
% 5.36/1.77 % (3792846)------------------------------
% 5.36/1.77 % (3792846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3792846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3792846)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3792846)Termination reason: Instruction limit
% 5.36/1.77 % (3792846)Termination phase: Saturation
% 5.36/1.77 % (3792846)Time elapsed: 0.123 s
% 5.36/1.77 % (3792846)Peak memory usage: 89 MB
% 5.36/1.77 % (3792846)Instructions burned: 180 (million)
% 5.36/1.77 % (3792856)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=487925944: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)
% 5.36/1.77 % (3792855)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=373795281:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.36/1.77 % (3792857)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1363891213:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.36/1.77 % (3792855)Refutation not found, incomplete strategy
% 5.36/1.77 % (3792855)------------------------------
% 5.36/1.77 % (3792855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3792855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3792855)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3792855)Termination reason: Refutation not found, incomplete strategy
% 5.36/1.77 % (3792855)Time elapsed: 0.011 s
% 5.36/1.77 % (3792855)Peak memory usage: 88 MB
% 5.36/1.77 % (3792855)Instructions burned: 16 (million)
% 5.36/1.77 % (3792857)First to succeed.
% 5.36/1.77 % (3792857)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3792836"
% 5.36/1.77 % (3792856)Also succeeded, but the first one will report.
% 5.36/1.77 % (3792858)lrs+10_64_to=lpo:sil=8000:random_seed=4027968378:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.36/1.77 % (3792858)Instruction limit reached!
% 5.36/1.77 % (3792858)------------------------------
% 5.36/1.77 % (3792858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3792858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3792858)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3792858)Termination reason: Instruction limit
% 5.36/1.77 % (3792858)Termination phase: Saturation
% 5.36/1.77 % (3792858)Time elapsed: 0.078 s
% 5.36/1.77 % (3792858)Peak memory usage: 89 MB
% 5.36/1.77 % (3792858)Instructions burned: 126 (million)
% 5.36/1.77 % (3792842)Also succeeded, but the first one will report.
% 5.36/1.77 % (3792855)------------------------------
% 5.36/1.77 % (3792855)------------------------------
% 5.36/1.77 % (3792857)Refutation found. Thanks to Tanya!
% 5.36/1.77 % SZS status Unsatisfiable for theBenchmark
% 5.36/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 5.36/1.77 % (3792857)------------------------------
% 5.36/1.77 % (3792857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.77 % (3792857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.77 % (3792857)CaDiCaL version: 2.1.3
% 5.36/1.77 % (3792857)Termination reason: Refutation
% 5.36/1.77 % (3792857)Time elapsed: 0.016 s
% 5.36/1.77 % (3792857)Peak memory usage: 88 MB
% 5.36/1.77 % (3792857)Instructions burned: 25 (million)
% 5.36/1.77 % (3792857)------------------------------
% 5.36/1.77 % (3792857)------------------------------
% 5.36/1.77 % (3792836)Success in time 0.697 s
% 5.36/1.77 % Vampire exiting
%------------------------------------------------------------------------------