%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL836-1 : 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 : n012.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 11:56:48 AM UTC 2026
% Result : Unsatisfiable 3.57s 1.16s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-5 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f548,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uT_0) ).
fof(f695,axiom,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X0),X1)))
| ~ c_Type_Otyping(X2,X0,v_T____)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| ~ c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SI1_0) ).
fof(f705,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f706,axiom,
c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
fof(f707,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f739,plain,
! [X0,X1] :
( ~ c_Type_Otyping(X0,v_u____,v_T____)
| ~ hBOOL(hAPP(c_InductTermi_OIT,v_u____))
| ~ c_Type_Otyping(c_Type_Oshift(X0,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
inference(resolution,[],[f707,f695]) ).
fof(f740,plain,
! [X0,X1] :
( ~ c_Type_Otyping(c_Type_Oshift(X0,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X1)
| ~ c_Type_Otyping(X0,v_u____,v_T____) ),
inference(forward_subsumption_resolution,[],[f739,f705]) ).
fof(f741,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(resolution,[],[f740,f706]) ).
fof(f742,plain,
$false,
inference(forward_subsumption_resolution,[],[f741,f548]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL836-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n012.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 16:58:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 Running first-order theorem proving
% 0.10/0.38 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
% 3.57/1.16 % (2591178)Input is clausal, will run a generic CNF schedule.
% 3.57/1.16 % (2591184)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1948788669:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.57/1.16 % (2591185)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4039847801:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.57/1.16 % (2591183)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=1133820026:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.57/1.16 % (2591188)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=574883373:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.57/1.16 % (2591187)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3507988445:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.57/1.16 % (2591186)lrs+10_1_sil=8000:sp=occurrence:random_seed=3203306528:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.57/1.16 % (2591189)dis-21_1_sil=8000:lcm=predicate:random_seed=2045413560: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)
% 3.57/1.16 % (2591186)Instruction limit reached!
% 3.57/1.16 % (2591186)------------------------------
% 3.57/1.16 % (2591186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.16 % (2591186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.16 % (2591186)CaDiCaL version: 2.1.3
% 3.57/1.16 % (2591186)Termination reason: Instruction limit
% 3.57/1.16 % (2591186)Termination phase: Saturation
% 3.57/1.16 % (2591186)Time elapsed: 0.037 s
% 3.57/1.16 % (2591186)Peak memory usage: 88 MB
% 3.57/1.16 % (2591186)Instructions burned: 110 (million)
% 3.57/1.16 % (2591189)Instruction limit reached!
% 3.57/1.16 % (2591189)------------------------------
% 3.57/1.16 % (2591189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.16 % (2591189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.16 % (2591189)CaDiCaL version: 2.1.3
% 3.57/1.16 % (2591189)Termination reason: Instruction limit
% 3.57/1.16 % (2591189)Termination phase: Saturation
% 3.57/1.16 % (2591189)Time elapsed: 0.038 s
% 3.57/1.16 % (2591189)Peak memory usage: 89 MB
% 3.57/1.16 % (2591189)Instructions burned: 119 (million)
% 3.57/1.16 % (2591187)Instruction limit reached!
% 3.57/1.16 % (2591187)------------------------------
% 3.57/1.16 % (2591187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.16 % (2591187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.16 % (2591187)CaDiCaL version: 2.1.3
% 3.57/1.16 % (2591187)Termination reason: Instruction limit
% 3.57/1.16 % (2591187)Termination phase: Saturation
% 3.57/1.16 % (2591187)Time elapsed: 0.039 s
% 3.57/1.16 % (2591187)Peak memory usage: 89 MB
% 3.57/1.16 % (2591187)Instructions burned: 114 (million)
% 3.57/1.16 % (2591188)Instruction limit reached!
% 3.57/1.16 % (2591188)------------------------------
% 3.57/1.16 % (2591188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.16 % (2591188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.16 % (2591188)CaDiCaL version: 2.1.3
% 3.57/1.16 % (2591188)Termination reason: Instruction limit
% 3.57/1.16 % (2591188)Termination phase: Saturation
% 3.57/1.16 % (2591188)Time elapsed: 0.058 s
% 3.57/1.16 % (2591188)Peak memory usage: 89 MB
% 3.57/1.16 % (2591188)Instructions burned: 181 (million)
% 3.57/1.16 % (2591197)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=4255439098:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.57/1.16 % (2591199)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1076371558:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 3.57/1.16 % (2591198)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3545801390:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 3.57/1.16 % (2591197)First to succeed.
% 3.57/1.16 % (2591197)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2591178"
% 3.57/1.16 % (2591199)Also succeeded, but the first one will report.
% 3.57/1.16 % (2591198)Also succeeded, but the first one will report.
% 3.57/1.16 % (2591200)lrs+10_64_to=lpo:sil=8000:random_seed=1941818276:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.57/1.16 % (2591200)Instruction limit reached!
% 3.57/1.16 % (2591200)------------------------------
% 3.57/1.16 % (2591200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.16 % (2591200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.16 % (2591200)CaDiCaL version: 2.1.3
% 3.57/1.16 % (2591200)Termination reason: Instruction limit
% 3.57/1.16 % (2591200)Termination phase: Saturation
% 3.57/1.16 % (2591200)Time elapsed: 0.044 s
% 3.57/1.16 % (2591200)Peak memory usage: 89 MB
% 3.57/1.16 % (2591200)Instructions burned: 129 (million)
% 3.57/1.16 % (2591197)Refutation found. Thanks to Tanya!
% 3.57/1.16 % SZS status Unsatisfiable for theBenchmark
% 3.57/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.16 % (2591197)------------------------------
% 3.57/1.16 % (2591197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.16 % (2591197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.16 % (2591197)CaDiCaL version: 2.1.3
% 3.57/1.16 % (2591197)Termination reason: Refutation
% 3.57/1.16 % (2591197)Time elapsed: 0.004 s
% 3.57/1.16 % (2591197)Peak memory usage: 88 MB
% 3.57/1.16 % (2591197)Instructions burned: 10 (million)
% 3.57/1.16 % (2591197)------------------------------
% 3.57/1.16 % (2591197)------------------------------
% 3.57/1.16 % (2591178)Success in time 0.48 s
% 3.57/1.16 % Vampire exiting
%------------------------------------------------------------------------------