%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL852-1 : 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 11:56:51 AM UTC 2026
% Result : Unsatisfiable 0.18s 1.51s
% Output : Refutation 0.18s
% 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 : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f674,axiom,
! [X2,X3,X0,X1,X4] :
( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
| ~ c_Type_Otyping(X0,X2,X4)
| ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing_OApp_0) ).
fof(f684,axiom,
c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f685,axiom,
c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f686,negated_conjecture,
~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f715,plain,
! [X0] :
( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,X0),v_U____))
| ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),X0) ),
inference(resolution,[],[f686,f674]) ).
fof(f723,plain,
~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____),
inference(resolution,[],[f715,f685]) ).
fof(f725,plain,
$false,
inference(forward_subsumption_resolution,[],[f723,f684]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL852-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n020.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 17:01:34 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 0.18/1.51 % (3610426)Input is clausal, will run a generic CNF schedule.
% 0.18/1.51 % (3610434)lrs+10_1_sil=8000:sp=occurrence:random_seed=1367432809:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.18/1.51 % (3610432)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2719311890:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.18/1.51 % (3610435)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1173281435:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/1.51 % (3610433)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=149832579:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/1.51 % (3610431)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=637017982:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.18/1.51 % (3610437)dis-21_1_sil=8000:lcm=predicate:random_seed=3643972699: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)
% 0.18/1.51 % (3610436)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3539042887:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.18/1.51 % (3610435)Instruction limit reached!
% 0.18/1.51 % (3610435)------------------------------
% 0.18/1.51 % (3610435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (3610435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (3610435)CaDiCaL version: 2.1.3
% 0.18/1.51 % (3610435)Termination reason: Instruction limit
% 0.18/1.51 % (3610435)Termination phase: Saturation
% 0.18/1.51 % (3610435)Time elapsed: 0.052 s
% 0.18/1.51 % (3610435)Peak memory usage: 88 MB
% 0.18/1.51 % (3610435)Instructions burned: 114 (million)
% 0.18/1.51 % (3610437)Instruction limit reached!
% 0.18/1.51 % (3610437)------------------------------
% 0.18/1.51 % (3610437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (3610437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (3610437)CaDiCaL version: 2.1.3
% 0.18/1.51 % (3610437)Termination reason: Instruction limit
% 0.18/1.51 % (3610437)Termination phase: Saturation
% 0.18/1.51 % (3610437)Time elapsed: 0.068 s
% 0.18/1.51 % (3610437)Peak memory usage: 89 MB
% 0.18/1.51 % (3610437)Instructions burned: 117 (million)
% 0.18/1.51 % (3610434)Instruction limit reached!
% 0.18/1.51 % (3610434)------------------------------
% 0.18/1.51 % (3610434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (3610434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (3610434)CaDiCaL version: 2.1.3
% 0.18/1.51 % (3610434)Termination reason: Instruction limit
% 0.18/1.51 % (3610434)Termination phase: Saturation
% 0.18/1.51 % (3610434)Time elapsed: 0.069 s
% 0.18/1.51 % (3610434)Peak memory usage: 88 MB
% 0.18/1.51 % (3610434)Instructions burned: 107 (million)
% 0.18/1.51 % (3610436)Instruction limit reached!
% 0.18/1.51 % (3610436)------------------------------
% 0.18/1.51 % (3610436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (3610436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (3610436)CaDiCaL version: 2.1.3
% 0.18/1.51 % (3610436)Termination reason: Instruction limit
% 0.18/1.51 % (3610436)Termination phase: Saturation
% 0.18/1.51 % (3610436)Time elapsed: 0.065 s
% 0.18/1.51 % (3610436)Peak memory usage: 90 MB
% 0.18/1.51 % (3610436)Instructions burned: 182 (million)
% 0.18/1.51 % (3610448)lrs+10_64_to=lpo:sil=8000:random_seed=2681008122:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 0.18/1.51 % (3610445)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=481355802:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.18/1.51 % (3610445)Refutation not found, incomplete strategy
% 0.18/1.51 % (3610445)------------------------------
% 0.18/1.51 % (3610445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (3610445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (3610445)CaDiCaL version: 2.1.3
% 0.18/1.51 % (3610445)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.51 % (3610445)Time elapsed: 0.008 s
% 0.18/1.51 % (3610445)Peak memory usage: 88 MB
% 0.18/1.51 % (3610445)Instructions burned: 11 (million)
% 0.18/1.51 % (3610448)Instruction limit reached!
% 0.18/1.51 % (3610448)------------------------------
% 0.18/1.51 % (3610448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (3610446)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=846203363: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)
% 0.18/1.51 % (3610447)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3861179644:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.18/1.51 % (3610448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (3610448)CaDiCaL version: 2.1.3
% 0.18/1.51 % (3610448)Termination reason: Instruction limit
% 0.18/1.51 % (3610448)Termination phase: Saturation
% 0.18/1.51 % (3610448)Time elapsed: 0.042 s
% 0.18/1.51 % (3610448)Peak memory usage: 89 MB
% 0.18/1.51 % (3610448)Instructions burned: 128 (million)
% 0.18/1.51 % (3610447)First to succeed.
% 0.18/1.51 % (3610447)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3610426"
% 0.18/1.51 % (3610446)Also succeeded, but the first one will report.
% 0.18/1.51 % (3610453)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=418602228:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 0.18/1.51 % (3610453)Instruction limit reached!
% 0.18/1.51 % (3610453)------------------------------
% 0.18/1.51 % (3610453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (3610453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (3610453)CaDiCaL version: 2.1.3
% 0.18/1.51 % (3610453)Termination reason: Instruction limit
% 0.18/1.51 % (3610453)Termination phase: Saturation
% 0.18/1.51 % (3610453)Time elapsed: 0.066 s
% 0.18/1.51 % (3610453)Peak memory usage: 90 MB
% 0.18/1.51 % (3610453)Instructions burned: 196 (million)
% 0.18/1.51 % (3610445)------------------------------
% 0.18/1.51 % (3610445)------------------------------
% 0.18/1.51 % (3610447)Refutation found. Thanks to Tanya!
% 0.18/1.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.51 % (3610447)------------------------------
% 0.18/1.51 % (3610447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (3610447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (3610447)CaDiCaL version: 2.1.3
% 0.18/1.51 % (3610447)Termination reason: Refutation
% 0.18/1.51 % (3610447)Time elapsed: 0.012 s
% 0.18/1.51 % (3610447)Peak memory usage: 88 MB
% 0.18/1.51 % (3610447)Instructions burned: 19 (million)
% 0.18/1.51 % (3610447)------------------------------
% 0.18/1.51 % (3610447)------------------------------
% 0.18/1.51 % (3610426)Success in time 0.682 s
% 0.18/1.51 % Vampire exiting
%------------------------------------------------------------------------------