%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL806-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 11:56:40 AM UTC 2026
% Result : Unsatisfiable 2.61s 1.34s
% Output : Refutation 2.61s
% 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 : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f425,axiom,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),X0),X1)))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X0),v_T____))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X2),X1),v_T____)),v_b____),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons_I1_J_0) ).
fof(f460,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_b____),v_xa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f461,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,v_xb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f462,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f463,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),v_xc))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f682,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),v_xb),v_T____))
| ~ hBOOL(hAPP(c_InductTermi_OIT,v_xb))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),v_xc),v_T____)),v_b____),X1)) ),
inference(resolution,[],[f425,f463]) ).
fof(f685,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),v_xb),v_T____))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),v_xc),v_T____)),v_b____),X1)) ),
inference(forward_subsumption_resolution,[],[f682,f461]) ).
fof(f686,plain,
! [X0] : ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_b____),X0)),
inference(resolution,[],[f685,f462]) ).
fof(f694,plain,
$false,
inference(resolution,[],[f686,f460]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL806-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 16:53:02 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.61/1.34 % (14075)Input is clausal, will run a generic CNF schedule.
% 2.61/1.34 % (14132)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=330480456:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.61/1.34 % (14132)First to succeed.
% 2.61/1.34 % (14132)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14075"
% 2.61/1.34 % (14127)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=1645933915:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.61/1.34 % (14130)lrs+10_1_sil=8000:sp=occurrence:random_seed=3863547867:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.61/1.34 % (14129)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3321233167:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.61/1.34 % (14128)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3254955062:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.61/1.34 % (14133)dis-21_1_sil=8000:lcm=predicate:random_seed=2756618794: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)
% 2.61/1.34 % (14131)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=14269519:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.61/1.34 % (14130)Instruction limit reached!
% 2.61/1.34 % (14130)------------------------------
% 2.61/1.34 % (14130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.34 % (14130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.34 % (14130)CaDiCaL version: 2.1.3
% 2.61/1.34 % (14130)Termination reason: Instruction limit
% 2.61/1.34 % (14130)Termination phase: Saturation
% 2.61/1.34 % (14130)Time elapsed: 0.068 s
% 2.61/1.34 % (14130)Peak memory usage: 89 MB
% 2.61/1.34 % (14130)Instructions burned: 108 (million)
% 2.61/1.34 % (14133)Instruction limit reached!
% 2.61/1.34 % (14133)------------------------------
% 2.61/1.34 % (14133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.34 % (14133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.34 % (14133)CaDiCaL version: 2.1.3
% 2.61/1.34 % (14133)Termination reason: Instruction limit
% 2.61/1.34 % (14133)Termination phase: Saturation
% 2.61/1.34 % (14133)Time elapsed: 0.066 s
% 2.61/1.34 % (14133)Peak memory usage: 89 MB
% 2.61/1.34 % (14133)Instructions burned: 118 (million)
% 2.61/1.34 % (14131)Instruction limit reached!
% 2.61/1.34 % (14131)------------------------------
% 2.61/1.34 % (14131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.34 % (14131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.34 % (14131)CaDiCaL version: 2.1.3
% 2.61/1.34 % (14131)Termination reason: Instruction limit
% 2.61/1.34 % (14131)Termination phase: Saturation
% 2.61/1.34 % (14131)Time elapsed: 0.074 s
% 2.61/1.34 % (14131)Peak memory usage: 89 MB
% 2.61/1.34 % (14131)Instructions burned: 115 (million)
% 2.61/1.34 % (14132)Refutation found. Thanks to Tanya!
% 2.61/1.34 % SZS status Unsatisfiable for theBenchmark
% 2.61/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/1.34 % (14132)------------------------------
% 2.61/1.34 % (14132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.34 % (14132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.34 % (14132)CaDiCaL version: 2.1.3
% 2.61/1.34 % (14132)Termination reason: Refutation
% 2.61/1.34 % (14132)Time elapsed: 0.018 s
% 2.61/1.34 % (14132)Peak memory usage: 89 MB
% 2.61/1.34 % (14132)Instructions burned: 51 (million)
% 2.61/1.34 % (14132)------------------------------
% 2.61/1.34 % (14132)------------------------------
% 2.61/1.34 % (14075)Success in time 0.291 s
% 2.61/1.34 % Vampire exiting
%------------------------------------------------------------------------------