%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL826-1 : 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 : n019.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 11:56:46 AM UTC 2026
% Result : Unsatisfiable 3.29s 6.15s
% Output : Refutation 3.29s
% 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(f427,axiom,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),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_a____),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons_I1_J_0) ).
fof(f462,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_a____),v_xa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f463,negated_conjecture,
hBOOL(hAPP(c_InductTermi_OIT,v_xb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f464,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(f465,negated_conjecture,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f633,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_a____),X1)) ),
inference(resolution,[],[f427,f465]) ).
fof(f636,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_a____),X1)) ),
inference(forward_subsumption_resolution,[],[f633,f463]) ).
fof(f637,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_a____),X0)),
inference(resolution,[],[f636,f464]) ).
fof(f645,plain,
$false,
inference(resolution,[],[f637,f462]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL826-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/5.40 % Computer : n019.cluster.edu
% 0.09/5.40 % Model : x86_64 x86_64
% 0.09/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.40 % Memory : 8046.5625MB
% 0.09/5.40 % OS : Linux 6.8.0-71-generic
% 0.09/5.40 % CPULimit : 300
% 0.09/5.40 % WCLimit : 300
% 0.09/5.40 % DateTime : Sun Sep 27 16:57:13 UTC 2026
% 0.09/5.41 % CPUTime :
% 0.09/5.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/5.44 Running first-order theorem proving
% 0.09/5.44 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
% 3.29/6.15 % (3266146)Input is clausal, will run a generic CNF schedule.
% 3.29/6.15 % (3266157)dis-21_1_sil=8000:lcm=predicate:random_seed=2991077660: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)
% 3.29/6.15 % (3266157)Instruction limit reached!
% 3.29/6.15 % (3266157)------------------------------
% 3.29/6.15 % (3266157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/6.15 % (3266157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/6.15 % (3266157)CaDiCaL version: 2.1.3
% 3.29/6.15 % (3266157)Termination reason: Instruction limit
% 3.29/6.15 % (3266157)Termination phase: Saturation
% 3.29/6.15 % (3266157)Time elapsed: 0.038 s
% 3.29/6.15 % (3266157)Peak memory usage: 89 MB
% 3.29/6.15 % (3266157)Instructions burned: 118 (million)
% 3.29/6.15 % (3266153)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2938605370:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.29/6.15 % (3266154)lrs+10_1_sil=8000:sp=occurrence:random_seed=138712884:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.29/6.15 % (3266156)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1707604770:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.29/6.15 % (3266151)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=3594960408:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.29/6.15 % (3266155)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1450909884:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.29/6.15 % (3266152)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3501826551:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.29/6.15 % (3266156)First to succeed.
% 3.29/6.15 % (3266156)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3266146"
% 3.29/6.15 % (3266154)Instruction limit reached!
% 3.29/6.15 % (3266154)------------------------------
% 3.29/6.15 % (3266154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/6.15 % (3266154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/6.15 % (3266154)CaDiCaL version: 2.1.3
% 3.29/6.15 % (3266154)Termination reason: Instruction limit
% 3.29/6.15 % (3266154)Termination phase: Saturation
% 3.29/6.15 % (3266154)Time elapsed: 0.067 s
% 3.29/6.15 % (3266154)Peak memory usage: 89 MB
% 3.29/6.15 % (3266154)Instructions burned: 107 (million)
% 3.29/6.15 % (3266155)Instruction limit reached!
% 3.29/6.15 % (3266155)------------------------------
% 3.29/6.15 % (3266155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/6.15 % (3266155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/6.15 % (3266155)CaDiCaL version: 2.1.3
% 3.29/6.15 % (3266155)Termination reason: Instruction limit
% 3.29/6.15 % (3266155)Termination phase: Saturation
% 3.29/6.15 % (3266155)Time elapsed: 0.075 s
% 3.29/6.15 % (3266155)Peak memory usage: 89 MB
% 3.29/6.15 % (3266155)Instructions burned: 116 (million)
% 3.29/6.15 % (3266165)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=975521572:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.29/6.15 % (3266165)Also succeeded, but the first one will report.
% 3.29/6.15 % (3266167)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=901164794:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.29/6.15 % (3266166)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1988745724: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)
% 3.29/6.15 % (3266167)Also succeeded, but the first one will report.
% 3.29/6.15 % (3266166)Also succeeded, but the first one will report.
% 3.29/6.15 % (3266156)Refutation found. Thanks to Tanya!
% 3.29/6.15 % SZS status Unsatisfiable for theBenchmark
% 3.29/6.15 % SZS output start Proof for theBenchmark
% See solution above
% 3.29/6.15 % (3266156)------------------------------
% 3.29/6.15 % (3266156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/6.15 % (3266156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/6.15 % (3266156)CaDiCaL version: 2.1.3
% 3.29/6.15 % (3266156)Termination reason: Refutation
% 3.29/6.15 % (3266156)Time elapsed: 0.028 s
% 3.29/6.15 % (3266156)Peak memory usage: 89 MB
% 3.29/6.15 % (3266156)Instructions burned: 44 (million)
% 3.29/6.15 % (3266156)------------------------------
% 3.29/6.15 % (3266156)------------------------------
% 3.29/6.15 % (3266146)Success in time 0.43 s
% 3.29/6.15 % Vampire exiting
%------------------------------------------------------------------------------