%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET824-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:42:01 PM UTC 2026
% Result : Unsatisfiable 2.70s 1.33s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 4 ( 3 unt; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
fof(f2,negated_conjecture,
! [X0] : c_in(v_a,X0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3,plain,
! [X0] : ~ c_in(v_a,X0,tc_IntDef_Oint),
inference(resolution,[],[f1,f2]) ).
fof(f4,plain,
$false,
inference(resolution,[],[f3,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET824-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n018.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 : Mon Sep 28 02:57:24 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 2.70/1.33 % (2950127)Input is clausal, will run a generic CNF schedule.
% 2.70/1.33 % (2950138)dis-21_1_sil=8000:lcm=predicate:random_seed=1529718367: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)
% 2.70/1.33 % (2950138)First to succeed.
% 2.70/1.33 % (2950138)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2950127"
% 2.70/1.33 % (2950134)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3704608947:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.70/1.33 % (2950135)lrs+10_1_sil=8000:sp=occurrence:random_seed=1370359262:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.70/1.33 % (2950133)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4067532710:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.70/1.33 % (2950137)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3385626093:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.70/1.33 % (2950132)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=3879761272:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.70/1.33 % (2950136)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2911597206:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.70/1.33 % (2950136)Refutation not found, incomplete strategy
% 2.70/1.33 % (2950136)------------------------------
% 2.70/1.33 % (2950136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.33 % (2950136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.33 % (2950136)CaDiCaL version: 2.1.3
% 2.70/1.33 % (2950136)Termination reason: Refutation not found, incomplete strategy
% 2.70/1.33 % (2950136)Time elapsed: 0.0000 s
% 2.70/1.33 % (2950136)Peak memory usage: 86 MB
% 2.70/1.33 % (2950135)Also succeeded, but the first one will report.
% 2.70/1.33 % (2950137)Also succeeded, but the first one will report.
% 2.70/1.33 % (2950138)Refutation found. Thanks to Tanya!
% 2.70/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.70/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/1.33 % (2950138)------------------------------
% 2.70/1.33 % (2950138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.33 % (2950138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.33 % (2950138)CaDiCaL version: 2.1.3
% 2.70/1.33 % (2950138)Termination reason: Refutation
% 2.70/1.33 % (2950138)Time elapsed: 0.001 s
% 2.70/1.33 % (2950138)Peak memory usage: 88 MB
% 2.70/1.33 % (2950138)------------------------------
% 2.70/1.33 % (2950138)------------------------------
% 2.70/1.33 % (2950127)Success in time 0.296 s
% 2.70/1.33 % Vampire exiting
%------------------------------------------------------------------------------