%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT270-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 11:46:27 AM UTC 2026
% Result : Unsatisfiable 0.16s 1.30s
% Output : Refutation 0.16s
% 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 : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_a,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
~ c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X2,c_Tarski_Ointerval(v_r,X1,X0,t_a),tc_set(t_a))
| ~ c_in(X1,v_A,t_a)
| ~ c_in(X0,v_A,t_a)
| c_lessequals(X2,v_A,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0) ).
fof(f6,plain,
( ~ c_in(v_a,v_A,t_a)
| ~ c_in(v_b,v_A,t_a)
| c_lessequals(v_S,v_A,tc_set(t_a)) ),
inference(resolution,[],[f5,f3]) ).
fof(f7,plain,
( ~ c_in(v_b,v_A,t_a)
| c_lessequals(v_S,v_A,tc_set(t_a)) ),
inference(forward_subsumption_resolution,[],[f6,f1]) ).
fof(f8,plain,
c_lessequals(v_S,v_A,tc_set(t_a)),
inference(forward_subsumption_resolution,[],[f7,f2]) ).
fof(f9,plain,
$false,
inference(forward_subsumption_resolution,[],[f8,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT270-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n003.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 14:10:56 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.16/1.30 % (561606)Input is clausal, will run a generic CNF schedule.
% 0.16/1.30 % (561694)lrs+10_1_sil=8000:sp=occurrence:random_seed=2780243130:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.16/1.30 % (561694)First to succeed.
% 0.16/1.30 % (561694)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-561606"
% 0.16/1.30 % (561695)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3130250084:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.16/1.30 % (561693)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4273787665:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.16/1.30 % (561692)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3778434192:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.16/1.30 % (561691)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=837208074:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.16/1.30 % (561697)dis-21_1_sil=8000:lcm=predicate:random_seed=1419977853: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)
% 0.16/1.30 % (561695)Also succeeded, but the first one will report.
% 0.16/1.30 % (561697)Also succeeded, but the first one will report.
% 0.16/1.30 % (561696)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=758406600:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.16/1.30 % (561696)Also succeeded, but the first one will report.
% 0.16/1.30 % (561694)Refutation found. Thanks to Tanya!
% 0.16/1.30 % SZS status Unsatisfiable for theBenchmark
% 0.16/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.30 % (561694)------------------------------
% 0.16/1.30 % (561694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.30 % (561694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.30 % (561694)CaDiCaL version: 2.1.3
% 0.16/1.30 % (561694)Termination reason: Refutation
% 0.16/1.30 % (561694)Time elapsed: 0.001 s
% 0.16/1.30 % (561694)Peak memory usage: 88 MB
% 0.16/1.30 % (561694)------------------------------
% 0.16/1.30 % (561694)------------------------------
% 0.16/1.30 % (561606)Success in time 0.31 s
% 0.16/1.30 % Vampire exiting
%------------------------------------------------------------------------------