%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% 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 11:48:08 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 14 unt; 3 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 20 ~; 18 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 6 ( 0 sgn 6 !; 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_in(X0,v_A,t_a)
| ~ c_in(X1,v_A,t_a)
| ~ c_lessequals(X2,c_Tarski_Ointerval(v_r,X1,X0,t_a),tc_set(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_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f7,plain,
c_lessequals(v_S,v_A,tc_set(t_a)),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f8,plain,
! [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)) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f9,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,[],[f8,f6]) ).
fof(f11,definition,
( spl0_1
<=> c_lessequals(v_S,v_A,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f13,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| spl0_1 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f15,definition,
( spl0_2
<=> c_in(v_b,v_A,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f17,plain,
( ~ c_in(v_b,v_A,t_a)
| spl0_2 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f19,definition,
( spl0_3
<=> c_in(v_a,v_A,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f21,plain,
( ~ c_in(v_a,v_A,t_a)
| spl0_3 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f22,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f9,f19,f15,f11]) ).
fof(f23,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f17,f2]) ).
fof(f24,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f23]) ).
fof(f25,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f21,f1]) ).
fof(f26,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f25]) ).
fof(f27,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f13,f7]) ).
fof(f28,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f27]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f22]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f24]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f26]) ).
cnf(s4,plain,
spl0_1,
inference(sat_conversion,[],[f28]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s2,s4]) ).
fof(f29,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.13/0.39 % Computer : n020.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 14:10:04 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 % (3413825)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (3413843)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3608432257:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.46 % (3413843) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3413825-3413843"...
% 0.18/0.46 % (3413843)...printing done.
% 0.18/0.46 % (3413843)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (3413843)------------------------------
% 0.18/0.46 % (3413843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (3413843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (3413843)CaDiCaL version: 2.1.3
% 0.18/0.46 % (3413843)Termination reason: Refutation
% 0.18/0.46 % (3413843)Time elapsed: 0.001 s
% 0.18/0.46 % (3413843)Peak memory usage: 12 MB
% 0.18/0.46 % (3413843)Instructions burned: 1 (million)
% 0.18/0.46 % (3413825)Success in time 0.033 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------