%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 09:53:30 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.43s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-6 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ trapezoid(X0,X1,X2,X3)
| parallel(X1,X2,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trapezoid_definition) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( eq(X2,X1,X0,X1,X2,X3)
| ~ parallel(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interior_angles_are_equal) ).
fof(f5,axiom,
trapezoid(a,b,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_trapezoid) ).
fof(f6,negated_conjecture,
~ eq(a,c,b,c,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_angles_equal) ).
fof(f7,plain,
parallel(b,c,a,d),
inference(resolution,[],[f3,f5]) ).
fof(f8,plain,
~ parallel(b,c,a,d),
inference(resolution,[],[f4,f6]) ).
fof(f9,plain,
$false,
inference(forward_subsumption_resolution,[],[f7,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 06:52:45 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.43 % (458708)Will run a generic schedule for satisfiability detection.
% 0.11/0.43 % (458716)dis+10_1_sil=32000:sp=arity:random_seed=3087467803:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.43 % (458716) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-458708-458716"...
% 0.11/0.43 % (458716)...printing done.
% 0.11/0.43 % (458716)Refutation found. Thanks to Tanya!
% 0.11/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.43 % (458716)------------------------------
% 0.11/0.43 % (458716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.43 % (458716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.43 % (458716)CaDiCaL version: 2.1.3
% 0.11/0.43 % (458716)Termination reason: Refutation
% 0.11/0.43 % (458716)Time elapsed: 0.0000 s
% 0.11/0.43 % (458716)Peak memory usage: 11 MB
% 0.11/0.43 % (458708)Success in time 0.03 s
% 0.11/0.43 % Vampire exiting
%------------------------------------------------------------------------------