%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM014-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 12:17:48 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.44s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 19 ( 8 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(X0,X0,square(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',square) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| divides(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ prime(X0)
| ~ product(X1,X2,X3)
| ~ divides(X0,X3)
| divides(X0,X1)
| divides(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',remainder) ).
fof(f5,axiom,
prime(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_prime) ).
fof(f6,axiom,
product(a,square(c),square(b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b_squared_by_c_squared) ).
fof(f7,negated_conjecture,
~ divides(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_divides_b) ).
fof(f9,plain,
divides(a,square(b)),
inference(resolution,[],[f3,f6]) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ divides(a,X2)
| ~ product(X0,X1,X2)
| divides(a,X0)
| divides(a,X1) ),
inference(resolution,[],[f4,f5]) ).
fof(f15,plain,
! [X0,X1] :
( ~ product(X0,X1,square(b))
| divides(a,X0)
| divides(a,X1) ),
inference(resolution,[],[f12,f9]) ).
fof(f17,plain,
( divides(a,b)
| divides(a,b) ),
inference(resolution,[],[f15,f1]) ).
fof(f20,plain,
divides(a,b),
inference(duplicate_literal_removal,[],[f17]) ).
fof(f31,plain,
$false,
inference(forward_subsumption_resolution,[],[f20,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 18:39:30 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41 Running first-order model finding
% 0.16/0.41 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
% 0.16/0.44 % (2685105)Will run a generic schedule for satisfiability detection.
% 0.16/0.44 % (2685115)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1187599272:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.44 % (2685115) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2685105-2685115"...
% 0.16/0.44 % (2685115)...printing done.
% 0.16/0.44 % (2685115)Refutation found. Thanks to Tanya!
% 0.16/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.44 % (2685115)------------------------------
% 0.16/0.44 % (2685115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.44 % (2685115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.44 % (2685115)CaDiCaL version: 2.1.3
% 0.16/0.44 % (2685115)Termination reason: Refutation
% 0.16/0.44 % (2685115)Time elapsed: 0.001 s
% 0.16/0.44 % (2685115)Peak memory usage: 11 MB
% 0.16/0.44 % (2685105)Success in time 0.024 s
% 0.16/0.44 % Vampire exiting
%------------------------------------------------------------------------------