%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV123+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 : Sun Sep 27 09:06:51 AM UTC 2026
% Result : Theorem 0.24s 0.58s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 20 ( 2 ~; 0 |; 4 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0016,conjecture,
( geq(minus(n3,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n999,n1),n0)
& geq(n2,n0) )
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n999,n1),n0)
& geq(minus(n3,n1),n0) )
=> true ) ) ) ) ) ) ),
file('theBenchmark.p',quaternion_ds1_symm_0016) ).
fof(quaternion_ds1_symm_0016_neg,negated_conjecture,
~ ( geq(minus(n3,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n999,n1),n0)
& geq(n2,n0) )
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n999,n1),n0)
& geq(minus(n3,n1),n0) )
=> true ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0016]) ).
fof(ttrue,axiom,
true,
file('theBenchmark.p',ttrue) ).
cnf(c_336,plain,
true,
inference(clausify,[status(thm)],[ttrue]) ).
cnf(c_394,negated_conjecture,
~ true,
inference(clausify,[status(thm)],[quaternion_ds1_symm_0016_neg]) ).
cnf(c_395,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_336,c_394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV123+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 13:19:00 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 954064 was started by sandbox2 on n016,
% 0.09/0.36 % Sat Sep 26 13:19:00 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.48
% 0.13/0.48 % From the command line: assign(max_seconds, 300).
% 0.24/0.58
% 0.24/0.58 % SZS status Theorem for theBenchmark
% 0.24/0.58
% 0.24/0.58 % Proof 1 at 0.08 (+ 0.02) seconds.
% 0.24/0.58 % Length of proof is 4.
% 0.24/0.58 % Level of proof is 2.
% 0.24/0.58 % Maximum clause weight is 1.000.
% 0.24/0.58 % Given clauses 0.
% 0.24/0.58
% 0.24/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------