%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV121+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/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 0.17s 10.80s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 36 ( 6 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 32 ( 2 ~; 0 |; 22 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0014,conjecture,
( ( ! [E,F] :
( ( leq(F,minus(n6,n1))
& leq(E,minus(n6,n1))
& leq(n0,F)
& leq(n0,E) )
=> a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) )
& ! [C,D] :
( ( leq(D,minus(n3,n1))
& leq(C,minus(n3,n1))
& leq(n0,D)
& leq(n0,C) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ! [A,B] :
( ( leq(B,minus(n6,n1))
& leq(A,minus(n6,n1))
& leq(n0,B)
& leq(n0,A) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ) )
=> true ),
file('theBenchmark.p',quaternion_ds1_symm_0014) ).
fof(quaternion_ds1_symm_0014_neg,negated_conjecture,
~ ( ( ! [E,F] :
( ( leq(F,minus(n6,n1))
& leq(E,minus(n6,n1))
& leq(n0,F)
& leq(n0,E) )
=> a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) )
& ! [C,D] :
( ( leq(D,minus(n3,n1))
& leq(C,minus(n3,n1))
& leq(n0,D)
& leq(n0,C) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ! [A,B] :
( ( leq(B,minus(n6,n1))
& leq(A,minus(n6,n1))
& leq(n0,B)
& leq(n0,A) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ) )
=> true ),
inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0014]) ).
fof(ttrue,axiom,
true,
file('theBenchmark.p',ttrue) ).
cnf(c_328,plain,
true,
inference(clausify,[status(thm)],[ttrue]) ).
cnf(c_381,negated_conjecture,
~ true,
inference(clausify,[status(thm)],[quaternion_ds1_symm_0014_neg]) ).
cnf(c_382,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_328,c_381]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV121+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/10.61 % Computer : n016.cluster.edu
% 0.13/10.61 % Model : x86_64 x86_64
% 0.13/10.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.61 % Memory : 8046.5625MB
% 0.13/10.61 % OS : Linux 6.8.0-71-generic
% 0.13/10.61 % CPULimit : 300
% 0.13/10.61 % WCLimit : 300
% 0.13/10.61 % DateTime : Sat Sep 26 13:19:26 UTC 2026
% 0.13/10.62 % CPUTime :
% 0.13/10.62 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/10.62 % Process 954991 was started by sandbox on n016,
% 0.13/10.62 % Sat Sep 26 13:19:26 2026
% 0.13/10.62 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/10.74
% 0.17/10.74 % From the command line: assign(max_seconds, 300).
% 0.17/10.80
% 0.17/10.80 % SZS status Theorem for theBenchmark
% 0.17/10.80
% 0.17/10.80 % Proof 1 at 0.05 (+ 0.00) seconds.
% 0.17/10.80 % Length of proof is 4.
% 0.17/10.80 % Level of proof is 2.
% 0.17/10.80 % Maximum clause weight is 1.000.
% 0.17/10.80 % Given clauses 0.
% 0.17/10.80
% 0.17/10.80 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------