%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : COM009-2 : TPTP v9.3.1. Released v3.2.0.
% 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 06:59:38 AM UTC 2026
% Result : Unsatisfiable 0.14s 5.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 22 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 1 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
( ~ c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) != v_F ),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_1,plain,
( ~ c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) != v_F ),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_conjecture_1,axiom,
( c_UNITY_Ototalize(v_F,t_a) = v_F
| c_UNITY_Oall__total(v_F,t_a) ),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_2,plain,
( c_UNITY_Ototalize(v_F,t_a) = v_F
| c_UNITY_Oall__total(v_F,t_a) ),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_UNITY_Oall__total__imp__totalize_0,axiom,
! [VAR_0,VAR_1] :
( c_UNITY_Ototalize(VAR_0,VAR_1) = VAR_0
| ~ c_UNITY_Oall__total(VAR_0,VAR_1) ),
file('theBenchmark.p',cls_UNITY_Oall__total__imp__totalize_0) ).
cnf(c_3,plain,
( c_UNITY_Ototalize(A,B) = A
| ~ c_UNITY_Oall__total(A,B) ),
inference(clausify,[status(thm)],[cls_UNITY_Oall__total__imp__totalize_0]) ).
fof(cls_UNITY_Oall__total__totalize_0,axiom,
! [VAR_0,VAR_1] : c_UNITY_Oall__total(c_UNITY_Ototalize(VAR_0,VAR_1),VAR_1),
file('theBenchmark.p',cls_UNITY_Oall__total__totalize_0) ).
cnf(c_4,plain,
c_UNITY_Oall__total(c_UNITY_Ototalize(A,B),B),
inference(clausify,[status(thm)],[cls_UNITY_Oall__total__totalize_0]) ).
cnf(c_9,plain,
( c_UNITY_Ototalize(v_F,t_a) = v_F
| c_UNITY_Ototalize(v_F,t_a) = v_F ),
inference(resolve,[status(thm)],[c_3,c_2]) ).
cnf(c_5,plain,
c_UNITY_Ototalize(v_F,t_a) = v_F,
inference(copy,[status(thm)],[c_9]) ).
cnf(c_10,plain,
( ~ c_UNITY_Oall__total(v_F,t_a)
| v_F != v_F ),
inference(paramod,[status(thm)],[c_5,c_1]) ).
cnf(c_6,plain,
~ c_UNITY_Oall__total(v_F,t_a),
inference(copy,[status(thm)],[c_10]) ).
cnf(c_11,plain,
c_UNITY_Oall__total(v_F,t_a),
inference(paramod,[status(thm)],[c_5,c_4]) ).
cnf(c_8,plain,
$false,
inference(resolve,[status(thm)],[c_6,c_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM009-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.40 % Computer : n016.cluster.edu
% 0.11/5.40 % Model : x86_64 x86_64
% 0.11/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.40 % Memory : 8046.5625MB
% 0.11/5.40 % OS : Linux 6.8.0-71-generic
% 0.11/5.40 % CPULimit : 300
% 0.11/5.40 % WCLimit : 300
% 0.11/5.40 % DateTime : Sat Sep 26 23:25:53 UTC 2026
% 0.14/5.40 % CPUTime :
% 0.14/5.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/5.40 % Process 1998135 was started by sandbox2 on n016,
% 0.14/5.40 % Sat Sep 26 23:25:53 2026
% 0.14/5.40 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/5.40
% 0.14/5.40 % From the command line: assign(max_seconds, 300).
% 0.14/5.42
% 0.14/5.42 % SZS status Unsatisfiable for theBenchmark
% 0.14/5.42
% 0.14/5.42 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.14/5.42 % Length of proof is 7.
% 0.14/5.42 % Level of proof is 3.
% 0.14/5.42 % Maximum clause weight is 8.000.
% 0.14/5.42 % Given clauses 5.
% 0.14/5.42
% 0.14/5.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------