%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : RNG010-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 08:26:20 AM UTC 2026
% Result : Unsatisfiable 0.14s 5.59s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(left_alternative,axiom,
! [VAR_0,VAR_1] : multiply(multiply(VAR_0,VAR_0),VAR_1) = multiply(VAR_0,multiply(VAR_0,VAR_1)),
file('theBenchmark.p',left_alternative) ).
cnf(c_10,plain,
multiply(multiply(A,A),B) = multiply(A,multiply(A,B)),
inference(clausify,[status(thm)],[left_alternative]) ).
fof(middle_law,axiom,
! [VAR_0,VAR_1] : multiply(multiply(VAR_0,VAR_1),VAR_0) != multiply(VAR_0,multiply(VAR_1,VAR_0)),
file('theBenchmark.p',middle_law) ).
cnf(c_21,plain,
multiply(multiply(A,B),A) != multiply(A,multiply(B,A)),
inference(clausify,[status(thm)],[middle_law]) ).
cnf(c_22,plain,
$false,
inference(resolve,[status(thm)],[c_21,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG010-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.56 % Computer : n003.cluster.edu
% 0.14/5.56 % Model : x86_64 x86_64
% 0.14/5.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.56 % Memory : 8046.5625MB
% 0.14/5.56 % OS : Linux 6.8.0-71-generic
% 0.14/5.57 % CPULimit : 300
% 0.14/5.57 % WCLimit : 300
% 0.14/5.57 % DateTime : Sat Sep 26 05:46:30 UTC 2026
% 0.14/5.57 % CPUTime :
% 0.14/5.57 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/5.57 % Process 2158924 was started by sandbox on n003,
% 0.14/5.57 % Sat Sep 26 05:46:30 2026
% 0.14/5.57 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/5.58
% 0.14/5.58 % From the command line: assign(max_seconds, 300).
% 0.14/5.59
% 0.14/5.59 % SZS status Unsatisfiable for theBenchmark
% 0.14/5.59
% 0.14/5.59 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.14/5.59 % Length of proof is 3.
% 0.14/5.59 % Level of proof is 1.
% 0.14/5.59 % Maximum clause weight is 11.000.
% 0.14/5.59 % Given clauses 0.
% 0.14/5.59
% 0.14/5.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------