%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN310-1 : TPTP v9.3.1. Released v1.2.0.
% 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 09:37:31 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 17 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 24 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause1,axiom,
! [VAR_0,VAR_1,VAR_2] :
( p(VAR_2,VAR_1,VAR_0)
| ~ p(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',clause1) ).
cnf(c_1,plain,
( p(C,B,A)
| ~ p(A,B,C) ),
inference(clausify,[status(thm)],[clause1]) ).
fof(clause2,axiom,
! [VAR_0,VAR_1,VAR_2] :
( p(VAR_1,VAR_0,VAR_2)
| ~ p(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',clause2) ).
cnf(c_2,plain,
( p(B,A,C)
| ~ p(A,B,C) ),
inference(clausify,[status(thm)],[clause2]) ).
fof(clause3,axiom,
! [VAR_0,VAR_1,VAR_2] :
( p(VAR_0,VAR_1,VAR_2)
| ~ p(VAR_0,VAR_1,g(VAR_2)) ),
file('theBenchmark.p',clause3) ).
cnf(c_3,plain,
( p(A,B,C)
| ~ p(A,B,g(C)) ),
inference(clausify,[status(thm)],[clause3]) ).
fof(clause4,axiom,
! [VAR_0,VAR_1,VAR_2] :
( p(VAR_0,VAR_1,VAR_2)
| ~ p(f(VAR_0),VAR_1,VAR_2) ),
file('theBenchmark.p',clause4) ).
cnf(c_4,plain,
( p(A,B,C)
| ~ p(f(A),B,C) ),
inference(clausify,[status(thm)],[clause4]) ).
fof(clause5,axiom,
~ p(a,b,c),
file('theBenchmark.p',clause5) ).
cnf(c_5,plain,
~ p(a,b,c),
inference(clausify,[status(thm)],[clause5]) ).
fof(clause6,axiom,
p(f(g(a)),f(g(b)),f(g(c))),
file('theBenchmark.p',clause6) ).
cnf(c_6,plain,
p(f(g(a)),f(g(b)),f(g(c))),
inference(clausify,[status(thm)],[clause6]) ).
cnf(c_7,plain,
p(g(a),f(g(b)),f(g(c))),
inference(resolve,[status(thm)],[c_4,c_6]) ).
cnf(c_10,plain,
p(f(g(b)),g(a),f(g(c))),
inference(resolve,[status(thm)],[c_2,c_7]) ).
cnf(c_12,plain,
p(g(b),g(a),f(g(c))),
inference(resolve,[status(thm)],[c_4,c_10]) ).
cnf(c_15,plain,
p(f(g(c)),g(a),g(b)),
inference(resolve,[status(thm)],[c_1,c_12]) ).
cnf(c_17,plain,
p(g(c),g(a),g(b)),
inference(resolve,[status(thm)],[c_4,c_15]) ).
cnf(c_22,plain,
p(g(c),g(a),b),
inference(resolve,[status(thm)],[c_3,c_17]) ).
cnf(c_26,plain,
p(b,g(a),g(c)),
inference(resolve,[status(thm)],[c_1,c_22]) ).
cnf(c_28,plain,
p(b,g(a),c),
inference(resolve,[status(thm)],[c_3,c_26]) ).
cnf(c_32,plain,
p(g(a),b,c),
inference(resolve,[status(thm)],[c_2,c_28]) ).
cnf(c_34,plain,
p(c,b,g(a)),
inference(resolve,[status(thm)],[c_1,c_32]) ).
cnf(c_36,plain,
p(c,b,a),
inference(resolve,[status(thm)],[c_3,c_34]) ).
cnf(c_42,plain,
p(a,b,c),
inference(resolve,[status(thm)],[c_1,c_36]) ).
cnf(c_43,plain,
$false,
inference(resolve,[status(thm)],[c_42,c_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN310-1 : TPTP v9.3.1. Released v1.2.0.
% 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
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 17:37:00 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 1389484 was started by sandbox2 on n016,
% 0.09/0.36 % Sat Sep 26 17:37:00 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.36
% 0.12/0.36 % From the command line: assign(max_seconds, 300).
% 0.12/0.37
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.37
% 0.12/0.37 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.12/0.37 % Length of proof is 19.
% 0.12/0.37 % Level of proof is 13.
% 0.12/0.37 % Maximum clause weight is 10.000.
% 0.12/0.37 % Given clauses 23.
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------