%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN622-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 09:38:58 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 15 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 18 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p11_1,axiom,
! [VAR_0] : p11(VAR_0,VAR_0),
file('theBenchmark.p',p11_1) ).
cnf(c_1,plain,
p11(A,A),
inference(clausify,[status(thm)],[p11_1]) ).
fof(p8_3,axiom,
! [VAR_0] : p8(VAR_0,VAR_0),
file('theBenchmark.p',p8_3) ).
cnf(c_3,plain,
p8(A,A),
inference(clausify,[status(thm)],[p8_3]) ).
fof(p8_8,axiom,
! [VAR_0,VAR_1] : p8(f16(VAR_0,f17(VAR_1,VAR_0)),VAR_1),
file('theBenchmark.p',p8_8) ).
cnf(c_8,plain,
p8(f16(A,f17(B,A)),B),
inference(clausify,[status(thm)],[p8_8]) ).
fof(p8_21,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p8(VAR_2,VAR_1)
| ~ p8(VAR_2,VAR_0)
| p8(VAR_0,VAR_1) ),
file('theBenchmark.p',p8_21) ).
cnf(c_21,plain,
( ~ p8(C,B)
| ~ p8(C,A)
| p8(A,B) ),
inference(clausify,[status(thm)],[p8_21]) ).
fof(p8_24,axiom,
! [VAR_0] : p8(f12(f13(c23),VAR_0),f12(f13(c26),f16(c27,VAR_0))),
file('theBenchmark.p',p8_24) ).
cnf(c_24,plain,
p8(f12(f13(c23),A),f12(f13(c26),f16(c27,A))),
inference(clausify,[status(thm)],[p8_24]) ).
fof(not_p8_26,axiom,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
file('theBenchmark.p',not_p8_26) ).
cnf(c_26,plain,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
inference(clausify,[status(thm)],[not_p8_26]) ).
fof(p8_31,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p8(VAR_1,VAR_3)
| ~ p11(VAR_0,VAR_2)
| p8(f12(VAR_0,VAR_1),f12(VAR_2,VAR_3)) ),
file('theBenchmark.p',p8_31) ).
cnf(c_31,plain,
( ~ p8(B,D)
| ~ p11(A,C)
| p8(f12(A,B),f12(C,D)) ),
inference(clausify,[status(thm)],[p8_31]) ).
cnf(c_49,plain,
( ~ p8(B,A)
| p8(A,B) ),
inference(resolve,[status(thm)],[c_21,c_3]) ).
cnf(c_378,plain,
( ~ p8(A,f12(f13(c26),c28))
| ~ p8(A,f12(f13(c23),f17(c28,c27))) ),
inference(resolve,[status(thm)],[c_21,c_26]) ).
cnf(c_61,plain,
~ p8(f12(f13(c26),c28),f12(f13(c23),f17(c28,c27))),
inference(resolve,[status(thm)],[c_378,c_3]) ).
cnf(c_67,plain,
( ~ p8(B,C)
| p8(f12(A,B),f12(A,C)) ),
inference(resolve,[status(thm)],[c_31,c_1]) ).
cnf(c_98,plain,
p8(f12(f13(c26),f16(c27,A)),f12(f13(c23),A)),
inference(resolve,[status(thm)],[c_49,c_24]) ).
cnf(c_183,plain,
p8(f12(A,f16(B,f17(C,B))),f12(A,C)),
inference(resolve,[status(thm)],[c_67,c_8]) ).
cnf(c_379,plain,
( ~ p8(A,f12(f13(c23),f17(c28,c27)))
| ~ p8(A,f12(f13(c26),c28)) ),
inference(resolve,[status(thm)],[c_21,c_61]) ).
cnf(c_380,plain,
~ p8(f12(f13(c26),f16(c27,f17(c28,c27))),f12(f13(c26),c28)),
inference(resolve,[status(thm)],[c_379,c_98]) ).
cnf(c_377,plain,
$false,
inference(resolve,[status(thm)],[c_183,c_380]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN622-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 18:22:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 2411495 was started by sandbox on n001,
% 0.10/0.37 % Sat Sep 26 18:22:28 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.37
% 0.10/0.37 % From the command line: assign(max_seconds, 300).
% 0.14/0.41
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.41
% 0.14/0.41 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.14/0.41 % Length of proof is 13.
% 0.14/0.41 % Level of proof is 3.
% 0.14/0.41 % Maximum clause weight is 19.000.
% 0.14/0.41 % Given clauses 149.
% 0.14/0.41
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------