%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN593-1 : 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 : n017.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 09:38:54 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 14 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 41 ( 21 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(not_p3_5,axiom,
~ p3(c21,c19),
file('theBenchmark.p',not_p3_5) ).
cnf(c_5,plain,
~ p3(c21,c19),
inference(clausify,[status(thm)],[not_p3_5]) ).
fof(not_p12_6,axiom,
~ p12(f13(c20),f13(c18)),
file('theBenchmark.p',not_p12_6) ).
cnf(c_6,plain,
~ p12(f13(c20),f13(c18)),
inference(clausify,[status(thm)],[not_p12_6]) ).
fof(p15_18,axiom,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('theBenchmark.p',p15_18) ).
cnf(c_18,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
inference(clausify,[status(thm)],[p15_18]) ).
fof(p15_19,axiom,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file('theBenchmark.p',p15_19) ).
cnf(c_19,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
inference(clausify,[status(thm)],[p15_19]) ).
fof(not_p15_23,axiom,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
file('theBenchmark.p',not_p15_23) ).
cnf(c_23,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
inference(clausify,[status(thm)],[not_p15_23]) ).
fof(not_p15_24,axiom,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
file('theBenchmark.p',not_p15_24) ).
cnf(c_24,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
inference(clausify,[status(thm)],[not_p15_24]) ).
fof(p3_27,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p15(f4(f6(f10(VAR_3),f6(f7(f8(f9(c17))),c18)),VAR_1),VAR_2)
| ~ p15(f4(f6(f10(VAR_3),f6(f7(f8(f9(c17))),c18)),VAR_0),VAR_2)
| p15(f4(f6(f10(VAR_3),f6(f7(f8(f9(c17))),c18)),f11(VAR_0)),VAR_2)
| p15(f4(f6(f10(VAR_3),f6(f7(f8(f9(c17))),c18)),f11(VAR_1)),VAR_2)
| p12(f13(VAR_2),f13(c18))
| p3(VAR_0,VAR_1) ),
file('theBenchmark.p',p3_27) ).
cnf(c_27,plain,
( ~ p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),B),C)
| ~ p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),A),C)
| p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),f11(A)),C)
| p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),f11(B)),C)
| p12(f13(C),f13(c18))
| p3(A,B) ),
inference(clausify,[status(thm)],[p3_27]) ).
cnf(c_54,plain,
( ~ p15(f4(f6(f10(B),f6(f7(f8(f9(c17))),c18)),c19),A)
| ~ p15(f4(f6(f10(B),f6(f7(f8(f9(c17))),c18)),c21),A)
| p15(f4(f6(f10(B),f6(f7(f8(f9(c17))),c18)),f11(c21)),A)
| p15(f4(f6(f10(B),f6(f7(f8(f9(c17))),c18)),f11(c19)),A)
| p12(f13(A),f13(c18)) ),
inference(resolve,[status(thm)],[c_27,c_5]) ).
cnf(c_55,plain,
( ~ p15(f4(f6(f10(A),f6(f7(f8(f9(c17))),c18)),c19),c20)
| ~ p15(f4(f6(f10(A),f6(f7(f8(f9(c17))),c18)),c21),c20)
| p15(f4(f6(f10(A),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20)
| p15(f4(f6(f10(A),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20) ),
inference(resolve,[status(thm)],[c_54,c_6]) ).
cnf(c_56,plain,
( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20) ),
inference(resolve,[status(thm)],[c_55,c_24]) ).
cnf(c_57,plain,
( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20) ),
inference(resolve,[status(thm)],[c_56,c_23]) ).
cnf(c_58,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
inference(resolve,[status(thm)],[c_57,c_18]) ).
cnf(c_53,plain,
$false,
inference(resolve,[status(thm)],[c_19,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN593-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 18:11:03 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 1348246 was started by sandbox on n017,
% 0.09/0.36 % Sat Sep 26 18:11:03 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 0.09/0.38
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.38
% 0.09/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/0.38 % Length of proof is 8.
% 0.09/0.38 % Level of proof is 1.
% 0.09/0.38 % Maximum clause weight is 62.000.
% 0.09/0.38 % Given clauses 27.
% 0.09/0.38
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------