%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN619-1 : 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 : n004.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 0.09s 5.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 16 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 26 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 28 ( 5 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2_5,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_5) ).
cnf(c_5,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_5]) ).
fof(p17_6,axiom,
! [VAR_0] : p17(VAR_0,VAR_0),
file('theBenchmark.p',p17_6) ).
cnf(c_6,plain,
p17(A,A),
inference(clausify,[status(thm)],[p17_6]) ).
fof(p18_7,axiom,
p18(c24,f6(c25)),
file('theBenchmark.p',p18_7) ).
cnf(c_7,plain,
p18(c24,f6(c25)),
inference(clausify,[status(thm)],[p18_7]) ).
fof(not_p18_8,axiom,
~ p18(c24,f6(f7(c22,c23))),
file('theBenchmark.p',not_p18_8) ).
cnf(c_8,plain,
~ p18(c24,f6(f7(c22,c23))),
inference(clausify,[status(thm)],[not_p18_8]) ).
fof(p17_9,axiom,
! [VAR_0,VAR_1] :
( ~ p17(f3(VAR_0),VAR_1)
| p17(VAR_0,VAR_1) ),
file('theBenchmark.p',p17_9) ).
cnf(c_9,plain,
( ~ p17(f3(A),B)
| p17(A,B) ),
inference(clausify,[status(thm)],[p17_9]) ).
fof(p18_24,axiom,
! [VAR_0] :
( ~ p18(VAR_0,f6(c25))
| p2(f14(VAR_0),c20)
| p18(VAR_0,f6(c19)) ),
file('theBenchmark.p',p18_24) ).
cnf(c_24,plain,
( ~ p18(A,f6(c25))
| p2(f14(A),c20)
| p18(A,f6(c19)) ),
inference(clausify,[status(thm)],[p18_24]) ).
fof(p18_27,axiom,
! [VAR_0] :
( ~ p18(VAR_0,f6(c25))
| p17(f3(c21),f15(VAR_0))
| p18(VAR_0,f6(c19)) ),
file('theBenchmark.p',p18_27) ).
cnf(c_27,plain,
( ~ p18(A,f6(c25))
| p17(f3(c21),f15(A))
| p18(A,f6(c19)) ),
inference(clausify,[status(thm)],[p18_27]) ).
fof(not_p2_32,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p8(c24,f9(f13(VAR_0,VAR_1),VAR_2))
| ~ p17(c21,VAR_1)
| ~ p2(VAR_0,c20) ),
file('theBenchmark.p',not_p2_32) ).
cnf(c_31,plain,
( ~ p8(c24,f9(f13(A,B),C))
| ~ p17(c21,B)
| ~ p2(A,c20) ),
inference(clausify,[status(thm)],[not_p2_32]) ).
fof(p18_33,axiom,
! [VAR_0] :
( ~ p18(VAR_0,f6(c25))
| p8(VAR_0,f9(f13(f14(VAR_0),f15(VAR_0)),f16(VAR_0)))
| p18(VAR_0,f6(c19)) ),
file('theBenchmark.p',p18_33) ).
cnf(c_32,plain,
( ~ p18(A,f6(c25))
| p8(A,f9(f13(f14(A),f15(A)),f16(A)))
| p18(A,f6(c19)) ),
inference(clausify,[status(thm)],[p18_33]) ).
fof(p18_34,axiom,
! [VAR_0] :
( ~ p18(VAR_0,f6(c19))
| p8(VAR_0,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
| p18(VAR_0,f6(f7(c22,c23))) ),
file('theBenchmark.p',p18_34) ).
cnf(c_33,plain,
( ~ p18(A,f6(c19))
| p8(A,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
| p18(A,f6(f7(c22,c23))) ),
inference(clausify,[status(thm)],[p18_34]) ).
cnf(c_42,plain,
( p2(f14(c24),c20)
| p18(c24,f6(c19)) ),
inference(resolve,[status(thm)],[c_24,c_7]) ).
cnf(c_46,plain,
( p17(f3(c21),f15(c24))
| p18(c24,f6(c19)) ),
inference(resolve,[status(thm)],[c_27,c_7]) ).
cnf(c_89,plain,
( ~ p8(c24,f9(f13(c20,A),B))
| ~ p17(c21,A) ),
inference(resolve,[status(thm)],[c_31,c_5]) ).
cnf(c_53,plain,
~ p8(c24,f9(f13(c20,c21),A)),
inference(resolve,[status(thm)],[c_89,c_6]) ).
cnf(c_54,plain,
( p8(c24,f9(f13(f14(c24),f15(c24)),f16(c24)))
| p18(c24,f6(c19)) ),
inference(resolve,[status(thm)],[c_32,c_7]) ).
cnf(c_90,plain,
( ~ p18(c24,f6(c19))
| p8(c24,f9(f13(c20,c21),f11(f12(f7(c22,c23))))) ),
inference(resolve,[status(thm)],[c_33,c_8]) ).
cnf(c_62,plain,
~ p18(c24,f6(c19)),
inference(resolve,[status(thm)],[c_90,c_53]) ).
cnf(c_64,plain,
p8(c24,f9(f13(f14(c24),f15(c24)),f16(c24))),
inference(resolve,[status(thm)],[c_62,c_54]) ).
cnf(c_65,plain,
p17(f3(c21),f15(c24)),
inference(resolve,[status(thm)],[c_62,c_46]) ).
cnf(c_66,plain,
p2(f14(c24),c20),
inference(resolve,[status(thm)],[c_62,c_42]) ).
cnf(c_84,plain,
p17(c21,f15(c24)),
inference(resolve,[status(thm)],[c_65,c_9]) ).
cnf(c_91,plain,
( ~ p8(c24,f9(f13(f14(c24),A),B))
| ~ p17(c21,A) ),
inference(resolve,[status(thm)],[c_31,c_66]) ).
cnf(c_87,plain,
~ p8(c24,f9(f13(f14(c24),f15(c24)),A)),
inference(resolve,[status(thm)],[c_91,c_84]) ).
cnf(c_88,plain,
$false,
inference(resolve,[status(thm)],[c_87,c_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN619-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n004.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 18:17:02 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.37 % Process 2331391 was started by sandbox on n004,
% 0.09/5.37 % Sat Sep 26 18:17:02 2026
% 0.09/5.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/5.38
% 0.09/5.38 % From the command line: assign(max_seconds, 300).
% 0.09/5.39
% 0.09/5.39 % SZS status Unsatisfiable for theBenchmark
% 0.09/5.39
% 0.09/5.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/5.39 % Length of proof is 21.
% 0.09/5.39 % Level of proof is 6.
% 0.09/5.39 % Maximum clause weight is 21.000.
% 0.09/5.39 % Given clauses 44.
% 0.09/5.39
% 0.09/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------