%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN560-1 : 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 09:38:50 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 34 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2_1,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_1) ).
cnf(c_1,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_1]) ).
fof(not_p2_2,axiom,
~ p2(c9,f3(c10)),
file('theBenchmark.p',not_p2_2) ).
cnf(c_2,plain,
~ p2(c9,f3(c10)),
inference(clausify,[status(thm)],[not_p2_2]) ).
fof(p2_4,axiom,
! [VAR_0] : p2(f4(VAR_0),f5(VAR_0,f3(f7(c10)))),
file('theBenchmark.p',p2_4) ).
cnf(c_4,plain,
p2(f4(A),f5(A,f3(f7(c10)))),
inference(clausify,[status(thm)],[p2_4]) ).
fof(p2_8,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p2(VAR_2,VAR_1)
| ~ p2(VAR_2,VAR_0)
| p2(VAR_0,VAR_1) ),
file('theBenchmark.p',p2_8) ).
cnf(c_8,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_8]) ).
fof(p8_9,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p8(VAR_2,VAR_1)
| ~ p8(VAR_0,VAR_2)
| p8(VAR_0,VAR_1) ),
file('theBenchmark.p',p8_9) ).
cnf(c_9,plain,
( ~ p8(C,B)
| ~ p8(A,C)
| p8(A,B) ),
inference(clausify,[status(thm)],[p8_9]) ).
fof(p8_10,axiom,
p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
file('theBenchmark.p',p8_10) ).
cnf(c_10,plain,
p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
inference(clausify,[status(thm)],[p8_10]) ).
fof(not_p8_11,axiom,
~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
file('theBenchmark.p',not_p8_11) ).
cnf(c_11,plain,
~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
inference(clausify,[status(thm)],[not_p8_11]) ).
fof(p8_12,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p2(VAR_3,VAR_0)
| ~ p8(VAR_3,VAR_2)
| ~ p2(VAR_2,VAR_1)
| p8(VAR_0,VAR_1) ),
file('theBenchmark.p',p8_12) ).
cnf(c_12,plain,
( ~ p2(D,A)
| ~ p8(D,C)
| ~ p2(C,B)
| p8(A,B) ),
inference(clausify,[status(thm)],[p8_12]) ).
fof(p2_14,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p2(VAR_0,VAR_2)
| ~ p2(VAR_1,VAR_3)
| p2(f6(VAR_0,VAR_1),f6(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_14) ).
cnf(c_14,plain,
( ~ p2(A,C)
| ~ p2(B,D)
| p2(f6(A,B),f6(C,D)) ),
inference(clausify,[status(thm)],[p2_14]) ).
fof(p2_15,axiom,
! [VAR_0,VAR_1] :
( p8(f6(VAR_0,VAR_1),f6(VAR_0,f5(VAR_1,f3(f7(c10)))))
| p2(VAR_0,f3(c10)) ),
file('theBenchmark.p',p2_15) ).
cnf(c_15,plain,
( p8(f6(A,B),f6(A,f5(B,f3(f7(c10)))))
| p2(A,f3(c10)) ),
inference(clausify,[status(thm)],[p2_15]) ).
cnf(c_29,plain,
( ~ p2(B,A)
| p2(A,B) ),
inference(resolve,[status(thm)],[c_8,c_1]) ).
cnf(c_633,plain,
( ~ p8(A,f6(c9,f4(f4(f5(c12,c14)))))
| ~ p8(f6(c9,f4(c12)),A) ),
inference(resolve,[status(thm)],[c_9,c_11]) ).
cnf(c_33,plain,
~ p8(f6(c9,f4(f5(c12,c14))),f6(c9,f4(f4(f5(c12,c14))))),
inference(resolve,[status(thm)],[c_633,c_10]) ).
cnf(c_47,plain,
( ~ p2(B,C)
| p2(f6(A,B),f6(A,C)) ),
inference(resolve,[status(thm)],[c_14,c_1]) ).
cnf(c_48,plain,
( ~ p2(f6(A,D),B)
| ~ p2(f6(A,f5(D,f3(f7(c10)))),C)
| p8(B,C)
| p2(A,f3(c10)) ),
inference(resolve,[status(thm)],[c_15,c_12]) ).
cnf(c_95,plain,
p2(f5(A,f3(f7(c10))),f4(A)),
inference(resolve,[status(thm)],[c_29,c_4]) ).
cnf(c_195,plain,
p2(f6(A,f5(B,f3(f7(c10)))),f6(A,f4(B))),
inference(resolve,[status(thm)],[c_95,c_47]) ).
cnf(c_634,plain,
( ~ p2(f6(c9,C),A)
| ~ p2(f6(c9,f5(C,f3(f7(c10)))),B)
| p8(A,B) ),
inference(resolve,[status(thm)],[c_48,c_2]) ).
cnf(c_635,plain,
( ~ p2(f6(c9,A),f6(c9,f4(f5(c12,c14))))
| ~ p2(f6(c9,f5(A,f3(f7(c10)))),f6(c9,f4(f4(f5(c12,c14))))) ),
inference(resolve,[status(thm)],[c_634,c_33]) ).
cnf(c_636,plain,
~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),f6(c9,f4(f4(f5(c12,c14))))),
inference(resolve,[status(thm)],[c_635,c_1]) ).
cnf(c_632,plain,
$false,
inference(resolve,[status(thm)],[c_195,c_636]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN560-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n004.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 18:13:37 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 2324101 was started by sandbox on n004,
% 0.08/0.36 % Sat Sep 26 18:13:37 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.37
% 0.08/0.37 % From the command line: assign(max_seconds, 300).
% 0.14/0.43
% 0.14/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.43
% 0.14/0.43 % Proof 1 at 0.04 (+ 0.02) seconds.
% 0.14/0.43 % Length of proof is 17.
% 0.14/0.43 % Level of proof is 4.
% 0.14/0.43 % Maximum clause weight is 46.000.
% 0.14/0.43 % Given clauses 90.
% 0.14/0.43
% 0.14/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------