%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN616-1 : 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 : n009.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 0.89s 0.51s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 54 ( 30 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2_4,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_4) ).
cnf(c_4,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_4]) ).
fof(p2_7,axiom,
p2(c25,c28),
file('theBenchmark.p',p2_7) ).
cnf(c_7,plain,
p2(c25,c28),
inference(clausify,[status(thm)],[p2_7]) ).
fof(p2_27,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p2(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p2(f12(VAR_0,VAR_1),f12(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_27) ).
cnf(c_27,plain,
( ~ p2(B,D)
| ~ p2(A,C)
| p2(f12(A,B),f12(C,D)) ),
inference(clausify,[status(thm)],[p2_27]) ).
fof(p2_28,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p2(VAR_0,VAR_2)
| ~ p2(VAR_1,VAR_3)
| p2(f7(VAR_0,VAR_1),f7(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_28) ).
cnf(c_28,plain,
( ~ p2(A,C)
| ~ p2(B,D)
| p2(f7(A,B),f7(C,D)) ),
inference(clausify,[status(thm)],[p2_28]) ).
fof(p14_29,axiom,
p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
file('theBenchmark.p',p14_29) ).
cnf(c_29,plain,
p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
inference(clausify,[status(thm)],[p14_29]) ).
fof(not_p14_30,axiom,
~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
file('theBenchmark.p',not_p14_30) ).
cnf(c_30,plain,
~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
inference(clausify,[status(thm)],[not_p14_30]) ).
fof(p14_31,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( ~ p14(VAR_5,VAR_4,VAR_3)
| ~ p2(VAR_5,VAR_0)
| ~ p2(VAR_4,VAR_1)
| ~ p2(VAR_3,VAR_2)
| p14(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',p14_31) ).
cnf(c_31,plain,
( ~ p14(F,E,D)
| ~ p2(F,A)
| ~ p2(E,B)
| ~ p2(D,C)
| p14(A,B,C) ),
inference(clausify,[status(thm)],[p14_31]) ).
cnf(c_1320,plain,
( ~ p2(B,C)
| p2(f12(A,B),f12(A,C)) ),
inference(resolve,[status(thm)],[c_27,c_4]) ).
cnf(c_59,plain,
p2(f12(A,c25),f12(A,c28)),
inference(resolve,[status(thm)],[c_1320,c_7]) ).
cnf(c_1321,plain,
( ~ p14(C,B,A)
| ~ p2(C,f7(c22,f12(f8(c21,f3(f5(c20))),c28)))
| ~ p2(B,f3(f5(c20)))
| ~ p2(A,f6(c21)) ),
inference(resolve,[status(thm)],[c_31,c_30]) ).
cnf(c_1322,plain,
( ~ p14(B,A,f6(c21))
| ~ p2(B,f7(c22,f12(f8(c21,f3(f5(c20))),c28)))
| ~ p2(A,f3(f5(c20))) ),
inference(resolve,[status(thm)],[c_1321,c_4]) ).
cnf(c_1323,plain,
( ~ p14(A,f3(f5(c20)),f6(c21))
| ~ p2(A,f7(c22,f12(f8(c21,f3(f5(c20))),c28))) ),
inference(resolve,[status(thm)],[c_1322,c_4]) ).
cnf(c_69,plain,
~ p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f7(c22,f12(f8(c21,f3(f5(c20))),c28))),
inference(resolve,[status(thm)],[c_1323,c_29]) ).
cnf(c_1324,plain,
( ~ p2(A,C)
| p2(f7(A,f12(B,c25)),f7(C,f12(B,c28))) ),
inference(resolve,[status(thm)],[c_28,c_59]) ).
cnf(c_1318,plain,
p2(f7(A,f12(B,c25)),f7(A,f12(B,c28))),
inference(resolve,[status(thm)],[c_1324,c_4]) ).
cnf(c_1319,plain,
$false,
inference(resolve,[status(thm)],[c_1318,c_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN616-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 18:15:59 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.37 % Process 824804 was started by sandbox on n009,
% 0.11/0.37 % Sat Sep 26 18:15:59 2026
% 0.11/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/0.37
% 0.11/0.37 % From the command line: assign(max_seconds, 300).
% 0.89/0.51
% 0.89/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.89/0.51
% 0.89/0.51 % Proof 1 at 0.10 (+ 0.02) seconds.
% 0.89/0.51 % Length of proof is 11.
% 0.89/0.51 % Level of proof is 3.
% 0.89/0.51 % Maximum clause weight is 19.000.
% 0.89/0.51 % Given clauses 66.
% 0.89/0.51
% 0.89/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------