%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN605-1 : 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 : n002.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 09:38:56 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 15 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 29 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 7 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2_2,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_2) ).
cnf(c_2,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_2]) ).
fof(p3_4,axiom,
! [VAR_0] : p3(VAR_0,VAR_0),
file('theBenchmark.p',p3_4) ).
cnf(c_4,plain,
p3(A,A),
inference(clausify,[status(thm)],[p3_4]) ).
fof(p3_6,axiom,
p3(f12(c22,c21),c22),
file('theBenchmark.p',p3_6) ).
cnf(c_6,plain,
p3(f12(c22,c21),c22),
inference(clausify,[status(thm)],[p3_6]) ).
fof(p2_12,axiom,
! [VAR_0,VAR_1] :
( ~ p3(VAR_0,VAR_1)
| p2(f9(VAR_0),f9(VAR_1)) ),
file('theBenchmark.p',p2_12) ).
cnf(c_12,plain,
( ~ p3(A,B)
| p2(f9(A),f9(B)) ),
inference(clausify,[status(thm)],[p2_12]) ).
fof(p3_19,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p3(VAR_2,VAR_1)
| ~ p3(VAR_2,VAR_0)
| p3(VAR_0,VAR_1) ),
file('theBenchmark.p',p3_19) ).
cnf(c_19,plain,
( ~ p3(C,B)
| ~ p3(C,A)
| p3(A,B) ),
inference(clausify,[status(thm)],[p3_19]) ).
fof(p17_20,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p17(VAR_2,VAR_3)
| ~ p2(VAR_3,VAR_1)
| ~ p2(VAR_2,VAR_0)
| p17(VAR_0,VAR_1) ),
file('theBenchmark.p',p17_20) ).
cnf(c_20,plain,
( ~ p17(C,D)
| ~ p2(D,B)
| ~ p2(C,A)
| p17(A,B) ),
inference(clausify,[status(thm)],[p17_20]) ).
fof(p17_23,axiom,
p17(f9(f10(f14(f4(f9(c19)),c19),c22)),f6(f7(f8(c20)))),
file('theBenchmark.p',p17_23) ).
cnf(c_23,plain,
p17(f9(f10(f14(f4(f9(c19)),c19),c22)),f6(f7(f8(c20)))),
inference(clausify,[status(thm)],[p17_23]) ).
fof(p3_25,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_1,VAR_3)
| ~ p3(VAR_0,VAR_2)
| p3(f10(VAR_0,VAR_1),f10(VAR_2,VAR_3)) ),
file('theBenchmark.p',p3_25) ).
cnf(c_25,plain,
( ~ p3(B,D)
| ~ p3(A,C)
| p3(f10(A,B),f10(C,D)) ),
inference(clausify,[status(thm)],[p3_25]) ).
fof(not_p17_29,axiom,
! [VAR_0] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(VAR_0,c21))),f6(f7(f8(c20)))),
file('theBenchmark.p',not_p17_29) ).
cnf(c_29,plain,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(A,c21))),f6(f7(f8(c20)))),
inference(clausify,[status(thm)],[not_p17_29]) ).
cnf(c_179,plain,
( ~ p3(f12(c22,c21),A)
| p3(c22,A) ),
inference(resolve,[status(thm)],[c_19,c_6]) ).
cnf(c_50,plain,
p3(c22,f12(c22,c21)),
inference(resolve,[status(thm)],[c_179,c_4]) ).
cnf(c_180,plain,
( ~ p17(A,C)
| ~ p2(C,f6(f7(f8(c20))))
| ~ p2(A,f9(f10(f14(f4(f9(c19)),c19),f12(B,c21)))) ),
inference(resolve,[status(thm)],[c_20,c_29]) ).
cnf(c_181,plain,
( ~ p17(A,f6(f7(f8(c20))))
| ~ p2(A,f9(f10(f14(f4(f9(c19)),c19),f12(B,c21)))) ),
inference(resolve,[status(thm)],[c_180,c_2]) ).
cnf(c_170,plain,
~ p2(f9(f10(f14(f4(f9(c19)),c19),c22)),f9(f10(f14(f4(f9(c19)),c19),f12(A,c21)))),
inference(resolve,[status(thm)],[c_181,c_23]) ).
cnf(c_176,plain,
~ p3(f10(f14(f4(f9(c19)),c19),c22),f10(f14(f4(f9(c19)),c19),f12(A,c21))),
inference(resolve,[status(thm)],[c_12,c_170]) ).
cnf(c_182,plain,
( ~ p3(c22,f12(A,c21))
| ~ p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19)) ),
inference(resolve,[status(thm)],[c_25,c_176]) ).
cnf(c_177,plain,
~ p3(c22,f12(A,c21)),
inference(resolve,[status(thm)],[c_182,c_4]) ).
cnf(c_178,plain,
$false,
inference(resolve,[status(thm)],[c_177,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN605-1 : 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 : n002.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 18:18:20 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 2358396 was started by sandbox on n002,
% 0.08/0.36 % Sat Sep 26 18:18:20 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.36
% 0.08/0.36 % From the command line: assign(max_seconds, 300).
% 0.08/0.38
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.38
% 0.08/0.38 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.08/0.38 % Length of proof is 14.
% 0.08/0.38 % Level of proof is 4.
% 0.08/0.38 % Maximum clause weight is 49.000.
% 0.08/0.38 % Given clauses 40.
% 0.08/0.38
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------