%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN612-1 : 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 09:38:57 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : CNFRefutation 0.09s
% 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 : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 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(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(p3_22,axiom,
p3(f12(f4(f6(f7(f8(c20)))),c21),f4(f6(f7(f8(c20))))),
file('theBenchmark.p',p3_22) ).
cnf(c_22,plain,
p3(f12(f4(f6(f7(f8(c20)))),c21),f4(f6(f7(f8(c20))))),
inference(clausify,[status(thm)],[p3_22]) ).
fof(p3_24,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_24) ).
cnf(c_24,plain,
( ~ p3(B,D)
| ~ p3(A,C)
| p3(f10(A,B),f10(C,D)) ),
inference(clausify,[status(thm)],[p3_24]) ).
fof(not_p17_28,axiom,
! [VAR_0] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(VAR_0,c21))),f6(f7(f8(c20)))),
file('theBenchmark.p',not_p17_28) ).
cnf(c_28,plain,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(A,c21))),f6(f7(f8(c20)))),
inference(clausify,[status(thm)],[not_p17_28]) ).
fof(p17_29,axiom,
p17(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f6(f7(f8(c20)))),
file('theBenchmark.p',p17_29) ).
cnf(c_29,plain,
p17(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f6(f7(f8(c20)))),
inference(clausify,[status(thm)],[p17_29]) ).
cnf(c_48,plain,
( ~ p3(B,A)
| p3(A,B) ),
inference(resolve,[status(thm)],[c_19,c_4]) ).
cnf(c_113,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_28]) ).
cnf(c_114,plain,
( ~ p17(A,f6(f7(f8(c20))))
| ~ p2(A,f9(f10(f14(f4(f9(c19)),c19),f12(B,c21)))) ),
inference(resolve,[status(thm)],[c_113,c_2]) ).
cnf(c_90,plain,
~ p2(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f9(f10(f14(f4(f9(c19)),c19),f12(A,c21)))),
inference(resolve,[status(thm)],[c_114,c_29]) ).
cnf(c_107,plain,
~ p3(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20))))),f10(f14(f4(f9(c19)),c19),f12(A,c21))),
inference(resolve,[status(thm)],[c_12,c_90]) ).
cnf(c_115,plain,
( ~ p3(f4(f6(f7(f8(c20)))),f12(A,c21))
| ~ p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19)) ),
inference(resolve,[status(thm)],[c_24,c_107]) ).
cnf(c_108,plain,
~ p3(f4(f6(f7(f8(c20)))),f12(A,c21)),
inference(resolve,[status(thm)],[c_115,c_4]) ).
cnf(c_116,plain,
p3(f4(f6(f7(f8(c20)))),f12(f4(f6(f7(f8(c20)))),c21)),
inference(resolve,[status(thm)],[c_48,c_22]) ).
cnf(c_112,plain,
$false,
inference(resolve,[status(thm)],[c_108,c_116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN612-1 : 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 : n009.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 18:16:15 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 825415 was started by sandbox on n009,
% 0.09/0.37 % Sat Sep 26 18:16:15 2026
% 0.09/0.37 % 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).
% 0.09/0.39
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.39
% 0.09/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/0.39 % Length of proof is 14.
% 0.09/0.39 % Level of proof is 4.
% 0.09/0.39 % Maximum clause weight is 23.000.
% 0.09/0.39 % Given clauses 43.
% 0.09/0.39
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------