%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN595-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 09:38:55 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 14 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 28 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 11 !; 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(p7_2,axiom,
! [VAR_0] : p7(VAR_0,VAR_0),
file('theBenchmark.p',p7_2) ).
cnf(c_2,plain,
p7(A,A),
inference(clausify,[status(thm)],[p7_2]) ).
fof(p14_5,axiom,
p14(c18,f3(f4(f5(c17)))),
file('theBenchmark.p',p14_5) ).
cnf(c_5,plain,
p14(c18,f3(f4(f5(c17)))),
inference(clausify,[status(thm)],[p14_5]) ).
fof(p15_6,axiom,
! [VAR_0,VAR_1] :
( ~ p14(VAR_0,VAR_1)
| p15(VAR_0,VAR_1) ),
file('theBenchmark.p',p15_6) ).
cnf(c_6,plain,
( ~ p14(A,B)
| p15(A,B) ),
inference(clausify,[status(thm)],[p15_6]) ).
fof(p14_8,axiom,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('theBenchmark.p',p14_8) ).
cnf(c_8,plain,
p14(c19,f6(f3(f4(f5(c17))),c16)),
inference(clausify,[status(thm)],[p14_8]) ).
fof(p2_17,axiom,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file('theBenchmark.p',p2_17) ).
cnf(c_17,plain,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(clausify,[status(thm)],[p2_17]) ).
fof(p15_19,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p15(VAR_2,VAR_3)
| ~ p2(VAR_3,VAR_1)
| ~ p2(VAR_2,VAR_0)
| p15(VAR_0,VAR_1) ),
file('theBenchmark.p',p15_19) ).
cnf(c_19,plain,
( ~ p15(C,D)
| ~ p2(D,B)
| ~ p2(C,A)
| p15(A,B) ),
inference(clausify,[status(thm)],[p15_19]) ).
fof(not_p2_26,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),VAR_1),f8(f10(f11(f3(f4(f5(c17)))),VAR_0),f9(f11(VAR_2),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(VAR_2,f6(f3(f4(f5(c17))),c16))
| ~ p14(VAR_1,f3(f4(f5(c17))))
| ~ p2(VAR_0,f3(c17)) ),
file('theBenchmark.p',not_p2_26) ).
cnf(c_26,plain,
( ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),B),f8(f10(f11(f3(f4(f5(c17)))),A),f9(f11(C),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(C,f6(f3(f4(f5(c17))),c16))
| ~ p14(B,f3(f4(f5(c17))))
| ~ p2(A,f3(c17)) ),
inference(clausify,[status(thm)],[not_p2_26]) ).
cnf(c_40,plain,
p15(c19,f6(f3(f4(f5(c17))),c16)),
inference(resolve,[status(thm)],[c_8,c_6]) ).
cnf(c_227,plain,
( ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),A),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(B),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(B,f6(f3(f4(f5(c17))),c16))
| ~ p14(A,f3(f4(f5(c17)))) ),
inference(resolve,[status(thm)],[c_26,c_1]) ).
cnf(c_228,plain,
( ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(A),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(A,f6(f3(f4(f5(c17))),c16)) ),
inference(resolve,[status(thm)],[c_227,c_5]) ).
cnf(c_85,plain,
~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16)),
inference(resolve,[status(thm)],[c_228,c_2]) ).
cnf(c_229,plain,
( ~ p15(A,B)
| ~ p2(B,f6(f3(f4(f5(c17))),c16))
| ~ p2(A,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))) ),
inference(resolve,[status(thm)],[c_19,c_85]) ).
cnf(c_230,plain,
( ~ p15(A,f6(f3(f4(f5(c17))),c16))
| ~ p2(A,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))) ),
inference(resolve,[status(thm)],[c_229,c_1]) ).
cnf(c_231,plain,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(resolve,[status(thm)],[c_230,c_40]) ).
cnf(c_226,plain,
$false,
inference(resolve,[status(thm)],[c_17,c_231]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN595-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n020.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 18:16:20 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.46 % Process 2218775 was started by sandbox2 on n020,
% 0.19/0.46 % Sat Sep 26 18:16:20 2026
% 0.19/0.46 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.19/0.47
% 0.19/0.47 % From the command line: assign(max_seconds, 300).
% 0.19/0.50
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50
% 0.19/0.50 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.19/0.50 % Length of proof is 11.
% 0.19/0.50 % Level of proof is 2.
% 0.19/0.50 % Maximum clause weight is 81.000.
% 0.19/0.50 % Given clauses 71.
% 0.19/0.50
% 0.19/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------