%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN594-1 : 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 : n006.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 09:38:54 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 17 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 27 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 26 ( 3 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(p14_4,axiom,
p14(c18,f3(f4(f5(c17)))),
file('theBenchmark.p',p14_4) ).
cnf(c_4,plain,
p14(c18,f3(f4(f5(c17)))),
inference(clausify,[status(thm)],[p14_4]) ).
fof(p15_5,axiom,
! [VAR_0,VAR_1] :
( ~ p14(VAR_0,VAR_1)
| p15(VAR_0,VAR_1) ),
file('theBenchmark.p',p15_5) ).
cnf(c_5,plain,
( ~ p14(A,B)
| p15(A,B) ),
inference(clausify,[status(thm)],[p15_5]) ).
fof(p14_7,axiom,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('theBenchmark.p',p14_7) ).
cnf(c_7,plain,
p14(c19,f6(f3(f4(f5(c17))),c16)),
inference(clausify,[status(thm)],[p14_7]) ).
fof(p14_13,axiom,
! [VAR_0,VAR_1] :
( ~ p15(VAR_0,VAR_1)
| p2(VAR_0,VAR_1)
| p14(VAR_0,VAR_1) ),
file('theBenchmark.p',p14_13) ).
cnf(c_13,plain,
( ~ p15(A,B)
| p2(A,B)
| p14(A,B) ),
inference(clausify,[status(thm)],[p14_13]) ).
fof(p2_15,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_15) ).
cnf(c_15,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_15]) ).
fof(p15_16,axiom,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
file('theBenchmark.p',p15_16) ).
cnf(c_16,plain,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(clausify,[status(thm)],[p15_16]) ).
fof(not_p2_17,axiom,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file('theBenchmark.p',not_p2_17) ).
cnf(c_17,plain,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(clausify,[status(thm)],[not_p2_17]) ).
fof(p7_25,axiom,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
file('theBenchmark.p',p7_25) ).
cnf(c_25,plain,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
inference(clausify,[status(thm)],[p7_25]) ).
fof(not_p14_27,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),VAR_0),f8(f10(f11(f3(f4(f5(c17)))),VAR_2),f9(f11(VAR_1),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),VAR_1)
| ~ p15(VAR_1,f6(f3(f4(f5(c17))),c16))
| ~ p14(VAR_0,f3(f4(f5(c17)))) ),
file('theBenchmark.p',not_p14_27) ).
cnf(c_27,plain,
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),A),f8(f10(f11(f3(f4(f5(c17)))),C),f9(f11(B),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),B)
| ~ p15(B,f6(f3(f4(f5(c17))),c16))
| ~ p14(A,f3(f4(f5(c17)))) ),
inference(clausify,[status(thm)],[not_p14_27]) ).
cnf(c_39,plain,
p15(c19,f6(f3(f4(f5(c17))),c16)),
inference(resolve,[status(thm)],[c_7,c_5]) ).
cnf(c_43,plain,
( p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)
| p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
inference(resolve,[status(thm)],[c_16,c_13]) ).
cnf(c_75,plain,
( ~ p2(A,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))))
| ~ p2(A,c19) ),
inference(resolve,[status(thm)],[c_15,c_17]) ).
cnf(c_44,plain,
~ p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(resolve,[status(thm)],[c_75,c_1]) ).
cnf(c_45,plain,
p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(resolve,[status(thm)],[c_44,c_43]) ).
cnf(c_76,plain,
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),B),f9(f11(A),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),A)
| ~ p15(A,f6(f3(f4(f5(c17))),c16)) ),
inference(resolve,[status(thm)],[c_27,c_4]) ).
cnf(c_77,plain,
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),A),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
inference(resolve,[status(thm)],[c_76,c_39]) ).
cnf(c_78,plain,
~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(resolve,[status(thm)],[c_77,c_25]) ).
cnf(c_74,plain,
$false,
inference(resolve,[status(thm)],[c_45,c_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN594-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n006.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 18:15:25 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.43 % Process 1859979 was started by sandbox on n006,
% 0.17/0.43 % Sat Sep 26 18:15:25 2026
% 0.17/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/0.44
% 0.17/0.44 % From the command line: assign(max_seconds, 300).
% 0.17/0.45
% 0.17/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.45
% 0.17/0.45 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.17/0.45 % Length of proof is 15.
% 0.17/0.45 % Level of proof is 3.
% 0.17/0.45 % Maximum clause weight is 101.000.
% 0.17/0.45 % Given clauses 47.
% 0.17/0.45
% 0.17/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------