%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN584-1 : 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 : n016.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 09:38:53 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.67s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 19 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p12_1,axiom,
! [VAR_0] : p12(VAR_0,VAR_0),
file('theBenchmark.p',p12_1) ).
cnf(c_1,plain,
p12(A,A),
inference(clausify,[status(thm)],[p12_1]) ).
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(p12_9,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p12(VAR_2,VAR_1)
| ~ p12(VAR_2,VAR_0)
| p12(VAR_0,VAR_1) ),
file('theBenchmark.p',p12_9) ).
cnf(c_9,plain,
( ~ p12(C,B)
| ~ p12(C,A)
| p12(A,B) ),
inference(clausify,[status(thm)],[p12_9]) ).
fof(p15_15,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p12(VAR_2,VAR_0)
| ~ p3(VAR_3,VAR_1)
| ~ p15(VAR_2,VAR_3)
| p15(VAR_0,VAR_1) ),
file('theBenchmark.p',p15_15) ).
cnf(c_15,plain,
( ~ p12(C,A)
| ~ p3(D,B)
| ~ p15(C,D)
| p15(A,B) ),
inference(clausify,[status(thm)],[p15_15]) ).
fof(p15_21,axiom,
p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
file('theBenchmark.p',p15_21) ).
cnf(c_21,plain,
p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
inference(clausify,[status(thm)],[p15_21]) ).
fof(p12_23,axiom,
p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22),
file('theBenchmark.p',p12_23) ).
cnf(c_23,plain,
p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22),
inference(clausify,[status(thm)],[p12_23]) ).
fof(not_p15_25,axiom,
~ p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
file('theBenchmark.p',not_p15_25) ).
cnf(c_25,plain,
~ p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
inference(clausify,[status(thm)],[not_p15_25]) ).
cnf(c_39,plain,
( ~ p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),A)
| p12(c22,A) ),
inference(resolve,[status(thm)],[c_9,c_23]) ).
cnf(c_30,plain,
p12(c22,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))),
inference(resolve,[status(thm)],[c_39,c_1]) ).
cnf(c_40,plain,
( ~ p12(A,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)))
| ~ p3(B,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))))
| ~ p15(A,B) ),
inference(resolve,[status(thm)],[c_15,c_25]) ).
cnf(c_41,plain,
( ~ p12(c22,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)))
| ~ p3(f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))) ),
inference(resolve,[status(thm)],[c_40,c_21]) ).
cnf(c_42,plain,
~ p12(c22,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))),
inference(resolve,[status(thm)],[c_41,c_4]) ).
cnf(c_38,plain,
$false,
inference(resolve,[status(thm)],[c_30,c_42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN584-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.65 % Computer : n016.cluster.edu
% 0.19/0.65 % Model : x86_64 x86_64
% 0.19/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.65 % Memory : 8046.5625MB
% 0.19/0.65 % OS : Linux 6.8.0-71-generic
% 0.19/0.65 % CPULimit : 300
% 0.19/0.65 % WCLimit : 300
% 0.19/0.65 % DateTime : Sat Sep 26 18:19:47 UTC 2026
% 0.19/0.66 % CPUTime :
% 0.19/0.66 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.66 % Process 1452725 was started by sandbox on n016,
% 0.19/0.66 % Sat Sep 26 18:19:47 2026
% 0.19/0.66 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.19/0.66
% 0.19/0.66 % From the command line: assign(max_seconds, 300).
% 0.19/0.67
% 0.19/0.67 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.67
% 0.19/0.67 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.19/0.67 % Length of proof is 9.
% 0.19/0.67 % Level of proof is 2.
% 0.19/0.67 % Maximum clause weight is 32.000.
% 0.19/0.67 % Given clauses 25.
% 0.19/0.67
% 0.19/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------