%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN638-1 : 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 : n004.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 09:39:00 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 38 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p4_4,axiom,
! [VAR_0] : p4(VAR_0,VAR_0),
file('theBenchmark.p',p4_4) ).
cnf(c_4,plain,
p4(A,A),
inference(clausify,[status(thm)],[p4_4]) ).
fof(p4_12,axiom,
! [VAR_0,VAR_1] :
( ~ p4(VAR_0,VAR_1)
| p4(f16(VAR_0),f16(VAR_1)) ),
file('theBenchmark.p',p4_12) ).
cnf(c_12,plain,
( ~ p4(A,B)
| p4(f16(A),f16(B)) ),
inference(clausify,[status(thm)],[p4_12]) ).
fof(p22_28,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p22(VAR_2,VAR_3)
| ~ p4(VAR_3,VAR_1)
| ~ p4(VAR_2,VAR_0)
| p22(VAR_0,VAR_1) ),
file('theBenchmark.p',p22_28) ).
cnf(c_28,plain,
( ~ p22(C,D)
| ~ p4(D,B)
| ~ p4(C,A)
| p22(A,B) ),
inference(clausify,[status(thm)],[p22_28]) ).
fof(p4_32,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p4(VAR_1,VAR_3)
| ~ p4(VAR_0,VAR_2)
| p4(f17(VAR_0,VAR_1),f17(VAR_2,VAR_3)) ),
file('theBenchmark.p',p4_32) ).
cnf(c_32,plain,
( ~ p4(B,D)
| ~ p4(A,C)
| p4(f17(A,B),f17(C,D)) ),
inference(clausify,[status(thm)],[p4_32]) ).
fof(p4_39,axiom,
! [VAR_0] : p4(f5(f8(f11(c25),f9(f10(c25),c28)),VAR_0,c27),f5(f8(f11(c25),f9(f10(c25),c28)),VAR_0,c29)),
file('theBenchmark.p',p4_39) ).
cnf(c_39,plain,
p4(f5(f8(f11(c25),f9(f10(c25),c28)),A,c27),f5(f8(f11(c25),f9(f10(c25),c28)),A,c29)),
inference(clausify,[status(thm)],[p4_39]) ).
fof(p22_40,axiom,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
file('theBenchmark.p',p22_40) ).
cnf(c_40,plain,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
inference(clausify,[status(thm)],[p22_40]) ).
fof(not_p22_41,axiom,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
file('theBenchmark.p',not_p22_41) ).
cnf(c_41,plain,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
inference(clausify,[status(thm)],[not_p22_41]) ).
cnf(c_206,plain,
( ~ p4(B,C)
| p4(f17(A,B),f17(A,C)) ),
inference(resolve,[status(thm)],[c_32,c_4]) ).
cnf(c_44,plain,
p4(f17(A,f5(f8(f11(c25),f9(f10(c25),c28)),B,c27)),f17(A,f5(f8(f11(c25),f9(f10(c25),c28)),B,c29))),
inference(resolve,[status(thm)],[c_206,c_39]) ).
cnf(c_70,plain,
p4(f16(f17(A,f5(f8(f11(c25),f9(f10(c25),c28)),B,c27))),f16(f17(A,f5(f8(f11(c25),f9(f10(c25),c28)),B,c29)))),
inference(resolve,[status(thm)],[c_12,c_44]) ).
cnf(c_207,plain,
( ~ p22(f16(f17(A,f5(f8(f11(c25),f9(f10(c25),c28)),B,c27))),D)
| ~ p4(D,C)
| p22(f16(f17(A,f5(f8(f11(c25),f9(f10(c25),c28)),B,c29))),C) ),
inference(resolve,[status(thm)],[c_28,c_70]) ).
cnf(c_208,plain,
( ~ p22(f16(f17(A,f5(f8(f11(c25),f9(f10(c25),c28)),B,c27))),C)
| p22(f16(f17(A,f5(f8(f11(c25),f9(f10(c25),c28)),B,c29))),C) ),
inference(resolve,[status(thm)],[c_207,c_4]) ).
cnf(c_204,plain,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
inference(resolve,[status(thm)],[c_208,c_40]) ).
cnf(c_205,plain,
$false,
inference(resolve,[status(thm)],[c_204,c_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN638-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 18:17:21 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 2332407 was started by sandbox2 on n004,
% 0.10/0.36 % Sat Sep 26 18:17:21 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.36
% 0.10/0.36 % From the command line: assign(max_seconds, 300).
% 0.10/0.41
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.41
% 0.10/0.41 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.10/0.41 % Length of proof is 11.
% 0.10/0.41 % Level of proof is 4.
% 0.10/0.41 % Maximum clause weight is 62.000.
% 0.10/0.41 % Given clauses 55.
% 0.10/0.41
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------