%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN587-1 : 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 : n008.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 0.08s 5.56s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 14 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 28 ~; 19 |; 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 : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p3_3,axiom,
! [VAR_0] : p3(VAR_0,VAR_0),
file('theBenchmark.p',p3_3) ).
cnf(c_3,plain,
p3(A,A),
inference(clausify,[status(thm)],[p3_3]) ).
fof(p2_4,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_4) ).
cnf(c_4,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_4]) ).
fof(p3_5,axiom,
p3(c21,c19),
file('theBenchmark.p',p3_5) ).
cnf(c_5,plain,
p3(c21,c19),
inference(clausify,[status(thm)],[p3_5]) ).
fof(p3_15,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_15) ).
cnf(c_15,plain,
( ~ p3(C,B)
| ~ p3(C,A)
| p3(A,B) ),
inference(clausify,[status(thm)],[p3_15]) ).
fof(p15_17,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_17) ).
cnf(c_17,plain,
( ~ p15(C,D)
| ~ p2(D,B)
| ~ p2(C,A)
| p15(A,B) ),
inference(clausify,[status(thm)],[p15_17]) ).
fof(p15_18,axiom,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('theBenchmark.p',p15_18) ).
cnf(c_18,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
inference(clausify,[status(thm)],[p15_18]) ).
fof(not_p15_19,axiom,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file('theBenchmark.p',not_p15_19) ).
cnf(c_19,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
inference(clausify,[status(thm)],[not_p15_19]) ).
fof(p2_20,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p2(f4(VAR_0,VAR_1),f4(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_20) ).
cnf(c_20,plain,
( ~ p3(B,D)
| ~ p2(A,C)
| p2(f4(A,B),f4(C,D)) ),
inference(clausify,[status(thm)],[p2_20]) ).
cnf(c_81,plain,
( ~ p15(A,B)
| ~ p2(B,c20)
| ~ p2(A,f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21)) ),
inference(resolve,[status(thm)],[c_17,c_19]) ).
cnf(c_82,plain,
( ~ p15(A,c20)
| ~ p2(A,f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21)) ),
inference(resolve,[status(thm)],[c_81,c_4]) ).
cnf(c_41,plain,
~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21)),
inference(resolve,[status(thm)],[c_82,c_18]) ).
cnf(c_83,plain,
( ~ p3(c19,c21)
| ~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f6(f10(c16),f6(f7(f8(f9(c17))),c18))) ),
inference(resolve,[status(thm)],[c_20,c_41]) ).
cnf(c_54,plain,
~ p3(c19,c21),
inference(resolve,[status(thm)],[c_83,c_4]) ).
cnf(c_84,plain,
( ~ p3(A,c21)
| ~ p3(A,c19) ),
inference(resolve,[status(thm)],[c_15,c_54]) ).
cnf(c_85,plain,
~ p3(c21,c19),
inference(resolve,[status(thm)],[c_84,c_3]) ).
cnf(c_80,plain,
$false,
inference(resolve,[status(thm)],[c_5,c_85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN587-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.54 % Computer : n008.cluster.edu
% 0.08/5.54 % Model : x86_64 x86_64
% 0.08/5.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.54 % Memory : 8046.5625MB
% 0.08/5.54 % OS : Linux 6.8.0-71-generic
% 0.08/5.54 % CPULimit : 300
% 0.08/5.54 % WCLimit : 300
% 0.08/5.54 % DateTime : Sat Sep 26 18:15:44 UTC 2026
% 0.08/5.54 % CPUTime :
% 0.08/5.54 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/5.54 % Process 64987 was started by sandbox2 on n008,
% 0.08/5.54 % Sat Sep 26 18:15:44 2026
% 0.08/5.54 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/5.55
% 0.08/5.55 % From the command line: assign(max_seconds, 300).
% 0.08/5.56
% 0.08/5.56 % SZS status Unsatisfiable for theBenchmark
% 0.08/5.56
% 0.08/5.56 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.08/5.56 % Length of proof is 11.
% 0.08/5.56 % Level of proof is 3.
% 0.08/5.56 % Maximum clause weight is 23.000.
% 0.08/5.56 % Given clauses 38.
% 0.08/5.56
% 0.08/5.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------