%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN618-1 : 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 : n001.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 09:38:58 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 21 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 35 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p5_3,axiom,
! [VAR_0] : p5(VAR_0,VAR_0),
file('theBenchmark.p',p5_3) ).
cnf(c_3,plain,
p5(A,A),
inference(clausify,[status(thm)],[p5_3]) ).
fof(p2_5,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_5) ).
cnf(c_5,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_5]) ).
fof(p13_8,axiom,
p13(c23,c21),
file('theBenchmark.p',p13_8) ).
cnf(c_8,plain,
p13(c23,c21),
inference(clausify,[status(thm)],[p13_8]) ).
fof(p13_9,axiom,
p13(c19,c23),
file('theBenchmark.p',p13_9) ).
cnf(c_9,plain,
p13(c19,c23),
inference(clausify,[status(thm)],[p13_9]) ).
fof(p2_12,axiom,
p2(c17,f3(c16)),
file('theBenchmark.p',p2_12) ).
cnf(c_12,plain,
p2(c17,f3(c16)),
inference(clausify,[status(thm)],[p2_12]) ).
fof(p5_16,axiom,
p5(f8(f3(c16),c23),f6(f7(c22))),
file('theBenchmark.p',p5_16) ).
cnf(c_16,plain,
p5(f8(f3(c16),c23),f6(f7(c22))),
inference(clausify,[status(thm)],[p5_16]) ).
fof(not_p5_17,axiom,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
file('theBenchmark.p',not_p5_17) ).
cnf(c_17,plain,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
inference(clausify,[status(thm)],[not_p5_17]) ).
fof(p5_22,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p5(VAR_2,VAR_1)
| ~ p5(VAR_2,VAR_0)
| p5(VAR_0,VAR_1) ),
file('theBenchmark.p',p5_22) ).
cnf(c_22,plain,
( ~ p5(C,B)
| ~ p5(C,A)
| p5(A,B) ),
inference(clausify,[status(thm)],[p5_22]) ).
fof(p2_24,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_24) ).
cnf(c_24,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_24]) ).
fof(p5_30,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p5(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p5(f8(VAR_0,VAR_1),f8(VAR_2,VAR_3)) ),
file('theBenchmark.p',p5_30) ).
cnf(c_30,plain,
( ~ p5(B,D)
| ~ p2(A,C)
| p5(f8(A,B),f8(C,D)) ),
inference(clausify,[status(thm)],[p5_30]) ).
fof(p5_31,axiom,
! [VAR_0] :
( ~ p5(f8(c17,VAR_0),f6(f7(c22)))
| ~ p13(c19,VAR_0)
| ~ p13(VAR_0,c21)
| p5(VAR_0,c20) ),
file('theBenchmark.p',p5_31) ).
cnf(c_31,plain,
( ~ p5(f8(c17,A),f6(f7(c22)))
| ~ p13(c19,A)
| ~ p13(A,c21)
| p5(A,c20) ),
inference(clausify,[status(thm)],[p5_31]) ).
cnf(c_117,plain,
( ~ p5(A,f6(f7(c22)))
| ~ p5(A,f8(f3(c16),c20)) ),
inference(resolve,[status(thm)],[c_22,c_17]) ).
cnf(c_38,plain,
~ p5(f8(f3(c16),c23),f8(f3(c16),c20)),
inference(resolve,[status(thm)],[c_117,c_16]) ).
cnf(c_118,plain,
( ~ p2(c17,A)
| p2(f3(c16),A) ),
inference(resolve,[status(thm)],[c_24,c_12]) ).
cnf(c_41,plain,
p2(f3(c16),c17),
inference(resolve,[status(thm)],[c_118,c_5]) ).
cnf(c_119,plain,
( ~ p5(A,B)
| p5(f8(f3(c16),A),f8(c17,B)) ),
inference(resolve,[status(thm)],[c_30,c_41]) ).
cnf(c_72,plain,
p5(f8(f3(c16),A),f8(c17,A)),
inference(resolve,[status(thm)],[c_119,c_3]) ).
cnf(c_120,plain,
( ~ p5(c23,c20)
| ~ p2(f3(c16),f3(c16)) ),
inference(resolve,[status(thm)],[c_30,c_38]) ).
cnf(c_89,plain,
~ p5(c23,c20),
inference(resolve,[status(thm)],[c_120,c_5]) ).
cnf(c_121,plain,
( ~ p5(f8(c17,c23),f6(f7(c22)))
| ~ p13(c19,c23)
| ~ p13(c23,c21) ),
inference(resolve,[status(thm)],[c_31,c_89]) ).
cnf(c_122,plain,
( ~ p5(f8(c17,c23),f6(f7(c22)))
| ~ p13(c19,c23) ),
inference(resolve,[status(thm)],[c_121,c_8]) ).
cnf(c_102,plain,
~ p5(f8(c17,c23),f6(f7(c22))),
inference(resolve,[status(thm)],[c_122,c_9]) ).
cnf(c_123,plain,
( ~ p5(f8(f3(c16),A),B)
| p5(f8(c17,A),B) ),
inference(resolve,[status(thm)],[c_22,c_72]) ).
cnf(c_115,plain,
p5(f8(c17,c23),f6(f7(c22))),
inference(resolve,[status(thm)],[c_123,c_16]) ).
cnf(c_116,plain,
$false,
inference(resolve,[status(thm)],[c_115,c_102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN618-1 : 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 : n001.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
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 18:22:45 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 2412570 was started by sandbox2 on n001,
% 0.08/0.35 % Sat Sep 26 18:22:45 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.36
% 0.08/0.36 % From the command line: assign(max_seconds, 300).
% 0.13/0.37
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37
% 0.13/0.37 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.13/0.37 % Length of proof is 18.
% 0.13/0.37 % Level of proof is 4.
% 0.13/0.37 % Maximum clause weight is 31.000.
% 0.13/0.37 % Given clauses 54.
% 0.13/0.37
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------