%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN565-1 : 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 : n011.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 09:38:51 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 20 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 29 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 24 !; 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(p2_3,axiom,
! [VAR_0] : p2(f5(f7(VAR_0)),f5(VAR_0)),
file('theBenchmark.p',p2_3) ).
cnf(c_3,plain,
p2(f5(f7(A)),f5(A)),
inference(clausify,[status(thm)],[p2_3]) ).
fof(p4_4,axiom,
! [VAR_0,VAR_1] : p4(f8(VAR_0,VAR_1),f6(VAR_0,f7(VAR_1))),
file('theBenchmark.p',p4_4) ).
cnf(c_4,plain,
p4(f8(A,B),f6(A,f7(B))),
inference(clausify,[status(thm)],[p4_4]) ).
fof(p4_5,axiom,
! [VAR_0,VAR_1] : p4(f7(f8(VAR_0,VAR_1)),f8(VAR_1,VAR_0)),
file('theBenchmark.p',p4_5) ).
cnf(c_5,plain,
p4(f7(f8(A,B)),f8(B,A)),
inference(clausify,[status(thm)],[p4_5]) ).
fof(p2_6,axiom,
! [VAR_0,VAR_1] :
( ~ p4(VAR_0,VAR_1)
| p2(f5(VAR_0),f5(VAR_1)) ),
file('theBenchmark.p',p2_6) ).
cnf(c_6,plain,
( ~ p4(A,B)
| p2(f5(A),f5(B)) ),
inference(clausify,[status(thm)],[p2_6]) ).
fof(p2_8,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_8) ).
cnf(c_8,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_8]) ).
fof(p10_10,axiom,
! [VAR_0,VAR_1] : p10(f5(VAR_0),f3(f5(f6(VAR_0,VAR_1)),f5(VAR_1))),
file('theBenchmark.p',p10_10) ).
cnf(c_10,plain,
p10(f5(A),f3(f5(f6(A,B)),f5(B))),
inference(clausify,[status(thm)],[p10_10]) ).
fof(not_p10_11,axiom,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
file('theBenchmark.p',not_p10_11) ).
cnf(c_11,plain,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
inference(clausify,[status(thm)],[not_p10_11]) ).
fof(p10_13,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p10(VAR_0,f3(VAR_2,VAR_1))
| p10(f9(VAR_0,VAR_1),VAR_2) ),
file('theBenchmark.p',p10_13) ).
cnf(c_13,plain,
( ~ p10(A,f3(C,B))
| p10(f9(A,B),C) ),
inference(clausify,[status(thm)],[p10_13]) ).
fof(p10_14,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p10(VAR_2,VAR_3)
| ~ p2(VAR_3,VAR_1)
| ~ p2(VAR_2,VAR_0)
| p10(VAR_0,VAR_1) ),
file('theBenchmark.p',p10_14) ).
cnf(c_14,plain,
( ~ p10(C,D)
| ~ p2(D,B)
| ~ p2(C,A)
| p10(A,B) ),
inference(clausify,[status(thm)],[p10_14]) ).
fof(p2_17,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p2(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p2(f9(VAR_0,VAR_1),f9(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_17) ).
cnf(c_17,plain,
( ~ p2(B,D)
| ~ p2(A,C)
| p2(f9(A,B),f9(C,D)) ),
inference(clausify,[status(thm)],[p2_17]) ).
cnf(c_19,plain,
p2(f5(f7(f8(A,B))),f5(f8(B,A))),
inference(resolve,[status(thm)],[c_6,c_5]) ).
cnf(c_20,plain,
p2(f5(f8(A,B)),f5(f6(A,f7(B)))),
inference(resolve,[status(thm)],[c_6,c_4]) ).
cnf(c_27,plain,
p10(f9(f5(A),f5(B)),f5(f6(A,B))),
inference(resolve,[status(thm)],[c_13,c_10]) ).
cnf(c_28,plain,
( ~ p10(A,B)
| ~ p2(B,f5(f8(c12,c11)))
| ~ p2(A,f9(f5(c11),f5(c12))) ),
inference(resolve,[status(thm)],[c_14,c_11]) ).
cnf(c_1069,plain,
( ~ p2(B,C)
| p2(f9(A,B),f9(A,C)) ),
inference(resolve,[status(thm)],[c_17,c_1]) ).
cnf(c_44,plain,
p2(f9(A,f5(f7(B))),f9(A,f5(B))),
inference(resolve,[status(thm)],[c_1069,c_3]) ).
cnf(c_1070,plain,
( ~ p2(f5(f7(A)),B)
| p2(f5(A),B) ),
inference(resolve,[status(thm)],[c_8,c_3]) ).
cnf(c_64,plain,
p2(f5(f8(A,B)),f5(f8(B,A))),
inference(resolve,[status(thm)],[c_1070,c_19]) ).
cnf(c_1071,plain,
( ~ p2(f5(f8(A,B)),C)
| p2(f5(f6(A,f7(B))),C) ),
inference(resolve,[status(thm)],[c_8,c_20]) ).
cnf(c_364,plain,
p2(f5(f6(A,f7(B))),f5(f8(B,A))),
inference(resolve,[status(thm)],[c_1071,c_64]) ).
cnf(c_1072,plain,
( ~ p10(f9(f5(c11),f5(f7(c12))),A)
| ~ p2(A,f5(f8(c12,c11))) ),
inference(resolve,[status(thm)],[c_28,c_44]) ).
cnf(c_1067,plain,
~ p2(f5(f6(c11,f7(c12))),f5(f8(c12,c11))),
inference(resolve,[status(thm)],[c_1072,c_27]) ).
cnf(c_1068,plain,
$false,
inference(resolve,[status(thm)],[c_1067,c_364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN565-1 : 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 : n011.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 18:14:14 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 1240246 was started by sandbox2 on n011,
% 0.08/0.35 % Sat Sep 26 18:14:14 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.35
% 0.08/0.35 % From the command line: assign(max_seconds, 300).
% 0.12/0.40
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.40
% 0.12/0.40 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.12/0.40 % Length of proof is 20.
% 0.12/0.40 % Level of proof is 4.
% 0.12/0.40 % Maximum clause weight is 16.000.
% 0.12/0.40 % Given clauses 62.
% 0.12/0.40
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------