%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN569-1 : 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 : n010.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 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 20 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 66 ( 37 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 16 !; 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(p8_3,axiom,
p8(c14,c12),
file('theBenchmark.p',p8_3) ).
cnf(c_3,plain,
p8(c14,c12),
inference(clausify,[status(thm)],[p8_3]) ).
fof(p8_5,axiom,
p8(c11,c14),
file('theBenchmark.p',p8_5) ).
cnf(c_5,plain,
p8(c11,c14),
inference(clausify,[status(thm)],[p8_5]) ).
fof(p9_6,axiom,
p9(c13,c15,c14),
file('theBenchmark.p',p9_6) ).
cnf(c_6,plain,
p9(c13,c15,c14),
inference(clausify,[status(thm)],[p9_6]) ).
fof(p10_7,axiom,
! [VAR_0,VAR_1] :
( ~ p8(VAR_0,VAR_1)
| p10(VAR_0,VAR_1) ),
file('theBenchmark.p',p10_7) ).
cnf(c_7,plain,
( ~ p8(A,B)
| p10(A,B) ),
inference(clausify,[status(thm)],[p10_7]) ).
fof(p2_10,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_10) ).
cnf(c_10,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_10]) ).
fof(p2_11,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p9(VAR_2,VAR_1,VAR_3)
| ~ p9(VAR_2,VAR_0,VAR_3)
| p2(VAR_0,VAR_1) ),
file('theBenchmark.p',p2_11) ).
cnf(c_11,plain,
( ~ p9(C,B,D)
| ~ p9(C,A,D)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_11]) ).
fof(p9_12,axiom,
! [VAR_0] :
( ~ p10(c11,VAR_0)
| ~ p10(VAR_0,c12)
| p9(c13,f3(VAR_0),VAR_0) ),
file('theBenchmark.p',p9_12) ).
cnf(c_12,plain,
( ~ p10(c11,A)
| ~ p10(A,c12)
| p9(c13,f3(A),A) ),
inference(clausify,[status(thm)],[p9_12]) ).
fof(p2_15,axiom,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
file('theBenchmark.p',p2_15) ).
cnf(c_15,plain,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
inference(clausify,[status(thm)],[p2_15]) ).
fof(p2_16,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p2(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p2(f4(VAR_0,VAR_1),f4(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_16) ).
cnf(c_16,plain,
( ~ p2(B,D)
| ~ p2(A,C)
| p2(f4(A,B),f4(C,D)) ),
inference(clausify,[status(thm)],[p2_16]) ).
fof(not_p8_20,axiom,
! [VAR_0] :
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(VAR_0)))
| ~ p8(c11,VAR_0)
| ~ p8(VAR_0,c12) ),
file('theBenchmark.p',not_p8_20) ).
cnf(c_20,plain,
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(A)))
| ~ p8(c11,A)
| ~ p8(A,c12) ),
inference(clausify,[status(thm)],[not_p8_20]) ).
cnf(c_21,plain,
p10(c11,c14),
inference(resolve,[status(thm)],[c_7,c_5]) ).
cnf(c_23,plain,
p10(c14,c12),
inference(resolve,[status(thm)],[c_7,c_3]) ).
cnf(c_81,plain,
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),A)
| p2(f4(f5(c12,c11),c15),A) ),
inference(resolve,[status(thm)],[c_10,c_15]) ).
cnf(c_24,plain,
p2(f4(f5(c12,c11),c15),f5(f7(c13,c12),f7(c13,c11))),
inference(resolve,[status(thm)],[c_81,c_1]) ).
cnf(c_82,plain,
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(c14)))
| ~ p8(c11,c14) ),
inference(resolve,[status(thm)],[c_20,c_3]) ).
cnf(c_35,plain,
~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(c14))),
inference(resolve,[status(thm)],[c_5,c_82]) ).
cnf(c_83,plain,
( ~ p2(A,f4(f5(c12,c11),f3(c14)))
| ~ p2(A,f5(f7(c13,c12),f7(c13,c11))) ),
inference(resolve,[status(thm)],[c_10,c_35]) ).
cnf(c_42,plain,
~ p2(f4(f5(c12,c11),f3(c14)),f5(f7(c13,c12),f7(c13,c11))),
inference(resolve,[status(thm)],[c_83,c_1]) ).
cnf(c_84,plain,
( ~ p10(c11,c14)
| p9(c13,f3(c14),c14) ),
inference(resolve,[status(thm)],[c_12,c_23]) ).
cnf(c_49,plain,
p9(c13,f3(c14),c14),
inference(resolve,[status(thm)],[c_84,c_21]) ).
cnf(c_85,plain,
( ~ p9(c13,A,c14)
| p2(c15,A) ),
inference(resolve,[status(thm)],[c_11,c_6]) ).
cnf(c_50,plain,
p2(c15,f3(c14)),
inference(resolve,[status(thm)],[c_85,c_49]) ).
cnf(c_86,plain,
( ~ p2(B,C)
| p2(f4(A,B),f4(A,C)) ),
inference(resolve,[status(thm)],[c_16,c_1]) ).
cnf(c_60,plain,
p2(f4(A,c15),f4(A,f3(c14))),
inference(resolve,[status(thm)],[c_86,c_50]) ).
cnf(c_87,plain,
( ~ p2(A,f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(A,f4(f5(c12,c11),f3(c14))) ),
inference(resolve,[status(thm)],[c_10,c_42]) ).
cnf(c_88,plain,
~ p2(f4(f5(c12,c11),c15),f4(f5(c12,c11),f3(c14))),
inference(resolve,[status(thm)],[c_87,c_24]) ).
cnf(c_80,plain,
$false,
inference(resolve,[status(thm)],[c_60,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN569-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n010.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sat Sep 26 18:14:30 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.45 % Process 3898712 was started by sandbox2 on n010,
% 0.18/0.45 % Sat Sep 26 18:14:30 2026
% 0.18/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.18/0.46
% 0.18/0.46 % From the command line: assign(max_seconds, 300).
% 0.18/0.48
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48
% 0.18/0.48 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.18/0.48 % Length of proof is 20.
% 0.18/0.48 % Level of proof is 5.
% 0.18/0.48 % Maximum clause weight is 20.000.
% 0.18/0.48 % Given clauses 30.
% 0.18/0.48
% 0.18/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------