%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN556-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 09:38:49 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 86 ( 48 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 60 ( 0 sgn 22 !; 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(p3_2,axiom,
! [VAR_0] : p3(VAR_0,VAR_0),
file('theBenchmark.p',p3_2) ).
cnf(c_2,plain,
p3(A,A),
inference(clausify,[status(thm)],[p3_2]) ).
fof(p2_3,axiom,
p2(c10,c13),
file('theBenchmark.p',p2_3) ).
cnf(c_3,plain,
p2(c10,c13),
inference(clausify,[status(thm)],[p2_3]) ).
fof(p2_6,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_6) ).
cnf(c_6,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_6]) ).
fof(p3_7,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_7) ).
cnf(c_7,plain,
( ~ p3(C,B)
| ~ p3(C,A)
| p3(A,B) ),
inference(clausify,[status(thm)],[p3_7]) ).
fof(p3_8,axiom,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
file('theBenchmark.p',p3_8) ).
cnf(c_8,plain,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
inference(clausify,[status(thm)],[p3_8]) ).
fof(not_p3_9,axiom,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
file('theBenchmark.p',not_p3_9) ).
cnf(c_9,plain,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
inference(clausify,[status(thm)],[not_p3_9]) ).
fof(p2_10,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p2(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p2(f5(VAR_0,VAR_1),f5(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_10) ).
cnf(c_10,plain,
( ~ p2(B,D)
| ~ p2(A,C)
| p2(f5(A,B),f5(C,D)) ),
inference(clausify,[status(thm)],[p2_10]) ).
fof(p2_11,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_0,VAR_2)
| ~ p2(VAR_1,VAR_3)
| p2(f8(VAR_0,VAR_1),f8(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_11) ).
cnf(c_11,plain,
( ~ p3(A,C)
| ~ p2(B,D)
| p2(f8(A,B),f8(C,D)) ),
inference(clausify,[status(thm)],[p2_11]) ).
fof(p3_12,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( ~ p2(VAR_0,VAR_3)
| ~ p3(VAR_2,VAR_5)
| ~ p2(VAR_1,VAR_4)
| p3(f4(VAR_0,VAR_1,VAR_2),f4(VAR_3,VAR_4,VAR_5)) ),
file('theBenchmark.p',p3_12) ).
cnf(c_12,plain,
( ~ p2(A,D)
| ~ p3(C,F)
| ~ p2(B,E)
| p3(f4(A,B,C),f4(D,E,F)) ),
inference(clausify,[status(thm)],[p3_12]) ).
cnf(c_17,plain,
( ~ p2(c10,A)
| p2(c13,A) ),
inference(resolve,[status(thm)],[c_6,c_3]) ).
cnf(c_230,plain,
( ~ p2(c10,A)
| p2(c13,A) ),
inference(resolve,[status(thm)],[c_6,c_3]) ).
cnf(c_20,plain,
p2(c13,c10),
inference(resolve,[status(thm)],[c_230,c_1]) ).
cnf(c_231,plain,
( ~ p3(c9,A)
| p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),A) ),
inference(resolve,[status(thm)],[c_7,c_8]) ).
cnf(c_24,plain,
p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9),
inference(resolve,[status(thm)],[c_231,c_2]) ).
cnf(c_25,plain,
( ~ p3(A,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| ~ p3(A,c9) ),
inference(resolve,[status(thm)],[c_9,c_7]) ).
cnf(c_105,plain,
( ~ p2(A,c10)
| ~ p3(C,c11)
| ~ p2(B,f5(f8(c11,c10),f6(f7(c12))))
| ~ p3(f4(A,B,C),c9) ),
inference(resolve,[status(thm)],[c_25,c_12]) ).
cnf(c_113,plain,
( ~ p2(A,c10)
| ~ p2(B,f5(f8(c11,c10),f6(f7(c12))))
| ~ p3(f4(A,B,c11),c9) ),
inference(resolve,[status(thm)],[c_105,c_2]) ).
cnf(c_232,plain,
( ~ p2(c10,c10)
| ~ p2(A,f5(f8(c11,c10),f6(f7(c12))))
| ~ p3(f4(c13,A,c11),c9) ),
inference(resolve,[status(thm)],[c_113,c_17]) ).
cnf(c_125,plain,
( ~ p2(A,f5(f8(c11,c10),f6(f7(c12))))
| ~ p3(f4(c13,A,c11),c9) ),
inference(resolve,[status(thm)],[c_1,c_232]) ).
cnf(c_233,plain,
( ~ p3(A,B)
| p2(f8(A,c13),f8(B,c10)) ),
inference(resolve,[status(thm)],[c_11,c_20]) ).
cnf(c_154,plain,
p2(f8(A,c13),f8(A,c10)),
inference(resolve,[status(thm)],[c_233,c_2]) ).
cnf(c_227,plain,
( ~ p2(B,f6(f7(c12)))
| ~ p2(A,f8(c11,c10))
| ~ p3(f4(c13,f5(A,B),c11),c9) ),
inference(resolve,[status(thm)],[c_125,c_10]) ).
cnf(c_234,plain,
( ~ p2(f6(f7(c12)),f6(f7(c12)))
| ~ p2(f8(c11,c13),f8(c11,c10)) ),
inference(resolve,[status(thm)],[c_227,c_24]) ).
cnf(c_235,plain,
~ p2(f6(f7(c12)),f6(f7(c12))),
inference(resolve,[status(thm)],[c_154,c_234]) ).
cnf(c_229,plain,
$false,
inference(resolve,[status(thm)],[c_1,c_235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN556-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n013.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 26 18:12:51 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.07/0.35 % Process 3339212 was started by sandbox on n013,
% 0.07/0.35 % Sat Sep 26 18:12:51 2026
% 0.07/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.07/0.35
% 0.07/0.35 % From the command line: assign(max_seconds, 300).
% 0.13/0.39
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39
% 0.13/0.39 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.13/0.39 % Length of proof is 20.
% 0.13/0.39 % Level of proof is 6.
% 0.13/0.39 % Maximum clause weight is 41.000.
% 0.13/0.39 % Given clauses 32.
% 0.13/0.39
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------