%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN570-1 : 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 09:38:51 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.38s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 17 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 29 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 35 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p7_2,axiom,
! [VAR_0] : p7(VAR_0,VAR_0),
file('theBenchmark.p',p7_2) ).
cnf(c_2,plain,
p7(A,A),
inference(clausify,[status(thm)],[p7_2]) ).
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(p9_7,axiom,
p9(c15,f8(c13)),
file('theBenchmark.p',p9_7) ).
cnf(c_7,plain,
p9(c15,f8(c13)),
inference(clausify,[status(thm)],[p9_7]) ).
fof(p2_8,axiom,
p2(c12,f5(c15)),
file('theBenchmark.p',p2_8) ).
cnf(c_8,plain,
p2(c12,f5(c15)),
inference(clausify,[status(thm)],[p2_8]) ).
fof(p3_9,axiom,
! [VAR_0] : p3(f4(f5(VAR_0)),VAR_0),
file('theBenchmark.p',p3_9) ).
cnf(c_9,plain,
p3(f4(f5(A)),A),
inference(clausify,[status(thm)],[p3_9]) ).
fof(not_p9_10,axiom,
~ p9(f4(c12),f8(c13)),
file('theBenchmark.p',not_p9_10) ).
cnf(c_10,plain,
~ p9(f4(c12),f8(c13)),
inference(clausify,[status(thm)],[not_p9_10]) ).
fof(p3_13,axiom,
! [VAR_0,VAR_1] :
( ~ p2(VAR_0,VAR_1)
| p3(f4(VAR_0),f4(VAR_1)) ),
file('theBenchmark.p',p3_13) ).
cnf(c_13,plain,
( ~ p2(A,B)
| p3(f4(A),f4(B)) ),
inference(clausify,[status(thm)],[p3_13]) ).
fof(p3_17,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_17) ).
cnf(c_17,plain,
( ~ p3(C,B)
| ~ p3(C,A)
| p3(A,B) ),
inference(clausify,[status(thm)],[p3_17]) ).
fof(p2_18,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_18) ).
cnf(c_18,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_18]) ).
fof(p9_19,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_3,VAR_0)
| ~ p9(VAR_3,VAR_2)
| ~ p7(VAR_2,VAR_1)
| p9(VAR_0,VAR_1) ),
file('theBenchmark.p',p9_19) ).
cnf(c_19,plain,
( ~ p3(D,A)
| ~ p9(D,C)
| ~ p7(C,B)
| p9(A,B) ),
inference(clausify,[status(thm)],[p9_19]) ).
cnf(c_41,plain,
( ~ p2(c12,A)
| p2(f5(c15),A) ),
inference(resolve,[status(thm)],[c_18,c_8]) ).
cnf(c_24,plain,
p2(f5(c15),c12),
inference(resolve,[status(thm)],[c_41,c_5]) ).
cnf(c_42,plain,
( ~ p3(B,f4(c12))
| ~ p9(B,A)
| ~ p7(A,f8(c13)) ),
inference(resolve,[status(thm)],[c_19,c_10]) ).
cnf(c_43,plain,
( ~ p3(A,f4(c12))
| ~ p9(A,f8(c13)) ),
inference(resolve,[status(thm)],[c_42,c_2]) ).
cnf(c_27,plain,
~ p3(c15,f4(c12)),
inference(resolve,[status(thm)],[c_43,c_7]) ).
cnf(c_44,plain,
( ~ p3(A,f4(c12))
| ~ p3(A,c15) ),
inference(resolve,[status(thm)],[c_17,c_27]) ).
cnf(c_33,plain,
~ p3(f4(f5(c15)),f4(c12)),
inference(resolve,[status(thm)],[c_44,c_9]) ).
cnf(c_39,plain,
~ p2(f5(c15),c12),
inference(resolve,[status(thm)],[c_33,c_13]) ).
cnf(c_40,plain,
$false,
inference(resolve,[status(thm)],[c_39,c_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN570-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 18:13:36 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.37 % Process 3340749 was started by sandbox on n013,
% 0.11/0.37 % Sat Sep 26 18:13:36 2026
% 0.11/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/0.37
% 0.11/0.37 % From the command line: assign(max_seconds, 300).
% 0.11/0.38
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.38
% 0.11/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.11/0.38 % Length of proof is 15.
% 0.11/0.38 % Level of proof is 4.
% 0.11/0.38 % Maximum clause weight is 12.000.
% 0.11/0.38 % Given clauses 25.
% 0.11/0.38
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------