%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN571-1 : 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 : n003.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 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 13 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 22 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 5 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2_2,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_2) ).
cnf(c_2,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_2]) ).
fof(p11_3,axiom,
! [VAR_0] : p11(f5(VAR_0),c14),
file('theBenchmark.p',p11_3) ).
cnf(c_3,plain,
p11(f5(A),c14),
inference(clausify,[status(thm)],[p11_3]) ).
fof(not_p11_6,axiom,
! [VAR_0] : ~ p11(VAR_0,f3(VAR_0,f5(f6(f7(c12))))),
file('theBenchmark.p',not_p11_6) ).
cnf(c_6,plain,
~ p11(A,f3(A,f5(f6(f7(c12))))),
inference(clausify,[status(thm)],[not_p11_6]) ).
fof(p11_7,axiom,
! [VAR_0] :
( ~ p11(f5(f10(VAR_0)),VAR_0)
| p11(c14,VAR_0) ),
file('theBenchmark.p',p11_7) ).
cnf(c_7,plain,
( ~ p11(f5(f10(A)),A)
| p11(c14,A) ),
inference(clausify,[status(thm)],[p11_7]) ).
fof(p2_12,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_12) ).
cnf(c_12,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_12]) ).
fof(p2_14,axiom,
! [VAR_0,VAR_1] : p2(f9(f5(VAR_0),f5(VAR_1)),f5(f8(VAR_0,VAR_1))),
file('theBenchmark.p',p2_14) ).
cnf(c_14,plain,
p2(f9(f5(A),f5(B)),f5(f8(A,B))),
inference(clausify,[status(thm)],[p2_14]) ).
fof(p11_15,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p11(f9(VAR_0,VAR_2),VAR_1)
| p11(VAR_0,f3(VAR_1,VAR_2)) ),
file('theBenchmark.p',p11_15) ).
cnf(c_15,plain,
( ~ p11(f9(A,C),B)
| p11(A,f3(B,C)) ),
inference(clausify,[status(thm)],[p11_15]) ).
fof(p11_17,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p11(VAR_2,VAR_3)
| ~ p2(VAR_3,VAR_1)
| ~ p2(VAR_2,VAR_0)
| p11(VAR_0,VAR_1) ),
file('theBenchmark.p',p11_17) ).
cnf(c_17,plain,
( ~ p11(C,D)
| ~ p2(D,B)
| ~ p2(C,A)
| p11(A,B) ),
inference(clausify,[status(thm)],[p11_17]) ).
cnf(c_28,plain,
~ p11(f5(f10(f3(c14,f5(f6(f7(c12)))))),f3(c14,f5(f6(f7(c12))))),
inference(resolve,[status(thm)],[c_7,c_6]) ).
cnf(c_203,plain,
( ~ p2(f9(f5(A),f5(B)),C)
| p2(f5(f8(A,B)),C) ),
inference(resolve,[status(thm)],[c_12,c_14]) ).
cnf(c_34,plain,
p2(f5(f8(A,B)),f9(f5(A),f5(B))),
inference(resolve,[status(thm)],[c_203,c_2]) ).
cnf(c_40,plain,
( ~ p2(c14,B)
| ~ p2(f5(C),A)
| p11(A,B) ),
inference(resolve,[status(thm)],[c_17,c_3]) ).
cnf(c_150,plain,
( ~ p2(f5(B),A)
| p11(A,c14) ),
inference(resolve,[status(thm)],[c_40,c_2]) ).
cnf(c_159,plain,
~ p11(f9(f5(f10(f3(c14,f5(f6(f7(c12)))))),f5(f6(f7(c12)))),c14),
inference(resolve,[status(thm)],[c_15,c_28]) ).
cnf(c_201,plain,
p11(f9(f5(A),f5(B)),c14),
inference(resolve,[status(thm)],[c_34,c_150]) ).
cnf(c_202,plain,
$false,
inference(resolve,[status(thm)],[c_201,c_159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN571-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n003.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 18:15:54 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.35 % Process 3488298 was started by sandbox on n003,
% 0.10/0.35 % Sat Sep 26 18:15:54 2026
% 0.10/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.36
% 0.10/0.36 % From the command line: assign(max_seconds, 300).
% 0.13/0.38
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38
% 0.13/0.38 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.13/0.38 % Length of proof is 15.
% 0.13/0.38 % Level of proof is 4.
% 0.13/0.38 % Maximum clause weight is 55.000.
% 0.13/0.38 % Given clauses 88.
% 0.13/0.38
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------