%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN573-1 : 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 : 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 09:38:52 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 26 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(c15_is_p12_1,axiom,
p12(c15),
file('theBenchmark.p',c15_is_p12_1) ).
cnf(c_1,plain,
p12(c15),
inference(clausify,[status(thm)],[c15_is_p12_1]) ).
fof(p2_3,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_3) ).
cnf(c_3,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_3]) ).
fof(p2_13,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_13) ).
cnf(c_13,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_13]) ).
fof(p11_14,axiom,
! [VAR_0] :
( ~ p12(VAR_0)
| p2(VAR_0,f9(c17))
| p11(VAR_0,c16) ),
file('theBenchmark.p',p11_14) ).
cnf(c_14,plain,
( ~ p12(A)
| p2(A,f9(c17))
| p11(A,c16) ),
inference(clausify,[status(thm)],[p11_14]) ).
fof(p11_16,axiom,
! [VAR_0,VAR_1] : p11(VAR_0,f3(f8(VAR_1),f3(f8(VAR_0),f5(f6(f7(c14)))))),
file('theBenchmark.p',p11_16) ).
cnf(c_16,plain,
p11(A,f3(f8(B),f3(f8(A),f5(f6(f7(c14)))))),
inference(clausify,[status(thm)],[p11_16]) ).
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]) ).
fof(not_p11_19,axiom,
~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
file('theBenchmark.p',not_p11_19) ).
cnf(c_19,plain,
~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
inference(clausify,[status(thm)],[not_p11_19]) ).
fof(p11_21,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p11(VAR_0,VAR_1)
| p11(VAR_0,f3(f8(VAR_1),f3(f8(VAR_2),f5(f6(f7(c14)))))) ),
file('theBenchmark.p',p11_21) ).
cnf(c_21,plain,
( ~ p11(A,B)
| p11(A,f3(f8(B),f3(f8(C),f5(f6(f7(c14)))))) ),
inference(clausify,[status(thm)],[p11_21]) ).
cnf(c_28,plain,
( p2(c15,f9(c17))
| p11(c15,c16) ),
inference(resolve,[status(thm)],[c_14,c_1]) ).
cnf(c_48,plain,
( ~ p11(A,B)
| ~ p2(B,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14))))))
| ~ p2(A,c15) ),
inference(resolve,[status(thm)],[c_17,c_19]) ).
cnf(c_49,plain,
( ~ p11(A,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14))))))
| ~ p2(A,c15) ),
inference(resolve,[status(thm)],[c_48,c_3]) ).
cnf(c_31,plain,
~ p2(f9(c17),c15),
inference(resolve,[status(thm)],[c_49,c_16]) ).
cnf(c_36,plain,
~ p11(c15,c16),
inference(resolve,[status(thm)],[c_21,c_19]) ).
cnf(c_37,plain,
p2(c15,f9(c17)),
inference(resolve,[status(thm)],[c_36,c_28]) ).
cnf(c_50,plain,
( ~ p2(A,c15)
| ~ p2(A,f9(c17)) ),
inference(resolve,[status(thm)],[c_13,c_31]) ).
cnf(c_51,plain,
~ p2(c15,f9(c17)),
inference(resolve,[status(thm)],[c_50,c_3]) ).
cnf(c_47,plain,
$false,
inference(resolve,[status(thm)],[c_37,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN573-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 18:14:29 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 1241002 was started by sandbox on n011,
% 0.10/0.36 % Sat Sep 26 18:14:29 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.37
% 0.10/0.37 % From the command line: assign(max_seconds, 300).
% 0.10/0.38
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.38
% 0.10/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.10/0.38 % Length of proof is 13.
% 0.10/0.38 % Level of proof is 3.
% 0.10/0.38 % Maximum clause weight is 15.000.
% 0.10/0.38 % Given clauses 27.
% 0.10/0.38
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------