%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN699-1 : 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 : n002.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 09:39:09 AM UTC 2026
% Result : Unsatisfiable 2.49s 0.74s
% Output : CNFRefutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 15 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p10_7,axiom,
! [VAR_0] : p10(VAR_0,VAR_0),
file('theBenchmark.p',p10_7) ).
cnf(c_7,plain,
p10(A,A),
inference(clausify,[status(thm)],[p10_7]) ).
fof(p2_12,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_12) ).
cnf(c_12,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_12]) ).
fof(p2_18,axiom,
p2(c44,c46),
file('theBenchmark.p',p2_18) ).
cnf(c_18,plain,
p2(c44,c46),
inference(clausify,[status(thm)],[p2_18]) ).
fof(p3_31,axiom,
! [VAR_0,VAR_1] :
( ~ p2(VAR_0,VAR_1)
| p3(f4(VAR_0),f4(VAR_1)) ),
file('theBenchmark.p',p3_31) ).
cnf(c_31,plain,
( ~ p2(A,B)
| p3(f4(A),f4(B)) ),
inference(clausify,[status(thm)],[p3_31]) ).
fof(p2_42,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_42) ).
cnf(c_42,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_42]) ).
fof(p2_55,axiom,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('theBenchmark.p',p2_55) ).
cnf(c_55,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(clausify,[status(thm)],[p2_55]) ).
fof(not_p2_56,axiom,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('theBenchmark.p',not_p2_56) ).
cnf(c_56,plain,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(clausify,[status(thm)],[not_p2_56]) ).
fof(p2_62,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_0,VAR_2)
| ~ p10(VAR_1,VAR_3)
| p2(f11(VAR_0,VAR_1),f11(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_62) ).
cnf(c_62,plain,
( ~ p3(A,C)
| ~ p10(B,D)
| p2(f11(A,B),f11(C,D)) ),
inference(clausify,[status(thm)],[p2_62]) ).
cnf(c_86,plain,
p3(f4(c44),f4(c46)),
inference(resolve,[status(thm)],[c_31,c_18]) ).
cnf(c_102,plain,
( ~ p2(B,A)
| p2(A,B) ),
inference(resolve,[status(thm)],[c_42,c_12]) ).
cnf(c_165,plain,
( ~ p3(A,C)
| p2(f11(A,B),f11(C,B)) ),
inference(resolve,[status(thm)],[c_62,c_7]) ).
cnf(c_247,plain,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(resolve,[status(thm)],[c_102,c_55]) ).
cnf(c_1717,plain,
p2(f11(f4(c44),A),f11(f4(c46),A)),
inference(resolve,[status(thm)],[c_165,c_86]) ).
cnf(c_2832,plain,
( ~ p2(A,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(A,f11(f4(c46),c43)) ),
inference(resolve,[status(thm)],[c_42,c_56]) ).
cnf(c_2833,plain,
~ p2(f11(f4(c44),c43),f11(f4(c46),c43)),
inference(resolve,[status(thm)],[c_2832,c_247]) ).
cnf(c_2831,plain,
$false,
inference(resolve,[status(thm)],[c_1717,c_2833]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN699-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n002.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 18:23:05 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.35 % Process 2373541 was started by sandbox on n002,
% 0.09/0.35 % Sat Sep 26 18:23:05 2026
% 0.09/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.36
% 0.09/0.36 % From the command line: assign(max_seconds, 300).
% 2.49/0.74
% 2.49/0.74 % SZS status Unsatisfiable for theBenchmark
% 2.49/0.74
% 2.49/0.74 % Proof 1 at 0.26 (+ 0.09) seconds.
% 2.49/0.74 % Length of proof is 14.
% 2.49/0.74 % Level of proof is 3.
% 2.49/0.74 % Maximum clause weight is 25.000.
% 2.49/0.74 % Given clauses 443.
% 2.49/0.74
% 2.49/0.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------