%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN577-1 : 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 09:38:52 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.50s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 20 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 54 ( 30 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 7 !; 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(p7_5,axiom,
p7(c9,c10),
file('theBenchmark.p',p7_5) ).
cnf(c_5,plain,
p7(c9,c10),
inference(clausify,[status(thm)],[p7_5]) ).
fof(p2_8,axiom,
p2(f4(c16,c14),c18),
file('theBenchmark.p',p2_8) ).
cnf(c_8,plain,
p2(f4(c16,c14),c18),
inference(clausify,[status(thm)],[p2_8]) ).
fof(p2_9,axiom,
p2(f4(c15,c14),c17),
file('theBenchmark.p',p2_9) ).
cnf(c_9,plain,
p2(f4(c15,c14),c17),
inference(clausify,[status(thm)],[p2_9]) ).
fof(p2_11,axiom,
p2(f5(f6(c9),c19),c17),
file('theBenchmark.p',p2_11) ).
cnf(c_11,plain,
p2(f5(f6(c9),c19),c17),
inference(clausify,[status(thm)],[p2_11]) ).
fof(p2_12,axiom,
p2(f5(f6(c9),c20),c18),
file('theBenchmark.p',p2_12) ).
cnf(c_12,plain,
p2(f5(f6(c9),c20),c18),
inference(clausify,[status(thm)],[p2_12]) ).
fof(p2_14,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_14) ).
cnf(c_14,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_14]) ).
fof(not_p7_20,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p2(f4(VAR_2,c14),f5(f6(VAR_0),c20))
| ~ p2(f4(VAR_1,c14),f5(f6(VAR_0),c19))
| ~ p2(c16,VAR_2)
| ~ p2(c15,VAR_1)
| ~ p7(VAR_0,c10) ),
file('theBenchmark.p',not_p7_20) ).
cnf(c_20,plain,
( ~ p2(f4(C,c14),f5(f6(A),c20))
| ~ p2(f4(B,c14),f5(f6(A),c19))
| ~ p2(c16,C)
| ~ p2(c15,B)
| ~ p7(A,c10) ),
inference(clausify,[status(thm)],[not_p7_20]) ).
cnf(c_791,plain,
( ~ p2(f5(f6(c9),c20),A)
| p2(c18,A) ),
inference(resolve,[status(thm)],[c_14,c_12]) ).
cnf(c_29,plain,
p2(c18,f5(f6(c9),c20)),
inference(resolve,[status(thm)],[c_791,c_1]) ).
cnf(c_792,plain,
( ~ p2(f5(f6(c9),c19),A)
| p2(c17,A) ),
inference(resolve,[status(thm)],[c_14,c_11]) ).
cnf(c_30,plain,
p2(c17,f5(f6(c9),c19)),
inference(resolve,[status(thm)],[c_792,c_1]) ).
cnf(c_793,plain,
( ~ p2(f4(c15,c14),A)
| p2(c17,A) ),
inference(resolve,[status(thm)],[c_14,c_9]) ).
cnf(c_32,plain,
p2(c17,f4(c15,c14)),
inference(resolve,[status(thm)],[c_793,c_1]) ).
cnf(c_794,plain,
( ~ p2(f4(c16,c14),A)
| p2(c18,A) ),
inference(resolve,[status(thm)],[c_14,c_8]) ).
cnf(c_33,plain,
p2(c18,f4(c16,c14)),
inference(resolve,[status(thm)],[c_794,c_1]) ).
cnf(c_180,plain,
( ~ p2(f4(B,c14),f5(f6(c9),c20))
| ~ p2(f4(A,c14),f5(f6(c9),c19))
| ~ p2(c16,B)
| ~ p2(c15,A) ),
inference(resolve,[status(thm)],[c_20,c_5]) ).
cnf(c_298,plain,
( ~ p2(f4(A,c14),f5(f6(c9),c20))
| ~ p2(f4(c15,c14),f5(f6(c9),c19))
| ~ p2(c16,A) ),
inference(resolve,[status(thm)],[c_180,c_1]) ).
cnf(c_312,plain,
( ~ p2(f4(c16,c14),f5(f6(c9),c20))
| ~ p2(f4(c15,c14),f5(f6(c9),c19)) ),
inference(resolve,[status(thm)],[c_298,c_1]) ).
cnf(c_795,plain,
( ~ p2(c18,A)
| p2(f4(c16,c14),A) ),
inference(resolve,[status(thm)],[c_14,c_33]) ).
cnf(c_689,plain,
p2(f4(c16,c14),f5(f6(c9),c20)),
inference(resolve,[status(thm)],[c_795,c_29]) ).
cnf(c_701,plain,
~ p2(f4(c15,c14),f5(f6(c9),c19)),
inference(resolve,[status(thm)],[c_689,c_312]) ).
cnf(c_796,plain,
( ~ p2(c17,A)
| p2(f4(c15,c14),A) ),
inference(resolve,[status(thm)],[c_14,c_32]) ).
cnf(c_797,plain,
p2(f4(c15,c14),f5(f6(c9),c19)),
inference(resolve,[status(thm)],[c_796,c_30]) ).
cnf(c_790,plain,
$false,
inference(resolve,[status(thm)],[c_701,c_797]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN577-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n003.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 18:16:09 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.43 % Process 3488682 was started by sandbox on n003,
% 0.17/0.43 % Sat Sep 26 18:16:09 2026
% 0.17/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/0.44
% 0.17/0.44 % From the command line: assign(max_seconds, 300).
% 0.17/0.50
% 0.17/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.50
% 0.17/0.50 % Proof 1 at 0.03 (+ 0.02) seconds.
% 0.17/0.50 % Length of proof is 18.
% 0.17/0.50 % Level of proof is 5.
% 0.17/0.50 % Maximum clause weight is 40.000.
% 0.17/0.50 % Given clauses 34.
% 0.17/0.50
% 0.17/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------