%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN555-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 09:38:49 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p4_2,axiom,
! [VAR_0] : p4(VAR_0,VAR_0),
file('theBenchmark.p',p4_2) ).
cnf(c_2,plain,
p4(A,A),
inference(clausify,[status(thm)],[p4_2]) ).
fof(p4_4,axiom,
p4(f5(c7,c10,c9),c9),
file('theBenchmark.p',p4_4) ).
cnf(c_4,plain,
p4(f5(c7,c10,c9),c9),
inference(clausify,[status(thm)],[p4_4]) ).
fof(not_p4_5,axiom,
~ p4(f5(c7,c10,c8),c8),
file('theBenchmark.p',not_p4_5) ).
cnf(c_5,plain,
~ p4(f5(c7,c10,c8),c8),
inference(clausify,[status(thm)],[not_p4_5]) ).
fof(p4_6,axiom,
! [VAR_0] : p4(f5(c7,VAR_0,c8),f5(c7,VAR_0,c9)),
file('theBenchmark.p',p4_6) ).
cnf(c_6,plain,
p4(f5(c7,A,c8),f5(c7,A,c9)),
inference(clausify,[status(thm)],[p4_6]) ).
fof(p4_8,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p4(VAR_2,VAR_1)
| ~ p4(VAR_2,VAR_0)
| p4(VAR_0,VAR_1) ),
file('theBenchmark.p',p4_8) ).
cnf(c_8,plain,
( ~ p4(C,B)
| ~ p4(C,A)
| p4(A,B) ),
inference(clausify,[status(thm)],[p4_8]) ).
fof(p4_12,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p4(f5(c7,f6(VAR_0,VAR_2,VAR_1),VAR_2),f5(c7,f6(VAR_0,VAR_2,VAR_1),VAR_1))
| ~ p4(f5(c7,VAR_0,VAR_2),VAR_2)
| p4(f5(c7,VAR_0,VAR_1),VAR_1) ),
file('theBenchmark.p',p4_12) ).
cnf(c_12,plain,
( ~ p4(f5(c7,f6(A,C,B),C),f5(c7,f6(A,C,B),B))
| ~ p4(f5(c7,A,C),C)
| p4(f5(c7,A,B),B) ),
inference(clausify,[status(thm)],[p4_12]) ).
cnf(c_30,plain,
( ~ p4(f5(c7,A,c8),B)
| p4(f5(c7,A,c9),B) ),
inference(resolve,[status(thm)],[c_8,c_6]) ).
cnf(c_14,plain,
p4(f5(c7,A,c9),f5(c7,A,c8)),
inference(resolve,[status(thm)],[c_30,c_2]) ).
cnf(c_31,plain,
( ~ p4(f5(c7,f6(c10,A,c8),A),f5(c7,f6(c10,A,c8),c8))
| ~ p4(f5(c7,c10,A),A) ),
inference(resolve,[status(thm)],[c_12,c_5]) ).
cnf(c_28,plain,
~ p4(f5(c7,f6(c10,c9,c8),c9),f5(c7,f6(c10,c9,c8),c8)),
inference(resolve,[status(thm)],[c_31,c_4]) ).
cnf(c_29,plain,
$false,
inference(resolve,[status(thm)],[c_28,c_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN555-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 18:18:30 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.38 % Process 1450489 was started by sandbox2 on n016,
% 0.11/0.38 % Sat Sep 26 18:18:30 2026
% 0.11/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.11/0.38
% 0.11/0.38 % From the command line: assign(max_seconds, 300).
% 0.11/0.39
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.39
% 0.11/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.11/0.39 % Length of proof is 9.
% 0.11/0.39 % Level of proof is 2.
% 0.11/0.39 % Maximum clause weight is 27.000.
% 0.11/0.39 % Given clauses 12.
% 0.11/0.39
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------