%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN554-1 : 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 09:38:49 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 14 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 26 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 10 !; 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(not_p4_2,axiom,
! [VAR_0] : ~ p4(VAR_0,VAR_0),
file('theBenchmark.p',not_p4_2) ).
cnf(c_2,plain,
~ p4(A,A),
inference(clausify,[status(thm)],[not_p4_2]) ).
fof(not_p2_3,axiom,
~ p2(c6,c7),
file('theBenchmark.p',not_p2_3) ).
cnf(c_3,plain,
~ p2(c6,c7),
inference(clausify,[status(thm)],[not_p2_3]) ).
fof(p2_4,axiom,
p2(f3(c5,c6),f3(c5,c7)),
file('theBenchmark.p',p2_4) ).
cnf(c_4,plain,
p2(f3(c5,c6),f3(c5,c7)),
inference(clausify,[status(thm)],[p2_4]) ).
fof(p2_5,axiom,
! [VAR_0,VAR_1] :
( p4(VAR_1,VAR_0)
| p4(VAR_0,VAR_1)
| p2(VAR_0,VAR_1) ),
file('theBenchmark.p',p2_5) ).
cnf(c_5,plain,
( p4(B,A)
| p4(A,B)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_5]) ).
fof(p4_7,axiom,
! [VAR_0,VAR_1] :
( ~ p4(VAR_0,VAR_1)
| p4(f3(c5,VAR_0),f3(c5,VAR_1)) ),
file('theBenchmark.p',p4_7) ).
cnf(c_7,plain,
( ~ p4(A,B)
| p4(f3(c5,A),f3(c5,B)) ),
inference(clausify,[status(thm)],[p4_7]) ).
fof(p4_8,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p2(VAR_3,VAR_0)
| ~ p4(VAR_3,VAR_2)
| ~ p2(VAR_2,VAR_1)
| p4(VAR_0,VAR_1) ),
file('theBenchmark.p',p4_8) ).
cnf(c_8,plain,
( ~ p2(D,A)
| ~ p4(D,C)
| ~ p2(C,B)
| p4(A,B) ),
inference(clausify,[status(thm)],[p4_8]) ).
cnf(c_30,plain,
( ~ p2(C,B)
| ~ p4(C,A)
| ~ p2(A,B) ),
inference(resolve,[status(thm)],[c_8,c_2]) ).
cnf(c_31,plain,
( ~ p2(A,f3(c5,c7))
| ~ p4(A,f3(c5,c6)) ),
inference(resolve,[status(thm)],[c_30,c_4]) ).
cnf(c_19,plain,
~ p4(f3(c5,c7),f3(c5,c6)),
inference(resolve,[status(thm)],[c_31,c_1]) ).
cnf(c_32,plain,
( ~ p2(C,B)
| ~ p4(C,A)
| ~ p2(A,B) ),
inference(resolve,[status(thm)],[c_8,c_2]) ).
cnf(c_33,plain,
( ~ p2(A,B)
| ~ p4(A,B) ),
inference(resolve,[status(thm)],[c_32,c_1]) ).
cnf(c_20,plain,
~ p4(f3(c5,c6),f3(c5,c7)),
inference(resolve,[status(thm)],[c_33,c_4]) ).
cnf(c_27,plain,
~ p4(c7,c6),
inference(resolve,[status(thm)],[c_7,c_19]) ).
cnf(c_34,plain,
( p4(c6,c7)
| p2(c6,c7) ),
inference(resolve,[status(thm)],[c_27,c_5]) ).
cnf(c_28,plain,
p4(c6,c7),
inference(resolve,[status(thm)],[c_3,c_34]) ).
cnf(c_35,plain,
~ p4(c6,c7),
inference(resolve,[status(thm)],[c_7,c_20]) ).
cnf(c_29,plain,
$false,
inference(resolve,[status(thm)],[c_28,c_35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN554-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 18:13:29 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 1237982 was started by sandbox on n011,
% 0.10/0.38 % Sat Sep 26 18:13:29 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.38
% 0.10/0.38 % From the command line: assign(max_seconds, 300).
% 0.10/0.39
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.39
% 0.10/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.10/0.39 % Length of proof is 12.
% 0.10/0.39 % Level of proof is 4.
% 0.10/0.39 % Maximum clause weight is 12.000.
% 0.10/0.39 % Given clauses 15.
% 0.10/0.39
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------