%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN651-1 : 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 : n019.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 09:39:02 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 22 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p23_13,axiom,
p23(f5(c27,c28),c30),
file('theBenchmark.p',p23_13) ).
cnf(c_13,plain,
p23(f5(c27,c28),c30),
inference(clausify,[status(thm)],[p23_13]) ).
fof(p23_26,axiom,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
file('theBenchmark.p',p23_26) ).
cnf(c_26,plain,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
inference(clausify,[status(thm)],[p23_26]) ).
fof(not_p23_28,axiom,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
file('theBenchmark.p',not_p23_28) ).
cnf(c_28,plain,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
inference(clausify,[status(thm)],[not_p23_28]) ).
fof(p23_41,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p23(f5(f7(f10(c24,f12(c25,VAR_1)),VAR_0),VAR_2),VAR_3)
| p23(f5(VAR_0,f14(f16(f18(f20(c31,VAR_1),VAR_2),VAR_0),VAR_3)),VAR_3) ),
file('theBenchmark.p',p23_41) ).
cnf(c_41,plain,
( ~ p23(f5(f7(f10(c24,f12(c25,B)),A),C),D)
| p23(f5(A,f14(f16(f18(f20(c31,B),C),A),D)),D) ),
inference(clausify,[status(thm)],[p23_41]) ).
fof(p23_43,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ p23(f5(f7(f10(c24,VAR_0),VAR_1),VAR_2),VAR_4)
| ~ p23(f5(VAR_1,VAR_4),VAR_3)
| p23(f5(f7(f10(c24,f12(c25,VAR_0)),VAR_1),VAR_2),VAR_3) ),
file('theBenchmark.p',p23_43) ).
cnf(c_43,plain,
( ~ p23(f5(f7(f10(c24,A),B),C),E)
| ~ p23(f5(B,E),D)
| p23(f5(f7(f10(c24,f12(c25,A)),B),C),D) ),
inference(clausify,[status(thm)],[p23_43]) ).
fof(p23_44,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p23(f5(f7(f10(c24,c26),c27),VAR_2),VAR_1)
| ~ p23(f5(c27,VAR_0),VAR_2)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),VAR_0),VAR_1) ),
file('theBenchmark.p',p23_44) ).
cnf(c_44,plain,
( ~ p23(f5(f7(f10(c24,c26),c27),C),B)
| ~ p23(f5(c27,A),C)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),A),B) ),
inference(clausify,[status(thm)],[p23_44]) ).
fof(p23_45,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p23(f5(f7(f10(c24,f12(c25,VAR_0)),VAR_1),VAR_2),VAR_3)
| p23(f5(f7(f10(c24,VAR_0),VAR_1),VAR_2),f14(f16(f18(f20(c31,VAR_0),VAR_2),VAR_1),VAR_3)) ),
file('theBenchmark.p',p23_45) ).
cnf(c_45,plain,
( ~ p23(f5(f7(f10(c24,f12(c25,A)),B),C),D)
| p23(f5(f7(f10(c24,A),B),C),f14(f16(f18(f20(c31,A),C),B),D)) ),
inference(clausify,[status(thm)],[p23_45]) ).
cnf(c_48,plain,
p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29),
inference(resolve,[status(thm)],[c_41,c_26]) ).
cnf(c_50,plain,
( ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),A)
| ~ p23(f5(c27,A),c29) ),
inference(resolve,[status(thm)],[c_43,c_28]) ).
cnf(c_51,plain,
p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
inference(resolve,[status(thm)],[c_45,c_26]) ).
cnf(c_55,plain,
( ~ p23(f5(f7(f10(c24,c26),c27),B),A)
| ~ p23(f5(c27,c28),B)
| ~ p23(f5(c27,A),c29) ),
inference(resolve,[status(thm)],[c_50,c_44]) ).
cnf(c_60,plain,
( ~ p23(f5(f7(f10(c24,c26),c27),A),f14(f16(f18(f20(c31,c26),c30),c27),c29))
| ~ p23(f5(c27,c28),A) ),
inference(resolve,[status(thm)],[c_55,c_48]) ).
cnf(c_58,plain,
~ p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
inference(resolve,[status(thm)],[c_60,c_13]) ).
cnf(c_59,plain,
$false,
inference(resolve,[status(thm)],[c_58,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN651-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 18:18:48 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 1906251 was started by sandbox on n019,
% 0.08/0.36 % Sat Sep 26 18:18:48 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.36
% 0.08/0.36 % From the command line: assign(max_seconds, 300).
% 0.13/0.38
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38
% 0.13/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.13/0.38 % Length of proof is 13.
% 0.13/0.38 % Level of proof is 4.
% 0.13/0.38 % Maximum clause weight is 38.000.
% 0.13/0.38 % Given clauses 50.
% 0.13/0.38
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------