%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN649-1 : 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 : n014.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 0.19s 5.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 22 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p23_26,axiom,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
file('theBenchmark.p',p23_26) ).
cnf(c_26,plain,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
inference(clausify,[status(thm)],[p23_26]) ).
fof(not_p23_38,axiom,
! [VAR_0] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),VAR_0),c29)
| ~ p23(f5(c24,c25),VAR_0) ),
file('theBenchmark.p',not_p23_38) ).
cnf(c_38,plain,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),A),c29)
| ~ p23(f5(c24,c25),A) ),
inference(clausify,[status(thm)],[not_p23_38]) ).
fof(p23_39,axiom,
! [VAR_0,VAR_1] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),VAR_0),VAR_1)
| p23(f5(c24,VAR_0),f14(f22(c33,VAR_1),VAR_0)) ),
file('theBenchmark.p',p23_39) ).
cnf(c_39,plain,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),A),B)
| p23(f5(c24,A),f14(f22(c33,B),A)) ),
inference(clausify,[status(thm)],[p23_39]) ).
fof(p23_40,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p23(f5(f7(f10(c26,f12(c27,VAR_1)),VAR_0),VAR_2),VAR_3)
| p23(f5(VAR_0,f14(f16(f18(f20(c30,VAR_1),VAR_2),VAR_0),VAR_3)),VAR_3) ),
file('theBenchmark.p',p23_40) ).
cnf(c_40,plain,
( ~ p23(f5(f7(f10(c26,f12(c27,B)),A),C),D)
| p23(f5(A,f14(f16(f18(f20(c30,B),C),A),D)),D) ),
inference(clausify,[status(thm)],[p23_40]) ).
fof(p23_41,axiom,
! [VAR_0,VAR_1] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),VAR_1),VAR_0)
| p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,VAR_0),VAR_1)),VAR_0) ),
file('theBenchmark.p',p23_41) ).
cnf(c_41,plain,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),B),A)
| p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,A),B)),A) ),
inference(clausify,[status(thm)],[p23_41]) ).
fof(p23_42,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ p23(f5(f7(f10(c26,VAR_0),VAR_1),VAR_2),VAR_4)
| ~ p23(f5(VAR_1,VAR_4),VAR_3)
| p23(f5(f7(f10(c26,f12(c27,VAR_0)),VAR_1),VAR_2),VAR_3) ),
file('theBenchmark.p',p23_42) ).
cnf(c_42,plain,
( ~ p23(f5(f7(f10(c26,A),B),C),E)
| ~ p23(f5(B,E),D)
| p23(f5(f7(f10(c26,f12(c27,A)),B),C),D) ),
inference(clausify,[status(thm)],[p23_42]) ).
fof(p23_44,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p23(f5(f7(f10(c26,f12(c27,VAR_0)),VAR_1),VAR_2),VAR_3)
| p23(f5(f7(f10(c26,VAR_0),VAR_1),VAR_2),f14(f16(f18(f20(c30,VAR_0),VAR_2),VAR_1),VAR_3)) ),
file('theBenchmark.p',p23_44) ).
cnf(c_44,plain,
( ~ p23(f5(f7(f10(c26,f12(c27,A)),B),C),D)
| p23(f5(f7(f10(c26,A),B),C),f14(f16(f18(f20(c30,A),C),B),D)) ),
inference(clausify,[status(thm)],[p23_44]) ).
cnf(c_52,plain,
p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c29),
inference(resolve,[status(thm)],[c_40,c_26]) ).
cnf(c_53,plain,
( ~ p23(f5(c24,c25),B)
| ~ p23(f5(f7(f10(c26,c28),c24),B),A)
| ~ p23(f5(c24,A),c29) ),
inference(resolve,[status(thm)],[c_42,c_38]) ).
cnf(c_57,plain,
p23(f5(f7(f10(c26,f12(c27,c28)),c24),c25),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
inference(resolve,[status(thm)],[c_44,c_26]) ).
cnf(c_101,plain,
p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
inference(resolve,[status(thm)],[c_41,c_57]) ).
cnf(c_103,plain,
p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),
inference(resolve,[status(thm)],[c_39,c_57]) ).
cnf(c_114,plain,
( ~ p23(f5(c24,c25),A)
| ~ p23(f5(f7(f10(c26,c28),c24),A),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)) ),
inference(resolve,[status(thm)],[c_53,c_52]) ).
cnf(c_115,plain,
~ p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
inference(resolve,[status(thm)],[c_114,c_103]) ).
cnf(c_113,plain,
$false,
inference(resolve,[status(thm)],[c_101,c_115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN649-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.47 % Computer : n014.cluster.edu
% 0.19/5.47 % Model : x86_64 x86_64
% 0.19/5.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.47 % Memory : 8046.5625MB
% 0.19/5.47 % OS : Linux 6.8.0-71-generic
% 0.19/5.47 % CPULimit : 300
% 0.19/5.47 % WCLimit : 300
% 0.19/5.47 % DateTime : Sat Sep 26 18:18:08 UTC 2026
% 0.19/5.47 % CPUTime :
% 0.19/5.47 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/5.47 % Process 3820594 was started by sandbox2 on n014,
% 0.19/5.47 % Sat Sep 26 18:18:08 2026
% 0.19/5.47 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.19/5.48
% 0.19/5.48 % From the command line: assign(max_seconds, 300).
% 0.19/5.49
% 0.19/5.49 % SZS status Unsatisfiable for theBenchmark
% 0.19/5.49
% 0.19/5.49 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.19/5.49 % Length of proof is 13.
% 0.19/5.49 % Level of proof is 3.
% 0.19/5.49 % Maximum clause weight is 78.000.
% 0.19/5.49 % Given clauses 53.
% 0.19/5.49
% 0.19/5.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------