%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN652-1 : 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 : n009.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 0.16s 10.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 18 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 18 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p4_5,axiom,
! [VAR_0] : p4(VAR_0,VAR_0),
file('theBenchmark.p',p4_5) ).
cnf(c_5,plain,
p4(A,A),
inference(clausify,[status(thm)],[p4_5]) ).
fof(p14_14,axiom,
! [VAR_0] : p14(VAR_0,VAR_0),
file('theBenchmark.p',p14_14) ).
cnf(c_14,plain,
p14(A,A),
inference(clausify,[status(thm)],[p14_14]) ).
fof(p4_16,axiom,
p4(c34,f5(c35,c32)),
file('theBenchmark.p',p4_16) ).
cnf(c_16,plain,
p4(c34,f5(c35,c32)),
inference(clausify,[status(thm)],[p4_16]) ).
fof(p27_17,axiom,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
file('theBenchmark.p',p27_17) ).
cnf(c_17,plain,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
inference(clausify,[status(thm)],[p27_17]) ).
fof(not_p4_18,axiom,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
file('theBenchmark.p',not_p4_18) ).
cnf(c_18,plain,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
inference(clausify,[status(thm)],[not_p4_18]) ).
fof(p4_23,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_23) ).
cnf(c_23,plain,
( ~ p4(C,B)
| ~ p4(C,A)
| p4(A,B) ),
inference(clausify,[status(thm)],[p4_23]) ).
fof(p4_34,axiom,
! [VAR_0,VAR_1] : p4(f15(f17(c36,VAR_0),f5(c35,VAR_1)),f5(VAR_0,VAR_1)),
file('theBenchmark.p',p4_34) ).
cnf(c_34,plain,
p4(f15(f17(c36,A),f5(c35,B)),f5(A,B)),
inference(clausify,[status(thm)],[p4_34]) ).
fof(p4_41,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p4(VAR_1,VAR_3)
| ~ p14(VAR_0,VAR_2)
| p4(f15(VAR_0,VAR_1),f15(VAR_2,VAR_3)) ),
file('theBenchmark.p',p4_41) ).
cnf(c_41,plain,
( ~ p4(B,D)
| ~ p14(A,C)
| p4(f15(A,B),f15(C,D)) ),
inference(clausify,[status(thm)],[p4_41]) ).
fof(p4_46,axiom,
! [VAR_0,VAR_1] :
( ~ p27(f8(f10(c28,f13(c29,c30)),VAR_0),VAR_1)
| p4(f5(c31,VAR_0),f5(c31,VAR_1)) ),
file('theBenchmark.p',p4_46) ).
cnf(c_46,plain,
( ~ p27(f8(f10(c28,f13(c29,c30)),A),B)
| p4(f5(c31,A),f5(c31,B)) ),
inference(clausify,[status(thm)],[p4_46]) ).
cnf(c_48,plain,
( ~ p4(A,f15(f17(c36,c31),c34))
| ~ p4(A,f5(c31,c33)) ),
inference(resolve,[status(thm)],[c_23,c_18]) ).
cnf(c_92,plain,
( ~ p4(c34,A)
| p4(f5(c35,c32),A) ),
inference(resolve,[status(thm)],[c_23,c_16]) ).
cnf(c_49,plain,
p4(f5(c35,c32),c34),
inference(resolve,[status(thm)],[c_92,c_5]) ).
cnf(c_55,plain,
p4(f5(c31,c32),f5(c31,c33)),
inference(resolve,[status(thm)],[c_46,c_17]) ).
cnf(c_93,plain,
( ~ p4(B,C)
| p4(f15(A,B),f15(A,C)) ),
inference(resolve,[status(thm)],[c_41,c_14]) ).
cnf(c_63,plain,
p4(f15(A,f5(c35,c32)),f15(A,c34)),
inference(resolve,[status(thm)],[c_93,c_49]) ).
cnf(c_84,plain,
~ p4(f5(c31,c32),f15(f17(c36,c31),c34)),
inference(resolve,[status(thm)],[c_55,c_48]) ).
cnf(c_94,plain,
( ~ p4(f15(f17(c36,A),f5(c35,B)),C)
| p4(f5(A,B),C) ),
inference(resolve,[status(thm)],[c_23,c_34]) ).
cnf(c_90,plain,
p4(f5(A,c32),f15(f17(c36,A),c34)),
inference(resolve,[status(thm)],[c_94,c_63]) ).
cnf(c_91,plain,
$false,
inference(resolve,[status(thm)],[c_90,c_84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN652-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/10.46 % Computer : n009.cluster.edu
% 0.16/10.46 % Model : x86_64 x86_64
% 0.16/10.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.46 % Memory : 8046.5625MB
% 0.16/10.46 % OS : Linux 6.8.0-71-generic
% 0.16/10.46 % CPULimit : 300
% 0.16/10.46 % WCLimit : 300
% 0.16/10.46 % DateTime : Sat Sep 26 18:18:41 UTC 2026
% 0.16/10.46 % CPUTime :
% 0.16/10.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/10.46 % Process 832396 was started by sandbox2 on n009,
% 0.16/10.46 % Sat Sep 26 18:18:41 2026
% 0.16/10.46 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/10.47
% 0.16/10.47 % From the command line: assign(max_seconds, 300).
% 0.16/10.48
% 0.16/10.48 % SZS status Unsatisfiable for theBenchmark
% 0.16/10.48
% 0.16/10.48 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.16/10.48 % Length of proof is 16.
% 0.16/10.48 % Level of proof is 4.
% 0.16/10.48 % Maximum clause weight is 36.000.
% 0.16/10.48 % Given clauses 58.
% 0.16/10.48
% 0.16/10.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------