%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN689-1 : 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 : n007.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 09:39:07 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.46s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 16 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 59 ( 32 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 29 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(c43_is_p27_2,axiom,
p27(c43),
file('theBenchmark.p',c43_is_p27_2) ).
cnf(c_2,plain,
p27(c43),
inference(clausify,[status(thm)],[c43_is_p27_2]) ).
fof(c35_is_p27_3,axiom,
p27(c35),
file('theBenchmark.p',c35_is_p27_3) ).
cnf(c_3,plain,
p27(c35),
inference(clausify,[status(thm)],[c35_is_p27_3]) ).
fof(p18_10,axiom,
! [VAR_0] : p18(VAR_0,VAR_0),
file('theBenchmark.p',p18_10) ).
cnf(c_10,plain,
p18(A,A),
inference(clausify,[status(thm)],[p18_10]) ).
fof(not_p26_15,axiom,
~ p26(f17(c43),c35),
file('theBenchmark.p',not_p26_15) ).
cnf(c_15,plain,
~ p26(f17(c43),c35),
inference(clausify,[status(thm)],[not_p26_15]) ).
fof(p27_17,axiom,
! [VAR_0] :
( ~ p27(VAR_0)
| p27(f17(VAR_0)) ),
file('theBenchmark.p',p27_17) ).
cnf(c_17,plain,
( ~ p27(A)
| p27(f17(A)) ),
inference(clausify,[status(thm)],[p27_17]) ).
fof(p28_18,axiom,
p28(f20(f19(c43)),f19(c35)),
file('theBenchmark.p',p28_18) ).
cnf(c_18,plain,
p28(f20(f19(c43)),f19(c35)),
inference(clausify,[status(thm)],[p28_18]) ).
fof(p18_31,axiom,
! [VAR_0] :
( ~ p27(VAR_0)
| p18(f19(f17(VAR_0)),f20(f19(VAR_0))) ),
file('theBenchmark.p',p18_31) ).
cnf(c_31,plain,
( ~ p27(A)
| p18(f19(f17(A)),f20(f19(A))) ),
inference(clausify,[status(thm)],[p18_31]) ).
fof(p18_37,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p18(VAR_2,VAR_1)
| ~ p18(VAR_2,VAR_0)
| p18(VAR_0,VAR_1) ),
file('theBenchmark.p',p18_37) ).
cnf(c_37,plain,
( ~ p18(C,B)
| ~ p18(C,A)
| p18(A,B) ),
inference(clausify,[status(thm)],[p18_37]) ).
fof(p26_41,axiom,
! [VAR_0,VAR_1] :
( ~ p28(f19(VAR_0),f19(VAR_1))
| ~ p27(VAR_1)
| ~ p27(VAR_0)
| p26(VAR_0,VAR_1) ),
file('theBenchmark.p',p26_41) ).
cnf(c_41,plain,
( ~ p28(f19(A),f19(B))
| ~ p27(B)
| ~ p27(A)
| p26(A,B) ),
inference(clausify,[status(thm)],[p26_41]) ).
fof(p28_44,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p18(VAR_3,VAR_0)
| ~ p28(VAR_3,VAR_2)
| ~ p18(VAR_2,VAR_1)
| p28(VAR_0,VAR_1) ),
file('theBenchmark.p',p28_44) ).
cnf(c_44,plain,
( ~ p18(D,A)
| ~ p28(D,C)
| ~ p18(C,B)
| p28(A,B) ),
inference(clausify,[status(thm)],[p28_44]) ).
cnf(c_64,plain,
p27(f17(c43)),
inference(resolve,[status(thm)],[c_17,c_2]) ).
cnf(c_68,plain,
p18(f19(f17(c43)),f20(f19(c43))),
inference(resolve,[status(thm)],[c_31,c_2]) ).
cnf(c_162,plain,
( ~ p28(f19(f17(c43)),f19(c35))
| ~ p27(c35)
| ~ p27(f17(c43)) ),
inference(resolve,[status(thm)],[c_41,c_15]) ).
cnf(c_163,plain,
( ~ p28(f19(f17(c43)),f19(c35))
| ~ p27(c35) ),
inference(resolve,[status(thm)],[c_64,c_162]) ).
cnf(c_73,plain,
~ p28(f19(f17(c43)),f19(c35)),
inference(resolve,[status(thm)],[c_3,c_163]) ).
cnf(c_164,plain,
( ~ p18(f19(f17(c43)),A)
| p18(f20(f19(c43)),A) ),
inference(resolve,[status(thm)],[c_37,c_68]) ).
cnf(c_145,plain,
p18(f20(f19(c43)),f19(f17(c43))),
inference(resolve,[status(thm)],[c_164,c_10]) ).
cnf(c_165,plain,
( ~ p18(C,A)
| ~ p28(C,B)
| p28(A,B) ),
inference(resolve,[status(thm)],[c_44,c_10]) ).
cnf(c_166,plain,
( ~ p18(f20(f19(c43)),A)
| p28(A,f19(c35)) ),
inference(resolve,[status(thm)],[c_165,c_18]) ).
cnf(c_167,plain,
p28(f19(f17(c43)),f19(c35)),
inference(resolve,[status(thm)],[c_166,c_145]) ).
cnf(c_161,plain,
$false,
inference(resolve,[status(thm)],[c_73,c_167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN689-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n007.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sat Sep 26 18:18:09 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.43 % Process 200170 was started by sandbox2 on n007,
% 0.15/0.43 % Sat Sep 26 18:18:09 2026
% 0.15/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/0.44
% 0.15/0.44 % From the command line: assign(max_seconds, 300).
% 0.15/0.46
% 0.15/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.46
% 0.15/0.46 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.15/0.46 % Length of proof is 15.
% 0.15/0.46 % Level of proof is 3.
% 0.15/0.46 % Maximum clause weight is 24.000.
% 0.15/0.46 % Given clauses 84.
% 0.15/0.46
% 0.15/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------