%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN596-1 : 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 09:38:55 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 19 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 21 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p10_1,axiom,
! [VAR_0] : p10(VAR_0,VAR_0),
file('theBenchmark.p',p10_1) ).
cnf(c_1,plain,
p10(A,A),
inference(clausify,[status(thm)],[p10_1]) ).
fof(p2_4,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_4) ).
cnf(c_4,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_4]) ).
fof(p10_15,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p10(VAR_2,VAR_1)
| ~ p10(VAR_2,VAR_0)
| p10(VAR_0,VAR_1) ),
file('theBenchmark.p',p10_15) ).
cnf(c_15,plain,
( ~ p10(C,B)
| ~ p10(C,A)
| p10(A,B) ),
inference(clausify,[status(thm)],[p10_15]) ).
fof(p18_20,axiom,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('theBenchmark.p',p18_20) ).
cnf(c_20,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(clausify,[status(thm)],[p18_20]) ).
fof(not_p18_21,axiom,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
file('theBenchmark.p',not_p18_21) ).
cnf(c_21,plain,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(clausify,[status(thm)],[not_p18_21]) ).
fof(p18_23,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p10(VAR_3,VAR_1)
| ~ p2(VAR_2,VAR_0)
| ~ p18(VAR_2,VAR_3)
| p18(VAR_0,VAR_1) ),
file('theBenchmark.p',p18_23) ).
cnf(c_23,plain,
( ~ p10(D,B)
| ~ p2(C,A)
| ~ p18(C,D)
| p18(A,B) ),
inference(clausify,[status(thm)],[p18_23]) ).
fof(p10_28,axiom,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('theBenchmark.p',p10_28) ).
cnf(c_28,plain,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(clausify,[status(thm)],[p10_28]) ).
cnf(c_34,plain,
( ~ p10(B,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24))
| ~ p2(A,c20)
| ~ p18(A,B) ),
inference(resolve,[status(thm)],[c_23,c_21]) ).
cnf(c_35,plain,
( ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24))
| ~ p2(c20,c20) ),
inference(resolve,[status(thm)],[c_34,c_20]) ).
cnf(c_30,plain,
~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(resolve,[status(thm)],[c_35,c_4]) ).
cnf(c_36,plain,
( ~ p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),A)
| p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),A) ),
inference(resolve,[status(thm)],[c_15,c_28]) ).
cnf(c_32,plain,
p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(resolve,[status(thm)],[c_36,c_1]) ).
cnf(c_33,plain,
$false,
inference(resolve,[status(thm)],[c_32,c_30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN596-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n007.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % 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 18:13:24 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 186959 was started by sandbox2 on n007,
% 0.08/0.35 % Sat Sep 26 18:13:24 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.35
% 0.12/0.35 % From the command line: assign(max_seconds, 300).
% 0.12/0.37
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.37
% 0.12/0.37 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.12/0.37 % Length of proof is 10.
% 0.12/0.37 % Level of proof is 2.
% 0.12/0.37 % Maximum clause weight is 21.000.
% 0.12/0.37 % Given clauses 28.
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------