%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN628-1 : 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 : 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 09:38:59 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.65s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 16 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 31 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2_1,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_1) ).
cnf(c_1,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_1]) ).
fof(p9_2,axiom,
! [VAR_0] : p9(VAR_0,VAR_0),
file('theBenchmark.p',p9_2) ).
cnf(c_2,plain,
p9(A,A),
inference(clausify,[status(thm)],[p9_2]) ).
fof(p9_6,axiom,
p9(c28,c22),
file('theBenchmark.p',p9_6) ).
cnf(c_6,plain,
p9(c28,c22),
inference(clausify,[status(thm)],[p9_6]) ).
fof(p9_13,axiom,
! [VAR_0,VAR_1] :
( ~ p9(VAR_0,VAR_1)
| p9(f16(VAR_0),f16(VAR_1)) ),
file('theBenchmark.p',p9_13) ).
cnf(c_13,plain,
( ~ p9(A,B)
| p9(f16(A),f16(B)) ),
inference(clausify,[status(thm)],[p9_13]) ).
fof(p20_26,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p20(VAR_2,VAR_3)
| ~ p9(VAR_3,VAR_1)
| ~ p9(VAR_2,VAR_0)
| p20(VAR_0,VAR_1) ),
file('theBenchmark.p',p20_26) ).
cnf(c_26,plain,
( ~ p20(C,D)
| ~ p9(D,B)
| ~ p9(C,A)
| p20(A,B) ),
inference(clausify,[status(thm)],[p20_26]) ).
fof(p9_29,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p9(VAR_1,VAR_3)
| ~ p9(VAR_0,VAR_2)
| p9(f17(VAR_0,VAR_1),f17(VAR_2,VAR_3)) ),
file('theBenchmark.p',p9_29) ).
cnf(c_29,plain,
( ~ p9(B,D)
| ~ p9(A,C)
| p9(f17(A,B),f17(C,D)) ),
inference(clausify,[status(thm)],[p9_29]) ).
fof(p9_30,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p9(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p9(f15(VAR_0,VAR_1),f15(VAR_2,VAR_3)) ),
file('theBenchmark.p',p9_30) ).
cnf(c_30,plain,
( ~ p9(B,D)
| ~ p2(A,C)
| p9(f15(A,B),f15(C,D)) ),
inference(clausify,[status(thm)],[p9_30]) ).
fof(p9_31,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p9(VAR_1,VAR_3)
| ~ p9(VAR_0,VAR_2)
| p9(f10(VAR_0,VAR_1),f10(VAR_2,VAR_3)) ),
file('theBenchmark.p',p9_31) ).
cnf(c_31,plain,
( ~ p9(B,D)
| ~ p9(A,C)
| p9(f10(A,B),f10(C,D)) ),
inference(clausify,[status(thm)],[p9_31]) ).
fof(p20_34,axiom,
p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
file('theBenchmark.p',p20_34) ).
cnf(c_34,plain,
p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
inference(clausify,[status(thm)],[p20_34]) ).
fof(not_p20_35,axiom,
~ p20(f16(f17(c22,c27)),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))),
file('theBenchmark.p',not_p20_35) ).
cnf(c_35,plain,
~ p20(f16(f17(c22,c27)),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))),
inference(clausify,[status(thm)],[not_p20_35]) ).
cnf(c_1733,plain,
( ~ p9(A,B)
| p9(f17(c28,A),f17(c22,B)) ),
inference(resolve,[status(thm)],[c_29,c_6]) ).
cnf(c_45,plain,
p9(f17(c28,A),f17(c22,A)),
inference(resolve,[status(thm)],[c_1733,c_2]) ).
cnf(c_1734,plain,
( ~ p9(B,C)
| p9(f15(A,B),f15(A,C)) ),
inference(resolve,[status(thm)],[c_30,c_1]) ).
cnf(c_47,plain,
p9(f15(A,c28),f15(A,c22)),
inference(resolve,[status(thm)],[c_1734,c_6]) ).
cnf(c_57,plain,
( ~ p20(A,B)
| ~ p9(B,f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29))))))
| ~ p9(A,f16(f17(c22,c27))) ),
inference(resolve,[status(thm)],[c_35,c_26]) ).
cnf(c_399,plain,
p9(f16(f17(c28,A)),f16(f17(c22,A))),
inference(resolve,[status(thm)],[c_13,c_45]) ).
cnf(c_1735,plain,
( ~ p9(B,C)
| p9(f10(f15(A,c28),B),f10(f15(A,c22),C)) ),
inference(resolve,[status(thm)],[c_31,c_47]) ).
cnf(c_493,plain,
p9(f10(f15(A,c28),B),f10(f15(A,c22),B)),
inference(resolve,[status(thm)],[c_1735,c_2]) ).
cnf(c_1736,plain,
( ~ p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29))))))
| ~ p9(f16(f17(c28,c27)),f16(f17(c22,c27))) ),
inference(resolve,[status(thm)],[c_57,c_34]) ).
cnf(c_1737,plain,
~ p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))),
inference(resolve,[status(thm)],[c_399,c_1736]) ).
cnf(c_1732,plain,
$false,
inference(resolve,[status(thm)],[c_493,c_1737]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN628-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.44 % Computer : n007.cluster.edu
% 0.09/0.44 % Model : x86_64 x86_64
% 0.09/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.44 % Memory : 8046.5625MB
% 0.09/0.44 % OS : Linux 6.8.0-71-generic
% 0.09/0.44 % CPULimit : 300
% 0.09/0.44 % WCLimit : 300
% 0.09/0.44 % DateTime : Sat Sep 26 18:14:54 UTC 2026
% 0.09/0.45 % CPUTime :
% 0.09/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.45 % Process 192581 was started by sandbox on n007,
% 0.09/0.45 % Sat Sep 26 18:14:54 2026
% 0.09/0.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.45
% 0.09/0.45 % From the command line: assign(max_seconds, 300).
% 0.14/0.65
% 0.14/0.65 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.65
% 0.14/0.65 % Proof 1 at 0.05 (+ 0.02) seconds.
% 0.14/0.65 % Length of proof is 16.
% 0.14/0.65 % Level of proof is 3.
% 0.14/0.65 % Maximum clause weight is 54.000.
% 0.14/0.65 % Given clauses 86.
% 0.14/0.65
% 0.14/0.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------