%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN648-1 : 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 : n013.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 0.14s 10.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 12 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 90 ( 48 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p3_5,axiom,
! [VAR_0] : p3(VAR_0,VAR_0),
file('theBenchmark.p',p3_5) ).
cnf(c_5,plain,
p3(A,A),
inference(clausify,[status(thm)],[p3_5]) ).
fof(p2_14,axiom,
p2(c27,c30),
file('theBenchmark.p',p2_14) ).
cnf(c_14,plain,
p2(c27,c30),
inference(clausify,[status(thm)],[p2_14]) ).
fof(p26_15,axiom,
p26(c31,c30),
file('theBenchmark.p',p26_15) ).
cnf(c_15,plain,
p26(c31,c30),
inference(clausify,[status(thm)],[p26_15]) ).
fof(not_p24_16,axiom,
~ p24(f4(c27,c28),c29),
file('theBenchmark.p',not_p24_16) ).
cnf(c_16,plain,
~ p24(f4(c27,c28),c29),
inference(clausify,[status(thm)],[not_p24_16]) ).
fof(p24_30,axiom,
! [VAR_0,VAR_1] :
( ~ p24(f4(f6(c32,c30),VAR_0),VAR_1)
| p24(f4(c30,VAR_0),VAR_1) ),
file('theBenchmark.p',p24_30) ).
cnf(c_30,plain,
( ~ p24(f4(f6(c32,c30),A),B)
| p24(f4(c30,A),B) ),
inference(clausify,[status(thm)],[p24_30]) ).
fof(p24_43,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p24(f4(VAR_3,f17(f19(f21(f23(c33,VAR_0),VAR_1),VAR_2),VAR_3)),f9(f11(f13(f15(c34,VAR_0),VAR_1),VAR_2),VAR_3))
| ~ p3(VAR_1,f4(VAR_2,c28))
| ~ p26(c31,VAR_3)
| ~ p2(VAR_2,VAR_3)
| ~ p3(VAR_0,VAR_1)
| p24(VAR_0,c29) ),
file('theBenchmark.p',p24_43) ).
cnf(c_43,plain,
( ~ p24(f4(D,f17(f19(f21(f23(c33,A),B),C),D)),f9(f11(f13(f15(c34,A),B),C),D))
| ~ p3(B,f4(C,c28))
| ~ p26(c31,D)
| ~ p2(C,D)
| ~ p3(A,B)
| p24(A,c29) ),
inference(clausify,[status(thm)],[p24_43]) ).
fof(p24_44,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_2,f4(VAR_3,c28))
| ~ p26(c31,VAR_1)
| ~ p2(VAR_3,VAR_1)
| ~ p3(VAR_0,VAR_2)
| p24(f4(f6(c32,VAR_1),f17(f19(f21(f23(c33,VAR_0),VAR_2),VAR_3),VAR_1)),f9(f11(f13(f15(c34,VAR_0),VAR_2),VAR_3),VAR_1))
| p24(VAR_0,c29) ),
file('theBenchmark.p',p24_44) ).
cnf(c_44,plain,
( ~ p3(C,f4(D,c28))
| ~ p26(c31,B)
| ~ p2(D,B)
| ~ p3(A,C)
| p24(f4(f6(c32,B),f17(f19(f21(f23(c33,A),C),D),B)),f9(f11(f13(f15(c34,A),C),D),B))
| p24(A,c29) ),
inference(clausify,[status(thm)],[p24_44]) ).
cnf(c_82,plain,
( ~ p26(c31,B)
| ~ p2(A,B)
| ~ p3(f4(A,c28),f4(A,c28))
| p24(f4(f6(c32,B),f17(f19(f21(f23(c33,f4(A,c28)),f4(A,c28)),A),B)),f9(f11(f13(f15(c34,f4(A,c28)),f4(A,c28)),A),B))
| p24(f4(A,c28),c29) ),
inference(factor,[status(thm)],[c_44]) ).
cnf(c_46,plain,
( ~ p26(c31,B)
| ~ p2(A,B)
| p24(f4(f6(c32,B),f17(f19(f21(f23(c33,f4(A,c28)),f4(A,c28)),A),B)),f9(f11(f13(f15(c34,f4(A,c28)),f4(A,c28)),A),B))
| p24(f4(A,c28),c29) ),
inference(resolve,[status(thm)],[c_5,c_82]) ).
cnf(c_83,plain,
( ~ p24(f4(C,f17(f19(f21(f23(c33,f4(c27,c28)),A),B),C)),f9(f11(f13(f15(c34,f4(c27,c28)),A),B),C))
| ~ p3(A,f4(B,c28))
| ~ p26(c31,C)
| ~ p2(B,C)
| ~ p3(f4(c27,c28),A) ),
inference(resolve,[status(thm)],[c_43,c_16]) ).
cnf(c_84,plain,
( ~ p24(f4(B,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),A),B)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),A),B))
| ~ p3(f4(c27,c28),f4(A,c28))
| ~ p26(c31,B)
| ~ p2(A,B) ),
inference(resolve,[status(thm)],[c_83,c_5]) ).
cnf(c_85,plain,
( ~ p24(f4(c30,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30))
| ~ p3(f4(c27,c28),f4(c27,c28))
| ~ p26(c31,c30) ),
inference(resolve,[status(thm)],[c_84,c_14]) ).
cnf(c_86,plain,
( ~ p24(f4(c30,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30))
| ~ p3(f4(c27,c28),f4(c27,c28)) ),
inference(resolve,[status(thm)],[c_85,c_15]) ).
cnf(c_76,plain,
~ p24(f4(c30,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30)),
inference(resolve,[status(thm)],[c_86,c_5]) ).
cnf(c_80,plain,
~ p24(f4(f6(c32,c30),f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30)),
inference(resolve,[status(thm)],[c_30,c_76]) ).
cnf(c_87,plain,
( ~ p26(c31,A)
| ~ p2(c27,A)
| p24(f4(f6(c32,A),f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),A)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),A)) ),
inference(resolve,[status(thm)],[c_46,c_16]) ).
cnf(c_88,plain,
( ~ p26(c31,c30)
| ~ p2(c27,c30) ),
inference(resolve,[status(thm)],[c_87,c_80]) ).
cnf(c_89,plain,
~ p2(c27,c30),
inference(resolve,[status(thm)],[c_88,c_15]) ).
cnf(c_81,plain,
$false,
inference(resolve,[status(thm)],[c_14,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN648-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.39 % Computer : n013.cluster.edu
% 0.10/10.39 % Model : x86_64 x86_64
% 0.10/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.39 % Memory : 8046.5625MB
% 0.10/10.39 % OS : Linux 6.8.0-71-generic
% 0.10/10.39 % CPULimit : 300
% 0.10/10.39 % WCLimit : 300
% 0.10/10.39 % DateTime : Sat Sep 26 18:17:47 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.10/10.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/10.39 % Process 3350040 was started by sandbox2 on n013,
% 0.10/10.39 % Sat Sep 26 18:17:47 2026
% 0.10/10.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/10.40
% 0.14/10.40 % From the command line: assign(max_seconds, 300).
% 0.14/10.41
% 0.14/10.41 % SZS status Unsatisfiable for theBenchmark
% 0.14/10.41
% 0.14/10.41 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.14/10.41 % Length of proof is 11.
% 0.14/10.41 % Level of proof is 3.
% 0.14/10.41 % Maximum clause weight is 42.000.
% 0.14/10.41 % Given clauses 49.
% 0.14/10.41
% 0.14/10.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------