%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN625-1 : 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 : n014.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 0.10s 5.57s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 25 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 48 ( 1 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(c21_is_p15_1,axiom,
p15(c21),
file('theBenchmark.p',c21_is_p15_1) ).
cnf(c_1,plain,
p15(c21),
inference(clausify,[status(thm)],[c21_is_p15_1]) ).
fof(f4_is_not_p15_8,axiom,
~ p15(f4(f7(c19,c20),c21)),
file('theBenchmark.p',f4_is_not_p15_8) ).
cnf(c_8,plain,
~ p15(f4(f7(c19,c20),c21)),
inference(clausify,[status(thm)],[f4_is_not_p15_8]) ).
fof(not_p15_10,axiom,
! [VAR_0,VAR_1] :
( ~ p18(f9(VAR_0),VAR_1,VAR_1)
| ~ p15(VAR_0) ),
file('theBenchmark.p',not_p15_10) ).
cnf(c_10,plain,
( ~ p18(f9(A),B,B)
| ~ p15(A) ),
inference(clausify,[status(thm)],[not_p15_10]) ).
fof(p15_15,axiom,
! [VAR_0] :
( p18(f9(VAR_0),f14(VAR_0),f14(VAR_0))
| p15(VAR_0) ),
file('theBenchmark.p',p15_15) ).
cnf(c_15,plain,
( p18(f9(A),f14(A),f14(A))
| p15(A) ),
inference(clausify,[status(thm)],[p15_15]) ).
fof(not_p17_16,axiom,
! [VAR_0] :
( ~ p16(f9(c21),VAR_0,c19)
| ~ p17(VAR_0,f11(c20)) ),
file('theBenchmark.p',not_p17_16) ).
cnf(c_16,plain,
( ~ p16(f9(c21),A,c19)
| ~ p17(A,f11(c20)) ),
inference(clausify,[status(thm)],[not_p17_16]) ).
fof(p16_23,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p16(VAR_0,VAR_3,VAR_2)
| ~ p16(VAR_0,VAR_1,VAR_3)
| p16(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',p16_23) ).
cnf(c_23,plain,
( ~ p16(A,D,C)
| ~ p16(A,B,D)
| p16(A,B,C) ),
inference(clausify,[status(thm)],[p16_23]) ).
fof(p16_32,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ p18(f9(f4(f7(VAR_2,VAR_4),VAR_0)),VAR_1,VAR_3)
| p18(f9(VAR_0),VAR_1,VAR_3)
| p16(f9(VAR_0),VAR_1,VAR_2) ),
file('theBenchmark.p',p16_32) ).
cnf(c_32,plain,
( ~ p18(f9(f4(f7(C,E),A)),B,D)
| p18(f9(A),B,D)
| p16(f9(A),B,C) ),
inference(clausify,[status(thm)],[p16_32]) ).
fof(p18_33,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ p18(f9(f4(f7(VAR_3,VAR_4),VAR_0)),VAR_1,VAR_2)
| p17(f12(VAR_0,VAR_3,VAR_4,VAR_1,VAR_2),f11(VAR_4))
| p18(f9(VAR_0),VAR_1,VAR_2) ),
file('theBenchmark.p',p18_33) ).
cnf(c_33,plain,
( ~ p18(f9(f4(f7(D,E),A)),B,C)
| p17(f12(A,D,E,B,C),f11(E))
| p18(f9(A),B,C) ),
inference(clausify,[status(thm)],[p18_33]) ).
fof(p18_34,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ p18(f9(f4(f7(VAR_3,VAR_4),VAR_0)),VAR_1,VAR_2)
| p16(f9(VAR_0),f12(VAR_0,VAR_3,VAR_4,VAR_1,VAR_2),VAR_2)
| p18(f9(VAR_0),VAR_1,VAR_2) ),
file('theBenchmark.p',p18_34) ).
cnf(c_34,plain,
( ~ p18(f9(f4(f7(D,E),A)),B,C)
| p16(f9(A),f12(A,D,E,B,C),C)
| p18(f9(A),B,C) ),
inference(clausify,[status(thm)],[p18_34]) ).
cnf(c_44,plain,
~ p18(f9(c21),A,A),
inference(resolve,[status(thm)],[c_10,c_1]) ).
cnf(c_46,plain,
p18(f9(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),
inference(resolve,[status(thm)],[c_15,c_8]) ).
cnf(c_142,plain,
( p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21)))
| p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(resolve,[status(thm)],[c_46,c_34]) ).
cnf(c_71,plain,
p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21))),
inference(resolve,[status(thm)],[c_44,c_142]) ).
cnf(c_143,plain,
( p17(f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f11(c20))
| p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(resolve,[status(thm)],[c_46,c_33]) ).
cnf(c_72,plain,
p17(f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f11(c20)),
inference(resolve,[status(thm)],[c_44,c_143]) ).
cnf(c_144,plain,
( p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19) ),
inference(resolve,[status(thm)],[c_46,c_32]) ).
cnf(c_73,plain,
p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19),
inference(resolve,[status(thm)],[c_44,c_144]) ).
cnf(c_134,plain,
~ p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),c19),
inference(resolve,[status(thm)],[c_16,c_72]) ).
cnf(c_145,plain,
( ~ p16(f9(c21),A,c19)
| ~ p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),A) ),
inference(resolve,[status(thm)],[c_23,c_134]) ).
cnf(c_146,plain,
~ p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21))),
inference(resolve,[status(thm)],[c_145,c_73]) ).
cnf(c_141,plain,
$false,
inference(resolve,[status(thm)],[c_71,c_146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN625-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.53 % Computer : n014.cluster.edu
% 0.10/5.53 % Model : x86_64 x86_64
% 0.10/5.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.53 % Memory : 8046.5625MB
% 0.10/5.53 % OS : Linux 6.8.0-71-generic
% 0.10/5.53 % CPULimit : 300
% 0.10/5.53 % WCLimit : 300
% 0.10/5.53 % DateTime : Sat Sep 26 18:17:08 UTC 2026
% 0.10/5.53 % CPUTime :
% 0.10/5.53 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/5.53 % Process 3817857 was started by sandbox on n014,
% 0.10/5.53 % Sat Sep 26 18:17:08 2026
% 0.10/5.53 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/5.54
% 0.10/5.54 % From the command line: assign(max_seconds, 300).
% 0.10/5.57
% 0.10/5.57 % SZS status Unsatisfiable for theBenchmark
% 0.10/5.57
% 0.10/5.57 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.10/5.57 % Length of proof is 16.
% 0.10/5.57 % Level of proof is 4.
% 0.10/5.57 % Maximum clause weight is 50.000.
% 0.10/5.57 % Given clauses 96.
% 0.10/5.57
% 0.10/5.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------