%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN627-1 : 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 : n009.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 0.09s 0.50s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 23 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 34 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-5 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 41 ( 3 sgn 15 !; 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_6,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_6) ).
cnf(c_6,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_6]) ).
fof(p15_7,axiom,
p15(c18,c19),
file('theBenchmark.p',p15_7) ).
cnf(c_7,plain,
p15(c18,c19),
inference(clausify,[status(thm)],[p15_7]) ).
fof(not_p3_8,axiom,
~ p3(c23,c24),
file('theBenchmark.p',not_p3_8) ).
cnf(c_8,plain,
~ p3(c23,c24),
inference(clausify,[status(thm)],[not_p3_8]) ).
fof(p3_9,axiom,
p3(c23,f4(f7(c17,c18),c21)),
file('theBenchmark.p',p3_9) ).
cnf(c_9,plain,
p3(c23,f4(f7(c17,c18),c21)),
inference(clausify,[status(thm)],[p3_9]) ).
fof(p16_10,axiom,
p16(c17,c20,f9(c19,c18),c21,c22),
file('theBenchmark.p',p16_10) ).
cnf(c_10,plain,
p16(c17,c20,f9(c19,c18),c21,c22),
inference(clausify,[status(thm)],[p16_10]) ).
fof(p3_18,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p3(VAR_2,VAR_1)
| ~ p3(VAR_2,VAR_0)
| p3(VAR_0,VAR_1) ),
file('theBenchmark.p',p3_18) ).
cnf(c_18,plain,
( ~ p3(C,B)
| ~ p3(C,A)
| p3(A,B) ),
inference(clausify,[status(thm)],[p3_18]) ).
fof(p3_20,axiom,
! [VAR_0] :
( ~ p15(VAR_0,c19)
| p3(c24,f4(f7(c17,VAR_0),f14(VAR_0))) ),
file('theBenchmark.p',p3_20) ).
cnf(c_20,plain,
( ~ p15(A,c19)
| p3(c24,f4(f7(c17,A),f14(A))) ),
inference(clausify,[status(thm)],[p3_20]) ).
fof(p16_23,axiom,
! [VAR_0] :
( ~ p15(VAR_0,c19)
| p16(c17,c20,f9(c19,VAR_0),f14(VAR_0),c25) ),
file('theBenchmark.p',p16_23) ).
cnf(c_23,plain,
( ~ p15(A,c19)
| p16(c17,c20,f9(c19,A),f14(A),c25) ),
inference(clausify,[status(thm)],[p16_23]) ).
fof(p3_27,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p3(f4(VAR_0,VAR_1),f4(VAR_2,VAR_3)) ),
file('theBenchmark.p',p3_27) ).
cnf(c_27,plain,
( ~ p3(B,D)
| ~ p2(A,C)
| p3(f4(A,B),f4(C,D)) ),
inference(clausify,[status(thm)],[p3_27]) ).
fof(p3_28,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p16(c17,c20,VAR_2,VAR_0,c22)
| ~ p16(c17,c20,VAR_2,VAR_1,VAR_3)
| p3(VAR_0,VAR_1) ),
file('theBenchmark.p',p3_28) ).
cnf(c_28,plain,
( ~ p16(c17,c20,C,A,c22)
| ~ p16(c17,c20,C,B,D)
| p3(A,B) ),
inference(clausify,[status(thm)],[p3_28]) ).
cnf(c_45,plain,
( ~ p3(B,A)
| p3(A,B) ),
inference(resolve,[status(thm)],[c_18,c_5]) ).
cnf(c_117,plain,
( ~ p3(A,c24)
| ~ p3(A,c23) ),
inference(resolve,[status(thm)],[c_18,c_8]) ).
cnf(c_46,plain,
~ p3(c24,c23),
inference(resolve,[status(thm)],[c_117,c_5]) ).
cnf(c_48,plain,
p3(c24,f4(f7(c17,c18),f14(c18))),
inference(resolve,[status(thm)],[c_20,c_7]) ).
cnf(c_51,plain,
p16(c17,c20,f9(c19,c18),f14(c18),c25),
inference(resolve,[status(thm)],[c_23,c_7]) ).
cnf(c_55,plain,
( ~ p3(B,C)
| p3(f4(A,B),f4(A,C)) ),
inference(resolve,[status(thm)],[c_27,c_6]) ).
cnf(c_67,plain,
p3(f4(f7(c17,c18),c21),c23),
inference(resolve,[status(thm)],[c_45,c_9]) ).
cnf(c_118,plain,
( ~ p3(A,c23)
| ~ p3(A,c24) ),
inference(resolve,[status(thm)],[c_18,c_46]) ).
cnf(c_70,plain,
~ p3(f4(f7(c17,c18),c21),c24),
inference(resolve,[status(thm)],[c_118,c_67]) ).
cnf(c_71,plain,
p3(f4(f7(c17,c18),f14(c18)),c24),
inference(resolve,[status(thm)],[c_48,c_45]) ).
cnf(c_119,plain,
( ~ p3(A,c24)
| ~ p3(A,f4(f7(c17,c18),c21)) ),
inference(resolve,[status(thm)],[c_18,c_70]) ).
cnf(c_82,plain,
~ p3(f4(f7(c17,c18),f14(c18)),f4(f7(c17,c18),c21)),
inference(resolve,[status(thm)],[c_119,c_71]) ).
cnf(c_111,plain,
~ p3(f14(c18),c21),
inference(resolve,[status(thm)],[c_55,c_82]) ).
cnf(c_113,plain,
~ p3(c21,f14(c18)),
inference(resolve,[status(thm)],[c_45,c_111]) ).
cnf(c_120,plain,
( ~ p16(c17,c20,A,c21,c22)
| ~ p16(c17,c20,A,f14(c18),B) ),
inference(resolve,[status(thm)],[c_28,c_113]) ).
cnf(c_115,plain,
~ p16(c17,c20,f9(c19,c18),f14(c18),A),
inference(resolve,[status(thm)],[c_120,c_10]) ).
cnf(c_116,plain,
$false,
inference(resolve,[status(thm)],[c_115,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN627-1 : 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 : n009.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 18:17:00 UTC 2026
% 0.09/0.44 % CPUTime :
% 0.09/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.45 % Process 829076 was started by sandbox on n009,
% 0.09/0.45 % Sat Sep 26 18:17:00 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).
% 0.09/0.50
% 0.09/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.50
% 0.09/0.50 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.09/0.50 % Length of proof is 24.
% 0.09/0.50 % Level of proof is 8.
% 0.09/0.50 % Maximum clause weight is 15.000.
% 0.09/0.50 % Given clauses 69.
% 0.09/0.50
% 0.09/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------