%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN578-1 : 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 : n008.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 09:38:52 AM UTC 2026
% Result : Unsatisfiable 0.14s 5.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 20 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 77 ( 40 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p7_2,axiom,
! [VAR_0] : p7(VAR_0,VAR_0),
file('theBenchmark.p',p7_2) ).
cnf(c_2,plain,
p7(A,A),
inference(clausify,[status(thm)],[p7_2]) ).
fof(p3_3,axiom,
! [VAR_0] : p3(VAR_0,VAR_0),
file('theBenchmark.p',p3_3) ).
cnf(c_3,plain,
p3(A,A),
inference(clausify,[status(thm)],[p3_3]) ).
fof(p9_5,axiom,
p9(c12,c13),
file('theBenchmark.p',p9_5) ).
cnf(c_5,plain,
p9(c12,c13),
inference(clausify,[status(thm)],[p9_5]) ).
fof(p11_6,axiom,
p11(c14,c15),
file('theBenchmark.p',p11_6) ).
cnf(c_6,plain,
p11(c14,c15),
inference(clausify,[status(thm)],[p11_6]) ).
fof(p2_7,axiom,
p2(c16,f5(c14)),
file('theBenchmark.p',p2_7) ).
cnf(c_7,plain,
p2(c16,f5(c14)),
inference(clausify,[status(thm)],[p2_7]) ).
fof(p3_8,axiom,
! [VAR_0] : p3(f4(f5(VAR_0)),f4(VAR_0)),
file('theBenchmark.p',p3_8) ).
cnf(c_8,plain,
p3(f4(f5(A)),f4(A)),
inference(clausify,[status(thm)],[p3_8]) ).
fof(p9_11,axiom,
! [VAR_0] :
( ~ p9(VAR_0,c13)
| p9(VAR_0,f4(c16)) ),
file('theBenchmark.p',p9_11) ).
cnf(c_11,plain,
( ~ p9(A,c13)
| p9(A,f4(c16)) ),
inference(clausify,[status(thm)],[p9_11]) ).
fof(p3_14,axiom,
! [VAR_0,VAR_1] :
( ~ p2(VAR_0,VAR_1)
| p3(f4(VAR_0),f4(VAR_1)) ),
file('theBenchmark.p',p3_14) ).
cnf(c_14,plain,
( ~ p2(A,B)
| p3(f4(A),f4(B)) ),
inference(clausify,[status(thm)],[p3_14]) ).
fof(p3_17,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_17) ).
cnf(c_17,plain,
( ~ p3(C,B)
| ~ p3(C,A)
| p3(A,B) ),
inference(clausify,[status(thm)],[p3_17]) ).
fof(p9_20,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_3,VAR_1)
| ~ p9(VAR_2,VAR_3)
| ~ p7(VAR_2,VAR_0)
| p9(VAR_0,VAR_1) ),
file('theBenchmark.p',p9_20) ).
cnf(c_20,plain,
( ~ p3(D,B)
| ~ p9(C,D)
| ~ p7(C,A)
| p9(A,B) ),
inference(clausify,[status(thm)],[p9_20]) ).
fof(p9_22,axiom,
! [VAR_0,VAR_1] :
( ~ p9(c12,VAR_0)
| ~ p11(VAR_1,c15)
| p9(f8(VAR_0,VAR_1),f4(VAR_1))
| p9(f8(VAR_0,VAR_1),VAR_0) ),
file('theBenchmark.p',p9_22) ).
cnf(c_22,plain,
( ~ p9(c12,A)
| ~ p11(B,c15)
| p9(f8(A,B),f4(B))
| p9(f8(A,B),A) ),
inference(clausify,[status(thm)],[p9_22]) ).
fof(not_p11_23,axiom,
! [VAR_0,VAR_1] :
( ~ p9(f8(VAR_1,VAR_0),f4(VAR_0))
| ~ p9(f8(VAR_1,VAR_0),VAR_1)
| ~ p9(c12,VAR_1)
| ~ p11(VAR_0,c15) ),
file('theBenchmark.p',not_p11_23) ).
cnf(c_23,plain,
( ~ p9(f8(B,A),f4(A))
| ~ p9(f8(B,A),B)
| ~ p9(c12,B)
| ~ p11(A,c15) ),
inference(clausify,[status(thm)],[not_p11_23]) ).
cnf(c_26,plain,
p9(c12,f4(c16)),
inference(resolve,[status(thm)],[c_11,c_5]) ).
cnf(c_29,plain,
p3(f4(c16),f4(f5(c14))),
inference(resolve,[status(thm)],[c_14,c_7]) ).
cnf(c_35,plain,
( ~ p3(f4(f5(B)),A)
| p3(A,f4(B)) ),
inference(resolve,[status(thm)],[c_17,c_8]) ).
cnf(c_36,plain,
( ~ p3(B,A)
| p3(A,B) ),
inference(resolve,[status(thm)],[c_17,c_3]) ).
cnf(c_41,plain,
( ~ p3(C,B)
| ~ p9(A,C)
| p9(A,B) ),
inference(resolve,[status(thm)],[c_20,c_2]) ).
cnf(c_45,plain,
( ~ p9(c12,A)
| p9(f8(A,c14),f4(c14))
| p9(f8(A,c14),A) ),
inference(resolve,[status(thm)],[c_22,c_6]) ).
cnf(c_46,plain,
( ~ p9(c12,f4(c14))
| p9(f8(f4(c14),c14),f4(c14)) ),
inference(factor,[status(thm)],[c_45]) ).
cnf(c_47,plain,
( ~ p9(f8(A,c14),f4(c14))
| ~ p9(f8(A,c14),A)
| ~ p9(c12,A) ),
inference(resolve,[status(thm)],[c_23,c_6]) ).
cnf(c_48,plain,
( ~ p9(f8(f4(c14),c14),f4(c14))
| ~ p9(c12,f4(c14)) ),
inference(factor,[status(thm)],[c_47]) ).
cnf(c_63,plain,
p3(f4(f5(c14)),f4(c16)),
inference(resolve,[status(thm)],[c_29,c_36]) ).
cnf(c_67,plain,
( ~ p3(f4(c16),A)
| p9(c12,A) ),
inference(resolve,[status(thm)],[c_41,c_26]) ).
cnf(c_117,plain,
p3(f4(c16),f4(c14)),
inference(resolve,[status(thm)],[c_63,c_35]) ).
cnf(c_122,plain,
p9(c12,f4(c14)),
inference(resolve,[status(thm)],[c_117,c_67]) ).
cnf(c_126,plain,
~ p9(f8(f4(c14),c14),f4(c14)),
inference(resolve,[status(thm)],[c_122,c_48]) ).
cnf(c_128,plain,
~ p9(c12,f4(c14)),
inference(resolve,[status(thm)],[c_126,c_46]) ).
cnf(c_127,plain,
$false,
inference(resolve,[status(thm)],[c_122,c_128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN578-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n008.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sat Sep 26 18:15:30 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/5.39 % Process 64199 was started by sandbox2 on n008,
% 0.11/5.39 % Sat Sep 26 18:15:30 2026
% 0.11/5.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.11/5.39
% 0.11/5.39 % From the command line: assign(max_seconds, 300).
% 0.14/5.40
% 0.14/5.40 % SZS status Unsatisfiable for theBenchmark
% 0.14/5.40
% 0.14/5.40 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.14/5.40 % Length of proof is 27.
% 0.14/5.40 % Level of proof is 6.
% 0.14/5.40 % Maximum clause weight is 27.000.
% 0.14/5.40 % Given clauses 66.
% 0.14/5.40
% 0.14/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------