%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN574-1 : 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 : n017.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 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 18 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 95 ( 51 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 18 !; 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(p2_4,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_4) ).
cnf(c_4,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_4]) ).
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(p3_7,axiom,
! [VAR_0] : p3(f4(f5(VAR_0)),f4(VAR_0)),
file('theBenchmark.p',p3_7) ).
cnf(c_7,plain,
p3(f4(f5(A)),f4(A)),
inference(clausify,[status(thm)],[p3_7]) ).
fof(p9_10,axiom,
! [VAR_0] :
( ~ p9(VAR_0,c13)
| p9(VAR_0,f4(c14)) ),
file('theBenchmark.p',p9_10) ).
cnf(c_10,plain,
( ~ p9(A,c13)
| p9(A,f4(c14)) ),
inference(clausify,[status(thm)],[p9_10]) ).
fof(p3_16,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_16) ).
cnf(c_16,plain,
( ~ p3(C,B)
| ~ p3(C,A)
| p3(A,B) ),
inference(clausify,[status(thm)],[p3_16]) ).
fof(p9_19,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_19) ).
cnf(c_19,plain,
( ~ p3(D,B)
| ~ p9(C,D)
| ~ p7(C,A)
| p9(A,B) ),
inference(clausify,[status(thm)],[p9_19]) ).
fof(p9_21,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p2(VAR_1,f5(VAR_2))
| ~ p9(c12,VAR_0)
| ~ p11(VAR_2,c15)
| p9(f8(VAR_0,VAR_1),f4(VAR_1))
| p9(f8(VAR_0,VAR_1),VAR_0) ),
file('theBenchmark.p',p9_21) ).
cnf(c_21,plain,
( ~ p2(B,f5(C))
| ~ p9(c12,A)
| ~ p11(C,c15)
| p9(f8(A,B),f4(B))
| p9(f8(A,B),A) ),
inference(clausify,[status(thm)],[p9_21]) ).
fof(not_p11_22,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p9(f8(VAR_1,VAR_2),f4(VAR_2))
| ~ p9(f8(VAR_1,VAR_2),VAR_1)
| ~ p2(VAR_2,f5(VAR_0))
| ~ p9(c12,VAR_1)
| ~ p11(VAR_0,c15) ),
file('theBenchmark.p',not_p11_22) ).
cnf(c_22,plain,
( ~ p9(f8(B,C),f4(C))
| ~ p9(f8(B,C),B)
| ~ p2(C,f5(A))
| ~ p9(c12,B)
| ~ p11(A,c15) ),
inference(clausify,[status(thm)],[not_p11_22]) ).
cnf(c_23,plain,
( ~ p2(A,f5(B))
| ~ p9(c12,f4(A))
| ~ p11(B,c15)
| p9(f8(f4(A),A),f4(A)) ),
inference(factor,[status(thm)],[c_21]) ).
cnf(c_25,plain,
p9(c12,f4(c14)),
inference(resolve,[status(thm)],[c_10,c_5]) ).
cnf(c_32,plain,
( ~ p3(B,A)
| p3(A,B) ),
inference(resolve,[status(thm)],[c_16,c_3]) ).
cnf(c_35,plain,
( ~ p3(C,B)
| ~ p9(A,C)
| p9(A,B) ),
inference(resolve,[status(thm)],[c_19,c_2]) ).
cnf(c_41,plain,
( ~ p9(f8(A,B),f4(B))
| ~ p9(f8(A,B),A)
| ~ p2(B,f5(c14))
| ~ p9(c12,A) ),
inference(resolve,[status(thm)],[c_22,c_6]) ).
cnf(c_42,plain,
( ~ p9(f8(f4(A),A),f4(A))
| ~ p2(A,f5(c14))
| ~ p9(c12,f4(A)) ),
inference(factor,[status(thm)],[c_41]) ).
cnf(c_44,plain,
p3(f4(A),f4(f5(A))),
inference(resolve,[status(thm)],[c_32,c_7]) ).
cnf(c_46,plain,
( ~ p3(f4(c14),A)
| p9(c12,A) ),
inference(resolve,[status(thm)],[c_35,c_25]) ).
cnf(c_53,plain,
p9(c12,f4(f5(c14))),
inference(resolve,[status(thm)],[c_44,c_46]) ).
cnf(c_67,plain,
( ~ p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14)))
| ~ p2(f5(c14),f5(c14)) ),
inference(resolve,[status(thm)],[c_42,c_53]) ).
cnf(c_59,plain,
~ p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14))),
inference(resolve,[status(thm)],[c_67,c_4]) ).
cnf(c_68,plain,
( ~ p2(f5(c14),f5(A))
| ~ p9(c12,f4(f5(c14)))
| ~ p11(A,c15) ),
inference(resolve,[status(thm)],[c_23,c_59]) ).
cnf(c_69,plain,
( ~ p2(f5(c14),f5(A))
| ~ p11(A,c15) ),
inference(resolve,[status(thm)],[c_68,c_53]) ).
cnf(c_70,plain,
~ p11(c14,c15),
inference(resolve,[status(thm)],[c_69,c_4]) ).
cnf(c_66,plain,
$false,
inference(resolve,[status(thm)],[c_6,c_70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN574-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n017.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 18:09:48 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.44 % Process 1345192 was started by sandbox2 on n017,
% 0.17/0.44 % Sat Sep 26 18:09:48 2026
% 0.17/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.45
% 0.17/0.45 % From the command line: assign(max_seconds, 300).
% 0.17/0.46
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.46
% 0.17/0.46 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.17/0.46 % Length of proof is 22.
% 0.17/0.46 % Level of proof is 5.
% 0.17/0.46 % Maximum clause weight is 33.000.
% 0.17/0.46 % Given clauses 48.
% 0.17/0.46
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------