%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN580-1 : 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 09:38:53 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 37 ( 20 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 76 ( 42 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 46 ( 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(p4_3,axiom,
! [VAR_0] : p4(VAR_0,VAR_0),
file('theBenchmark.p',p4_3) ).
cnf(c_3,plain,
p4(A,A),
inference(clausify,[status(thm)],[p4_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(p11_5,axiom,
p11(c15,c16),
file('theBenchmark.p',p11_5) ).
cnf(c_5,plain,
p11(c15,c16),
inference(clausify,[status(thm)],[p11_5]) ).
fof(p9_6,axiom,
p9(c12,c13),
file('theBenchmark.p',p9_6) ).
cnf(c_6,plain,
p9(c12,c13),
inference(clausify,[status(thm)],[p9_6]) ).
fof(p2_7,axiom,
p2(c14,f3(c15)),
file('theBenchmark.p',p2_7) ).
cnf(c_7,plain,
p2(c14,f3(c15)),
inference(clausify,[status(thm)],[p2_7]) ).
fof(not_p8_8,axiom,
~ p8(c12,c13,c14),
file('theBenchmark.p',not_p8_8) ).
cnf(c_8,plain,
~ p8(c12,c13,c14),
inference(clausify,[status(thm)],[not_p8_8]) ).
fof(p2_15,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p2(VAR_2,VAR_1)
| ~ p2(VAR_2,VAR_0)
| p2(VAR_0,VAR_1) ),
file('theBenchmark.p',p2_15) ).
cnf(c_15,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_15]) ).
fof(p8_16,axiom,
! [VAR_0,VAR_1] :
( ~ p9(c12,VAR_0)
| ~ p11(VAR_1,c16)
| p8(c12,VAR_0,VAR_1) ),
file('theBenchmark.p',p8_16) ).
cnf(c_16,plain,
( ~ p9(c12,A)
| ~ p11(B,c16)
| p8(c12,A,B) ),
inference(clausify,[status(thm)],[p8_16]) ).
fof(p9_18,axiom,
! [VAR_0,VAR_1] :
( ~ p9(c12,VAR_1)
| p8(c12,VAR_1,f3(VAR_0))
| p9(c12,f6(VAR_0)) ),
file('theBenchmark.p',p9_18) ).
cnf(c_18,plain,
( ~ p9(c12,B)
| p8(c12,B,f3(A))
| p9(c12,f6(A)) ),
inference(clausify,[status(thm)],[p9_18]) ).
fof(p8_22,axiom,
! [VAR_0,VAR_1] :
( ~ p8(c12,f6(VAR_1),VAR_1)
| ~ p9(c12,VAR_0)
| p8(c12,VAR_0,f3(VAR_1)) ),
file('theBenchmark.p',p8_22) ).
cnf(c_22,plain,
( ~ p8(c12,f6(B),B)
| ~ p9(c12,A)
| p8(c12,A,f3(B)) ),
inference(clausify,[status(thm)],[p8_22]) ).
fof(p8_23,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( ~ p8(VAR_5,VAR_4,VAR_3)
| ~ p7(VAR_5,VAR_0)
| ~ p4(VAR_4,VAR_1)
| ~ p2(VAR_3,VAR_2)
| p8(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',p8_23) ).
cnf(c_23,plain,
( ~ p8(F,E,D)
| ~ p7(F,A)
| ~ p4(E,B)
| ~ p2(D,C)
| p8(A,B,C) ),
inference(clausify,[status(thm)],[p8_23]) ).
cnf(c_32,plain,
( ~ p2(B,A)
| p2(A,B) ),
inference(resolve,[status(thm)],[c_15,c_4]) ).
cnf(c_33,plain,
( ~ p9(c12,A)
| p8(c12,A,c15) ),
inference(resolve,[status(thm)],[c_16,c_5]) ).
cnf(c_54,plain,
p2(f3(c15),c14),
inference(resolve,[status(thm)],[c_32,c_7]) ).
cnf(c_82,plain,
( ~ p8(C,B,A)
| ~ p7(C,c12)
| ~ p4(B,c13)
| ~ p2(A,c14) ),
inference(resolve,[status(thm)],[c_23,c_8]) ).
cnf(c_83,plain,
( ~ p8(B,A,f3(c15))
| ~ p7(B,c12)
| ~ p4(A,c13) ),
inference(resolve,[status(thm)],[c_82,c_54]) ).
cnf(c_84,plain,
( ~ p8(A,c13,f3(c15))
| ~ p7(A,c12) ),
inference(resolve,[status(thm)],[c_83,c_3]) ).
cnf(c_57,plain,
~ p8(c12,c13,f3(c15)),
inference(resolve,[status(thm)],[c_84,c_2]) ).
cnf(c_85,plain,
( ~ p8(c12,f6(c15),c15)
| ~ p9(c12,c13) ),
inference(resolve,[status(thm)],[c_22,c_57]) ).
cnf(c_66,plain,
~ p8(c12,f6(c15),c15),
inference(resolve,[status(thm)],[c_85,c_6]) ).
cnf(c_79,plain,
~ p9(c12,f6(c15)),
inference(resolve,[status(thm)],[c_33,c_66]) ).
cnf(c_86,plain,
( ~ p9(c12,A)
| p8(c12,A,f3(c15)) ),
inference(resolve,[status(thm)],[c_18,c_79]) ).
cnf(c_87,plain,
~ p9(c12,c13),
inference(resolve,[status(thm)],[c_86,c_57]) ).
cnf(c_81,plain,
$false,
inference(resolve,[status(thm)],[c_6,c_87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN580-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 18:14:29 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 818978 was started by sandbox on n009,
% 0.09/0.36 % Sat Sep 26 18:14:29 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 0.14/0.38
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38
% 0.14/0.38 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.14/0.38 % Length of proof is 19.
% 0.14/0.38 % Level of proof is 6.
% 0.14/0.38 % Maximum clause weight is 17.000.
% 0.14/0.38 % Given clauses 49.
% 0.14/0.38
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------