%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN176-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 09:37:13 AM UTC 2026
% Result : Unsatisfiable 0.75s 0.54s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 15 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 27 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 28 ( 4 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rule_001,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| k1(VAR_0) ),
file('theBenchmark.p',rule_001) ).
cnf(c_1,plain,
( ~ n0(B,A)
| k1(A) ),
inference(clausify,[status(thm)],[rule_001]) ).
fof(axiom_30,axiom,
n0(e,e),
file('theBenchmark.p',axiom_30) ).
cnf(c_4,plain,
n0(e,e),
inference(clausify,[status(thm)],[axiom_30]) ).
cnf(c_261,plain,
k1(e),
inference(resolve,[status(thm)],[c_1,c_4]) ).
fof(prove_this,axiom,
! [VAR_0] : ~ q2(e,c,VAR_0),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ q2(e,c,A),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_183,axiom,
! [VAR_0,VAR_1] :
( ~ l2(VAR_1,VAR_0)
| ~ l0(c)
| ~ k1(VAR_1)
| q2(VAR_0,c,VAR_1) ),
file('theBenchmark.p',rule_183) ).
cnf(c_328,plain,
( ~ l2(B,A)
| ~ l0(c)
| ~ k1(B)
| q2(A,c,B) ),
inference(clausify,[status(thm)],[rule_183]) ).
fof(rule_133,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ m0(VAR_3,VAR_2,VAR_0)
| ~ s1(VAR_2)
| ~ p0(VAR_1,VAR_1)
| l2(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_133) ).
cnf(c_370,plain,
( ~ m0(D,C,A)
| ~ s1(C)
| ~ p0(B,B)
| l2(A,A) ),
inference(clausify,[status(thm)],[rule_133]) ).
fof(rule_125,axiom,
! [VAR_0] :
( ~ p0(VAR_0,VAR_0)
| s1(VAR_0) ),
file('theBenchmark.p',rule_125) ).
cnf(c_377,plain,
( ~ p0(A,A)
| s1(A) ),
inference(clausify,[status(thm)],[rule_125]) ).
fof(axiom_31,axiom,
m0(b,b,e),
file('theBenchmark.p',axiom_31) ).
cnf(c_475,plain,
m0(b,b,e),
inference(clausify,[status(thm)],[axiom_31]) ).
fof(axiom_24,axiom,
l0(c),
file('theBenchmark.p',axiom_24) ).
cnf(c_480,plain,
l0(c),
inference(clausify,[status(thm)],[axiom_24]) ).
fof(axiom_14,axiom,
! [VAR_0] : p0(b,VAR_0),
file('theBenchmark.p',axiom_14) ).
cnf(c_489,plain,
p0(b,A),
inference(clausify,[status(thm)],[axiom_14]) ).
cnf(c_604,plain,
( ~ l2(B,A)
| ~ k1(B)
| q2(A,c,B) ),
inference(resolve,[status(thm)],[c_480,c_328]) ).
cnf(c_742,plain,
( ~ s1(b)
| ~ p0(A,A)
| l2(e,e) ),
inference(resolve,[status(thm)],[c_475,c_370]) ).
cnf(c_835,plain,
s1(b),
inference(resolve,[status(thm)],[c_489,c_377]) ).
cnf(c_850,plain,
( ~ p0(A,A)
| l2(e,e) ),
inference(resolve,[status(thm)],[c_835,c_742]) ).
cnf(c_887,plain,
( ~ l2(A,e)
| ~ k1(A) ),
inference(resolve,[status(thm)],[c_604,c_264]) ).
cnf(c_882,plain,
~ l2(e,e),
inference(resolve,[status(thm)],[c_887,c_261]) ).
cnf(c_885,plain,
~ p0(A,A),
inference(resolve,[status(thm)],[c_882,c_850]) ).
cnf(c_886,plain,
$false,
inference(resolve,[status(thm)],[c_885,c_489]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN176-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 17:24:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 2321832 was started by sandbox2 on n001,
% 0.10/0.37 % Sat Sep 26 17:24:28 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.38
% 0.10/0.38 % From the command line: assign(max_seconds, 300).
% 0.75/0.54
% 0.75/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.75/0.54
% 0.75/0.54 % Proof 1 at 0.14 (+ 0.01) seconds.
% 0.75/0.54 % Length of proof is 17.
% 0.75/0.54 % Level of proof is 4.
% 0.75/0.54 % Maximum clause weight is 17.000.
% 0.75/0.54 % Given clauses 292.
% 0.75/0.54
% 0.75/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------