%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN203-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 09:37:17 AM UTC 2026
% Result : Unsatisfiable 0.67s 0.51s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 43 ( 19 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 111 ( 60 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 56 ( 15 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_15,axiom,
n0(a,b),
file('theBenchmark.p',axiom_15) ).
cnf(c_6,plain,
n0(a,b),
inference(clausify,[status(thm)],[axiom_15]) ).
fof(rule_002,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| l1(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_002) ).
cnf(c_10,plain,
( ~ n0(B,A)
| l1(A,A) ),
inference(clausify,[status(thm)],[rule_002]) ).
fof(rule_066,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| p1(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_066) ).
cnf(c_17,plain,
( ~ n0(B,A)
| p1(A,A,A) ),
inference(clausify,[status(thm)],[rule_066]) ).
fof(rule_189,axiom,
! [VAR_0] :
( ~ s1(b)
| ~ q2(b,VAR_0,b)
| s2(VAR_0) ),
file('theBenchmark.p',rule_189) ).
cnf(c_78,plain,
( ~ s1(b)
| ~ q2(b,A,b)
| s2(A) ),
inference(clausify,[status(thm)],[rule_189]) ).
fof(rule_273,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ m0(VAR_2,VAR_3,VAR_1)
| ~ s2(VAR_0)
| ~ q2(VAR_2,VAR_0,VAR_2)
| s3(VAR_0,VAR_1) ),
file('theBenchmark.p',rule_273) ).
cnf(c_90,plain,
( ~ m0(C,D,B)
| ~ s2(A)
| ~ q2(C,A,C)
| s3(A,B) ),
inference(clausify,[status(thm)],[rule_273]) ).
fof(prove_this,axiom,
! [VAR_0] : ~ s3(VAR_0,b),
file('theBenchmark.p',prove_this) ).
cnf(c_100,plain,
~ s3(A,b),
inference(clausify,[status(thm)],[prove_this]) ).
cnf(c_103,plain,
( ~ s1(b)
| ~ q2(b,A,b)
| ~ m0(C,D,B)
| ~ q2(C,A,C)
| s3(A,B) ),
inference(resolve,[status(thm)],[c_90,c_78]) ).
cnf(c_140,plain,
( ~ s1(b)
| ~ q2(b,B,b)
| ~ m0(A,C,b)
| ~ q2(A,B,A) ),
inference(resolve,[status(thm)],[c_103,c_100]) ).
cnf(c_238,plain,
p1(b,b,b),
inference(resolve,[status(thm)],[c_17,c_6]) ).
cnf(c_258,plain,
l1(b,b),
inference(resolve,[status(thm)],[c_10,c_6]) ).
fof(rule_186,axiom,
! [VAR_0,VAR_1] :
( ~ l1(VAR_1,VAR_0)
| q2(VAR_0,VAR_0,VAR_1) ),
file('theBenchmark.p',rule_186) ).
cnf(c_328,plain,
( ~ l1(B,A)
| q2(A,A,B) ),
inference(clausify,[status(thm)],[rule_186]) ).
fof(rule_182,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ q2(VAR_1,VAR_2,VAR_0)
| ~ n1(VAR_1,VAR_0,VAR_2)
| ~ p1(VAR_0,VAR_0,VAR_2)
| q2(VAR_0,VAR_1,VAR_0) ),
file('theBenchmark.p',rule_182) ).
cnf(c_332,plain,
( ~ q2(B,C,A)
| ~ n1(B,A,C)
| ~ p1(A,A,C)
| q2(A,B,A) ),
inference(clausify,[status(thm)],[rule_182]) ).
fof(rule_125,axiom,
! [VAR_0] :
( ~ p0(VAR_0,VAR_0)
| s1(VAR_0) ),
file('theBenchmark.p',rule_125) ).
cnf(c_380,plain,
( ~ p0(A,A)
| s1(A) ),
inference(clausify,[status(thm)],[rule_125]) ).
fof(rule_061,axiom,
! [VAR_0] :
( ~ s0(VAR_0)
| ~ k0(VAR_0)
| n1(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_061) ).
cnf(c_425,plain,
( ~ s0(A)
| ~ k0(A)
| n1(A,A,A) ),
inference(clausify,[status(thm)],[rule_061]) ).
fof(axiom_32,axiom,
k0(b),
file('theBenchmark.p',axiom_32) ).
cnf(c_477,plain,
k0(b),
inference(clausify,[status(thm)],[axiom_32]) ).
fof(axiom_19,axiom,
! [VAR_0,VAR_1] : m0(VAR_0,d,VAR_1),
file('theBenchmark.p',axiom_19) ).
cnf(c_488,plain,
m0(A,d,B),
inference(clausify,[status(thm)],[axiom_19]) ).
fof(axiom_14,axiom,
! [VAR_0] : p0(b,VAR_0),
file('theBenchmark.p',axiom_14) ).
cnf(c_492,plain,
p0(b,A),
inference(clausify,[status(thm)],[axiom_14]) ).
fof(axiom_5,axiom,
s0(b),
file('theBenchmark.p',axiom_5) ).
cnf(c_497,plain,
s0(b),
inference(clausify,[status(thm)],[axiom_5]) ).
cnf(c_686,plain,
q2(b,b,b),
inference(resolve,[status(thm)],[c_328,c_258]) ).
cnf(c_694,plain,
( ~ s1(b)
| ~ m0(C,D,b)
| ~ q2(C,B,C)
| ~ q2(B,A,b)
| ~ n1(B,b,A)
| ~ p1(b,b,A) ),
inference(resolve,[status(thm)],[c_332,c_140]) ).
cnf(c_876,plain,
( ~ s1(b)
| ~ m0(b,A,b)
| ~ q2(b,b,b)
| ~ n1(b,b,b)
| ~ p1(b,b,b) ),
inference(factor,[status(thm)],[c_694]) ).
cnf(c_877,plain,
( ~ s1(b)
| ~ m0(b,A,b)
| ~ q2(b,b,b)
| ~ n1(b,b,b) ),
inference(resolve,[status(thm)],[c_238,c_876]) ).
cnf(c_696,plain,
( ~ s1(b)
| ~ m0(b,A,b)
| ~ n1(b,b,b) ),
inference(resolve,[status(thm)],[c_686,c_877]) ).
cnf(c_878,plain,
( ~ s0(b)
| n1(b,b,b) ),
inference(resolve,[status(thm)],[c_477,c_425]) ).
cnf(c_747,plain,
n1(b,b,b),
inference(resolve,[status(thm)],[c_497,c_878]) ).
cnf(c_755,plain,
( ~ s1(b)
| ~ m0(b,A,b) ),
inference(resolve,[status(thm)],[c_747,c_696]) ).
cnf(c_857,plain,
s1(b),
inference(resolve,[status(thm)],[c_492,c_380]) ).
cnf(c_874,plain,
~ m0(b,A,b),
inference(resolve,[status(thm)],[c_857,c_755]) ).
cnf(c_875,plain,
$false,
inference(resolve,[status(thm)],[c_874,c_488]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN203-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 17:21:02 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 2635792 was started by sandbox on n005,
% 0.08/0.36 % Sat Sep 26 17:21:02 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.37
% 0.08/0.37 % From the command line: assign(max_seconds, 300).
% 0.67/0.51
% 0.67/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.67/0.51
% 0.67/0.51 % Proof 1 at 0.11 (+ 0.01) seconds.
% 0.67/0.51 % Length of proof is 26.
% 0.67/0.51 % Level of proof is 7.
% 0.67/0.51 % Maximum clause weight is 27.000.
% 0.67/0.51 % Given clauses 254.
% 0.67/0.51
% 0.67/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------