%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MSC015-1.005 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 08:04:28 AM UTC 2026
% Result : Unsatisfiable 0.09s 5.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 36 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 39 ( 29 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(init,axiom,
p(s0,s0,s0,s0,s0),
file('theBenchmark.p',init) ).
cnf(c_1,plain,
p(s0,s0,s0,s0,s0),
inference(clausify,[status(thm)],[init]) ).
fof(rule1,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( p(VAR_0,VAR_1,VAR_2,VAR_3,s1)
| ~ p(VAR_0,VAR_1,VAR_2,VAR_3,s0) ),
file('theBenchmark.p',rule1) ).
cnf(c_2,plain,
( p(A,B,C,D,s1)
| ~ p(A,B,C,D,s0) ),
inference(clausify,[status(thm)],[rule1]) ).
fof(rule2,axiom,
! [VAR_0,VAR_1,VAR_2] :
( p(VAR_0,VAR_1,VAR_2,s1,s0)
| ~ p(VAR_0,VAR_1,VAR_2,s0,s1) ),
file('theBenchmark.p',rule2) ).
cnf(c_3,plain,
( p(A,B,C,s1,s0)
| ~ p(A,B,C,s0,s1) ),
inference(clausify,[status(thm)],[rule2]) ).
fof(rule3,axiom,
! [VAR_0,VAR_1] :
( p(VAR_0,VAR_1,s1,s0,s0)
| ~ p(VAR_0,VAR_1,s0,s1,s1) ),
file('theBenchmark.p',rule3) ).
cnf(c_4,plain,
( p(A,B,s1,s0,s0)
| ~ p(A,B,s0,s1,s1) ),
inference(clausify,[status(thm)],[rule3]) ).
fof(rule4,axiom,
! [VAR_0] :
( p(VAR_0,s1,s0,s0,s0)
| ~ p(VAR_0,s0,s1,s1,s1) ),
file('theBenchmark.p',rule4) ).
cnf(c_5,plain,
( p(A,s1,s0,s0,s0)
| ~ p(A,s0,s1,s1,s1) ),
inference(clausify,[status(thm)],[rule4]) ).
fof(rule5,axiom,
( p(s1,s0,s0,s0,s0)
| ~ p(s0,s1,s1,s1,s1) ),
file('theBenchmark.p',rule5) ).
cnf(c_6,plain,
( p(s1,s0,s0,s0,s0)
| ~ p(s0,s1,s1,s1,s1) ),
inference(clausify,[status(thm)],[rule5]) ).
fof(goal,axiom,
~ p(s1,s1,s1,s1,s1),
file('theBenchmark.p',goal) ).
cnf(c_7,plain,
~ p(s1,s1,s1,s1,s1),
inference(clausify,[status(thm)],[goal]) ).
cnf(c_8,plain,
p(s0,s0,s0,s0,s1),
inference(resolve,[status(thm)],[c_2,c_1]) ).
cnf(c_9,plain,
~ p(s1,s1,s1,s1,s0),
inference(resolve,[status(thm)],[c_7,c_2]) ).
cnf(c_10,plain,
p(s0,s0,s0,s1,s0),
inference(resolve,[status(thm)],[c_3,c_8]) ).
cnf(c_11,plain,
~ p(s1,s1,s1,s0,s1),
inference(resolve,[status(thm)],[c_9,c_3]) ).
cnf(c_12,plain,
~ p(s1,s1,s1,s0,s0),
inference(resolve,[status(thm)],[c_11,c_2]) ).
cnf(c_13,plain,
~ p(s1,s1,s0,s1,s1),
inference(resolve,[status(thm)],[c_12,c_4]) ).
cnf(c_14,plain,
~ p(s1,s1,s0,s1,s0),
inference(resolve,[status(thm)],[c_13,c_2]) ).
cnf(c_15,plain,
p(s0,s0,s0,s1,s1),
inference(resolve,[status(thm)],[c_2,c_10]) ).
cnf(c_16,plain,
p(s0,s0,s1,s0,s0),
inference(resolve,[status(thm)],[c_4,c_15]) ).
cnf(c_17,plain,
p(s0,s0,s1,s0,s1),
inference(resolve,[status(thm)],[c_2,c_16]) ).
cnf(c_18,plain,
p(s0,s0,s1,s1,s0),
inference(resolve,[status(thm)],[c_3,c_17]) ).
cnf(c_19,plain,
~ p(s1,s1,s0,s0,s1),
inference(resolve,[status(thm)],[c_14,c_3]) ).
cnf(c_20,plain,
~ p(s1,s1,s0,s0,s0),
inference(resolve,[status(thm)],[c_19,c_2]) ).
cnf(c_21,plain,
~ p(s1,s0,s1,s1,s1),
inference(resolve,[status(thm)],[c_20,c_5]) ).
cnf(c_22,plain,
~ p(s1,s0,s1,s1,s0),
inference(resolve,[status(thm)],[c_21,c_2]) ).
cnf(c_23,plain,
~ p(s1,s0,s1,s0,s1),
inference(resolve,[status(thm)],[c_22,c_3]) ).
cnf(c_24,plain,
p(s0,s0,s1,s1,s1),
inference(resolve,[status(thm)],[c_2,c_18]) ).
cnf(c_25,plain,
p(s0,s1,s0,s0,s0),
inference(resolve,[status(thm)],[c_5,c_24]) ).
cnf(c_26,plain,
p(s0,s1,s0,s0,s1),
inference(resolve,[status(thm)],[c_2,c_25]) ).
cnf(c_27,plain,
p(s0,s1,s0,s1,s0),
inference(resolve,[status(thm)],[c_3,c_26]) ).
cnf(c_28,plain,
~ p(s1,s0,s1,s0,s0),
inference(resolve,[status(thm)],[c_23,c_2]) ).
cnf(c_29,plain,
~ p(s1,s0,s0,s1,s1),
inference(resolve,[status(thm)],[c_28,c_4]) ).
cnf(c_30,plain,
~ p(s1,s0,s0,s1,s0),
inference(resolve,[status(thm)],[c_29,c_2]) ).
cnf(c_31,plain,
~ p(s1,s0,s0,s0,s1),
inference(resolve,[status(thm)],[c_30,c_3]) ).
cnf(c_32,plain,
~ p(s1,s0,s0,s0,s0),
inference(resolve,[status(thm)],[c_31,c_2]) ).
cnf(c_33,plain,
p(s0,s1,s0,s1,s1),
inference(resolve,[status(thm)],[c_2,c_27]) ).
cnf(c_34,plain,
p(s0,s1,s1,s0,s0),
inference(resolve,[status(thm)],[c_4,c_33]) ).
cnf(c_35,plain,
p(s0,s1,s1,s0,s1),
inference(resolve,[status(thm)],[c_2,c_34]) ).
cnf(c_36,plain,
p(s0,s1,s1,s1,s0),
inference(resolve,[status(thm)],[c_3,c_35]) ).
cnf(c_37,plain,
~ p(s0,s1,s1,s1,s1),
inference(resolve,[status(thm)],[c_32,c_6]) ).
cnf(c_38,plain,
~ p(s0,s1,s1,s1,s0),
inference(resolve,[status(thm)],[c_37,c_2]) ).
cnf(c_39,plain,
$false,
inference(resolve,[status(thm)],[c_38,c_36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC015-1.005 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n011.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sat Sep 26 00:16:19 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.36 % Process 3248358 was started by sandbox2 on n011,
% 0.09/5.36 % Sat Sep 26 00:16:19 2026
% 0.09/5.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/5.37
% 0.09/5.37 % From the command line: assign(max_seconds, 300).
% 0.09/5.38
% 0.09/5.38 % SZS status Unsatisfiable for theBenchmark
% 0.09/5.38
% 0.09/5.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/5.38 % Length of proof is 39.
% 0.09/5.38 % Level of proof is 18.
% 0.09/5.38 % Maximum clause weight is 12.000.
% 0.09/5.38 % Given clauses 36.
% 0.09/5.38
% 0.09/5.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------