%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ037-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 08:23:11 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-54 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 108 ( 0 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(make_like_this,axiom,
~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
file('theBenchmark.p',make_like_this) ).
cnf(c_1,plain,
~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
inference(clausify,[status(thm)],[make_like_this]) ).
fof(start_with_this,axiom,
state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,g,g,g,o,o,o,y,y,y,r,r,r,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
file('theBenchmark.p',start_with_this) ).
cnf(c_2,plain,
state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,g,g,g,o,o,o,y,y,y,r,r,r,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
inference(clausify,[status(thm)],[start_with_this]) ).
fof(myx,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9,VAR_10,VAR_11,VAR_12,VAR_13,VAR_14,VAR_15,VAR_16,VAR_17,VAR_18,VAR_19,VAR_20,VAR_21,VAR_22,VAR_23,VAR_24,VAR_25,VAR_26,VAR_27,VAR_28,VAR_29,VAR_30,VAR_31,VAR_32,VAR_33,VAR_34,VAR_35,VAR_36,VAR_37,VAR_38,VAR_39,VAR_40,VAR_41,VAR_42,VAR_43,VAR_44,VAR_45,VAR_46,VAR_47,VAR_48,VAR_49,VAR_50,VAR_51,VAR_52,VAR_53] :
( state(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9,VAR_10,VAR_11,VAR_12,VAR_13,VAR_14,VAR_15,VAR_16,VAR_17,VAR_18,VAR_19,VAR_20,VAR_30,VAR_31,VAR_32,VAR_21,VAR_22,VAR_23,VAR_24,VAR_25,VAR_26,VAR_27,VAR_28,VAR_29,VAR_33,VAR_34,VAR_35,VAR_36,VAR_37,VAR_38,VAR_39,VAR_40,VAR_41,VAR_42,VAR_43,VAR_44,VAR_45,VAR_46,VAR_47,VAR_48,VAR_49,VAR_50,VAR_51,VAR_52,VAR_53)
| ~ state(VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9,VAR_10,VAR_11,VAR_12,VAR_13,VAR_14,VAR_15,VAR_16,VAR_17,VAR_18,VAR_19,VAR_20,VAR_21,VAR_22,VAR_23,VAR_24,VAR_25,VAR_26,VAR_27,VAR_28,VAR_29,VAR_30,VAR_31,VAR_32,VAR_33,VAR_34,VAR_35,VAR_36,VAR_37,VAR_38,VAR_39,VAR_40,VAR_41,VAR_42,VAR_43,VAR_44,VAR_45,VAR_46,VAR_47,VAR_48,VAR_49,VAR_50,VAR_51,VAR_52,VAR_53) ),
file('theBenchmark.p',myx) ).
cnf(c_13,plain,
( state(A,B,C,D,E,F,V6,V7,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V19,V20,V30,V31,V32,V21,V22,V23,V24,V25,V26,V27,V28,V29,V33,V34,V35,V36,V37,V38,V39,V40,V41,V42,V43,V44,V45,V46,V47,V48,V49,V50,V51,V52,V53)
| ~ state(A,B,C,D,E,F,V6,V7,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V19,V20,V21,V22,V23,V24,V25,V26,V27,V28,V29,V30,V31,V32,V33,V34,V35,V36,V37,V38,V39,V40,V41,V42,V43,V44,V45,V46,V47,V48,V49,V50,V51,V52,V53) ),
inference(clausify,[status(thm)],[myx]) ).
cnf(c_41,plain,
~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,g,g,g,o,o,o,y,y,y,r,r,r,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
inference(resolve,[status(thm)],[c_13,c_1]) ).
cnf(c_42,plain,
$false,
inference(resolve,[status(thm)],[c_41,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ037-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.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
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 05:06:36 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 874446 was started by sandbox on n004,
% 0.10/0.37 % Sat Sep 26 05:06:36 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.37
% 0.10/0.37 % From the command line: assign(max_seconds, 300).
% 0.10/0.38
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.38
% 0.10/0.38 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.10/0.38 % Length of proof is 5.
% 0.10/0.38 % Level of proof is 2.
% 0.10/0.38 % Maximum clause weight is 110.000.
% 0.10/0.38 % Given clauses 13.
% 0.10/0.38
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------