%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ037-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 : Fri Sep 25 02:32:48 PM UTC 2026
% Result : Unsatisfiable 9.02s 1.71s
% Output : CNFRefutation 9.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 27 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 432 ( 0 sgn 432 !; 0 ?; 216 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ 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('/export/starexec/sandbox/benchmark/theBenchmark.p',make_like_this) ).
fof(f2,axiom,
state(b,r,r,w,w,w,y,b,b,g,y,r,b,g,g,o,g,y,w,w,r,g,o,r,b,g,g,o,r,b,y,y,r,g,o,g,o,o,o,y,r,b,y,y,r,w,w,w,b,b,y,w,o,o),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_with_this) ).
fof(f7,axiom,
! [X2,X21,X28,X39,X46,X49,X6,X9,X16,X27,X34,X53,X13,X20,X31,X38,X41,X48,X1,X8,X19,X26,X45,X52,X5,X12,X23,X30,X33,X40,X51,X0,X11,X18,X37,X44,X4,X15,X22,X25,X32,X43,X50,X3,X10,X29,X36,X47,X7,X14,X17,X24,X35,X42] :
( state(X0,X1,X2,X16,X28,X40,X6,X7,X8,X9,X5,X11,X12,X13,X14,X15,X50,X17,X18,X19,X20,X21,X4,X23,X24,X25,X26,X27,X49,X29,X30,X31,X32,X33,X3,X35,X36,X37,X38,X39,X48,X41,X42,X43,X44,X45,X46,X47,X10,X22,X34,X51,X52,X53)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mzy) ).
fof(f8,axiom,
! [X2,X21,X28,X39,X46,X49,X6,X9,X16,X27,X34,X53,X13,X20,X31,X38,X41,X48,X1,X8,X19,X26,X45,X52,X5,X12,X23,X30,X33,X40,X51,X0,X11,X18,X37,X44,X4,X15,X22,X25,X32,X43,X50,X3,X10,X29,X36,X47,X7,X14,X17,X24,X35,X42] :
( state(X17,X29,X41,X3,X4,X5,X6,X7,X8,X2,X10,X11,X12,X13,X14,X15,X16,X53,X42,X30,X18,X1,X22,X23,X24,X25,X26,X27,X28,X52,X43,X31,X19,X0,X34,X35,X36,X37,X38,X39,X40,X51,X44,X32,X20,X45,X46,X47,X48,X49,X50,X9,X21,X33)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bzy) ).
fof(f9,axiom,
! [X2,X21,X28,X39,X46,X49,X6,X9,X16,X27,X34,X53,X13,X20,X31,X38,X41,X48,X1,X8,X19,X26,X45,X52,X5,X12,X23,X30,X33,X40,X51,X0,X11,X18,X37,X44,X4,X15,X22,X25,X32,X43,X50,X3,X10,X29,X36,X47,X7,X14,X17,X24,X35,X42] :
( state(X12,X1,X2,X24,X4,X5,X36,X7,X8,X11,X23,X35,X45,X13,X14,X15,X16,X17,X18,X19,X6,X10,X22,X34,X48,X25,X26,X27,X28,X29,X30,X31,X3,X9,X21,X33,X51,X37,X38,X39,X40,X41,X42,X43,X0,X44,X46,X47,X32,X49,X50,X20,X52,X53)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lzx) ).
fof(f14,axiom,
! [X2,X21,X28,X39,X46,X49,X6,X9,X16,X27,X34,X53,X13,X20,X31,X38,X41,X48,X1,X8,X19,X26,X45,X52,X5,X12,X23,X30,X33,X40,X51,X0,X11,X18,X37,X44,X4,X15,X22,X25,X32,X43,X50,X3,X10,X29,X36,X47,X7,X14,X17,X24,X35,X42] :
( state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X42,X43,X44,X33,X34,X35,X36,X37,X38,X39,X40,X41,X51,X48,X45,X52,X49,X46,X53,X50,X47)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',byx) ).
tcf(c_69,negated_conjecture,
~ 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(cnf_transformation,[],[f1]) ).
tcf(c_70,plain,
state(b,r,r,w,w,w,y,b,b,g,y,r,b,g,g,o,g,y,w,w,r,g,o,r,b,g,g,o,r,b,y,y,r,g,o,g,o,o,o,y,r,b,y,y,r,w,w,w,b,b,y,w,o,o),
inference(cnf_transformation,[],[f2]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i,X40: $i,X41: $i,X42: $i,X43: $i,X44: $i,X45: $i,X46: $i,X47: $i,X48: $i,X49: $i,X50: $i,X51: $i,X52: $i,X53: $i] :
( state(X0,X1,X2,X16,X28,X40,X6,X7,X8,X9,X5,X11,X12,X13,X14,X15,X50,X17,X18,X19,X20,X21,X4,X23,X24,X25,X26,X27,X49,X29,X30,X31,X32,X33,X3,X35,X36,X37,X38,X39,X48,X41,X42,X43,X44,X45,X46,X47,X10,X22,X34,X51,X52,X53)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i,X40: $i,X41: $i,X42: $i,X43: $i,X44: $i,X45: $i,X46: $i,X47: $i,X48: $i,X49: $i,X50: $i,X51: $i,X52: $i,X53: $i] :
( state(X17,X29,X41,X3,X4,X5,X6,X7,X8,X2,X10,X11,X12,X13,X14,X15,X16,X53,X42,X30,X18,X1,X22,X23,X24,X25,X26,X27,X28,X52,X43,X31,X19,X0,X34,X35,X36,X37,X38,X39,X40,X51,X44,X32,X20,X45,X46,X47,X48,X49,X50,X9,X21,X33)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i,X40: $i,X41: $i,X42: $i,X43: $i,X44: $i,X45: $i,X46: $i,X47: $i,X48: $i,X49: $i,X50: $i,X51: $i,X52: $i,X53: $i] :
( state(X12,X1,X2,X24,X4,X5,X36,X7,X8,X11,X23,X35,X45,X13,X14,X15,X16,X17,X18,X19,X6,X10,X22,X34,X48,X25,X26,X27,X28,X29,X30,X31,X3,X9,X21,X33,X51,X37,X38,X39,X40,X41,X42,X43,X0,X44,X46,X47,X32,X49,X50,X20,X52,X53)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i,X40: $i,X41: $i,X42: $i,X43: $i,X44: $i,X45: $i,X46: $i,X47: $i,X48: $i,X49: $i,X50: $i,X51: $i,X52: $i,X53: $i] :
( state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X42,X43,X44,X33,X34,X35,X36,X37,X38,X39,X40,X41,X51,X48,X45,X52,X49,X46,X53,X50,X47)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_93,plain,
( state(b,r,r,g,r,r,y,b,b,g,w,r,b,g,g,o,y,y,w,w,r,g,w,r,b,g,g,o,b,b,y,y,r,g,w,g,o,o,o,y,b,b,y,y,r,w,w,w,y,o,o,w,o,o)
| ~ state(b,r,r,w,w,w,y,b,b,g,y,r,b,g,g,o,g,y,w,w,r,g,o,r,b,g,g,o,r,b,y,y,r,g,o,g,o,o,o,y,r,b,y,y,r,w,w,w,b,b,y,w,o,o) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_191,plain,
( state(y,b,b,g,r,r,y,b,b,r,w,r,b,g,g,o,y,o,y,y,w,r,w,r,b,g,g,o,b,o,y,y,w,b,w,g,o,o,o,y,b,w,r,r,r,w,w,w,y,o,o,g,g,g)
| ~ state(b,r,r,g,r,r,y,b,b,g,w,r,b,g,g,o,y,y,w,w,r,g,w,r,b,g,g,o,b,b,y,y,r,g,w,g,o,o,o,y,b,b,y,y,r,w,w,w,y,o,o,w,o,o) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_617,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)
| ~ state(y,b,b,y,b,b,y,b,b,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,g,w,w,g,w,w,g,w,w) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_748,plain,
( state(y,b,b,y,b,b,y,b,b,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,g,w,w,g,w,w,g,w,w)
| ~ state(y,b,b,y,b,b,y,b,b,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,b,g,g,o,o,o,y,y,w,r,r,r,w,w,w,w,w,w,g,g,g) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_3514,plain,
( state(y,b,b,y,b,b,y,b,b,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,b,g,g,o,o,o,y,y,w,r,r,r,w,w,w,w,w,w,g,g,g)
| ~ state(y,b,b,g,r,r,y,b,b,r,w,r,b,g,g,o,y,o,y,y,w,r,w,r,b,g,g,o,b,o,y,y,w,b,w,g,o,o,o,y,b,w,r,r,r,w,w,w,y,o,o,g,g,g) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_3515,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3514,c_748,c_617,c_191,c_93,c_69,c_70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ037-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 06:45:43 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running EPR theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 9.02/1.71 % SZS status Started for theBenchmark.p
% 9.02/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 9.02/1.71
% 9.02/1.71 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.02/1.71
% 9.02/1.71 % ------ iProver source info
% 9.02/1.71
% 9.02/1.71 % git: date: 2026-07-19 20:42:38 +0200
% 9.02/1.71 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.02/1.71 % git: non_committed_changes: false
% 9.02/1.71
% 9.02/1.71 % ------ Parsing...% successful
% 9.02/1.71
% 9.02/1.71
% 9.02/1.71 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 9.02/1.71 % ------ Proving...
% 9.02/1.71 % ------ Problem Properties
% 9.02/1.71
% 9.02/1.71 %
% 9.02/1.71 % clauses 20
% 9.02/1.71 % conjectures 1
% 9.02/1.71 % EPR 20
% 9.02/1.71 % Horn 20
% 9.02/1.71 % unary 2
% 9.02/1.71 % binary 18
% 9.02/1.71 % lits 38
% 9.02/1.71 % lits eq 0
% 9.02/1.71 % fd_pure 0
% 9.02/1.71 % fd_pseudo 0
% 9.02/1.71 % fd_cond 0
% 9.02/1.71 % fd_pseudo_cond 0
% 9.02/1.71 % AC symbols 0
% 9.02/1.71
% 9.02/1.71 % ------ Input Options Time Limit: Unbounded
% 9.02/1.71
% 9.02/1.71
% 9.02/1.71 % ------
% 9.02/1.71 % Current options:
% 9.02/1.71 % ------
% 9.02/1.71
% 9.02/1.71
% 9.02/1.71 %
% 9.02/1.71
% 9.02/1.71 % ------ Proving...
% 9.02/1.71 %
% 9.02/1.71
% 9.02/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 9.02/1.71
% 9.02/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.02/1.71
% 9.02/1.71
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