%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ037-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n006.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 1.95s 1.20s
% Output : CNFRefutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 5 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 16 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 : 108 ( 0 sgn 108 !; 0 ?; 54 :)
% 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/sandbox2/benchmark/theBenchmark.p',make_like_this) ).
fof(f2,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_with_this) ).
fof(f13,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,X30,X31,X32,X21,X22,X23,X24,X25,X26,X27,X28,X29,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,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/sandbox2/benchmark/theBenchmark.p',myx) ).
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,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(cnf_transformation,[],[f2]) ).
tcf(c_78,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,X30,X31,X32,X21,X22,X23,X24,X25,X26,X27,X28,X29,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,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,[],[f13]) ).
tcf(c_194,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(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(instantiation,[status(thm)],[c_78]) ).
tcf(c_195,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_194,c_69,c_70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ037-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.34 % Computer : n006.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Thu Sep 24 06:44:56 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.38 Running EPR theorem proving
% 0.13/0.38 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39
% 0.13/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.39
% 0.13/0.39 % Detected problem language: tptp
% 0.13/0.40 % Proving...
% 1.95/1.20 % SZS status Started for theBenchmark.p
% 1.95/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 1.95/1.20
% 1.95/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.95/1.20
% 1.95/1.20 % ------ iProver source info
% 1.95/1.20
% 1.95/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 1.95/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.95/1.20 % git: non_committed_changes: false
% 1.95/1.20
% 1.95/1.20 % ------ Parsing...% successful
% 1.95/1.20
% 1.95/1.20
% 1.95/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.95/1.20 %
% 1.95/1.20
% 1.95/1.20 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 1.95/1.20
% 1.95/1.20 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.95/1.20 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.95/1.20 % ------ Proving...
% 1.95/1.20 % ------ Problem Properties
% 1.95/1.20
% 1.95/1.20 %
% 1.95/1.20 % clauses 20
% 1.95/1.20 % conjectures 1
% 1.95/1.20 % EPR 20
% 1.95/1.20 % Horn 20
% 1.95/1.20 % unary 2
% 1.95/1.20 % binary 18
% 1.95/1.20 % lits 38
% 1.95/1.20 % lits eq 0
% 1.95/1.20 % fd_pure 0
% 1.95/1.20 % fd_pseudo 0
% 1.95/1.20 % fd_cond 0
% 1.95/1.20 % fd_pseudo_cond 0
% 1.95/1.20 % AC symbols 0
% 1.95/1.20
% 1.95/1.20 % ------ Schedule EPR Horn non eq is on
% 1.95/1.20
% 1.95/1.20 % ------ no equalities: superposition off
% 1.95/1.20
% 1.95/1.20 % ------ Option_epr_horn Time Limit: Unbounded
% 1.95/1.20
% 1.95/1.20
% 1.95/1.20 % ------
% 1.95/1.20 % Current options:
% 1.95/1.20 % ------
% 1.95/1.20
% 1.95/1.20
% 1.95/1.20 %
% 1.95/1.20
% 1.95/1.20 % ------ Proving...
% 1.95/1.20 %
% 1.95/1.20
% 1.95/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 1.95/1.20
% 1.95/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.95/1.20
% 1.95/1.20
%------------------------------------------------------------------------------