%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ056-2.005 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 02:32:51 PM UTC 2026
% Result : Unsatisfiable 3.33s 1.22s
% Output : CNFRefutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 13
% Syntax : Number of formulae : 126 ( 53 unt; 0 def)
% Number of atoms : 343 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 444 ( 227 ~; 217 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 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 : 3 ( 2 usr; 1 prp; 0-5 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 213 ( 0 sgn 213 !; 0 ?; 183 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( p(X5,X1,X2,X3,X4)
| ~ p(X0,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( p(X0,X5,X2,X3,X4)
| ~ neq(X0,X5)
| ~ neq(X0,X1)
| ~ p(X0,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X4,X5] :
( p(X0,X1,X5,X3,X4)
| ~ neq(X1,X5)
| ~ neq(X1,X2)
| ~ neq(X0,X5)
| ~ neq(X0,X2)
| ~ p(X0,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4,X5] :
( p(X0,X1,X2,X5,X4)
| ~ neq(X2,X5)
| ~ neq(X2,X3)
| ~ neq(X1,X5)
| ~ neq(X1,X3)
| ~ neq(X0,X5)
| ~ neq(X0,X3)
| ~ p(X0,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4,X5] :
( p(X0,X1,X2,X3,X5)
| ~ neq(X3,X5)
| ~ neq(X3,X4)
| ~ neq(X2,X5)
| ~ neq(X2,X4)
| ~ neq(X1,X5)
| ~ neq(X1,X4)
| ~ neq(X0,X5)
| ~ neq(X0,X4)
| ~ p(X0,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5) ).
fof(f7,axiom,
neq(s0,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq2) ).
fof(f8,axiom,
neq(s0,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq3) ).
fof(f9,axiom,
neq(s1,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq4) ).
fof(f11,axiom,
neq(s1,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq6) ).
fof(f12,axiom,
neq(s2,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq7) ).
fof(f13,axiom,
neq(s2,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq8) ).
fof(f15,axiom,
p(s0,s0,s0,s0,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).
fof(f16,negated_conjecture,
~ p(s2,s2,s2,s2,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
tcf(c_65,negated_conjecture,
~ p(s2,s2,s2,s2,s2),
inference(cnf_transformation,[],[f16]) ).
tcf(c_66,plain,
p(s0,s0,s0,s0,s0),
inference(cnf_transformation,[],[f15]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p(X0,X1,X2,X3,X5)
| ~ neq(X3,X5)
| ~ neq(X3,X4)
| ~ neq(X2,X5)
| ~ neq(X2,X4)
| ~ neq(X1,X5)
| ~ neq(X1,X4)
| ~ neq(X0,X5)
| ~ neq(X0,X4)
| ~ p(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p(X0,X1,X2,X5,X4)
| ~ neq(X2,X5)
| ~ neq(X2,X3)
| ~ neq(X1,X5)
| ~ neq(X1,X3)
| ~ neq(X0,X5)
| ~ neq(X0,X3)
| ~ p(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p(X0,X1,X5,X3,X4)
| ~ neq(X1,X5)
| ~ neq(X1,X2)
| ~ neq(X0,X5)
| ~ neq(X0,X2)
| ~ p(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p(X0,X5,X2,X3,X4)
| ~ neq(X0,X5)
| ~ neq(X0,X1)
| ~ p(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p(X5,X1,X2,X3,X4)
| ~ p(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_73,plain,
neq(s2,s1),
inference(cnf_transformation,[],[f13]) ).
tcf(c_74,plain,
neq(s2,s0),
inference(cnf_transformation,[],[f12]) ).
tcf(c_75,plain,
neq(s1,s2),
inference(cnf_transformation,[],[f11]) ).
tcf(c_76,plain,
neq(s0,s2),
inference(cnf_transformation,[],[f8]) ).
tcf(c_77,plain,
neq(s1,s0),
inference(cnf_transformation,[],[f9]) ).
tcf(c_78,plain,
neq(s0,s1),
inference(cnf_transformation,[],[f7]) ).
tcf(c_81,plain,
! [X0: $i] : p(X0,s0,s0,s0,s0),
inference(resolution,[status(thm)],[c_71,c_66]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(s0,X3,X0,X1,X2)
| ~ neq(s0,X3)
| ~ p(s0,s2,X0,X1,X2) ),
inference(resolution,[status(thm)],[c_70,c_76]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(s1,X3,X0,X1,X2)
| ~ neq(s1,X3)
| ~ p(s1,s2,X0,X1,X2) ),
inference(resolution,[status(thm)],[c_70,c_75]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(s2,X3,X0,X1,X2)
| ~ neq(s2,X3)
| ~ p(s2,s0,X0,X1,X2) ),
inference(resolution,[status(thm)],[c_70,c_74]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(s2,X3,X0,X1,X2)
| ~ neq(s2,X3)
| ~ p(s2,s1,X0,X1,X2) ),
inference(resolution,[status(thm)],[c_70,c_73]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(s1,X3,X0,X1,X2)
| ~ neq(s1,X3)
| ~ p(s1,s0,X0,X1,X2) ),
inference(resolution,[status(thm)],[c_77,c_70]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(s0,X3,X0,X1,X2)
| ~ neq(s0,X3)
| ~ p(s0,s1,X0,X1,X2) ),
inference(resolution,[status(thm)],[c_78,c_70]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i] :
( p(s0,s1,X0,X1,X2)
| ~ p(s0,s2,X0,X1,X2) ),
inference(resolution,[status(thm)],[c_78,c_83]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(s0,X0,X3,X1,X2)
| ~ neq(s0,X3)
| ~ neq(X0,s2)
| ~ neq(X0,X3)
| ~ p(s0,X0,s2,X1,X2) ),
inference(resolution,[status(thm)],[c_69,c_76]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(s1,X0,X3,X1,X2)
| ~ neq(s1,X3)
| ~ neq(X0,s0)
| ~ neq(X0,X3)
| ~ p(s1,X0,s0,X1,X2) ),
inference(resolution,[status(thm)],[c_69,c_77]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(s2,X0,X3,X1,X2)
| ~ neq(s2,X3)
| ~ neq(X0,s0)
| ~ neq(X0,X3)
| ~ p(s2,X0,s0,X1,X2) ),
inference(resolution,[status(thm)],[c_69,c_74]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(s2,X0,X3,X1,X2)
| ~ neq(s2,X3)
| ~ neq(X0,s1)
| ~ neq(X0,X3)
| ~ p(s2,X0,s1,X1,X2) ),
inference(resolution,[status(thm)],[c_69,c_73]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(s0,X0,X1,X3,X2)
| ~ neq(s0,X3)
| ~ neq(X1,s1)
| ~ neq(X0,s1)
| ~ neq(X1,X3)
| ~ neq(X0,X3)
| ~ p(s0,X0,X1,s1,X2) ),
inference(resolution,[status(thm)],[c_68,c_78]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(s0,X0,X1,X3,X2)
| ~ neq(s0,X3)
| ~ neq(X1,s2)
| ~ neq(X0,s2)
| ~ neq(X1,X3)
| ~ neq(X0,X3)
| ~ p(s0,X0,X1,s2,X2) ),
inference(resolution,[status(thm)],[c_68,c_76]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(s1,X0,X1,X3,X2)
| ~ neq(s1,X3)
| ~ neq(X1,s0)
| ~ neq(X0,s0)
| ~ neq(X1,X3)
| ~ neq(X0,X3)
| ~ p(s1,X0,X1,s0,X2) ),
inference(resolution,[status(thm)],[c_68,c_77]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(s1,X0,X1,X2,X3)
| ~ neq(s1,X3)
| ~ neq(X2,s0)
| ~ neq(X1,s0)
| ~ neq(X0,s0)
| ~ neq(X2,X3)
| ~ neq(X1,X3)
| ~ neq(X0,X3)
| ~ p(s1,X0,X1,X2,s0) ),
inference(resolution,[status(thm)],[c_67,c_77]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i] :
( p(s1,s0,X0,X1,X2)
| ~ p(s1,s2,X0,X1,X2) ),
inference(resolution,[status(thm)],[c_84,c_77]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( p(s2,s1,X0,X1,X2)
| ~ p(s2,s0,X0,X1,X2) ),
inference(resolution,[status(thm)],[c_86,c_73]) ).
tcf(c_118,plain,
p(s2,s1,s0,s0,s0),
inference(resolution,[status(thm)],[c_116,c_81]) ).
tcf(c_119,plain,
! [X0: $i] : p(X0,s1,s0,s0,s0),
inference(resolution,[status(thm)],[c_118,c_71]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i] :
( p(s2,s0,X0,X1,X2)
| ~ p(s2,s1,X0,X1,X2) ),
inference(resolution,[status(thm)],[c_87,c_74]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i] :
( p(s1,s2,X0,X1,X2)
| ~ p(s1,s0,X0,X1,X2) ),
inference(resolution,[status(thm)],[c_90,c_75]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i,X2: $i] :
( p(s0,s2,X0,X1,X2)
| ~ p(s0,s1,X0,X1,X2) ),
inference(resolution,[status(thm)],[c_91,c_76]) ).
tcf(c_141,plain,
! [X0: $i] :
( p(s2,s2,s2,s2,s2)
| ~ p(X0,s2,s2,s2,s2) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i] :
( p(X0,s2,s2,s2,s2)
| ~ neq(X0,s2)
| ~ neq(X0,X1)
| ~ p(X0,X1,s2,s2,s2) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i] :
( ~ p(X0,X1,s2,s2,s2)
| ~ neq(X0,X1)
| ~ neq(X0,s2) ),
inference(global_subsumption_just,[status(thm)],[c_154,c_65,c_141,c_154]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i] :
( ~ neq(X0,s2)
| ~ neq(X0,X1)
| ~ p(X0,X1,s2,s2,s2) ),
inference(renaming,[status(thm)],[c_155]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i] :
( p(s0,s0,s1,X0,X1)
| ~ neq(s0,s2)
| ~ neq(s0,s1)
| ~ p(s0,s0,s2,X0,X1) ),
inference(resolution,[status(thm)],[c_95,c_78]) ).
tcf(c_167,plain,
( ~ neq(s0,s2)
| ~ neq(s0,s1)
| ~ p(s0,s1,s2,s2,s2) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] :
( p(s1,s1,s2,X0,X1)
| ~ neq(s1,s2)
| ~ neq(s1,s0)
| ~ p(s1,s1,s0,X0,X1) ),
inference(resolution,[status(thm)],[c_96,c_75]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i] :
( p(s2,s2,s1,X0,X1)
| ~ neq(s2,s1)
| ~ neq(s2,s0)
| ~ p(s2,s2,s0,X0,X1) ),
inference(resolution,[status(thm)],[c_98,c_73]) ).
tcf(c_221,plain,
! [X0: $i] :
( p(s0,s1,s2,s2,s2)
| ~ p(X0,s1,s2,s2,s2) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i] :
( p(s2,s2,s0,X0,X1)
| ~ neq(s2,s1)
| ~ neq(s2,s0)
| ~ p(s2,s2,s1,X0,X1) ),
inference(resolution,[status(thm)],[c_99,c_74]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i] :
( p(s0,s0,X0,s2,X1)
| ~ neq(s0,s2)
| ~ neq(s0,s1)
| ~ neq(X0,s2)
| ~ neq(X0,s1)
| ~ p(s0,s0,X0,s1,X1) ),
inference(resolution,[status(thm)],[c_100,c_76]) ).
tcf(c_246,plain,
! [X0: $i,X1: $i] :
( p(s0,s0,X0,s1,X1)
| ~ neq(s0,s2)
| ~ neq(s0,s1)
| ~ neq(X0,s2)
| ~ neq(X0,s1)
| ~ p(s0,s0,X0,s2,X1) ),
inference(resolution,[status(thm)],[c_101,c_78]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i] :
( p(s0,s0,s1,X0,X1)
| ~ p(s0,s0,s2,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_160,c_78,c_76,c_160]) ).
tcf(c_289,plain,
! [X0: $i,X1: $i] :
( p(s1,s1,X0,s2,X1)
| ~ neq(s1,s2)
| ~ neq(s1,s0)
| ~ neq(X0,s2)
| ~ neq(X0,s0)
| ~ p(s1,s1,X0,s0,X1) ),
inference(resolution,[status(thm)],[c_102,c_75]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i] :
( p(s1,s1,s2,X0,X1)
| ~ p(s1,s1,s0,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_184,c_77,c_75,c_184]) ).
tcf(c_322,plain,
p(s1,s1,s2,s0,s0),
inference(resolution,[status(thm)],[c_319,c_119]) ).
tcf(c_323,plain,
! [X0: $i] : p(X0,s1,s2,s0,s0),
inference(resolution,[status(thm)],[c_322,c_71]) ).
tcf(c_326,plain,
p(s2,s0,s2,s0,s0),
inference(resolution,[status(thm)],[c_323,c_122]) ).
tcf(c_328,plain,
! [X0: $i] : p(X0,s0,s2,s0,s0),
inference(resolution,[status(thm)],[c_326,c_71]) ).
tcf(c_336,plain,
p(s0,s0,s1,s0,s0),
inference(resolution,[status(thm)],[c_328,c_275]) ).
tcf(c_361,plain,
! [X0: $i,X1: $i] :
( p(s1,s1,X0,X1,s2)
| ~ neq(s1,s2)
| ~ neq(s1,s0)
| ~ neq(X1,s2)
| ~ neq(X1,s0)
| ~ neq(X0,s2)
| ~ neq(X0,s0)
| ~ p(s1,s1,X0,X1,s0) ),
inference(resolution,[status(thm)],[c_108,c_75]) ).
tcf(c_397,plain,
! [X0: $i] : p(X0,s0,s1,s0,s0),
inference(resolution,[status(thm)],[c_336,c_71]) ).
tcf(c_402,plain,
p(s2,s1,s1,s0,s0),
inference(resolution,[status(thm)],[c_397,c_116]) ).
tcf(c_409,plain,
! [X0: $i,X1: $i] :
( p(X0,s1,s2,s2,s2)
| ~ neq(s1,s2)
| ~ neq(s1,X1)
| ~ neq(X0,s2)
| ~ neq(X0,X1)
| ~ p(X0,s1,X1,s2,s2) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_410,plain,
! [X0: $i,X1: $i] :
( ~ neq(s1,X1)
| ~ neq(X0,s2)
| ~ neq(X0,X1)
| ~ p(X0,s1,X1,s2,s2) ),
inference(global_subsumption_just,[status(thm)],[c_409,c_78,c_76,c_75,c_167,c_221,c_409]) ).
tcf(c_416,plain,
! [X0: $i] : p(X0,s1,s1,s0,s0),
inference(resolution,[status(thm)],[c_402,c_71]) ).
tcf(c_462,plain,
! [X0: $i,X1: $i] :
( p(s2,s2,s1,X0,X1)
| ~ p(s2,s2,s0,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_219,c_74,c_73,c_219]) ).
tcf(c_469,plain,
! [X0: $i,X1: $i] :
( p(s2,s2,s0,X0,X1)
| ~ p(s2,s2,s1,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_236,c_74,c_73,c_236]) ).
tcf(c_474,plain,
! [X0: $i,X1: $i] :
( p(s0,s0,X0,s2,X1)
| ~ neq(X0,s2)
| ~ neq(X0,s1)
| ~ p(s0,s0,X0,s1,X1) ),
inference(global_subsumption_just,[status(thm)],[c_240,c_78,c_76,c_240]) ).
tcf(c_476,plain,
! [X0: $i] :
( p(s0,s0,s0,s2,X0)
| ~ neq(s0,s2)
| ~ p(s0,s0,s0,s1,X0) ),
inference(resolution,[status(thm)],[c_474,c_78]) ).
tcf(c_481,plain,
! [X0: $i,X1: $i] :
( p(s0,s0,X0,s1,X1)
| ~ neq(X0,s2)
| ~ neq(X0,s1)
| ~ p(s0,s0,X0,s2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_246,c_78,c_76,c_246]) ).
tcf(c_485,plain,
! [X0: $i] :
( p(s0,s0,s0,s2,X0)
| ~ p(s0,s0,s0,s1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_476,c_76,c_476]) ).
tcf(c_488,plain,
! [X0: $i] :
( p(s0,s0,s0,s1,X0)
| ~ neq(s0,s2)
| ~ p(s0,s0,s0,s2,X0) ),
inference(resolution,[status(thm)],[c_481,c_78]) ).
tcf(c_491,plain,
! [X0: $i] :
( p(s0,s0,s0,s1,X0)
| ~ p(s0,s0,s0,s2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_488,c_76,c_488]) ).
tcf(c_500,plain,
! [X0: $i,X1: $i] :
( p(s1,s1,X0,s2,X1)
| ~ neq(X0,s2)
| ~ neq(X0,s0)
| ~ p(s1,s1,X0,s0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_289,c_77,c_75,c_289]) ).
tcf(c_502,plain,
! [X0: $i] :
( p(s1,s1,s1,s2,X0)
| ~ neq(s1,s2)
| ~ p(s1,s1,s1,s0,X0) ),
inference(resolution,[status(thm)],[c_500,c_77]) ).
tcf(c_507,plain,
! [X0: $i] :
( p(s1,s1,s1,s2,X0)
| ~ p(s1,s1,s1,s0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_502,c_75,c_502]) ).
tcf(c_510,plain,
p(s1,s1,s1,s2,s0),
inference(resolution,[status(thm)],[c_507,c_416]) ).
tcf(c_511,plain,
! [X0: $i] : p(X0,s1,s1,s2,s0),
inference(resolution,[status(thm)],[c_510,c_71]) ).
tcf(c_515,plain,
p(s0,s2,s1,s2,s0),
inference(resolution,[status(thm)],[c_511,c_136]) ).
tcf(c_519,plain,
! [X0: $i] : p(X0,s2,s1,s2,s0),
inference(resolution,[status(thm)],[c_515,c_71]) ).
tcf(c_530,plain,
p(s2,s2,s0,s2,s0),
inference(resolution,[status(thm)],[c_519,c_469]) ).
tcf(c_551,plain,
( ~ neq(s1,s2)
| ~ neq(s1,s0)
| ~ p(s1,s1,s0,s2,s2) ),
inference(instantiation,[status(thm)],[c_410]) ).
tcf(c_575,plain,
! [X0: $i] : p(X0,s2,s0,s2,s0),
inference(resolution,[status(thm)],[c_530,c_71]) ).
tcf(c_596,plain,
p(s1,s0,s0,s2,s0),
inference(resolution,[status(thm)],[c_575,c_112]) ).
tcf(c_618,plain,
! [X0: $i,X1: $i] :
( p(s1,s1,X0,X1,s2)
| ~ neq(X1,s2)
| ~ neq(X1,s0)
| ~ neq(X0,s2)
| ~ neq(X0,s0)
| ~ p(s1,s1,X0,X1,s0) ),
inference(global_subsumption_just,[status(thm)],[c_361,c_77,c_75,c_361]) ).
tcf(c_627,plain,
! [X0: $i] : p(X0,s0,s0,s2,s0),
inference(resolution,[status(thm)],[c_596,c_71]) ).
tcf(c_650,plain,
p(s0,s0,s0,s1,s0),
inference(resolution,[status(thm)],[c_627,c_491]) ).
tcf(c_653,plain,
! [X0: $i] :
( p(s1,s1,s1,X0,s2)
| ~ neq(s1,s2)
| ~ neq(X0,s2)
| ~ neq(X0,s0)
| ~ p(s1,s1,s1,X0,s0) ),
inference(resolution,[status(thm)],[c_618,c_77]) ).
tcf(c_655,plain,
! [X0: $i] :
( p(s1,s1,s0,s2,s2)
| ~ p(X0,s1,s0,s2,s2) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_688,plain,
! [X0: $i] : p(X0,s0,s0,s1,s0),
inference(resolution,[status(thm)],[c_650,c_71]) ).
tcf(c_692,plain,
p(s1,s2,s0,s1,s0),
inference(resolution,[status(thm)],[c_688,c_133]) ).
tcf(c_747,plain,
! [X0: $i] : p(X0,s2,s0,s1,s0),
inference(resolution,[status(thm)],[c_692,c_71]) ).
tcf(c_761,plain,
p(s2,s2,s1,s1,s0),
inference(resolution,[status(thm)],[c_747,c_462]) ).
tcf(c_771,plain,
! [X0: $i] : p(X0,s2,s1,s1,s0),
inference(resolution,[status(thm)],[c_761,c_71]) ).
tcf(c_809,plain,
p(s0,s1,s1,s1,s0),
inference(resolution,[status(thm)],[c_771,c_92]) ).
tcf(c_835,plain,
! [X0: $i] : p(X0,s1,s1,s1,s0),
inference(resolution,[status(thm)],[c_809,c_71]) ).
tcf(c_844,plain,
! [X0: $i] :
( p(s1,s1,s1,X0,s2)
| ~ p(s1,s1,s1,X0,s0)
| ~ neq(X0,s0)
| ~ neq(X0,s2) ),
inference(global_subsumption_just,[status(thm)],[c_653,c_75,c_653]) ).
tcf(c_845,plain,
! [X0: $i] :
( p(s1,s1,s1,X0,s2)
| ~ neq(X0,s2)
| ~ neq(X0,s0)
| ~ p(s1,s1,s1,X0,s0) ),
inference(renaming,[status(thm)],[c_844]) ).
tcf(c_855,plain,
! [X0: $i,X1: $i] :
( p(X0,s1,s0,s2,s2)
| ~ neq(X0,s1)
| ~ neq(X0,X1)
| ~ p(X0,X1,s0,s2,s2) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_856,plain,
! [X0: $i,X1: $i] :
( ~ p(X0,X1,s0,s2,s2)
| ~ neq(X0,X1)
| ~ neq(X0,s1) ),
inference(global_subsumption_just,[status(thm)],[c_855,c_77,c_75,c_551,c_655,c_855]) ).
tcf(c_857,plain,
! [X0: $i,X1: $i] :
( ~ neq(X0,s1)
| ~ neq(X0,X1)
| ~ p(X0,X1,s0,s2,s2) ),
inference(renaming,[status(thm)],[c_856]) ).
tcf(c_892,plain,
( p(s1,s1,s1,s1,s2)
| ~ neq(s1,s2)
| ~ p(s1,s1,s1,s1,s0) ),
inference(resolution,[status(thm)],[c_845,c_77]) ).
tcf(c_920,plain,
( p(s1,s1,s1,s1,s2)
| ~ p(s1,s1,s1,s1,s0) ),
inference(global_subsumption_just,[status(thm)],[c_892,c_75,c_892]) ).
tcf(c_922,plain,
p(s1,s1,s1,s1,s2),
inference(resolution,[status(thm)],[c_920,c_835]) ).
tcf(c_932,plain,
! [X0: $i] : p(X0,s1,s1,s1,s2),
inference(resolution,[status(thm)],[c_922,c_71]) ).
tcf(c_947,plain,
p(s0,s2,s1,s1,s2),
inference(resolution,[status(thm)],[c_932,c_136]) ).
tcf(c_967,plain,
! [X0: $i] : p(X0,s2,s1,s1,s2),
inference(resolution,[status(thm)],[c_947,c_71]) ).
tcf(c_990,plain,
( ~ neq(s2,s1)
| ~ neq(s2,s0)
| ~ p(s2,s0,s0,s2,s2) ),
inference(instantiation,[status(thm)],[c_857]) ).
tcf(c_1011,plain,
p(s2,s2,s0,s1,s2),
inference(resolution,[status(thm)],[c_967,c_469]) ).
tcf(c_1027,plain,
! [X0: $i] : p(X0,s2,s0,s1,s2),
inference(resolution,[status(thm)],[c_1011,c_71]) ).
tcf(c_1060,plain,
p(s1,s0,s0,s1,s2),
inference(resolution,[status(thm)],[c_1027,c_112]) ).
tcf(c_1133,plain,
! [X0: $i] : p(X0,s0,s0,s1,s2),
inference(resolution,[status(thm)],[c_1060,c_71]) ).
tcf(c_1146,plain,
! [X0: $i] :
( p(s2,s0,s0,s2,s2)
| ~ p(X0,s0,s0,s2,s2) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_1147,plain,
( p(s2,s0,s0,s2,s2)
| ~ p(s0,s0,s0,s2,s2) ),
inference(instantiation,[status(thm)],[c_1146]) ).
tcf(c_1204,plain,
p(s0,s0,s0,s2,s2),
inference(resolution,[status(thm)],[c_1133,c_485]) ).
tcf(c_1205,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1204,c_1147,c_990,c_73,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ056-2.005 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n013.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 06:49:21 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running EPR theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 3.33/1.22 % SZS status Started for theBenchmark.p
% 3.33/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 3.33/1.22
% 3.33/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.33/1.22
% 3.33/1.22 % ------ iProver source info
% 3.33/1.22
% 3.33/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 3.33/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.33/1.22 % git: non_committed_changes: false
% 3.33/1.22
% 3.33/1.22 % ------ Parsing...% successful
% 3.33/1.22
% 3.33/1.22
% 3.33/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 3.33/1.22 %
% 3.33/1.22
% 3.33/1.22 % ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e %
% 3.33/1.22
% 3.33/1.22 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 3.33/1.22 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.33/1.22 % ------ Proving...
% 3.33/1.22 % ------ Problem Properties
% 3.33/1.22
% 3.33/1.22 %
% 3.33/1.22 % clauses 13
% 3.33/1.22 % conjectures 1
% 3.33/1.22 % EPR 13
% 3.33/1.22 % Horn 13
% 3.33/1.22 % unary 8
% 3.33/1.22 % binary 1
% 3.33/1.22 % lits 38
% 3.33/1.22 % lits eq 0
% 3.33/1.22 % fd_pure 0
% 3.33/1.22 % fd_pseudo 0
% 3.33/1.22 % fd_cond 0
% 3.33/1.22 % fd_pseudo_cond 0
% 3.33/1.22 % AC symbols 0
% 3.33/1.22
% 3.33/1.22 % ------ Schedule EPR Horn non eq is on
% 3.33/1.22
% 3.33/1.22 % ------ no equalities: superposition off
% 3.33/1.22
% 3.33/1.22 % ------ Option_epr_horn Time Limit: Unbounded
% 3.33/1.22
% 3.33/1.22
% 3.33/1.22 % ------
% 3.33/1.22 % Current options:
% 3.33/1.22 % ------
% 3.33/1.22
% 3.33/1.22
% 3.33/1.22 %
% 3.33/1.22
% 3.33/1.22 % ------ Proving...
% 3.33/1.22 %
% 3.33/1.22
% 3.33/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 3.33/1.22
% 3.33/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.33/1.22
% 3.33/1.22
%------------------------------------------------------------------------------