TSTP Solution File: COM008+2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COM008+2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 04:55:23 EDT 2024
% Result : Theorem 31.92s 5.19s
% Output : CNFRefutation 31.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 112 ( 19 unt; 0 def)
% Number of atoms : 332 ( 49 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 400 ( 180 ~; 187 |; 24 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 164 ( 0 sgn 77 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ( transitive_reflexive_rewrite(c,X0)
& transitive_reflexive_rewrite(b,X0) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',found) ).
fof(f2,axiom,
( transitive_reflexive_rewrite(a,c)
& transitive_reflexive_rewrite(a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption) ).
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
=> transitive_reflexive_rewrite(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality_in_transitive_reflexive_rewrite) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( transitive_reflexive_rewrite(X1,X2)
& transitive_reflexive_rewrite(X0,X1) )
=> transitive_reflexive_rewrite(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_transitive_reflexive_rewrite) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( rewrite(X0,X2)
& rewrite(X0,X1) )
=> ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lo_cfl) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( transitive_reflexive_rewrite(X0,X2)
& transitive_reflexive_rewrite(X0,X1)
& rewrite(a,X0) )
=> ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ih_cfl) ).
fof(f8,axiom,
! [X0,X1] :
( transitive_reflexive_rewrite(X0,X1)
=> ( ? [X2] :
( transitive_reflexive_rewrite(X2,X1)
& rewrite(X0,X2) )
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_or_rewrite) ).
fof(f9,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f10,negated_conjecture,
~ goal,
inference(negated_conjecture,[],[f9]) ).
fof(f11,plain,
~ goal,
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X0] :
( goal
| ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f13,plain,
! [X0] :
( goal
| ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( transitive_reflexive_rewrite(X0,X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f3]) ).
fof(f16,plain,
! [X0,X1,X2] :
( transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f17,plain,
! [X0,X1,X2] :
( transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) )
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ rewrite(a,X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) )
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ rewrite(a,X0) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( ? [X2] :
( transitive_reflexive_rewrite(X2,X1)
& rewrite(X0,X2) )
| X0 = X1
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f23,plain,
! [X0,X1] :
( ? [X2] :
( transitive_reflexive_rewrite(X2,X1)
& rewrite(X0,X2) )
| X0 = X1
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
! [X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) )
=> ( transitive_reflexive_rewrite(X2,sK0(X1,X2))
& transitive_reflexive_rewrite(X1,sK0(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( transitive_reflexive_rewrite(X2,sK0(X1,X2))
& transitive_reflexive_rewrite(X1,sK0(X1,X2)) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f24]) ).
fof(f26,plain,
! [X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) )
=> ( transitive_reflexive_rewrite(X2,sK1(X1,X2))
& transitive_reflexive_rewrite(X1,sK1(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( transitive_reflexive_rewrite(X2,sK1(X1,X2))
& transitive_reflexive_rewrite(X1,sK1(X1,X2)) )
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ rewrite(a,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f21,f26]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X2] :
( transitive_reflexive_rewrite(X2,X1)
& rewrite(X0,X2) )
=> ( transitive_reflexive_rewrite(sK2(X0,X1),X1)
& rewrite(X0,sK2(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0,X1] :
( ( transitive_reflexive_rewrite(sK2(X0,X1),X1)
& rewrite(X0,sK2(X0,X1)) )
| X0 = X1
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f23,f28]) ).
fof(f30,plain,
! [X0] :
( goal
| ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
transitive_reflexive_rewrite(a,b),
inference(cnf_transformation,[],[f2]) ).
fof(f32,plain,
transitive_reflexive_rewrite(a,c),
inference(cnf_transformation,[],[f2]) ).
fof(f33,plain,
! [X0,X1] :
( transitive_reflexive_rewrite(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f35,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f36,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X1,sK0(X1,X2))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f37,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X2,sK0(X1,X2))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f38,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X1,sK1(X1,X2))
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ rewrite(a,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f39,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X2,sK1(X1,X2))
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X0,X1)
| ~ rewrite(a,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f40,plain,
! [X0,X1] :
( rewrite(X0,sK2(X0,X1))
| X0 = X1
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f41,plain,
! [X0,X1] :
( transitive_reflexive_rewrite(sK2(X0,X1),X1)
| X0 = X1
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f42,plain,
~ goal,
inference(cnf_transformation,[],[f11]) ).
fof(f43,plain,
! [X1] : transitive_reflexive_rewrite(X1,X1),
inference(equality_resolution,[],[f33]) ).
cnf(c_49,plain,
( ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0)
| goal ),
inference(cnf_transformation,[],[f30]) ).
cnf(c_50,plain,
transitive_reflexive_rewrite(a,c),
inference(cnf_transformation,[],[f32]) ).
cnf(c_51,plain,
transitive_reflexive_rewrite(a,b),
inference(cnf_transformation,[],[f31]) ).
cnf(c_52,plain,
transitive_reflexive_rewrite(X0,X0),
inference(cnf_transformation,[],[f43]) ).
cnf(c_54,plain,
( ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X1,X2)
| transitive_reflexive_rewrite(X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
cnf(c_55,plain,
( ~ rewrite(X0,X1)
| ~ rewrite(X0,X2)
| transitive_reflexive_rewrite(X2,sK0(X1,X2)) ),
inference(cnf_transformation,[],[f37]) ).
cnf(c_56,plain,
( ~ rewrite(X0,X1)
| ~ rewrite(X0,X2)
| transitive_reflexive_rewrite(X1,sK0(X1,X2)) ),
inference(cnf_transformation,[],[f36]) ).
cnf(c_57,plain,
( ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ rewrite(a,X0)
| transitive_reflexive_rewrite(X2,sK1(X1,X2)) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_58,plain,
( ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ rewrite(a,X0)
| transitive_reflexive_rewrite(X1,sK1(X1,X2)) ),
inference(cnf_transformation,[],[f38]) ).
cnf(c_59,plain,
( ~ transitive_reflexive_rewrite(X0,X1)
| X0 = X1
| transitive_reflexive_rewrite(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f41]) ).
cnf(c_60,plain,
( ~ transitive_reflexive_rewrite(X0,X1)
| X0 = X1
| rewrite(X0,sK2(X0,X1)) ),
inference(cnf_transformation,[],[f40]) ).
cnf(c_61,negated_conjecture,
~ goal,
inference(cnf_transformation,[],[f42]) ).
cnf(c_62,plain,
transitive_reflexive_rewrite(a,a),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_68,plain,
( ~ transitive_reflexive_rewrite(b,X0)
| ~ transitive_reflexive_rewrite(c,X0) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_61,c_49]) ).
cnf(c_69,plain,
( ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) ),
inference(renaming,[status(thm)],[c_68]) ).
cnf(c_87,plain,
X0 = X0,
theory(equality) ).
cnf(c_89,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_90,plain,
( X0 != X1
| X2 != X3
| ~ transitive_reflexive_rewrite(X1,X3)
| transitive_reflexive_rewrite(X0,X2) ),
theory(equality) ).
cnf(c_98,plain,
a = a,
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_100,plain,
( ~ transitive_reflexive_rewrite(c,b)
| ~ transitive_reflexive_rewrite(b,b) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_101,plain,
transitive_reflexive_rewrite(b,b),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_102,plain,
( ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(b,X0)
| transitive_reflexive_rewrite(b,X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_103,plain,
~ transitive_reflexive_rewrite(b,c),
inference(superposition,[status(thm)],[c_52,c_69]) ).
cnf(c_107,plain,
( X0 != X1
| b != X2
| ~ transitive_reflexive_rewrite(X2,X1)
| transitive_reflexive_rewrite(b,X0) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_110,plain,
( ~ transitive_reflexive_rewrite(X0,b)
| ~ transitive_reflexive_rewrite(c,X0)
| transitive_reflexive_rewrite(c,b) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_111,plain,
( ~ transitive_reflexive_rewrite(c,a)
| ~ transitive_reflexive_rewrite(a,b)
| transitive_reflexive_rewrite(c,b) ),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_123,plain,
( X0 != X1
| b != b
| ~ transitive_reflexive_rewrite(b,X1)
| transitive_reflexive_rewrite(b,X0) ),
inference(instantiation,[status(thm)],[c_107]) ).
cnf(c_124,plain,
b = b,
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_133,plain,
( X0 != X1
| c != X2
| ~ transitive_reflexive_rewrite(X2,X1)
| transitive_reflexive_rewrite(c,X0) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_134,plain,
( ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(c,X0)
| transitive_reflexive_rewrite(c,X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_135,plain,
( c != a
| a != a
| ~ transitive_reflexive_rewrite(a,a)
| transitive_reflexive_rewrite(c,a) ),
inference(instantiation,[status(thm)],[c_133]) ).
cnf(c_154,plain,
( X0 != b
| b != b
| ~ transitive_reflexive_rewrite(b,b)
| transitive_reflexive_rewrite(b,X0) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_155,plain,
( b != b
| a != b
| ~ transitive_reflexive_rewrite(b,b)
| transitive_reflexive_rewrite(b,a) ),
inference(instantiation,[status(thm)],[c_154]) ).
cnf(c_171,plain,
( X0 != X1
| c != X1
| c = X0 ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_173,plain,
( ~ transitive_reflexive_rewrite(X0,b)
| X0 = b
| rewrite(X0,sK2(X0,b)) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_174,plain,
( ~ transitive_reflexive_rewrite(X0,b)
| X0 = b
| transitive_reflexive_rewrite(sK2(X0,b),b) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_175,plain,
( ~ transitive_reflexive_rewrite(a,b)
| a = b
| transitive_reflexive_rewrite(sK2(a,b),b) ),
inference(instantiation,[status(thm)],[c_174]) ).
cnf(c_176,plain,
( ~ transitive_reflexive_rewrite(a,b)
| a = b
| rewrite(a,sK2(a,b)) ),
inference(instantiation,[status(thm)],[c_173]) ).
cnf(c_207,plain,
c = c,
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_225,plain,
( ~ transitive_reflexive_rewrite(X0,c)
| ~ transitive_reflexive_rewrite(b,X0)
| transitive_reflexive_rewrite(b,c) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_226,plain,
( ~ transitive_reflexive_rewrite(b,a)
| ~ transitive_reflexive_rewrite(a,c)
| transitive_reflexive_rewrite(b,c) ),
inference(instantiation,[status(thm)],[c_225]) ).
cnf(c_276,plain,
( X0 != c
| c != c
| c = X0 ),
inference(instantiation,[status(thm)],[c_171]) ).
cnf(c_277,plain,
( c != c
| a != c
| c = a ),
inference(instantiation,[status(thm)],[c_276]) ).
cnf(c_347,plain,
( ~ transitive_reflexive_rewrite(X0,c)
| X0 = c
| rewrite(X0,sK2(X0,c)) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_348,plain,
( ~ transitive_reflexive_rewrite(X0,c)
| X0 = c
| transitive_reflexive_rewrite(sK2(X0,c),c) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_349,plain,
( ~ transitive_reflexive_rewrite(a,c)
| a = c
| transitive_reflexive_rewrite(sK2(a,c),c) ),
inference(instantiation,[status(thm)],[c_348]) ).
cnf(c_350,plain,
( ~ transitive_reflexive_rewrite(a,c)
| a = c
| rewrite(a,sK2(a,c)) ),
inference(instantiation,[status(thm)],[c_347]) ).
cnf(c_395,plain,
( ~ rewrite(X0,sK2(X0,b))
| ~ rewrite(X0,X1)
| transitive_reflexive_rewrite(X1,sK0(X1,sK2(X0,b))) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_396,plain,
( ~ rewrite(X0,sK2(X0,b))
| ~ rewrite(X0,X1)
| transitive_reflexive_rewrite(sK2(X0,b),sK0(X1,sK2(X0,b))) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_400,plain,
( ~ transitive_reflexive_rewrite(sK2(a,b),X0)
| ~ transitive_reflexive_rewrite(sK2(a,b),X1)
| ~ rewrite(a,sK2(a,b))
| transitive_reflexive_rewrite(X0,sK1(X0,X1)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_401,plain,
( ~ transitive_reflexive_rewrite(sK2(a,b),X0)
| ~ transitive_reflexive_rewrite(sK2(a,b),X1)
| ~ rewrite(a,sK2(a,b))
| transitive_reflexive_rewrite(X1,sK1(X0,X1)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_617,plain,
( ~ rewrite(X0,sK2(X0,c))
| ~ rewrite(X0,sK2(X0,b))
| transitive_reflexive_rewrite(sK2(X0,c),sK0(sK2(X0,c),sK2(X0,b))) ),
inference(instantiation,[status(thm)],[c_395]) ).
cnf(c_620,plain,
( ~ rewrite(a,sK2(a,c))
| ~ rewrite(a,sK2(a,b))
| transitive_reflexive_rewrite(sK2(a,c),sK0(sK2(a,c),sK2(a,b))) ),
inference(instantiation,[status(thm)],[c_617]) ).
cnf(c_626,plain,
( ~ transitive_reflexive_rewrite(sK2(a,c),X0)
| ~ transitive_reflexive_rewrite(sK2(a,c),X1)
| ~ rewrite(a,sK2(a,c))
| transitive_reflexive_rewrite(X0,sK1(X0,X1)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_627,plain,
( ~ transitive_reflexive_rewrite(sK2(a,c),X0)
| ~ transitive_reflexive_rewrite(sK2(a,c),X1)
| ~ rewrite(a,sK2(a,c))
| transitive_reflexive_rewrite(X1,sK1(X0,X1)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_665,plain,
( ~ transitive_reflexive_rewrite(sK2(a,b),X0)
| ~ transitive_reflexive_rewrite(X0,X1)
| transitive_reflexive_rewrite(sK2(a,b),X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_667,plain,
( ~ transitive_reflexive_rewrite(sK2(a,b),X0)
| ~ transitive_reflexive_rewrite(sK2(a,b),b)
| ~ rewrite(a,sK2(a,b))
| transitive_reflexive_rewrite(X0,sK1(X0,b)) ),
inference(instantiation,[status(thm)],[c_400]) ).
cnf(c_715,plain,
( ~ rewrite(X0,sK2(X0,c))
| ~ rewrite(X0,sK2(X0,b))
| transitive_reflexive_rewrite(sK2(X0,b),sK0(sK2(X0,c),sK2(X0,b))) ),
inference(instantiation,[status(thm)],[c_396]) ).
cnf(c_716,plain,
( ~ rewrite(a,sK2(a,c))
| ~ rewrite(a,sK2(a,b))
| transitive_reflexive_rewrite(sK2(a,b),sK0(sK2(a,c),sK2(a,b))) ),
inference(instantiation,[status(thm)],[c_715]) ).
cnf(c_794,plain,
( ~ transitive_reflexive_rewrite(sK2(a,b),X0)
| ~ transitive_reflexive_rewrite(sK2(a,b),b)
| ~ rewrite(a,sK2(a,b))
| transitive_reflexive_rewrite(b,sK1(X0,b)) ),
inference(instantiation,[status(thm)],[c_401]) ).
cnf(c_1191,plain,
( ~ transitive_reflexive_rewrite(sK2(a,c),sK0(sK2(a,c),sK2(a,b)))
| ~ transitive_reflexive_rewrite(sK2(a,c),X0)
| ~ rewrite(a,sK2(a,c))
| transitive_reflexive_rewrite(sK0(sK2(a,c),sK2(a,b)),sK1(X0,sK0(sK2(a,c),sK2(a,b)))) ),
inference(instantiation,[status(thm)],[c_627]) ).
cnf(c_1192,plain,
( ~ transitive_reflexive_rewrite(sK2(a,c),sK0(sK2(a,c),sK2(a,b)))
| ~ transitive_reflexive_rewrite(sK2(a,c),X0)
| ~ rewrite(a,sK2(a,c))
| transitive_reflexive_rewrite(X0,sK1(X0,sK0(sK2(a,c),sK2(a,b)))) ),
inference(instantiation,[status(thm)],[c_626]) ).
cnf(c_1224,plain,
( ~ transitive_reflexive_rewrite(sK2(a,b),sK0(sK2(a,c),sK2(a,b)))
| ~ transitive_reflexive_rewrite(sK0(sK2(a,c),sK2(a,b)),X0)
| transitive_reflexive_rewrite(sK2(a,b),X0) ),
inference(instantiation,[status(thm)],[c_665]) ).
cnf(c_2112,plain,
( ~ transitive_reflexive_rewrite(sK2(a,c),sK0(sK2(a,c),sK2(a,b)))
| ~ transitive_reflexive_rewrite(sK2(a,c),c)
| ~ rewrite(a,sK2(a,c))
| transitive_reflexive_rewrite(sK0(sK2(a,c),sK2(a,b)),sK1(c,sK0(sK2(a,c),sK2(a,b)))) ),
inference(instantiation,[status(thm)],[c_1191]) ).
cnf(c_2314,plain,
( ~ transitive_reflexive_rewrite(sK2(a,c),sK0(sK2(a,c),sK2(a,b)))
| ~ transitive_reflexive_rewrite(sK2(a,c),c)
| ~ rewrite(a,sK2(a,c))
| transitive_reflexive_rewrite(c,sK1(c,sK0(sK2(a,c),sK2(a,b)))) ),
inference(instantiation,[status(thm)],[c_1192]) ).
cnf(c_4534,plain,
( ~ transitive_reflexive_rewrite(sK0(sK2(a,c),sK2(a,b)),sK1(c,sK0(sK2(a,c),sK2(a,b))))
| ~ transitive_reflexive_rewrite(sK2(a,b),sK0(sK2(a,c),sK2(a,b)))
| transitive_reflexive_rewrite(sK2(a,b),sK1(c,sK0(sK2(a,c),sK2(a,b)))) ),
inference(instantiation,[status(thm)],[c_1224]) ).
cnf(c_4860,plain,
( ~ transitive_reflexive_rewrite(sK1(c,sK0(sK2(a,c),sK2(a,b))),X0)
| ~ transitive_reflexive_rewrite(c,sK1(c,sK0(sK2(a,c),sK2(a,b))))
| transitive_reflexive_rewrite(c,X0) ),
inference(instantiation,[status(thm)],[c_134]) ).
cnf(c_13831,plain,
( ~ transitive_reflexive_rewrite(sK2(a,b),sK1(c,sK0(sK2(a,c),sK2(a,b))))
| ~ transitive_reflexive_rewrite(sK2(a,b),b)
| ~ rewrite(a,sK2(a,b))
| transitive_reflexive_rewrite(b,sK1(sK1(c,sK0(sK2(a,c),sK2(a,b))),b)) ),
inference(instantiation,[status(thm)],[c_794]) ).
cnf(c_23287,plain,
( ~ transitive_reflexive_rewrite(sK1(c,sK0(sK2(a,c),sK2(a,b))),sK1(sK1(c,sK0(sK2(a,c),sK2(a,b))),b))
| ~ transitive_reflexive_rewrite(c,sK1(c,sK0(sK2(a,c),sK2(a,b))))
| transitive_reflexive_rewrite(c,sK1(sK1(c,sK0(sK2(a,c),sK2(a,b))),b)) ),
inference(instantiation,[status(thm)],[c_4860]) ).
cnf(c_23288,plain,
( ~ transitive_reflexive_rewrite(sK2(a,b),sK1(c,sK0(sK2(a,c),sK2(a,b))))
| ~ transitive_reflexive_rewrite(sK2(a,b),b)
| ~ rewrite(a,sK2(a,b))
| transitive_reflexive_rewrite(sK1(c,sK0(sK2(a,c),sK2(a,b))),sK1(sK1(c,sK0(sK2(a,c),sK2(a,b))),b)) ),
inference(instantiation,[status(thm)],[c_667]) ).
cnf(c_40956,plain,
( ~ transitive_reflexive_rewrite(c,sK1(sK1(c,sK0(sK2(a,c),sK2(a,b))),b))
| ~ transitive_reflexive_rewrite(b,sK1(sK1(c,sK0(sK2(a,c),sK2(a,b))),b)) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_40958,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_40956,c_23288,c_23287,c_13831,c_4534,c_2314,c_2112,c_716,c_620,c_350,c_349,c_277,c_226,c_207,c_176,c_175,c_155,c_135,c_124,c_111,c_103,c_101,c_100,c_98,c_50,c_51,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COM008+2 : TPTP v8.2.0. Released v3.2.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.35 % Computer : n018.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Thu Jun 20 23:18:39 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 31.92/5.19 % SZS status Started for theBenchmark.p
% 31.92/5.19 % SZS status Theorem for theBenchmark.p
% 31.92/5.19
% 31.92/5.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 31.92/5.19
% 31.92/5.19 ------ iProver source info
% 31.92/5.19
% 31.92/5.19 git: date: 2024-06-12 09:56:46 +0000
% 31.92/5.19 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 31.92/5.19 git: non_committed_changes: false
% 31.92/5.19
% 31.92/5.19 ------ Parsing...
% 31.92/5.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 31.92/5.19
% 31.92/5.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 2 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 31.92/5.19
% 31.92/5.19 ------ Preprocessing...
% 31.92/5.19
% 31.92/5.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 31.92/5.19 ------ Proving...
% 31.92/5.19 ------ Problem Properties
% 31.92/5.19
% 31.92/5.19
% 31.92/5.19 clauses 12
% 31.92/5.19 conjectures 0
% 31.92/5.19 EPR 6
% 31.92/5.19 Horn 10
% 31.92/5.19 unary 3
% 31.92/5.19 binary 2
% 31.92/5.19 lits 30
% 31.92/5.19 lits eq 2
% 31.92/5.19 fd_pure 0
% 31.92/5.19 fd_pseudo 0
% 31.92/5.19 fd_cond 0
% 31.92/5.19 fd_pseudo_cond 2
% 31.92/5.19 AC symbols 0
% 31.92/5.19
% 31.92/5.19 ------ Input Options Time Limit: Unbounded
% 31.92/5.19
% 31.92/5.19
% 31.92/5.19 ------
% 31.92/5.19 Current options:
% 31.92/5.19 ------
% 31.92/5.19
% 31.92/5.19
% 31.92/5.19
% 31.92/5.19
% 31.92/5.19 ------ Proving...
% 31.92/5.19
% 31.92/5.19
% 31.92/5.19 % SZS status Theorem for theBenchmark.p
% 31.92/5.19
% 31.92/5.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.92/5.19
% 31.92/5.20
%------------------------------------------------------------------------------