TSTP Solution File: COM008+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : COM008+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Wed Aug 30 18:42:01 EDT 2023
% Result : Theorem 3.58s 1.02s
% Output : CNFRefutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 112 ( 15 unt; 0 def)
% Number of atoms : 317 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 369 ( 164 ~; 171 |; 24 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 157 ( 0 sgn; 84 !; 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] : equalish(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(X0,X1)
=> equalish(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry) ).
fof(f5,axiom,
! [X0,X1] :
( equalish(X0,X1)
=> transitive_reflexive_rewrite(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality_in_transitive_reflexive_rewrite) ).
fof(f7,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(f8,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(f9,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(f10,axiom,
! [X0,X1] :
( transitive_reflexive_rewrite(X0,X1)
=> ( ? [X2] :
( transitive_reflexive_rewrite(X2,X1)
& rewrite(X0,X2) )
| equalish(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equalish_or_rewrite) ).
fof(f11,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f12,negated_conjecture,
~ goal,
inference(negated_conjecture,[],[f11]) ).
fof(f13,plain,
~ goal,
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0] :
( goal
| ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f15,plain,
! [X0] :
( goal
| ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f17,plain,
! [X0,X1] :
( transitive_reflexive_rewrite(X0,X1)
| ~ equalish(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0,X1,X2] :
( transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f20,plain,
! [X0,X1,X2] :
( transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ? [X3] :
( transitive_reflexive_rewrite(X2,X3)
& transitive_reflexive_rewrite(X1,X3) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f23,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,[],[f9]) ).
fof(f24,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,[],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X2] :
( transitive_reflexive_rewrite(X2,X1)
& rewrite(X0,X2) )
| equalish(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f26,plain,
! [X0,X1] :
( ? [X2] :
( transitive_reflexive_rewrite(X2,X1)
& rewrite(X0,X2) )
| equalish(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f27,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(f28,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])],[f22,f27]) ).
fof(f29,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(f30,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])],[f24,f29]) ).
fof(f31,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(f32,plain,
! [X0,X1] :
( ( transitive_reflexive_rewrite(sK2(X0,X1),X1)
& rewrite(X0,sK2(X0,X1)) )
| equalish(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f26,f31]) ).
fof(f33,plain,
! [X0] :
( goal
| ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
transitive_reflexive_rewrite(a,b),
inference(cnf_transformation,[],[f2]) ).
fof(f35,plain,
transitive_reflexive_rewrite(a,c),
inference(cnf_transformation,[],[f2]) ).
fof(f36,plain,
! [X0] : equalish(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f37,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f38,plain,
! [X0,X1] :
( transitive_reflexive_rewrite(X0,X1)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f40,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X0,X2)
| ~ transitive_reflexive_rewrite(X1,X2)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X1,sK0(X1,X2))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f42,plain,
! [X2,X0,X1] :
( transitive_reflexive_rewrite(X2,sK0(X1,X2))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f43,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,[],[f30]) ).
fof(f44,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,[],[f30]) ).
fof(f45,plain,
! [X0,X1] :
( rewrite(X0,sK2(X0,X1))
| equalish(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f46,plain,
! [X0,X1] :
( transitive_reflexive_rewrite(sK2(X0,X1),X1)
| equalish(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f47,plain,
~ goal,
inference(cnf_transformation,[],[f13]) ).
cnf(c_49,plain,
( ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0)
| goal ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_50,plain,
transitive_reflexive_rewrite(a,c),
inference(cnf_transformation,[],[f35]) ).
cnf(c_51,plain,
transitive_reflexive_rewrite(a,b),
inference(cnf_transformation,[],[f34]) ).
cnf(c_52,plain,
equalish(X0,X0),
inference(cnf_transformation,[],[f36]) ).
cnf(c_53,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
cnf(c_54,plain,
( ~ equalish(X0,X1)
| transitive_reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
cnf(c_56,plain,
( ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X1,X2)
| transitive_reflexive_rewrite(X0,X2) ),
inference(cnf_transformation,[],[f40]) ).
cnf(c_57,plain,
( ~ rewrite(X0,X1)
| ~ rewrite(X0,X2)
| transitive_reflexive_rewrite(X2,sK0(X1,X2)) ),
inference(cnf_transformation,[],[f42]) ).
cnf(c_58,plain,
( ~ rewrite(X0,X1)
| ~ rewrite(X0,X2)
| transitive_reflexive_rewrite(X1,sK0(X1,X2)) ),
inference(cnf_transformation,[],[f41]) ).
cnf(c_59,plain,
( ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ rewrite(a,X0)
| transitive_reflexive_rewrite(X2,sK1(X1,X2)) ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_60,plain,
( ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(X0,X2)
| ~ rewrite(a,X0)
| transitive_reflexive_rewrite(X1,sK1(X1,X2)) ),
inference(cnf_transformation,[],[f43]) ).
cnf(c_61,plain,
( ~ transitive_reflexive_rewrite(X0,X1)
| transitive_reflexive_rewrite(sK2(X0,X1),X1)
| equalish(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_62,plain,
( ~ transitive_reflexive_rewrite(X0,X1)
| rewrite(X0,sK2(X0,X1))
| equalish(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
cnf(c_63,negated_conjecture,
~ goal,
inference(cnf_transformation,[],[f47]) ).
cnf(c_70,plain,
( ~ transitive_reflexive_rewrite(b,X0)
| ~ transitive_reflexive_rewrite(c,X0) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_63,c_49]) ).
cnf(c_71,plain,
( ~ transitive_reflexive_rewrite(c,X0)
| ~ transitive_reflexive_rewrite(b,X0) ),
inference(renaming,[status(thm)],[c_70]) ).
cnf(c_211,plain,
( ~ equalish(c,X0)
| transitive_reflexive_rewrite(c,X0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_212,plain,
( ~ equalish(c,a)
| transitive_reflexive_rewrite(c,a) ),
inference(instantiation,[status(thm)],[c_211]) ).
cnf(c_215,plain,
( ~ transitive_reflexive_rewrite(X0,X1)
| ~ transitive_reflexive_rewrite(c,X0)
| transitive_reflexive_rewrite(c,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_216,plain,
( ~ equalish(c,c)
| transitive_reflexive_rewrite(c,c) ),
inference(instantiation,[status(thm)],[c_211]) ).
cnf(c_217,plain,
equalish(c,c),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_218,plain,
( ~ equalish(X0,c)
| equalish(c,X0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_219,plain,
( ~ equalish(a,c)
| equalish(c,a) ),
inference(instantiation,[status(thm)],[c_218]) ).
cnf(c_228,plain,
( ~ transitive_reflexive_rewrite(c,c)
| ~ transitive_reflexive_rewrite(b,c) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_233,plain,
( ~ transitive_reflexive_rewrite(X0,c)
| rewrite(X0,sK2(X0,c))
| equalish(X0,c) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_234,plain,
( ~ transitive_reflexive_rewrite(X0,c)
| transitive_reflexive_rewrite(sK2(X0,c),c)
| equalish(X0,c) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_235,plain,
( ~ transitive_reflexive_rewrite(a,c)
| transitive_reflexive_rewrite(sK2(a,c),c)
| equalish(a,c) ),
inference(instantiation,[status(thm)],[c_234]) ).
cnf(c_236,plain,
( ~ transitive_reflexive_rewrite(a,c)
| rewrite(a,sK2(a,c))
| equalish(a,c) ),
inference(instantiation,[status(thm)],[c_233]) ).
cnf(c_248,plain,
( ~ transitive_reflexive_rewrite(X0,c)
| ~ transitive_reflexive_rewrite(b,X0)
| transitive_reflexive_rewrite(b,c) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_249,plain,
( ~ transitive_reflexive_rewrite(b,a)
| ~ transitive_reflexive_rewrite(a,c)
| transitive_reflexive_rewrite(b,c) ),
inference(instantiation,[status(thm)],[c_248]) ).
cnf(c_255,plain,
( ~ rewrite(X0,sK2(X0,c))
| ~ rewrite(X0,X1)
| transitive_reflexive_rewrite(sK2(X0,c),sK0(sK2(X0,c),X1)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_256,plain,
( ~ rewrite(X0,sK2(X0,c))
| ~ rewrite(X0,X1)
| transitive_reflexive_rewrite(X1,sK0(sK2(X0,c),X1)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_260,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_60]) ).
cnf(c_261,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_59]) ).
cnf(c_268,plain,
( ~ equalish(b,X0)
| transitive_reflexive_rewrite(b,X0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_269,plain,
( ~ equalish(b,a)
| transitive_reflexive_rewrite(b,a) ),
inference(instantiation,[status(thm)],[c_268]) ).
cnf(c_286,plain,
( ~ equalish(b,b)
| transitive_reflexive_rewrite(b,b) ),
inference(instantiation,[status(thm)],[c_268]) ).
cnf(c_287,plain,
equalish(b,b),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_288,plain,
( ~ equalish(X0,b)
| equalish(b,X0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_289,plain,
( ~ equalish(a,b)
| equalish(b,a) ),
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_312,plain,
( ~ transitive_reflexive_rewrite(c,b)
| ~ transitive_reflexive_rewrite(b,b) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_317,plain,
( ~ transitive_reflexive_rewrite(X0,b)
| rewrite(X0,sK2(X0,b))
| equalish(X0,b) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_318,plain,
( ~ transitive_reflexive_rewrite(X0,b)
| transitive_reflexive_rewrite(sK2(X0,b),b)
| equalish(X0,b) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_319,plain,
( ~ transitive_reflexive_rewrite(a,b)
| transitive_reflexive_rewrite(sK2(a,b),b)
| equalish(a,b) ),
inference(instantiation,[status(thm)],[c_318]) ).
cnf(c_320,plain,
( ~ transitive_reflexive_rewrite(a,b)
| rewrite(a,sK2(a,b))
| equalish(a,b) ),
inference(instantiation,[status(thm)],[c_317]) ).
cnf(c_335,plain,
( ~ transitive_reflexive_rewrite(X0,b)
| ~ transitive_reflexive_rewrite(c,X0)
| transitive_reflexive_rewrite(c,b) ),
inference(instantiation,[status(thm)],[c_215]) ).
cnf(c_336,plain,
( ~ transitive_reflexive_rewrite(c,a)
| ~ transitive_reflexive_rewrite(a,b)
| transitive_reflexive_rewrite(c,b) ),
inference(instantiation,[status(thm)],[c_335]) ).
cnf(c_348,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_256]) ).
cnf(c_349,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_255]) ).
cnf(c_354,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_349]) ).
cnf(c_355,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_348]) ).
cnf(c_357,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_60]) ).
cnf(c_358,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_59]) ).
cnf(c_454,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_56]) ).
cnf(c_455,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(b,X0)) ),
inference(instantiation,[status(thm)],[c_357]) ).
cnf(c_524,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(sK0(sK2(a,c),sK2(a,b)),X0)) ),
inference(instantiation,[status(thm)],[c_261]) ).
cnf(c_525,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(sK0(sK2(a,c),sK2(a,b)),X0)) ),
inference(instantiation,[status(thm)],[c_260]) ).
cnf(c_535,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(b,X0)) ),
inference(instantiation,[status(thm)],[c_358]) ).
cnf(c_721,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(sK0(sK2(a,c),sK2(a,b)),c)) ),
inference(instantiation,[status(thm)],[c_525]) ).
cnf(c_739,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(sK0(sK2(a,c),sK2(a,b)),c)) ),
inference(instantiation,[status(thm)],[c_524]) ).
cnf(c_796,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_454]) ).
cnf(c_1289,plain,
( ~ transitive_reflexive_rewrite(sK1(sK0(sK2(a,c),sK2(a,b)),c),X0)
| ~ transitive_reflexive_rewrite(c,sK1(sK0(sK2(a,c),sK2(a,b)),c))
| transitive_reflexive_rewrite(c,X0) ),
inference(instantiation,[status(thm)],[c_215]) ).
cnf(c_1504,plain,
( ~ transitive_reflexive_rewrite(sK0(sK2(a,c),sK2(a,b)),sK1(sK0(sK2(a,c),sK2(a,b)),c))
| ~ transitive_reflexive_rewrite(sK2(a,b),sK0(sK2(a,c),sK2(a,b)))
| transitive_reflexive_rewrite(sK2(a,b),sK1(sK0(sK2(a,c),sK2(a,b)),c)) ),
inference(instantiation,[status(thm)],[c_796]) ).
cnf(c_3595,plain,
( ~ transitive_reflexive_rewrite(sK2(a,b),sK1(sK0(sK2(a,c),sK2(a,b)),c))
| ~ transitive_reflexive_rewrite(sK2(a,b),b)
| ~ rewrite(a,sK2(a,b))
| transitive_reflexive_rewrite(sK1(sK0(sK2(a,c),sK2(a,b)),c),sK1(b,sK1(sK0(sK2(a,c),sK2(a,b)),c))) ),
inference(instantiation,[status(thm)],[c_535]) ).
cnf(c_3601,plain,
( ~ transitive_reflexive_rewrite(sK2(a,b),sK1(sK0(sK2(a,c),sK2(a,b)),c))
| ~ transitive_reflexive_rewrite(sK2(a,b),b)
| ~ rewrite(a,sK2(a,b))
| transitive_reflexive_rewrite(b,sK1(b,sK1(sK0(sK2(a,c),sK2(a,b)),c))) ),
inference(instantiation,[status(thm)],[c_455]) ).
cnf(c_10456,plain,
( ~ transitive_reflexive_rewrite(sK1(sK0(sK2(a,c),sK2(a,b)),c),sK1(b,sK1(sK0(sK2(a,c),sK2(a,b)),c)))
| ~ transitive_reflexive_rewrite(c,sK1(sK0(sK2(a,c),sK2(a,b)),c))
| transitive_reflexive_rewrite(c,sK1(b,sK1(sK0(sK2(a,c),sK2(a,b)),c))) ),
inference(instantiation,[status(thm)],[c_1289]) ).
cnf(c_10472,plain,
( ~ transitive_reflexive_rewrite(c,sK1(b,sK1(sK0(sK2(a,c),sK2(a,b)),c)))
| ~ transitive_reflexive_rewrite(b,sK1(b,sK1(sK0(sK2(a,c),sK2(a,b)),c))) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_10473,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10472,c_10456,c_3595,c_3601,c_1504,c_739,c_721,c_355,c_354,c_336,c_320,c_319,c_312,c_289,c_287,c_286,c_269,c_249,c_236,c_235,c_228,c_219,c_217,c_216,c_212,c_50,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : COM008+1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Aug 29 12:50:31 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.58/1.02 % SZS status Started for theBenchmark.p
% 3.58/1.02 % SZS status Theorem for theBenchmark.p
% 3.58/1.02
% 3.58/1.02 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.58/1.02
% 3.58/1.02 ------ iProver source info
% 3.58/1.02
% 3.58/1.02 git: date: 2023-05-31 18:12:56 +0000
% 3.58/1.02 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.58/1.02 git: non_committed_changes: false
% 3.58/1.02 git: last_make_outside_of_git: false
% 3.58/1.02
% 3.58/1.02 ------ Parsing...
% 3.58/1.02 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.58/1.02
% 3.58/1.02 ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 3.58/1.02
% 3.58/1.02 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.58/1.02 ------ Proving...
% 3.58/1.02 ------ Problem Properties
% 3.58/1.02
% 3.58/1.02
% 3.58/1.02 clauses 14
% 3.58/1.02 conjectures 0
% 3.58/1.02 EPR 8
% 3.58/1.02 Horn 12
% 3.58/1.02 unary 3
% 3.58/1.02 binary 4
% 3.58/1.02 lits 34
% 3.58/1.02 lits eq 0
% 3.58/1.02 fd_pure 0
% 3.58/1.02 fd_pseudo 0
% 3.58/1.02 fd_cond 0
% 3.58/1.02 fd_pseudo_cond 0
% 3.58/1.02 AC symbols 0
% 3.58/1.02
% 3.58/1.02 ------ Schedule dynamic 5 is on
% 3.58/1.02
% 3.58/1.02 ------ no conjectures: strip conj schedule
% 3.58/1.02
% 3.58/1.02 ------ no equalities: superposition off
% 3.58/1.02
% 3.58/1.02 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.58/1.02
% 3.58/1.02
% 3.58/1.02 ------
% 3.58/1.02 Current options:
% 3.58/1.02 ------
% 3.58/1.02
% 3.58/1.02
% 3.58/1.02
% 3.58/1.02
% 3.58/1.02 ------ Proving...
% 3.58/1.02
% 3.58/1.02
% 3.58/1.02 % SZS status Theorem for theBenchmark.p
% 3.58/1.02
% 3.58/1.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.58/1.03
% 4.02/1.03
%------------------------------------------------------------------------------