TSTP Solution File: COM007+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COM007+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 : Fri May 3 02:10:24 EDT 2024
% Result : Theorem 0.46s 1.15s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 84 ( 15 unt; 0 def)
% Number of atoms : 197 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 208 ( 95 ~; 95 |; 10 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn 64 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( reflexive_rewrite(a,c)
& reflexive_rewrite(a,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption) ).
fof(f2,axiom,
! [X0] :
( ( reflexive_rewrite(c,X0)
& reflexive_rewrite(b,X0) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_ax) ).
fof(f3,axiom,
! [X0] : equalish(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(X0,X1)
=> equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmtery) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( reflexive_rewrite(X1,X2)
& equalish(X0,X1) )
=> reflexive_rewrite(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution) ).
fof(f6,axiom,
! [X0,X1] :
( equalish(X0,X1)
=> reflexive_rewrite(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equalish_in_reflexive_rewrite) ).
fof(f7,axiom,
! [X0,X1] :
( rewrite(X0,X1)
=> reflexive_rewrite(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_in_reflexive_rewrite) ).
fof(f8,axiom,
! [X0,X1] :
( reflexive_rewrite(X0,X1)
=> ( rewrite(X0,X1)
| equalish(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equalish_or_rewrite) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( rewrite(X0,X2)
& rewrite(X0,X1) )
=> ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_diamond) ).
fof(f10,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f11,negated_conjecture,
~ goal,
inference(negated_conjecture,[],[f10]) ).
fof(f12,plain,
~ goal,
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0] :
( goal
| ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f14,plain,
! [X0] :
( goal
| ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f16,plain,
! [X0,X1,X2] :
( reflexive_rewrite(X0,X2)
| ~ reflexive_rewrite(X1,X2)
| ~ equalish(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f17,plain,
! [X0,X1,X2] :
( reflexive_rewrite(X0,X2)
| ~ reflexive_rewrite(X1,X2)
| ~ equalish(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( reflexive_rewrite(X0,X1)
| ~ equalish(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f19,plain,
! [X0,X1] :
( reflexive_rewrite(X0,X1)
| ~ rewrite(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f20,plain,
! [X0,X1] :
( rewrite(X0,X1)
| equalish(X0,X1)
| ~ reflexive_rewrite(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f21,plain,
! [X0,X1] :
( rewrite(X0,X1)
| equalish(X0,X1)
| ~ reflexive_rewrite(X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
! [X1,X2] :
( ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) )
=> ( rewrite(X2,sK0(X1,X2))
& rewrite(X1,sK0(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( rewrite(X2,sK0(X1,X2))
& rewrite(X1,sK0(X1,X2)) )
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f24]) ).
fof(f26,plain,
reflexive_rewrite(a,b),
inference(cnf_transformation,[],[f1]) ).
fof(f27,plain,
reflexive_rewrite(a,c),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0] :
( goal
| ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
! [X0] : equalish(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f31,plain,
! [X2,X0,X1] :
( reflexive_rewrite(X0,X2)
| ~ reflexive_rewrite(X1,X2)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0,X1] :
( reflexive_rewrite(X0,X1)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
! [X0,X1] :
( reflexive_rewrite(X0,X1)
| ~ rewrite(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f34,plain,
! [X0,X1] :
( rewrite(X0,X1)
| equalish(X0,X1)
| ~ reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f35,plain,
! [X2,X0,X1] :
( rewrite(X1,sK0(X1,X2))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f36,plain,
! [X2,X0,X1] :
( rewrite(X2,sK0(X1,X2))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f37,plain,
~ goal,
inference(cnf_transformation,[],[f12]) ).
cnf(c_49,plain,
reflexive_rewrite(a,c),
inference(cnf_transformation,[],[f27]) ).
cnf(c_50,plain,
reflexive_rewrite(a,b),
inference(cnf_transformation,[],[f26]) ).
cnf(c_51,plain,
( ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0)
| goal ),
inference(cnf_transformation,[],[f28]) ).
cnf(c_52,plain,
equalish(X0,X0),
inference(cnf_transformation,[],[f29]) ).
cnf(c_53,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
cnf(c_54,plain,
( ~ reflexive_rewrite(X0,X1)
| ~ equalish(X2,X0)
| reflexive_rewrite(X2,X1) ),
inference(cnf_transformation,[],[f31]) ).
cnf(c_55,plain,
( ~ equalish(X0,X1)
| reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
cnf(c_56,plain,
( ~ rewrite(X0,X1)
| reflexive_rewrite(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_57,plain,
( ~ reflexive_rewrite(X0,X1)
| equalish(X0,X1)
| rewrite(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_58,plain,
( ~ rewrite(X0,X1)
| ~ rewrite(X0,X2)
| rewrite(X2,sK0(X1,X2)) ),
inference(cnf_transformation,[],[f36]) ).
cnf(c_59,plain,
( ~ rewrite(X0,X1)
| ~ rewrite(X0,X2)
| rewrite(X1,sK0(X1,X2)) ),
inference(cnf_transformation,[],[f35]) ).
cnf(c_60,negated_conjecture,
~ goal,
inference(cnf_transformation,[],[f37]) ).
cnf(c_66,plain,
( ~ reflexive_rewrite(b,X0)
| ~ reflexive_rewrite(c,X0) ),
inference(global_subsumption_just,[status(thm)],[c_51,c_60,c_51]) ).
cnf(c_67,plain,
( ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) ),
inference(renaming,[status(thm)],[c_66]) ).
cnf(c_163,plain,
( ~ equalish(c,X0)
| reflexive_rewrite(c,X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_165,plain,
( ~ rewrite(c,X0)
| reflexive_rewrite(c,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_167,plain,
( ~ reflexive_rewrite(X0,X1)
| ~ equalish(c,X0)
| reflexive_rewrite(c,X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_168,plain,
( ~ equalish(c,c)
| reflexive_rewrite(c,c) ),
inference(instantiation,[status(thm)],[c_163]) ).
cnf(c_169,plain,
equalish(c,c),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_170,plain,
( ~ equalish(X0,c)
| equalish(c,X0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_171,plain,
( ~ equalish(a,c)
| equalish(c,a) ),
inference(instantiation,[status(thm)],[c_170]) ).
cnf(c_177,plain,
( ~ reflexive_rewrite(c,c)
| ~ reflexive_rewrite(b,c) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_183,plain,
( ~ reflexive_rewrite(X0,c)
| equalish(X0,c)
| rewrite(X0,c) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_184,plain,
( ~ reflexive_rewrite(a,c)
| equalish(a,c)
| rewrite(a,c) ),
inference(instantiation,[status(thm)],[c_183]) ).
cnf(c_192,plain,
( ~ reflexive_rewrite(X0,c)
| ~ equalish(b,X0)
| reflexive_rewrite(b,c) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_193,plain,
( ~ reflexive_rewrite(a,c)
| ~ equalish(b,a)
| reflexive_rewrite(b,c) ),
inference(instantiation,[status(thm)],[c_192]) ).
cnf(c_194,plain,
( ~ rewrite(b,X0)
| reflexive_rewrite(b,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_195,plain,
( ~ equalish(b,X0)
| reflexive_rewrite(b,X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_204,plain,
( ~ equalish(X0,b)
| equalish(b,X0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_205,plain,
( ~ equalish(a,b)
| equalish(b,a) ),
inference(instantiation,[status(thm)],[c_204]) ).
cnf(c_209,plain,
( ~ equalish(b,b)
| reflexive_rewrite(b,b) ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_210,plain,
equalish(b,b),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_227,plain,
( ~ reflexive_rewrite(c,b)
| ~ reflexive_rewrite(b,b) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_234,plain,
( ~ reflexive_rewrite(X0,b)
| equalish(X0,b)
| rewrite(X0,b) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_235,plain,
( ~ reflexive_rewrite(a,b)
| equalish(a,b)
| rewrite(a,b) ),
inference(instantiation,[status(thm)],[c_234]) ).
cnf(c_255,plain,
( ~ reflexive_rewrite(X0,b)
| ~ equalish(c,X0)
| reflexive_rewrite(c,b) ),
inference(instantiation,[status(thm)],[c_167]) ).
cnf(c_256,plain,
( ~ reflexive_rewrite(a,b)
| ~ equalish(c,a)
| reflexive_rewrite(c,b) ),
inference(instantiation,[status(thm)],[c_255]) ).
cnf(c_262,plain,
( ~ rewrite(X0,X1)
| ~ rewrite(X0,b)
| rewrite(b,sK0(b,X1)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_263,plain,
( ~ rewrite(X0,X1)
| ~ rewrite(X0,b)
| rewrite(X1,sK0(b,X1)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_311,plain,
( ~ rewrite(X0,c)
| ~ rewrite(X0,b)
| rewrite(b,sK0(b,c)) ),
inference(instantiation,[status(thm)],[c_262]) ).
cnf(c_312,plain,
( ~ rewrite(a,c)
| ~ rewrite(a,b)
| rewrite(b,sK0(b,c)) ),
inference(instantiation,[status(thm)],[c_311]) ).
cnf(c_315,plain,
( ~ rewrite(X0,c)
| ~ rewrite(X0,b)
| rewrite(c,sK0(b,c)) ),
inference(instantiation,[status(thm)],[c_263]) ).
cnf(c_316,plain,
( ~ rewrite(a,c)
| ~ rewrite(a,b)
| rewrite(c,sK0(b,c)) ),
inference(instantiation,[status(thm)],[c_315]) ).
cnf(c_331,plain,
( ~ rewrite(b,sK0(b,c))
| reflexive_rewrite(b,sK0(b,c)) ),
inference(instantiation,[status(thm)],[c_194]) ).
cnf(c_355,plain,
( ~ rewrite(c,sK0(b,c))
| reflexive_rewrite(c,sK0(b,c)) ),
inference(instantiation,[status(thm)],[c_165]) ).
cnf(c_540,plain,
( ~ reflexive_rewrite(c,sK0(b,c))
| ~ reflexive_rewrite(b,sK0(b,c)) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_541,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_540,c_355,c_331,c_316,c_312,c_256,c_235,c_227,c_210,c_209,c_205,c_193,c_184,c_177,c_171,c_169,c_168,c_49,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COM007+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 00:40:20 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.46/1.15 % SZS status Started for theBenchmark.p
% 0.46/1.15 % SZS status Theorem for theBenchmark.p
% 0.46/1.15
% 0.46/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.15
% 0.46/1.15 ------ iProver source info
% 0.46/1.15
% 0.46/1.15 git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.15 git: non_committed_changes: false
% 0.46/1.15
% 0.46/1.15 ------ Parsing...
% 0.46/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.15 ------ Proving...
% 0.46/1.15 ------ Problem Properties
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 clauses 11
% 0.46/1.15 conjectures 0
% 0.46/1.15 EPR 9
% 0.46/1.15 Horn 10
% 0.46/1.15 unary 3
% 0.46/1.15 binary 4
% 0.46/1.15 lits 23
% 0.46/1.15 lits eq 0
% 0.46/1.15 fd_pure 0
% 0.46/1.15 fd_pseudo 0
% 0.46/1.15 fd_cond 0
% 0.46/1.15 fd_pseudo_cond 0
% 0.46/1.15 AC symbols 0
% 0.46/1.15
% 0.46/1.15 ------ Schedule dynamic 5 is on
% 0.46/1.15
% 0.46/1.15 ------ no conjectures: strip conj schedule
% 0.46/1.15
% 0.46/1.15 ------ no equalities: superposition off
% 0.46/1.15
% 0.46/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------
% 0.46/1.15 Current options:
% 0.46/1.15 ------
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------ Proving...
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 % SZS status Theorem for theBenchmark.p
% 0.46/1.15
% 0.46/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.15
% 0.46/1.15
%------------------------------------------------------------------------------