TSTP Solution File: SET010-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET010-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 : Thu Aug 31 15:05:22 EDT 2023
% Result : Unsatisfiable 7.11s 1.67s
% Output : CNFRefutation 7.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of clauses : 68 ( 9 unt; 27 nHn; 59 RR)
% Number of literals : 177 ( 0 equ; 86 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 79 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
intersection(a,b,aIb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_b) ).
cnf(c_50,plain,
difference(c,a,cDa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_minus_a) ).
cnf(c_51,plain,
difference(c,b,cDb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_minus_b) ).
cnf(c_52,plain,
difference(c,aIb,cD_aIb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_minus_aIb) ).
cnf(c_53,negated_conjecture,
~ union(cDa,cDb,cD_aIb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cDa_union_cDb_is_cD_aIb) ).
cnf(c_54,plain,
( ~ difference(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-3.ax',member_of_difference) ).
cnf(c_55,plain,
( ~ difference(X0,X1,X2)
| ~ member(X3,X1)
| ~ member(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-3.ax',not_member_of_difference) ).
cnf(c_56,plain,
( ~ difference(X0,X1,X2)
| ~ member(X3,X0)
| member(X3,X1)
| member(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-3.ax',member_of_difference_or_set2) ).
cnf(c_60,plain,
( ~ intersection(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',member_of_intersection_is_member_of_set1) ).
cnf(c_61,plain,
( ~ intersection(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',member_of_intersection_is_member_of_set2) ).
cnf(c_62,plain,
( ~ intersection(X0,X1,X2)
| ~ member(X3,X0)
| ~ member(X3,X1)
| member(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',member_of_both_is_member_of_intersection) ).
cnf(c_69,plain,
( member(g(X0,X1,X2),X0)
| member(g(X0,X1,X2),X1)
| member(g(X0,X1,X2),X2)
| union(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-1.ax',union_axiom1) ).
cnf(c_70,plain,
( ~ member(g(X0,X1,X2),X0)
| ~ member(g(X0,X1,X2),X2)
| union(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-1.ax',union_axiom2) ).
cnf(c_71,plain,
( ~ member(g(X0,X1,X2),X1)
| ~ member(g(X0,X1,X2),X2)
| union(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-1.ax',union_axiom3) ).
cnf(c_72,plain,
( ~ member(X0,X1)
| ~ subset(X1,X2)
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',membership_in_subsets) ).
cnf(c_73,plain,
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',subsets_axiom1) ).
cnf(c_74,plain,
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',subsets_axiom2) ).
cnf(c_620,plain,
( ~ member(g(cDa,cDb,cD_aIb),cDb)
| ~ member(g(cDa,cDb,cD_aIb),cD_aIb) ),
inference(resolution,[status(thm)],[c_53,c_71]) ).
cnf(c_627,plain,
( ~ member(g(cDa,cDb,cD_aIb),cDa)
| ~ member(g(cDa,cDb,cD_aIb),cD_aIb) ),
inference(resolution,[status(thm)],[c_53,c_70]) ).
cnf(c_634,plain,
( member(g(cDa,cDb,cD_aIb),cDa)
| member(g(cDa,cDb,cD_aIb),cDb)
| member(g(cDa,cDb,cD_aIb),cD_aIb) ),
inference(resolution,[status(thm)],[c_53,c_69]) ).
cnf(c_1848,plain,
( ~ member(g(cDa,cDb,cD_aIb),cDb)
| ~ subset(cDb,X0)
| member(g(cDa,cDb,cD_aIb),X0) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_1854,plain,
( ~ member(g(cDa,cDb,cD_aIb),X0)
| ~ member(g(cDa,cDb,cD_aIb),X1)
| ~ intersection(X0,X1,X2)
| member(g(cDa,cDb,cD_aIb),X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_1855,plain,
( ~ member(g(cDa,cDb,cD_aIb),X0)
| ~ difference(X0,X1,X2)
| member(g(cDa,cDb,cD_aIb),X1)
| member(g(cDa,cDb,cD_aIb),X2) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_1857,plain,
( ~ member(g(cDa,cDb,cD_aIb),X0)
| ~ member(g(cDa,cDb,cD_aIb),X1)
| ~ difference(X2,X0,X1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_1860,plain,
( ~ member(g(cDa,cDb,cD_aIb),X0)
| ~ subset(X0,X1)
| member(g(cDa,cDb,cD_aIb),X1) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_1861,plain,
( ~ member(g(cDa,cDb,cD_aIb),cDb)
| ~ subset(cDb,cD_aIb)
| member(g(cDa,cDb,cD_aIb),cD_aIb) ),
inference(instantiation,[status(thm)],[c_1848]) ).
cnf(c_1906,plain,
( member(member_of_1_not_of_2(cDb,X0),cDb)
| subset(cDb,X0) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_1961,plain,
( member(member_of_1_not_of_2(cDb,cD_aIb),cDb)
| subset(cDb,cD_aIb) ),
inference(instantiation,[status(thm)],[c_1906]) ).
cnf(c_1965,plain,
( ~ member(g(cDa,cDb,cD_aIb),cD_aIb)
| ~ subset(cD_aIb,X0)
| member(g(cDa,cDb,cD_aIb),X0) ),
inference(instantiation,[status(thm)],[c_1860]) ).
cnf(c_1966,plain,
( ~ member(g(cDa,cDb,cD_aIb),cD_aIb)
| ~ subset(cD_aIb,c)
| member(g(cDa,cDb,cD_aIb),c) ),
inference(instantiation,[status(thm)],[c_1965]) ).
cnf(c_2055,plain,
( ~ member(g(cDa,cDb,cD_aIb),cDa)
| ~ subset(cDa,X0)
| member(g(cDa,cDb,cD_aIb),X0) ),
inference(instantiation,[status(thm)],[c_1860]) ).
cnf(c_2150,plain,
( member(member_of_1_not_of_2(cDa,X0),cDa)
| subset(cDa,X0) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_2180,plain,
( ~ member(X0,cDa)
| member(X0,c) ),
inference(superposition,[status(thm)],[c_50,c_54]) ).
cnf(c_2182,plain,
( ~ member(X0,cD_aIb)
| member(X0,c) ),
inference(superposition,[status(thm)],[c_52,c_54]) ).
cnf(c_2319,plain,
( member(member_of_1_not_of_2(cDa,X0),c)
| subset(cDa,X0) ),
inference(superposition,[status(thm)],[c_73,c_2180]) ).
cnf(c_2366,plain,
( member(member_of_1_not_of_2(cD_aIb,X0),c)
| subset(cD_aIb,X0) ),
inference(superposition,[status(thm)],[c_73,c_2182]) ).
cnf(c_2719,plain,
subset(cD_aIb,c),
inference(superposition,[status(thm)],[c_2366,c_74]) ).
cnf(c_2883,plain,
( ~ member(X0,c)
| member(X0,aIb)
| member(X0,cD_aIb) ),
inference(superposition,[status(thm)],[c_52,c_56]) ).
cnf(c_2963,plain,
( ~ member(g(cDa,cDb,cD_aIb),cDa)
| ~ subset(cDa,cD_aIb)
| member(g(cDa,cDb,cD_aIb),cD_aIb) ),
inference(instantiation,[status(thm)],[c_2055]) ).
cnf(c_3453,plain,
( ~ member(g(cDa,cDb,cD_aIb),aIb)
| ~ member(g(cDa,cDb,cD_aIb),cD_aIb)
| ~ difference(c,aIb,cD_aIb) ),
inference(instantiation,[status(thm)],[c_1857]) ).
cnf(c_5280,plain,
( ~ member(g(cDa,cDb,cD_aIb),X0)
| ~ difference(X0,a,X1)
| member(g(cDa,cDb,cD_aIb),X1)
| member(g(cDa,cDb,cD_aIb),a) ),
inference(instantiation,[status(thm)],[c_1855]) ).
cnf(c_5576,plain,
( ~ member(g(cDa,cDb,cD_aIb),X0)
| ~ difference(X0,b,X1)
| member(g(cDa,cDb,cD_aIb),X1)
| member(g(cDa,cDb,cD_aIb),b) ),
inference(instantiation,[status(thm)],[c_1855]) ).
cnf(c_5704,plain,
( ~ member(g(cDa,cDb,cD_aIb),X0)
| ~ member(g(cDa,cDb,cD_aIb),X1)
| ~ intersection(X0,X1,aIb)
| member(g(cDa,cDb,cD_aIb),aIb) ),
inference(instantiation,[status(thm)],[c_1854]) ).
cnf(c_7477,plain,
( member(member_of_1_not_of_2(cDa,X0),aIb)
| member(member_of_1_not_of_2(cDa,X0),cD_aIb)
| subset(cDa,X0) ),
inference(superposition,[status(thm)],[c_2319,c_2883]) ).
cnf(c_12624,plain,
( ~ member(X0,cDb)
| member(X0,c) ),
inference(superposition,[status(thm)],[c_51,c_54]) ).
cnf(c_12638,plain,
( ~ member(X0,aIb)
| member(X0,a) ),
inference(superposition,[status(thm)],[c_49,c_60]) ).
cnf(c_12647,plain,
( ~ member(X0,aIb)
| member(X0,b) ),
inference(superposition,[status(thm)],[c_49,c_61]) ).
cnf(c_12671,plain,
( member(member_of_1_not_of_2(cDa,cD_aIb),aIb)
| subset(cDa,cD_aIb) ),
inference(superposition,[status(thm)],[c_7477,c_74]) ).
cnf(c_12701,plain,
( member(member_of_1_not_of_2(cDb,X0),c)
| subset(cDb,X0) ),
inference(superposition,[status(thm)],[c_73,c_12624]) ).
cnf(c_12740,plain,
( ~ subset(aIb,X0)
| member(member_of_1_not_of_2(cDa,cD_aIb),X0)
| subset(cDa,cD_aIb) ),
inference(superposition,[status(thm)],[c_12671,c_72]) ).
cnf(c_12742,plain,
( member(member_of_1_not_of_2(cDa,cD_aIb),a)
| subset(cDa,cD_aIb) ),
inference(superposition,[status(thm)],[c_12671,c_12638]) ).
cnf(c_12774,plain,
( ~ member(X0,a)
| ~ member(X0,cDa) ),
inference(superposition,[status(thm)],[c_50,c_55]) ).
cnf(c_12793,plain,
( ~ member(X0,c)
| member(X0,aIb)
| member(X0,cD_aIb) ),
inference(superposition,[status(thm)],[c_52,c_56]) ).
cnf(c_13446,plain,
( ~ member(member_of_1_not_of_2(cDa,cD_aIb),cDa)
| subset(cDa,cD_aIb) ),
inference(superposition,[status(thm)],[c_12742,c_12774]) ).
cnf(c_16200,plain,
( member(member_of_1_not_of_2(cDb,X0),aIb)
| member(member_of_1_not_of_2(cDb,X0),cD_aIb)
| subset(cDb,X0) ),
inference(superposition,[status(thm)],[c_12701,c_12793]) ).
cnf(c_17234,plain,
( ~ difference(c,b,cDb)
| ~ member(X0,b)
| ~ member(X0,cDb) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_22359,plain,
( ~ member(g(cDa,cDb,cD_aIb),a)
| ~ member(g(cDa,cDb,cD_aIb),b)
| ~ intersection(a,b,aIb)
| member(g(cDa,cDb,cD_aIb),aIb) ),
inference(instantiation,[status(thm)],[c_5704]) ).
cnf(c_22763,plain,
( ~ member(g(cDa,cDb,cD_aIb),X0)
| ~ difference(X0,b,cDb)
| member(g(cDa,cDb,cD_aIb),b)
| member(g(cDa,cDb,cD_aIb),cDb) ),
inference(instantiation,[status(thm)],[c_5576]) ).
cnf(c_22789,plain,
( ~ member(g(cDa,cDb,cD_aIb),c)
| ~ difference(c,b,cDb)
| member(g(cDa,cDb,cD_aIb),b)
| member(g(cDa,cDb,cD_aIb),cDb) ),
inference(instantiation,[status(thm)],[c_22763]) ).
cnf(c_28150,plain,
( ~ member(member_of_1_not_of_2(cDb,cD_aIb),b)
| ~ member(member_of_1_not_of_2(cDb,cD_aIb),cDb)
| ~ difference(c,b,cDb) ),
inference(instantiation,[status(thm)],[c_17234]) ).
cnf(c_30238,plain,
( member(member_of_1_not_of_2(cDa,cD_aIb),cDa)
| subset(cDa,cD_aIb) ),
inference(instantiation,[status(thm)],[c_2150]) ).
cnf(c_35136,plain,
( member(member_of_1_not_of_2(cDb,cD_aIb),aIb)
| subset(cDb,cD_aIb) ),
inference(superposition,[status(thm)],[c_16200,c_74]) ).
cnf(c_37041,plain,
( member(member_of_1_not_of_2(cDb,cD_aIb),b)
| subset(cDb,cD_aIb) ),
inference(superposition,[status(thm)],[c_35136,c_12647]) ).
cnf(c_39789,plain,
subset(cDa,cD_aIb),
inference(global_subsumption_just,[status(thm)],[c_12740,c_13446,c_30238]) ).
cnf(c_41063,plain,
subset(cDb,cD_aIb),
inference(global_subsumption_just,[status(thm)],[c_37041,c_51,c_1961,c_28150,c_37041]) ).
cnf(c_43501,plain,
( ~ member(g(cDa,cDb,cD_aIb),X0)
| ~ difference(X0,a,cDa)
| member(g(cDa,cDb,cD_aIb),a)
| member(g(cDa,cDb,cD_aIb),cDa) ),
inference(instantiation,[status(thm)],[c_5280]) ).
cnf(c_43502,plain,
( ~ member(g(cDa,cDb,cD_aIb),c)
| ~ difference(c,a,cDa)
| member(g(cDa,cDb,cD_aIb),a)
| member(g(cDa,cDb,cD_aIb),cDa) ),
inference(instantiation,[status(thm)],[c_43501]) ).
cnf(c_43932,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_43502,c_41063,c_39789,c_22789,c_22359,c_3453,c_2963,c_2719,c_1966,c_1861,c_634,c_627,c_620,c_49,c_50,c_51,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 12:45:28 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.11/1.67 % SZS status Started for theBenchmark.p
% 7.11/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 7.11/1.67
% 7.11/1.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.11/1.67
% 7.11/1.67 ------ iProver source info
% 7.11/1.67
% 7.11/1.67 git: date: 2023-05-31 18:12:56 +0000
% 7.11/1.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.11/1.67 git: non_committed_changes: false
% 7.11/1.67 git: last_make_outside_of_git: false
% 7.11/1.67
% 7.11/1.67 ------ Parsing...successful
% 7.11/1.67
% 7.11/1.67
% 7.11/1.67
% 7.11/1.67 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 7.11/1.67
% 7.11/1.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.11/1.67 ------ Proving...
% 7.11/1.67 ------ Problem Properties
% 7.11/1.67
% 7.11/1.67
% 7.11/1.67 clauses 26
% 7.11/1.67 conjectures 1
% 7.11/1.67 EPR 15
% 7.11/1.67 Horn 17
% 7.11/1.67 unary 5
% 7.11/1.67 binary 2
% 7.11/1.67 lits 72
% 7.11/1.67 lits eq 0
% 7.11/1.67 fd_pure 0
% 7.11/1.67 fd_pseudo 0
% 7.11/1.67 fd_cond 0
% 7.11/1.67 fd_pseudo_cond 0
% 7.11/1.67 AC symbols 0
% 7.11/1.67
% 7.11/1.67 ------ Schedule dynamic 5 is on
% 7.11/1.67
% 7.11/1.67 ------ no equalities: superposition off
% 7.11/1.67
% 7.11/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.11/1.67
% 7.11/1.67
% 7.11/1.67 ------
% 7.11/1.67 Current options:
% 7.11/1.67 ------
% 7.11/1.67
% 7.11/1.67
% 7.11/1.67
% 7.11/1.67
% 7.11/1.67 ------ Proving...
% 7.11/1.67
% 7.11/1.67
% 7.11/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 7.11/1.67
% 7.11/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.11/1.67
% 7.11/1.68
%------------------------------------------------------------------------------