TSTP Solution File: SET007-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 15:05:21 EDT 2023
% Result : Unsatisfiable 3.45s 1.16s
% Output : CNFRefutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 17
% Syntax : Number of clauses : 76 ( 14 unt; 12 nHn; 69 RR)
% Number of literals : 199 ( 0 equ; 111 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 115 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
union(b,c,bUc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_union_c) ).
cnf(c_50,plain,
intersection(a,b,aIb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_b) ).
cnf(c_51,plain,
intersection(a,c,aIc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_c) ).
cnf(c_52,plain,
intersection(a,bUc,aI_bUc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_bUc) ).
cnf(c_53,negated_conjecture,
~ union(aIb,aIc,aI_bUc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_aIb_union_aIc_is_aI_bUc) ).
cnf(c_54,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_55,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_56,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_60,plain,
( ~ union(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X0)
| member(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-1.ax',member_of_union_is_member_of_one_set) ).
cnf(c_61,plain,
( ~ union(X0,X1,X2)
| ~ member(X3,X0)
| member(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-1.ax',member_of_set1_is_member_of_union) ).
cnf(c_62,plain,
( ~ union(X0,X1,X2)
| ~ member(X3,X1)
| member(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-1.ax',member_of_set2_is_member_of_union) ).
cnf(c_63,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_64,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_65,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_66,plain,
( ~ member(X0,X1)
| ~ subset(X1,X2)
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',membership_in_subsets) ).
cnf(c_67,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_68,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_388,plain,
( ~ member(g(aIb,aIc,aI_bUc),aIc)
| ~ member(g(aIb,aIc,aI_bUc),aI_bUc) ),
inference(resolution,[status(thm)],[c_53,c_65]) ).
cnf(c_395,plain,
( ~ member(g(aIb,aIc,aI_bUc),aIb)
| ~ member(g(aIb,aIc,aI_bUc),aI_bUc) ),
inference(resolution,[status(thm)],[c_53,c_64]) ).
cnf(c_402,plain,
( member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),aIc)
| member(g(aIb,aIc,aI_bUc),aI_bUc) ),
inference(resolution,[status(thm)],[c_53,c_63]) ).
cnf(c_1386,plain,
( ~ member(member_of_1_not_of_2(X0_14,X1_14),X1_14)
| subset(X0_14,X1_14) ),
inference(subtyping,[status(esa)],[c_68]) ).
cnf(c_1387,plain,
( member(member_of_1_not_of_2(X0_14,X1_14),X0_14)
| subset(X0_14,X1_14) ),
inference(subtyping,[status(esa)],[c_67]) ).
cnf(c_1388,plain,
( ~ member(X0_13,X0_14)
| ~ subset(X0_14,X1_14)
| member(X0_13,X1_14) ),
inference(subtyping,[status(esa)],[c_66]) ).
cnf(c_1392,plain,
( ~ union(X0_14,X1_14,X2_14)
| ~ member(X0_13,X1_14)
| member(X0_13,X2_14) ),
inference(subtyping,[status(esa)],[c_62]) ).
cnf(c_1393,plain,
( ~ union(X0_14,X1_14,X2_14)
| ~ member(X0_13,X0_14)
| member(X0_13,X2_14) ),
inference(subtyping,[status(esa)],[c_61]) ).
cnf(c_1394,plain,
( ~ union(X0_14,X1_14,X2_14)
| ~ member(X0_13,X2_14)
| member(X0_13,X0_14)
| member(X0_13,X1_14) ),
inference(subtyping,[status(esa)],[c_60]) ).
cnf(c_1398,plain,
( ~ intersection(X0_14,X1_14,X2_14)
| ~ member(X0_13,X0_14)
| ~ member(X0_13,X1_14)
| member(X0_13,X2_14) ),
inference(subtyping,[status(esa)],[c_56]) ).
cnf(c_1399,plain,
( ~ intersection(X0_14,X1_14,X2_14)
| ~ member(X0_13,X2_14)
| member(X0_13,X1_14) ),
inference(subtyping,[status(esa)],[c_55]) ).
cnf(c_1400,plain,
( ~ intersection(X0_14,X1_14,X2_14)
| ~ member(X0_13,X2_14)
| member(X0_13,X0_14) ),
inference(subtyping,[status(esa)],[c_54]) ).
cnf(c_1402,plain,
intersection(a,bUc,aI_bUc),
inference(subtyping,[status(esa)],[c_52]) ).
cnf(c_1403,plain,
intersection(a,c,aIc),
inference(subtyping,[status(esa)],[c_51]) ).
cnf(c_1404,plain,
intersection(a,b,aIb),
inference(subtyping,[status(esa)],[c_50]) ).
cnf(c_1405,plain,
union(b,c,bUc),
inference(subtyping,[status(esa)],[c_49]) ).
cnf(c_1413,plain,
( ~ member(g(aIb,aIc,aI_bUc),aIc)
| ~ subset(aIc,X0_14)
| member(g(aIb,aIc,aI_bUc),X0_14) ),
inference(instantiation,[status(thm)],[c_1388]) ).
cnf(c_1414,plain,
( ~ member(g(aIb,aIc,aI_bUc),aIc)
| ~ subset(aIc,a)
| member(g(aIb,aIc,aI_bUc),a) ),
inference(instantiation,[status(thm)],[c_1413]) ).
cnf(c_1417,plain,
( ~ member(g(aIb,aIc,aI_bUc),aIc)
| ~ intersection(X0_14,X1_14,aIc)
| member(g(aIb,aIc,aI_bUc),X1_14) ),
inference(instantiation,[status(thm)],[c_1399]) ).
cnf(c_1423,plain,
( ~ member(g(aIb,aIc,aI_bUc),X0_14)
| ~ member(g(aIb,aIc,aI_bUc),X1_14)
| ~ intersection(X0_14,X1_14,X2_14)
| member(g(aIb,aIc,aI_bUc),X2_14) ),
inference(instantiation,[status(thm)],[c_1398]) ).
cnf(c_1426,plain,
( ~ member(g(aIb,aIc,aI_bUc),X0_14)
| ~ subset(X0_14,X1_14)
| member(g(aIb,aIc,aI_bUc),X1_14) ),
inference(instantiation,[status(thm)],[c_1388]) ).
cnf(c_1428,plain,
( ~ member(g(aIb,aIc,aI_bUc),X0_14)
| ~ intersection(X1_14,X2_14,X0_14)
| member(g(aIb,aIc,aI_bUc),X2_14) ),
inference(instantiation,[status(thm)],[c_1399]) ).
cnf(c_1451,plain,
( ~ member(g(aIb,aIc,aI_bUc),aIc)
| ~ intersection(a,c,aIc)
| member(g(aIb,aIc,aI_bUc),c) ),
inference(instantiation,[status(thm)],[c_1417]) ).
cnf(c_1477,plain,
( ~ member(g(aIb,aIc,aI_bUc),aI_bUc)
| ~ subset(aI_bUc,X0_14)
| member(g(aIb,aIc,aI_bUc),X0_14) ),
inference(instantiation,[status(thm)],[c_1426]) ).
cnf(c_1478,plain,
( ~ member(g(aIb,aIc,aI_bUc),aI_bUc)
| ~ subset(aI_bUc,a)
| member(g(aIb,aIc,aI_bUc),a) ),
inference(instantiation,[status(thm)],[c_1477]) ).
cnf(c_1516,plain,
( ~ member(X0_13,aI_bUc)
| member(X0_13,bUc) ),
inference(superposition,[status(thm)],[c_1402,c_1399]) ).
cnf(c_1564,plain,
( ~ member(g(aIb,aIc,aI_bUc),aIb)
| ~ intersection(X0_14,X1_14,aIb)
| member(g(aIb,aIc,aI_bUc),X1_14) ),
inference(instantiation,[status(thm)],[c_1428]) ).
cnf(c_1566,plain,
( ~ member(g(aIb,aIc,aI_bUc),aIb)
| ~ subset(aIb,X0_14)
| member(g(aIb,aIc,aI_bUc),X0_14) ),
inference(instantiation,[status(thm)],[c_1426]) ).
cnf(c_1574,plain,
( ~ member(g(aIb,aIc,aI_bUc),aIb)
| ~ subset(aIb,a)
| member(g(aIb,aIc,aI_bUc),a) ),
inference(instantiation,[status(thm)],[c_1566]) ).
cnf(c_1580,plain,
( member(member_of_1_not_of_2(aI_bUc,X0_14),bUc)
| subset(aI_bUc,X0_14) ),
inference(superposition,[status(thm)],[c_1387,c_1516]) ).
cnf(c_1604,plain,
( ~ member(g(aIb,aIc,aI_bUc),aIb)
| ~ intersection(a,b,aIb)
| member(g(aIb,aIc,aI_bUc),b) ),
inference(instantiation,[status(thm)],[c_1564]) ).
cnf(c_1614,plain,
( ~ member(X0_13,aIb)
| member(X0_13,a) ),
inference(superposition,[status(thm)],[c_1404,c_1400]) ).
cnf(c_1615,plain,
( ~ member(X0_13,aIc)
| member(X0_13,a) ),
inference(superposition,[status(thm)],[c_1403,c_1400]) ).
cnf(c_1616,plain,
( ~ member(X0_13,aI_bUc)
| member(X0_13,a) ),
inference(superposition,[status(thm)],[c_1402,c_1400]) ).
cnf(c_1638,plain,
( ~ member(g(aIb,aIc,aI_bUc),X0_14)
| ~ member(g(aIb,aIc,aI_bUc),X1_14)
| ~ intersection(X0_14,X1_14,aIc)
| member(g(aIb,aIc,aI_bUc),aIc) ),
inference(instantiation,[status(thm)],[c_1423]) ).
cnf(c_1677,plain,
( ~ member(X0_13,bUc)
| member(X0_13,b)
| member(X0_13,c) ),
inference(superposition,[status(thm)],[c_1405,c_1394]) ).
cnf(c_1767,plain,
( member(member_of_1_not_of_2(aIb,X0_14),a)
| subset(aIb,X0_14) ),
inference(superposition,[status(thm)],[c_1387,c_1614]) ).
cnf(c_1768,plain,
( member(member_of_1_not_of_2(aIc,X0_14),a)
| subset(aIc,X0_14) ),
inference(superposition,[status(thm)],[c_1387,c_1615]) ).
cnf(c_1774,plain,
( member(member_of_1_not_of_2(aI_bUc,X0_14),a)
| subset(aI_bUc,X0_14) ),
inference(superposition,[status(thm)],[c_1387,c_1616]) ).
cnf(c_1776,plain,
subset(aI_bUc,bUc),
inference(superposition,[status(thm)],[c_1580,c_1386]) ).
cnf(c_1796,plain,
( ~ member(g(aIb,aIc,aI_bUc),X0_14)
| ~ member(g(aIb,aIc,aI_bUc),X1_14)
| ~ intersection(X0_14,X1_14,aIb)
| member(g(aIb,aIc,aI_bUc),aIb) ),
inference(instantiation,[status(thm)],[c_1423]) ).
cnf(c_1927,plain,
subset(aIb,a),
inference(superposition,[status(thm)],[c_1767,c_1386]) ).
cnf(c_1947,plain,
subset(aIc,a),
inference(superposition,[status(thm)],[c_1768,c_1386]) ).
cnf(c_1971,plain,
subset(aI_bUc,a),
inference(superposition,[status(thm)],[c_1774,c_1386]) ).
cnf(c_2362,plain,
( ~ member(g(aIb,aIc,aI_bUc),c)
| ~ member(g(aIb,aIc,aI_bUc),a)
| ~ intersection(a,c,aIc)
| member(g(aIb,aIc,aI_bUc),aIc) ),
inference(instantiation,[status(thm)],[c_1638]) ).
cnf(c_2456,plain,
( ~ member(g(aIb,aIc,aI_bUc),b)
| ~ member(g(aIb,aIc,aI_bUc),a)
| ~ intersection(a,b,aIb)
| member(g(aIb,aIc,aI_bUc),aIb) ),
inference(instantiation,[status(thm)],[c_1796]) ).
cnf(c_3296,plain,
( ~ member(g(aIb,aIc,aI_bUc),aI_bUc)
| ~ subset(aI_bUc,X0_14)
| member(g(aIb,aIc,aI_bUc),X0_14) ),
inference(instantiation,[status(thm)],[c_1388]) ).
cnf(c_3303,plain,
( ~ member(g(aIb,aIc,aI_bUc),X0_14)
| ~ member(g(aIb,aIc,aI_bUc),X1_14)
| ~ intersection(X0_14,X1_14,X2_14)
| member(g(aIb,aIc,aI_bUc),X2_14) ),
inference(instantiation,[status(thm)],[c_1398]) ).
cnf(c_3304,plain,
( ~ member(g(aIb,aIc,aI_bUc),X0_14)
| ~ union(X1_14,X0_14,X2_14)
| member(g(aIb,aIc,aI_bUc),X2_14) ),
inference(instantiation,[status(thm)],[c_1392]) ).
cnf(c_3305,plain,
( ~ member(g(aIb,aIc,aI_bUc),X0_14)
| ~ union(X0_14,X1_14,X2_14)
| member(g(aIb,aIc,aI_bUc),X2_14) ),
inference(instantiation,[status(thm)],[c_1393]) ).
cnf(c_3352,plain,
( ~ member(g(aIb,aIc,aI_bUc),aI_bUc)
| ~ subset(aI_bUc,bUc)
| member(g(aIb,aIc,aI_bUc),bUc) ),
inference(instantiation,[status(thm)],[c_3296]) ).
cnf(c_3428,plain,
( ~ member(g(aIb,aIc,aI_bUc),X0_14)
| ~ member(g(aIb,aIc,aI_bUc),X1_14)
| ~ intersection(X0_14,X1_14,aI_bUc)
| member(g(aIb,aIc,aI_bUc),aI_bUc) ),
inference(instantiation,[status(thm)],[c_3303]) ).
cnf(c_3438,plain,
( ~ member(g(aIb,aIc,aI_bUc),X0_14)
| ~ union(X1_14,X0_14,bUc)
| member(g(aIb,aIc,aI_bUc),bUc) ),
inference(instantiation,[status(thm)],[c_3304]) ).
cnf(c_3452,plain,
( ~ member(g(aIb,aIc,aI_bUc),X0_14)
| ~ union(X0_14,X1_14,bUc)
| member(g(aIb,aIc,aI_bUc),bUc) ),
inference(instantiation,[status(thm)],[c_3305]) ).
cnf(c_3566,plain,
( ~ member(g(aIb,aIc,aI_bUc),bUc)
| member(g(aIb,aIc,aI_bUc),b)
| member(g(aIb,aIc,aI_bUc),c) ),
inference(instantiation,[status(thm)],[c_1677]) ).
cnf(c_3653,plain,
( ~ member(g(aIb,aIc,aI_bUc),bUc)
| ~ member(g(aIb,aIc,aI_bUc),a)
| ~ intersection(a,bUc,aI_bUc)
| member(g(aIb,aIc,aI_bUc),aI_bUc) ),
inference(instantiation,[status(thm)],[c_3428]) ).
cnf(c_3663,plain,
( ~ member(g(aIb,aIc,aI_bUc),c)
| ~ union(b,c,bUc)
| member(g(aIb,aIc,aI_bUc),bUc) ),
inference(instantiation,[status(thm)],[c_3438]) ).
cnf(c_3678,plain,
( ~ member(g(aIb,aIc,aI_bUc),b)
| ~ union(b,c,bUc)
| member(g(aIb,aIc,aI_bUc),bUc) ),
inference(instantiation,[status(thm)],[c_3452]) ).
cnf(c_3682,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3678,c_3663,c_3653,c_3566,c_3352,c_2456,c_2362,c_1971,c_1947,c_1927,c_1776,c_1604,c_1574,c_1478,c_1451,c_1414,c_402,c_395,c_388,c_49,c_50,c_51,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 09:53:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.45/1.16 % SZS status Started for theBenchmark.p
% 3.45/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.45/1.16
% 3.45/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.45/1.16
% 3.45/1.16 ------ iProver source info
% 3.45/1.16
% 3.45/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.45/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.45/1.16 git: non_committed_changes: false
% 3.45/1.16 git: last_make_outside_of_git: false
% 3.45/1.16
% 3.45/1.16 ------ Parsing...successful
% 3.45/1.16
% 3.45/1.16
% 3.45/1.16
% 3.45/1.16 ------ 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
% 3.45/1.16
% 3.45/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.45/1.16 ------ Proving...
% 3.45/1.16 ------ Problem Properties
% 3.45/1.16
% 3.45/1.16
% 3.45/1.16 clauses 20
% 3.45/1.16 conjectures 1
% 3.45/1.16 EPR 12
% 3.45/1.16 Horn 15
% 3.45/1.16 unary 5
% 3.45/1.16 binary 2
% 3.45/1.16 lits 52
% 3.45/1.16 lits eq 0
% 3.45/1.16 fd_pure 0
% 3.45/1.16 fd_pseudo 0
% 3.45/1.16 fd_cond 0
% 3.45/1.16 fd_pseudo_cond 0
% 3.45/1.16 AC symbols 0
% 3.45/1.16
% 3.45/1.16 ------ Input Options Time Limit: Unbounded
% 3.45/1.16
% 3.45/1.16
% 3.45/1.16 ------
% 3.45/1.16 Current options:
% 3.45/1.16 ------
% 3.45/1.16
% 3.45/1.16
% 3.45/1.16
% 3.45/1.16
% 3.45/1.16 ------ Proving...
% 3.45/1.16
% 3.45/1.16
% 3.45/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.45/1.16
% 3.45/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.14/1.16
% 4.14/1.16
%------------------------------------------------------------------------------