TSTP Solution File: SET009-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 2.33s 1.17s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 23 ( 7 unt; 5 nHn; 22 RR)
% Number of literals : 57 ( 0 equ; 34 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
subset(d,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_is_a_subset_of_a) ).
cnf(c_50,plain,
difference(b,a,bDa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_minus_a) ).
cnf(c_51,plain,
difference(b,d,bDd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_minus_d) ).
cnf(c_52,negated_conjecture,
~ subset(bDa,bDd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_bDa_is_a_subset_of_bDd) ).
cnf(c_53,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_54,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_55,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_59,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',membership_in_subsets) ).
cnf(c_60,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_61,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_177,plain,
~ member(member_of_1_not_of_2(bDa,bDd),bDd),
inference(resolution,[status(thm)],[c_52,c_61]) ).
cnf(c_181,plain,
member(member_of_1_not_of_2(bDa,bDd),bDa),
inference(resolution,[status(thm)],[c_52,c_60]) ).
cnf(c_789,plain,
( ~ member(member_of_1_not_of_2(bDa,bDd),bDa)
| ~ difference(X0,X1,bDa)
| member(member_of_1_not_of_2(bDa,bDd),X0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_798,plain,
( ~ member(member_of_1_not_of_2(bDa,bDd),X0)
| ~ difference(X0,X1,X2)
| member(member_of_1_not_of_2(bDa,bDd),X1)
| member(member_of_1_not_of_2(bDa,bDd),X2) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_799,plain,
( ~ member(member_of_1_not_of_2(bDa,bDd),X0)
| ~ member(member_of_1_not_of_2(bDa,bDd),X1)
| ~ difference(X2,X0,X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_801,plain,
( ~ member(member_of_1_not_of_2(bDa,bDd),X0)
| ~ subset(X0,X1)
| member(member_of_1_not_of_2(bDa,bDd),X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_815,plain,
( ~ member(member_of_1_not_of_2(bDa,bDd),bDa)
| ~ difference(b,a,bDa)
| member(member_of_1_not_of_2(bDa,bDd),b) ),
inference(instantiation,[status(thm)],[c_789]) ).
cnf(c_876,plain,
( ~ member(member_of_1_not_of_2(bDa,bDd),a)
| ~ member(member_of_1_not_of_2(bDa,bDd),bDa)
| ~ difference(b,a,bDa) ),
inference(instantiation,[status(thm)],[c_799]) ).
cnf(c_1081,plain,
( ~ member(member_of_1_not_of_2(bDa,bDd),b)
| ~ difference(b,X0,X1)
| member(member_of_1_not_of_2(bDa,bDd),X0)
| member(member_of_1_not_of_2(bDa,bDd),X1) ),
inference(instantiation,[status(thm)],[c_798]) ).
cnf(c_1785,plain,
( ~ member(member_of_1_not_of_2(bDa,bDd),b)
| ~ difference(b,d,bDd)
| member(member_of_1_not_of_2(bDa,bDd),d)
| member(member_of_1_not_of_2(bDa,bDd),bDd) ),
inference(instantiation,[status(thm)],[c_1081]) ).
cnf(c_3477,plain,
( ~ member(member_of_1_not_of_2(bDa,bDd),d)
| ~ subset(d,X0)
| member(member_of_1_not_of_2(bDa,bDd),X0) ),
inference(instantiation,[status(thm)],[c_801]) ).
cnf(c_3482,plain,
( ~ member(member_of_1_not_of_2(bDa,bDd),d)
| ~ subset(d,a)
| member(member_of_1_not_of_2(bDa,bDd),a) ),
inference(instantiation,[status(thm)],[c_3477]) ).
cnf(c_3483,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3482,c_1785,c_876,c_815,c_181,c_177,c_50,c_51,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n008.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 11:28:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.33/1.17 % SZS status Started for theBenchmark.p
% 2.33/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.33/1.17
% 2.33/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.33/1.17
% 2.33/1.17 ------ iProver source info
% 2.33/1.17
% 2.33/1.17 git: date: 2023-05-31 18:12:56 +0000
% 2.33/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.33/1.17 git: non_committed_changes: false
% 2.33/1.17 git: last_make_outside_of_git: false
% 2.33/1.17
% 2.33/1.17 ------ Parsing...successful
% 2.33/1.17
% 2.33/1.17
% 2.33/1.17
% 2.33/1.17 ------ 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
% 2.33/1.17
% 2.33/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.33/1.17 ------ Proving...
% 2.33/1.17 ------ Problem Properties
% 2.33/1.17
% 2.33/1.17
% 2.33/1.17 clauses 13
% 2.33/1.17 conjectures 1
% 2.33/1.17 EPR 8
% 2.33/1.17 Horn 8
% 2.33/1.17 unary 4
% 2.33/1.17 binary 2
% 2.33/1.17 lits 31
% 2.33/1.17 lits eq 0
% 2.33/1.17 fd_pure 0
% 2.33/1.17 fd_pseudo 0
% 2.33/1.17 fd_cond 0
% 2.33/1.17 fd_pseudo_cond 0
% 2.33/1.17 AC symbols 0
% 2.33/1.17
% 2.33/1.17 ------ Schedule dynamic 5 is on
% 2.33/1.17
% 2.33/1.17 ------ no equalities: superposition off
% 2.33/1.17
% 2.33/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.33/1.17
% 2.33/1.17
% 2.33/1.17 ------
% 2.33/1.17 Current options:
% 2.33/1.17 ------
% 2.33/1.17
% 2.33/1.17
% 2.33/1.17
% 2.33/1.17
% 2.33/1.17 ------ Proving...
% 2.33/1.17
% 2.33/1.17
% 2.33/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.33/1.17
% 2.33/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.33/1.17
% 2.33/1.17
%------------------------------------------------------------------------------