TSTP Solution File: SET013-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET013-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 : Mon Jun 24 14:32:18 EDT 2024
% Result : Unsatisfiable 7.52s 1.68s
% Output : CNFRefutation 7.52s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ equal_sets(intersection(as,bs),intersection(bs,as)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).
cnf(c_52,plain,
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_axiom1) ).
cnf(c_53,plain,
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_axiom2) ).
cnf(c_59,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_both_is_member_of_intersection) ).
cnf(c_60,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_intersection_is_member_of_set1) ).
cnf(c_61,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_intersection_is_member_of_set2) ).
cnf(c_64,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_sets(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_are_set_equal_sets) ).
cnf(c_398,plain,
intersection(as,bs) = sP0_iProver_def,
definition ).
cnf(c_399,plain,
intersection(bs,as) = sP1_iProver_def,
definition ).
cnf(c_400,negated_conjecture,
~ equal_sets(sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_49,c_399,c_398]) ).
cnf(c_857,plain,
( ~ member(X0,sP0_iProver_def)
| member(X0,as) ),
inference(superposition,[status(thm)],[c_398,c_60]) ).
cnf(c_858,plain,
( ~ member(X0,sP1_iProver_def)
| member(X0,bs) ),
inference(superposition,[status(thm)],[c_399,c_60]) ).
cnf(c_872,plain,
( member(member_of_1_not_of_2(sP0_iProver_def,X0),as)
| subset(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_52,c_857]) ).
cnf(c_880,plain,
( member(member_of_1_not_of_2(sP1_iProver_def,X0),bs)
| subset(sP1_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_52,c_858]) ).
cnf(c_899,plain,
( ~ member(X0,sP0_iProver_def)
| member(X0,bs) ),
inference(superposition,[status(thm)],[c_398,c_61]) ).
cnf(c_900,plain,
( ~ member(X0,sP1_iProver_def)
| member(X0,as) ),
inference(superposition,[status(thm)],[c_399,c_61]) ).
cnf(c_913,plain,
( member(member_of_1_not_of_2(sP0_iProver_def,X0),bs)
| subset(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_52,c_899]) ).
cnf(c_995,plain,
( ~ member(X0,as)
| ~ member(X0,bs)
| member(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_398,c_59]) ).
cnf(c_996,plain,
( ~ member(X0,as)
| ~ member(X0,bs)
| member(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_399,c_59]) ).
cnf(c_1026,plain,
( member(member_of_1_not_of_2(sP1_iProver_def,X0),as)
| subset(sP1_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_52,c_900]) ).
cnf(c_1196,plain,
( ~ member(member_of_1_not_of_2(sP1_iProver_def,X0),as)
| member(member_of_1_not_of_2(sP1_iProver_def,X0),sP0_iProver_def)
| subset(sP1_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_880,c_995]) ).
cnf(c_1221,plain,
( ~ member(member_of_1_not_of_2(sP0_iProver_def,X0),as)
| member(member_of_1_not_of_2(sP0_iProver_def,X0),sP1_iProver_def)
| subset(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_913,c_996]) ).
cnf(c_13097,plain,
( ~ member(X0,sP1_iProver_def)
| member(X0,bs) ),
inference(superposition,[status(thm)],[c_399,c_60]) ).
cnf(c_13115,plain,
( member(member_of_1_not_of_2(sP1_iProver_def,X0),bs)
| subset(sP1_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_52,c_13097]) ).
cnf(c_13130,plain,
( ~ member(X0,sP0_iProver_def)
| member(X0,bs) ),
inference(superposition,[status(thm)],[c_398,c_61]) ).
cnf(c_13300,plain,
( member(member_of_1_not_of_2(sP0_iProver_def,X0),bs)
| subset(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_52,c_13130]) ).
cnf(c_13382,plain,
( ~ member(X0,as)
| ~ member(X0,bs)
| member(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_398,c_59]) ).
cnf(c_13383,plain,
( ~ member(X0,as)
| ~ member(X0,bs)
| member(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_399,c_59]) ).
cnf(c_28388,plain,
( ~ member(member_of_1_not_of_2(sP1_iProver_def,X0),as)
| member(member_of_1_not_of_2(sP1_iProver_def,X0),sP0_iProver_def)
| subset(sP1_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_13115,c_13382]) ).
cnf(c_30064,plain,
( member(member_of_1_not_of_2(sP1_iProver_def,X0),sP0_iProver_def)
| subset(sP1_iProver_def,X0) ),
inference(global_subsumption_just,[status(thm)],[c_28388,c_1026,c_1196]) ).
cnf(c_30072,plain,
subset(sP1_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_30064,c_53]) ).
cnf(c_30238,plain,
( ~ subset(sP0_iProver_def,sP1_iProver_def)
| equal_sets(sP0_iProver_def,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_30072,c_64]) ).
cnf(c_30239,plain,
~ subset(sP0_iProver_def,sP1_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_30238,c_400]) ).
cnf(c_31064,plain,
( ~ member(member_of_1_not_of_2(sP0_iProver_def,X0),as)
| member(member_of_1_not_of_2(sP0_iProver_def,X0),sP1_iProver_def)
| subset(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_13300,c_13383]) ).
cnf(c_32674,plain,
( member(member_of_1_not_of_2(sP0_iProver_def,X0),sP1_iProver_def)
| subset(sP0_iProver_def,X0) ),
inference(global_subsumption_just,[status(thm)],[c_31064,c_872,c_1221]) ).
cnf(c_32682,plain,
subset(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_32674,c_53]) ).
cnf(c_32689,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_32682,c_30239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET013-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n026.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 : Sun Jun 23 14:02:39 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.52/1.68 % SZS status Started for theBenchmark.p
% 7.52/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 7.52/1.68
% 7.52/1.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.52/1.68
% 7.52/1.68 ------ iProver source info
% 7.52/1.68
% 7.52/1.68 git: date: 2024-06-12 09:56:46 +0000
% 7.52/1.68 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.52/1.68 git: non_committed_changes: false
% 7.52/1.68
% 7.52/1.68 ------ Parsing...successful
% 7.52/1.68
% 7.52/1.68
% 7.52/1.68
% 7.52/1.68 ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 7.52/1.68
% 7.52/1.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.52/1.68
% 7.52/1.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.52/1.68 ------ Proving...
% 7.52/1.68 ------ Problem Properties
% 7.52/1.68
% 7.52/1.68
% 7.52/1.68 clauses 21
% 7.52/1.68 conjectures 1
% 7.52/1.68 EPR 9
% 7.52/1.68 Horn 18
% 7.52/1.68 unary 5
% 7.52/1.68 binary 11
% 7.52/1.68 lits 42
% 7.52/1.68 lits eq 2
% 7.52/1.68 fd_pure 0
% 7.52/1.68 fd_pseudo 0
% 7.52/1.68 fd_cond 0
% 7.52/1.68 fd_pseudo_cond 0
% 7.52/1.68 AC symbols 0
% 7.52/1.68
% 7.52/1.68 ------ Schedule dynamic 5 is on
% 7.52/1.68
% 7.52/1.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.52/1.68
% 7.52/1.68
% 7.52/1.68 ------
% 7.52/1.68 Current options:
% 7.52/1.68 ------
% 7.52/1.68
% 7.52/1.68
% 7.52/1.68
% 7.52/1.68
% 7.52/1.68 ------ Proving...
% 7.52/1.68
% 7.52/1.68
% 7.52/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 7.52/1.68
% 7.52/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.52/1.69
% 7.52/1.69
%------------------------------------------------------------------------------