TSTP Solution File: NUM094-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM094-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 11:28:34 EDT 2023
% Result : Unsatisfiable 54.35s 8.25s
% Output : CNFRefutation 54.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of clauses : 47 ( 13 unt; 6 nHn; 40 RR)
% Number of literals : 106 ( 8 equ; 58 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 53 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
well_ordering(xr,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sections_property3_1) ).
cnf(c_50,negated_conjecture,
section(xr,w,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sections_property3_2) ).
cnf(c_51,negated_conjecture,
~ member(least(xr,intersection(complement(w),y)),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sections_property3_3) ).
cnf(c_52,negated_conjecture,
y != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sections_property3_4) ).
cnf(c_65,plain,
( ~ well_ordering(X0,X1)
| ~ member(X2,X3)
| ~ subclass(X3,X1)
| member(least(X0,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM004-0.ax',well_ordering3) ).
cnf(c_71,plain,
( ~ section(X0,X1,X2)
| subclass(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM004-0.ax',section1) ).
cnf(c_120,plain,
( ~ member(X0,X1)
| ~ subclass(X1,X2)
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_121,plain,
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(c_122,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(c_123,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_125,plain,
( X0 != X1
| subclass(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).
cnf(c_126,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_141,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(c_142,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(c_144,plain,
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(c_211,plain,
subclass(X0,X0),
inference(unflattening,[status(thm)],[c_125]) ).
cnf(c_378,plain,
( ~ section(X0,X1,X2)
| subclass(X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_71]) ).
cnf(c_2112,plain,
( X0 != xr
| X1 != y
| X2 != w
| subclass(X2,X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_378]) ).
cnf(c_2113,plain,
subclass(w,y),
inference(unflattening,[status(thm)],[c_2112]) ).
cnf(c_6423,plain,
( ~ subclass(y,w)
| ~ subclass(w,y)
| y = w ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_6450,plain,
( ~ member(X0,X1)
| ~ subclass(X1,y)
| ~ well_ordering(xr,y)
| member(least(xr,X1),X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_6469,plain,
( ~ member(not_subclass_element(y,w),w)
| subclass(y,w) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_6470,plain,
( member(not_subclass_element(y,w),y)
| subclass(y,w) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_6646,plain,
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_121,c_141]) ).
cnf(c_7906,plain,
( ~ member(not_subclass_element(y,w),X0)
| ~ member(not_subclass_element(y,w),y)
| member(not_subclass_element(y,w),intersection(X0,y)) ),
inference(instantiation,[status(thm)],[c_142]) ).
cnf(c_7911,plain,
( ~ member(not_subclass_element(y,w),y)
| ~ subclass(y,X0)
| member(not_subclass_element(y,w),X0) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_7912,plain,
( ~ member(not_subclass_element(y,w),y)
| ~ subclass(y,universal_class)
| member(not_subclass_element(y,w),universal_class) ),
inference(instantiation,[status(thm)],[c_7911]) ).
cnf(c_8643,plain,
subclass(y,universal_class),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_12980,plain,
( ~ member(least(xr,intersection(complement(w),y)),intersection(X0,y))
| member(least(xr,intersection(complement(w),y)),y) ),
inference(instantiation,[status(thm)],[c_141]) ).
cnf(c_13937,plain,
( ~ member(not_subclass_element(y,w),universal_class)
| member(not_subclass_element(y,w),complement(w))
| member(not_subclass_element(y,w),w) ),
inference(instantiation,[status(thm)],[c_144]) ).
cnf(c_14712,plain,
( ~ member(least(xr,intersection(complement(w),y)),intersection(complement(w),y))
| member(least(xr,intersection(complement(w),y)),y) ),
inference(instantiation,[status(thm)],[c_12980]) ).
cnf(c_14713,plain,
( ~ member(X0,intersection(complement(w),y))
| ~ subclass(intersection(complement(w),y),y)
| ~ well_ordering(xr,y)
| member(least(xr,intersection(complement(w),y)),intersection(complement(w),y)) ),
inference(instantiation,[status(thm)],[c_6450]) ).
cnf(c_33133,plain,
( ~ member(not_subclass_element(y,w),intersection(complement(w),y))
| ~ subclass(intersection(complement(w),y),y)
| ~ well_ordering(xr,y)
| member(least(xr,intersection(complement(w),y)),intersection(complement(w),y)) ),
inference(instantiation,[status(thm)],[c_14713]) ).
cnf(c_34398,plain,
( ~ member(not_subclass_element(y,w),complement(w))
| ~ member(not_subclass_element(y,w),y)
| member(not_subclass_element(y,w),intersection(complement(w),y)) ),
inference(instantiation,[status(thm)],[c_7906]) ).
cnf(c_57430,plain,
( ~ subclass(y,w)
| y = w ),
inference(superposition,[status(thm)],[c_2113,c_126]) ).
cnf(c_57440,plain,
~ subclass(y,w),
inference(forward_subsumption_resolution,[status(thm)],[c_57430,c_52]) ).
cnf(c_58013,plain,
( ~ member(X0,X1)
| ~ subclass(X1,y)
| member(least(xr,X1),X1) ),
inference(superposition,[status(thm)],[c_49,c_65]) ).
cnf(c_58121,plain,
( ~ subclass(X0,y)
| member(least(xr,X0),X0)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_121,c_58013]) ).
cnf(c_58210,plain,
( ~ subclass(y,y)
| member(least(xr,y),y) ),
inference(superposition,[status(thm)],[c_58121,c_57440]) ).
cnf(c_58296,plain,
member(least(xr,y),y),
inference(forward_subsumption_resolution,[status(thm)],[c_58210,c_211]) ).
cnf(c_58329,plain,
( ~ subclass(y,X0)
| member(least(xr,y),X0) ),
inference(superposition,[status(thm)],[c_58296,c_120]) ).
cnf(c_58825,plain,
( ~ subclass(X0,y)
| ~ subclass(y,X0)
| member(least(xr,X0),X0) ),
inference(superposition,[status(thm)],[c_58329,c_58013]) ).
cnf(c_58922,plain,
( ~ subclass(X0,X1)
| ~ subclass(X0,y)
| ~ subclass(y,X0)
| member(least(xr,X0),X1) ),
inference(superposition,[status(thm)],[c_58825,c_120]) ).
cnf(c_59028,plain,
( ~ subclass(intersection(complement(w),y),y)
| ~ subclass(y,intersection(complement(w),y)) ),
inference(superposition,[status(thm)],[c_58922,c_51]) ).
cnf(c_59075,plain,
~ subclass(intersection(complement(w),y),y),
inference(global_subsumption_just,[status(thm)],[c_59028,c_49,c_52,c_51,c_2113,c_6423,c_6470,c_6469,c_7912,c_8643,c_13937,c_14712,c_33133,c_34398]) ).
cnf(c_63728,plain,
subclass(intersection(X0,X1),X1),
inference(superposition,[status(thm)],[c_6646,c_122]) ).
cnf(c_63763,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_59075,c_63728]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM094-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n006.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 : Fri Aug 25 15:23:52 EDT 2023
% 0.13/0.35 % 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
% 54.35/8.25 % SZS status Started for theBenchmark.p
% 54.35/8.25 % SZS status Unsatisfiable for theBenchmark.p
% 54.35/8.25
% 54.35/8.25 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 54.35/8.25
% 54.35/8.25 ------ iProver source info
% 54.35/8.25
% 54.35/8.25 git: date: 2023-05-31 18:12:56 +0000
% 54.35/8.25 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 54.35/8.25 git: non_committed_changes: false
% 54.35/8.25 git: last_make_outside_of_git: false
% 54.35/8.25
% 54.35/8.25 ------ Parsing...successful
% 54.35/8.25
% 54.35/8.25
% 54.35/8.25
% 54.35/8.25 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 54.35/8.25
% 54.35/8.25 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 54.35/8.25
% 54.35/8.25 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 54.35/8.25 ------ Proving...
% 54.35/8.25 ------ Problem Properties
% 54.35/8.25
% 54.35/8.25
% 54.35/8.25 clauses 142
% 54.35/8.25 conjectures 3
% 54.35/8.25 EPR 17
% 54.35/8.25 Horn 130
% 54.35/8.25 unary 53
% 54.35/8.25 binary 58
% 54.35/8.25 lits 276
% 54.35/8.25 lits eq 63
% 54.35/8.25 fd_pure 0
% 54.35/8.25 fd_pseudo 0
% 54.35/8.25 fd_cond 5
% 54.35/8.25 fd_pseudo_cond 10
% 54.35/8.25 AC symbols 0
% 54.35/8.25
% 54.35/8.25 ------ Input Options Time Limit: Unbounded
% 54.35/8.25
% 54.35/8.25
% 54.35/8.25 ------
% 54.35/8.25 Current options:
% 54.35/8.25 ------
% 54.35/8.25
% 54.35/8.25
% 54.35/8.25
% 54.35/8.25
% 54.35/8.25 ------ Proving...
% 54.35/8.25
% 54.35/8.25
% 54.35/8.25 % SZS status Unsatisfiable for theBenchmark.p
% 54.35/8.25
% 54.35/8.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 54.35/8.26
% 54.35/8.26
%------------------------------------------------------------------------------