TSTP Solution File: SET215-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET215-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 15:07:12 EDT 2023
% Result : Unsatisfiable 149.49s 20.77s
% Output : CNFRefutation 149.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 6 unt; 4 nHn; 18 RR)
% Number of literals : 37 ( 3 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ subclass(cross_product(intersection(x,y),z),cross_product(y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_6_to_X_product_monotonicity_1) ).
cnf(c_72,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_73,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_84,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(c_85,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
cnf(c_86,plain,
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).
cnf(c_87,plain,
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
cnf(c_92,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(c_16612,plain,
( ordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2))) = not_subclass_element(cross_product(X0,X1),X2)
| subclass(cross_product(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_72,c_87]) ).
cnf(c_33965,plain,
ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)))) = not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),
inference(superposition,[status(thm)],[c_16612,c_49]) ).
cnf(c_34105,plain,
( ~ member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),cross_product(X0,X1))
| member(second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),X1) ),
inference(superposition,[status(thm)],[c_33965,c_85]) ).
cnf(c_34107,plain,
( ~ member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),cross_product(X0,X1))
| member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),X0) ),
inference(superposition,[status(thm)],[c_33965,c_84]) ).
cnf(c_34120,plain,
( ~ member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),X0)
| ~ member(second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),X1)
| member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),cross_product(X0,X1)) ),
inference(superposition,[status(thm)],[c_33965,c_86]) ).
cnf(c_35314,plain,
( member(second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),z)
| subclass(cross_product(intersection(x,y),z),cross_product(y,z)) ),
inference(superposition,[status(thm)],[c_72,c_34105]) ).
cnf(c_35324,plain,
member(second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),z),
inference(forward_subsumption_resolution,[status(thm)],[c_35314,c_49]) ).
cnf(c_35497,plain,
( member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),intersection(x,y))
| subclass(cross_product(intersection(x,y),z),cross_product(y,z)) ),
inference(superposition,[status(thm)],[c_72,c_34107]) ).
cnf(c_35507,plain,
member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),intersection(x,y)),
inference(forward_subsumption_resolution,[status(thm)],[c_35497,c_49]) ).
cnf(c_35512,plain,
member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),y),
inference(superposition,[status(thm)],[c_35507,c_92]) ).
cnf(c_36392,plain,
( ~ member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),y)
| ~ member(second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),z)
| subclass(cross_product(intersection(x,y),z),cross_product(y,z)) ),
inference(superposition,[status(thm)],[c_34120,c_73]) ).
cnf(c_36400,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_36392,c_49,c_35324,c_35512]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET215-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 13:03:36 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 149.49/20.77 % SZS status Started for theBenchmark.p
% 149.49/20.77 % SZS status Unsatisfiable for theBenchmark.p
% 149.49/20.77
% 149.49/20.77 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 149.49/20.77
% 149.49/20.77 ------ iProver source info
% 149.49/20.77
% 149.49/20.77 git: date: 2023-05-31 18:12:56 +0000
% 149.49/20.77 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 149.49/20.77 git: non_committed_changes: false
% 149.49/20.77 git: last_make_outside_of_git: false
% 149.49/20.77
% 149.49/20.77 ------ Parsing...successful
% 149.49/20.77
% 149.49/20.77
% 149.49/20.77
% 149.49/20.77 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 149.49/20.77
% 149.49/20.77 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 149.49/20.77
% 149.49/20.77 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 149.49/20.77 ------ Proving...
% 149.49/20.77 ------ Problem Properties
% 149.49/20.77
% 149.49/20.77
% 149.49/20.77 clauses 101
% 149.49/20.77 conjectures 1
% 149.49/20.77 EPR 12
% 149.49/20.77 Horn 93
% 149.49/20.77 unary 40
% 149.49/20.77 binary 40
% 149.49/20.77 lits 189
% 149.49/20.77 lits eq 44
% 149.49/20.77 fd_pure 0
% 149.49/20.77 fd_pseudo 0
% 149.49/20.77 fd_cond 3
% 149.49/20.77 fd_pseudo_cond 7
% 149.49/20.77 AC symbols 0
% 149.49/20.77
% 149.49/20.77 ------ Input Options Time Limit: Unbounded
% 149.49/20.77
% 149.49/20.77
% 149.49/20.77 ------
% 149.49/20.77 Current options:
% 149.49/20.77 ------
% 149.49/20.77
% 149.49/20.77
% 149.49/20.77
% 149.49/20.77
% 149.49/20.77 ------ Proving...
% 149.49/20.77
% 149.49/20.77
% 149.49/20.77 % SZS status Unsatisfiable for theBenchmark.p
% 149.49/20.77
% 149.49/20.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 149.49/20.77
% 149.49/20.77
%------------------------------------------------------------------------------