TSTP Solution File: SET075-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET075-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 : Fri May 3 02:59:43 EDT 2024
% Result : Unsatisfiable 7.45s 1.67s
% Output : CNFRefutation 7.45s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
member(ordered_pair(x,y),cross_product(u,v)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_1) ).
cnf(c_50,negated_conjecture,
unordered_pair(x,y) = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_2) ).
cnf(c_51,plain,
( ~ member(X0,X1)
| ~ subclass(X1,X2)
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_54,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_59,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(c_64,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(c_71,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_72,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(c_74,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_116,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_2693,plain,
unordered_pair(x,y) = sP0_iProver_def,
definition ).
cnf(c_2694,plain,
ordered_pair(x,y) = sP1_iProver_def,
definition ).
cnf(c_2695,plain,
cross_product(u,v) = sP2_iProver_def,
definition ).
cnf(c_2696,negated_conjecture,
sP0_iProver_def = null_class,
inference(demodulation,[status(thm)],[c_50,c_2693]) ).
cnf(c_2697,negated_conjecture,
member(sP1_iProver_def,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_49,c_2695,c_2694]) ).
cnf(c_3702,plain,
( X0 = sP0_iProver_def
| member(regular(X0),X0) ),
inference(light_normalisation,[status(thm)],[c_116,c_2696]) ).
cnf(c_3716,plain,
( ~ member(x,universal_class)
| member(x,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_2693,c_59]) ).
cnf(c_3759,plain,
( intersection(X0,X1) = sP0_iProver_def
| member(regular(intersection(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_3702,c_71]) ).
cnf(c_3779,plain,
( intersection(X0,X1) = sP0_iProver_def
| member(regular(intersection(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_3702,c_72]) ).
cnf(c_3847,plain,
( ~ member(regular(intersection(complement(X0),X1)),X0)
| intersection(complement(X0),X1) = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_3759,c_74]) ).
cnf(c_3910,plain,
intersection(complement(X0),X0) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_3779,c_3847]) ).
cnf(c_4001,plain,
( ~ member(X0,sP0_iProver_def)
| member(X0,X1) ),
inference(superposition,[status(thm)],[c_3910,c_72]) ).
cnf(c_4002,plain,
( ~ member(X0,sP0_iProver_def)
| member(X0,complement(X1)) ),
inference(superposition,[status(thm)],[c_3910,c_71]) ).
cnf(c_4029,plain,
~ member(X0,sP0_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_4001,c_74,c_4001,c_4002]) ).
cnf(c_4033,plain,
~ member(x,universal_class),
inference(backward_subsumption_resolution,[status(thm)],[c_3716,c_4029]) ).
cnf(c_4759,plain,
( ~ member(sP1_iProver_def,cross_product(X0,X1))
| member(x,X0) ),
inference(superposition,[status(thm)],[c_2694,c_64]) ).
cnf(c_12089,plain,
( ~ member(sP1_iProver_def,sP2_iProver_def)
| member(x,u) ),
inference(superposition,[status(thm)],[c_2695,c_4759]) ).
cnf(c_12090,plain,
member(x,u),
inference(forward_subsumption_resolution,[status(thm)],[c_12089,c_2697]) ).
cnf(c_12091,plain,
( ~ subclass(u,X0)
| member(x,X0) ),
inference(superposition,[status(thm)],[c_12090,c_51]) ).
cnf(c_12099,plain,
member(x,universal_class),
inference(superposition,[status(thm)],[c_54,c_12091]) ).
cnf(c_12102,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_12099,c_4033]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET075-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 2 20:42:31 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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
% 7.45/1.67 % SZS status Started for theBenchmark.p
% 7.45/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 7.45/1.67
% 7.45/1.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.45/1.67
% 7.45/1.67 ------ iProver source info
% 7.45/1.67
% 7.45/1.67 git: date: 2024-05-02 19:28:25 +0000
% 7.45/1.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.45/1.67 git: non_committed_changes: false
% 7.45/1.67
% 7.45/1.67 ------ Parsing...successful
% 7.45/1.67
% 7.45/1.67
% 7.45/1.67
% 7.45/1.67 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 7.45/1.67
% 7.45/1.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.45/1.67
% 7.45/1.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.45/1.67 ------ Proving...
% 7.45/1.67 ------ Problem Properties
% 7.45/1.67
% 7.45/1.67
% 7.45/1.67 clauses 88
% 7.45/1.67 conjectures 2
% 7.45/1.67 EPR 14
% 7.45/1.67 Horn 80
% 7.45/1.67 unary 36
% 7.45/1.67 binary 32
% 7.45/1.67 lits 166
% 7.45/1.67 lits eq 40
% 7.45/1.67 fd_pure 0
% 7.45/1.67 fd_pseudo 0
% 7.45/1.67 fd_cond 3
% 7.45/1.67 fd_pseudo_cond 3
% 7.45/1.67 AC symbols 0
% 7.45/1.67
% 7.45/1.67 ------ Schedule dynamic 5 is on
% 7.45/1.67
% 7.45/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.45/1.67
% 7.45/1.67
% 7.45/1.67 ------
% 7.45/1.67 Current options:
% 7.45/1.67 ------
% 7.45/1.67
% 7.45/1.67
% 7.45/1.67
% 7.45/1.67
% 7.45/1.67 ------ Proving...
% 7.45/1.67
% 7.45/1.67
% 7.45/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 7.45/1.67
% 7.45/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.45/1.67
% 7.45/1.67
%------------------------------------------------------------------------------