TSTP Solution File: SET071-7 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET071-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 15:06:11 EDT 2023
% Result : Unsatisfiable 4.13s 1.16s
% Output : CNFRefutation 4.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET071-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 09:58:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.13/1.16 % SZS status Started for theBenchmark.p
% 4.13/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.13/1.16
% 4.13/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.13/1.16
% 4.13/1.16 ------ iProver source info
% 4.13/1.16
% 4.13/1.16 git: date: 2023-05-31 18:12:56 +0000
% 4.13/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.13/1.16 git: non_committed_changes: false
% 4.13/1.16 git: last_make_outside_of_git: false
% 4.13/1.16
% 4.13/1.16 ------ Parsing...successful
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16 ------ 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
% 4.13/1.16
% 4.13/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.13/1.16
% 4.13/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.13/1.16 ------ Proving...
% 4.13/1.16 ------ Problem Properties
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16 clauses 105
% 4.13/1.16 conjectures 3
% 4.13/1.16 EPR 19
% 4.13/1.16 Horn 92
% 4.13/1.16 unary 41
% 4.13/1.16 binary 40
% 4.13/1.16 lits 199
% 4.13/1.16 lits eq 45
% 4.13/1.16 fd_pure 0
% 4.13/1.16 fd_pseudo 0
% 4.13/1.16 fd_cond 5
% 4.13/1.16 fd_pseudo_cond 6
% 4.13/1.16 AC symbols 0
% 4.13/1.16
% 4.13/1.16 ------ Schedule dynamic 5 is on
% 4.13/1.16
% 4.13/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16 ------
% 4.13/1.16 Current options:
% 4.13/1.16 ------
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16 ------ Proving...
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.13/1.16
% 4.13/1.16 % SZS output start CNFRefutation for theBenchmark.p
% 4.13/1.16
% 4.13/1.16 cnf(c_51,plain,
% 4.13/1.16 (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,universal_class)),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p', corollary_1_to_cartesian_product)).
% 4.13/1.16
% 4.13/1.16 cnf(c_54,plain,
% 4.13/1.16 (~subclass(X0,X1)|~subclass(X1,X2)|subclass(X0,X2)),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p', transitivity_of_subclass)).
% 4.13/1.16
% 4.13/1.16 cnf(c_63,plain,
% 4.13/1.16 (X0 = null_class|member(not_subclass_element(X0,null_class),X0)),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p', null_class_is_unique)).
% 4.13/1.16
% 4.13/1.16 cnf(c_65,plain,
% 4.13/1.16 (unordered_pair(X0,X1) = unordered_pair(X1,X0)),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_of_unordered_pair)).
% 4.13/1.16
% 4.13/1.16 cnf(c_66,plain,
% 4.13/1.16 (subclass(singleton(X0),unordered_pair(X0,X1))),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p', singleton_in_unordered_pair1)).
% 4.13/1.16
% 4.13/1.16 cnf(c_67,plain,
% 4.13/1.16 (subclass(singleton(X0),unordered_pair(X1,X0))),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p', singleton_in_unordered_pair2)).
% 4.13/1.16
% 4.13/1.16 cnf(c_68,plain,
% 4.13/1.16 (unordered_pair(X0,X1) = singleton(X0)|member(X1,universal_class)),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p', unordered_pair_equals_singleton1)).
% 4.13/1.16
% 4.13/1.16 cnf(c_70,negated_conjecture,
% 4.13/1.16 (unordered_pair(x,y) != null_class),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_null_unordered_pair_1)).
% 4.13/1.16
% 4.13/1.16 cnf(c_71,negated_conjecture,
% 4.13/1.16 (~member(x,universal_class)),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_null_unordered_pair_2)).
% 4.13/1.16
% 4.13/1.16 cnf(c_72,negated_conjecture,
% 4.13/1.16 (~member(y,universal_class)),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_null_unordered_pair_3)).
% 4.13/1.16
% 4.13/1.16 cnf(c_73,plain,
% 4.13/1.16 (~member(X0,X1)|~subclass(X1,X2)|member(X0,X2)),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax', subclass_members)).
% 4.13/1.16
% 4.13/1.16 cnf(c_75,plain,
% 4.13/1.16 (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1)),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax', not_subclass_members2)).
% 4.13/1.16
% 4.13/1.16 cnf(c_76,plain,
% 4.13/1.16 (subclass(X0,universal_class)),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax', class_elements_are_sets)).
% 4.13/1.16
% 4.13/1.16 cnf(c_79,plain,
% 4.13/1.16 (~subclass(X0,X1)|~subclass(X1,X0)|X0 = X1),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax', subclass_implies_equal)).
% 4.13/1.16
% 4.13/1.16 cnf(c_80,plain,
% 4.13/1.16 (~member(X0,unordered_pair(X1,X2))|X0 = X1|X0 = X2),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax', unordered_pair_member)).
% 4.13/1.16
% 4.13/1.16 cnf(c_84,plain,
% 4.13/1.16 (unordered_pair(X0,X0) = singleton(X0)),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax', singleton_set)).
% 4.13/1.16
% 4.13/1.16 cnf(c_85,plain,
% 4.13/1.16 (unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1)),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax', ordered_pair)).
% 4.13/1.16
% 4.13/1.16 cnf(c_124,plain,
% 4.13/1.16 (member(omega,universal_class)),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax', omega_in_universal)).
% 4.13/1.16
% 4.13/1.16 cnf(c_138,plain,
% 4.13/1.16 (X0 = null_class|member(regular(X0),X0)),
% 4.13/1.16 file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax', regularity1)).
% 4.13/1.16
% 4.13/1.16 cnf(c_4402,plain,
% 4.13/1.16 (unordered_pair(X0,x) = singleton(X0)),
% 4.13/1.16 inference(superposition,[status(thm)],[c_68,c_71])).
% 4.13/1.16
% 4.13/1.16 cnf(c_4403,plain,
% 4.13/1.16 (unordered_pair(X0,y) = singleton(X0)),
% 4.13/1.16 inference(superposition,[status(thm)],[c_68,c_72])).
% 4.13/1.16
% 4.13/1.16 cnf(c_4404,plain,
% 4.13/1.16 (singleton(x) != null_class),
% 4.13/1.16 inference(demodulation,[status(thm)],[c_70,c_4403])).
% 4.13/1.16
% 4.13/1.16 cnf(c_4414,plain,
% 4.13/1.16 (unordered_pair(x,X0) = singleton(X0)),
% 4.13/1.16 inference(superposition,[status(thm)],[c_4402,c_65])).
% 4.13/1.16
% 4.13/1.16 cnf(c_4415,plain,
% 4.13/1.16 (subclass(singleton(x),singleton(X0))),
% 4.13/1.16 inference(superposition,[status(thm)],[c_4402,c_67])).
% 4.13/1.16
% 4.13/1.16 cnf(c_4425,plain,
% 4.13/1.16 (unordered_pair(y,X0) = singleton(X0)),
% 4.13/1.16 inference(superposition,[status(thm)],[c_4403,c_65])).
% 4.13/1.16
% 4.13/1.16 cnf(c_4439,plain,
% 4.13/1.16 (singleton(x) = singleton(y)),
% 4.13/1.16 inference(superposition,[status(thm)],[c_4414,c_4403])).
% 4.13/1.16
% 4.13/1.16 cnf(c_4624,plain,
% 4.13/1.16 (~subclass(singleton(X0),X1)|subclass(singleton(x),X1)),
% 4.13/1.16 inference(superposition,[status(thm)],[c_4415,c_54])).
% 4.13/1.16
% 4.13/1.16 cnf(c_4688,plain,
% 4.13/1.16 (~member(X0,singleton(x))|member(X0,singleton(X1))),
% 4.13/1.16 inference(superposition,[status(thm)],[c_4415,c_73])).
% 4.13/1.16
% 4.13/1.16 cnf(c_4822,plain,
% 4.13/1.16 (subclass(singleton(x),unordered_pair(X0,X1))),
% 4.13/1.16 inference(superposition,[status(thm)],[c_66,c_4624])).
% 4.13/1.16
% 4.13/1.16 cnf(c_4837,plain,
% 4.13/1.16 (singleton(x) = null_class|member(not_subclass_element(singleton(x),null_class),singleton(X0))),
% 4.13/1.16 inference(superposition,[status(thm)],[c_63,c_4688])).
% 4.13/1.16
% 4.13/1.16 cnf(c_4838,plain,
% 4.13/1.16 (singleton(x) = null_class|member(regular(singleton(x)),singleton(X0))),
% 4.13/1.16 inference(superposition,[status(thm)],[c_138,c_4688])).
% 4.13/1.16
% 4.13/1.16 cnf(c_4840,plain,
% 4.13/1.16 (member(regular(singleton(x)),singleton(X0))),
% 4.13/1.16 inference(forward_subsumption_resolution,[status(thm)],[c_4838,c_4404])).
% 4.13/1.16
% 4.13/1.16 cnf(c_4843,plain,
% 4.13/1.16 (member(not_subclass_element(singleton(x),null_class),singleton(X0))),
% 4.13/1.16 inference(forward_subsumption_resolution,[status(thm)],[c_4837,c_4404])).
% 4.13/1.16
% 4.13/1.16 cnf(c_4867,plain,
% 4.13/1.16 (~member(X0,singleton(x))|member(X0,unordered_pair(X1,X2))),
% 4.13/1.16 inference(superposition,[status(thm)],[c_4822,c_73])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5118,plain,
% 4.13/1.16 (~member(not_subclass_element(X0,unordered_pair(X1,X2)),singleton(x))|
% 4.13/1.16 subclass(X0,unordered_pair(X1,X2))),
% 4.13/1.16 inference(superposition,[status(thm)],[c_4867,c_75])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5187,plain,
% 4.13/1.16 (~subclass(universal_class,X0)|X0 = universal_class),
% 4.13/1.16 inference(superposition,[status(thm)],[c_76,c_79])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5202,plain,
% 4.13/1.16 (~subclass(unordered_pair(X0,X1),singleton(x))|unordered_pair(X0,X1) = singleton(x)),
% 4.13/1.16 inference(superposition,[status(thm)],[c_4822,c_79])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5337,plain,
% 4.13/1.16 (~member(not_subclass_element(X0,singleton(X1)),singleton(x))|subclass(X0,unordered_pair(X1,x))),
% 4.13/1.16 inference(superposition,[status(thm)],[c_4402,c_5118])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5358,plain,
% 4.13/1.16 (~member(not_subclass_element(X0,singleton(X1)),singleton(x))|subclass(X0,singleton(X1))),
% 4.13/1.16 inference(demodulation,[status(thm)],[c_5337,c_4402])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5384,plain,
% 4.13/1.16 (unordered_pair(singleton(x),singleton(singleton(X0))) = ordered_pair(x,X0)),
% 4.13/1.16 inference(superposition,[status(thm)],[c_4414,c_85])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5385,plain,
% 4.13/1.16 (unordered_pair(singleton(y),singleton(singleton(X0))) = ordered_pair(y,X0)),
% 4.13/1.16 inference(superposition,[status(thm)],[c_4425,c_85])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5405,plain,
% 4.13/1.16 (unordered_pair(singleton(x),singleton(singleton(X0))) = ordered_pair(y,X0)),
% 4.13/1.16 inference(light_normalisation,[status(thm)],[c_5385,c_4439])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5493,plain,
% 4.13/1.16 (~subclass(ordered_pair(x,X0),singleton(x))|unordered_pair(singleton(x),singleton(singleton(X0))) = singleton(x)),
% 4.13/1.16 inference(superposition,[status(thm)],[c_5384,c_5202])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5513,plain,
% 4.13/1.16 (~subclass(ordered_pair(x,X0),singleton(x))|ordered_pair(x,X0) = singleton(x)),
% 4.13/1.16 inference(light_normalisation,[status(thm)],[c_5493,c_5384])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5541,plain,
% 4.13/1.16 (ordered_pair(x,X0) = ordered_pair(y,X0)),
% 4.13/1.16 inference(light_normalisation,[status(thm)],[c_5405,c_5384])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5550,plain,
% 4.13/1.16 (~member(ordered_pair(x,X0),cross_product(X1,X2))|member(y,universal_class)),
% 4.13/1.16 inference(superposition,[status(thm)],[c_5541,c_51])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5555,plain,
% 4.13/1.16 (~member(ordered_pair(x,X0),cross_product(X1,X2))),
% 4.13/1.16 inference(forward_subsumption_resolution,[status(thm)],[c_5550,c_72])).
% 4.13/1.16
% 4.13/1.16 cnf(c_5929,plain,
% 4.13/1.16 (~member(X0,singleton(X1))|X0 = X1),
% 4.13/1.16 inference(superposition,[status(thm)],[c_84,c_80])).
% 4.13/1.16
% 4.13/1.16 cnf(c_8460,plain,
% 4.13/1.16 (not_subclass_element(singleton(x),null_class) = X0),
% 4.13/1.16 inference(superposition,[status(thm)],[c_4843,c_5929])).
% 4.13/1.16
% 4.13/1.16 cnf(c_8461,plain,
% 4.13/1.16 (regular(singleton(x)) = X0),
% 4.13/1.16 inference(superposition,[status(thm)],[c_4840,c_5929])).
% 4.13/1.16
% 4.13/1.16 cnf(c_8619,plain,
% 4.13/1.16 (~member(regular(singleton(x)),singleton(x))|subclass(X0,singleton(X1))),
% 4.13/1.16 inference(demodulation,[status(thm)],[c_5358,c_8461])).
% 4.13/1.16
% 4.13/1.16 cnf(c_8629,plain,
% 4.13/1.16 (subclass(X0,singleton(X1))),
% 4.13/1.16 inference(forward_subsumption_resolution,[status(thm)],[c_8619,c_4840])).
% 4.13/1.16
% 4.13/1.16 cnf(c_8630,plain,
% 4.13/1.16 (ordered_pair(x,X0) = singleton(x)),
% 4.13/1.16 inference(backward_subsumption_resolution,[status(thm)],[c_5513,c_8629])).
% 4.13/1.16
% 4.13/1.16 cnf(c_8638,plain,
% 4.13/1.16 (~member(singleton(x),cross_product(X0,X1))),
% 4.13/1.16 inference(demodulation,[status(thm)],[c_5555,c_8630])).
% 4.13/1.16
% 4.13/1.16 cnf(c_8690,plain,
% 4.13/1.16 (X0 = iProver_smallest_$i),
% 4.13/1.16 inference(demodulation,[status(thm)],[c_8460])).
% 4.13/1.16
% 4.13/1.16 cnf(c_8737,plain,
% 4.13/1.16 (subclass(X0,iProver_smallest_$i)),
% 4.13/1.16 inference(demodulation,[status(thm)],[c_8629,c_8690])).
% 4.13/1.16
% 4.13/1.16 cnf(c_8741,plain,
% 4.13/1.16 (universal_class = iProver_smallest_$i),
% 4.13/1.16 inference(superposition,[status(thm)],[c_8737,c_5187])).
% 4.13/1.16
% 4.13/1.16 cnf(c_8783,plain,
% 4.13/1.16 (member(omega,iProver_smallest_$i)),
% 4.13/1.16 inference(demodulation,[status(thm)],[c_124,c_8741])).
% 4.13/1.16
% 4.13/1.16 cnf(c_8854,plain,
% 4.13/1.16 (member(iProver_smallest_$i,iProver_smallest_$i)),
% 4.13/1.16 inference(demodulation,[status(thm)],[c_8783,c_8690])).
% 4.13/1.16
% 4.13/1.16 cnf(c_8856,plain,
% 4.13/1.16 (~member(iProver_smallest_$i,iProver_smallest_$i)),
% 4.13/1.16 inference(demodulation,[status(thm)],[c_8638,c_8690])).
% 4.13/1.16
% 4.13/1.16 cnf(c_8857,plain,
% 4.13/1.16 ($false),
% 4.13/1.16 inference(forward_subsumption_resolution,[status(thm)],[c_8856,c_8854])).
% 4.13/1.16
% 4.13/1.16
% 4.13/1.16 % SZS output end CNFRefutation for theBenchmark.p
% 4.13/1.16
% 4.13/1.17
%------------------------------------------------------------------------------