TSTP Solution File: SEV421_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEV421_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 15:56:48 EDT 2024
% Result : Theorem 2.45s 1.00s
% Output : CNFRefutation 2.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEV421_1 : TPTP v8.2.0. Released v5.0.0.
% 0.00/0.09 % Command : run_iprover %s %d THM
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri Jun 21 19:26:24 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.37 Running TFA theorem proving
% 0.09/0.37 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.45/1.00 % SZS status Started for theBenchmark.p
% 2.45/1.00 % SZS status Theorem for theBenchmark.p
% 2.45/1.00
% 2.45/1.00 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.45/1.00
% 2.45/1.00 ------ iProver source info
% 2.45/1.00
% 2.45/1.00 git: date: 2024-06-12 09:56:46 +0000
% 2.45/1.00 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.45/1.00 git: non_committed_changes: false
% 2.45/1.00
% 2.45/1.00 ------ Parsing...
% 2.45/1.00 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.45/1.00
% 2.45/1.00 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.45/1.00
% 2.45/1.00 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.45/1.00
% 2.45/1.00 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.45/1.00 ------ Proving...
% 2.45/1.00 ------ Problem Properties
% 2.45/1.00
% 2.45/1.00
% 2.45/1.00 clauses 41
% 2.45/1.00 conjectures 4
% 2.45/1.00 EPR 9
% 2.45/1.00 Horn 34
% 2.45/1.00 unary 14
% 2.45/1.00 binary 22
% 2.45/1.00 lits 73
% 2.45/1.00 lits eq 32
% 2.45/1.00 fd_pure 0
% 2.45/1.00 fd_pseudo 0
% 2.45/1.00 fd_cond 2
% 2.45/1.00 fd_pseudo_cond 2
% 2.45/1.00 AC symbols 1
% 2.45/1.00
% 2.45/1.00 ------ Input Options Time Limit: Unbounded
% 2.45/1.00
% 2.45/1.00
% 2.45/1.00 ------
% 2.45/1.00 Current options:
% 2.45/1.00 ------
% 2.45/1.00
% 2.45/1.00
% 2.45/1.00
% 2.45/1.00
% 2.45/1.00 ------ Proving...
% 2.45/1.00
% 2.45/1.00
% 2.45/1.00 % SZS status Theorem for theBenchmark.p
% 2.45/1.00
% 2.45/1.00 % SZS output start CNFRefutation for theBenchmark.p
% 2.45/1.00
% 2.45/1.00 tff(f8,axiom,(
% 2.45/1.00 ! [X0 : set] : (cardinality(X0) = 0 <=> empty_set = X0)),
% 2.45/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinality_empty_set)).
% 2.45/1.00
% 2.45/1.00 tff(f13,conjecture,(
% 2.45/1.00 ! [X1 : element,X6 : set,X7 : $int] : ((cardinality(X6) = X7 & ~member(X1,X6)) => (0 = X7 <=> empty_set = X6))),
% 2.45/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',vc1)).
% 2.45/1.00
% 2.45/1.00 tff(f14,negated_conjecture,(
% 2.45/1.00 ~! [X1 : element,X6 : set,X7 : $int] : ((cardinality(X6) = X7 & ~member(X1,X6)) => (0 = X7 <=> empty_set = X6))),
% 2.45/1.00 inference(negated_conjecture,[],[f13])).
% 2.45/1.00
% 2.45/1.00 tff(f37,plain,(
% 2.45/1.00 ~! [X0 : element,X1 : set,X2 : $int] : ((cardinality(X1) = X2 & ~member(X0,X1)) => (0 = X2 <=> empty_set = X1))),
% 2.45/1.00 inference(rectify,[],[f14])).
% 2.45/1.00
% 2.45/1.00 tff(f38,plain,(
% 2.45/1.00 ? [X0 : element,X1 : set,X2 : $int] : ((0 = X2 <~> empty_set = X1) & (cardinality(X1) = X2 & ~member(X0,X1)))),
% 2.45/1.00 inference(ennf_transformation,[],[f37])).
% 2.45/1.00
% 2.45/1.00 tff(f39,plain,(
% 2.45/1.00 ? [X0 : element,X1 : set,X2 : $int] : ((0 = X2 <~> empty_set = X1) & cardinality(X1) = X2 & ~member(X0,X1))),
% 2.45/1.00 inference(flattening,[],[f38])).
% 2.45/1.00
% 2.45/1.00 tff(f52,plain,(
% 2.45/1.00 ! [X0 : set] : ((cardinality(X0) = 0 | empty_set != X0) & (empty_set = X0 | cardinality(X0) != 0))),
% 2.45/1.00 inference(nnf_transformation,[],[f8])).
% 2.45/1.00
% 2.45/1.00 tff(f57,plain,(
% 2.45/1.00 ? [X0 : element,X1 : set,X2 : $int] : (((empty_set != X1 | 0 != X2) & (empty_set = X1 | 0 = X2)) & cardinality(X1) = X2 & ~member(X0,X1))),
% 2.45/1.00 inference(nnf_transformation,[],[f39])).
% 2.45/1.00
% 2.45/1.00 tff(f58,plain,(
% 2.45/1.00 ? [X0 : element,X1 : set,X2 : $int] : ((empty_set != X1 | 0 != X2) & (empty_set = X1 | 0 = X2) & cardinality(X1) = X2 & ~member(X0,X1))),
% 2.45/1.00 inference(flattening,[],[f57])).
% 2.45/1.00
% 2.45/1.00 tff(f59,plain,(
% 2.45/1.00 ? [X0 : element,X1 : set,X2 : $int] : ((empty_set != X1 | 0 != X2) & (empty_set = X1 | 0 = X2) & cardinality(X1) = X2 & ~member(X0,X1)) => ((empty_set != sK2 | 0 != sK3) & (empty_set = sK2 | 0 = sK3) & sK3 = cardinality(sK2) & ~member(sK1,sK2))),
% 2.45/1.00 introduced(choice_axiom,[])).
% 2.45/1.00
% 2.45/1.00 tff(f60,plain,(
% 2.45/1.00 (empty_set != sK2 | 0 != sK3) & (empty_set = sK2 | 0 = sK3) & sK3 = cardinality(sK2) & ~member(sK1,sK2)),
% 2.45/1.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f58,f59])).
% 2.45/1.00
% 2.45/1.00 tff(f76,plain,(
% 2.45/1.00 ( ! [X0 : set] : (empty_set = X0 | cardinality(X0) != 0) )),
% 2.45/1.00 inference(cnf_transformation,[],[f52])).
% 2.45/1.00
% 2.45/1.00 tff(f77,plain,(
% 2.45/1.00 ( ! [X0 : set] : (cardinality(X0) = 0 | empty_set != X0) )),
% 2.45/1.00 inference(cnf_transformation,[],[f52])).
% 2.45/1.00
% 2.45/1.00 tff(f87,plain,(
% 2.45/1.00 sK3 = cardinality(sK2)),
% 2.45/1.00 inference(cnf_transformation,[],[f60])).
% 2.45/1.00
% 2.45/1.00 tff(f88,plain,(
% 2.45/1.00 empty_set = sK2 | 0 = sK3),
% 2.45/1.00 inference(cnf_transformation,[],[f60])).
% 2.45/1.00
% 2.45/1.00 tff(f89,plain,(
% 2.45/1.00 empty_set != sK2 | 0 != sK3),
% 2.45/1.00 inference(cnf_transformation,[],[f60])).
% 2.45/1.00
% 2.45/1.00 tff(f92,plain,(
% 2.45/1.00 0 = cardinality(empty_set)),
% 2.45/1.00 inference(equality_resolution,[],[f77])).
% 2.45/1.00
% 2.45/1.00 cnf(c_76,plain,
% 2.45/1.00 (cardinality(empty_set) = 0),
% 2.45/1.00 inference(cnf_transformation,[],[f92])).
% 2.45/1.00
% 2.45/1.00 cnf(c_77,plain,
% 2.45/1.00 (cardinality(X0_13) != 0|X0_13 = empty_set),
% 2.45/1.00 inference(cnf_transformation,[],[f76])).
% 2.45/1.00
% 2.45/1.00 cnf(c_86,negated_conjecture,
% 2.45/1.00 (empty_set != sK2|sK3 != 0),
% 2.45/1.00 inference(cnf_transformation,[],[f89])).
% 2.45/1.00
% 2.45/1.00 cnf(c_87,negated_conjecture,
% 2.45/1.00 (empty_set = sK2|sK3 = 0),
% 2.45/1.00 inference(cnf_transformation,[],[f88])).
% 2.45/1.00
% 2.45/1.00 cnf(c_88,negated_conjecture,
% 2.45/1.00 (cardinality(sK2) = sK3),
% 2.45/1.00 inference(cnf_transformation,[],[f87])).
% 2.45/1.00
% 2.45/1.00 cnf(c_948,plain,(cardinality(sK2) = sP0_iProver_def),definition).
% 2.45/1.00
% 2.45/1.00 cnf(c_950,negated_conjecture,
% 2.45/1.00 (sP0_iProver_def = sK3),
% 2.45/1.00 inference(demodulation,[status(thm)],[c_88,c_948])).
% 2.45/1.00
% 2.45/1.00 cnf(c_951,negated_conjecture,
% 2.45/1.00 (empty_set = sK2|sK3 = 0),
% 2.45/1.00 inference(demodulation,[status(thm)],[c_87])).
% 2.45/1.00
% 2.45/1.00 cnf(c_952,negated_conjecture,
% 2.45/1.00 (empty_set != sK2|sK3 != 0),
% 2.45/1.00 inference(demodulation,[status(thm)],[c_86])).
% 2.45/1.00
% 2.45/1.00 cnf(c_1737,plain,
% 2.45/1.00 (empty_set = sK2|0 = sP0_iProver_def),
% 2.45/1.00 inference(light_normalisation,[status(thm)],[c_951,c_950])).
% 2.45/1.00
% 2.45/1.00 cnf(c_1743,plain,
% 2.45/1.00 (empty_set != sK2|0 != sP0_iProver_def),
% 2.45/1.00 inference(light_normalisation,[status(thm)],[c_952,c_950])).
% 2.45/1.00
% 2.45/1.00 cnf(c_1757,plain,
% 2.45/1.00 (cardinality(empty_set) = sP0_iProver_def|0 = sP0_iProver_def),
% 2.45/1.00 inference(superposition,[status(thm)],[c_1737,c_948])).
% 2.45/1.00
% 2.45/1.00 cnf(c_1758,plain,
% 2.45/1.00 (0 = sP0_iProver_def),
% 2.45/1.00 inference(light_normalisation,[status(thm)],[c_1757,c_76])).
% 2.45/1.00
% 2.45/1.00 cnf(c_1759,plain,
% 2.45/1.00 (empty_set != sK2),
% 2.45/1.00 inference(backward_subsumption_resolution,[status(thm)],[c_1743,c_1758])).
% 2.45/1.00
% 2.45/1.00 cnf(c_1965,plain,
% 2.45/1.00 (cardinality(X0_13) != sP0_iProver_def|X0_13 = empty_set),
% 2.45/1.00 inference(light_normalisation,[status(thm)],[c_77,c_1758])).
% 2.45/1.00
% 2.45/1.00 cnf(c_1973,plain,
% 2.45/1.00 (empty_set = sK2),
% 2.45/1.00 inference(superposition,[status(thm)],[c_948,c_1965])).
% 2.45/1.00
% 2.45/1.00 cnf(c_1974,plain,
% 2.45/1.00 ($false),
% 2.45/1.00 inference(forward_subsumption_resolution,[status(thm)],[c_1973,c_1759])).
% 2.45/1.00
% 2.45/1.00
% 2.45/1.00 % SZS output end CNFRefutation for theBenchmark.p
% 2.45/1.00
% 2.45/1.00
%------------------------------------------------------------------------------