TSTP Solution File: SEV421_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEV421_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 03:09:28 EDT 2024
% Result : Theorem 2.65s 1.18s
% Output : CNFRefutation 2.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV421_1 : TPTP v8.1.2. Released v5.0.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n026.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 : Thu May 2 18:19:36 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running TFA theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.65/1.18 % SZS status Started for theBenchmark.p
% 2.65/1.18 % SZS status Theorem for theBenchmark.p
% 2.65/1.18
% 2.65/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.65/1.18
% 2.65/1.18 ------ iProver source info
% 2.65/1.18
% 2.65/1.18 git: date: 2024-05-02 19:28:25 +0000
% 2.65/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.65/1.18 git: non_committed_changes: false
% 2.65/1.18
% 2.65/1.18 ------ Parsing...
% 2.65/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.65/1.18
% 2.65/1.18 ------ 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
% 2.65/1.18
% 2.65/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.65/1.18
% 2.65/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.65/1.18 ------ Proving...
% 2.65/1.18 ------ Problem Properties
% 2.65/1.18
% 2.65/1.18
% 2.65/1.18 clauses 40
% 2.65/1.18 conjectures 4
% 2.65/1.18 EPR 8
% 2.65/1.18 Horn 33
% 2.65/1.18 unary 13
% 2.65/1.18 binary 22
% 2.65/1.18 lits 72
% 2.65/1.18 lits eq 31
% 2.65/1.18 fd_pure 0
% 2.65/1.18 fd_pseudo 0
% 2.65/1.18 fd_cond 2
% 2.65/1.18 fd_pseudo_cond 2
% 2.65/1.18 AC symbols 1
% 2.65/1.18
% 2.65/1.18 ------ Input Options Time Limit: Unbounded
% 2.65/1.18
% 2.65/1.18
% 2.65/1.18 ------
% 2.65/1.18 Current options:
% 2.65/1.18 ------
% 2.65/1.18
% 2.65/1.18
% 2.65/1.18
% 2.65/1.18
% 2.65/1.18 ------ Proving...
% 2.65/1.18
% 2.65/1.18
% 2.65/1.18 % SZS status Theorem for theBenchmark.p
% 2.65/1.18
% 2.65/1.18 % SZS output start CNFRefutation for theBenchmark.p
% 2.65/1.18
% 2.65/1.18 tff(f8,axiom,(
% 2.65/1.18 ! [X0 : set] : (cardinality(X0) = 0 <=> empty_set = X0)),
% 2.65/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinality_empty_set)).
% 2.65/1.18
% 2.65/1.18 tff(f13,conjecture,(
% 2.65/1.18 ! [X1 : element,X6 : set,X7 : $int] : ((cardinality(X6) = X7 & ~member(X1,X6)) => (0 = X7 <=> empty_set = X6))),
% 2.65/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',vc1)).
% 2.65/1.18
% 2.65/1.18 tff(f14,negated_conjecture,(
% 2.65/1.18 ~! [X1 : element,X6 : set,X7 : $int] : ((cardinality(X6) = X7 & ~member(X1,X6)) => (0 = X7 <=> empty_set = X6))),
% 2.65/1.18 inference(negated_conjecture,[],[f13])).
% 2.65/1.18
% 2.65/1.18 tff(f37,plain,(
% 2.65/1.18 ~! [X0 : element,X1 : set,X2 : $int] : ((cardinality(X1) = X2 & ~member(X0,X1)) => (0 = X2 <=> empty_set = X1))),
% 2.65/1.18 inference(rectify,[],[f14])).
% 2.65/1.18
% 2.65/1.18 tff(f38,plain,(
% 2.65/1.18 ? [X0 : element,X1 : set,X2 : $int] : ((0 = X2 <~> empty_set = X1) & (cardinality(X1) = X2 & ~member(X0,X1)))),
% 2.65/1.18 inference(ennf_transformation,[],[f37])).
% 2.65/1.18
% 2.65/1.18 tff(f39,plain,(
% 2.65/1.18 ? [X0 : element,X1 : set,X2 : $int] : ((0 = X2 <~> empty_set = X1) & cardinality(X1) = X2 & ~member(X0,X1))),
% 2.65/1.18 inference(flattening,[],[f38])).
% 2.65/1.18
% 2.65/1.18 tff(f52,plain,(
% 2.65/1.18 ! [X0 : set] : ((cardinality(X0) = 0 | empty_set != X0) & (empty_set = X0 | cardinality(X0) != 0))),
% 2.65/1.18 inference(nnf_transformation,[],[f8])).
% 2.65/1.18
% 2.65/1.18 tff(f57,plain,(
% 2.65/1.18 ? [X0 : element,X1 : set,X2 : $int] : (((empty_set != X1 | 0 != X2) & (empty_set = X1 | 0 = X2)) & cardinality(X1) = X2 & ~member(X0,X1))),
% 2.65/1.18 inference(nnf_transformation,[],[f39])).
% 2.65/1.18
% 2.65/1.18 tff(f58,plain,(
% 2.65/1.18 ? [X0 : element,X1 : set,X2 : $int] : ((empty_set != X1 | 0 != X2) & (empty_set = X1 | 0 = X2) & cardinality(X1) = X2 & ~member(X0,X1))),
% 2.65/1.18 inference(flattening,[],[f57])).
% 2.65/1.18
% 2.65/1.18 tff(f59,plain,(
% 2.65/1.18 ? [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))),
% 2.65/1.18 introduced(choice_axiom,[])).
% 2.65/1.18
% 2.65/1.18 tff(f60,plain,(
% 2.65/1.18 (empty_set != sK2 | 0 != sK3) & (empty_set = sK2 | 0 = sK3) & sK3 = cardinality(sK2) & ~member(sK1,sK2)),
% 2.65/1.18 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f58,f59])).
% 2.65/1.18
% 2.65/1.18 tff(f76,plain,(
% 2.65/1.18 ( ! [X0 : set] : (empty_set = X0 | cardinality(X0) != 0) )),
% 2.65/1.18 inference(cnf_transformation,[],[f52])).
% 2.65/1.18
% 2.65/1.18 tff(f77,plain,(
% 2.65/1.18 ( ! [X0 : set] : (cardinality(X0) = 0 | empty_set != X0) )),
% 2.65/1.18 inference(cnf_transformation,[],[f52])).
% 2.65/1.18
% 2.65/1.18 tff(f87,plain,(
% 2.65/1.18 sK3 = cardinality(sK2)),
% 2.65/1.18 inference(cnf_transformation,[],[f60])).
% 2.65/1.18
% 2.65/1.18 tff(f88,plain,(
% 2.65/1.18 empty_set = sK2 | 0 = sK3),
% 2.65/1.18 inference(cnf_transformation,[],[f60])).
% 2.65/1.18
% 2.65/1.18 tff(f89,plain,(
% 2.65/1.18 empty_set != sK2 | 0 != sK3),
% 2.65/1.18 inference(cnf_transformation,[],[f60])).
% 2.65/1.18
% 2.65/1.18 tff(f92,plain,(
% 2.65/1.18 0 = cardinality(empty_set)),
% 2.65/1.18 inference(equality_resolution,[],[f77])).
% 2.65/1.18
% 2.65/1.18 cnf(c_76,plain,
% 2.65/1.18 (cardinality(empty_set) = 0),
% 2.65/1.18 inference(cnf_transformation,[],[f92])).
% 2.65/1.18
% 2.65/1.18 cnf(c_77,plain,
% 2.65/1.18 (cardinality(X0_13) != 0|X0_13 = empty_set),
% 2.65/1.18 inference(cnf_transformation,[],[f76])).
% 2.65/1.18
% 2.65/1.18 cnf(c_86,negated_conjecture,
% 2.65/1.18 (empty_set != sK2|sK3 != 0),
% 2.65/1.18 inference(cnf_transformation,[],[f89])).
% 2.65/1.18
% 2.65/1.18 cnf(c_87,negated_conjecture,
% 2.65/1.18 (empty_set = sK2|sK3 = 0),
% 2.65/1.18 inference(cnf_transformation,[],[f88])).
% 2.65/1.18
% 2.65/1.18 cnf(c_88,negated_conjecture,
% 2.65/1.18 (cardinality(sK2) = sK3),
% 2.65/1.18 inference(cnf_transformation,[],[f87])).
% 2.65/1.18
% 2.65/1.18 cnf(c_1949,plain,
% 2.65/1.18 (sK3 != 0|empty_set = sK2),
% 2.65/1.18 inference(superposition,[status(thm)],[c_88,c_77])).
% 2.65/1.18
% 2.65/1.18 cnf(c_2106,plain,
% 2.65/1.18 (empty_set = sK2),
% 2.65/1.18 inference(global_subsumption_just,[status(thm)],[c_1949,c_87,c_1949])).
% 2.65/1.18
% 2.65/1.18 cnf(c_2108,plain,
% 2.65/1.18 (empty_set != empty_set|sK3 != 0),
% 2.65/1.18 inference(demodulation,[status(thm)],[c_86,c_2106])).
% 2.65/1.18
% 2.65/1.18 cnf(c_2109,plain,
% 2.65/1.18 (cardinality(empty_set) = sK3),
% 2.65/1.18 inference(demodulation,[status(thm)],[c_88,c_2106])).
% 2.65/1.18
% 2.65/1.18 cnf(c_2111,plain,
% 2.65/1.18 (sK3 = 0),
% 2.65/1.18 inference(light_normalisation,[status(thm)],[c_2109,c_76])).
% 2.65/1.18
% 2.65/1.18 cnf(c_2112,plain,
% 2.65/1.18 (sK3 != 0),
% 2.65/1.18 inference(equality_resolution_simp,[status(thm)],[c_2108])).
% 2.65/1.18
% 2.65/1.18 cnf(c_2113,plain,
% 2.65/1.18 ($false),
% 2.65/1.18 inference(forward_subsumption_resolution,[status(thm)],[c_2112,c_2111])).
% 2.65/1.18
% 2.65/1.18
% 2.65/1.18 % SZS output end CNFRefutation for theBenchmark.p
% 2.65/1.18
% 2.65/1.18
%------------------------------------------------------------------------------