0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : java -Xss128m -Xmx4g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar %s -t %d -p --atp cvc4=/export/starexec/sandbox/solver/bin/externals/cvc4 --atp e=/export/starexec/sandbox/solver/bin/externals/eprover --atp iprover=/export/starexec/sandbox/solver/bin/externals/iprover 0.03/0.25 % Computer : n059.star.cs.uiowa.edu 0.03/0.25 % Model : x86_64 x86_64 0.03/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.25 % Memory : 32218.625MB 0.03/0.25 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.25 % CPULimit : 300 0.03/0.25 % DateTime : Sat Jul 14 04:25:55 CDT 2018 0.03/0.25 % CPUTime : 2.26/1.41 % [INFO] Running in sequential loop mode. 2.81/1.64 % [CONFIG] Using configuration: timeout(300) with strategy 3.24/1.73 % [INFO] iprover registered as external prover. 3.24/1.73 % [INFO] e registered as external prover. 3.24/1.73 % [INFO] cvc4 registered as external prover. 3.24/1.74 % [INFO] Parsing finished. Scanning for conjecture ... 3.47/1.78 % [INFO] Found a conjecture and 32 axioms. Running axiom selection ... 3.75/1.85 % [INFO] Axiom selection finished. Selected 32 axioms (removed 0 axioms). 4.11/1.94 % [INFO] Type checking passed. Searching for refutation ... 7.94/3.25 % [INFO] Killing All external provers ... 7.94/3.26 % Time passed: 2903ms 7.94/3.26 % Effective reasoning time: 1838ms 7.94/3.26 % Solved by strategy 7.94/3.26 % Axioms used in derivation (32): wec, completeness, nevera, noc, tca, eth, thm, uns, contradiction, nota, sca, csa, mighta, wca, eqv, isa, tau, cax, tautology, tac, non_thm_spt, wtc, xora, not, sat_non_taut_pair, satisfiable, wth, sat, sap, unp, esa, mixed_pair 7.94/3.26 % No. of inferences in proof: 68 7.94/3.26 % No. of processed clauses: 1 7.94/3.26 % No. of generated clauses: 0 7.94/3.26 % No. of forward subsumed clauses: 0 7.94/3.26 % No. of backward subsumed clauses: 0 7.94/3.26 % No. of ground rewrite rules in store: 1 7.94/3.26 % No. of non-ground rewrite rules in store: 0 7.94/3.26 % No. of positive (non-rewrite) units in store: 0 7.94/3.26 % No. of negative (non-rewrite) units in store: 0 7.94/3.26 % No. of choice functions detected: 0 7.94/3.26 % No. of choice instantiations: 0 7.94/3.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2903 ms resp. 1838 ms w/o parsing 8.04/3.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 8.04/3.33 thf(esa_type, type, esa: $i). 8.04/3.33 thf(thm_type, type, thm: $i). 8.04/3.33 thf(nota_type, type, nota: ($i > ($i > $o))). 8.04/3.33 thf(uns_type, type, uns: $i). 8.04/3.33 thf(status_type, type, status: ($i > ($i > ($i > $o)))). 8.04/3.33 thf(not_type, type, not: ($i > $i)). 8.04/3.33 thf(model_type, type, model: ($i > ($i > $o))). 8.04/3.33 thf(nevera_type, type, nevera: ($i > ($i > $o))). 8.04/3.33 thf(tac_type, type, tac: $i). 8.04/3.33 thf(sap_type, type, sap: $i). 8.04/3.33 thf(mighta_type, type, mighta: ($i > ($i > $o))). 8.04/3.33 thf(cax_type, type, cax: $i). 8.04/3.33 thf(unp_type, type, unp: $i). 8.04/3.33 thf(wca_type, type, wca: $i). 8.04/3.33 thf(noc_type, type, noc: $i). 8.04/3.33 thf(wec_type, type, wec: $i). 8.04/3.33 thf(isa_type, type, isa: ($i > ($i > $o))). 8.04/3.33 thf(csa_type, type, csa: $i). 8.04/3.33 thf(wtc_type, type, wtc: $i). 8.04/3.33 thf(wth_type, type, wth: $i). 8.04/3.33 thf(sat_type, type, sat: $i). 8.04/3.33 thf(eth_type, type, eth: $i). 8.04/3.33 thf(tca_type, type, tca: $i). 8.04/3.33 thf(eqv_type, type, eqv: $i). 8.04/3.33 thf(xora_type, type, xora: ($i > ($i > $o))). 8.04/3.33 thf(sca_type, type, sca: $i). 8.04/3.33 thf(tau_type, type, tau: $i). 8.04/3.33 thf(6,axiom,((! [A:$i,B:$i]: ((status @ A @ B @ sap) <=> ((? [C:$i]: (model @ C @ B)) <= (? [C:$i]: (model @ C @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',sap)). 8.04/3.33 thf(56,plain,((! [A:$i,B:$i]: (((status @ A @ B @ sap) => (? [C:$i]: (model @ C @ B) | ~ (? [C:$i]: (model @ C @ A)))) & ((? [C:$i]: (model @ C @ B) | ~ (? [C:$i]: (model @ C @ A))) => (status @ A @ B @ sap))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])). 8.04/3.33 thf(21,axiom,((! [A:$i,B:$i]: ((status @ A @ B @ wtc) <=> (? [C:$i]: (model @ C @ A) & ? [C:$i]: ~ (model @ C @ A) & ! [C:$i]: (model @ C @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',wtc)). 8.04/3.33 thf(153,plain,((! [A:$i,B:$i]: (((status @ A @ B @ wtc) => (? [C:$i]: (model @ C @ A) & ? [C:$i]: ~ (model @ C @ A) & ! [C:$i]: (model @ C @ B))) & ((? [C:$i]: (model @ C @ A) & ? [C:$i]: ~ (model @ C @ A) & ! [C:$i]: (model @ C @ B)) => (status @ A @ B @ wtc))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])). 8.04/3.33 thf(10,axiom,((! [A:$i,B:$i]: ((~ (model @ A @ (not @ B))) <=> (model @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',not)). 8.04/3.33 thf(78,plain,((! [A:$i,B:$i]: (((~ (model @ A @ (not @ B))) => (model @ A @ B)) & ((model @ A @ B) => (~ (model @ A @ (not @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])). 8.04/3.33 thf(14,axiom,((? [A:$i,B:$i]: (? [C:$i]: (~ (model @ C @ B) | ~ (model @ C @ A)) & ? [C:$i]: ((model @ C @ B) & (model @ C @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',sat_non_taut_pair)). 8.04/3.33 thf(106,plain,((? [A:$i,B:$i]: (? [C:$i]: (~ (model @ C @ B) | ~ (model @ C @ A)) & ? [C:$i]: ((model @ C @ B) & (model @ C @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])). 8.04/3.33 thf(31,axiom,((! [A:$i,B:$i]: ((! [C:$i]: ((model @ C @ A) & (model @ C @ B))) <=> (status @ A @ B @ tau)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',tau)). 8.04/3.33 thf(243,plain,((! [A:$i,B:$i]: (((! [C:$i]: ((model @ C @ A) & (model @ C @ B))) => (status @ A @ B @ tau)) & ((status @ A @ B @ tau) => (! [C:$i]: ((model @ C @ A) & (model @ C @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[31])). 8.04/3.33 thf(28,axiom,((? [A:$i]: (? [B:$i]: ~ (model @ B @ A) & ? [B:$i]: (model @ B @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',satisfiable)). 8.04/3.33 thf(220,plain,((? [A:$i]: (? [B:$i]: ~ (model @ B @ A) & ? [B:$i]: (model @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[28])). 8.04/3.33 thf(22,axiom,((! [A:$i,B:$i]: ((status @ A @ B @ wth) <=> (? [C:$i]: (model @ C @ A) & ? [C:$i]: ~ (model @ C @ B) & ? [C:$i]: ((model @ C @ B) & ~ (model @ C @ A)) & ! [C:$i]: ((model @ C @ B) <= (model @ C @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',wth)). 8.04/3.33 thf(160,plain,((! [A:$i,B:$i]: (((status @ A @ B @ wth) => (? [C:$i]: (model @ C @ A) & ? [C:$i]: ~ (model @ C @ B) & ? [C:$i]: ((model @ C @ B) & ~ (model @ C @ A)) & ! [C:$i]: ((model @ C @ B) | ~ (model @ C @ A)))) & ((? [C:$i]: (model @ C @ A) & ? [C:$i]: ~ (model @ C @ B) & ? [C:$i]: ((model @ C @ B) & ~ (model @ C @ A)) & ! [C:$i]: ((model @ C @ B) | ~ (model @ C @ A))) => (status @ A @ B @ wth))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])). 8.04/3.33 thf(8,axiom,((? [A:$i]: ! [B:$i]: ~ (model @ B @ A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',contradiction)). 8.04/3.33 thf(70,plain,((? [A:$i]: ! [B:$i]: ~ (model @ B @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])). 8.04/3.33 thf(18,axiom,((! [A:$i,B:$i]: ((isa @ A @ B) <=> (! [C:$i,D:$i]: ((status @ C @ D @ B) <= (status @ C @ D @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa)). 8.04/3.33 thf(137,plain,((! [A:$i,B:$i]: (((isa @ A @ B) => (! [C:$i,D:$i]: ((status @ C @ D @ B) | ~ (status @ C @ D @ A)))) & ((! [C:$i,D:$i]: ((status @ C @ D @ B) | ~ (status @ C @ D @ A))) => (isa @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])). 8.04/3.33 thf(13,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ~ (model @ C @ B) & ? [C:$i]: (model @ C @ B) & ~ (? [C:$i]: (model @ C @ A))) <=> (status @ A @ B @ wca)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',wca)). 8.04/3.33 thf(97,plain,((! [A:$i,B:$i]: (((? [C:$i]: ~ (model @ C @ B) & ? [C:$i]: (model @ C @ B) & ~ (? [C:$i]: (model @ C @ A))) => (status @ A @ B @ wca)) & ((status @ A @ B @ wca) => (? [C:$i]: ~ (model @ C @ B) & ? [C:$i]: (model @ C @ B) & ~ (? [C:$i]: (model @ C @ A))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])). 8.04/3.33 thf(29,axiom,((! [A:$i,B:$i]: ((! [C:$i,D:$i]: ((status @ C @ D @ B) <~> (status @ C @ D @ A))) <=> (xora @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',xora)). 8.04/3.33 thf(224,plain,((! [A:$i,B:$i]: (((! [C:$i,D:$i]: ~ (((status @ C @ D @ B) => (status @ C @ D @ A)) & ((status @ C @ D @ B) | ~ (status @ C @ D @ A)))) => (xora @ A @ B)) & ((xora @ A @ B) => (! [C:$i,D:$i]: ~ (((status @ C @ D @ B) => (status @ C @ D @ A)) & ((status @ C @ D @ B) | ~ (status @ C @ D @ A)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[29])). 8.04/3.33 thf(33,axiom,((! [A:$i,B:$i]: ((! [C:$i]: ((model @ C @ A) => (model @ C @ B))) <=> (status @ A @ B @ thm)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm)). 8.04/3.33 thf(256,plain,((! [A:$i,B:$i]: (((! [C:$i]: ((model @ C @ A) => (model @ C @ B))) => (status @ A @ B @ thm)) & ((status @ A @ B @ thm) => (! [C:$i]: ((model @ C @ A) => (model @ C @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[33])). 8.04/3.33 thf(25,axiom,((! [A:$i,B:$i]: ((status @ A @ B @ tca) <=> (~ (? [C:$i]: (model @ C @ A)) & ! [C:$i]: (model @ C @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',tca)). 8.04/3.33 thf(193,plain,((! [A:$i,B:$i]: (((status @ A @ B @ tca) => (~ (? [C:$i]: (model @ C @ A)) & ! [C:$i]: (model @ C @ B))) & ((~ (? [C:$i]: (model @ C @ A)) & ! [C:$i]: (model @ C @ B)) => (status @ A @ B @ tca))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[25])). 8.04/3.33 thf(9,axiom,((! [A:$i,B:$i]: ((status @ A @ B @ cax) <=> (~ (? [C:$i]: (model @ C @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',cax)). 8.04/3.33 thf(73,plain,((! [A:$i,B:$i]: (((status @ A @ B @ cax) => (~ (? [C:$i]: (model @ C @ A)))) & ((~ (? [C:$i]: (model @ C @ A))) => (status @ A @ B @ cax))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])). 8.04/3.33 thf(19,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((model @ C @ A) & (model @ C @ (not @ B)))) <=> (status @ A @ B @ csa)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',csa)). 8.04/3.33 thf(144,plain,((! [A:$i,B:$i]: (((? [C:$i]: ((model @ C @ A) & (model @ C @ (not @ B)))) => (status @ A @ B @ csa)) & ((status @ A @ B @ csa) => (? [C:$i]: ((model @ C @ A) & (model @ C @ (not @ B)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])). 8.04/3.33 thf(30,axiom,((! [A:$i,B:$i]: ((~ (? [C:$i]: (model @ C @ A)) & ? [C:$i]: (model @ C @ B)) <=> (status @ A @ B @ sca)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',sca)). 8.04/3.33 thf(236,plain,((! [A:$i,B:$i]: (((~ (? [C:$i]: (model @ C @ A)) & ? [C:$i]: (model @ C @ B)) => (status @ A @ B @ sca)) & ((status @ A @ B @ sca) => (~ (? [C:$i]: (model @ C @ A)) & ? [C:$i]: (model @ C @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[30])). 8.04/3.33 thf(1,conjecture,((nota @ esa @ thm)),file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_esa_thm)). 8.04/3.33 thf(2,negated_conjecture,((~ (nota @ esa @ thm))),inference(neg_conjecture,[status(cth)],[1])). 8.04/3.33 thf(35,plain,((~ (nota @ esa @ thm))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 8.04/3.33 thf(7,axiom,((! [A:$i,B:$i]: ((? [C:$i,D:$i]: ((status @ C @ D @ A) & (status @ C @ D @ B))) <=> (mighta @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta)). 8.04/3.33 thf(63,plain,((! [A:$i,B:$i]: (((? [C:$i,D:$i]: ((status @ C @ D @ A) & (status @ C @ D @ B))) => (mighta @ A @ B)) & ((mighta @ A @ B) => (? [C:$i,D:$i]: ((status @ C @ D @ A) & (status @ C @ D @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])). 8.04/3.33 thf(5,axiom,((! [A:$i,B:$i]: ((status @ A @ B @ tac) <=> (? [C:$i]: (model @ C @ A) & ! [C:$i]: (model @ C @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',tac)). 8.04/3.33 thf(50,plain,((! [A:$i,B:$i]: (((status @ A @ B @ tac) => (? [C:$i]: (model @ C @ A) & ! [C:$i]: (model @ C @ B))) & ((? [C:$i]: (model @ C @ A) & ! [C:$i]: (model @ C @ B)) => (status @ A @ B @ tac))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])). 8.04/3.33 thf(17,axiom,((! [A:$i,B:$i]: ((status @ A @ B @ wec) <=> (? [C:$i]: (model @ C @ A) & ? [C:$i]: (~ (model @ C @ A) & (model @ C @ B)) & ! [C:$i]: ((model @ C @ A) => (model @ C @ B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',wec)). 8.04/3.33 thf(127,plain,((! [A:$i,B:$i]: (((status @ A @ B @ wec) => (? [C:$i]: (model @ C @ A) & ? [C:$i]: (~ (model @ C @ A) & (model @ C @ B)) & ! [C:$i]: ((model @ C @ A) => (model @ C @ B)))) & ((? [C:$i]: (model @ C @ A) & ? [C:$i]: (~ (model @ C @ A) & (model @ C @ B)) & ! [C:$i]: ((model @ C @ A) => (model @ C @ B))) => (status @ A @ B @ wec))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[17])). 8.04/3.33 thf(4,axiom,((! [A:$i,B:$i]: ((nevera @ A @ B) <=> (! [C:$i,D:$i]: ((~ (status @ C @ D @ B)) <= (status @ C @ D @ A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',nevera)). 8.04/3.33 thf(43,plain,((! [A:$i,B:$i]: (((nevera @ A @ B) => (! [C:$i,D:$i]: (~ (status @ C @ D @ B) | ~ (status @ C @ D @ A)))) & ((! [C:$i,D:$i]: (~ (status @ C @ D @ B) | ~ (status @ C @ D @ A))) => (nevera @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])). 8.04/3.33 thf(32,axiom,((! [A:$i,B:$i]: ((nota @ A @ B) <=> (? [C:$i,D:$i]: ((status @ C @ D @ A) & ~ (status @ C @ D @ B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota)). 8.04/3.33 thf(250,plain,((! [A:$i,B:$i]: (((nota @ A @ B) => (? [C:$i,D:$i]: ((status @ C @ D @ A) & ~ (status @ C @ D @ B)))) & ((? [C:$i,D:$i]: ((status @ C @ D @ A) & ~ (status @ C @ D @ B))) => (nota @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[32])). 8.04/3.33 thf(23,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((model @ C @ A) & (model @ C @ B))) <=> (status @ A @ B @ sat)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',sat)). 8.04/3.33 thf(171,plain,((! [A:$i,B:$i]: (((? [C:$i]: ((model @ C @ A) & (model @ C @ B))) => (status @ A @ B @ sat)) & ((status @ A @ B @ sat) => (? [C:$i]: ((model @ C @ A) & (model @ C @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[23])). 8.04/3.33 thf(27,axiom,((! [A:$i,B:$i]: ((model @ A @ B) <~> (model @ A @ (not @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',completeness)). 8.04/3.33 thf(214,plain,((! [A:$i,B:$i]: ~ (((model @ A @ B) => (model @ A @ (not @ B))) & ((model @ A @ B) | ~ (model @ A @ (not @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[27])). 8.04/3.33 thf(20,axiom,((? [A:$i]: ! [B:$i]: (model @ B @ A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology)). 8.04/3.33 thf(151,plain,((? [A:$i]: ! [B:$i]: (model @ B @ A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])). 8.04/3.33 thf(3,axiom,((! [A:$i,B:$i]: ((status @ A @ B @ uns) <=> (! [C:$i]: (model @ C @ (not @ B)) & ! [C:$i]: (model @ C @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',uns)). 8.04/3.33 thf(36,plain,((! [A:$i,B:$i]: (((status @ A @ B @ uns) => (! [C:$i]: (model @ C @ (not @ B)) & ! [C:$i]: (model @ C @ A))) & ((! [C:$i]: (model @ C @ (not @ B)) & ! [C:$i]: (model @ C @ A)) => (status @ A @ B @ uns))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])). 8.04/3.33 thf(34,axiom,((! [A:$i,B:$i]: (((? [C:$i]: (model @ C @ B)) <=> (? [C:$i]: (model @ C @ A))) <=> (status @ A @ B @ esa)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',esa)). 8.04/3.33 thf(262,plain,((! [A:$i,B:$i]: (((((? [C:$i]: (model @ C @ B)) => (? [C:$i]: (model @ C @ A))) & ((? [C:$i]: (model @ C @ A)) => (? [C:$i]: (model @ C @ B)))) => (status @ A @ B @ esa)) & ((status @ A @ B @ esa) => (((? [C:$i]: (model @ C @ B)) => (? [C:$i]: (model @ C @ A))) & ((? [C:$i]: (model @ C @ A)) => (? [C:$i]: (model @ C @ B)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[34])). 8.04/3.33 thf(26,axiom,((! [A:$i,B:$i]: ((status @ A @ B @ eqv) <=> (! [C:$i]: ((model @ C @ A) <=> (model @ C @ B)) & ? [C:$i]: (model @ C @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqv)). 8.04/3.33 thf(200,plain,((! [A:$i,B:$i]: (((status @ A @ B @ eqv) => (! [C:$i]: (((model @ C @ A) => (model @ C @ B)) & ((model @ C @ B) => (model @ C @ A))) & ? [C:$i]: (model @ C @ A))) & ((! [C:$i]: (((model @ C @ A) => (model @ C @ B)) & ((model @ C @ B) => (model @ C @ A))) & ? [C:$i]: (model @ C @ A)) => (status @ A @ B @ eqv))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[26])). 8.04/3.33 thf(24,axiom,((! [A:$i,B:$i]: ((status @ A @ B @ eth) <=> (! [C:$i]: ((model @ C @ B) <=> (model @ C @ A)) & ? [C:$i]: ~ (model @ C @ A) & ? [C:$i]: (model @ C @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',eth)). 8.04/3.33 thf(178,plain,((! [A:$i,B:$i]: (((status @ A @ B @ eth) => (! [C:$i]: (((model @ C @ B) => (model @ C @ A)) & ((model @ C @ A) => (model @ C @ B))) & ? [C:$i]: ~ (model @ C @ A) & ? [C:$i]: (model @ C @ A))) & ((! [C:$i]: (((model @ C @ B) => (model @ C @ A)) & ((model @ C @ A) => (model @ C @ B))) & ? [C:$i]: ~ (model @ C @ A) & ? [C:$i]: (model @ C @ A)) => (status @ A @ B @ eth))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])). 8.04/3.33 thf(12,axiom,((? [A:$i,B:$i]: (! [C:$i]: ((model @ C @ B) <= (model @ C @ A)) & ? [C:$i]: (~ (model @ C @ A) & (model @ C @ B)) & ? [C:$i]: ~ (model @ C @ B) & ? [C:$i]: (model @ C @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mixed_pair)). 8.04/3.33 thf(90,plain,((? [A:$i,B:$i]: (! [C:$i]: ((model @ C @ B) | ~ (model @ C @ A)) & ? [C:$i]: (~ (model @ C @ A) & (model @ C @ B)) & ? [C:$i]: ~ (model @ C @ B) & ? [C:$i]: (model @ C @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])). 8.04/3.33 thf(15,axiom,((! [A:$i,B:$i]: ((? [C:$i]: ((model @ C @ B) & (model @ C @ A)) & ? [C:$i]: ((model @ C @ A) & (model @ C @ (not @ B)))) <=> (status @ A @ B @ noc)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',noc)). 8.04/3.33 thf(111,plain,((! [A:$i,B:$i]: (((? [C:$i]: ((model @ C @ B) & (model @ C @ A)) & ? [C:$i]: ((model @ C @ A) & (model @ C @ (not @ B)))) => (status @ A @ B @ noc)) & ((status @ A @ B @ noc) => (? [C:$i]: ((model @ C @ B) & (model @ C @ A)) & ? [C:$i]: ((model @ C @ A) & (model @ C @ (not @ B)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])). 8.04/3.33 thf(16,axiom,((? [A:$i,B:$i,C:$i]: (~ (model @ A @ C) & ? [D:$i]: (model @ D @ C) & (model @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_thm_spt)). 8.04/3.33 thf(122,plain,((? [A:$i,B:$i,C:$i]: (~ (model @ A @ C) & ? [D:$i]: (model @ D @ C) & (model @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])). 8.04/3.33 thf(11,axiom,((! [A:$i,B:$i]: ((status @ A @ B @ unp) <=> ((~ (? [C:$i]: (model @ C @ B))) <= (~ (? [C:$i]: (model @ C @ A))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',unp)). 8.04/3.33 thf(83,plain,((! [A:$i,B:$i]: (((status @ A @ B @ unp) => (~ (? [C:$i]: (model @ C @ B)) | ? [C:$i]: (model @ C @ A))) & ((~ (? [C:$i]: (model @ C @ B)) | ? [C:$i]: (model @ C @ A)) => (status @ A @ B @ unp))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])). 8.04/3.33 thf(273,plain,($false),inference(e,[status(thm)],[56,153,78,106,243,220,160,70,137,97,224,256,193,73,144,236,35,63,50,127,43,250,171,214,151,36,262,200,178,90,111,122,83])). 8.04/3.33 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 8.04/3.33 % [INFO] Killing All external provers ... 8.21/3.38 EOF