0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_epr.jar %d %s 0.11/0.32 % Computer : n008.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Thu Jul 2 07:31:14 EDT 2020 0.11/0.33 % CPUTime : 0.17/0.40 openjdk version "1.8.0_171" 0.17/0.40 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.17/0.40 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.17/0.41 file=/export/starexec/sandbox2/benchmark/theBenchmark.p 0.38/0.53 start to proof:theBenchmark.p 0.59/0.67 % Version : CSE_E---1.2 0.59/0.67 % Problem : theBenchmark.p 0.59/0.67 % Proof found! 0.59/0.67 % SZS status Theorem for theBenchmark.p 0.59/0.67 % SZS output start Proof 0.59/0.67 fof(conj_thm_2Ebinary__ieee_2Eneg__ulp, conjecture, ![X13]:(![X14]:(ap(c_2Ebinary__ieee_2Efloat__to__real(X13,X14),ap(c_2Ebinary__ieee_2Efloat__negate(X13,X14),ap(c_2Ebinary__ieee_2Efloat__plus__min(X13,X14),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X13,X14)))))=ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X13,X14),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X13,X14))))<=ne(X14))<=ne(X13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Ebinary__ieee_2Eneg__ulp)). 0.59/0.67 fof(conj_thm_2Ebinary__ieee_2Efloat__to__real__negate, axiom, ![X9]:(![X15]:(![X10]:(mem(X10,ty_2Ebinary__ieee_2Efloat(X9,X15))=>ap(c_2Ebinary__ieee_2Efloat__to__real(X9,X15),ap(c_2Ebinary__ieee_2Efloat__negate(X9,X15),X10))=ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X9,X15),X10)))<=ne(X15))<=ne(X9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Ebinary__ieee_2Efloat__to__real__negate)). 0.59/0.67 fof(conj_thm_2Ebinary__ieee_2Eulp, axiom, ![X13]:(![X14]:(ne(X14)=>ap(c_2Ebinary__ieee_2Efloat__to__real(X13,X14),ap(c_2Ebinary__ieee_2Efloat__plus__min(X13,X14),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X13,X14))))=ap(c_2Ebinary__ieee_2Eulp(X13,X14),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X13,X14))))<=ne(X13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Ebinary__ieee_2Eulp)). 0.59/0.67 fof(ap_tp, axiom, ![X1, X5, X6]:(mem(X6,arr(X1,X5))=>![X2]:(mem(X2,X1)=>mem(ap(X6,X2),X5))), file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001+2.ax', ap_tp)). 0.59/0.67 fof(mem_c_2Ebinary__ieee_2Efloat__plus__min, axiom, ![X13]:(ne(X13)=>![X14]:(ne(X14)=>mem(c_2Ebinary__ieee_2Efloat__plus__min(X13,X14),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X13,X14)),ty_2Ebinary__ieee_2Efloat(X13,X14))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mem_c_2Ebinary__ieee_2Efloat__plus__min)). 0.59/0.67 fof(mem_c_2Ebool_2Ethe__value, axiom, ![X9]:(mem(c_2Ebool_2Ethe__value(X9),ty_2Ebool_2Eitself(X9))<=ne(X9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mem_c_2Ebool_2Ethe__value)). 0.59/0.67 fof(ne_ty_2Epair_2Eprod, axiom, ![X11]:(![X12]:(ne(X12)=>ne(ty_2Epair_2Eprod(X11,X12)))<=ne(X11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ne_ty_2Epair_2Eprod)). 0.59/0.67 fof(c_0_7, negated_conjecture, ~(![X13]:(![X14]:(ap(c_2Ebinary__ieee_2Efloat__to__real(X13,X14),ap(c_2Ebinary__ieee_2Efloat__negate(X13,X14),ap(c_2Ebinary__ieee_2Efloat__plus__min(X13,X14),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X13,X14)))))=ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X13,X14),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X13,X14))))<=ne(X14))<=ne(X13))), inference(assume_negation,[status(cth)],[conj_thm_2Ebinary__ieee_2Eneg__ulp])). 0.59/0.67 fof(c_0_8, negated_conjecture, (ne(esk3_0)&(ne(esk4_0)&ap(c_2Ebinary__ieee_2Efloat__to__real(esk3_0,esk4_0),ap(c_2Ebinary__ieee_2Efloat__negate(esk3_0,esk4_0),ap(c_2Ebinary__ieee_2Efloat__plus__min(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0)))))!=ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7])])])])). 0.59/0.67 fof(c_0_9, plain, ![X49, X50, X51]:(~ne(X49)|(~ne(X50)|(~mem(X51,ty_2Ebinary__ieee_2Efloat(X49,X50))|ap(c_2Ebinary__ieee_2Efloat__to__real(X49,X50),ap(c_2Ebinary__ieee_2Efloat__negate(X49,X50),X51))=ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X49,X50),X51))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[conj_thm_2Ebinary__ieee_2Efloat__to__real__negate])])])])). 0.59/0.67 cnf(c_0_10, negated_conjecture, (ap(c_2Ebinary__ieee_2Efloat__to__real(esk3_0,esk4_0),ap(c_2Ebinary__ieee_2Efloat__negate(esk3_0,esk4_0),ap(c_2Ebinary__ieee_2Efloat__plus__min(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0)))))!=ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0))))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.59/0.67 cnf(c_0_11, plain, (ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),ap(c_2Ebinary__ieee_2Efloat__negate(X1,X2),X3))=ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),X3))|~ne(X1)|~ne(X2)|~mem(X3,ty_2Ebinary__ieee_2Efloat(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.59/0.67 cnf(c_0_12, negated_conjecture, (ne(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.59/0.67 cnf(c_0_13, negated_conjecture, (ne(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.59/0.67 fof(c_0_14, plain, ![X59, X60]:(~ne(X59)|(~ne(X60)|ap(c_2Ebinary__ieee_2Efloat__to__real(X59,X60),ap(c_2Ebinary__ieee_2Efloat__plus__min(X59,X60),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X59,X60))))=ap(c_2Ebinary__ieee_2Eulp(X59,X60),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X59,X60))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[conj_thm_2Ebinary__ieee_2Eulp])])])])). 0.59/0.67 fof(c_0_15, plain, ![X30, X31, X32, X33]:(~mem(X32,arr(X30,X31))|(~mem(X33,X30)|mem(ap(X32,X33),X31))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])). 0.59/0.67 fof(c_0_16, plain, ![X46, X47]:(~ne(X46)|(~ne(X47)|mem(c_2Ebinary__ieee_2Efloat__plus__min(X46,X47),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X46,X47)),ty_2Ebinary__ieee_2Efloat(X46,X47))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Ebinary__ieee_2Efloat__plus__min])])])). 0.59/0.67 cnf(c_0_17, negated_conjecture, (ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(esk3_0,esk4_0),ap(c_2Ebinary__ieee_2Efloat__plus__min(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0)))))!=ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0))))|~mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0))),ty_2Ebinary__ieee_2Efloat(esk3_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_12]), c_0_13])])). 0.59/0.67 cnf(c_0_18, plain, (ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X2))))=ap(c_2Ebinary__ieee_2Eulp(X1,X2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X2)))|~ne(X1)|~ne(X2)), inference(split_conjunct,[status(thm)],[c_0_14])). 0.59/0.67 cnf(c_0_19, plain, (mem(ap(X1,X4),X3)|~mem(X1,arr(X2,X3))|~mem(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_15])). 0.59/0.67 cnf(c_0_20, plain, (mem(c_2Ebinary__ieee_2Efloat__plus__min(X1,X2),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X2)),ty_2Ebinary__ieee_2Efloat(X1,X2)))|~ne(X1)|~ne(X2)), inference(split_conjunct,[status(thm)],[c_0_16])). 0.59/0.67 cnf(c_0_21, negated_conjecture, (~mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0))),ty_2Ebinary__ieee_2Efloat(esk3_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_12]), c_0_13])])). 0.59/0.67 cnf(c_0_22, plain, (mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X2),X3),ty_2Ebinary__ieee_2Efloat(X1,X2))|~ne(X2)|~ne(X1)|~mem(X3,ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X2)))), inference(spm,[status(thm)],[c_0_19, c_0_20])). 0.59/0.67 fof(c_0_23, plain, ![X35]:(~ne(X35)|mem(c_2Ebool_2Ethe__value(X35),ty_2Ebool_2Eitself(X35))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mem_c_2Ebool_2Ethe__value])])])). 0.59/0.67 cnf(c_0_24, negated_conjecture, (~mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0)),ty_2Ebool_2Eitself(ty_2Epair_2Eprod(esk3_0,esk4_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_12]), c_0_13])])). 0.59/0.67 cnf(c_0_25, plain, (mem(c_2Ebool_2Ethe__value(X1),ty_2Ebool_2Eitself(X1))|~ne(X1)), inference(split_conjunct,[status(thm)],[c_0_23])). 0.59/0.67 fof(c_0_26, plain, ![X38, X39]:(~ne(X38)|(~ne(X39)|ne(ty_2Epair_2Eprod(X38,X39)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ne_ty_2Epair_2Eprod])])])])). 0.59/0.67 cnf(c_0_27, negated_conjecture, (~ne(ty_2Epair_2Eprod(esk3_0,esk4_0))), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.59/0.67 cnf(c_0_28, plain, (ne(ty_2Epair_2Eprod(X1,X2))|~ne(X1)|~ne(X2)), inference(split_conjunct,[status(thm)],[c_0_26])). 0.59/0.67 cnf(c_0_29, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_12]), c_0_13])]), ['proof']). 0.59/0.67 % SZS output end Proof 0.59/0.67 % User time : 0.031 s 0.59/0.67 % System time : 0.005 s 0.59/0.67 % Total time : 0.036 s 0.59/0.67 0.65/0.69 EOF