0.05/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s 0.09/0.29 % Computer : n006.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 : 960 0.09/0.29 % WCLimit : 120 0.09/0.29 % DateTime : Tue Aug 9 03:14:14 EDT 2022 0.09/0.29 % CPUTime : 0.14/0.38 openjdk version "1.8.0_171" 0.14/0.38 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.14/0.38 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.14/0.38 file=/export/starexec/sandbox/benchmark/theBenchmark.p 0.43/0.61 start to proof: theBenchmark 0.56/0.69 % Version : CSE_E---1.4 0.56/0.69 % Problem : theBenchmark.p 0.56/0.69 % Proof found 0.56/0.69 % SZS status Theorem for theBenchmark.p 0.56/0.69 % SZS output start Proof 0.56/0.69 fof(succ_plus_2_r, axiom, ![X13]:succ(succ(X13))=plus(X13,n2), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', succ_plus_2_r)). 0.56/0.69 fof(succ_plus_1_r, axiom, ![X13]:succ(X13)=plus(X13,n1), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', succ_plus_1_r)). 0.56/0.69 fof(succ_plus_1_l, axiom, ![X13]:succ(X13)=plus(n1,X13), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', succ_plus_1_l)). 0.56/0.69 fof(succ_plus_2_l, axiom, ![X13]:succ(succ(X13))=plus(n2,X13), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', succ_plus_2_l)). 0.56/0.69 fof(succ_plus_3_l, axiom, ![X13]:plus(n3,X13)=succ(succ(succ(X13))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', succ_plus_3_l)). 0.56/0.69 fof(successor_2, axiom, succ(succ(n0))=n2, file('/export/starexec/sandbox/benchmark/theBenchmark.p', successor_2)). 0.56/0.69 fof(successor_1, axiom, n1=succ(n0), file('/export/starexec/sandbox/benchmark/theBenchmark.p', successor_1)). 0.56/0.69 fof(succ_plus_3_r, axiom, ![X13]:succ(succ(succ(X13)))=plus(X13,n3), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', succ_plus_3_r)). 0.56/0.69 fof(succ_plus_4_r, axiom, ![X13]:plus(X13,n4)=succ(succ(succ(succ(X13)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', succ_plus_4_r)). 0.56/0.69 fof(successor_3, axiom, n3=succ(succ(succ(n0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', successor_3)). 0.56/0.69 fof(quaternion_ds1_inuse_0019, conjecture, (((((((((((((((((((((((((((((use=a_select2(rho_defuse,n1)&use=a_select2(rho_defuse,n2))&use=a_select2(sigma_defuse,n1))&a_select2(sigma_defuse,n4)=use)&a_select2(sigma_defuse,n5)=use)&a_select3(u_defuse,n1,n0)=use)&use=a_select2(xinit_defuse,n4))&a_select2(xinit_defuse,n5)=use)&use=a_select2(xinit_mean_defuse,n1))&a_select2(xinit_mean_defuse,n2)=use)&a_select2(xinit_mean_defuse,n4)=use)&a_select2(xinit_noise_defuse,n0)=use)&use=a_select2(xinit_noise_defuse,n1))&a_select2(xinit_noise_defuse,n2)=use)&a_select2(xinit_noise_defuse,n5)=use)&![X3, X4]:((((leq(X3,n2)&leq(X4,n998))&leq(n0,X4))&leq(n0,X3))=>a_select3(z_defuse,X3,X4)=use))&![X1, X2]:(a_select3(u_defuse,X1,X2)=use<=(((leq(X1,n2)&leq(X2,n998))&leq(n0,X2))&leq(n0,X1))))&a_select2(xinit_noise_defuse,n4)=use)&a_select2(xinit_noise_defuse,n3)=use)&use=a_select2(xinit_mean_defuse,n5))&a_select2(xinit_mean_defuse,n3)=use)&use=a_select2(xinit_mean_defuse,n0))&use=a_select2(xinit_defuse,n3))&use=a_select3(u_defuse,n2,n0))&a_select3(u_defuse,n0,n0)=use)&a_select2(sigma_defuse,n3)=use)&use=a_select2(sigma_defuse,n2))&a_select2(sigma_defuse,n0)=use)&use=a_select2(rho_defuse,n0))=>![X5]:(a_select2(xinit_mean_defuse,X5)=use<=(leq(X5,n5)&leq(n0,X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', quaternion_ds1_inuse_0019)). 0.56/0.69 fof(succ_plus_4_l, axiom, ![X13]:succ(succ(succ(succ(X13))))=plus(n4,X13), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', succ_plus_4_l)). 0.56/0.69 fof(successor_4, axiom, succ(succ(succ(succ(n0))))=n4, file('/export/starexec/sandbox/benchmark/theBenchmark.p', successor_4)). 0.56/0.69 fof(leq_gt_pred, axiom, ![X13, X14]:(leq(X13,pred(X14))<=>gt(X14,X13)), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', leq_gt_pred)). 0.56/0.69 fof(pred_minus_1, axiom, ![X13]:minus(X13,n1)=pred(X13), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', pred_minus_1)). 0.56/0.69 fof(leq_gt2, axiom, ![X13, X14]:((leq(X13,X14)&X14!=X13)=>gt(X14,X13)), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', leq_gt2)). 0.56/0.69 fof(pred_succ, axiom, ![X13]:pred(succ(X13))=X13, file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', pred_succ)). 0.56/0.69 fof(successor_5, axiom, succ(succ(succ(succ(succ(n0)))))=n5, file('/export/starexec/sandbox/benchmark/theBenchmark.p', successor_5)). 0.56/0.69 fof(finite_domain_3, axiom, ![X13]:((n0=X13|X13=n3|n2=X13|n1=X13)<=(leq(n0,X13)&leq(X13,n3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', finite_domain_3)). 0.56/0.69 fof(c_0_19, plain, ![X239]:succ(succ(X239))=plus(X239,n2), inference(variable_rename,[status(thm)],[succ_plus_2_r])). 0.56/0.69 fof(c_0_20, plain, ![X334]:succ(X334)=plus(X334,n1), inference(variable_rename,[status(thm)],[succ_plus_1_r])). 0.56/0.69 fof(c_0_21, plain, ![X275]:succ(X275)=plus(n1,X275), inference(variable_rename,[status(thm)],[succ_plus_1_l])). 0.56/0.69 fof(c_0_22, plain, ![X300]:succ(succ(X300))=plus(n2,X300), inference(variable_rename,[status(thm)],[succ_plus_2_l])). 0.56/0.69 cnf(c_0_23, plain, (succ(succ(X1))=plus(X1,n2)), inference(split_conjunct,[status(thm)],[c_0_19])). 0.56/0.69 cnf(c_0_24, plain, (succ(X1)=plus(X1,n1)), inference(split_conjunct,[status(thm)],[c_0_20])). 0.56/0.69 cnf(c_0_25, plain, (succ(X1)=plus(n1,X1)), inference(split_conjunct,[status(thm)],[c_0_21])). 0.56/0.69 fof(c_0_26, plain, ![X287]:plus(n3,X287)=succ(succ(succ(X287))), inference(variable_rename,[status(thm)],[succ_plus_3_l])). 0.56/0.69 cnf(c_0_27, plain, (succ(succ(n0))=n2), inference(split_conjunct,[status(thm)],[successor_2])). 0.56/0.69 cnf(c_0_28, plain, (n1=succ(n0)), inference(split_conjunct,[status(thm)],[successor_1])). 0.56/0.69 cnf(c_0_29, plain, (succ(succ(X1))=plus(n2,X1)), inference(split_conjunct,[status(thm)],[c_0_22])). 0.56/0.69 cnf(c_0_30, plain, (plus(plus(X1,n1),n1)=plus(X1,n2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24]), c_0_24])). 0.56/0.69 cnf(c_0_31, plain, (plus(X1,n1)=plus(n1,X1)), inference(rw,[status(thm)],[c_0_25, c_0_24])). 0.56/0.69 fof(c_0_32, plain, ![X335]:succ(succ(succ(X335)))=plus(X335,n3), inference(variable_rename,[status(thm)],[succ_plus_3_r])). 0.56/0.69 cnf(c_0_33, plain, (plus(n3,X1)=succ(succ(succ(X1)))), inference(split_conjunct,[status(thm)],[c_0_26])). 0.56/0.69 fof(c_0_34, plain, (epred2_0<=>((((((((((((((((((((((((((((use=a_select2(rho_defuse,n1)&use=a_select2(rho_defuse,n2))&use=a_select2(sigma_defuse,n1))&a_select2(sigma_defuse,n4)=use)&a_select2(sigma_defuse,n5)=use)&a_select3(u_defuse,n1,n0)=use)&use=a_select2(xinit_defuse,n4))&a_select2(xinit_defuse,n5)=use)&use=a_select2(xinit_mean_defuse,n1))&a_select2(xinit_mean_defuse,n2)=use)&a_select2(xinit_mean_defuse,n4)=use)&a_select2(xinit_noise_defuse,n0)=use)&use=a_select2(xinit_noise_defuse,n1))&a_select2(xinit_noise_defuse,n2)=use)&a_select2(xinit_noise_defuse,n5)=use)&![X3, X4]:((((leq(X3,n2)&leq(X4,n998))&leq(n0,X4))&leq(n0,X3))=>a_select3(z_defuse,X3,X4)=use))&![X1, X2]:((((leq(X1,n2)&leq(X2,n998))&leq(n0,X2))&leq(n0,X1))=>a_select3(u_defuse,X1,X2)=use))&a_select2(xinit_noise_defuse,n4)=use)&a_select2(xinit_noise_defuse,n3)=use)&use=a_select2(xinit_mean_defuse,n5))&a_select2(xinit_mean_defuse,n3)=use)&use=a_select2(xinit_mean_defuse,n0))&use=a_select2(xinit_defuse,n3))&use=a_select3(u_defuse,n2,n0))&a_select3(u_defuse,n0,n0)=use)&a_select2(sigma_defuse,n3)=use)&use=a_select2(sigma_defuse,n2))&a_select2(sigma_defuse,n0)=use)&use=a_select2(rho_defuse,n0))), introduced(definition)). 0.56/0.69 fof(c_0_35, plain, ![X322]:plus(X322,n4)=succ(succ(succ(succ(X322)))), inference(variable_rename,[status(thm)],[succ_plus_4_r])). 0.56/0.69 cnf(c_0_36, plain, (n3=succ(succ(succ(n0)))), inference(split_conjunct,[status(thm)],[successor_3])). 0.56/0.69 cnf(c_0_37, plain, (plus(plus(n0,n1),n1)=n2), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_24]), c_0_24])). 0.56/0.69 cnf(c_0_38, plain, (n1=plus(n0,n1)), inference(rw,[status(thm)],[c_0_28, c_0_24])). 0.56/0.69 cnf(c_0_39, plain, (plus(plus(X1,n1),n1)=plus(n2,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_24]), c_0_24])). 0.56/0.69 cnf(c_0_40, plain, (plus(n1,plus(X1,n1))=plus(X1,n2)), inference(rw,[status(thm)],[c_0_30, c_0_31])). 0.56/0.69 cnf(c_0_41, plain, (succ(succ(succ(X1)))=plus(X1,n3)), inference(split_conjunct,[status(thm)],[c_0_32])). 0.56/0.69 cnf(c_0_42, plain, (plus(n3,X1)=plus(plus(plus(X1,n1),n1),n1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_24]), c_0_24]), c_0_24])). 0.56/0.69 fof(c_0_43, negated_conjecture, ~((epred2_0=>![X5]:((leq(X5,n5)&leq(n0,X5))=>a_select2(xinit_mean_defuse,X5)=use))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0019])]), c_0_34])). 0.56/0.69 fof(c_0_44, plain, ![X314]:succ(succ(succ(succ(X314))))=plus(n4,X314), inference(variable_rename,[status(thm)],[succ_plus_4_l])). 0.56/0.69 cnf(c_0_45, plain, (plus(X1,n4)=succ(succ(succ(succ(X1))))), inference(split_conjunct,[status(thm)],[c_0_35])). 0.56/0.69 cnf(c_0_46, plain, (succ(succ(succ(succ(n0))))=n4), inference(split_conjunct,[status(thm)],[successor_4])). 0.56/0.69 cnf(c_0_47, plain, (n3=plus(plus(plus(n0,n1),n1),n1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_24]), c_0_24]), c_0_24])). 0.56/0.69 cnf(c_0_48, plain, (plus(n1,n1)=n2), inference(rw,[status(thm)],[c_0_37, c_0_38])). 0.56/0.69 cnf(c_0_49, plain, (plus(X1,n2)=plus(n2,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_31]), c_0_40])). 0.56/0.69 cnf(c_0_50, plain, (plus(plus(plus(X1,n1),n1),n1)=plus(X1,n3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_24]), c_0_24]), c_0_24])). 0.56/0.69 cnf(c_0_51, plain, (plus(n1,plus(X1,n2))=plus(n3,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_31]), c_0_40]), c_0_31])). 0.56/0.69 fof(c_0_52, plain, ![X336, X337]:((~leq(X336,pred(X337))|gt(X337,X336))&(~gt(X337,X336)|leq(X336,pred(X337)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])])). 0.56/0.69 fof(c_0_53, plain, ![X230]:minus(X230,n1)=pred(X230), inference(variable_rename,[status(thm)],[pred_minus_1])). 0.56/0.69 fof(c_0_54, plain, ![X310, X311]:(~leq(X310,X311)|X311=X310|gt(X311,X310)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt2])])). 0.56/0.69 fof(c_0_55, negated_conjecture, (epred2_0&((leq(esk24_0,n5)&leq(n0,esk24_0))&a_select2(xinit_mean_defuse,esk24_0)!=use)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])). 0.56/0.69 fof(c_0_56, plain, ![X238]:pred(succ(X238))=X238, inference(variable_rename,[status(thm)],[pred_succ])). 0.56/0.69 cnf(c_0_57, plain, (succ(succ(succ(succ(X1))))=plus(n4,X1)), inference(split_conjunct,[status(thm)],[c_0_44])). 0.56/0.69 cnf(c_0_58, plain, (plus(X1,n4)=plus(plus(plus(plus(X1,n1),n1),n1),n1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_24]), c_0_24]), c_0_24]), c_0_24])). 0.56/0.69 cnf(c_0_59, plain, (succ(succ(succ(succ(succ(n0)))))=n5), inference(split_conjunct,[status(thm)],[successor_5])). 0.56/0.69 cnf(c_0_60, plain, (plus(plus(plus(plus(n0,n1),n1),n1),n1)=n4), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_24]), c_0_24]), c_0_24]), c_0_24])). 0.56/0.69 cnf(c_0_61, plain, (plus(n1,n2)=n3), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_38]), c_0_48]), c_0_49])). 0.56/0.69 cnf(c_0_62, plain, (plus(n3,X1)=plus(X1,n3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50, c_0_31]), c_0_40]), c_0_31]), c_0_51])). 0.56/0.69 cnf(c_0_63, plain, (leq(X2,pred(X1))|~gt(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_52])). 0.56/0.69 cnf(c_0_64, plain, (minus(X1,n1)=pred(X1)), inference(split_conjunct,[status(thm)],[c_0_53])). 0.56/0.69 cnf(c_0_65, plain, (X2=X1|gt(X2,X1)|~leq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_54])). 0.56/0.69 cnf(c_0_66, negated_conjecture, (leq(esk24_0,n5)), inference(split_conjunct,[status(thm)],[c_0_55])). 0.56/0.69 cnf(c_0_67, plain, (pred(succ(X1))=X1), inference(split_conjunct,[status(thm)],[c_0_56])). 0.56/0.69 cnf(c_0_68, plain, (plus(plus(plus(plus(X1,n1),n1),n1),n1)=plus(n4,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_24]), c_0_24]), c_0_24]), c_0_24])). 0.56/0.69 cnf(c_0_69, plain, (plus(n1,plus(n3,X1))=plus(X1,n4)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_31]), c_0_40]), c_0_31]), c_0_51]), c_0_31])). 0.56/0.69 cnf(c_0_70, plain, (plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1)=n5), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59, c_0_24]), c_0_24]), c_0_24]), c_0_24]), c_0_24])). 0.56/0.69 cnf(c_0_71, plain, (plus(n1,n3)=n4), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_38]), c_0_48]), c_0_49]), c_0_61]), c_0_62])). 0.56/0.69 cnf(c_0_72, plain, (leq(X2,minus(X1,n1))|~gt(X1,X2)), inference(rw,[status(thm)],[c_0_63, c_0_64])). 0.56/0.69 cnf(c_0_73, negated_conjecture, (esk24_0=n5|gt(n5,esk24_0)), inference(spm,[status(thm)],[c_0_65, c_0_66])). 0.56/0.69 cnf(c_0_74, plain, (minus(plus(X1,n1),n1)=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_24]), c_0_64])). 0.56/0.69 cnf(c_0_75, plain, (plus(X1,n4)=plus(n4,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68, c_0_31]), c_0_40]), c_0_31]), c_0_51]), c_0_31]), c_0_69])). 0.56/0.69 cnf(c_0_76, plain, (plus(n1,n4)=n5), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70, c_0_38]), c_0_48]), c_0_49]), c_0_61]), c_0_62]), c_0_71]), c_0_31])). 0.56/0.69 cnf(c_0_77, negated_conjecture, (esk24_0=n5|leq(esk24_0,minus(n5,n1))), inference(spm,[status(thm)],[c_0_72, c_0_73])). 0.56/0.69 cnf(c_0_78, plain, (minus(n5,n1)=n4), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_75]), c_0_76])). 0.56/0.69 fof(c_0_79, plain, ![X13]:((leq(n0,X13)&leq(X13,n3))=>(n0=X13|X13=n3|n2=X13|n1=X13)), inference(fof_simplification,[status(thm)],[finite_domain_3])). 0.56/0.69 cnf(c_0_80, negated_conjecture, (esk24_0=n5|leq(esk24_0,n4)), inference(rw,[status(thm)],[c_0_77, c_0_78])). 0.56/0.69 fof(c_0_81, plain, (epred2_0=>((((((((((((((((((((((((((((use=a_select2(rho_defuse,n1)&use=a_select2(rho_defuse,n2))&use=a_select2(sigma_defuse,n1))&a_select2(sigma_defuse,n4)=use)&a_select2(sigma_defuse,n5)=use)&a_select3(u_defuse,n1,n0)=use)&use=a_select2(xinit_defuse,n4))&a_select2(xinit_defuse,n5)=use)&use=a_select2(xinit_mean_defuse,n1))&a_select2(xinit_mean_defuse,n2)=use)&a_select2(xinit_mean_defuse,n4)=use)&a_select2(xinit_noise_defuse,n0)=use)&use=a_select2(xinit_noise_defuse,n1))&a_select2(xinit_noise_defuse,n2)=use)&a_select2(xinit_noise_defuse,n5)=use)&![X3, X4]:((((leq(X3,n2)&leq(X4,n998))&leq(n0,X4))&leq(n0,X3))=>a_select3(z_defuse,X3,X4)=use))&![X1, X2]:((((leq(X1,n2)&leq(X2,n998))&leq(n0,X2))&leq(n0,X1))=>a_select3(u_defuse,X1,X2)=use))&a_select2(xinit_noise_defuse,n4)=use)&a_select2(xinit_noise_defuse,n3)=use)&use=a_select2(xinit_mean_defuse,n5))&a_select2(xinit_mean_defuse,n3)=use)&use=a_select2(xinit_mean_defuse,n0))&use=a_select2(xinit_defuse,n3))&use=a_select3(u_defuse,n2,n0))&a_select3(u_defuse,n0,n0)=use)&a_select2(sigma_defuse,n3)=use)&use=a_select2(sigma_defuse,n2))&a_select2(sigma_defuse,n0)=use)&use=a_select2(rho_defuse,n0))), inference(split_equiv,[status(thm)],[c_0_34])). 0.56/0.69 fof(c_0_82, plain, ![X363]:(~leq(n0,X363)|~leq(X363,n3)|(n0=X363|X363=n3|n2=X363|n1=X363)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])). 0.56/0.69 cnf(c_0_83, negated_conjecture, (esk24_0=n5|esk24_0=n4|gt(n4,esk24_0)), inference(spm,[status(thm)],[c_0_65, c_0_80])). 0.56/0.69 cnf(c_0_84, plain, (minus(n4,n1)=n3), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_62]), c_0_71])). 0.56/0.69 fof(c_0_85, plain, ![X373, X374, X375, X376]:(((((((((((((((((((((((((((((use=a_select2(rho_defuse,n1)|~epred2_0)&(use=a_select2(rho_defuse,n2)|~epred2_0))&(use=a_select2(sigma_defuse,n1)|~epred2_0))&(a_select2(sigma_defuse,n4)=use|~epred2_0))&(a_select2(sigma_defuse,n5)=use|~epred2_0))&(a_select3(u_defuse,n1,n0)=use|~epred2_0))&(use=a_select2(xinit_defuse,n4)|~epred2_0))&(a_select2(xinit_defuse,n5)=use|~epred2_0))&(use=a_select2(xinit_mean_defuse,n1)|~epred2_0))&(a_select2(xinit_mean_defuse,n2)=use|~epred2_0))&(a_select2(xinit_mean_defuse,n4)=use|~epred2_0))&(a_select2(xinit_noise_defuse,n0)=use|~epred2_0))&(use=a_select2(xinit_noise_defuse,n1)|~epred2_0))&(a_select2(xinit_noise_defuse,n2)=use|~epred2_0))&(a_select2(xinit_noise_defuse,n5)=use|~epred2_0))&(~leq(X373,n2)|~leq(X374,n998)|~leq(n0,X374)|~leq(n0,X373)|a_select3(z_defuse,X373,X374)=use|~epred2_0))&(~leq(X375,n2)|~leq(X376,n998)|~leq(n0,X376)|~leq(n0,X375)|a_select3(u_defuse,X375,X376)=use|~epred2_0))&(a_select2(xinit_noise_defuse,n4)=use|~epred2_0))&(a_select2(xinit_noise_defuse,n3)=use|~epred2_0))&(use=a_select2(xinit_mean_defuse,n5)|~epred2_0))&(a_select2(xinit_mean_defuse,n3)=use|~epred2_0))&(use=a_select2(xinit_mean_defuse,n0)|~epred2_0))&(use=a_select2(xinit_defuse,n3)|~epred2_0))&(use=a_select3(u_defuse,n2,n0)|~epred2_0))&(a_select3(u_defuse,n0,n0)=use|~epred2_0))&(a_select2(sigma_defuse,n3)=use|~epred2_0))&(use=a_select2(sigma_defuse,n2)|~epred2_0))&(a_select2(sigma_defuse,n0)=use|~epred2_0))&(use=a_select2(rho_defuse,n0)|~epred2_0)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])])])). 0.56/0.69 cnf(c_0_86, plain, (n0=X1|X1=n3|n2=X1|n1=X1|~leq(n0,X1)|~leq(X1,n3)), inference(split_conjunct,[status(thm)],[c_0_82])). 0.56/0.69 cnf(c_0_87, negated_conjecture, (esk24_0=n4|esk24_0=n5|leq(esk24_0,n3)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_83]), c_0_84])). 0.56/0.69 cnf(c_0_88, negated_conjecture, (leq(n0,esk24_0)), inference(split_conjunct,[status(thm)],[c_0_55])). 0.56/0.69 cnf(c_0_89, plain, (a_select2(xinit_mean_defuse,n4)=use|~epred2_0), inference(split_conjunct,[status(thm)],[c_0_85])). 0.56/0.69 cnf(c_0_90, negated_conjecture, (epred2_0), inference(split_conjunct,[status(thm)],[c_0_55])). 0.56/0.69 cnf(c_0_91, negated_conjecture, (a_select2(xinit_mean_defuse,esk24_0)!=use), inference(split_conjunct,[status(thm)],[c_0_55])). 0.56/0.69 cnf(c_0_92, negated_conjecture, (esk24_0=n5|esk24_0=n4|esk24_0=n2|esk24_0=n1|esk24_0=n0|esk24_0=n3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_88])])). 0.56/0.69 cnf(c_0_93, plain, (a_select2(xinit_mean_defuse,n4)=use), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_90])])). 0.56/0.69 cnf(c_0_94, plain, (use=a_select2(xinit_mean_defuse,n5)|~epred2_0), inference(split_conjunct,[status(thm)],[c_0_85])). 0.56/0.69 cnf(c_0_95, negated_conjecture, (esk24_0=n3|esk24_0=n0|esk24_0=n1|esk24_0=n2|esk24_0=n5), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_93])])). 0.56/0.69 cnf(c_0_96, plain, (a_select2(xinit_mean_defuse,n5)=use), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94, c_0_90])])). 0.56/0.69 cnf(c_0_97, plain, (a_select2(xinit_mean_defuse,n3)=use|~epred2_0), inference(split_conjunct,[status(thm)],[c_0_85])). 0.56/0.69 cnf(c_0_98, negated_conjecture, (esk24_0=n2|esk24_0=n1|esk24_0=n0|esk24_0=n3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_95]), c_0_96])])). 0.56/0.69 cnf(c_0_99, plain, (a_select2(xinit_mean_defuse,n3)=use), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97, c_0_90])])). 0.56/0.69 cnf(c_0_100, plain, (a_select2(xinit_mean_defuse,n2)=use|~epred2_0), inference(split_conjunct,[status(thm)],[c_0_85])). 0.56/0.69 cnf(c_0_101, negated_conjecture, (esk24_0=n0|esk24_0=n1|esk24_0=n2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_98]), c_0_99])])). 0.56/0.69 cnf(c_0_102, plain, (a_select2(xinit_mean_defuse,n2)=use), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100, c_0_90])])). 0.56/0.69 cnf(c_0_103, plain, (use=a_select2(xinit_mean_defuse,n1)|~epred2_0), inference(split_conjunct,[status(thm)],[c_0_85])). 0.56/0.69 cnf(c_0_104, negated_conjecture, (esk24_0=n1|esk24_0=n0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_101]), c_0_102])])). 0.56/0.69 cnf(c_0_105, plain, (a_select2(xinit_mean_defuse,n1)=use), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103, c_0_90])])). 0.56/0.69 cnf(c_0_106, plain, (use=a_select2(xinit_mean_defuse,n0)|~epred2_0), inference(split_conjunct,[status(thm)],[c_0_85])). 0.56/0.69 cnf(c_0_107, negated_conjecture, (esk24_0=n0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_104]), c_0_105])])). 0.56/0.69 cnf(c_0_108, plain, (a_select2(xinit_mean_defuse,n0)=use), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106, c_0_90])])). 0.56/0.69 cnf(c_0_109, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91, c_0_107]), c_0_108])]), ['proof']). 0.56/0.69 % SZS output end Proof 0.56/0.69 % Total time : 0.076000 s 0.56/0.70 EOF