0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : python3 prover_driver.py --schedule_mode external --schedule fof_schedule --no_cores 8 --problem_version fof /export/starexec/sandbox/benchmark/theBenchmark.p 120 --prover /export/starexec/sandbox/solver/bin/res/iproveropt_no_z3 0.13/0.34 % Computer : n028.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 : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 03:04:35 EDT 2022 0.13/0.34 % CPUTime : 4.24/1.51 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p 4.24/1.51 4.24/1.51 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 4.24/1.51 4.24/1.51 ------ iProver source info 4.24/1.51 4.24/1.51 git: date: 2022-07-26 19:47:37 +0300 4.24/1.51 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 4.24/1.51 git: non_committed_changes: false 4.24/1.51 git: last_make_outside_of_git: false 4.24/1.51 4.24/1.51 ------ Parsing... 4.24/1.51 ------ Clausification by vclausify_rel & Parsing by iProver... 4.24/1.51 4.24/1.51 ------ Preprocessing... sup_sim: 14 sf_s rm: 1 0s sf_e pe_s pe_e 4.24/1.51 4.24/1.51 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 4.24/1.51 4.24/1.51 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 4.24/1.51 ------ Proving... 4.24/1.51 ------ Problem Properties 4.24/1.51 4.24/1.51 4.24/1.51 clauses 187 4.24/1.51 conjectures 40 4.24/1.51 EPR 53 4.24/1.51 Horn 137 4.24/1.51 unary 88 4.24/1.51 binary 37 4.24/1.51 lits 537 4.24/1.51 lits eq 149 4.24/1.51 fd_pure 0 4.24/1.51 fd_pseudo 0 4.24/1.51 fd_cond 6 4.24/1.51 fd_pseudo_cond 4 4.24/1.51 AC symbols 0 4.24/1.51 4.24/1.51 ------ Schedule dynamic 5 is on 4.24/1.51 4.24/1.51 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10. 4.24/1.51 4.24/1.51 4.24/1.51 ------ 4.24/1.51 Current options: 4.24/1.51 ------ 4.24/1.51 4.24/1.51 4.24/1.51 4.24/1.51 4.24/1.51 ------ Proving... 4.24/1.51 4.24/1.51 4.24/1.51 % SZS status Theorem for theBenchmark.p 4.24/1.51 4.24/1.51 % SZS output start CNFRefutation for theBenchmark.p 4.24/1.51 4.24/1.51 fof(f47,axiom,( 4.24/1.51 ! [X12,X13] : (leq(X12,pred(X13)) <=> gt(X13,X12))), 4.24/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt_pred)). 4.24/1.51 4.24/1.51 fof(f137,plain,( 4.24/1.51 ! [X0,X1] : (leq(X0,pred(X1)) <=> gt(X1,X0))), 4.24/1.51 inference(rectify,[],[f47])). 4.24/1.51 4.24/1.51 fof(f253,plain,( 4.24/1.51 ! [X0,X1] : ((leq(X0,pred(X1)) | ~gt(X1,X0)) & (gt(X1,X0) | ~leq(X0,pred(X1))))), 4.24/1.51 inference(nnf_transformation,[],[f137])). 4.24/1.51 4.24/1.51 fof(f358,plain,( 4.24/1.51 ( ! [X0,X1] : (leq(X0,pred(X1)) | ~gt(X1,X0)) )), 4.24/1.51 inference(cnf_transformation,[],[f253])). 4.24/1.51 4.24/1.51 fof(f7,axiom,( 4.24/1.51 ! [X12] : minus(X12,n1) = pred(X12)), 4.24/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1)). 4.24/1.51 4.24/1.51 fof(f99,plain,( 4.24/1.51 ! [X0] : minus(X0,n1) = pred(X0)), 4.24/1.51 inference(rectify,[],[f7])). 4.24/1.51 4.24/1.51 fof(f285,plain,( 4.24/1.51 ( ! [X0] : (minus(X0,n1) = pred(X0)) )), 4.24/1.51 inference(cnf_transformation,[],[f99])). 4.24/1.51 4.24/1.51 fof(f469,plain,( 4.24/1.51 ( ! [X0,X1] : (leq(X0,minus(X1,n1)) | ~gt(X1,X0)) )), 4.24/1.51 inference(definition_unfolding,[],[f358,f285])). 4.24/1.51 4.24/1.51 fof(f83,conjecture,( 4.24/1.51 (use = a_select2(rho_defuse,n0) & use = a_select2(sigma_defuse,n0) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n3) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n1) & leq(n0,pv5) & leq(pv5,n998) & gt(pv5,n0) & ! [X2,X3] : ((leq(X3,pred(pv5)) & leq(X2,n2) & leq(n0,X3) & leq(n0,X2)) => use = a_select3(z_defuse,X2,X3)) & ! [X0,X1] : ((leq(n0,X0) & leq(n0,X1) & leq(X0,n2) & leq(X1,pred(pv5))) => use = a_select3(u_defuse,X0,X1)) & use = a_select2(xinit_noise_defuse,n5) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_defuse,n4) & use = a_select3(u_defuse,n0,n0) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n4) & use = a_select2(sigma_defuse,n1) & use = a_select2(rho_defuse,n2) & use = a_select2(rho_defuse,n1)) => ! [X4,X5] : ((leq(n0,X5) & leq(X5,pv5) & leq(X4,n2) & leq(n0,X4)) => ((~(pv5 = X5 & n1 = X4) & ~(pv5 = X5 & n2 = X4) & ~(n0 = X4 & pv5 = X5)) => use = a_select3(z_defuse,X4,X5)))), 4.24/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0014)). 4.24/1.51 4.24/1.51 fof(f84,negated_conjecture,( 4.24/1.51 ~((use = a_select2(rho_defuse,n0) & use = a_select2(sigma_defuse,n0) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n3) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n1) & leq(n0,pv5) & leq(pv5,n998) & gt(pv5,n0) & ! [X2,X3] : ((leq(X3,pred(pv5)) & leq(X2,n2) & leq(n0,X3) & leq(n0,X2)) => use = a_select3(z_defuse,X2,X3)) & ! [X0,X1] : ((leq(n0,X0) & leq(n0,X1) & leq(X0,n2) & leq(X1,pred(pv5))) => use = a_select3(u_defuse,X0,X1)) & use = a_select2(xinit_noise_defuse,n5) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_defuse,n4) & use = a_select3(u_defuse,n0,n0) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n4) & use = a_select2(sigma_defuse,n1) & use = a_select2(rho_defuse,n2) & use = a_select2(rho_defuse,n1)) => ! [X4,X5] : ((leq(n0,X5) & leq(X5,pv5) & leq(X4,n2) & leq(n0,X4)) => ((~(pv5 = X5 & n1 = X4) & ~(pv5 = X5 & n2 = X4) & ~(n0 = X4 & pv5 = X5)) => use = a_select3(z_defuse,X4,X5))))), 4.24/1.51 inference(negated_conjecture,[],[f83])). 4.24/1.51 4.24/1.51 fof(f147,plain,( 4.24/1.51 ~((use = a_select2(rho_defuse,n0) & use = a_select2(sigma_defuse,n0) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n3) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n1) & leq(n0,pv5) & leq(pv5,n998) & gt(pv5,n0) & ! [X0,X1] : ((leq(X1,pred(pv5)) & leq(X0,n2) & leq(n0,X1) & leq(n0,X0)) => use = a_select3(z_defuse,X0,X1)) & ! [X2,X3] : ((leq(n0,X2) & leq(n0,X3) & leq(X2,n2) & leq(X3,pred(pv5))) => use = a_select3(u_defuse,X2,X3)) & use = a_select2(xinit_noise_defuse,n5) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_defuse,n4) & use = a_select3(u_defuse,n0,n0) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n4) & use = a_select2(sigma_defuse,n1) & use = a_select2(rho_defuse,n2) & use = a_select2(rho_defuse,n1)) => ! [X4,X5] : ((leq(n0,X5) & leq(X5,pv5) & leq(X4,n2) & leq(n0,X4)) => ((~(pv5 = X5 & n1 = X4) & ~(pv5 = X5 & n2 = X4) & ~(n0 = X4 & pv5 = X5)) => use = a_select3(z_defuse,X4,X5))))), 4.24/1.51 inference(rectify,[],[f84])). 4.24/1.51 4.24/1.51 fof(f199,plain,( 4.24/1.51 ? [X4,X5] : ((use != a_select3(z_defuse,X4,X5) & ((pv5 != X5 | n1 != X4) & (pv5 != X5 | n2 != X4) & (n0 != X4 | pv5 != X5))) & (leq(n0,X5) & leq(X5,pv5) & leq(X4,n2) & leq(n0,X4))) & (use = a_select2(rho_defuse,n0) & use = a_select2(sigma_defuse,n0) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n3) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n1) & leq(n0,pv5) & leq(pv5,n998) & gt(pv5,n0) & ! [X0,X1] : (use = a_select3(z_defuse,X0,X1) | (~leq(X1,pred(pv5)) | ~leq(X0,n2) | ~leq(n0,X1) | ~leq(n0,X0))) & ! [X2,X3] : (use = a_select3(u_defuse,X2,X3) | (~leq(n0,X2) | ~leq(n0,X3) | ~leq(X2,n2) | ~leq(X3,pred(pv5)))) & use = a_select2(xinit_noise_defuse,n5) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_defuse,n4) & use = a_select3(u_defuse,n0,n0) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n4) & use = a_select2(sigma_defuse,n1) & use = a_select2(rho_defuse,n2) & use = a_select2(rho_defuse,n1))), 4.24/1.51 inference(ennf_transformation,[],[f147])). 4.24/1.51 4.24/1.51 fof(f200,plain,( 4.24/1.51 ? [X4,X5] : (use != a_select3(z_defuse,X4,X5) & (pv5 != X5 | n1 != X4) & (pv5 != X5 | n2 != X4) & (n0 != X4 | pv5 != X5) & leq(n0,X5) & leq(X5,pv5) & leq(X4,n2) & leq(n0,X4)) & use = a_select2(rho_defuse,n0) & use = a_select2(sigma_defuse,n0) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n3) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n1) & leq(n0,pv5) & leq(pv5,n998) & gt(pv5,n0) & ! [X0,X1] : (use = a_select3(z_defuse,X0,X1) | ~leq(X1,pred(pv5)) | ~leq(X0,n2) | ~leq(n0,X1) | ~leq(n0,X0)) & ! [X2,X3] : (use = a_select3(u_defuse,X2,X3) | ~leq(n0,X2) | ~leq(n0,X3) | ~leq(X2,n2) | ~leq(X3,pred(pv5))) & use = a_select2(xinit_noise_defuse,n5) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_defuse,n4) & use = a_select3(u_defuse,n0,n0) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n4) & use = a_select2(sigma_defuse,n1) & use = a_select2(rho_defuse,n2) & use = a_select2(rho_defuse,n1)), 4.24/1.51 inference(flattening,[],[f199])). 4.24/1.51 4.24/1.51 fof(f259,plain,( 4.24/1.51 ? [X0,X1] : (use != a_select3(z_defuse,X0,X1) & (pv5 != X1 | n1 != X0) & (pv5 != X1 | n2 != X0) & (n0 != X0 | pv5 != X1) & leq(n0,X1) & leq(X1,pv5) & leq(X0,n2) & leq(n0,X0)) & use = a_select2(rho_defuse,n0) & use = a_select2(sigma_defuse,n0) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n3) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n1) & leq(n0,pv5) & leq(pv5,n998) & gt(pv5,n0) & ! [X2,X3] : (use = a_select3(z_defuse,X2,X3) | ~leq(X3,pred(pv5)) | ~leq(X2,n2) | ~leq(n0,X3) | ~leq(n0,X2)) & ! [X4,X5] : (use = a_select3(u_defuse,X4,X5) | ~leq(n0,X4) | ~leq(n0,X5) | ~leq(X4,n2) | ~leq(X5,pred(pv5))) & use = a_select2(xinit_noise_defuse,n5) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_defuse,n4) & use = a_select3(u_defuse,n0,n0) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n4) & use = a_select2(sigma_defuse,n1) & use = a_select2(rho_defuse,n2) & use = a_select2(rho_defuse,n1)), 4.24/1.51 inference(rectify,[],[f200])). 4.24/1.51 4.24/1.51 fof(f260,plain,( 4.24/1.51 ? [X0,X1] : (use != a_select3(z_defuse,X0,X1) & (pv5 != X1 | n1 != X0) & (pv5 != X1 | n2 != X0) & (n0 != X0 | pv5 != X1) & leq(n0,X1) & leq(X1,pv5) & leq(X0,n2) & leq(n0,X0)) => (use != a_select3(z_defuse,sK31,sK32) & (pv5 != sK32 | n1 != sK31) & (pv5 != sK32 | n2 != sK31) & (n0 != sK31 | pv5 != sK32) & leq(n0,sK32) & leq(sK32,pv5) & leq(sK31,n2) & leq(n0,sK31))), 4.24/1.51 introduced(choice_axiom,[])). 4.24/1.51 4.24/1.51 fof(f261,plain,( 4.24/1.51 (use != a_select3(z_defuse,sK31,sK32) & (pv5 != sK32 | n1 != sK31) & (pv5 != sK32 | n2 != sK31) & (n0 != sK31 | pv5 != sK32) & leq(n0,sK32) & leq(sK32,pv5) & leq(sK31,n2) & leq(n0,sK31)) & use = a_select2(rho_defuse,n0) & use = a_select2(sigma_defuse,n0) & use = a_select2(sigma_defuse,n2) & use = a_select2(sigma_defuse,n3) & use = a_select3(u_defuse,n1,n0) & use = a_select3(u_defuse,n2,n0) & use = a_select2(xinit_defuse,n3) & use = a_select2(xinit_defuse,n5) & use = a_select2(xinit_mean_defuse,n0) & use = a_select2(xinit_mean_defuse,n1) & use = a_select2(xinit_mean_defuse,n3) & use = a_select2(xinit_mean_defuse,n5) & use = a_select2(xinit_noise_defuse,n1) & leq(n0,pv5) & leq(pv5,n998) & gt(pv5,n0) & ! [X2,X3] : (use = a_select3(z_defuse,X2,X3) | ~leq(X3,pred(pv5)) | ~leq(X2,n2) | ~leq(n0,X3) | ~leq(n0,X2)) & ! [X4,X5] : (use = a_select3(u_defuse,X4,X5) | ~leq(n0,X4) | ~leq(n0,X5) | ~leq(X4,n2) | ~leq(X5,pred(pv5))) & use = a_select2(xinit_noise_defuse,n5) & use = a_select2(xinit_noise_defuse,n4) & use = a_select2(xinit_noise_defuse,n3) & use = a_select2(xinit_noise_defuse,n2) & use = a_select2(xinit_noise_defuse,n0) & use = a_select2(xinit_mean_defuse,n4) & use = a_select2(xinit_mean_defuse,n2) & use = a_select2(xinit_defuse,n4) & use = a_select3(u_defuse,n0,n0) & use = a_select2(sigma_defuse,n5) & use = a_select2(sigma_defuse,n4) & use = a_select2(sigma_defuse,n1) & use = a_select2(rho_defuse,n2) & use = a_select2(rho_defuse,n1)), 4.24/1.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f259,f260])). 4.24/1.51 4.24/1.51 fof(f440,plain,( 4.24/1.51 pv5 != sK32 | n1 != sK31), 4.24/1.51 inference(cnf_transformation,[],[f261])). 4.24/1.51 4.24/1.51 fof(f434,plain,( 4.24/1.51 leq(n0,sK31)), 4.24/1.51 inference(cnf_transformation,[],[f261])). 4.24/1.51 4.24/1.51 fof(f435,plain,( 4.24/1.51 leq(sK31,n2)), 4.24/1.51 inference(cnf_transformation,[],[f261])). 4.24/1.51 4.24/1.51 fof(f438,plain,( 4.24/1.51 n0 != sK31 | pv5 != sK32), 4.24/1.51 inference(cnf_transformation,[],[f261])). 4.24/1.51 4.24/1.51 fof(f439,plain,( 4.24/1.51 pv5 != sK32 | n2 != sK31), 4.24/1.51 inference(cnf_transformation,[],[f261])). 4.24/1.51 4.24/1.51 fof(f62,axiom,( 4.24/1.51 ! [X12] : ((leq(X12,n0) & leq(n0,X12)) => n0 = X12)), 4.24/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0)). 4.24/1.51 4.24/1.51 fof(f143,plain,( 4.24/1.51 ! [X0] : ((leq(X0,n0) & leq(n0,X0)) => n0 = X0)), 4.24/1.51 inference(rectify,[],[f62])). 4.24/1.51 4.24/1.51 fof(f191,plain,( 4.24/1.51 ! [X0] : (n0 = X0 | (~leq(X0,n0) | ~leq(n0,X0)))), 4.24/1.51 inference(ennf_transformation,[],[f143])). 4.24/1.51 4.24/1.51 fof(f192,plain,( 4.24/1.51 ! [X0] : (n0 = X0 | ~leq(X0,n0) | ~leq(n0,X0))), 4.24/1.51 inference(flattening,[],[f191])). 4.24/1.51 4.24/1.51 fof(f381,plain,( 4.24/1.51 ( ! [X0] : (n0 = X0 | ~leq(X0,n0) | ~leq(n0,X0)) )), 4.24/1.51 inference(cnf_transformation,[],[f192])). 4.24/1.51 4.24/1.51 fof(f33,axiom,( 4.24/1.51 ! [X12,X13] : (gt(succ(X13),X12) <=> leq(X12,X13))), 4.24/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt_equiv)). 4.24/1.51 4.24/1.51 fof(f123,plain,( 4.24/1.51 ! [X0,X1] : (gt(succ(X1),X0) <=> leq(X0,X1))), 4.24/1.51 inference(rectify,[],[f33])). 4.24/1.51 4.24/1.51 fof(f242,plain,( 4.24/1.51 ! [X0,X1] : ((gt(succ(X1),X0) | ~leq(X0,X1)) & (leq(X0,X1) | ~gt(succ(X1),X0)))), 4.24/1.51 inference(nnf_transformation,[],[f123])). 4.24/1.51 4.24/1.51 fof(f331,plain,( 4.24/1.51 ( ! [X0,X1] : (leq(X0,X1) | ~gt(succ(X1),X0)) )), 4.24/1.51 inference(cnf_transformation,[],[f242])). 4.24/1.51 4.24/1.51 fof(f24,axiom,( 4.24/1.51 ! [X12] : succ(X12) = plus(n1,X12)), 4.24/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_l)). 4.24/1.51 4.24/1.51 fof(f115,plain,( 4.24/1.51 ! [X0] : succ(X0) = plus(n1,X0)), 4.24/1.51 inference(rectify,[],[f24])). 4.24/1.51 4.24/1.51 fof(f313,plain,( 4.24/1.51 ( ! [X0] : (succ(X0) = plus(n1,X0)) )), 4.24/1.51 inference(cnf_transformation,[],[f115])). 4.24/1.51 4.24/1.51 fof(f463,plain,( 4.24/1.51 ( ! [X0,X1] : (leq(X0,X1) | ~gt(plus(n1,X1),X0)) )), 4.24/1.51 inference(definition_unfolding,[],[f331,f313])). 4.24/1.51 4.24/1.51 fof(f26,axiom,( 4.24/1.51 ! [X12] : gt(succ(X12),X12)), 4.24/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_succ)). 4.24/1.51 4.24/1.51 fof(f117,plain,( 4.24/1.51 ! [X0] : gt(succ(X0),X0)), 4.24/1.51 inference(rectify,[],[f26])). 4.24/1.51 4.24/1.51 fof(f315,plain,( 4.24/1.51 ( ! [X0] : (gt(succ(X0),X0)) )), 4.24/1.51 inference(cnf_transformation,[],[f117])). 4.24/1.51 4.24/1.51 fof(f457,plain,( 4.24/1.51 ( ! [X0] : (gt(plus(n1,X0),X0)) )), 4.24/1.51 inference(definition_unfolding,[],[f315,f313])). 4.24/1.51 4.24/1.51 fof(f70,axiom,( 4.24/1.51 ! [X12] : ((leq(X12,n2) & leq(n0,X12)) => (n2 = X12 | n1 = X12 | n0 = X12))), 4.24/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_2)). 4.24/1.51 4.24/1.51 fof(f145,plain,( 4.24/1.51 ! [X0] : ((leq(X0,n2) & leq(n0,X0)) => (n2 = X0 | n1 = X0 | n0 = X0))), 4.24/1.51 inference(rectify,[],[f70])). 4.24/1.51 4.24/1.51 fof(f195,plain,( 4.24/1.51 ! [X0] : ((n2 = X0 | n1 = X0 | n0 = X0) | (~leq(X0,n2) | ~leq(n0,X0)))), 4.24/1.51 inference(ennf_transformation,[],[f145])). 4.24/1.51 4.24/1.51 fof(f196,plain,( 4.24/1.51 ! [X0] : (n2 = X0 | n1 = X0 | n0 = X0 | ~leq(X0,n2) | ~leq(n0,X0))), 4.24/1.51 inference(flattening,[],[f195])). 4.24/1.51 4.24/1.51 fof(f389,plain,( 4.24/1.51 ( ! [X0] : (n2 = X0 | n1 = X0 | n0 = X0 | ~leq(X0,n2) | ~leq(n0,X0)) )), 4.24/1.51 inference(cnf_transformation,[],[f196])). 4.24/1.51 4.24/1.51 fof(f38,axiom,( 4.24/1.51 ! [X12,X13] : ((X12 != X13 & leq(X12,X13)) => gt(X13,X12))), 4.24/1.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt2)). 4.24/1.51 4.24/1.51 fof(f128,plain,( 4.24/1.51 ! [X0,X1] : ((X0 != X1 & leq(X0,X1)) => gt(X1,X0))), 4.24/1.51 inference(rectify,[],[f38])). 4.24/1.51 4.24/1.51 fof(f178,plain,( 4.24/1.51 ! [X0,X1] : (gt(X1,X0) | (X0 = X1 | ~leq(X0,X1)))), 4.24/1.51 inference(ennf_transformation,[],[f128])). 4.24/1.51 4.24/1.51 fof(f179,plain,( 4.24/1.51 ! [X0,X1] : (gt(X1,X0) | X0 = X1 | ~leq(X0,X1))), 4.24/1.51 inference(flattening,[],[f178])). 4.24/1.51 4.24/1.51 fof(f336,plain,( 4.24/1.51 ( ! [X0,X1] : (gt(X1,X0) | X0 = X1 | ~leq(X0,X1)) )), 4.24/1.51 inference(cnf_transformation,[],[f179])). 4.24/1.51 4.24/1.51 fof(f417,plain,( 4.24/1.51 ( ! [X2,X3] : (use = a_select3(z_defuse,X2,X3) | ~leq(X3,pred(pv5)) | ~leq(X2,n2) | ~leq(n0,X3) | ~leq(n0,X2)) )), 4.24/1.51 inference(cnf_transformation,[],[f261])). 4.24/1.51 4.24/1.51 fof(f476,plain,( 4.24/1.51 ( ! [X2,X3] : (use = a_select3(z_defuse,X2,X3) | ~leq(X3,minus(pv5,n1)) | ~leq(X2,n2) | ~leq(n0,X3) | ~leq(n0,X2)) )), 4.24/1.51 inference(definition_unfolding,[],[f417,f285])). 4.24/1.51 4.24/1.51 fof(f441,plain,( 4.24/1.51 use != a_select3(z_defuse,sK31,sK32)), 4.24/1.51 inference(cnf_transformation,[],[f261])). 4.24/1.51 4.24/1.51 fof(f437,plain,( 4.24/1.51 leq(n0,sK32)), 4.24/1.51 inference(cnf_transformation,[],[f261])). 4.24/1.51 4.24/1.51 fof(f436,plain,( 4.24/1.51 leq(sK32,pv5)), 4.24/1.51 inference(cnf_transformation,[],[f261])). 4.24/1.51 4.24/1.51 cnf(c_142,plain, 4.24/1.51 ( ~ gt(X0,X1) | leq(X1,minus(X0,n1)) ), 4.24/1.51 inference(cnf_transformation,[],[f469]) ). 4.24/1.51 4.24/1.51 cnf(c_11594,plain, 4.24/1.51 ( ~ gt(pv5,X0) | leq(X0,minus(pv5,n1)) ), 4.24/1.51 inference(instantiation,[status(thm)],[c_142]) ). 4.24/1.51 4.24/1.51 cnf(c_12887,plain, 4.24/1.51 ( ~ gt(pv5,sK32) | leq(sK32,minus(pv5,n1)) ), 4.24/1.51 inference(instantiation,[status(thm)],[c_11594]) ). 4.24/1.51 4.24/1.51 cnf(c_188,negated_conjecture, 4.24/1.51 ( n1 != sK31 | sK32 != pv5 ), 4.24/1.51 inference(cnf_transformation,[],[f440]) ). 4.24/1.51 4.24/1.51 cnf(c_194,negated_conjecture, 4.24/1.51 ( leq(n0,sK31) ), 4.24/1.51 inference(cnf_transformation,[],[f434]) ). 4.24/1.51 4.24/1.51 cnf(c_193,negated_conjecture, 4.24/1.51 ( leq(sK31,n2) ), 4.24/1.51 inference(cnf_transformation,[],[f435]) ). 4.24/1.51 4.24/1.51 cnf(c_190,negated_conjecture, 4.24/1.51 ( n0 != sK31 | sK32 != pv5 ), 4.24/1.51 inference(cnf_transformation,[],[f438]) ). 4.24/1.51 4.24/1.51 cnf(c_189,negated_conjecture, 4.24/1.51 ( n2 != sK31 | sK32 != pv5 ), 4.24/1.51 inference(cnf_transformation,[],[f439]) ). 4.24/1.51 4.24/1.51 cnf(c_166,plain, 4.24/1.51 ( ~ leq(X0,n0) | ~ leq(n0,X0) | X0 = n0 ), 4.24/1.51 inference(cnf_transformation,[],[f381]) ). 4.24/1.51 4.24/1.51 cnf(c_242,plain, 4.24/1.51 ( ~ leq(n0,n0) | n0 = n0 ), 4.24/1.51 inference(instantiation,[status(thm)],[c_166]) ). 4.24/1.51 4.24/1.51 cnf(c_117,plain, 4.24/1.51 ( ~ gt(plus(n1,X0),X1) | leq(X1,X0) ), 4.24/1.51 inference(cnf_transformation,[],[f463]) ). 4.24/1.51 4.24/1.51 cnf(c_280,plain, 4.24/1.51 ( ~ gt(plus(n1,n0),n0) | leq(n0,n0) ), 4.24/1.51 inference(instantiation,[status(thm)],[c_117]) ). 4.24/1.51 4.24/1.51 cnf(c_100,plain, 4.24/1.51 ( gt(plus(n1,X0),X0) ), 4.24/1.51 inference(cnf_transformation,[],[f457]) ). 4.24/1.51 4.24/1.51 cnf(c_296,plain, 4.24/1.51 ( gt(plus(n1,n0),n0) ), 4.24/1.51 inference(instantiation,[status(thm)],[c_100]) ). 4.24/1.51 4.24/1.51 cnf(c_6048,plain,( X0 != X1 | X2 != X1 | X2 = X0 ),theory(equality) ). 4.24/1.51 4.24/1.51 cnf(c_11078,plain, 4.24/1.51 ( n0 != X0 | sK31 != X0 | n0 = sK31 ), 4.24/1.51 inference(instantiation,[status(thm)],[c_6048]) ). 4.24/1.51 4.24/1.51 cnf(c_11079,plain, 4.24/1.51 ( n0 != n0 | sK31 != n0 | n0 = sK31 ), 4.24/1.51 inference(instantiation,[status(thm)],[c_11078]) ). 4.24/1.51 4.24/1.51 cnf(c_11074,plain, 4.24/1.51 ( n1 != X0 | sK31 != X0 | n1 = sK31 ), 4.24/1.51 inference(instantiation,[status(thm)],[c_6048]) ). 4.24/1.51 4.24/1.51 cnf(c_12134,plain, 4.24/1.51 ( n1 != n1 | sK31 != n1 | n1 = sK31 ), 4.24/1.51 inference(instantiation,[status(thm)],[c_11074]) ). 4.24/1.51 4.24/1.51 cnf(c_6046,plain,( X0 = X0 ),theory(equality) ). 4.24/1.51 4.24/1.51 cnf(c_12135,plain, 4.24/1.51 ( n1 = n1 ), 4.24/1.51 inference(instantiation,[status(thm)],[c_6046]) ). 4.24/1.51 4.24/1.51 cnf(c_11076,plain, 4.24/1.51 ( n2 != X0 | sK31 != X0 | n2 = sK31 ), 4.24/1.51 inference(instantiation,[status(thm)],[c_6048]) ). 4.24/1.51 4.24/1.51 cnf(c_12159,plain, 4.24/1.51 ( n2 != n2 | sK31 != n2 | n2 = sK31 ), 4.24/1.51 inference(instantiation,[status(thm)],[c_11076]) ). 4.24/1.51 4.24/1.51 cnf(c_12160,plain, 4.24/1.51 ( n2 = n2 ), 4.24/1.51 inference(instantiation,[status(thm)],[c_6046]) ). 4.24/1.51 4.24/1.51 cnf(c_174,plain, 4.24/1.51 ( ~ leq(X0,n2) | ~ leq(n0,X0) | X0 = n0 | X0 = n1 | X0 = n2 ), 4.24/1.51 inference(cnf_transformation,[],[f389]) ). 4.24/1.51 4.24/1.51 cnf(c_12367,plain, 4.24/1.51 ( ~ leq(n0,sK31) 4.24/1.51 | ~ leq(sK31,n2) 4.24/1.51 | sK31 = n0 4.24/1.51 | sK31 = n1 4.24/1.51 | sK31 = n2 ), 4.24/1.51 inference(instantiation,[status(thm)],[c_174]) ). 4.24/1.51 4.24/1.51 cnf(c_12521,negated_conjecture, 4.24/1.51 ( sK32 != pv5 ), 4.24/1.51 inference(global_propositional_subsumption, 4.24/1.51 [status(thm)], 4.24/1.51 [c_188,c_194,c_193,c_190,c_189,c_242,c_280,c_296,c_11079, 4.24/1.51 c_12134,c_12135,c_12159,c_12160,c_12367]) ). 4.24/1.51 4.24/1.51 cnf(c_121,plain, 4.24/1.51 ( ~ leq(X0,X1) | X0 = X1 | gt(X1,X0) ), 4.24/1.51 inference(cnf_transformation,[],[f336]) ). 4.24/1.51 4.24/1.51 cnf(c_11425,plain, 4.24/1.51 ( ~ leq(sK32,pv5) | sK32 = pv5 | gt(pv5,sK32) ), 4.24/1.51 inference(instantiation,[status(thm)],[c_121]) ). 4.24/1.51 4.24/1.51 cnf(c_211,negated_conjecture, 4.24/1.51 ( ~ leq(X0,minus(pv5,n1)) 4.24/1.51 | ~ leq(X1,n2) 4.24/1.51 | ~ leq(n0,X0) 4.24/1.51 | ~ leq(n0,X1) 4.24/1.51 | a_select3(z_defuse,X1,X0) = use ), 4.24/1.51 inference(cnf_transformation,[],[f476]) ). 4.24/1.51 4.24/1.51 cnf(c_11419,plain, 4.24/1.51 ( ~ leq(sK32,minus(pv5,n1)) 4.24/1.51 | ~ leq(n0,sK31) 4.24/1.51 | ~ leq(n0,sK32) 4.24/1.51 | ~ leq(sK31,n2) 4.24/1.51 | a_select3(z_defuse,sK31,sK32) = use ), 4.24/1.51 inference(instantiation,[status(thm)],[c_211]) ). 4.24/1.51 4.24/1.51 cnf(c_187,negated_conjecture, 4.24/1.51 ( a_select3(z_defuse,sK31,sK32) != use ), 4.24/1.51 inference(cnf_transformation,[],[f441]) ). 4.24/1.51 4.24/1.51 cnf(c_191,negated_conjecture, 4.24/1.51 ( leq(n0,sK32) ), 4.24/1.51 inference(cnf_transformation,[],[f437]) ). 4.24/1.51 4.24/1.51 cnf(c_192,negated_conjecture, 4.24/1.51 ( leq(sK32,pv5) ), 4.24/1.51 inference(cnf_transformation,[],[f436]) ). 4.24/1.51 4.24/1.51 cnf(contradiction,plain, 4.24/1.51 ( $false ), 4.24/1.51 inference(minisat, 4.24/1.51 [status(thm)], 4.24/1.51 [c_12887,c_12521,c_11425,c_11419,c_187,c_191,c_192,c_193, 4.24/1.51 c_194]) ). 4.24/1.51 4.24/1.51 4.24/1.51 % SZS output end CNFRefutation for theBenchmark.p 4.24/1.51 4.24/1.51 ------ Statistics 4.24/1.51 4.24/1.51 ------ Selected 4.24/1.51 4.24/1.51 total_time: 0.333 4.24/1.51 4.24/1.53 EOF