TSTP Solution File: DAT021_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : DAT021_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 : Wed Aug 30 22:15:22 EDT 2023
% Result : Theorem 6.94s 1.63s
% Output : CNFRefutation 6.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : DAT021_1 : TPTP v8.1.2. Released v5.0.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 24 14:57:47 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.45 Running TFA theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.94/1.63 % SZS status Started for theBenchmark.p
% 6.94/1.63 % SZS status Theorem for theBenchmark.p
% 6.94/1.63
% 6.94/1.63 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 6.94/1.63
% 6.94/1.63 ------ iProver source info
% 6.94/1.63
% 6.94/1.63 git: date: 2023-05-31 18:12:56 +0000
% 6.94/1.63 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 6.94/1.63 git: non_committed_changes: false
% 6.94/1.63 git: last_make_outside_of_git: false
% 6.94/1.63
% 6.94/1.63 ------ Parsing...
% 6.94/1.63 ------ Clausification by vclausify_rel & Parsing by iProver...
% 6.94/1.63
% 6.94/1.63 ------ 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
% 6.94/1.63
% 6.94/1.63 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 6.94/1.63
% 6.94/1.63 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.94/1.63 ------ Proving...
% 6.94/1.63 ------ Problem Properties
% 6.94/1.63
% 6.94/1.63
% 6.94/1.63 clauses 27
% 6.94/1.63 conjectures 5
% 6.94/1.63 EPR 11
% 6.94/1.63 Horn 23
% 6.94/1.63 unary 19
% 6.94/1.63 binary 4
% 6.94/1.63 lits 39
% 6.94/1.63 lits eq 11
% 6.94/1.63 fd_pure 0
% 6.94/1.63 fd_pseudo 0
% 6.94/1.63 fd_cond 0
% 6.94/1.63 fd_pseudo_cond 3
% 6.94/1.63 AC symbols 1
% 6.94/1.63
% 6.94/1.63 ------ Input Options Time Limit: Unbounded
% 6.94/1.63
% 6.94/1.63
% 6.94/1.63 ------
% 6.94/1.63 Current options:
% 6.94/1.63 ------
% 6.94/1.63
% 6.94/1.63
% 6.94/1.63
% 6.94/1.63
% 6.94/1.63 ------ Proving...
% 6.94/1.63
% 6.94/1.63
% 6.94/1.63 % SZS status Theorem for theBenchmark.p
% 6.94/1.63
% 6.94/1.63 % SZS output start CNFRefutation for theBenchmark.p
% 6.94/1.63
% 6.94/1.63 tff(f1,axiom,(
% 6.94/1.63 ! [X0 : $int] : ~in(X0,empty)),
% 6.94/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)).
% 6.94/1.63
% 6.94/1.63 tff(f4,axiom,(
% 6.94/1.63 ! [X5 : $int,X6 : collection,X7 : $int] : ((X5 = X7 | in(X5,X6)) <=> in(X5,add(X7,X6)))),
% 6.94/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4)).
% 6.94/1.63
% 6.94/1.63 tff(f6,conjecture,(
% 6.94/1.63 ! [X0 : collection,X1 : $int,X2 : $int] : ((X1 != X2 & in(X2,X0) & in(X1,X0) & add(5,add(3,add(1,empty))) = X0) => $less($sum(X1,X2),9))),
% 6.94/1.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
% 6.94/1.63
% 6.94/1.63 tff(f7,negated_conjecture,(
% 6.94/1.63 ~! [X0 : collection,X1 : $int,X2 : $int] : ((X1 != X2 & in(X2,X0) & in(X1,X0) & add(5,add(3,add(1,empty))) = X0) => $less($sum(X1,X2),9))),
% 6.94/1.63 inference(negated_conjecture,[],[f6])).
% 6.94/1.63
% 6.94/1.63 tff(f8,plain,(
% 6.94/1.63 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 6.94/1.63 introduced(theory_axiom_138,[])).
% 6.94/1.63
% 6.94/1.63 tff(f13,plain,(
% 6.94/1.63 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 6.94/1.63 introduced(theory_axiom_145,[])).
% 6.94/1.63
% 6.94/1.63 tff(f14,plain,(
% 6.94/1.63 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 6.94/1.63 introduced(theory_axiom_146,[])).
% 6.94/1.63
% 6.94/1.63 tff(f17,plain,(
% 6.94/1.63 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 6.94/1.63 introduced(theory_axiom_150,[])).
% 6.94/1.63
% 6.94/1.63 tff(f22,plain,(
% 6.94/1.63 ! [X0 : $int,X1 : collection,X2 : $int] : ((X0 = X2 | in(X0,X1)) <=> in(X0,add(X2,X1)))),
% 6.94/1.63 inference(rectify,[],[f4])).
% 6.94/1.63
% 6.94/1.63 tff(f24,plain,(
% 6.94/1.63 ? [X0 : collection,X1 : $int,X2 : $int] : (~$less($sum(X1,X2),9) & (X1 != X2 & in(X2,X0) & in(X1,X0) & add(5,add(3,add(1,empty))) = X0))),
% 6.94/1.63 inference(ennf_transformation,[],[f7])).
% 6.94/1.63
% 6.94/1.63 tff(f25,plain,(
% 6.94/1.63 ? [X0 : collection,X1 : $int,X2 : $int] : (~$less($sum(X1,X2),9) & X1 != X2 & in(X2,X0) & in(X1,X0) & add(5,add(3,add(1,empty))) = X0)),
% 6.94/1.63 inference(flattening,[],[f24])).
% 6.94/1.63
% 6.94/1.63 tff(f26,plain,(
% 6.94/1.63 ! [X0 : $int,X1 : collection,X2 : $int] : (((X0 = X2 | in(X0,X1)) | ~in(X0,add(X2,X1))) & (in(X0,add(X2,X1)) | (X0 != X2 & ~in(X0,X1))))),
% 6.94/1.63 inference(nnf_transformation,[],[f22])).
% 6.94/1.63
% 6.94/1.63 tff(f27,plain,(
% 6.94/1.63 ! [X0 : $int,X1 : collection,X2 : $int] : ((X0 = X2 | in(X0,X1) | ~in(X0,add(X2,X1))) & (in(X0,add(X2,X1)) | (X0 != X2 & ~in(X0,X1))))),
% 6.94/1.63 inference(flattening,[],[f26])).
% 6.94/1.63
% 6.94/1.63 tff(f30,plain,(
% 6.94/1.63 ? [X0 : collection,X1 : $int,X2 : $int] : (~$less($sum(X1,X2),9) & X1 != X2 & in(X2,X0) & in(X1,X0) & add(5,add(3,add(1,empty))) = X0) => (~$less($sum(sK1,sK2),9) & sK1 != sK2 & in(sK2,sK0) & in(sK1,sK0) & add(5,add(3,add(1,empty))) = sK0)),
% 6.94/1.63 introduced(choice_axiom,[])).
% 6.94/1.63
% 6.94/1.63 tff(f31,plain,(
% 6.94/1.63 ~$less($sum(sK1,sK2),9) & sK1 != sK2 & in(sK2,sK0) & in(sK1,sK0) & add(5,add(3,add(1,empty))) = sK0),
% 6.94/1.63 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f25,f30])).
% 6.94/1.63
% 6.94/1.63 tff(f32,plain,(
% 6.94/1.63 ( ! [X0 : $int] : (~in(X0,empty)) )),
% 6.94/1.63 inference(cnf_transformation,[],[f1])).
% 6.94/1.63
% 6.94/1.63 tff(f37,plain,(
% 6.94/1.63 ( ! [X2 : $int,X0 : $int,X1 : collection] : (X0 = X2 | in(X0,X1) | ~in(X0,add(X2,X1))) )),
% 6.94/1.63 inference(cnf_transformation,[],[f27])).
% 6.94/1.63
% 6.94/1.63 tff(f41,plain,(
% 6.94/1.63 add(5,add(3,add(1,empty))) = sK0),
% 6.94/1.63 inference(cnf_transformation,[],[f31])).
% 6.94/1.63
% 6.94/1.63 tff(f42,plain,(
% 6.94/1.63 in(sK1,sK0)),
% 6.94/1.63 inference(cnf_transformation,[],[f31])).
% 6.94/1.63
% 6.94/1.63 tff(f43,plain,(
% 6.94/1.63 in(sK2,sK0)),
% 6.94/1.63 inference(cnf_transformation,[],[f31])).
% 6.94/1.63
% 6.94/1.63 tff(f44,plain,(
% 6.94/1.63 sK1 != sK2),
% 6.94/1.63 inference(cnf_transformation,[],[f31])).
% 6.94/1.63
% 6.94/1.63 tff(f45,plain,(
% 6.94/1.63 ~$less($sum(sK1,sK2),9)),
% 6.94/1.63 inference(cnf_transformation,[],[f31])).
% 6.94/1.63
% 6.94/1.63 cnf(c_51,plain,
% 6.94/1.63 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 6.94/1.63 inference(cnf_transformation,[],[f17])).
% 6.94/1.63
% 6.94/1.63 cnf(c_54,plain,
% 6.94/1.63 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 6.94/1.63 inference(cnf_transformation,[],[f14])).
% 6.94/1.63
% 6.94/1.63 cnf(c_55,plain,
% 6.94/1.63 (~$less_int(X0_3,X0_3)),
% 6.94/1.63 inference(cnf_transformation,[],[f13])).
% 6.94/1.63
% 6.94/1.63 cnf(c_60,plain,
% 6.94/1.63 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 6.94/1.63 inference(cnf_transformation,[],[f8])).
% 6.94/1.63
% 6.94/1.63 cnf(c_61,plain,(~in(X0_3,empty)),inference(cnf_transformation,[],[f32])).
% 6.94/1.63
% 6.94/1.63 cnf(c_64,plain,
% 6.94/1.63 (~in(X0_3,add(X1_3,X0_13))|X0_3 = X1_3|in(X0_3,X0_13)),
% 6.94/1.63 inference(cnf_transformation,[],[f37])).
% 6.94/1.63
% 6.94/1.63 cnf(c_70,negated_conjecture,
% 6.94/1.63 (~$less_int($sum_int(sK1,sK2),9)),
% 6.94/1.63 inference(cnf_transformation,[],[f45])).
% 6.94/1.63
% 6.94/1.63 cnf(c_71,negated_conjecture,
% 6.94/1.63 (sK1 != sK2),
% 6.94/1.63 inference(cnf_transformation,[],[f44])).
% 6.94/1.63
% 6.94/1.63 cnf(c_72,negated_conjecture,
% 6.94/1.63 (in(sK2,sK0)),
% 6.94/1.63 inference(cnf_transformation,[],[f43])).
% 6.94/1.63
% 6.94/1.63 cnf(c_73,negated_conjecture,
% 6.94/1.63 (in(sK1,sK0)),
% 6.94/1.63 inference(cnf_transformation,[],[f42])).
% 6.94/1.63
% 6.94/1.63 cnf(c_74,negated_conjecture,
% 6.94/1.63 (add(5,add(3,add(1,empty))) = sK0),
% 6.94/1.63 inference(cnf_transformation,[],[f41])).
% 6.94/1.63
% 6.94/1.63 cnf(c_77,plain,($less_int(3,5)),theory(arith)).
% 6.94/1.63
% 6.94/1.63 cnf(c_867,plain,
% 6.94/1.63 ($less_int(X0_3,$sum_int(X0_3,1))),
% 6.94/1.63 inference(superposition,[status(thm)],[c_51,c_55])).
% 6.94/1.63
% 6.94/1.63 cnf(c_874,plain,
% 6.94/1.63 ($less_int(X0_3,$sum_int(1,X0_3))),
% 6.94/1.63 inference(superposition,[status(thm)],[c_60,c_867])).
% 6.94/1.63
% 6.94/1.63 cnf(c_1068,plain,
% 6.94/1.63 (~$less_int(5,X0_3)|$less_int(3,X0_3)),
% 6.94/1.63 inference(superposition,[status(thm)],[c_77,c_54])).
% 6.94/1.63
% 6.94/1.63 cnf(c_1221,plain,
% 6.94/1.63 (~in(X0_3,sK0)|X0_3 = 5|in(X0_3,add(3,add(1,empty)))),
% 6.94/1.63 inference(superposition,[status(thm)],[c_74,c_64])).
% 6.94/1.63
% 6.94/1.63 cnf(c_1300,plain,
% 6.94/1.63 (~in(X0_3,sK0)|X0_3 = 5|X0_3 = 3|in(X0_3,add(1,empty))),
% 6.94/1.63 inference(superposition,[status(thm)],[c_1221,c_64])).
% 6.94/1.63
% 6.94/1.63 cnf(c_1360,plain,
% 6.94/1.63 (~in(X0_3,sK0)|X0_3 = 1|X0_3 = 5|X0_3 = 3|in(X0_3,empty)),
% 6.94/1.63 inference(superposition,[status(thm)],[c_1300,c_64])).
% 6.94/1.63
% 6.94/1.63 cnf(c_1362,plain,
% 6.94/1.63 (~in(X0_3,sK0)|X0_3 = 1|X0_3 = 5|X0_3 = 3),
% 6.94/1.63 inference(forward_subsumption_resolution,[status(thm)],[c_1360,c_61])).
% 6.94/1.63
% 6.94/1.63 cnf(c_1517,plain,
% 6.94/1.63 (sK2 = 1|sK2 = 5|sK2 = 3),
% 6.94/1.63 inference(superposition,[status(thm)],[c_72,c_1362])).
% 6.94/1.63
% 6.94/1.63 cnf(c_1518,plain,
% 6.94/1.63 (sK1 = 1|sK1 = 5|sK1 = 3),
% 6.94/1.63 inference(superposition,[status(thm)],[c_73,c_1362])).
% 6.94/1.63
% 6.94/1.63 cnf(c_1826,plain,
% 6.94/1.63 ($less_int(3,$sum_int(1,5))),
% 6.94/1.63 inference(superposition,[status(thm)],[c_874,c_1068])).
% 6.94/1.63
% 6.94/1.63 cnf(c_2419,plain,
% 6.94/1.63 (sK1 = 1|sK1 = 5|$less_int(sK1,$sum_int(1,5))),
% 6.94/1.63 inference(superposition,[status(thm)],[c_1518,c_1826])).
% 6.94/1.63
% 6.94/1.63 cnf(c_2563,plain,
% 6.94/1.63 (sK1 = 1|sK1 = 5|$less_int(sK1,6)),
% 6.94/1.63 inference(smt_theory_normalisation,[status(thm)],[c_2419])).
% 6.94/1.63
% 6.94/1.63 cnf(c_24969,plain,
% 6.94/1.63 ($false),
% 6.94/1.63 inference(smt_impl_just,[status(thm)],[c_2563,c_1518,c_1517,c_71,c_70])).
% 6.94/1.63
% 6.94/1.63
% 6.94/1.63 % SZS output end CNFRefutation for theBenchmark.p
% 6.94/1.63
% 6.94/1.63
%------------------------------------------------------------------------------