TSTP Solution File: ARI646_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI646_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 : Fri May 3 02:07:27 EDT 2024
% Result : Theorem 3.61s 1.12s
% Output : CNFRefutation 3.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ARI646_1 : TPTP v8.1.2. Released v6.3.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 3 01:05:33 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.18/0.44 Running TFA theorem proving
% 0.18/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.61/1.12 % SZS status Started for theBenchmark.p
% 3.61/1.12 % SZS status Theorem for theBenchmark.p
% 3.61/1.12
% 3.61/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.61/1.12
% 3.61/1.12 ------ iProver source info
% 3.61/1.12
% 3.61/1.12 git: date: 2024-05-02 19:28:25 +0000
% 3.61/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.61/1.12 git: non_committed_changes: false
% 3.61/1.12
% 3.61/1.12 ------ Parsing...
% 3.61/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.61/1.12
% 3.61/1.12 ------ 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
% 3.61/1.12
% 3.61/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.61/1.12
% 3.61/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.61/1.12 ------ Proving...
% 3.61/1.12 ------ Problem Properties
% 3.61/1.12
% 3.61/1.12
% 3.61/1.12 clauses 35
% 3.61/1.12 conjectures 3
% 3.61/1.12 EPR 27
% 3.61/1.12 Horn 31
% 3.61/1.12 unary 17
% 3.61/1.12 binary 14
% 3.61/1.12 lits 65
% 3.61/1.12 lits eq 27
% 3.61/1.12 fd_pure 0
% 3.61/1.12 fd_pseudo 0
% 3.61/1.12 fd_cond 0
% 3.61/1.12 fd_pseudo_cond 1
% 3.61/1.12 AC symbols 1
% 3.61/1.12
% 3.61/1.12 ------ Input Options Time Limit: Unbounded
% 3.61/1.12
% 3.61/1.12
% 3.61/1.12 ------
% 3.61/1.12 Current options:
% 3.61/1.12 ------
% 3.61/1.12
% 3.61/1.12
% 3.61/1.12
% 3.61/1.12
% 3.61/1.12 ------ Proving...
% 3.61/1.12
% 3.61/1.12
% 3.61/1.12 % SZS status Theorem for theBenchmark.p
% 3.61/1.12
% 3.61/1.12 % SZS output start CNFRefutation for theBenchmark.p
% 3.61/1.12
% 3.61/1.12 tff(f1,conjecture,(
% 3.61/1.12 ($lesseq(0,a) & $greater(10,a)) <=> (a = 0 | a = 1 | a = 2 | a = 3 | a = 4 | a = 5 | a = 6 | a = 7 | a = 8 | a = 9)),
% 3.61/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 3.61/1.12
% 3.61/1.12 tff(f2,negated_conjecture,(
% 3.61/1.12 ~(($lesseq(0,a) & $greater(10,a)) <=> (a = 0 | a = 1 | a = 2 | a = 3 | a = 4 | a = 5 | a = 6 | a = 7 | a = 8 | a = 9))),
% 3.61/1.12 inference(negated_conjecture,[],[f1])).
% 3.61/1.12
% 3.61/1.12 tff(f3,plain,(
% 3.61/1.12 ~((~$less(a,0) & $less(a,10)) <=> (a = 0 | a = 1 | a = 2 | a = 3 | a = 4 | a = 5 | a = 6 | a = 7 | a = 8 | a = 9))),
% 3.61/1.12 inference(theory_normalization,[],[f2])).
% 3.61/1.12
% 3.61/1.12 tff(f4,plain,(
% 3.61/1.12 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.61/1.12 introduced(theory_axiom_138,[])).
% 3.61/1.12
% 3.61/1.12 tff(f5,plain,(
% 3.61/1.12 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.61/1.12 introduced(theory_axiom_139,[])).
% 3.61/1.12
% 3.61/1.12 tff(f6,plain,(
% 3.61/1.12 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 3.61/1.12 introduced(theory_axiom_140,[])).
% 3.61/1.12
% 3.61/1.12 tff(f9,plain,(
% 3.61/1.12 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 3.61/1.12 introduced(theory_axiom_145,[])).
% 3.61/1.12
% 3.61/1.12 tff(f10,plain,(
% 3.61/1.12 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 3.61/1.12 introduced(theory_axiom_146,[])).
% 3.61/1.12
% 3.61/1.12 tff(f11,plain,(
% 3.61/1.12 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 3.61/1.12 introduced(theory_axiom_147,[])).
% 3.61/1.12
% 3.61/1.12 tff(f13,plain,(
% 3.61/1.12 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 3.61/1.12 introduced(theory_axiom_150,[])).
% 3.61/1.12
% 3.61/1.12 tff(f15,plain,(
% 3.61/1.12 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 3.61/1.12 introduced(theory_axiom_164,[])).
% 3.61/1.12
% 3.61/1.12 tff(f16,plain,(
% 3.61/1.12 (~$less(a,0) & $less(a,10)) <~> (a = 0 | a = 1 | a = 2 | a = 3 | a = 4 | a = 5 | a = 6 | a = 7 | a = 8 | a = 9)),
% 3.61/1.12 inference(ennf_transformation,[],[f3])).
% 3.61/1.12
% 3.61/1.12 tff(f17,plain,(
% 3.61/1.12 sP0 <=> (a = 0 | a = 1 | a = 2 | a = 3 | a = 4 | a = 5 | a = 6 | a = 7 | a = 8 | a = 9)),
% 3.61/1.12 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])).
% 3.61/1.12
% 3.61/1.12 tff(f18,plain,(
% 3.61/1.12 (~$less(a,0) & $less(a,10)) <~> sP0),
% 3.61/1.12 inference(definition_folding,[],[f16,f17])).
% 3.61/1.12
% 3.61/1.12 tff(f19,plain,(
% 3.61/1.12 (sP0 | (a != 0 & a != 1 & a != 2 & a != 3 & a != 4 & a != 5 & a != 6 & a != 7 & a != 8 & a != 9)) & ((a = 0 | a = 1 | a = 2 | a = 3 | a = 4 | a = 5 | a = 6 | a = 7 | a = 8 | a = 9) | ~sP0)),
% 3.61/1.12 inference(nnf_transformation,[],[f17])).
% 3.61/1.12
% 3.61/1.12 tff(f20,plain,(
% 3.61/1.12 (sP0 | (a != 0 & a != 1 & a != 2 & a != 3 & a != 4 & a != 5 & a != 6 & a != 7 & a != 8 & a != 9)) & (a = 0 | a = 1 | a = 2 | a = 3 | a = 4 | a = 5 | a = 6 | a = 7 | a = 8 | a = 9 | ~sP0)),
% 3.61/1.12 inference(flattening,[],[f19])).
% 3.61/1.12
% 3.61/1.12 tff(f21,plain,(
% 3.61/1.12 (~sP0 | ($less(a,0) | ~$less(a,10))) & (sP0 | (~$less(a,0) & $less(a,10)))),
% 3.61/1.12 inference(nnf_transformation,[],[f18])).
% 3.61/1.12
% 3.61/1.12 tff(f22,plain,(
% 3.61/1.12 (~sP0 | $less(a,0) | ~$less(a,10)) & (sP0 | (~$less(a,0) & $less(a,10)))),
% 3.61/1.12 inference(flattening,[],[f21])).
% 3.61/1.12
% 3.61/1.12 tff(f23,plain,(
% 3.61/1.12 a = 0 | a = 1 | a = 2 | a = 3 | a = 4 | a = 5 | a = 6 | a = 7 | a = 8 | a = 9 | ~sP0),
% 3.61/1.12 inference(cnf_transformation,[],[f20])).
% 3.61/1.12
% 3.61/1.12 tff(f24,plain,(
% 3.61/1.12 sP0 | a != 9),
% 3.61/1.12 inference(cnf_transformation,[],[f20])).
% 3.61/1.12
% 3.61/1.12 tff(f25,plain,(
% 3.61/1.12 sP0 | a != 8),
% 3.61/1.12 inference(cnf_transformation,[],[f20])).
% 3.61/1.12
% 3.61/1.12 tff(f26,plain,(
% 3.61/1.12 sP0 | a != 7),
% 3.61/1.12 inference(cnf_transformation,[],[f20])).
% 3.61/1.12
% 3.61/1.12 tff(f27,plain,(
% 3.61/1.12 sP0 | a != 6),
% 3.61/1.12 inference(cnf_transformation,[],[f20])).
% 3.61/1.12
% 3.61/1.12 tff(f28,plain,(
% 3.61/1.12 sP0 | a != 5),
% 3.61/1.12 inference(cnf_transformation,[],[f20])).
% 3.61/1.12
% 3.61/1.12 tff(f29,plain,(
% 3.61/1.12 sP0 | a != 4),
% 3.61/1.12 inference(cnf_transformation,[],[f20])).
% 3.61/1.12
% 3.61/1.12 tff(f30,plain,(
% 3.61/1.12 sP0 | a != 3),
% 3.61/1.12 inference(cnf_transformation,[],[f20])).
% 3.61/1.12
% 3.61/1.12 tff(f31,plain,(
% 3.61/1.12 sP0 | a != 2),
% 3.61/1.12 inference(cnf_transformation,[],[f20])).
% 3.61/1.12
% 3.61/1.12 tff(f32,plain,(
% 3.61/1.12 sP0 | a != 1),
% 3.61/1.12 inference(cnf_transformation,[],[f20])).
% 3.61/1.12
% 3.61/1.12 tff(f33,plain,(
% 3.61/1.12 sP0 | a != 0),
% 3.61/1.12 inference(cnf_transformation,[],[f20])).
% 3.61/1.12
% 3.61/1.12 tff(f34,plain,(
% 3.61/1.12 sP0 | $less(a,10)),
% 3.61/1.12 inference(cnf_transformation,[],[f22])).
% 3.61/1.12
% 3.61/1.12 tff(f35,plain,(
% 3.61/1.12 sP0 | ~$less(a,0)),
% 3.61/1.12 inference(cnf_transformation,[],[f22])).
% 3.61/1.12
% 3.61/1.12 tff(f36,plain,(
% 3.61/1.12 ~sP0 | $less(a,0) | ~$less(a,10)),
% 3.61/1.12 inference(cnf_transformation,[],[f22])).
% 3.61/1.12
% 3.61/1.12 cnf(c_49,plain,
% 3.61/1.12 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 3.61/1.12 inference(cnf_transformation,[],[f15])).
% 3.61/1.12
% 3.61/1.12 cnf(c_51,plain,
% 3.61/1.12 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 3.61/1.12 inference(cnf_transformation,[],[f13])).
% 3.61/1.12
% 3.61/1.12 cnf(c_53,plain,
% 3.61/1.12 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 3.61/1.12 inference(cnf_transformation,[],[f11])).
% 3.61/1.12
% 3.61/1.12 cnf(c_54,plain,
% 3.61/1.12 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 3.61/1.12 inference(cnf_transformation,[],[f10])).
% 3.61/1.12
% 3.61/1.12 cnf(c_55,plain,
% 3.61/1.12 (~$less_int(X0_3,X0_3)),
% 3.61/1.12 inference(cnf_transformation,[],[f9])).
% 3.61/1.12
% 3.61/1.12 cnf(c_58,plain,
% 3.61/1.12 ($sum_int(X0_3,0) = X0_3),
% 3.61/1.12 inference(cnf_transformation,[],[f6])).
% 3.61/1.12
% 3.61/1.12 cnf(c_59,plain,
% 3.61/1.12 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.61/1.12 inference(cnf_transformation,[],[f5])).
% 3.61/1.12
% 3.61/1.12 cnf(c_60,plain,
% 3.61/1.12 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.61/1.12 inference(cnf_transformation,[],[f4])).
% 3.61/1.12
% 3.61/1.12 cnf(c_61,plain,(a != 0|sP0),inference(cnf_transformation,[],[f33])).
% 3.61/1.12
% 3.61/1.12 cnf(c_62,plain,(a != 1|sP0),inference(cnf_transformation,[],[f32])).
% 3.61/1.12
% 3.61/1.12 cnf(c_63,plain,(a != 2|sP0),inference(cnf_transformation,[],[f31])).
% 3.61/1.12
% 3.61/1.12 cnf(c_64,plain,(a != 3|sP0),inference(cnf_transformation,[],[f30])).
% 3.61/1.12
% 3.61/1.12 cnf(c_65,plain,(a != 4|sP0),inference(cnf_transformation,[],[f29])).
% 3.61/1.12
% 3.61/1.12 cnf(c_66,plain,(a != 5|sP0),inference(cnf_transformation,[],[f28])).
% 3.61/1.12
% 3.61/1.12 cnf(c_67,plain,(a != 6|sP0),inference(cnf_transformation,[],[f27])).
% 3.61/1.12
% 3.61/1.12 cnf(c_68,plain,(a != 7|sP0),inference(cnf_transformation,[],[f26])).
% 3.61/1.12
% 3.61/1.12 cnf(c_69,plain,(a != 8|sP0),inference(cnf_transformation,[],[f25])).
% 3.61/1.12
% 3.61/1.12 cnf(c_70,plain,(a != 9|sP0),inference(cnf_transformation,[],[f24])).
% 3.61/1.12
% 3.61/1.12 cnf(c_71,plain,
% 3.61/1.12 (~sP0|a = 1|a = 0|a = 2|a = 3|a = 4|a = 5|a = 6|a = 7|a = 8|a = 9),
% 3.61/1.12 inference(cnf_transformation,[],[f23])).
% 3.61/1.12
% 3.61/1.12 cnf(c_72,negated_conjecture,
% 3.61/1.12 (~$less_int(a,10)|~sP0|$less_int(a,0)),
% 3.61/1.12 inference(cnf_transformation,[],[f36])).
% 3.61/1.12
% 3.61/1.12 cnf(c_73,negated_conjecture,
% 3.61/1.12 (~$less_int(a,0)|sP0),
% 3.61/1.12 inference(cnf_transformation,[],[f35])).
% 3.61/1.12
% 3.61/1.12 cnf(c_74,negated_conjecture,
% 3.61/1.12 ($less_int(a,10)|sP0),
% 3.61/1.12 inference(cnf_transformation,[],[f34])).
% 3.61/1.12
% 3.61/1.12 cnf(c_75,plain,($less_int(0,1)),theory(arith)).
% 3.61/1.12
% 3.61/1.12 cnf(c_76,plain,($less_int(1,2)),theory(arith)).
% 3.61/1.12
% 3.61/1.12 cnf(c_77,plain,($less_int(2,3)),theory(arith)).
% 3.61/1.12
% 3.61/1.12 cnf(c_78,plain,($less_int(3,4)),theory(arith)).
% 3.61/1.12
% 3.61/1.12 cnf(c_79,plain,($less_int(4,5)),theory(arith)).
% 3.61/1.12
% 3.61/1.12 cnf(c_80,plain,($less_int(5,6)),theory(arith)).
% 3.61/1.12
% 3.61/1.12 cnf(c_81,plain,($less_int(6,7)),theory(arith)).
% 3.61/1.12
% 3.61/1.12 cnf(c_82,plain,($less_int(7,8)),theory(arith)).
% 3.61/1.12
% 3.61/1.12 cnf(c_83,plain,($less_int(8,9)),theory(arith)).
% 3.61/1.12
% 3.61/1.12 cnf(c_84,plain,($less_int(9,10)),theory(arith)).
% 3.61/1.12
% 3.61/1.12 cnf(c_85,plain,
% 3.61/1.12 (~$less_int(a,a)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_55])).
% 3.61/1.12
% 3.61/1.12 cnf(c_91,plain,
% 3.61/1.12 (a = a|$less_int(a,a)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_53])).
% 3.61/1.12
% 3.61/1.12 cnf(c_142,plain,
% 3.61/1.12 (sP0|~$less_int(a,0)),
% 3.61/1.12 inference(prop_impl_just,[status(thm)],[c_73])).
% 3.61/1.12
% 3.61/1.12 cnf(c_143,plain,
% 3.61/1.12 (~$less_int(a,0)|sP0),
% 3.61/1.12 inference(renaming,[status(thm)],[c_142])).
% 3.61/1.12
% 3.61/1.12 cnf(c_476,plain,
% 3.61/1.12 (~$less_int(a,0)|a = 1|a = 0|a = 2|a = 3|a = 4|a = 5|a = 6|a = 7|
% 3.61/1.12 a = 8|a = 9),
% 3.61/1.12 inference(resolution,[status(thm)],[c_143,c_71])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1201,plain,
% 3.61/1.12 (X0_3 != X1_3|X2_3 != X3_3|~$less_int(X1_3,X3_3)|$less_int(X0_3,X2_3)),
% 3.61/1.12 theory(equality)).
% 3.61/1.12
% 3.61/1.12 cnf(c_1818,plain,
% 3.61/1.12 ($less_int(X0_3,$sum_int(X0_3,1))),
% 3.61/1.12 inference(superposition,[status(thm)],[c_51,c_55])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1825,plain,
% 3.61/1.12 ($sum_int(0,X0_3) = X0_3),
% 3.61/1.12 inference(superposition,[status(thm)],[c_60,c_58])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1839,plain,
% 3.61/1.12 ($less_int(X0_3,$sum_int(1,X0_3))),
% 3.61/1.12 inference(superposition,[status(thm)],[c_60,c_1818])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1852,plain,
% 3.61/1.12 (~$less_int(X0_3,1)|~$less_int(0,X0_3)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_1825,c_49])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1853,plain,
% 3.61/1.12 ($less_int(X0_3,1)|$less_int(0,X0_3)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_1825,c_51])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1861,plain,
% 3.61/1.12 ($less_int(a,1)|$less_int(0,a)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_1853])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1862,plain,
% 3.61/1.12 (~$less_int(a,1)|~$less_int(0,a)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_1852])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1956,plain,
% 3.61/1.12 (a = 0|$less_int(0,a)|sP0),
% 3.61/1.12 inference(superposition,[status(thm)],[c_53,c_73])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1957,plain,
% 3.61/1.12 (~sP0|a = 10|$less_int(a,0)|$less_int(10,a)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_53,c_72])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1989,plain,
% 3.61/1.12 (~$less_int(10,X0_3)|$less_int(a,X0_3)|sP0),
% 3.61/1.12 inference(superposition,[status(thm)],[c_74,c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1990,plain,
% 3.61/1.12 (~$less_int(1,X0_3)|$less_int(0,X0_3)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_75,c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1991,plain,
% 3.61/1.12 (~$less_int(2,X0_3)|$less_int(1,X0_3)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_76,c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1993,plain,
% 3.61/1.12 (~$less_int(4,X0_3)|$less_int(3,X0_3)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_78,c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1994,plain,
% 3.61/1.12 (~$less_int(5,X0_3)|$less_int(4,X0_3)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_79,c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1995,plain,
% 3.61/1.12 (~$less_int(6,X0_3)|$less_int(5,X0_3)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_80,c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1996,plain,
% 3.61/1.12 (~$less_int(7,X0_3)|$less_int(6,X0_3)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_81,c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1997,plain,
% 3.61/1.12 (~$less_int(8,X0_3)|$less_int(7,X0_3)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_82,c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1998,plain,
% 3.61/1.12 (~$less_int(9,X0_3)|$less_int(8,X0_3)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_83,c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_1999,plain,
% 3.61/1.12 (~$less_int(10,X0_3)|$less_int(9,X0_3)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_84,c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2081,plain,
% 3.61/1.12 (~$less_int(0,$sum_int(a,1))|~$less_int(a,0)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_49])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2165,plain,
% 3.61/1.12 (~$less_int(X0_3,0)|~$less_int(0,1)|$less_int(X0_3,1)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2166,plain,
% 3.61/1.12 (~$less_int(a,0)|~$less_int(0,1)|$less_int(a,1)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2165])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2167,plain,
% 3.61/1.12 (~$less_int(X0_3,1)|~$less_int(1,2)|$less_int(X0_3,2)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2168,plain,
% 3.61/1.12 (~$less_int(a,1)|~$less_int(1,2)|$less_int(a,2)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2167])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2169,plain,
% 3.61/1.12 (~$less_int(X0_3,2)|~$less_int(2,3)|$less_int(X0_3,3)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2170,plain,
% 3.61/1.12 (~$less_int(a,2)|~$less_int(2,3)|$less_int(a,3)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2169])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2171,plain,
% 3.61/1.12 (~$less_int(X0_3,3)|~$less_int(3,4)|$less_int(X0_3,4)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2172,plain,
% 3.61/1.12 (~$less_int(a,3)|~$less_int(3,4)|$less_int(a,4)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2171])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2173,plain,
% 3.61/1.12 (~$less_int(X0_3,4)|~$less_int(4,5)|$less_int(X0_3,5)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2174,plain,
% 3.61/1.12 (~$less_int(a,4)|~$less_int(4,5)|$less_int(a,5)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2173])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2175,plain,
% 3.61/1.12 (~$less_int(X0_3,5)|~$less_int(5,6)|$less_int(X0_3,6)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2176,plain,
% 3.61/1.12 (~$less_int(a,5)|~$less_int(5,6)|$less_int(a,6)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2175])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2177,plain,
% 3.61/1.12 (~$less_int(X0_3,6)|~$less_int(6,7)|$less_int(X0_3,7)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2178,plain,
% 3.61/1.12 (~$less_int(a,6)|~$less_int(6,7)|$less_int(a,7)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2177])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2179,plain,
% 3.61/1.12 (~$less_int(X0_3,7)|~$less_int(7,8)|$less_int(X0_3,8)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2180,plain,
% 3.61/1.12 (~$less_int(a,7)|~$less_int(7,8)|$less_int(a,8)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2179])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2181,plain,
% 3.61/1.12 (~$less_int(X0_3,8)|~$less_int(8,9)|$less_int(X0_3,9)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2182,plain,
% 3.61/1.12 (~$less_int(a,8)|~$less_int(8,9)|$less_int(a,9)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2181])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2183,plain,
% 3.61/1.12 (~$less_int(X0_3,9)|~$less_int(9,10)|$less_int(X0_3,10)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2184,plain,
% 3.61/1.12 (~$less_int(a,9)|~$less_int(9,10)|$less_int(a,10)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2183])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2195,plain,
% 3.61/1.12 ($less_int(0,a)|sP0),
% 3.61/1.12 inference(global_subsumption_just,[status(thm)],[c_1956,c_61,c_1956])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2217,plain,
% 3.61/1.12 ($less_int(a,1)|$less_int(0,10)|sP0),
% 3.61/1.12 inference(superposition,[status(thm)],[c_1853,c_1989])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2263,plain,
% 3.61/1.12 ($less_int(0,10)|sP0),
% 3.61/1.12 inference(global_subsumption_just,
% 3.61/1.12 [status(thm)],
% 3.61/1.12 [c_2217,c_61,c_1862,c_1956,c_2217])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2269,plain,
% 3.61/1.12 (~$less_int(10,X0_3)|$less_int(0,X0_3)|sP0),
% 3.61/1.12 inference(superposition,[status(thm)],[c_2263,c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2275,plain,
% 3.61/1.12 (X0_3 != a|X1_3 != 0|~$less_int(a,0)|$less_int(X0_3,X1_3)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_1201])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2276,plain,
% 3.61/1.12 (a != a|a != 0|~$less_int(a,0)|$less_int(a,a)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2275])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2295,plain,
% 3.61/1.12 (X0_3 != 9|X1_3 != 10|~$less_int(9,10)|$less_int(X0_3,X1_3)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_1201])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2296,plain,
% 3.61/1.12 (a != 9|a != 10|~$less_int(9,10)|$less_int(a,a)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2295])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2406,plain,
% 3.61/1.12 ($less_int(1,3)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_77,c_1991])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2440,plain,
% 3.61/1.12 ($less_int(0,3)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_2406,c_1990])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2448,plain,
% 3.61/1.12 (~$less_int(3,X0_3)|$less_int(0,X0_3)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_2440,c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2550,plain,
% 3.61/1.12 (X0_3 != X1_3|X2_3 != 1|~$less_int(X1_3,1)|$less_int(X0_3,X2_3)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_1201])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2551,plain,
% 3.61/1.12 (a != a|a != 1|~$less_int(a,1)|$less_int(a,a)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2550])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2616,plain,
% 3.61/1.12 (X0_3 != X1_3|X2_3 != 2|~$less_int(X1_3,2)|$less_int(X0_3,X2_3)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_1201])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2617,plain,
% 3.61/1.12 (a != a|a != 2|~$less_int(a,2)|$less_int(a,a)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2616])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2680,plain,
% 3.61/1.12 (X0_3 != X1_3|X2_3 != 3|~$less_int(X1_3,3)|$less_int(X0_3,X2_3)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_1201])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2681,plain,
% 3.61/1.12 (a != a|a != 3|~$less_int(a,3)|$less_int(a,a)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2680])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2682,plain,
% 3.61/1.12 ($less_int(0,X0_3)|~$less_int(10,X0_3)),
% 3.61/1.12 inference(global_subsumption_just,
% 3.61/1.12 [status(thm)],
% 3.61/1.12 [c_2269,c_1999,c_1998,c_1997,c_1996,c_1995,c_1994,c_1993,
% 3.61/1.12 c_2448])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2683,plain,
% 3.61/1.12 (~$less_int(10,X0_3)|$less_int(0,X0_3)),
% 3.61/1.12 inference(renaming,[status(thm)],[c_2682])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2697,plain,
% 3.61/1.12 (~sP0|a = 10|$less_int(a,0)|$less_int(0,a)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_1957,c_2683])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2717,plain,
% 3.61/1.12 ($less_int(a,0)|$less_int(0,a)),
% 3.61/1.12 inference(global_subsumption_just,
% 3.61/1.12 [status(thm)],
% 3.61/1.12 [c_2697,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_72,
% 3.61/1.12 c_1861,c_2168,c_2170,c_2172,c_2174,c_2176,c_2178,c_2180,
% 3.61/1.12 c_2182,c_2184,c_2195])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2723,plain,
% 3.61/1.12 (~$less_int(a,X0_3)|$less_int(0,X0_3)|$less_int(a,0)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_2717,c_54])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2864,plain,
% 3.61/1.12 (X0_3 != X1_3|X2_3 != 4|~$less_int(X1_3,4)|$less_int(X0_3,X2_3)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_1201])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2865,plain,
% 3.61/1.12 (a != a|a != 4|~$less_int(a,4)|$less_int(a,a)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2864])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2885,plain,
% 3.61/1.12 (X0_3 != X1_3|X2_3 != 5|~$less_int(X1_3,5)|$less_int(X0_3,X2_3)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_1201])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2886,plain,
% 3.61/1.12 (a != a|a != 5|~$less_int(a,5)|$less_int(a,a)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2885])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2933,plain,
% 3.61/1.12 (X0_3 != X1_3|X2_3 != 6|~$less_int(X1_3,6)|$less_int(X0_3,X2_3)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_1201])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2934,plain,
% 3.61/1.12 (a != a|a != 6|~$less_int(a,6)|$less_int(a,a)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2933])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2992,plain,
% 3.61/1.12 (X0_3 != X1_3|X2_3 != 7|~$less_int(X1_3,7)|$less_int(X0_3,X2_3)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_1201])).
% 3.61/1.12
% 3.61/1.12 cnf(c_2993,plain,
% 3.61/1.12 (a != a|a != 7|~$less_int(a,7)|$less_int(a,a)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_2992])).
% 3.61/1.12
% 3.61/1.12 cnf(c_3098,plain,
% 3.61/1.12 (X0_3 != X1_3|X2_3 != 8|~$less_int(X1_3,8)|$less_int(X0_3,X2_3)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_1201])).
% 3.61/1.12
% 3.61/1.12 cnf(c_3099,plain,
% 3.61/1.12 (a != a|a != 8|~$less_int(a,8)|$less_int(a,a)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_3098])).
% 3.61/1.12
% 3.61/1.12 cnf(c_3130,plain,
% 3.61/1.12 (X0_3 != X1_3|X2_3 != 9|~$less_int(X1_3,9)|$less_int(X0_3,X2_3)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_1201])).
% 3.61/1.12
% 3.61/1.12 cnf(c_3131,plain,
% 3.61/1.12 (a != a|a != 9|~$less_int(a,9)|$less_int(a,a)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_3130])).
% 3.61/1.12
% 3.61/1.12 cnf(c_3430,plain,
% 3.61/1.12 ($less_int(0,X0_3)|~$less_int(a,X0_3)),
% 3.61/1.12 inference(global_subsumption_just,
% 3.61/1.12 [status(thm)],
% 3.61/1.12 [c_2723,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_85,
% 3.61/1.12 c_91,c_476,c_2166,c_2168,c_2170,c_2172,c_2174,c_2176,c_2178,
% 3.61/1.12 c_2180,c_2182,c_2276,c_2551,c_2617,c_2681,c_2723,c_2865,
% 3.61/1.12 c_2886,c_2934,c_2993,c_3099,c_3131])).
% 3.61/1.12
% 3.61/1.12 cnf(c_3431,plain,
% 3.61/1.12 (~$less_int(a,X0_3)|$less_int(0,X0_3)),
% 3.61/1.12 inference(renaming,[status(thm)],[c_3430])).
% 3.61/1.12
% 3.61/1.12 cnf(c_3442,plain,
% 3.61/1.12 ($less_int(0,$sum_int(1,a))),
% 3.61/1.12 inference(superposition,[status(thm)],[c_1839,c_3431])).
% 3.61/1.12
% 3.61/1.12 cnf(c_3452,plain,
% 3.61/1.12 ($less_int(0,$sum_int(a,1))),
% 3.61/1.12 inference(theory_normalisation,[status(thm)],[c_3442,c_59,c_60])).
% 3.61/1.12
% 3.61/1.12 cnf(c_3883,plain,
% 3.61/1.12 (X0_3 = 9|$less_int(X0_3,9)|$less_int(9,X0_3)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_53])).
% 3.61/1.12
% 3.61/1.12 cnf(c_3884,plain,
% 3.61/1.12 (a = 9|$less_int(a,9)|$less_int(9,a)),
% 3.61/1.12 inference(instantiation,[status(thm)],[c_3883])).
% 3.61/1.12
% 3.61/1.12 cnf(c_3910,plain,
% 3.61/1.12 (~sP0|a = 10|$less_int(a,0)|$less_int(9,a)),
% 3.61/1.12 inference(superposition,[status(thm)],[c_1957,c_1999])).
% 3.61/1.12
% 3.61/1.12 cnf(c_4015,plain,
% 3.61/1.12 (~sP0|$less_int(9,a)),
% 3.61/1.12 inference(global_subsumption_just,
% 3.61/1.12 [status(thm)],
% 3.61/1.12 [c_3910,c_84,c_85,c_72,c_2081,c_2184,c_2296,c_3452,c_3884,
% 3.61/1.12 c_3910])).
% 3.61/1.12
% 3.61/1.12 cnf(c_5679,plain,
% 3.61/1.12 ($false),
% 3.61/1.12 inference(smt_impl_just,
% 3.61/1.12 [status(thm)],
% 3.61/1.12 [c_4015,c_3452,c_2717,c_74,c_71,c_70,c_69,c_68,c_67,c_66,
% 3.61/1.12 c_65,c_64,c_63,c_62])).
% 3.61/1.12
% 3.61/1.12
% 3.61/1.12 % SZS output end CNFRefutation for theBenchmark.p
% 3.61/1.12
% 3.61/1.12
%------------------------------------------------------------------------------