TSTP Solution File: DAT078_1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : DAT078_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 22:15:35 EDT 2023
% Result : Theorem 23.16s 3.65s
% Output : CNFRefutation 23.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : DAT078_1 : TPTP v8.1.2. Released v6.1.0.
% 0.09/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n004.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 : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 14:08:08 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.47 Running TFA theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 23.16/3.65 % SZS status Started for theBenchmark.p
% 23.16/3.65 % SZS status Theorem for theBenchmark.p
% 23.16/3.65
% 23.16/3.65 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 23.16/3.65
% 23.16/3.65 ------ iProver source info
% 23.16/3.65
% 23.16/3.65 git: date: 2023-05-31 18:12:56 +0000
% 23.16/3.65 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 23.16/3.65 git: non_committed_changes: false
% 23.16/3.65 git: last_make_outside_of_git: false
% 23.16/3.65
% 23.16/3.65 ------ Parsing...
% 23.16/3.65 ------ Clausification by vclausify_rel & Parsing by iProver...
% 23.16/3.65
% 23.16/3.65 ------ 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
% 23.16/3.65
% 23.16/3.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.16/3.65
% 23.16/3.65 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 23.16/3.65 ------ Proving...
% 23.16/3.65 ------ Problem Properties
% 23.16/3.65
% 23.16/3.65
% 23.16/3.65 clauses 29
% 23.16/3.65 conjectures 1
% 23.16/3.65 EPR 5
% 23.16/3.65 Horn 16
% 23.16/3.65 unary 10
% 23.16/3.65 binary 9
% 23.16/3.65 lits 66
% 23.16/3.65 lits eq 24
% 23.16/3.65 fd_pure 0
% 23.16/3.65 fd_pseudo 0
% 23.16/3.65 fd_cond 0
% 23.16/3.65 fd_pseudo_cond 7
% 23.16/3.65 AC symbols 1
% 23.16/3.65
% 23.16/3.65 ------ Input Options Time Limit: Unbounded
% 23.16/3.65
% 23.16/3.65
% 23.16/3.65 ------
% 23.16/3.65 Current options:
% 23.16/3.65 ------
% 23.16/3.65
% 23.16/3.65
% 23.16/3.65
% 23.16/3.65
% 23.16/3.65 ------ Proving...
% 23.16/3.65
% 23.16/3.65
% 23.16/3.65 % SZS status Theorem for theBenchmark.p
% 23.16/3.65
% 23.16/3.65 % SZS output start CNFRefutation for theBenchmark.p
% 23.16/3.65
% 23.16/3.65 tff(f4,axiom,(
% 23.16/3.65 ! [X2 : $int,X1 : $int] : read(init(X2),X1) = X2),
% 23.16/3.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)).
% 23.16/3.65
% 23.16/3.65 tff(f6,axiom,(
% 23.16/3.65 ! [X0 : array,X5 : $int] : (sorted(X0,X5) <=> ! [X1 : $int,X3 : $int] : (($less(X3,X5) & $less(X1,X3) & $less(X1,X5) & $lesseq(0,X1)) => $lesseq(read(X0,X1),read(X0,X3))))),
% 23.16/3.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted1)).
% 23.16/3.65
% 23.16/3.65 tff(f8,axiom,(
% 23.16/3.65 ! [X0 : array,X5 : $int] : (distinct(X0,X5) <=> ! [X1 : $int,X3 : $int] : (($greatereq(X1,0) & $greatereq(X3,0) & $greater(X5,X3) & $greater(X5,X1)) => (read(X0,X3) = read(X0,X1) => X1 = X3)))),
% 23.16/3.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct)).
% 23.16/3.65
% 23.16/3.65 tff(f10,conjecture,(
% 23.16/3.65 ~! [X0 : array,X5 : $int] : (($greater(X5,0) & sorted(X0,X5)) => distinct(X0,X5))),
% 23.16/3.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6)).
% 23.16/3.65
% 23.16/3.65 tff(f11,negated_conjecture,(
% 23.16/3.65 ~~! [X0 : array,X5 : $int] : (($greater(X5,0) & sorted(X0,X5)) => distinct(X0,X5))),
% 23.16/3.65 inference(negated_conjecture,[],[f10])).
% 23.16/3.65
% 23.16/3.65 tff(f13,plain,(
% 23.16/3.65 ! [X0 : array,X5 : $int] : (sorted(X0,X5) <=> ! [X1 : $int,X3 : $int] : (($less(X3,X5) & $less(X1,X3) & $less(X1,X5) & ~$less(X1,0)) => ~$less(read(X0,X3),read(X0,X1))))),
% 23.16/3.65 inference(theory_normalization,[],[f6])).
% 23.16/3.65
% 23.16/3.65 tff(f15,plain,(
% 23.16/3.65 ! [X0 : array,X5 : $int] : (distinct(X0,X5) <=> ! [X1 : $int,X3 : $int] : ((~$less(X1,0) & ~$less(X3,0) & $less(X3,X5) & $less(X1,X5)) => (read(X0,X3) = read(X0,X1) => X1 = X3)))),
% 23.16/3.65 inference(theory_normalization,[],[f8])).
% 23.16/3.65
% 23.16/3.65 tff(f17,plain,(
% 23.16/3.65 ! [X0 : array,X5 : $int] : (($less(0,X5) & sorted(X0,X5)) => distinct(X0,X5))),
% 23.16/3.65 inference(theory_normalization,[],[f11])).
% 23.16/3.65
% 23.16/3.65 tff(f18,plain,(
% 23.16/3.65 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 23.16/3.65 introduced(theory_axiom_138,[])).
% 23.16/3.65
% 23.16/3.65 tff(f19,plain,(
% 23.16/3.65 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 23.16/3.65 introduced(theory_axiom_139,[])).
% 23.16/3.65
% 23.16/3.65 tff(f20,plain,(
% 23.16/3.65 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 23.16/3.65 introduced(theory_axiom_140,[])).
% 23.16/3.65
% 23.16/3.65 tff(f22,plain,(
% 23.16/3.65 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 23.16/3.65 introduced(theory_axiom_143,[])).
% 23.16/3.65
% 23.16/3.65 tff(f23,plain,(
% 23.16/3.65 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 23.16/3.65 introduced(theory_axiom_145,[])).
% 23.16/3.65
% 23.16/3.65 tff(f24,plain,(
% 23.16/3.65 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 23.16/3.65 introduced(theory_axiom_146,[])).
% 23.16/3.65
% 23.16/3.65 tff(f25,plain,(
% 23.16/3.65 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 23.16/3.65 introduced(theory_axiom_147,[])).
% 23.16/3.65
% 23.16/3.65 tff(f27,plain,(
% 23.16/3.65 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 23.16/3.65 introduced(theory_axiom_150,[])).
% 23.16/3.65
% 23.16/3.65 tff(f29,plain,(
% 23.16/3.65 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 23.16/3.65 introduced(theory_axiom_164,[])).
% 23.16/3.65
% 23.16/3.65 tff(f32,plain,(
% 23.16/3.65 ! [X0 : $int,X1 : $int] : read(init(X0),X1) = X0),
% 23.16/3.65 inference(rectify,[],[f4])).
% 23.16/3.65
% 23.16/3.65 tff(f34,plain,(
% 23.16/3.65 ! [X0 : array,X1 : $int] : (sorted(X0,X1) <=> ! [X2 : $int,X3 : $int] : (($less(X3,X1) & $less(X2,X3) & $less(X2,X1) & ~$less(X2,0)) => ~$less(read(X0,X3),read(X0,X2))))),
% 23.16/3.65 inference(rectify,[],[f13])).
% 23.16/3.65
% 23.16/3.65 tff(f36,plain,(
% 23.16/3.65 ! [X0 : array,X1 : $int] : (distinct(X0,X1) <=> ! [X2 : $int,X3 : $int] : ((~$less(X2,0) & ~$less(X3,0) & $less(X3,X1) & $less(X2,X1)) => (read(X0,X3) = read(X0,X2) => X2 = X3)))),
% 23.16/3.65 inference(rectify,[],[f15])).
% 23.16/3.65
% 23.16/3.65 tff(f38,plain,(
% 23.16/3.65 ! [X0 : array,X1 : $int] : (($less(0,X1) & sorted(X0,X1)) => distinct(X0,X1))),
% 23.16/3.65 inference(rectify,[],[f17])).
% 23.16/3.65
% 23.16/3.65 tff(f39,plain,(
% 23.16/3.65 ! [X0 : array,X1 : $int] : (distinct(X0,X1) => ! [X2 : $int,X3 : $int] : ((~$less(X2,0) & ~$less(X3,0) & $less(X3,X1) & $less(X2,X1)) => (read(X0,X3) = read(X0,X2) => X2 = X3)))),
% 23.16/3.65 inference(unused_predicate_definition_removal,[],[f36])).
% 23.16/3.65
% 23.16/3.65 tff(f40,plain,(
% 23.16/3.65 ! [X0 : array,X1 : $int] : (! [X2 : $int,X3 : $int] : (($less(X3,X1) & $less(X2,X3) & $less(X2,X1) & ~$less(X2,0)) => ~$less(read(X0,X3),read(X0,X2))) => sorted(X0,X1))),
% 23.16/3.65 inference(unused_predicate_definition_removal,[],[f34])).
% 23.16/3.65
% 23.16/3.65 tff(f44,plain,(
% 23.16/3.65 ! [X0 : array,X1 : $int] : (sorted(X0,X1) | ? [X2 : $int,X3 : $int] : ($less(read(X0,X3),read(X0,X2)) & ($less(X3,X1) & $less(X2,X3) & $less(X2,X1) & ~$less(X2,0))))),
% 23.16/3.65 inference(ennf_transformation,[],[f40])).
% 23.16/3.65
% 23.16/3.65 tff(f45,plain,(
% 23.16/3.65 ! [X0 : array,X1 : $int] : (sorted(X0,X1) | ? [X2 : $int,X3 : $int] : ($less(read(X0,X3),read(X0,X2)) & $less(X3,X1) & $less(X2,X3) & $less(X2,X1) & ~$less(X2,0)))),
% 23.16/3.65 inference(flattening,[],[f44])).
% 23.16/3.65
% 23.16/3.65 tff(f46,plain,(
% 23.16/3.65 ! [X0 : array,X1 : $int] : (! [X2 : $int,X3 : $int] : ((X2 = X3 | read(X0,X3) != read(X0,X2)) | ($less(X2,0) | $less(X3,0) | ~$less(X3,X1) | ~$less(X2,X1))) | ~distinct(X0,X1))),
% 23.16/3.65 inference(ennf_transformation,[],[f39])).
% 23.16/3.65
% 23.16/3.65 tff(f47,plain,(
% 23.16/3.65 ! [X0 : array,X1 : $int] : (! [X2 : $int,X3 : $int] : (X2 = X3 | read(X0,X3) != read(X0,X2) | $less(X2,0) | $less(X3,0) | ~$less(X3,X1) | ~$less(X2,X1)) | ~distinct(X0,X1))),
% 23.16/3.65 inference(flattening,[],[f46])).
% 23.16/3.65
% 23.16/3.65 tff(f49,plain,(
% 23.16/3.65 ! [X0 : array,X1 : $int] : (distinct(X0,X1) | (~$less(0,X1) | ~sorted(X0,X1)))),
% 23.16/3.65 inference(ennf_transformation,[],[f38])).
% 23.16/3.65
% 23.16/3.65 tff(f50,plain,(
% 23.16/3.65 ! [X0 : array,X1 : $int] : (distinct(X0,X1) | ~$less(0,X1) | ~sorted(X0,X1))),
% 23.16/3.65 inference(flattening,[],[f49])).
% 23.16/3.65
% 23.16/3.65 tff(f55,plain,(
% 23.16/3.65 ! [X0 : array,X1 : $int] : (? [X2 : $int,X3 : $int] : ($less(read(X0,X3),read(X0,X2)) & $less(X3,X1) & $less(X2,X3) & $less(X2,X1) & ~$less(X2,0)) => ($less(read(X0,sK3(X0,X1)),read(X0,sK2(X0,X1))) & $less(sK3(X0,X1),X1) & $less(sK2(X0,X1),sK3(X0,X1)) & $less(sK2(X0,X1),X1) & ~$less(sK2(X0,X1),0)))),
% 23.16/3.65 introduced(choice_axiom,[])).
% 23.16/3.65
% 23.16/3.65 tff(f56,plain,(
% 23.16/3.65 ! [X0 : array,X1 : $int] : (sorted(X0,X1) | ($less(read(X0,sK3(X0,X1)),read(X0,sK2(X0,X1))) & $less(sK3(X0,X1),X1) & $less(sK2(X0,X1),sK3(X0,X1)) & $less(sK2(X0,X1),X1) & ~$less(sK2(X0,X1),0)))),
% 23.16/3.65 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f45,f55])).
% 23.16/3.65
% 23.16/3.65 tff(f62,plain,(
% 23.16/3.65 ( ! [X0 : $int,X1 : $int] : (read(init(X0),X1) = X0) )),
% 23.16/3.65 inference(cnf_transformation,[],[f32])).
% 23.16/3.65
% 23.16/3.65 tff(f70,plain,(
% 23.16/3.65 ( ! [X0 : array,X1 : $int] : (sorted(X0,X1) | $less(read(X0,sK3(X0,X1)),read(X0,sK2(X0,X1)))) )),
% 23.16/3.65 inference(cnf_transformation,[],[f56])).
% 23.16/3.65
% 23.16/3.65 tff(f71,plain,(
% 23.16/3.65 ( ! [X2 : $int,X3 : $int,X0 : array,X1 : $int] : (X2 = X3 | read(X0,X3) != read(X0,X2) | $less(X2,0) | $less(X3,0) | ~$less(X3,X1) | ~$less(X2,X1) | ~distinct(X0,X1)) )),
% 23.16/3.65 inference(cnf_transformation,[],[f47])).
% 23.16/3.65
% 23.16/3.65 tff(f75,plain,(
% 23.16/3.65 ( ! [X0 : array,X1 : $int] : (distinct(X0,X1) | ~$less(0,X1) | ~sorted(X0,X1)) )),
% 23.16/3.65 inference(cnf_transformation,[],[f50])).
% 23.16/3.65
% 23.16/3.65 cnf(c_49,plain,
% 23.16/3.65 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 23.16/3.65 inference(cnf_transformation,[],[f29])).
% 23.16/3.65
% 23.16/3.65 cnf(c_51,plain,
% 23.16/3.65 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 23.16/3.65 inference(cnf_transformation,[],[f27])).
% 23.16/3.65
% 23.16/3.65 cnf(c_53,plain,
% 23.16/3.65 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 23.16/3.65 inference(cnf_transformation,[],[f25])).
% 23.16/3.65
% 23.16/3.65 cnf(c_54,plain,
% 23.16/3.65 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 23.16/3.65 inference(cnf_transformation,[],[f24])).
% 23.16/3.65
% 23.16/3.65 cnf(c_55,plain,
% 23.16/3.65 (~$less_int(X0_3,X0_3)),
% 23.16/3.65 inference(cnf_transformation,[],[f23])).
% 23.16/3.65
% 23.16/3.65 cnf(c_56,plain,
% 23.16/3.65 ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 23.16/3.65 inference(cnf_transformation,[],[f22])).
% 23.16/3.65
% 23.16/3.65 cnf(c_58,plain,
% 23.16/3.65 ($sum_int(X0_3,0) = X0_3),
% 23.16/3.65 inference(cnf_transformation,[],[f20])).
% 23.16/3.65
% 23.16/3.65 cnf(c_59,plain,
% 23.16/3.65 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 23.16/3.65 inference(cnf_transformation,[],[f19])).
% 23.16/3.65
% 23.16/3.65 cnf(c_60,plain,
% 23.16/3.65 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 23.16/3.65 inference(cnf_transformation,[],[f18])).
% 23.16/3.65
% 23.16/3.65 cnf(c_64,plain,
% 23.16/3.65 (read(init(X0_3),X1_3) = X0_3),
% 23.16/3.65 inference(cnf_transformation,[],[f62])).
% 23.16/3.65
% 23.16/3.65 cnf(c_68,plain,
% 23.16/3.65 ($less_int(read(X0_13,sK3(X0_13,X0_3)),read(X0_13,sK2(X0_13,X0_3)))|
% 23.16/3.65 sorted(X0_13,X0_3)),
% 23.16/3.65 inference(cnf_transformation,[],[f70])).
% 23.16/3.65
% 23.16/3.65 cnf(c_73,plain,
% 23.16/3.65 (read(X0_13,X0_3) != read(X0_13,X1_3)|~$less_int(X0_3,X2_3)|~$less_int(X1_3,X2_3)|
% 23.16/3.65 ~distinct(X0_13,X2_3)|X0_3 = X1_3|$less_int(X0_3,0)|$less_int(X1_3,0)),
% 23.16/3.65 inference(cnf_transformation,[],[f71])).
% 23.16/3.65
% 23.16/3.65 cnf(c_77,negated_conjecture,
% 23.16/3.65 (~sorted(X0_13,X0_3)|~$less_int(0,X0_3)|distinct(X0_13,X0_3)),
% 23.16/3.65 inference(cnf_transformation,[],[f75])).
% 23.16/3.65
% 23.16/3.65 cnf(c_78,plain,($less_int(0,1)),theory(arith)).
% 23.16/3.65
% 23.16/3.65 cnf(c_79,plain,
% 23.16/3.65 (~$less_int(0,0)),
% 23.16/3.65 inference(instantiation,[status(thm)],[c_55])).
% 23.16/3.65
% 23.16/3.65 cnf(c_91,plain,
% 23.16/3.65 (0 = 0|$less_int(0,0)),
% 23.16/3.65 inference(instantiation,[status(thm)],[c_53])).
% 23.16/3.65
% 23.16/3.65 cnf(c_989,plain,(X0_3 = X0_3),theory(equality)).
% 23.16/3.65
% 23.16/3.65 cnf(c_995,plain,
% 23.16/3.65 (X0_3 != X1_3|X2_3 != X3_3|~$less_int(X1_3,X3_3)|$less_int(X0_3,X2_3)),
% 23.16/3.65 theory(equality)).
% 23.16/3.65
% 23.16/3.65 cnf(c_1613,plain,
% 23.16/3.65 ($less_int(X0_3,$sum_int(1,X1_3))|$less_int(X1_3,X0_3)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_60,c_51])).
% 23.16/3.65
% 23.16/3.65 cnf(c_1615,plain,
% 23.16/3.65 ($sum_int(0,X0_3) = X0_3),
% 23.16/3.65 inference(superposition,[status(thm)],[c_60,c_58])).
% 23.16/3.65
% 23.16/3.65 cnf(c_1749,plain,
% 23.16/3.65 (~$less_int(X0_3,$sum_int(1,X1_3))|~$less_int(X1_3,X0_3)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_60,c_49])).
% 23.16/3.65
% 23.16/3.65 cnf(c_1751,plain,
% 23.16/3.65 (~$less_int(X0_3,1)|~$less_int(0,X0_3)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_1615,c_49])).
% 23.16/3.65
% 23.16/3.65 cnf(c_1845,plain,
% 23.16/3.65 (~$less_int($sum_int(1,X0_3),1)|$less_int(X0_3,0)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_1613,c_1751])).
% 23.16/3.65
% 23.16/3.65 cnf(c_1907,plain,
% 23.16/3.65 (~$less_int(1,X0_3)|$less_int(0,X0_3)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_78,c_54])).
% 23.16/3.65
% 23.16/3.65 cnf(c_1960,plain,
% 23.16/3.65 (~$less_int(1,0)|$less_int(0,0)),
% 23.16/3.65 inference(instantiation,[status(thm)],[c_1907])).
% 23.16/3.65
% 23.16/3.65 cnf(c_1976,plain,
% 23.16/3.65 (X0_3 != 0|X1_3 != 1|~$less_int(0,1)|$less_int(X0_3,X1_3)),
% 23.16/3.65 inference(instantiation,[status(thm)],[c_995])).
% 23.16/3.65
% 23.16/3.65 cnf(c_1977,plain,
% 23.16/3.65 (0 != 1|0 != 0|~$less_int(0,1)|$less_int(0,0)),
% 23.16/3.65 inference(instantiation,[status(thm)],[c_1976])).
% 23.16/3.65
% 23.16/3.65 cnf(c_2205,plain,(1 = 1),inference(instantiation,[status(thm)],[c_989])).
% 23.16/3.65
% 23.16/3.65 cnf(c_2896,plain,
% 23.16/3.65 (~$less_int(X0_3,X1_3)|$sum_int(1,X0_3) = X1_3|$less_int($sum_int(1,X0_3),X1_3)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_53,c_1749])).
% 23.16/3.65
% 23.16/3.65 cnf(c_3183,plain,
% 23.16/3.65 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,1)|$less_int(X0_3,1)),
% 23.16/3.65 inference(instantiation,[status(thm)],[c_54])).
% 23.16/3.65
% 23.16/3.65 cnf(c_3192,plain,
% 23.16/3.65 (X0_3 != X1_3|X2_3 != 1|~$less_int(X1_3,1)|$less_int(X0_3,X2_3)),
% 23.16/3.65 inference(instantiation,[status(thm)],[c_995])).
% 23.16/3.65
% 23.16/3.65 cnf(c_8461,plain,
% 23.16/3.65 (X0_3 != X1_3|1 != 1|~$less_int(X1_3,1)|$less_int(X0_3,1)),
% 23.16/3.65 inference(instantiation,[status(thm)],[c_3192])).
% 23.16/3.65
% 23.16/3.65 cnf(c_16831,plain,
% 23.16/3.65 ($less_int(X0_3,$sum_int(X0_3,1))),
% 23.16/3.65 inference(superposition,[status(thm)],[c_51,c_55])).
% 23.16/3.65
% 23.16/3.65 cnf(c_16832,plain,
% 23.16/3.65 (~sorted(X0_13,$sum_int(X0_3,1))|distinct(X0_13,$sum_int(X0_3,1))|
% 23.16/3.65 $less_int(X0_3,0)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_51,c_77])).
% 23.16/3.65
% 23.16/3.65 cnf(c_16841,plain,
% 23.16/3.65 ($sum_int(0,X0_3) = X0_3),
% 23.16/3.65 inference(superposition,[status(thm)],[c_60,c_58])).
% 23.16/3.65
% 23.16/3.65 cnf(c_16854,plain,
% 23.16/3.65 ($sum_int(X0_3,$sum_int($uminus_int(X0_3),X1_3)) = $sum_int(0,X1_3)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_56,c_59])).
% 23.16/3.65
% 23.16/3.65 cnf(c_16861,plain,
% 23.16/3.65 ($sum_int(X0_3,$sum_int($uminus_int(X0_3),X1_3)) = X1_3),
% 23.16/3.65 inference(demodulation,[status(thm)],[c_16854,c_16841])).
% 23.16/3.65
% 23.16/3.65 cnf(c_16915,plain,
% 23.16/3.65 (~sorted(X0_13,$sum_int(1,X0_3))|distinct(X0_13,$sum_int(X0_3,1))|
% 23.16/3.65 $less_int(X0_3,0)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_60,c_16832])).
% 23.16/3.65
% 23.16/3.65 cnf(c_16936,plain,
% 23.16/3.65 (~sorted(X0_13,X0_3)|distinct(X0_13,$sum_int($sum_int($uminus_int(1),X0_3),1))|
% 23.16/3.65 $less_int($sum_int($uminus_int(1),X0_3),0)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_16861,c_16915])).
% 23.16/3.65
% 23.16/3.65 cnf(c_16944,plain,
% 23.16/3.65 (~sorted(X0_13,X0_3)|distinct(X0_13,$sum_int(1,$sum_int(X0_3,$uminus_int(1))))|
% 23.16/3.65 $less_int($sum_int($uminus_int(1),X0_3),0)),
% 23.16/3.65 inference(theory_normalisation,[status(thm)],[c_16936,c_59,c_60])).
% 23.16/3.65
% 23.16/3.65 cnf(c_16988,plain,
% 23.16/3.65 (~sorted(X0_13,X0_3)|distinct(X0_13,X0_3)|$less_int(X0_3,1)),
% 23.16/3.65 inference(smt_theory_normalisation,[status(thm)],[c_16944])).
% 23.16/3.65
% 23.16/3.65 cnf(c_17138,plain,
% 23.16/3.65 (~sorted(X0_13,X0_3)|X0_3 = 0|distinct(X0_13,X0_3)|$less_int(X0_3,0)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_53,c_77])).
% 23.16/3.65
% 23.16/3.65 cnf(c_17530,plain,
% 23.16/3.65 ($less_int(X0_3,read(init(X0_3),sK2(init(X0_3),X1_3)))|sorted(init(X0_3),X1_3)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_64,c_68])).
% 23.16/3.65
% 23.16/3.65 cnf(c_18403,plain,
% 23.16/3.65 (read(init(X0_3),X1_3) != X0_3|~distinct(init(X0_3),X2_3)|~$less_int(X1_3,X2_3)|
% 23.16/3.65 ~$less_int(X3_3,X2_3)|X1_3 = X3_3|$less_int(X1_3,0)|$less_int(X3_3,0)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_64,c_73])).
% 23.16/3.65
% 23.16/3.65 cnf(c_18405,plain,
% 23.16/3.65 (~distinct(init(X0_3),X1_3)|~$less_int(X2_3,X1_3)|~$less_int(X3_3,X1_3)|
% 23.16/3.65 X2_3 = X3_3|$less_int(X2_3,0)|$less_int(X3_3,0)),
% 23.16/3.65 inference(forward_subsumption_resolution,[status(thm)],[c_18403,c_64])).
% 23.16/3.65
% 23.16/3.65 cnf(c_18837,plain,
% 23.16/3.65 ($less_int(X0_3,$sum_int(1,X0_3))),
% 23.16/3.65 inference(superposition,[status(thm)],[c_60,c_16831])).
% 23.16/3.65
% 23.16/3.65 cnf(c_25134,plain,
% 23.16/3.65 (sorted(init(X0_3),X1_3)|$less_int(X0_3,X0_3)),
% 23.16/3.65 inference(demodulation,[status(thm)],[c_17530,c_64])).
% 23.16/3.65
% 23.16/3.65 cnf(c_25135,plain,
% 23.16/3.65 (sorted(init(X0_3),X1_3)),
% 23.16/3.65 inference(forward_subsumption_resolution,[status(thm)],[c_25134,c_55])).
% 23.16/3.65
% 23.16/3.65 cnf(c_25136,plain,
% 23.16/3.65 (X0_3 = 0|distinct(init(X1_3),X0_3)|$less_int(X0_3,0)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_25135,c_17138])).
% 23.16/3.65
% 23.16/3.65 cnf(c_25137,plain,
% 23.16/3.65 (distinct(init(X0_3),X1_3)|$less_int(X1_3,1)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_25135,c_16988])).
% 23.16/3.65
% 23.16/3.65 cnf(c_40589,plain,
% 23.16/3.65 ($sum_int(1,X0_3) != X1_3|1 != 1|~$less_int(X1_3,1)|$less_int($sum_int(1,X0_3),1)),
% 23.16/3.65 inference(instantiation,[status(thm)],[c_8461])).
% 23.16/3.65
% 23.16/3.65 cnf(c_40591,plain,
% 23.16/3.65 (~$less_int($sum_int(1,X0_3),X1_3)|~$less_int(X1_3,1)|$less_int($sum_int(1,X0_3),1)),
% 23.16/3.65 inference(instantiation,[status(thm)],[c_3183])).
% 23.16/3.65
% 23.16/3.65 cnf(c_91193,plain,
% 23.16/3.65 (~$less_int(X0_3,X1_3)|~$less_int(X2_3,X1_3)|X0_3 = X2_3|$less_int(X0_3,0)|
% 23.16/3.65 $less_int(X1_3,1)|$less_int(X2_3,0)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_25137,c_18405])).
% 23.16/3.65
% 23.16/3.65 cnf(c_91194,plain,
% 23.16/3.65 (~$less_int(X0_3,X1_3)|~$less_int(X2_3,X1_3)|X0_3 = X2_3|X1_3 = 0|
% 23.16/3.65 $less_int(X0_3,0)|$less_int(X1_3,0)|$less_int(X2_3,0)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_25136,c_18405])).
% 23.16/3.65
% 23.16/3.65 cnf(c_94707,plain,
% 23.16/3.65 ($less_int(X0_3,0)|~$less_int(X0_3,X1_3)|~$less_int(X2_3,X1_3)|X0_3 = X2_3|
% 23.16/3.65 $less_int(X2_3,0)),
% 23.16/3.65 inference(global_subsumption_just,
% 23.16/3.65 [status(thm)],
% 23.16/3.65 [c_91194,c_1845,c_2205,c_2896,c_40591,c_40589,c_91193])).
% 23.16/3.65
% 23.16/3.65 cnf(c_94708,plain,
% 23.16/3.65 (~$less_int(X0_3,X1_3)|~$less_int(X2_3,X1_3)|X0_3 = X2_3|$less_int(X0_3,0)|
% 23.16/3.65 $less_int(X2_3,0)),
% 23.16/3.65 inference(renaming,[status(thm)],[c_94707])).
% 23.16/3.65
% 23.16/3.65 cnf(c_94742,plain,
% 23.16/3.65 (~$less_int(X0_3,$sum_int(1,X1_3))|X0_3 = X1_3|$less_int(X0_3,0)|
% 23.16/3.65 $less_int(X1_3,0)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_18837,c_94708])).
% 23.16/3.65
% 23.16/3.65 cnf(c_101586,plain,
% 23.16/3.65 (X0_3 = 1|$less_int(X0_3,0)|$less_int(1,X0_3)|$less_int(1,0)),
% 23.16/3.65 inference(superposition,[status(thm)],[c_51,c_94742])).
% 23.16/3.65
% 23.16/3.65 cnf(c_101703,plain,
% 23.16/3.65 (0 = 1|$less_int(1,0)|$less_int(0,0)),
% 23.16/3.65 inference(instantiation,[status(thm)],[c_101586])).
% 23.16/3.65
% 23.16/3.65 cnf(c_101704,plain,
% 23.16/3.65 ($false),
% 23.16/3.65 inference(prop_impl_just,
% 23.16/3.65 [status(thm)],
% 23.16/3.65 [c_101703,c_1977,c_1960,c_91,c_79,c_78])).
% 23.16/3.65
% 23.16/3.65
% 23.16/3.65 % SZS output end CNFRefutation for theBenchmark.p
% 23.16/3.65
% 23.16/3.65
%------------------------------------------------------------------------------