TSTP Solution File: DAT026_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : DAT026_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 22:15:23 EDT 2023
% Result : Theorem 3.73s 1.14s
% Output : CNFRefutation 3.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : DAT026_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n009.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 14:12:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running TFA theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.73/1.14 % SZS status Started for theBenchmark.p
% 3.73/1.14 % SZS status Theorem for theBenchmark.p
% 3.73/1.14
% 3.73/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.73/1.14
% 3.73/1.14 ------ iProver source info
% 3.73/1.14
% 3.73/1.14 git: date: 2023-05-31 18:12:56 +0000
% 3.73/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.73/1.14 git: non_committed_changes: false
% 3.73/1.14 git: last_make_outside_of_git: false
% 3.73/1.14
% 3.73/1.14 ------ Parsing...
% 3.73/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.73/1.14
% 3.73/1.14 ------ 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
% 3.73/1.14
% 3.73/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.73/1.14
% 3.73/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.73/1.14 ------ Proving...
% 3.73/1.14 ------ Problem Properties
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14 clauses 25
% 3.73/1.14 conjectures 5
% 3.73/1.14 EPR 10
% 3.73/1.14 Horn 21
% 3.73/1.14 unary 16
% 3.73/1.14 binary 5
% 3.73/1.14 lits 38
% 3.73/1.14 lits eq 10
% 3.73/1.14 fd_pure 0
% 3.73/1.14 fd_pseudo 0
% 3.73/1.14 fd_cond 0
% 3.73/1.14 fd_pseudo_cond 3
% 3.73/1.14 AC symbols 1
% 3.73/1.14
% 3.73/1.14 ------ Input Options Time Limit: Unbounded
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14 ------
% 3.73/1.14 Current options:
% 3.73/1.14 ------
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14 ------ Proving...
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14 % SZS status Theorem for theBenchmark.p
% 3.73/1.14
% 3.73/1.14 % SZS output start CNFRefutation for theBenchmark.p
% 3.73/1.14
% 3.73/1.14 tff(f4,axiom,(
% 3.73/1.14 ! [X5 : $int,X6 : collection,X7 : $int] : ((X5 = X7 | in(X5,X6)) <=> in(X5,add(X7,X6)))),
% 3.73/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)).
% 3.73/1.14
% 3.73/1.14 tff(f5,axiom,(
% 3.73/1.14 ! [X8 : $int,X9 : collection,X10 : $int] : ((X8 != X10 & in(X8,X9)) <=> in(X8,remove(X10,X9)))),
% 3.73/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)).
% 3.73/1.14
% 3.73/1.14 tff(f6,conjecture,(
% 3.73/1.14 ! [X0 : collection,X1 : collection,X2 : $int] : ((add($sum(X2,2),remove(X2,X1)) = X0 & in(X2,X1) & ! [X3 : $int] : (in(X3,X1) => $greater(X3,0))) => ! [X4 : $int] : (in(X4,X0) => $greater(X4,0)))),
% 3.73/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 3.73/1.14
% 3.73/1.14 tff(f7,negated_conjecture,(
% 3.73/1.14 ~! [X0 : collection,X1 : collection,X2 : $int] : ((add($sum(X2,2),remove(X2,X1)) = X0 & in(X2,X1) & ! [X3 : $int] : (in(X3,X1) => $greater(X3,0))) => ! [X4 : $int] : (in(X4,X0) => $greater(X4,0)))),
% 3.73/1.14 inference(negated_conjecture,[],[f6])).
% 3.73/1.14
% 3.73/1.14 tff(f8,plain,(
% 3.73/1.14 ~! [X0 : collection,X1 : collection,X2 : $int] : ((add($sum(X2,2),remove(X2,X1)) = X0 & in(X2,X1) & ! [X3 : $int] : (in(X3,X1) => $less(0,X3))) => ! [X4 : $int] : (in(X4,X0) => $less(0,X4)))),
% 3.73/1.14 inference(theory_normalization,[],[f7])).
% 3.73/1.14
% 3.73/1.14 tff(f9,plain,(
% 3.73/1.14 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.73/1.14 introduced(theory_axiom_138,[])).
% 3.73/1.14
% 3.73/1.14 tff(f10,plain,(
% 3.73/1.14 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.73/1.14 introduced(theory_axiom_139,[])).
% 3.73/1.14
% 3.73/1.14 tff(f11,plain,(
% 3.73/1.14 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 3.73/1.14 introduced(theory_axiom_140,[])).
% 3.73/1.14
% 3.73/1.14 tff(f14,plain,(
% 3.73/1.14 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 3.73/1.14 introduced(theory_axiom_145,[])).
% 3.73/1.14
% 3.73/1.14 tff(f15,plain,(
% 3.73/1.14 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 3.73/1.14 introduced(theory_axiom_146,[])).
% 3.73/1.14
% 3.73/1.14 tff(f18,plain,(
% 3.73/1.14 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 3.73/1.14 introduced(theory_axiom_150,[])).
% 3.73/1.14
% 3.73/1.14 tff(f20,plain,(
% 3.73/1.14 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 3.73/1.14 introduced(theory_axiom_164,[])).
% 3.73/1.14
% 3.73/1.14 tff(f23,plain,(
% 3.73/1.14 ! [X0 : $int,X1 : collection,X2 : $int] : ((X0 = X2 | in(X0,X1)) <=> in(X0,add(X2,X1)))),
% 3.73/1.14 inference(rectify,[],[f4])).
% 3.73/1.14
% 3.73/1.14 tff(f24,plain,(
% 3.73/1.14 ! [X0 : $int,X1 : collection,X2 : $int] : ((X0 != X2 & in(X0,X1)) <=> in(X0,remove(X2,X1)))),
% 3.73/1.14 inference(rectify,[],[f5])).
% 3.73/1.14
% 3.73/1.14 tff(f25,plain,(
% 3.73/1.14 ? [X0 : collection,X1 : collection,X2 : $int] : (? [X4 : $int] : (~$less(0,X4) & in(X4,X0)) & (add($sum(X2,2),remove(X2,X1)) = X0 & in(X2,X1) & ! [X3 : $int] : ($less(0,X3) | ~in(X3,X1))))),
% 3.73/1.14 inference(ennf_transformation,[],[f8])).
% 3.73/1.14
% 3.73/1.14 tff(f26,plain,(
% 3.73/1.14 ? [X0 : collection,X1 : collection,X2 : $int] : (? [X4 : $int] : (~$less(0,X4) & in(X4,X0)) & add($sum(X2,2),remove(X2,X1)) = X0 & in(X2,X1) & ! [X3 : $int] : ($less(0,X3) | ~in(X3,X1)))),
% 3.73/1.14 inference(flattening,[],[f25])).
% 3.73/1.14
% 3.73/1.14 tff(f27,plain,(
% 3.73/1.14 ! [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))))),
% 3.73/1.14 inference(nnf_transformation,[],[f23])).
% 3.73/1.14
% 3.73/1.14 tff(f28,plain,(
% 3.73/1.14 ! [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))))),
% 3.73/1.14 inference(flattening,[],[f27])).
% 3.73/1.14
% 3.73/1.14 tff(f29,plain,(
% 3.73/1.14 ! [X0 : $int,X1 : collection,X2 : $int] : (((X0 != X2 & in(X0,X1)) | ~in(X0,remove(X2,X1))) & (in(X0,remove(X2,X1)) | (X0 = X2 | ~in(X0,X1))))),
% 3.73/1.14 inference(nnf_transformation,[],[f24])).
% 3.73/1.14
% 3.73/1.14 tff(f30,plain,(
% 3.73/1.14 ! [X0 : $int,X1 : collection,X2 : $int] : (((X0 != X2 & in(X0,X1)) | ~in(X0,remove(X2,X1))) & (in(X0,remove(X2,X1)) | X0 = X2 | ~in(X0,X1)))),
% 3.73/1.14 inference(flattening,[],[f29])).
% 3.73/1.14
% 3.73/1.14 tff(f31,plain,(
% 3.73/1.14 ? [X0 : collection,X1 : collection,X2 : $int] : (? [X3 : $int] : (~$less(0,X3) & in(X3,X0)) & add($sum(X2,2),remove(X2,X1)) = X0 & in(X2,X1) & ! [X4 : $int] : ($less(0,X4) | ~in(X4,X1)))),
% 3.73/1.14 inference(rectify,[],[f26])).
% 3.73/1.14
% 3.73/1.14 tff(f32,plain,(
% 3.73/1.14 ? [X0 : collection,X1 : collection,X2 : $int] : (? [X3 : $int] : (~$less(0,X3) & in(X3,X0)) & add($sum(X2,2),remove(X2,X1)) = X0 & in(X2,X1) & ! [X4 : $int] : ($less(0,X4) | ~in(X4,X1))) => (? [X3 : $int] : (~$less(0,X3) & in(X3,sK0)) & sK0 = add($sum(sK2,2),remove(sK2,sK1)) & in(sK2,sK1) & ! [X4 : $int] : ($less(0,X4) | ~in(X4,sK1)))),
% 3.73/1.14 introduced(choice_axiom,[])).
% 3.73/1.14
% 3.73/1.14 tff(f33,plain,(
% 3.73/1.14 ? [X3 : $int] : (~$less(0,X3) & in(X3,sK0)) => (~$less(0,sK3) & in(sK3,sK0))),
% 3.73/1.14 introduced(choice_axiom,[])).
% 3.73/1.14
% 3.73/1.14 tff(f34,plain,(
% 3.73/1.14 (~$less(0,sK3) & in(sK3,sK0)) & sK0 = add($sum(sK2,2),remove(sK2,sK1)) & in(sK2,sK1) & ! [X4 : $int] : ($less(0,X4) | ~in(X4,sK1))),
% 3.73/1.14 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f31,f33,f32])).
% 3.73/1.14
% 3.73/1.14 tff(f40,plain,(
% 3.73/1.14 ( ! [X2 : $int,X0 : $int,X1 : collection] : (X0 = X2 | in(X0,X1) | ~in(X0,add(X2,X1))) )),
% 3.73/1.14 inference(cnf_transformation,[],[f28])).
% 3.73/1.14
% 3.73/1.14 tff(f42,plain,(
% 3.73/1.14 ( ! [X2 : $int,X0 : $int,X1 : collection] : (in(X0,X1) | ~in(X0,remove(X2,X1))) )),
% 3.73/1.14 inference(cnf_transformation,[],[f30])).
% 3.73/1.14
% 3.73/1.14 tff(f44,plain,(
% 3.73/1.14 ( ! [X4 : $int] : ($less(0,X4) | ~in(X4,sK1)) )),
% 3.73/1.14 inference(cnf_transformation,[],[f34])).
% 3.73/1.14
% 3.73/1.14 tff(f45,plain,(
% 3.73/1.14 in(sK2,sK1)),
% 3.73/1.14 inference(cnf_transformation,[],[f34])).
% 3.73/1.14
% 3.73/1.14 tff(f46,plain,(
% 3.73/1.14 sK0 = add($sum(sK2,2),remove(sK2,sK1))),
% 3.73/1.14 inference(cnf_transformation,[],[f34])).
% 3.73/1.14
% 3.73/1.14 tff(f47,plain,(
% 3.73/1.14 in(sK3,sK0)),
% 3.73/1.14 inference(cnf_transformation,[],[f34])).
% 3.73/1.14
% 3.73/1.14 tff(f48,plain,(
% 3.73/1.14 ~$less(0,sK3)),
% 3.73/1.14 inference(cnf_transformation,[],[f34])).
% 3.73/1.14
% 3.73/1.14 cnf(c_49,plain,
% 3.73/1.14 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 3.73/1.14 inference(cnf_transformation,[],[f20])).
% 3.73/1.14
% 3.73/1.14 cnf(c_51,plain,
% 3.73/1.14 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 3.73/1.14 inference(cnf_transformation,[],[f18])).
% 3.73/1.14
% 3.73/1.14 cnf(c_54,plain,
% 3.73/1.14 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 3.73/1.14 inference(cnf_transformation,[],[f15])).
% 3.73/1.14
% 3.73/1.14 cnf(c_55,plain,
% 3.73/1.14 (~$less_int(X0_3,X0_3)),
% 3.73/1.14 inference(cnf_transformation,[],[f14])).
% 3.73/1.14
% 3.73/1.14 cnf(c_58,plain,
% 3.73/1.14 ($sum_int(X0_3,0) = X0_3),
% 3.73/1.14 inference(cnf_transformation,[],[f11])).
% 3.73/1.14
% 3.73/1.14 cnf(c_59,plain,
% 3.73/1.14 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.73/1.14 inference(cnf_transformation,[],[f10])).
% 3.73/1.14
% 3.73/1.14 cnf(c_60,plain,
% 3.73/1.14 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.73/1.14 inference(cnf_transformation,[],[f9])).
% 3.73/1.14
% 3.73/1.14 cnf(c_64,plain,
% 3.73/1.14 (~in(X0_3,add(X1_3,X0_13))|X0_3 = X1_3|in(X0_3,X0_13)),
% 3.73/1.14 inference(cnf_transformation,[],[f40])).
% 3.73/1.14
% 3.73/1.14 cnf(c_68,plain,
% 3.73/1.14 (~in(X0_3,remove(X1_3,X0_13))|in(X0_3,X0_13)),
% 3.73/1.14 inference(cnf_transformation,[],[f42])).
% 3.73/1.14
% 3.73/1.14 cnf(c_70,negated_conjecture,
% 3.73/1.14 (~$less_int(0,sK3)),
% 3.73/1.14 inference(cnf_transformation,[],[f48])).
% 3.73/1.14
% 3.73/1.14 cnf(c_71,negated_conjecture,
% 3.73/1.14 (in(sK3,sK0)),
% 3.73/1.14 inference(cnf_transformation,[],[f47])).
% 3.73/1.14
% 3.73/1.14 cnf(c_72,negated_conjecture,
% 3.73/1.14 (add($sum_int(sK2,2),remove(sK2,sK1)) = sK0),
% 3.73/1.14 inference(cnf_transformation,[],[f46])).
% 3.73/1.14
% 3.73/1.14 cnf(c_73,negated_conjecture,
% 3.73/1.14 (in(sK2,sK1)),
% 3.73/1.14 inference(cnf_transformation,[],[f45])).
% 3.73/1.14
% 3.73/1.14 cnf(c_74,negated_conjecture,
% 3.73/1.14 (~in(X0_3,sK1)|$less_int(0,X0_3)),
% 3.73/1.14 inference(cnf_transformation,[],[f44])).
% 3.73/1.14
% 3.73/1.14 cnf(c_882,plain,
% 3.73/1.14 ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 3.73/1.14 inference(superposition,[status(thm)],[c_59,c_60])).
% 3.73/1.14
% 3.73/1.14 cnf(c_887,plain,
% 3.73/1.14 ($less_int(0,sK2)),
% 3.73/1.14 inference(superposition,[status(thm)],[c_73,c_74])).
% 3.73/1.14
% 3.73/1.14 cnf(c_901,plain,
% 3.73/1.14 ($less_int(X0_3,$sum_int(X0_3,1))),
% 3.73/1.14 inference(superposition,[status(thm)],[c_51,c_55])).
% 3.73/1.14
% 3.73/1.14 cnf(c_908,plain,
% 3.73/1.14 ($less_int(X0_3,$sum_int(1,X0_3))),
% 3.73/1.14 inference(superposition,[status(thm)],[c_60,c_901])).
% 3.73/1.14
% 3.73/1.14 cnf(c_910,plain,
% 3.73/1.14 ($sum_int(0,X0_3) = X0_3),
% 3.73/1.14 inference(superposition,[status(thm)],[c_60,c_58])).
% 3.73/1.14
% 3.73/1.14 cnf(c_918,plain,
% 3.73/1.14 ($less_int($sum_int(X0_3,X1_3),$sum_int(X0_3,$sum_int(1,X1_3)))),
% 3.73/1.14 inference(superposition,[status(thm)],[c_882,c_908])).
% 3.73/1.14
% 3.73/1.14 cnf(c_927,plain,
% 3.73/1.14 ($less_int(X0_3,1)|$less_int(0,X0_3)),
% 3.73/1.14 inference(superposition,[status(thm)],[c_910,c_51])).
% 3.73/1.14
% 3.73/1.14 cnf(c_943,plain,
% 3.73/1.14 ($less_int(sK3,1)),
% 3.73/1.14 inference(superposition,[status(thm)],[c_927,c_70])).
% 3.73/1.14
% 3.73/1.14 cnf(c_968,plain,
% 3.73/1.14 (~$less_int(X0_3,1)|~$less_int(0,X0_3)),
% 3.73/1.14 inference(superposition,[status(thm)],[c_910,c_49])).
% 3.73/1.14
% 3.73/1.14 cnf(c_1040,plain,
% 3.73/1.14 (~$less_int(sK2,1)),
% 3.73/1.14 inference(superposition,[status(thm)],[c_887,c_968])).
% 3.73/1.14
% 3.73/1.14 cnf(c_1163,plain,
% 3.73/1.14 (~$less_int(1,X0_3)|$less_int(sK3,X0_3)),
% 3.73/1.14 inference(superposition,[status(thm)],[c_943,c_54])).
% 3.73/1.14
% 3.73/1.14 cnf(c_1338,plain,
% 3.73/1.14 (~in(X0_3,sK0)|$sum_int(sK2,2) = X0_3|in(X0_3,remove(sK2,sK1))),
% 3.73/1.14 inference(superposition,[status(thm)],[c_72,c_64])).
% 3.73/1.14
% 3.73/1.14 cnf(c_1370,plain,
% 3.73/1.14 (~in(X0_3,sK0)|$sum_int(sK2,2) = X0_3|in(X0_3,sK1)),
% 3.73/1.14 inference(superposition,[status(thm)],[c_1338,c_68])).
% 3.73/1.14
% 3.73/1.14 cnf(c_1414,plain,
% 3.73/1.14 ($less_int(sK3,$sum_int(X0_3,1))|$less_int(X0_3,1)),
% 3.73/1.14 inference(superposition,[status(thm)],[c_51,c_1163])).
% 3.73/1.14
% 3.73/1.14 cnf(c_1507,plain,
% 3.73/1.14 ($sum_int(sK2,2) = sK3|in(sK3,sK1)),
% 3.73/1.14 inference(superposition,[status(thm)],[c_71,c_1370])).
% 3.73/1.14
% 3.73/1.14 cnf(c_1515,plain,
% 3.73/1.14 ($sum_int(sK2,2) = sK3|$less_int(0,sK3)),
% 3.73/1.14 inference(superposition,[status(thm)],[c_1507,c_74])).
% 3.73/1.14
% 3.73/1.14 cnf(c_1516,plain,
% 3.73/1.14 ($sum_int(sK2,2) = sK3),
% 3.73/1.14 inference(forward_subsumption_resolution,[status(thm)],[c_1515,c_70])).
% 3.73/1.14
% 3.73/1.14 cnf(c_1546,plain,
% 3.73/1.14 ($sum_int(sK2,$sum_int(X0_3,2)) = $sum_int(X0_3,sK3)),
% 3.73/1.14 inference(superposition,[status(thm)],[c_1516,c_882])).
% 3.73/1.14
% 3.73/1.14 cnf(c_1622,plain,
% 3.73/1.14 ($sum_int(-2,sK3) = sK2),
% 3.73/1.14 inference(smt_theory_normalisation,[status(thm)],[c_1546])).
% 3.73/1.14
% 3.73/1.14 cnf(c_1623,plain,
% 3.73/1.14 ($sum_int(sK3,-2) = sK2),
% 3.73/1.14 inference(theory_normalisation,[status(thm)],[c_1622,c_59,c_60])).
% 3.73/1.14
% 3.73/1.14 cnf(c_1627,plain,
% 3.73/1.14 ($less_int(sK2,$sum_int(sK3,$sum_int(1,-2)))),
% 3.73/1.14 inference(superposition,[status(thm)],[c_1623,c_918])).
% 3.73/1.14
% 3.73/1.14 cnf(c_1941,plain,
% 3.73/1.14 (~$less_int($sum_int(X0_3,1),X1_3)|$less_int(X0_3,1)|$less_int(sK3,X1_3)),
% 3.73/1.14 inference(superposition,[status(thm)],[c_1414,c_54])).
% 3.73/1.14
% 3.73/1.14 cnf(c_8830,plain,
% 3.73/1.14 ($less_int($sum_int(1,sK2),sK3)),
% 3.73/1.14 inference(smt_theory_normalisation,[status(thm)],[c_1627])).
% 3.73/1.14
% 3.73/1.14 cnf(c_8831,plain,
% 3.73/1.14 ($less_int($sum_int(sK2,1),sK3)),
% 3.73/1.14 inference(theory_normalisation,[status(thm)],[c_8830,c_59,c_60])).
% 3.73/1.14
% 3.73/1.14 cnf(c_8839,plain,
% 3.73/1.14 ($less_int(sK2,1)|$less_int(sK3,sK3)),
% 3.73/1.14 inference(superposition,[status(thm)],[c_8831,c_1941])).
% 3.73/1.14
% 3.73/1.14 cnf(c_8847,plain,
% 3.73/1.14 ($false),
% 3.73/1.14 inference(forward_subsumption_resolution,
% 3.73/1.14 [status(thm)],
% 3.73/1.14 [c_8839,c_55,c_1040])).
% 3.73/1.14
% 3.73/1.14
% 3.73/1.14 % SZS output end CNFRefutation for theBenchmark.p
% 3.73/1.14
% 3.73/1.14
%------------------------------------------------------------------------------