TSTP Solution File: DAT013_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : DAT013_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 02:14:11 EDT 2024
% Result : Theorem 3.82s 1.17s
% Output : CNFRefutation 3.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : DAT013_1 : TPTP v8.1.2. Released v5.0.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n031.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 May 2 19:17:31 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.48 Running TFA theorem proving
% 0.19/0.48 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
% 3.82/1.17 % SZS status Started for theBenchmark.p
% 3.82/1.17 % SZS status Theorem for theBenchmark.p
% 3.82/1.17
% 3.82/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.82/1.17
% 3.82/1.17 ------ iProver source info
% 3.82/1.17
% 3.82/1.17 git: date: 2024-05-02 19:28:25 +0000
% 3.82/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.82/1.17 git: non_committed_changes: false
% 3.82/1.17
% 3.82/1.17 ------ Parsing...
% 3.82/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.82/1.17
% 3.82/1.17 ------ 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
% 3.82/1.17
% 3.82/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.82/1.17
% 3.82/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.82/1.17 ------ Proving...
% 3.82/1.17 ------ Problem Properties
% 3.82/1.17
% 3.82/1.17
% 3.82/1.17 clauses 19
% 3.82/1.17 conjectures 4
% 3.82/1.17 EPR 6
% 3.82/1.17 Horn 15
% 3.82/1.17 unary 13
% 3.82/1.17 binary 3
% 3.82/1.17 lits 28
% 3.82/1.17 lits eq 10
% 3.82/1.17 fd_pure 0
% 3.82/1.17 fd_pseudo 0
% 3.82/1.17 fd_cond 0
% 3.82/1.17 fd_pseudo_cond 2
% 3.82/1.17 AC symbols 1
% 3.82/1.17
% 3.82/1.17 ------ Input Options Time Limit: Unbounded
% 3.82/1.17
% 3.82/1.17
% 3.82/1.17 ------
% 3.82/1.17 Current options:
% 3.82/1.17 ------
% 3.82/1.17
% 3.82/1.17
% 3.82/1.17
% 3.82/1.17
% 3.82/1.17 ------ Proving...
% 3.82/1.17
% 3.82/1.17
% 3.82/1.17 % SZS status Theorem for theBenchmark.p
% 3.82/1.17
% 3.82/1.17 % SZS output start CNFRefutation for theBenchmark.p
% 3.82/1.17
% 3.82/1.17 tff(f3,conjecture,(
% 3.82/1.17 ! [X0 : array,X1 : $int,X2 : $int] : (! [X3 : $int] : (($lesseq(X3,X2) & $lesseq(X1,X3)) => $greater(read(X0,X3),0)) => ! [X4 : $int] : (($lesseq(X4,X2) & $lesseq($sum(X1,3),X4)) => $greater(read(X0,X4),0)))),
% 3.82/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
% 3.82/1.17
% 3.82/1.17 tff(f4,negated_conjecture,(
% 3.82/1.17 ~! [X0 : array,X1 : $int,X2 : $int] : (! [X3 : $int] : (($lesseq(X3,X2) & $lesseq(X1,X3)) => $greater(read(X0,X3),0)) => ! [X4 : $int] : (($lesseq(X4,X2) & $lesseq($sum(X1,3),X4)) => $greater(read(X0,X4),0)))),
% 3.82/1.17 inference(negated_conjecture,[],[f3])).
% 3.82/1.17
% 3.82/1.17 tff(f5,plain,(
% 3.82/1.17 ~! [X0 : array,X1 : $int,X2 : $int] : (! [X3 : $int] : ((~$less(X2,X3) & ~$less(X3,X1)) => $less(0,read(X0,X3))) => ! [X4 : $int] : ((~$less(X2,X4) & ~$less(X4,$sum(X1,3))) => $less(0,read(X0,X4))))),
% 3.82/1.17 inference(theory_normalization,[],[f4])).
% 3.82/1.17
% 3.82/1.17 tff(f12,plain,(
% 3.82/1.17 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 3.82/1.17 introduced(theory_axiom_146,[])).
% 3.82/1.17
% 3.82/1.17 tff(f13,plain,(
% 3.82/1.17 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 3.82/1.17 introduced(theory_axiom_147,[])).
% 3.82/1.17
% 3.82/1.17 tff(f19,plain,(
% 3.82/1.17 ? [X0 : array,X1 : $int,X2 : $int] : (? [X4 : $int] : (~$less(0,read(X0,X4)) & (~$less(X2,X4) & ~$less(X4,$sum(X1,3)))) & ! [X3 : $int] : ($less(0,read(X0,X3)) | ($less(X2,X3) | $less(X3,X1))))),
% 3.82/1.17 inference(ennf_transformation,[],[f5])).
% 3.82/1.17
% 3.82/1.17 tff(f20,plain,(
% 3.82/1.17 ? [X0 : array,X1 : $int,X2 : $int] : (? [X4 : $int] : (~$less(0,read(X0,X4)) & ~$less(X2,X4) & ~$less(X4,$sum(X1,3))) & ! [X3 : $int] : ($less(0,read(X0,X3)) | $less(X2,X3) | $less(X3,X1)))),
% 3.82/1.17 inference(flattening,[],[f19])).
% 3.82/1.17
% 3.82/1.17 tff(f21,plain,(
% 3.82/1.17 ? [X0 : array,X1 : $int,X2 : $int] : (? [X3 : $int] : (~$less(0,read(X0,X3)) & ~$less(X2,X3) & ~$less(X3,$sum(X1,3))) & ! [X4 : $int] : ($less(0,read(X0,X4)) | $less(X2,X4) | $less(X4,X1)))),
% 3.82/1.17 inference(rectify,[],[f20])).
% 3.82/1.17
% 3.82/1.17 tff(f22,plain,(
% 3.82/1.17 ? [X0 : array,X1 : $int,X2 : $int] : (? [X3 : $int] : (~$less(0,read(X0,X3)) & ~$less(X2,X3) & ~$less(X3,$sum(X1,3))) & ! [X4 : $int] : ($less(0,read(X0,X4)) | $less(X2,X4) | $less(X4,X1))) => (? [X3 : $int] : (~$less(0,read(sK0,X3)) & ~$less(sK2,X3) & ~$less(X3,$sum(sK1,3))) & ! [X4 : $int] : ($less(0,read(sK0,X4)) | $less(sK2,X4) | $less(X4,sK1)))),
% 3.82/1.17 introduced(choice_axiom,[])).
% 3.82/1.17
% 3.82/1.17 tff(f23,plain,(
% 3.82/1.17 ? [X3 : $int] : (~$less(0,read(sK0,X3)) & ~$less(sK2,X3) & ~$less(X3,$sum(sK1,3))) => (~$less(0,read(sK0,sK3)) & ~$less(sK2,sK3) & ~$less(sK3,$sum(sK1,3)))),
% 3.82/1.17 introduced(choice_axiom,[])).
% 3.82/1.17
% 3.82/1.17 tff(f24,plain,(
% 3.82/1.17 (~$less(0,read(sK0,sK3)) & ~$less(sK2,sK3) & ~$less(sK3,$sum(sK1,3))) & ! [X4 : $int] : ($less(0,read(sK0,X4)) | $less(sK2,X4) | $less(X4,sK1))),
% 3.82/1.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f21,f23,f22])).
% 3.82/1.17
% 3.82/1.17 tff(f27,plain,(
% 3.82/1.17 ( ! [X4 : $int] : ($less(0,read(sK0,X4)) | $less(sK2,X4) | $less(X4,sK1)) )),
% 3.82/1.17 inference(cnf_transformation,[],[f24])).
% 3.82/1.17
% 3.82/1.17 tff(f28,plain,(
% 3.82/1.17 ~$less(sK3,$sum(sK1,3))),
% 3.82/1.17 inference(cnf_transformation,[],[f24])).
% 3.82/1.17
% 3.82/1.17 tff(f29,plain,(
% 3.82/1.17 ~$less(sK2,sK3)),
% 3.82/1.17 inference(cnf_transformation,[],[f24])).
% 3.82/1.17
% 3.82/1.17 tff(f30,plain,(
% 3.82/1.17 ~$less(0,read(sK0,sK3))),
% 3.82/1.17 inference(cnf_transformation,[],[f24])).
% 3.82/1.17
% 3.82/1.17 cnf(c_53,plain,
% 3.82/1.17 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 3.82/1.17 inference(cnf_transformation,[],[f13])).
% 3.82/1.17
% 3.82/1.17 cnf(c_54,plain,
% 3.82/1.17 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 3.82/1.17 inference(cnf_transformation,[],[f12])).
% 3.82/1.17
% 3.82/1.17 cnf(c_63,negated_conjecture,
% 3.82/1.17 (~$less_int(0,read(sK0,sK3))),
% 3.82/1.17 inference(cnf_transformation,[],[f30])).
% 3.82/1.17
% 3.82/1.17 cnf(c_64,negated_conjecture,
% 3.82/1.17 (~$less_int(sK2,sK3)),
% 3.82/1.17 inference(cnf_transformation,[],[f29])).
% 3.82/1.17
% 3.82/1.17 cnf(c_65,negated_conjecture,
% 3.82/1.17 (~$less_int(sK3,$sum_int(sK1,3))),
% 3.82/1.17 inference(cnf_transformation,[],[f28])).
% 3.82/1.17
% 3.82/1.17 cnf(c_66,negated_conjecture,
% 3.82/1.17 ($less_int(0,read(sK0,X0_3))|$less_int(X0_3,sK1)|$less_int(sK2,X0_3)),
% 3.82/1.17 inference(cnf_transformation,[],[f27])).
% 3.82/1.17
% 3.82/1.17 cnf(c_655,plain,
% 3.82/1.17 ($less_int(sK2,sK3)|$less_int(sK3,sK1)),
% 3.82/1.17 inference(superposition,[status(thm)],[c_66,c_63])).
% 3.82/1.17
% 3.82/1.17 cnf(c_656,plain,
% 3.82/1.17 ($less_int(sK3,sK1)),
% 3.82/1.17 inference(forward_subsumption_resolution,[status(thm)],[c_655,c_64])).
% 3.82/1.17
% 3.82/1.17 cnf(c_780,plain,
% 3.82/1.17 (~$less_int(sK1,X0_3)|$less_int(sK3,X0_3)),
% 3.82/1.17 inference(superposition,[status(thm)],[c_656,c_54])).
% 3.82/1.17
% 3.82/1.17 cnf(c_1033,plain,
% 3.82/1.17 (X0_3 = sK1|$less_int(X0_3,sK1)|$less_int(sK3,X0_3)),
% 3.82/1.17 inference(superposition,[status(thm)],[c_53,c_780])).
% 3.82/1.17
% 3.82/1.17 cnf(c_1663,plain,
% 3.82/1.17 ($sum_int(sK1,3) = sK1|$less_int($sum_int(sK1,3),sK1)),
% 3.82/1.17 inference(superposition,[status(thm)],[c_1033,c_65])).
% 3.82/1.17
% 3.82/1.17 cnf(c_1733,plain,
% 3.82/1.17 ($false),
% 3.82/1.17 inference(smt_theory_normalisation,[status(thm)],[c_1663])).
% 3.82/1.17
% 3.82/1.17
% 3.82/1.17 % SZS output end CNFRefutation for theBenchmark.p
% 3.82/1.17
% 3.82/1.17
%------------------------------------------------------------------------------