TSTP Solution File: DAT062_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : DAT062_1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 02:14:19 EDT 2024
% Result : Theorem 0.44s 1.14s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : DAT062_1 : TPTP v8.1.2. Released v5.5.0.
% 0.09/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n007.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 May 2 18:36:35 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running TFA theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.44/1.14 % SZS status Started for theBenchmark.p
% 0.44/1.14 % SZS status Theorem for theBenchmark.p
% 0.44/1.14
% 0.44/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.44/1.14
% 0.44/1.14 ------ iProver source info
% 0.44/1.14
% 0.44/1.14 git: date: 2024-05-02 19:28:25 +0000
% 0.44/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.44/1.14 git: non_committed_changes: false
% 0.44/1.14
% 0.44/1.14 ------ Parsing...
% 0.44/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.44/1.14
% 0.44/1.14 ------ Preprocessing... sup_sim: 2 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
% 0.44/1.14
% 0.44/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.44/1.14
% 0.44/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.44/1.14 ------ Proving...
% 0.44/1.14 ------ Problem Properties
% 0.44/1.14
% 0.44/1.14
% 0.44/1.14 clauses 29
% 0.44/1.14 conjectures 2
% 0.44/1.14 EPR 7
% 0.44/1.14 Horn 25
% 0.44/1.14 unary 18
% 0.44/1.14 binary 7
% 0.44/1.14 lits 44
% 0.44/1.14 lits eq 19
% 0.44/1.14 fd_pure 0
% 0.44/1.14 fd_pseudo 0
% 0.44/1.14 fd_cond 0
% 0.44/1.14 fd_pseudo_cond 4
% 0.44/1.14 AC symbols 1
% 0.44/1.14
% 0.44/1.14 ------ Input Options Time Limit: Unbounded
% 0.44/1.14
% 0.44/1.14
% 0.44/1.14 ------
% 0.44/1.14 Current options:
% 0.44/1.14 ------
% 0.44/1.14
% 0.44/1.14
% 0.44/1.14
% 0.44/1.14
% 0.44/1.14 ------ Proving...
% 0.44/1.14
% 0.44/1.14
% 0.44/1.14 % SZS status Theorem for theBenchmark.p
% 0.44/1.14
% 0.44/1.14 % SZS output start CNFRefutation for theBenchmark.p
% 0.44/1.14
% 0.44/1.14 tff(f7,axiom,(
% 0.44/1.14 ! [X0 : $int,X1 : heap] : length(app(X1,X0)) = $sum(1,length(X1))),
% 0.44/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_23)).
% 0.44/1.14
% 0.44/1.14 tff(f11,axiom,(
% 0.44/1.14 ! [X0 : $int,X2 : heap,X1 : heap] : (lsls(X2,app(X1,X0)) <=> (lsls(X2,X1) | X1 = X2))),
% 0.44/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_27)).
% 0.44/1.14
% 0.44/1.14 tff(f12,conjecture,(
% 0.44/1.14 ! [X1 : heap,X0 : $int] : (! [X2 : heap] : (lsls(X2,app(X1,X0)) => $less(length(X2),length(app(X1,X0)))) | ~! [X2 : heap] : (lsls(X2,X1) => $less(length(X2),length(X1))))),
% 0.44/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_lem_1a)).
% 0.44/1.14
% 0.44/1.14 tff(f13,negated_conjecture,(
% 0.44/1.14 ~! [X1 : heap,X0 : $int] : (! [X2 : heap] : (lsls(X2,app(X1,X0)) => $less(length(X2),length(app(X1,X0)))) | ~! [X2 : heap] : (lsls(X2,X1) => $less(length(X2),length(X1))))),
% 0.44/1.14 inference(negated_conjecture,[],[f12])).
% 0.44/1.14
% 0.44/1.14 tff(f14,plain,(
% 0.44/1.14 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.44/1.14 introduced(theory_axiom_138,[])).
% 0.44/1.14
% 0.44/1.14 tff(f19,plain,(
% 0.44/1.14 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.44/1.14 introduced(theory_axiom_145,[])).
% 0.44/1.14
% 0.44/1.14 tff(f20,plain,(
% 0.44/1.14 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 0.44/1.14 introduced(theory_axiom_146,[])).
% 0.44/1.14
% 0.44/1.14 tff(f23,plain,(
% 0.44/1.14 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 0.44/1.14 introduced(theory_axiom_150,[])).
% 0.44/1.14
% 0.44/1.14 tff(f33,plain,(
% 0.44/1.14 ! [X0 : $int,X1 : heap,X2 : heap] : (lsls(X1,app(X2,X0)) <=> (lsls(X1,X2) | X1 = X2))),
% 0.44/1.14 inference(rectify,[],[f11])).
% 0.44/1.14
% 0.44/1.14 tff(f34,plain,(
% 0.44/1.14 ~! [X0 : heap,X1 : $int] : (! [X2 : heap] : (lsls(X2,app(X0,X1)) => $less(length(X2),length(app(X0,X1)))) | ~! [X3 : heap] : (lsls(X3,X0) => $less(length(X3),length(X0))))),
% 0.44/1.14 inference(rectify,[],[f13])).
% 0.44/1.14
% 0.44/1.14 tff(f37,plain,(
% 0.44/1.14 ? [X0 : heap,X1 : $int] : (? [X2 : heap] : (~$less(length(X2),length(app(X0,X1))) & lsls(X2,app(X0,X1))) & ! [X3 : heap] : ($less(length(X3),length(X0)) | ~lsls(X3,X0)))),
% 0.44/1.14 inference(ennf_transformation,[],[f34])).
% 0.44/1.14
% 0.44/1.14 tff(f40,plain,(
% 0.44/1.14 ! [X0 : $int,X1 : heap,X2 : heap] : ((lsls(X1,app(X2,X0)) | (~lsls(X1,X2) & X1 != X2)) & ((lsls(X1,X2) | X1 = X2) | ~lsls(X1,app(X2,X0))))),
% 0.44/1.14 inference(nnf_transformation,[],[f33])).
% 0.44/1.14
% 0.44/1.14 tff(f41,plain,(
% 0.44/1.14 ! [X0 : $int,X1 : heap,X2 : heap] : ((lsls(X1,app(X2,X0)) | (~lsls(X1,X2) & X1 != X2)) & (lsls(X1,X2) | X1 = X2 | ~lsls(X1,app(X2,X0))))),
% 0.44/1.14 inference(flattening,[],[f40])).
% 0.44/1.14
% 0.44/1.14 tff(f42,plain,(
% 0.44/1.14 ? [X0 : heap,X1 : $int] : (? [X2 : heap] : (~$less(length(X2),length(app(X0,X1))) & lsls(X2,app(X0,X1))) & ! [X3 : heap] : ($less(length(X3),length(X0)) | ~lsls(X3,X0))) => (? [X2 : heap] : (~$less(length(X2),length(app(sK0,sK1))) & lsls(X2,app(sK0,sK1))) & ! [X3 : heap] : ($less(length(X3),length(sK0)) | ~lsls(X3,sK0)))),
% 0.44/1.14 introduced(choice_axiom,[])).
% 0.44/1.14
% 0.44/1.14 tff(f43,plain,(
% 0.44/1.14 ? [X2 : heap] : (~$less(length(X2),length(app(sK0,sK1))) & lsls(X2,app(sK0,sK1))) => (~$less(length(sK2),length(app(sK0,sK1))) & lsls(sK2,app(sK0,sK1)))),
% 0.44/1.14 introduced(choice_axiom,[])).
% 0.44/1.14
% 0.44/1.14 tff(f44,plain,(
% 0.44/1.14 (~$less(length(sK2),length(app(sK0,sK1))) & lsls(sK2,app(sK0,sK1))) & ! [X3 : heap] : ($less(length(X3),length(sK0)) | ~lsls(X3,sK0))),
% 0.44/1.14 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f37,f43,f42])).
% 0.44/1.14
% 0.44/1.14 tff(f53,plain,(
% 0.44/1.14 ( ! [X0 : $int,X1 : heap] : (length(app(X1,X0)) = $sum(1,length(X1))) )),
% 0.44/1.14 inference(cnf_transformation,[],[f7])).
% 0.44/1.14
% 0.44/1.14 tff(f57,plain,(
% 0.44/1.14 ( ! [X2 : heap,X0 : $int,X1 : heap] : (lsls(X1,X2) | X1 = X2 | ~lsls(X1,app(X2,X0))) )),
% 0.44/1.14 inference(cnf_transformation,[],[f41])).
% 0.44/1.14
% 0.44/1.14 tff(f60,plain,(
% 0.44/1.14 ( ! [X3 : heap] : ($less(length(X3),length(sK0)) | ~lsls(X3,sK0)) )),
% 0.44/1.14 inference(cnf_transformation,[],[f44])).
% 0.44/1.14
% 0.44/1.14 tff(f61,plain,(
% 0.44/1.14 lsls(sK2,app(sK0,sK1))),
% 0.44/1.14 inference(cnf_transformation,[],[f44])).
% 0.44/1.14
% 0.44/1.14 tff(f62,plain,(
% 0.44/1.14 ~$less(length(sK2),length(app(sK0,sK1)))),
% 0.44/1.14 inference(cnf_transformation,[],[f44])).
% 0.44/1.14
% 0.44/1.14 cnf(c_51,plain,
% 0.44/1.14 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 0.44/1.14 inference(cnf_transformation,[],[f23])).
% 0.44/1.14
% 0.44/1.14 cnf(c_54,plain,
% 0.44/1.14 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 0.44/1.14 inference(cnf_transformation,[],[f20])).
% 0.44/1.14
% 0.44/1.14 cnf(c_55,plain,
% 0.44/1.14 (~$less_int(X0_3,X0_3)),
% 0.44/1.14 inference(cnf_transformation,[],[f19])).
% 0.44/1.14
% 0.44/1.14 cnf(c_60,plain,
% 0.44/1.14 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 0.44/1.14 inference(cnf_transformation,[],[f14])).
% 0.44/1.14
% 0.44/1.14 cnf(c_68,plain,
% 0.44/1.14 (length(app(X0_13,X0_3)) = $sum_int(1,length(X0_13))),
% 0.44/1.14 inference(cnf_transformation,[],[f53])).
% 0.44/1.14
% 0.44/1.14 cnf(c_74,plain,
% 0.44/1.14 (~lsls(X0_13,app(X1_13,X0_3))|X0_13 = X1_13|lsls(X0_13,X1_13)),
% 0.44/1.14 inference(cnf_transformation,[],[f57])).
% 0.44/1.14
% 0.44/1.14 cnf(c_75,negated_conjecture,
% 0.44/1.14 (~$less_int(length(sK2),length(app(sK0,sK1)))),
% 0.44/1.14 inference(cnf_transformation,[],[f62])).
% 0.44/1.14
% 0.44/1.14 cnf(c_76,negated_conjecture,
% 0.44/1.14 (lsls(sK2,app(sK0,sK1))),
% 0.44/1.14 inference(cnf_transformation,[],[f61])).
% 0.44/1.14
% 0.44/1.14 cnf(c_77,negated_conjecture,
% 0.44/1.14 (~lsls(X0_13,sK0)|$less_int(length(X0_13),length(sK0))),
% 0.44/1.14 inference(cnf_transformation,[],[f60])).
% 0.44/1.14
% 0.44/1.14 cnf(c_271,plain,
% 0.44/1.14 (~$less_int(length(sK2),$sum_int(1,length(sK0)))),
% 0.44/1.14 inference(demodulation,[status(thm)],[c_75,c_68])).
% 0.44/1.14
% 0.44/1.14 cnf(c_1089,plain,
% 0.44/1.14 ($less_int(X0_3,$sum_int(1,X1_3))|$less_int(X1_3,X0_3)),
% 0.44/1.14 inference(superposition,[status(thm)],[c_60,c_51])).
% 0.44/1.14
% 0.44/1.14 cnf(c_1124,plain,
% 0.44/1.14 ($less_int(length(sK0),length(sK2))),
% 0.44/1.14 inference(superposition,[status(thm)],[c_1089,c_271])).
% 0.44/1.14
% 0.44/1.14 cnf(c_1254,plain,
% 0.44/1.14 (~$less_int(length(sK0),X0_3)|~lsls(X0_13,sK0)|$less_int(length(X0_13),X0_3)),
% 0.44/1.14 inference(superposition,[status(thm)],[c_77,c_54])).
% 0.44/1.14
% 0.44/1.14 cnf(c_1509,plain,
% 0.44/1.14 (~lsls(X0_13,sK0)|$less_int(length(X0_13),length(sK2))),
% 0.44/1.14 inference(superposition,[status(thm)],[c_1124,c_1254])).
% 0.44/1.14
% 0.44/1.14 cnf(c_1549,plain,
% 0.44/1.14 (~lsls(sK2,sK0)),
% 0.44/1.14 inference(superposition,[status(thm)],[c_1509,c_55])).
% 0.44/1.14
% 0.44/1.14 cnf(c_1656,plain,
% 0.44/1.14 (sK0 = sK2|lsls(sK2,sK0)),
% 0.44/1.14 inference(superposition,[status(thm)],[c_76,c_74])).
% 0.44/1.14
% 0.44/1.14 cnf(c_1680,plain,
% 0.44/1.14 (sK0 = sK2),
% 0.44/1.14 inference(global_subsumption_just,[status(thm)],[c_1656,c_1549,c_1656])).
% 0.44/1.14
% 0.44/1.14 cnf(c_1689,plain,
% 0.44/1.14 ($less_int(length(sK0),length(sK0))),
% 0.44/1.14 inference(demodulation,[status(thm)],[c_1124,c_1680])).
% 0.44/1.14
% 0.44/1.14 cnf(c_1692,plain,
% 0.44/1.14 ($false),
% 0.44/1.14 inference(forward_subsumption_resolution,[status(thm)],[c_1689,c_55])).
% 0.44/1.14
% 0.44/1.14
% 0.44/1.14 % SZS output end CNFRefutation for theBenchmark.p
% 0.44/1.14
% 0.44/1.14
%------------------------------------------------------------------------------