TSTP Solution File: DAT077_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : DAT077_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 02:14:22 EDT 2024

% Result   : Theorem 1.28s 1.15s
% Output   : CNFRefutation 1.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : DAT077_1 : TPTP v8.1.2. Released v6.1.0.
% 0.04/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 18:43:14 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running TFA theorem proving
% 0.21/0.48  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
% 1.28/1.15  % SZS status Started for theBenchmark.p
% 1.28/1.15  % SZS status Theorem for theBenchmark.p
% 1.28/1.15  
% 1.28/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.28/1.15  
% 1.28/1.15  ------  iProver source info
% 1.28/1.15  
% 1.28/1.15  git: date: 2024-05-02 19:28:25 +0000
% 1.28/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.28/1.15  git: non_committed_changes: false
% 1.28/1.15  
% 1.28/1.15  ------ Parsing...
% 1.28/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.28/1.15  
% 1.28/1.15  ------ Preprocessing... sup_sim: 1  sf_s  rm: 1 0s  sf_e  pe_s 
% 1.28/1.15  
% 1.28/1.15  % SZS status Theorem for theBenchmark.p
% 1.28/1.15  
% 1.28/1.15  % SZS output start CNFRefutation for theBenchmark.p
% 1.28/1.15  
% 1.28/1.15  tff(f6,axiom,(
% 1.28/1.15    ! [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))))),
% 1.28/1.15    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted1)).
% 1.28/1.15  
% 1.28/1.15  tff(f10,conjecture,(
% 1.28/1.15    ~! [X8 : $int] : ? [X5 : $int] : ~sorted(rev(init(X5),X8),X8)),
% 1.28/1.15    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5)).
% 1.28/1.15  
% 1.28/1.15  tff(f11,negated_conjecture,(
% 1.28/1.15    ~~! [X8 : $int] : ? [X5 : $int] : ~sorted(rev(init(X5),X8),X8)),
% 1.28/1.15    inference(negated_conjecture,[],[f10])).
% 1.28/1.15  
% 1.28/1.15  tff(f13,plain,(
% 1.28/1.15    ! [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))))),
% 1.28/1.15    inference(theory_normalization,[],[f6])).
% 1.28/1.15  
% 1.28/1.15  tff(f33,plain,(
% 1.28/1.15    ! [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))))),
% 1.28/1.15    inference(rectify,[],[f13])).
% 1.28/1.15  
% 1.28/1.15  tff(f37,plain,(
% 1.28/1.15    ~~! [X0 : $int] : ? [X1 : $int] : ~sorted(rev(init(X1),X0),X0)),
% 1.28/1.15    inference(rectify,[],[f11])).
% 1.28/1.15  
% 1.28/1.15  tff(f38,plain,(
% 1.28/1.15    ! [X0 : $int] : ? [X1 : $int] : ~sorted(rev(init(X1),X0),X0)),
% 1.28/1.15    inference(flattening,[],[f37])).
% 1.28/1.15  
% 1.28/1.15  tff(f39,plain,(
% 1.28/1.15    ! [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))),
% 1.28/1.15    inference(unused_predicate_definition_removal,[],[f33])).
% 1.28/1.15  
% 1.28/1.15  tff(f43,plain,(
% 1.28/1.15    ! [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))))),
% 1.28/1.15    inference(ennf_transformation,[],[f39])).
% 1.28/1.15  
% 1.28/1.15  tff(f44,plain,(
% 1.28/1.15    ! [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)))),
% 1.28/1.15    inference(flattening,[],[f43])).
% 1.28/1.15  
% 1.28/1.15  tff(f50,plain,(
% 1.28/1.15    ! [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)))),
% 1.28/1.15    introduced(choice_axiom,[])).
% 1.28/1.15  
% 1.28/1.15  tff(f51,plain,(
% 1.28/1.15    ! [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)))),
% 1.28/1.15    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f44,f50])).
% 1.28/1.15  
% 1.28/1.15  tff(f54,plain,(
% 1.28/1.15    ! [X0 : $int] : (? [X1 : $int] : ~sorted(rev(init(X1),X0),X0) => ~sorted(rev(init(sK5(X0)),X0),X0))),
% 1.28/1.15    introduced(choice_axiom,[])).
% 1.28/1.15  
% 1.28/1.15  tff(f55,plain,(
% 1.28/1.15    ! [X0 : $int] : ~sorted(rev(init(sK5(X0)),X0),X0)),
% 1.28/1.15    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f38,f54])).
% 1.28/1.15  
% 1.28/1.15  tff(f63,plain,(
% 1.28/1.15    ( ! [X0 : array,X1 : $int] : (sorted(X0,X1) | ~$less(sK2(X0,X1),0)) )),
% 1.28/1.15    inference(cnf_transformation,[],[f51])).
% 1.28/1.15  
% 1.28/1.15  tff(f64,plain,(
% 1.28/1.15    ( ! [X0 : array,X1 : $int] : (sorted(X0,X1) | $less(sK2(X0,X1),X1)) )),
% 1.28/1.15    inference(cnf_transformation,[],[f51])).
% 1.28/1.15  
% 1.28/1.15  tff(f71,plain,(
% 1.28/1.15    ( ! [X0 : $int] : (~sorted(rev(init(sK5(X0)),X0),X0)) )),
% 1.28/1.15    inference(cnf_transformation,[],[f55])).
% 1.28/1.15  
% 1.28/1.15  cnf(c_71,plain,
% 1.28/1.15      ($less_int(sK2(X0_13,X0_3),X0_3)|sorted(X0_13,X0_3)),
% 1.28/1.15      inference(cnf_transformation,[],[f64])).
% 1.28/1.15  
% 1.28/1.15  cnf(c_72,plain,
% 1.28/1.15      (~$less_int(sK2(X0_13,X0_3),0)|sorted(X0_13,X0_3)),
% 1.28/1.15      inference(cnf_transformation,[],[f63])).
% 1.28/1.15  
% 1.28/1.15  cnf(c_76,negated_conjecture,
% 1.28/1.15      (~sorted(rev(init(sK5(X0_3)),X0_3),X0_3)),
% 1.28/1.15      inference(cnf_transformation,[],[f71])).
% 1.28/1.15  
% 1.28/1.15  cnf(c_108,plain,
% 1.28/1.15      (~$less_int(sK2(X0_13,X0_3),0)|sorted(X0_13,X0_3)),
% 1.28/1.15      inference(prop_impl_just,[status(thm)],[c_72])).
% 1.28/1.15  
% 1.28/1.15  cnf(c_110,plain,
% 1.28/1.15      ($less_int(sK2(X0_13,X0_3),X0_3)|sorted(X0_13,X0_3)),
% 1.28/1.15      inference(prop_impl_just,[status(thm)],[c_71])).
% 1.28/1.15  
% 1.28/1.15  cnf(c_405,plain,
% 1.28/1.15      (rev(init(sK5(X1_3)),X1_3) != X0_13|X0_3 != X1_3|~$less_int(sK2(X0_13,X0_3),0)),
% 1.28/1.15      inference(resolution_lifted,[status(thm)],[c_108,c_76])).
% 1.28/1.15  
% 1.28/1.15  cnf(c_406,plain,
% 1.28/1.15      (~$less_int(sK2(rev(init(sK5(X0_3)),X0_3),X0_3),0)),
% 1.28/1.15      inference(unflattening,[status(thm)],[c_405])).
% 1.28/1.15  
% 1.28/1.15  cnf(c_407,plain,
% 1.28/1.15      (~$less_int(sK2(rev(init(sK5(0)),0),0),0)),
% 1.28/1.15      inference(instantiation,[status(thm)],[c_406])).
% 1.28/1.15  
% 1.28/1.15  cnf(c_411,plain,
% 1.28/1.15      (rev(init(sK5(X1_3)),X1_3) != X0_13|X0_3 != X1_3|$less_int(sK2(X0_13,X0_3),X0_3)),
% 1.28/1.15      inference(resolution_lifted,[status(thm)],[c_110,c_76])).
% 1.28/1.15  
% 1.28/1.15  cnf(c_412,plain,
% 1.28/1.15      ($less_int(sK2(rev(init(sK5(X0_3)),X0_3),X0_3),X0_3)),
% 1.28/1.15      inference(unflattening,[status(thm)],[c_411])).
% 1.28/1.15  
% 1.28/1.15  cnf(c_413,plain,
% 1.28/1.15      ($less_int(sK2(rev(init(sK5(0)),0),0),0)),
% 1.28/1.15      inference(instantiation,[status(thm)],[c_412])).
% 1.28/1.15  
% 1.28/1.15  cnf(c_414,plain,
% 1.28/1.15      ($false),
% 1.28/1.15      inference(prop_impl_just,[status(thm)],[c_413,c_407])).
% 1.28/1.15  
% 1.28/1.15  
% 1.28/1.15  % SZS output end CNFRefutation for theBenchmark.p
% 1.28/1.15  
% 1.28/1.15  
%------------------------------------------------------------------------------