TSTP Solution File: DAT025_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : DAT025_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 7.88s 1.66s
% Output : CNFRefutation 7.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT025_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.17/0.34 % Computer : n020.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Thu Aug 24 14:31:30 EDT 2023
% 0.17/0.35 % 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
% 7.88/1.66 % SZS status Started for theBenchmark.p
% 7.88/1.66 % SZS status Theorem for theBenchmark.p
% 7.88/1.66
% 7.88/1.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.88/1.66
% 7.88/1.66 ------ iProver source info
% 7.88/1.66
% 7.88/1.66 git: date: 2023-05-31 18:12:56 +0000
% 7.88/1.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.88/1.66 git: non_committed_changes: false
% 7.88/1.66 git: last_make_outside_of_git: false
% 7.88/1.66
% 7.88/1.66 ------ Parsing...
% 7.88/1.66 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.88/1.66
% 7.88/1.66 ------ Preprocessing... sup_sim: 0 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
% 7.88/1.66
% 7.88/1.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.88/1.66
% 7.88/1.66 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.88/1.66 ------ Proving...
% 7.88/1.66 ------ Problem Properties
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66 clauses 26
% 7.88/1.66 conjectures 18
% 7.88/1.66 EPR 9
% 7.88/1.66 Horn 22
% 7.88/1.66 unary 14
% 7.88/1.66 binary 8
% 7.88/1.66 lits 42
% 7.88/1.66 lits eq 9
% 7.88/1.66 fd_pure 0
% 7.88/1.66 fd_pseudo 0
% 7.88/1.66 fd_cond 0
% 7.88/1.66 fd_pseudo_cond 3
% 7.88/1.66 AC symbols 1
% 7.88/1.66
% 7.88/1.66 ------ Input Options Time Limit: Unbounded
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66 ------
% 7.88/1.66 Current options:
% 7.88/1.66 ------
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66 ------ Proving...
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66 % SZS status Theorem for theBenchmark.p
% 7.88/1.66
% 7.88/1.66 % SZS output start CNFRefutation for theBenchmark.p
% 7.88/1.66
% 7.88/1.66 tff(f5,axiom,(
% 7.88/1.66 ! [X8 : $int,X9 : collection,X10 : $int] : ((X8 != X10 & in(X8,X9)) <=> in(X8,remove(X10,X9)))),
% 7.88/1.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)).
% 7.88/1.66
% 7.88/1.66 tff(f6,conjecture,(
% 7.88/1.66 ! [X0 : collection] : ((! [X2 : $int] : (in(X2,X0) <=> in(X2,remove(0,remove(1,X0)))) & ! [X1 : $int] : (in(X1,X0) => $greatereq(X1,0))) => ! [X3 : $int] : (in(X3,X0) => $greatereq(X3,2)))),
% 7.88/1.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 7.88/1.66
% 7.88/1.66 tff(f7,negated_conjecture,(
% 7.88/1.66 ~! [X0 : collection] : ((! [X2 : $int] : (in(X2,X0) <=> in(X2,remove(0,remove(1,X0)))) & ! [X1 : $int] : (in(X1,X0) => $greatereq(X1,0))) => ! [X3 : $int] : (in(X3,X0) => $greatereq(X3,2)))),
% 7.88/1.66 inference(negated_conjecture,[],[f6])).
% 7.88/1.66
% 7.88/1.66 tff(f8,plain,(
% 7.88/1.66 ~! [X0 : collection] : ((! [X2 : $int] : (in(X2,X0) <=> in(X2,remove(0,remove(1,X0)))) & ! [X1 : $int] : (in(X1,X0) => ~$less(X1,0))) => ! [X3 : $int] : (in(X3,X0) => ~$less(X3,2)))),
% 7.88/1.66 inference(theory_normalization,[],[f7])).
% 7.88/1.66
% 7.88/1.66 tff(f16,plain,(
% 7.88/1.66 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 7.88/1.66 introduced(theory_axiom_147,[])).
% 7.88/1.66
% 7.88/1.66 tff(f24,plain,(
% 7.88/1.66 ! [X0 : $int,X1 : collection,X2 : $int] : ((X0 != X2 & in(X0,X1)) <=> in(X0,remove(X2,X1)))),
% 7.88/1.66 inference(rectify,[],[f5])).
% 7.88/1.66
% 7.88/1.66 tff(f25,plain,(
% 7.88/1.66 ~! [X0 : collection] : ((! [X1 : $int] : (in(X1,X0) <=> in(X1,remove(0,remove(1,X0)))) & ! [X2 : $int] : (in(X2,X0) => ~$less(X2,0))) => ! [X3 : $int] : (in(X3,X0) => ~$less(X3,2)))),
% 7.88/1.66 inference(rectify,[],[f8])).
% 7.88/1.66
% 7.88/1.66 tff(f26,plain,(
% 7.88/1.66 ? [X0 : collection] : (? [X3 : $int] : ($less(X3,2) & in(X3,X0)) & (! [X1 : $int] : (in(X1,X0) <=> in(X1,remove(0,remove(1,X0)))) & ! [X2 : $int] : (~$less(X2,0) | ~in(X2,X0))))),
% 7.88/1.66 inference(ennf_transformation,[],[f25])).
% 7.88/1.66
% 7.88/1.66 tff(f27,plain,(
% 7.88/1.66 ? [X0 : collection] : (? [X3 : $int] : ($less(X3,2) & in(X3,X0)) & ! [X1 : $int] : (in(X1,X0) <=> in(X1,remove(0,remove(1,X0)))) & ! [X2 : $int] : (~$less(X2,0) | ~in(X2,X0)))),
% 7.88/1.66 inference(flattening,[],[f26])).
% 7.88/1.66
% 7.88/1.66 tff(f30,plain,(
% 7.88/1.66 ! [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))))),
% 7.88/1.66 inference(nnf_transformation,[],[f24])).
% 7.88/1.66
% 7.88/1.66 tff(f31,plain,(
% 7.88/1.66 ! [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)))),
% 7.88/1.66 inference(flattening,[],[f30])).
% 7.88/1.66
% 7.88/1.66 tff(f32,plain,(
% 7.88/1.66 ? [X0 : collection] : (? [X3 : $int] : ($less(X3,2) & in(X3,X0)) & ! [X1 : $int] : ((in(X1,X0) | ~in(X1,remove(0,remove(1,X0)))) & (in(X1,remove(0,remove(1,X0))) | ~in(X1,X0))) & ! [X2 : $int] : (~$less(X2,0) | ~in(X2,X0)))),
% 7.88/1.66 inference(nnf_transformation,[],[f27])).
% 7.88/1.66
% 7.88/1.66 tff(f33,plain,(
% 7.88/1.66 ? [X0 : collection] : (? [X1 : $int] : ($less(X1,2) & in(X1,X0)) & ! [X2 : $int] : ((in(X2,X0) | ~in(X2,remove(0,remove(1,X0)))) & (in(X2,remove(0,remove(1,X0))) | ~in(X2,X0))) & ! [X3 : $int] : (~$less(X3,0) | ~in(X3,X0)))),
% 7.88/1.66 inference(rectify,[],[f32])).
% 7.88/1.66
% 7.88/1.66 tff(f34,plain,(
% 7.88/1.66 ? [X0 : collection] : (? [X1 : $int] : ($less(X1,2) & in(X1,X0)) & ! [X2 : $int] : ((in(X2,X0) | ~in(X2,remove(0,remove(1,X0)))) & (in(X2,remove(0,remove(1,X0))) | ~in(X2,X0))) & ! [X3 : $int] : (~$less(X3,0) | ~in(X3,X0))) => (? [X1 : $int] : ($less(X1,2) & in(X1,sK0)) & ! [X2 : $int] : ((in(X2,sK0) | ~in(X2,remove(0,remove(1,sK0)))) & (in(X2,remove(0,remove(1,sK0))) | ~in(X2,sK0))) & ! [X3 : $int] : (~$less(X3,0) | ~in(X3,sK0)))),
% 7.88/1.66 introduced(choice_axiom,[])).
% 7.88/1.66
% 7.88/1.66 tff(f35,plain,(
% 7.88/1.66 ? [X1 : $int] : ($less(X1,2) & in(X1,sK0)) => ($less(sK1,2) & in(sK1,sK0))),
% 7.88/1.66 introduced(choice_axiom,[])).
% 7.88/1.66
% 7.88/1.66 tff(f36,plain,(
% 7.88/1.66 ($less(sK1,2) & in(sK1,sK0)) & ! [X2 : $int] : ((in(X2,sK0) | ~in(X2,remove(0,remove(1,sK0)))) & (in(X2,remove(0,remove(1,sK0))) | ~in(X2,sK0))) & ! [X3 : $int] : (~$less(X3,0) | ~in(X3,sK0))),
% 7.88/1.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f33,f35,f34])).
% 7.88/1.66
% 7.88/1.66 tff(f44,plain,(
% 7.88/1.66 ( ! [X2 : $int,X0 : $int,X1 : collection] : (in(X0,X1) | ~in(X0,remove(X2,X1))) )),
% 7.88/1.66 inference(cnf_transformation,[],[f31])).
% 7.88/1.66
% 7.88/1.66 tff(f45,plain,(
% 7.88/1.66 ( ! [X2 : $int,X0 : $int,X1 : collection] : (X0 != X2 | ~in(X0,remove(X2,X1))) )),
% 7.88/1.66 inference(cnf_transformation,[],[f31])).
% 7.88/1.66
% 7.88/1.66 tff(f46,plain,(
% 7.88/1.66 ( ! [X3 : $int] : (~$less(X3,0) | ~in(X3,sK0)) )),
% 7.88/1.66 inference(cnf_transformation,[],[f36])).
% 7.88/1.66
% 7.88/1.66 tff(f47,plain,(
% 7.88/1.66 ( ! [X2 : $int] : (in(X2,remove(0,remove(1,sK0))) | ~in(X2,sK0)) )),
% 7.88/1.66 inference(cnf_transformation,[],[f36])).
% 7.88/1.66
% 7.88/1.66 tff(f49,plain,(
% 7.88/1.66 in(sK1,sK0)),
% 7.88/1.66 inference(cnf_transformation,[],[f36])).
% 7.88/1.66
% 7.88/1.66 tff(f50,plain,(
% 7.88/1.66 $less(sK1,2)),
% 7.88/1.66 inference(cnf_transformation,[],[f36])).
% 7.88/1.66
% 7.88/1.66 tff(f52,plain,(
% 7.88/1.66 ( ! [X2 : $int,X1 : collection] : (~in(X2,remove(X2,X1))) )),
% 7.88/1.66 inference(equality_resolution,[],[f45])).
% 7.88/1.66
% 7.88/1.66 cnf(c_53,negated_conjecture,
% 7.88/1.66 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 7.88/1.66 inference(cnf_transformation,[],[f16])).
% 7.88/1.66
% 7.88/1.66 cnf(c_67,negated_conjecture,
% 7.88/1.66 (~in(X0_3,remove(X0_3,X0_13))),
% 7.88/1.66 inference(cnf_transformation,[],[f52])).
% 7.88/1.66
% 7.88/1.66 cnf(c_68,plain,
% 7.88/1.66 (~in(X0_3,remove(X1_3,X0_13))|in(X0_3,X0_13)),
% 7.88/1.66 inference(cnf_transformation,[],[f44])).
% 7.88/1.66
% 7.88/1.66 cnf(c_70,negated_conjecture,
% 7.88/1.66 ($less_int(sK1,2)),
% 7.88/1.66 inference(cnf_transformation,[],[f50])).
% 7.88/1.66
% 7.88/1.66 cnf(c_71,negated_conjecture,
% 7.88/1.66 (in(sK1,sK0)),
% 7.88/1.66 inference(cnf_transformation,[],[f49])).
% 7.88/1.66
% 7.88/1.66 cnf(c_73,negated_conjecture,
% 7.88/1.66 (~in(X0_3,sK0)|in(X0_3,remove(0,remove(1,sK0)))),
% 7.88/1.66 inference(cnf_transformation,[],[f47])).
% 7.88/1.66
% 7.88/1.66 cnf(c_74,negated_conjecture,
% 7.88/1.66 (~$less_int(X0_3,0)|~in(X0_3,sK0)),
% 7.88/1.66 inference(cnf_transformation,[],[f46])).
% 7.88/1.66
% 7.88/1.66 cnf(c_459,plain,(X0_13 = X0_13),theory(equality)).
% 7.88/1.66
% 7.88/1.66 cnf(c_465,plain,
% 7.88/1.66 (X0_3 != X1_3|X0_13 != X1_13|~in(X1_3,X1_13)|in(X0_3,X0_13)),
% 7.88/1.66 theory(equality)).
% 7.88/1.66
% 7.88/1.66 cnf(c_470,plain,(sK0 = sK0),inference(instantiation,[status(thm)],[c_459])).
% 7.88/1.66
% 7.88/1.66 cnf(c_891,plain,
% 7.88/1.66 (X0_3 != X1_3|sK0 != X0_13|~in(X1_3,X0_13)|in(X0_3,sK0)),
% 7.88/1.66 inference(instantiation,[status(thm)],[c_465])).
% 7.88/1.66
% 7.88/1.66 cnf(c_916,plain,
% 7.88/1.66 (~$less_int(sK1,0)|~in(sK1,sK0)),
% 7.88/1.66 inference(instantiation,[status(thm)],[c_74])).
% 7.88/1.66
% 7.88/1.66 cnf(c_933,plain,
% 7.88/1.66 (X0_3 != sK1|sK0 != sK0|~in(sK1,sK0)|in(X0_3,sK0)),
% 7.88/1.66 inference(instantiation,[status(thm)],[c_891])).
% 7.88/1.66
% 7.88/1.66 cnf(c_934,plain,
% 7.88/1.66 (sK0 != sK0|0 != sK1|~in(sK1,sK0)|in(0,sK0)),
% 7.88/1.66 inference(instantiation,[status(thm)],[c_933])).
% 7.88/1.66
% 7.88/1.66 cnf(c_1032,plain,
% 7.88/1.66 (~$less_int(sK1,0)),
% 7.88/1.66 inference(superposition,[status(thm)],[c_71,c_74])).
% 7.88/1.66
% 7.88/1.66 cnf(c_1084,plain,
% 7.88/1.66 (~in(0,sK0)),
% 7.88/1.66 inference(superposition,[status(thm)],[c_73,c_67])).
% 7.88/1.66
% 7.88/1.66 cnf(c_1085,plain,
% 7.88/1.66 (~in(X0_3,sK0)|in(X0_3,remove(1,sK0))),
% 7.88/1.66 inference(superposition,[status(thm)],[c_73,c_68])).
% 7.88/1.66
% 7.88/1.66 cnf(c_1147,plain,
% 7.88/1.66 (X0_3 = sK1|$less_int(X0_3,sK1)|$less_int(sK1,X0_3)),
% 7.88/1.66 inference(instantiation,[status(thm)],[c_53])).
% 7.88/1.66
% 7.88/1.66 cnf(c_1148,plain,
% 7.88/1.66 (0 = sK1|$less_int(sK1,0)|$less_int(0,sK1)),
% 7.88/1.66 inference(instantiation,[status(thm)],[c_1147])).
% 7.88/1.66
% 7.88/1.66 cnf(c_1351,plain,
% 7.88/1.66 (sK1 = 0|$less_int(0,sK1)),
% 7.88/1.66 inference(superposition,[status(thm)],[c_53,c_1032])).
% 7.88/1.66
% 7.88/1.66 cnf(c_1575,plain,
% 7.88/1.66 (~in(1,sK0)),
% 7.88/1.66 inference(superposition,[status(thm)],[c_1085,c_67])).
% 7.88/1.66
% 7.88/1.66 cnf(c_3611,plain,
% 7.88/1.66 ($less_int(0,sK1)),
% 7.88/1.66 inference(global_subsumption_just,
% 7.88/1.66 [status(thm)],
% 7.88/1.66 [c_1351,c_71,c_470,c_916,c_934,c_1148,c_1084])).
% 7.88/1.66
% 7.88/1.66 cnf(c_3696,plain,
% 7.88/1.66 ($false),
% 7.88/1.66 inference(smt_impl_just,[status(thm)],[c_3611,c_1575,c_71,c_70])).
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66 % SZS output end CNFRefutation for theBenchmark.p
% 7.88/1.66
% 7.88/1.67
%------------------------------------------------------------------------------