TSTP Solution File: ARI582_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI582_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 02:07:18 EDT 2024
% Result : Theorem 0.45s 1.14s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ARI582_1 : TPTP v8.1.2. Released v5.1.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 01:37:05 EDT 2024
% 0.11/0.33 % 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
% 0.45/1.14 % SZS status Started for theBenchmark.p
% 0.45/1.14 % SZS status Theorem for theBenchmark.p
% 0.45/1.14
% 0.45/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.45/1.14
% 0.45/1.14 ------ iProver source info
% 0.45/1.14
% 0.45/1.14 git: date: 2024-05-02 19:28:25 +0000
% 0.45/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.45/1.14 git: non_committed_changes: false
% 0.45/1.14
% 0.45/1.14 ------ Parsing...
% 0.45/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.45/1.14
% 0.45/1.14 ------ 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
% 0.45/1.14
% 0.45/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.45/1.14
% 0.45/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.45/1.14 ------ Proving...
% 0.45/1.14 ------ Problem Properties
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 clauses 21
% 0.45/1.14 conjectures 2
% 0.45/1.14 EPR 6
% 0.45/1.14 Horn 18
% 0.45/1.14 unary 15
% 0.45/1.14 binary 3
% 0.45/1.14 lits 30
% 0.45/1.14 lits eq 15
% 0.45/1.14 fd_pure 0
% 0.45/1.14 fd_pseudo 0
% 0.45/1.14 fd_cond 0
% 0.45/1.14 fd_pseudo_cond 2
% 0.45/1.14 AC symbols 2
% 0.45/1.14
% 0.45/1.14 ------ Input Options Time Limit: Unbounded
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 ------
% 0.45/1.14 Current options:
% 0.45/1.14 ------
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 ------ Proving...
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 % SZS status Theorem for theBenchmark.p
% 0.45/1.14
% 0.45/1.14 % SZS output start CNFRefutation for theBenchmark.p
% 0.45/1.14
% 0.45/1.14 tff(f1,conjecture,(
% 0.45/1.14 ! [X0 : $int,X1 : $int] : ($less(X0,X1) => ? [X2 : $int] : ($less(X2,$product(X1,2)) & $less($product(X0,2),X2)))),
% 0.45/1.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_3)).
% 0.45/1.14
% 0.45/1.14 tff(f2,negated_conjecture,(
% 0.45/1.14 ~! [X0 : $int,X1 : $int] : ($less(X0,X1) => ? [X2 : $int] : ($less(X2,$product(X1,2)) & $less($product(X0,2),X2)))),
% 0.45/1.14 inference(negated_conjecture,[],[f1])).
% 0.45/1.14
% 0.45/1.14 tff(f3,plain,(
% 0.45/1.14 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.45/1.14 introduced(theory_axiom_138,[])).
% 0.45/1.14
% 0.45/1.14 tff(f8,plain,(
% 0.45/1.14 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.45/1.14 introduced(theory_axiom_145,[])).
% 0.45/1.14
% 0.45/1.14 tff(f10,plain,(
% 0.45/1.14 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 0.45/1.14 introduced(theory_axiom_147,[])).
% 0.45/1.14
% 0.45/1.14 tff(f12,plain,(
% 0.45/1.14 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 0.45/1.14 introduced(theory_axiom_150,[])).
% 0.45/1.14
% 0.45/1.14 tff(f20,plain,(
% 0.45/1.14 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 0.45/1.14 introduced(theory_axiom_164,[])).
% 0.45/1.14
% 0.45/1.14 tff(f21,plain,(
% 0.45/1.14 ? [X0 : $int,X1 : $int] : (! [X2 : $int] : (~$less(X2,$product(X1,2)) | ~$less($product(X0,2),X2)) & $less(X0,X1))),
% 0.45/1.14 inference(ennf_transformation,[],[f2])).
% 0.45/1.14
% 0.45/1.14 tff(f22,plain,(
% 0.45/1.14 ? [X0 : $int,X1 : $int] : (! [X2 : $int] : (~$less(X2,$product(X1,2)) | ~$less($product(X0,2),X2)) & $less(X0,X1)) => (! [X2 : $int] : (~$less(X2,$product(sK1,2)) | ~$less($product(sK0,2),X2)) & $less(sK0,sK1))),
% 0.45/1.14 introduced(choice_axiom,[])).
% 0.45/1.14
% 0.45/1.14 tff(f23,plain,(
% 0.45/1.14 ! [X2 : $int] : (~$less(X2,$product(sK1,2)) | ~$less($product(sK0,2),X2)) & $less(sK0,sK1)),
% 0.45/1.14 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f21,f22])).
% 0.45/1.14
% 0.45/1.14 tff(f24,plain,(
% 0.45/1.14 $less(sK0,sK1)),
% 0.45/1.14 inference(cnf_transformation,[],[f23])).
% 0.45/1.14
% 0.45/1.14 tff(f25,plain,(
% 0.45/1.14 ( ! [X2 : $int] : (~$less(X2,$product(sK1,2)) | ~$less($product(sK0,2),X2)) )),
% 0.45/1.14 inference(cnf_transformation,[],[f23])).
% 0.45/1.14
% 0.45/1.14 cnf(c_49,plain,
% 0.45/1.14 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 0.45/1.14 inference(cnf_transformation,[],[f20])).
% 0.45/1.14
% 0.45/1.14 cnf(c_57,plain,
% 0.45/1.14 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 0.45/1.14 inference(cnf_transformation,[],[f12])).
% 0.45/1.14
% 0.45/1.14 cnf(c_59,plain,
% 0.45/1.14 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 0.45/1.14 inference(cnf_transformation,[],[f10])).
% 0.45/1.14
% 0.45/1.14 cnf(c_61,plain,
% 0.45/1.14 (~$less_int(X0_3,X0_3)),
% 0.45/1.14 inference(cnf_transformation,[],[f8])).
% 0.45/1.14
% 0.45/1.14 cnf(c_66,plain,
% 0.45/1.14 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 0.45/1.14 inference(cnf_transformation,[],[f3])).
% 0.45/1.14
% 0.45/1.14 cnf(c_67,negated_conjecture,
% 0.45/1.14 (~$less_int($product_int(sK0,2),X0_3)|~$less_int(X0_3,$product_int(sK1,2))),
% 0.45/1.14 inference(cnf_transformation,[],[f25])).
% 0.45/1.14
% 0.45/1.14 cnf(c_68,negated_conjecture,
% 0.45/1.14 ($less_int(sK0,sK1)),
% 0.45/1.14 inference(cnf_transformation,[],[f24])).
% 0.45/1.14
% 0.45/1.14 cnf(c_713,plain,
% 0.45/1.14 ($less_int(X0_3,$sum_int(X0_3,1))),
% 0.45/1.14 inference(superposition,[status(thm)],[c_57,c_61])).
% 0.45/1.14
% 0.45/1.14 cnf(c_733,plain,
% 0.45/1.14 ($less_int(X0_3,$sum_int(1,X0_3))),
% 0.45/1.14 inference(superposition,[status(thm)],[c_66,c_713])).
% 0.45/1.14
% 0.45/1.14 cnf(c_811,plain,
% 0.45/1.14 (~$less_int(X0_3,$sum_int(1,X1_3))|~$less_int(X1_3,X0_3)),
% 0.45/1.14 inference(superposition,[status(thm)],[c_66,c_49])).
% 0.45/1.14
% 0.45/1.14 cnf(c_836,plain,
% 0.45/1.14 (~$less_int($product_int(sK0,2),X0_3)|$product_int(sK1,2) = X0_3|
% 0.45/1.14 $less_int($product_int(sK1,2),X0_3)),
% 0.45/1.14 inference(superposition,[status(thm)],[c_59,c_67])).
% 0.45/1.14
% 0.45/1.14 cnf(c_1027,plain,
% 0.45/1.14 ($sum_int(1,$product_int(sK0,2)) = $product_int(sK1,2)|$less_int($product_int(sK1,2),$sum_int(1,$product_int(sK0,2)))),
% 0.45/1.14 inference(superposition,[status(thm)],[c_733,c_836])).
% 0.45/1.14
% 0.45/1.14 cnf(c_1962,plain,
% 0.45/1.14 (~$less_int($product_int(sK0,2),$product_int(sK1,2))|$sum_int(1,$product_int(sK0,2)) = $product_int(sK1,2)),
% 0.45/1.14 inference(superposition,[status(thm)],[c_1027,c_811])).
% 0.45/1.14
% 0.45/1.14 cnf(c_5209,plain,
% 0.45/1.14 ($false),
% 0.45/1.14 inference(smt_impl_just,[status(thm)],[c_1962,c_68])).
% 0.45/1.14
% 0.45/1.14
% 0.45/1.14 % SZS output end CNFRefutation for theBenchmark.p
% 0.45/1.14
% 0.45/1.14
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