TSTP Solution File: ARI573_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI573_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 02:07:16 EDT 2024
% Result : Theorem 0.47s 1.16s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI573_1 : TPTP v8.1.2. Released v5.1.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 01:04:48 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.49 Running TFA theorem proving
% 0.21/0.49 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
% 0.47/1.16 % SZS status Started for theBenchmark.p
% 0.47/1.16 % SZS status Theorem for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.16
% 0.47/1.16 ------ iProver source info
% 0.47/1.16
% 0.47/1.16 git: date: 2024-05-02 19:28:25 +0000
% 0.47/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.47/1.16 git: non_committed_changes: false
% 0.47/1.16
% 0.47/1.16 ------ Parsing...
% 0.47/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.47/1.16
% 0.47/1.16 ------ 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
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.47/1.16 ------ Proving...
% 0.47/1.16 ------ Problem Properties
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 clauses 23
% 0.47/1.16 conjectures 4
% 0.47/1.16 EPR 5
% 0.47/1.16 Horn 20
% 0.47/1.16 unary 18
% 0.47/1.16 binary 2
% 0.47/1.16 lits 31
% 0.47/1.16 lits eq 15
% 0.47/1.16 fd_pure 0
% 0.47/1.16 fd_pseudo 0
% 0.47/1.16 fd_cond 0
% 0.47/1.16 fd_pseudo_cond 2
% 0.47/1.16 AC symbols 2
% 0.47/1.16
% 0.47/1.16 ------ Input Options Time Limit: Unbounded
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------
% 0.47/1.16 Current options:
% 0.47/1.16 ------
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------ Proving...
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 % SZS status Theorem for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 % SZS output start CNFRefutation for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 tff(f1,conjecture,(
% 0.47/1.16 ! [X0 : $int,X1 : $int,X2 : $int] : (($lesseq(1,$sum($product(X2,2),$uminus(X0))) & $lesseq(1,$sum($product(X1,2),$uminus(X2))) & $lesseq(1,$sum($product(X0,2),$uminus(X1)))) => $lesseq(2,$sum($sum(X0,X1),X2)))),
% 0.47/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_3_ineq)).
% 0.47/1.16
% 0.47/1.16 tff(f2,negated_conjecture,(
% 0.47/1.16 ~! [X0 : $int,X1 : $int,X2 : $int] : (($lesseq(1,$sum($product(X2,2),$uminus(X0))) & $lesseq(1,$sum($product(X1,2),$uminus(X2))) & $lesseq(1,$sum($product(X0,2),$uminus(X1)))) => $lesseq(2,$sum($sum(X0,X1),X2)))),
% 0.47/1.16 inference(negated_conjecture,[],[f1])).
% 0.47/1.16
% 0.47/1.16 tff(f3,plain,(
% 0.47/1.16 ~! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($sum($product(X2,2),$uminus(X0)),1) & ~$less($sum($product(X1,2),$uminus(X2)),1) & ~$less($sum($product(X0,2),$uminus(X1)),1)) => ~$less($sum($sum(X0,X1),X2),2))),
% 0.47/1.16 inference(theory_normalization,[],[f2])).
% 0.47/1.16
% 0.47/1.16 tff(f4,plain,(
% 0.47/1.16 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.47/1.16 introduced(theory_axiom_138,[])).
% 0.47/1.16
% 0.47/1.16 tff(f5,plain,(
% 0.47/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2))) )),
% 0.47/1.16 introduced(theory_axiom_139,[])).
% 0.47/1.16
% 0.47/1.16 tff(f6,plain,(
% 0.47/1.16 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 0.47/1.16 introduced(theory_axiom_140,[])).
% 0.47/1.16
% 0.47/1.16 tff(f13,plain,(
% 0.47/1.16 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 0.47/1.16 introduced(theory_axiom_150,[])).
% 0.47/1.16
% 0.47/1.16 tff(f15,plain,(
% 0.47/1.16 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.47/1.16 introduced(theory_axiom_138,[])).
% 0.47/1.16
% 0.47/1.16 tff(f16,plain,(
% 0.47/1.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 0.47/1.16 introduced(theory_axiom_139,[])).
% 0.47/1.16
% 0.47/1.16 tff(f22,plain,(
% 0.47/1.16 ? [X0 : $int,X1 : $int,X2 : $int] : ($less($sum($sum(X0,X1),X2),2) & (~$less($sum($product(X2,2),$uminus(X0)),1) & ~$less($sum($product(X1,2),$uminus(X2)),1) & ~$less($sum($product(X0,2),$uminus(X1)),1)))),
% 0.47/1.16 inference(ennf_transformation,[],[f3])).
% 0.47/1.16
% 0.47/1.16 tff(f23,plain,(
% 0.47/1.16 ? [X0 : $int,X1 : $int,X2 : $int] : ($less($sum($sum(X0,X1),X2),2) & ~$less($sum($product(X2,2),$uminus(X0)),1) & ~$less($sum($product(X1,2),$uminus(X2)),1) & ~$less($sum($product(X0,2),$uminus(X1)),1))),
% 0.47/1.16 inference(flattening,[],[f22])).
% 0.47/1.16
% 0.47/1.16 tff(f24,plain,(
% 0.47/1.16 ? [X0 : $int,X1 : $int,X2 : $int] : ($less($sum($sum(X0,X1),X2),2) & ~$less($sum($product(X2,2),$uminus(X0)),1) & ~$less($sum($product(X1,2),$uminus(X2)),1) & ~$less($sum($product(X0,2),$uminus(X1)),1)) => ($less($sum($sum(sK0,sK1),sK2),2) & ~$less($sum($product(sK2,2),$uminus(sK0)),1) & ~$less($sum($product(sK1,2),$uminus(sK2)),1) & ~$less($sum($product(sK0,2),$uminus(sK1)),1))),
% 0.47/1.16 introduced(choice_axiom,[])).
% 0.47/1.16
% 0.47/1.16 tff(f25,plain,(
% 0.47/1.16 $less($sum($sum(sK0,sK1),sK2),2) & ~$less($sum($product(sK2,2),$uminus(sK0)),1) & ~$less($sum($product(sK1,2),$uminus(sK2)),1) & ~$less($sum($product(sK0,2),$uminus(sK1)),1)),
% 0.47/1.16 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f23,f24])).
% 0.47/1.16
% 0.47/1.16 tff(f26,plain,(
% 0.47/1.16 ~$less($sum($product(sK0,2),$uminus(sK1)),1)),
% 0.47/1.16 inference(cnf_transformation,[],[f25])).
% 0.47/1.16
% 0.47/1.16 tff(f27,plain,(
% 0.47/1.16 ~$less($sum($product(sK1,2),$uminus(sK2)),1)),
% 0.47/1.16 inference(cnf_transformation,[],[f25])).
% 0.47/1.16
% 0.47/1.16 tff(f28,plain,(
% 0.47/1.16 ~$less($sum($product(sK2,2),$uminus(sK0)),1)),
% 0.47/1.16 inference(cnf_transformation,[],[f25])).
% 0.47/1.16
% 0.47/1.16 tff(f29,plain,(
% 0.47/1.16 $less($sum($sum(sK0,sK1),sK2),2)),
% 0.47/1.16 inference(cnf_transformation,[],[f25])).
% 0.47/1.16
% 0.47/1.16 cnf(c_54,plain,
% 0.47/1.16 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 0.47/1.16 inference(cnf_transformation,[],[f16])).
% 0.47/1.16
% 0.47/1.16 cnf(c_55,plain,
% 0.47/1.16 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 0.47/1.16 inference(cnf_transformation,[],[f15])).
% 0.47/1.16
% 0.47/1.16 cnf(c_57,plain,
% 0.47/1.16 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 0.47/1.16 inference(cnf_transformation,[],[f13])).
% 0.47/1.16
% 0.47/1.16 cnf(c_64,plain,
% 0.47/1.16 ($sum_int(X0_3,0) = X0_3),
% 0.47/1.16 inference(cnf_transformation,[],[f6])).
% 0.47/1.16
% 0.47/1.16 cnf(c_65,plain,
% 0.47/1.16 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 0.47/1.16 inference(cnf_transformation,[],[f5])).
% 0.47/1.16
% 0.47/1.16 cnf(c_66,plain,
% 0.47/1.16 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 0.47/1.16 inference(cnf_transformation,[],[f4])).
% 0.47/1.16
% 0.47/1.16 cnf(c_67,negated_conjecture,
% 0.47/1.16 ($less_int($sum_int($sum_int(sK0,sK1),sK2),2)),
% 0.47/1.16 inference(cnf_transformation,[],[f29])).
% 0.47/1.16
% 0.47/1.16 cnf(c_68,negated_conjecture,
% 0.47/1.16 (~$less_int($sum_int($product_int(sK2,2),$uminus_int(sK0)),1)),
% 0.47/1.16 inference(cnf_transformation,[],[f28])).
% 0.47/1.16
% 0.47/1.16 cnf(c_69,negated_conjecture,
% 0.47/1.16 (~$less_int($sum_int($product_int(sK1,2),$uminus_int(sK2)),1)),
% 0.47/1.16 inference(cnf_transformation,[],[f27])).
% 0.47/1.16
% 0.47/1.16 cnf(c_70,negated_conjecture,
% 0.47/1.16 (~$less_int($sum_int($product_int(sK0,2),$uminus_int(sK1)),1)),
% 0.47/1.16 inference(cnf_transformation,[],[f26])).
% 0.47/1.16
% 0.47/1.16 cnf(c_88,negated_conjecture,
% 0.47/1.16 ($less_int($sum_int(sK0,$sum_int(sK1,sK2)),2)),
% 0.47/1.16 inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 0.47/1.16
% 0.47/1.16 cnf(c_89,negated_conjecture,
% 0.47/1.16 (~$less_int($sum_int($uminus_int(sK0),$product_int(2,sK2)),1)),
% 0.47/1.16 inference(theory_normalisation,[status(thm)],[c_68,c_54,c_55,c_65,c_66])).
% 0.47/1.16
% 0.47/1.16 cnf(c_90,negated_conjecture,
% 0.47/1.16 (~$less_int($sum_int($uminus_int(sK2),$product_int(2,sK1)),1)),
% 0.47/1.16 inference(theory_normalisation,[status(thm)],[c_69,c_54,c_55,c_65,c_66])).
% 0.47/1.16
% 0.47/1.16 cnf(c_91,negated_conjecture,
% 0.47/1.16 (~$less_int($sum_int($uminus_int(sK1),$product_int(2,sK0)),1)),
% 0.47/1.16 inference(theory_normalisation,[status(thm)],[c_70,c_54,c_55,c_65,c_66])).
% 0.47/1.16
% 0.47/1.16 cnf(c_724,plain,
% 0.47/1.16 ($sum_int(0,X0_3) = X0_3),
% 0.47/1.16 inference(superposition,[status(thm)],[c_66,c_64])).
% 0.47/1.16
% 0.47/1.16 cnf(c_736,plain,
% 0.47/1.16 ($less_int(X0_3,1)|$less_int(0,X0_3)),
% 0.47/1.16 inference(superposition,[status(thm)],[c_724,c_57])).
% 0.47/1.16
% 0.47/1.16 cnf(c_750,plain,
% 0.47/1.16 ($less_int(0,$sum_int($uminus_int(sK2),$product_int(2,sK1)))),
% 0.47/1.16 inference(superposition,[status(thm)],[c_736,c_90])).
% 0.47/1.16
% 0.47/1.16 cnf(c_751,plain,
% 0.47/1.16 ($less_int(0,$sum_int($uminus_int(sK1),$product_int(2,sK0)))),
% 0.47/1.16 inference(superposition,[status(thm)],[c_736,c_91])).
% 0.47/1.16
% 0.47/1.16 cnf(c_4861,plain,
% 0.47/1.16 ($false),
% 0.47/1.16 inference(smt_impl_just,[status(thm)],[c_751,c_750,c_89,c_88])).
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 % SZS output end CNFRefutation for theBenchmark.p
% 0.47/1.16
% 0.47/1.16
%------------------------------------------------------------------------------