TSTP Solution File: ARI583_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI583_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 23.99s 3.67s
% Output : CNFRefutation 23.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI583_1 : TPTP v8.1.2. Released v5.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 01:18:18 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.47 Running TFA theorem proving
% 0.21/0.47 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
% 23.99/3.67 % SZS status Started for theBenchmark.p
% 23.99/3.67 % SZS status Theorem for theBenchmark.p
% 23.99/3.67
% 23.99/3.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 23.99/3.67
% 23.99/3.67 ------ iProver source info
% 23.99/3.67
% 23.99/3.67 git: date: 2024-05-02 19:28:25 +0000
% 23.99/3.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 23.99/3.67 git: non_committed_changes: false
% 23.99/3.67
% 23.99/3.67 ------ Parsing...
% 23.99/3.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 23.99/3.67
% 23.99/3.67 ------ 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
% 23.99/3.67
% 23.99/3.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.99/3.67
% 23.99/3.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 23.99/3.67 ------ Proving...
% 23.99/3.67 ------ Problem Properties
% 23.99/3.67
% 23.99/3.67
% 23.99/3.67 clauses 19
% 23.99/3.67 conjectures 6
% 23.99/3.67 EPR 10
% 23.99/3.67 Horn 16
% 23.99/3.67 unary 13
% 23.99/3.67 binary 4
% 23.99/3.67 lits 27
% 23.99/3.67 lits eq 7
% 23.99/3.67 fd_pure 0
% 23.99/3.67 fd_pseudo 0
% 23.99/3.67 fd_cond 0
% 23.99/3.67 fd_pseudo_cond 1
% 23.99/3.67 AC symbols 1
% 23.99/3.67
% 23.99/3.67 ------ Input Options Time Limit: Unbounded
% 23.99/3.67
% 23.99/3.67
% 23.99/3.67 ------
% 23.99/3.67 Current options:
% 23.99/3.67 ------
% 23.99/3.67
% 23.99/3.67
% 23.99/3.67
% 23.99/3.67
% 23.99/3.67 ------ Proving...
% 23.99/3.67
% 23.99/3.67
% 23.99/3.67 % SZS status Theorem for theBenchmark.p
% 23.99/3.67
% 23.99/3.67 % SZS output start CNFRefutation for theBenchmark.p
% 23.99/3.67
% 23.99/3.67 tff(f1,conjecture,(
% 23.99/3.67 ! [X0 : $int,X1 : $int,X2 : $int] : ((($less(X0,X2) | $less(X0,X1)) & $lesseq(0,X2) & $lesseq(0,X1) & $less(0,X0)) => ? [X3 : $int] : ($less(3,$sum($sum(X1,X2),X3)) & $less($sum(X0,X3),4)))),
% 23.99/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mix_quant_ineq_sys_solvable_4)).
% 23.99/3.67
% 23.99/3.67 tff(f2,negated_conjecture,(
% 23.99/3.67 ~! [X0 : $int,X1 : $int,X2 : $int] : ((($less(X0,X2) | $less(X0,X1)) & $lesseq(0,X2) & $lesseq(0,X1) & $less(0,X0)) => ? [X3 : $int] : ($less(3,$sum($sum(X1,X2),X3)) & $less($sum(X0,X3),4)))),
% 23.99/3.67 inference(negated_conjecture,[],[f1])).
% 23.99/3.67
% 23.99/3.67 tff(f3,plain,(
% 23.99/3.67 ~! [X0 : $int,X1 : $int,X2 : $int] : ((($less(X0,X2) | $less(X0,X1)) & ~$less(X2,0) & ~$less(X1,0) & $less(0,X0)) => ? [X3 : $int] : ($less(3,$sum($sum(X1,X2),X3)) & $less($sum(X0,X3),4)))),
% 23.99/3.67 inference(theory_normalization,[],[f2])).
% 23.99/3.67
% 23.99/3.67 tff(f4,plain,(
% 23.99/3.67 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 23.99/3.67 introduced(theory_axiom_138,[])).
% 23.99/3.67
% 23.99/3.67 tff(f5,plain,(
% 23.99/3.67 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 23.99/3.67 introduced(theory_axiom_139,[])).
% 23.99/3.67
% 23.99/3.67 tff(f6,plain,(
% 23.99/3.67 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 23.99/3.67 introduced(theory_axiom_140,[])).
% 23.99/3.67
% 23.99/3.67 tff(f8,plain,(
% 23.99/3.67 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 23.99/3.67 introduced(theory_axiom_143,[])).
% 23.99/3.67
% 23.99/3.67 tff(f11,plain,(
% 23.99/3.67 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 23.99/3.67 introduced(theory_axiom_147,[])).
% 23.99/3.67
% 23.99/3.67 tff(f16,plain,(
% 23.99/3.67 ? [X0 : $int,X1 : $int,X2 : $int] : (! [X3 : $int] : (~$less(3,$sum($sum(X1,X2),X3)) | ~$less($sum(X0,X3),4)) & (($less(X0,X2) | $less(X0,X1)) & ~$less(X2,0) & ~$less(X1,0) & $less(0,X0)))),
% 23.99/3.67 inference(ennf_transformation,[],[f3])).
% 23.99/3.67
% 23.99/3.67 tff(f17,plain,(
% 23.99/3.67 ? [X0 : $int,X1 : $int,X2 : $int] : (! [X3 : $int] : (~$less(3,$sum($sum(X1,X2),X3)) | ~$less($sum(X0,X3),4)) & ($less(X0,X2) | $less(X0,X1)) & ~$less(X2,0) & ~$less(X1,0) & $less(0,X0))),
% 23.99/3.67 inference(flattening,[],[f16])).
% 23.99/3.67
% 23.99/3.67 tff(f18,plain,(
% 23.99/3.67 ? [X0 : $int,X1 : $int,X2 : $int] : (! [X3 : $int] : (~$less(3,$sum($sum(X1,X2),X3)) | ~$less($sum(X0,X3),4)) & ($less(X0,X2) | $less(X0,X1)) & ~$less(X2,0) & ~$less(X1,0) & $less(0,X0)) => (! [X3 : $int] : (~$less(3,$sum($sum(sK1,sK2),X3)) | ~$less($sum(sK0,X3),4)) & ($less(sK0,sK2) | $less(sK0,sK1)) & ~$less(sK2,0) & ~$less(sK1,0) & $less(0,sK0))),
% 23.99/3.67 introduced(choice_axiom,[])).
% 23.99/3.67
% 23.99/3.67 tff(f19,plain,(
% 23.99/3.67 ! [X3 : $int] : (~$less(3,$sum($sum(sK1,sK2),X3)) | ~$less($sum(sK0,X3),4)) & ($less(sK0,sK2) | $less(sK0,sK1)) & ~$less(sK2,0) & ~$less(sK1,0) & $less(0,sK0)),
% 23.99/3.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f18])).
% 23.99/3.67
% 23.99/3.67 tff(f21,plain,(
% 23.99/3.67 ~$less(sK1,0)),
% 23.99/3.67 inference(cnf_transformation,[],[f19])).
% 23.99/3.67
% 23.99/3.67 tff(f22,plain,(
% 23.99/3.67 ~$less(sK2,0)),
% 23.99/3.67 inference(cnf_transformation,[],[f19])).
% 23.99/3.67
% 23.99/3.67 tff(f23,plain,(
% 23.99/3.67 $less(sK0,sK2) | $less(sK0,sK1)),
% 23.99/3.67 inference(cnf_transformation,[],[f19])).
% 23.99/3.67
% 23.99/3.67 tff(f24,plain,(
% 23.99/3.67 ( ! [X3 : $int] : (~$less(3,$sum($sum(sK1,sK2),X3)) | ~$less($sum(sK0,X3),4)) )),
% 23.99/3.67 inference(cnf_transformation,[],[f19])).
% 23.99/3.67
% 23.99/3.67 cnf(c_53,plain,
% 23.99/3.67 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 23.99/3.67 inference(cnf_transformation,[],[f11])).
% 23.99/3.67
% 23.99/3.67 cnf(c_56,plain,
% 23.99/3.67 ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 23.99/3.67 inference(cnf_transformation,[],[f8])).
% 23.99/3.67
% 23.99/3.67 cnf(c_58,plain,
% 23.99/3.67 ($sum_int(X0_3,0) = X0_3),
% 23.99/3.67 inference(cnf_transformation,[],[f6])).
% 23.99/3.67
% 23.99/3.67 cnf(c_59,plain,
% 23.99/3.67 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 23.99/3.67 inference(cnf_transformation,[],[f5])).
% 23.99/3.67
% 23.99/3.67 cnf(c_60,plain,
% 23.99/3.67 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 23.99/3.67 inference(cnf_transformation,[],[f4])).
% 23.99/3.67
% 23.99/3.67 cnf(c_61,negated_conjecture,
% 23.99/3.67 (~$less_int(3,$sum_int($sum_int(sK1,sK2),X0_3))|~$less_int($sum_int(sK0,X0_3),4)),
% 23.99/3.67 inference(cnf_transformation,[],[f24])).
% 23.99/3.67
% 23.99/3.67 cnf(c_62,negated_conjecture,
% 23.99/3.67 ($less_int(sK0,sK1)|$less_int(sK0,sK2)),
% 23.99/3.67 inference(cnf_transformation,[],[f23])).
% 23.99/3.67
% 23.99/3.67 cnf(c_63,negated_conjecture,
% 23.99/3.67 (~$less_int(sK2,0)),
% 23.99/3.67 inference(cnf_transformation,[],[f22])).
% 23.99/3.67
% 23.99/3.67 cnf(c_64,negated_conjecture,
% 23.99/3.67 (~$less_int(sK1,0)),
% 23.99/3.67 inference(cnf_transformation,[],[f21])).
% 23.99/3.67
% 23.99/3.67 cnf(c_68,plain,($less_int(3,4)),theory(arith)).
% 23.99/3.67
% 23.99/3.67 cnf(c_79,negated_conjecture,
% 23.99/3.67 (~$less_int(3,$sum_int(sK1,$sum_int(sK2,X0_3)))|~$less_int($sum_int(sK0,X0_3),4)),
% 23.99/3.67 inference(theory_normalisation,[status(thm)],[c_61,c_59,c_60])).
% 23.99/3.67
% 23.99/3.67 cnf(c_221,plain,
% 23.99/3.67 (~$less_int($sum_int(sK0,X0_3),4)|~$less_int(3,$sum_int(sK1,$sum_int(sK2,X0_3)))),
% 23.99/3.67 inference(prop_impl_just,[status(thm)],[c_79])).
% 23.99/3.67
% 23.99/3.67 cnf(c_222,plain,
% 23.99/3.67 (~$less_int(3,$sum_int(sK1,$sum_int(sK2,X0_3)))|~$less_int($sum_int(sK0,X0_3),4)),
% 23.99/3.67 inference(renaming,[status(thm)],[c_221])).
% 23.99/3.67
% 23.99/3.67 cnf(c_619,plain,
% 23.99/3.67 ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 23.99/3.67 inference(superposition,[status(thm)],[c_59,c_60])).
% 23.99/3.67
% 23.99/3.67 cnf(c_1224,plain,
% 23.99/3.67 (~$less_int(sK1,$sum_int(X0_3,$uminus_int(X0_3)))),
% 23.99/3.67 inference(superposition,[status(thm)],[c_56,c_64])).
% 23.99/3.67
% 23.99/3.67 cnf(c_1225,plain,
% 23.99/3.67 (~$less_int(sK2,$sum_int(X0_3,$uminus_int(X0_3)))),
% 23.99/3.67 inference(superposition,[status(thm)],[c_56,c_63])).
% 23.99/3.67
% 23.99/3.67 cnf(c_1422,plain,
% 23.99/3.67 ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = $sum_int(X1_3,0)),
% 23.99/3.67 inference(superposition,[status(thm)],[c_56,c_619])).
% 23.99/3.67
% 23.99/3.67 cnf(c_1426,plain,
% 23.99/3.67 ($sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = X1_3),
% 23.99/3.67 inference(demodulation,[status(thm)],[c_1422,c_58])).
% 23.99/3.67
% 23.99/3.67 cnf(c_1539,plain,
% 23.99/3.67 (~$less_int($sum_int(sK0,X0_3),4)|$sum_int(sK1,$sum_int(sK2,X0_3)) = 3|
% 23.99/3.67 $less_int($sum_int(sK1,$sum_int(sK2,X0_3)),3)),
% 23.99/3.67 inference(superposition,[status(thm)],[c_53,c_222])).
% 23.99/3.67
% 23.99/3.67 cnf(c_6744,plain,
% 23.99/3.67 (~$less_int(X0_3,4)|$sum_int(sK1,$sum_int(sK2,$sum_int(X0_3,$uminus_int(sK0)))) = 3|
% 23.99/3.67 $less_int($sum_int(sK1,$sum_int(sK2,$sum_int(X0_3,$uminus_int(sK0)))),3)),
% 23.99/3.67 inference(superposition,[status(thm)],[c_1426,c_1539])).
% 23.99/3.67
% 23.99/3.67 cnf(c_6827,plain,
% 23.99/3.67 (~$less_int(X0_3,4)|$sum_int($uminus_int(sK0),$sum_int(X0_3,$sum_int(sK1,sK2))) = 3|
% 23.99/3.67 $less_int($sum_int($uminus_int(sK0),$sum_int(X0_3,$sum_int(sK1,sK2))),3)),
% 23.99/3.67 inference(theory_normalisation,[status(thm)],[c_6744,c_59,c_60])).
% 23.99/3.67
% 23.99/3.67 cnf(c_44364,plain,
% 23.99/3.67 ($sum_int($uminus_int(sK0),$sum_int(3,$sum_int(sK1,sK2))) = 3|$less_int($sum_int($uminus_int(sK0),$sum_int(3,$sum_int(sK1,sK2))),3)),
% 23.99/3.67 inference(superposition,[status(thm)],[c_68,c_6827])).
% 23.99/3.67
% 23.99/3.67 cnf(c_44498,plain,
% 23.99/3.67 ($sum_int($uminus_int(sK0),$sum_int(sK1,$sum_int(sK2,3))) = 3|$less_int($sum_int($uminus_int(sK0),$sum_int(sK1,$sum_int(sK2,3))),3)),
% 23.99/3.67 inference(theory_normalisation,[status(thm)],[c_44364,c_59,c_60])).
% 23.99/3.67
% 23.99/3.67 cnf(c_44527,plain,
% 23.99/3.67 ($sum_int($product_int(-1,sK0),$sum_int(sK1,sK2)) = 0|$less_int($sum_int($product_int(-1,sK0),$sum_int(sK1,sK2)),0)),
% 23.99/3.67 inference(smt_theory_normalisation,[status(thm)],[c_44498])).
% 23.99/3.67
% 23.99/3.67 cnf(c_44541,plain,
% 23.99/3.67 ($sum_int($product_int(-1,sK0),$sum_int(sK1,sK2)) = 0|$less_int($sum_int($product_int(-1,sK0),$sum_int(sK1,sK2)),$sum_int(X0_3,$uminus_int(X0_3)))),
% 23.99/3.67 inference(superposition,[status(thm)],[c_56,c_44527])).
% 23.99/3.67
% 23.99/3.67 cnf(c_44562,plain,
% 23.99/3.67 ($sum_int(sK1,$sum_int(sK2,$product_int(-1,sK0))) = 0|$less_int($sum_int(sK1,$sum_int(sK2,$product_int(-1,sK0))),$sum_int(X0_3,$uminus_int(X0_3)))),
% 23.99/3.67 inference(theory_normalisation,[status(thm)],[c_44541,c_59,c_60])).
% 23.99/3.67
% 23.99/3.67 cnf(c_59445,plain,
% 23.99/3.67 ($false),
% 23.99/3.67 inference(smt_impl_just,[status(thm)],[c_44562,c_1225,c_1224,c_62])).
% 23.99/3.67
% 23.99/3.67
% 23.99/3.67 % SZS output end CNFRefutation for theBenchmark.p
% 23.99/3.67
% 23.99/3.67
%------------------------------------------------------------------------------