TSTP Solution File: ARI579_3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI579_3 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 173.33s 22.71s
% Output : CNFRefutation 173.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ARI579_3 : TPTP v8.1.2. Released v5.1.0.
% 0.15/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 01:23:51 EDT 2024
% 0.15/0.35 % 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
% 173.33/22.71 % SZS status Started for theBenchmark.p
% 173.33/22.71 % SZS status Theorem for theBenchmark.p
% 173.33/22.71
% 173.33/22.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 173.33/22.71
% 173.33/22.71 ------ iProver source info
% 173.33/22.71
% 173.33/22.71 git: date: 2024-05-02 19:28:25 +0000
% 173.33/22.71 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 173.33/22.71 git: non_committed_changes: false
% 173.33/22.71
% 173.33/22.71 ------ Parsing...
% 173.33/22.71 ------ Clausification by vclausify_rel & Parsing by iProver...
% 173.33/22.71
% 173.33/22.71 ------ 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
% 173.33/22.71
% 173.33/22.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 173.33/22.71
% 173.33/22.71 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 173.33/22.71 ------ Proving...
% 173.33/22.71 ------ Problem Properties
% 173.33/22.71
% 173.33/22.71
% 173.33/22.71 clauses 21
% 173.33/22.71 conjectures 1
% 173.33/22.71 EPR 7
% 173.33/22.71 Horn 18
% 173.33/22.71 unary 16
% 173.33/22.71 binary 1
% 173.33/22.71 lits 30
% 173.33/22.71 lits eq 15
% 173.33/22.71 fd_pure 0
% 173.33/22.71 fd_pseudo 0
% 173.33/22.71 fd_cond 0
% 173.33/22.71 fd_pseudo_cond 2
% 173.33/22.71 AC symbols 2
% 173.33/22.71
% 173.33/22.71 ------ Input Options Time Limit: Unbounded
% 173.33/22.71
% 173.33/22.71
% 173.33/22.71 ------
% 173.33/22.71 Current options:
% 173.33/22.71 ------
% 173.33/22.71
% 173.33/22.71
% 173.33/22.71
% 173.33/22.71
% 173.33/22.71 ------ Proving...
% 173.33/22.71
% 173.33/22.71
% 173.33/22.71 % SZS status Theorem for theBenchmark.p
% 173.33/22.71
% 173.33/22.71 % SZS output start CNFRefutation for theBenchmark.p
% 173.33/22.71
% 173.33/22.71 tff(f1,conjecture,(
% 173.33/22.71 ? [X0 : $real,X1 : $real] : ($less($sum($product(3.0,X0),$product(4.0,X1)),6.0) & $less(0.0,X1) & $less(0.0,X0))),
% 173.33/22.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ineq_sys_rat_solvable)).
% 173.33/22.71
% 173.33/22.71 tff(f2,negated_conjecture,(
% 173.33/22.71 ~? [X0 : $real,X1 : $real] : ($less($sum($product(3.0,X0),$product(4.0,X1)),6.0) & $less(0.0,X1) & $less(0.0,X0))),
% 173.33/22.71 inference(negated_conjecture,[],[f1])).
% 173.33/22.71
% 173.33/22.71 tff(f8,plain,(
% 173.33/22.71 ( ! [X0 : $real] : (~$less(X0,X0)) )),
% 173.33/22.71 introduced(theory_axiom_145,[])).
% 173.33/22.71
% 173.33/22.71 tff(f9,plain,(
% 173.33/22.71 ( ! [X2 : $real,X0 : $real,X1 : $real] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 173.33/22.71 introduced(theory_axiom_146,[])).
% 173.33/22.71
% 173.33/22.71 tff(f10,plain,(
% 173.33/22.71 ( ! [X0 : $real,X1 : $real] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 173.33/22.71 introduced(theory_axiom_147,[])).
% 173.33/22.71
% 173.33/22.71 tff(f12,plain,(
% 173.33/22.71 ( ! [X0 : $real,X1 : $real] : ($less(X0,X1) | $less(X1,$sum(X0,1.0))) )),
% 173.33/22.71 introduced(theory_axiom_150,[])).
% 173.33/22.71
% 173.33/22.71 tff(f14,plain,(
% 173.33/22.71 ( ! [X0 : $real,X1 : $real] : ($product(X0,X1) = $product(X1,X0)) )),
% 173.33/22.71 introduced(theory_axiom_138,[])).
% 173.33/22.71
% 173.33/22.71 tff(f18,plain,(
% 173.33/22.71 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 173.33/22.71 introduced(theory_axiom_153,[])).
% 173.33/22.71
% 173.33/22.71 tff(f20,plain,(
% 173.33/22.71 ! [X0 : $real,X1 : $real] : (~$less($sum($product(3.0,X0),$product(4.0,X1)),6.0) | ~$less(0.0,X1) | ~$less(0.0,X0))),
% 173.33/22.71 inference(ennf_transformation,[],[f2])).
% 173.33/22.71
% 173.33/22.71 tff(f21,plain,(
% 173.33/22.71 ( ! [X0 : $real,X1 : $real] : (~$less($sum($product(3.0,X0),$product(4.0,X1)),6.0) | ~$less(0.0,X1) | ~$less(0.0,X0)) )),
% 173.33/22.71 inference(cnf_transformation,[],[f20])).
% 173.33/22.71
% 173.33/22.71 cnf(c_50,plain,
% 173.33/22.71 ($sum_real($product_real(X0_2,X1_2),$product_real(X0_2,X2_2)) = $product_real(X0_2,$sum_real(X1_2,X2_2))),
% 173.33/22.71 inference(cnf_transformation,[],[f18])).
% 173.33/22.71
% 173.33/22.71 cnf(c_54,plain,
% 173.33/22.71 ($product_real(X0_2,X1_2) = $product_real(X1_2,X0_2)),
% 173.33/22.71 inference(cnf_transformation,[],[f14])).
% 173.33/22.71
% 173.33/22.71 cnf(c_56,plain,
% 173.33/22.71 ($less_real(X0_2,$sum_real(X1_2,1.0))|$less_real(X1_2,X0_2)),
% 173.33/22.71 inference(cnf_transformation,[],[f12])).
% 173.33/22.71
% 173.33/22.71 cnf(c_58,plain,
% 173.33/22.71 (X0_2 = X1_2|$less_real(X0_2,X1_2)|$less_real(X1_2,X0_2)),
% 173.33/22.71 inference(cnf_transformation,[],[f10])).
% 173.33/22.71
% 173.33/22.71 cnf(c_59,plain,
% 173.33/22.71 (~$less_real(X0_2,X1_2)|~$less_real(X1_2,X2_2)|$less_real(X0_2,X2_2)),
% 173.33/22.71 inference(cnf_transformation,[],[f9])).
% 173.33/22.71
% 173.33/22.71 cnf(c_60,plain,
% 173.33/22.71 (~$less_real(X0_2,X0_2)),
% 173.33/22.71 inference(cnf_transformation,[],[f8])).
% 173.33/22.71
% 173.33/22.71 cnf(c_66,negated_conjecture,
% 173.33/22.71 (~$less_real($sum_real($product_real(3.0,X0_2),$product_real(4.0,X1_2)),6.0)|
% 173.33/22.71 ~$less_real(0.0,X0_2)|~$less_real(0.0,X1_2)),
% 173.33/22.71 inference(cnf_transformation,[],[f21])).
% 173.33/22.71
% 173.33/22.71 cnf(c_70,plain,($less_real(4.0,6.0)),theory(arith)).
% 173.33/22.71
% 173.33/22.71 cnf(c_512,plain,
% 173.33/22.71 (~$less_real($sum_real($product_real(X0_2,3.0),$product_real(4.0,X1_2)),6.0)|
% 173.33/22.71 ~$less_real(0.0,X0_2)|~$less_real(0.0,X1_2)),
% 173.33/22.71 inference(superposition,[status(thm)],[c_54,c_66])).
% 173.33/22.71
% 173.33/22.71 cnf(c_549,plain,
% 173.33/22.71 (~$less_real($sum_real($product_real(X0_2,3.0),$product_real(X1_2,4.0)),6.0)|
% 173.33/22.71 ~$less_real(0.0,X0_2)|~$less_real(0.0,X1_2)),
% 173.33/22.71 inference(superposition,[status(thm)],[c_54,c_512])).
% 173.33/22.71
% 173.33/22.71 cnf(c_720,plain,
% 173.33/22.71 (~$less_real(X0_2,X1_2)|$less_real(X0_2,$sum_real(X2_2,1.0))|$less_real(X2_2,X1_2)),
% 173.33/22.71 inference(superposition,[status(thm)],[c_56,c_59])).
% 173.33/22.71
% 173.33/22.71 cnf(c_2278,plain,
% 173.33/22.71 ($less_real(4.0,$sum_real(X0_2,1.0))|$less_real(X0_2,6.0)),
% 173.33/22.71 inference(superposition,[status(thm)],[c_70,c_720])).
% 173.33/22.71
% 173.33/22.71 cnf(c_16836,plain,
% 173.33/22.71 ($less_real(X0_2,6.0)|$less_real(3.0,X0_2)),
% 173.33/22.71 inference(smt_theory_normalisation,[status(thm)],[c_2278])).
% 173.33/22.71
% 173.33/22.71 cnf(c_16943,plain,
% 173.33/22.71 (~$less_real(0.0,X0_2)|~$less_real(0.0,X1_2)|$less_real(3.0,$sum_real($product_real(X0_2,3.0),$product_real(X1_2,4.0)))),
% 173.33/22.71 inference(superposition,[status(thm)],[c_16836,c_549])).
% 173.33/22.71
% 173.33/22.71 cnf(c_19450,plain,
% 173.33/22.71 (~$less_real(0.0,X0_2)|$less_real(3.0,$product_real(X0_2,$sum_real(3.0,4.0)))),
% 173.33/22.71 inference(superposition,[status(thm)],[c_50,c_16943])).
% 173.33/22.71
% 173.33/22.71 cnf(c_49074,plain,
% 173.33/22.71 (~$less_real(0.0,X0_2)|$less_real(0.428571428571,X0_2)),
% 173.33/22.71 inference(smt_theory_normalisation,[status(thm)],[c_19450])).
% 173.33/22.71
% 173.33/22.71 cnf(c_49088,plain,
% 173.33/22.71 (X0_2 = 0.0|$less_real(X0_2,0.0)|$less_real(0.428571428571,X0_2)),
% 173.33/22.71 inference(superposition,[status(thm)],[c_58,c_49074])).
% 173.33/22.71
% 173.33/22.71 cnf(c_407535,plain,
% 173.33/22.71 (0.0 = 0.428571428571|$less_real(0.428571428571,0.0)),
% 173.33/22.71 inference(superposition,[status(thm)],[c_49088,c_60])).
% 173.33/22.71
% 173.33/22.71 cnf(c_408777,plain,
% 173.33/22.71 ($false),
% 173.33/22.71 inference(smt_theory_normalisation,[status(thm)],[c_407535])).
% 173.33/22.71
% 173.33/22.71
% 173.33/22.71 % SZS output end CNFRefutation for theBenchmark.p
% 173.33/22.71
% 173.33/22.71
%------------------------------------------------------------------------------