TSTP Solution File: ARI629_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI629_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 02:07:25 EDT 2024
% Result : Theorem 0.48s 1.16s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ARI629_1 : TPTP v8.1.2. Released v6.3.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n009.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 00:58:40 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.49 Running TFA theorem proving
% 0.21/0.49 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
% 0.48/1.16 % SZS status Started for theBenchmark.p
% 0.48/1.16 % SZS status Theorem for theBenchmark.p
% 0.48/1.16
% 0.48/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.48/1.16
% 0.48/1.16 ------ iProver source info
% 0.48/1.16
% 0.48/1.16 git: date: 2024-05-02 19:28:25 +0000
% 0.48/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.48/1.16 git: non_committed_changes: false
% 0.48/1.16
% 0.48/1.16 ------ Parsing...
% 0.48/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.48/1.16
% 0.48/1.16 ------ 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
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.48/1.16 ------ Proving...
% 0.48/1.16 ------ Problem Properties
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 clauses 19
% 0.48/1.16 conjectures 1
% 0.48/1.16 EPR 5
% 0.48/1.16 Horn 16
% 0.48/1.16 unary 15
% 0.48/1.16 binary 1
% 0.48/1.16 lits 26
% 0.48/1.16 lits eq 15
% 0.48/1.16 fd_pure 0
% 0.48/1.16 fd_pseudo 0
% 0.48/1.16 fd_cond 0
% 0.48/1.16 fd_pseudo_cond 2
% 0.48/1.16 AC symbols 2
% 0.48/1.16
% 0.48/1.16 ------ Input Options Time Limit: Unbounded
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 ------
% 0.48/1.16 Current options:
% 0.48/1.16 ------
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 ------ Proving...
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 % SZS status Theorem for theBenchmark.p
% 0.48/1.16
% 0.48/1.16 % SZS output start CNFRefutation for theBenchmark.p
% 0.48/1.16
% 0.48/1.16 tff(f1,axiom,(
% 0.48/1.16 $greater(x,1.0)),
% 0.48/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis)).
% 0.48/1.16
% 0.48/1.16 tff(f2,conjecture,(
% 0.48/1.16 $greatereq($product($sum(1.0,$product(y,y)),x),$sum(1.0,$product(y,y)))),
% 0.48/1.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion)).
% 0.48/1.16
% 0.48/1.16 tff(f3,negated_conjecture,(
% 0.48/1.16 ~$greatereq($product($sum(1.0,$product(y,y)),x),$sum(1.0,$product(y,y)))),
% 0.48/1.16 inference(negated_conjecture,[],[f2])).
% 0.48/1.16
% 0.48/1.16 tff(f4,plain,(
% 0.48/1.16 $less(1.0,x)),
% 0.48/1.16 inference(theory_normalization,[],[f1])).
% 0.48/1.16
% 0.48/1.16 tff(f5,plain,(
% 0.48/1.16 ~~$less($product($sum(1.0,$product(y,y)),x),$sum(1.0,$product(y,y)))),
% 0.48/1.16 inference(theory_normalization,[],[f3])).
% 0.48/1.16
% 0.48/1.16 tff(f6,plain,(
% 0.48/1.16 ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.48/1.16 introduced(theory_axiom_138,[])).
% 0.48/1.16
% 0.48/1.16 tff(f7,plain,(
% 0.48/1.16 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.48/1.16 introduced(theory_axiom_139,[])).
% 0.48/1.16
% 0.48/1.16 tff(f17,plain,(
% 0.48/1.16 ( ! [X0 : $real,X1 : $real] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.48/1.16 introduced(theory_axiom_138,[])).
% 0.48/1.16
% 0.48/1.16 tff(f18,plain,(
% 0.48/1.16 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 0.48/1.16 introduced(theory_axiom_139,[])).
% 0.48/1.16
% 0.48/1.16 tff(f19,plain,(
% 0.48/1.16 ( ! [X0 : $real] : ($product(X0,1.0) = X0) )),
% 0.48/1.16 introduced(theory_axiom_140,[])).
% 0.48/1.16
% 0.48/1.16 tff(f21,plain,(
% 0.48/1.16 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 0.48/1.16 introduced(theory_axiom_153,[])).
% 0.48/1.16
% 0.48/1.16 tff(f23,plain,(
% 0.48/1.16 $less($product($sum(1.0,$product(y,y)),x),$sum(1.0,$product(y,y)))),
% 0.48/1.16 inference(flattening,[],[f5])).
% 0.48/1.16
% 0.48/1.16 tff(f24,plain,(
% 0.48/1.16 $less(1.0,x)),
% 0.48/1.16 inference(cnf_transformation,[],[f4])).
% 0.48/1.16
% 0.48/1.16 tff(f25,plain,(
% 0.48/1.16 $less($product($sum(1.0,$product(y,y)),x),$sum(1.0,$product(y,y)))),
% 0.48/1.16 inference(cnf_transformation,[],[f23])).
% 0.48/1.16
% 0.48/1.16 cnf(c_50,plain,
% 0.48/1.16 ($sum_real($product_real(X0_2,X1_2),$product_real(X0_2,X2_2)) = $product_real(X0_2,$sum_real(X1_2,X2_2))),
% 0.48/1.16 inference(cnf_transformation,[],[f21])).
% 0.48/1.16
% 0.48/1.16 cnf(c_52,plain,
% 0.48/1.16 ($product_real(X0_2,1.0) = X0_2),
% 0.48/1.16 inference(cnf_transformation,[],[f19])).
% 0.48/1.16
% 0.48/1.16 cnf(c_53,plain,
% 0.48/1.16 ($product_real($product_real(X0_2,X1_2),X2_2) = $product_real(X0_2,$product_real(X1_2,X2_2))),
% 0.48/1.16 inference(cnf_transformation,[],[f18])).
% 0.48/1.16
% 0.48/1.16 cnf(c_54,plain,
% 0.48/1.16 ($product_real(X0_2,X1_2) = $product_real(X1_2,X0_2)),
% 0.48/1.16 inference(cnf_transformation,[],[f17])).
% 0.48/1.16
% 0.48/1.16 cnf(c_64,plain,
% 0.48/1.16 ($sum_real($sum_real(X0_2,X1_2),X2_2) = $sum_real(X0_2,$sum_real(X1_2,X2_2))),
% 0.48/1.16 inference(cnf_transformation,[],[f7])).
% 0.48/1.16
% 0.48/1.16 cnf(c_65,plain,
% 0.48/1.16 ($sum_real(X0_2,X1_2) = $sum_real(X1_2,X0_2)),
% 0.48/1.16 inference(cnf_transformation,[],[f6])).
% 0.48/1.16
% 0.48/1.16 cnf(c_66,plain,($less_real(1.0,x)),inference(cnf_transformation,[],[f24])).
% 0.48/1.16
% 0.48/1.16 cnf(c_67,negated_conjecture,
% 0.48/1.16 ($less_real($product_real($sum_real(1.0,$product_real(y,y)),x),$sum_real(1.0,$product_real(y,y)))),
% 0.48/1.16 inference(cnf_transformation,[],[f25])).
% 0.48/1.16
% 0.48/1.16 cnf(c_84,negated_conjecture,
% 0.48/1.16 ($less_real($product_real(x,$sum_real(1.0,$product_real(y,y))),$sum_real(1.0,$product_real(y,y)))),
% 0.48/1.16 inference(theory_normalisation,[status(thm)],[c_67,c_53,c_54,c_64,c_65])).
% 0.48/1.16
% 0.48/1.16 cnf(c_552,plain,
% 0.48/1.16 ($sum_real(X0_2,$product_real(X0_2,X1_2)) = $product_real(X0_2,$sum_real(1.0,X1_2))),
% 0.48/1.16 inference(superposition,[status(thm)],[c_52,c_50])).
% 0.48/1.16
% 0.48/1.16 cnf(c_568,plain,
% 0.48/1.16 ($less_real($sum_real(x,$product_real(x,$product_real(y,y))),$sum_real(1.0,$product_real(y,y)))),
% 0.48/1.16 inference(demodulation,[status(thm)],[c_84,c_552])).
% 0.48/1.16
% 0.48/1.16 cnf(c_569,plain,
% 0.48/1.16 ($less_real($sum_real(x,$product_real(y,$product_real(y,x))),$sum_real(1.0,$product_real(y,y)))),
% 0.48/1.16 inference(theory_normalisation,[status(thm)],[c_568,c_64,c_65,c_53,c_54])).
% 0.48/1.16
% 0.48/1.16 cnf(c_5521,plain,
% 0.48/1.16 ($false),
% 0.48/1.16 inference(smt_impl_just,[status(thm)],[c_569,c_66])).
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 % SZS output end CNFRefutation for theBenchmark.p
% 0.48/1.16
% 0.48/1.16
%------------------------------------------------------------------------------