TSTP Solution File: ARI122_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI122_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 02:06:20 EDT 2024
% Result : Theorem 2.84s 1.20s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ARI122_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 01:43:17 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running TFA theorem proving
% 0.20/0.48 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
% 2.84/1.20 % SZS status Started for theBenchmark.p
% 2.84/1.20 % SZS status Theorem for theBenchmark.p
% 2.84/1.20
% 2.84/1.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.84/1.20
% 2.84/1.20 ------ iProver source info
% 2.84/1.20
% 2.84/1.20 git: date: 2024-05-02 19:28:25 +0000
% 2.84/1.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.84/1.20 git: non_committed_changes: false
% 2.84/1.20
% 2.84/1.20 ------ Parsing...
% 2.84/1.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.84/1.20
% 2.84/1.20 ------ Preprocessing... sup_sim: 5 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
% 2.84/1.20
% 2.84/1.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.84/1.20
% 2.84/1.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.84/1.20 ------ Proving...
% 2.84/1.20 ------ Problem Properties
% 2.84/1.20
% 2.84/1.20
% 2.84/1.20 clauses 26
% 2.84/1.20 conjectures 2
% 2.84/1.20 EPR 10
% 2.84/1.20 Horn 23
% 2.84/1.20 unary 21
% 2.84/1.20 binary 2
% 2.84/1.20 lits 34
% 2.84/1.20 lits eq 20
% 2.84/1.20 fd_pure 0
% 2.84/1.20 fd_pseudo 0
% 2.84/1.20 fd_cond 0
% 2.84/1.20 fd_pseudo_cond 2
% 2.84/1.20 AC symbols 2
% 2.84/1.20
% 2.84/1.20 ------ Input Options Time Limit: Unbounded
% 2.84/1.20
% 2.84/1.20
% 2.84/1.20 ------
% 2.84/1.20 Current options:
% 2.84/1.20 ------
% 2.84/1.20
% 2.84/1.20
% 2.84/1.20
% 2.84/1.20
% 2.84/1.20 ------ Proving...
% 2.84/1.20
% 2.84/1.20
% 2.84/1.20 % SZS status Theorem for theBenchmark.p
% 2.84/1.20
% 2.84/1.20 % SZS output start CNFRefutation for theBenchmark.p
% 2.84/1.20
% 2.84/1.20 tff(f1,conjecture,(
% 2.84/1.20 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : (($product(2,X2) = X3 & $product(3,6) = X2 & $product(X0,6) = X1 & $product(2,3) = X0) => X1 = X3)),
% 2.84/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_product)).
% 2.84/1.20
% 2.84/1.20 tff(f2,negated_conjecture,(
% 2.84/1.20 ~! [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : (($product(2,X2) = X3 & $product(3,6) = X2 & $product(X0,6) = X1 & $product(2,3) = X0) => X1 = X3)),
% 2.84/1.20 inference(negated_conjecture,[],[f1])).
% 2.84/1.20
% 2.84/1.20 tff(f3,plain,(
% 2.84/1.20 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 2.84/1.20 introduced(theory_axiom_138,[])).
% 2.84/1.20
% 2.84/1.20 tff(f4,plain,(
% 2.84/1.20 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 2.84/1.20 introduced(theory_axiom_139,[])).
% 2.84/1.20
% 2.84/1.20 tff(f14,plain,(
% 2.84/1.20 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 2.84/1.20 introduced(theory_axiom_138,[])).
% 2.84/1.20
% 2.84/1.20 tff(f15,plain,(
% 2.84/1.20 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 2.84/1.20 introduced(theory_axiom_139,[])).
% 2.84/1.20
% 2.84/1.20 tff(f18,plain,(
% 2.84/1.20 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 2.84/1.20 introduced(theory_axiom_153,[])).
% 2.84/1.20
% 2.84/1.20 tff(f21,plain,(
% 2.84/1.20 ? [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : (X1 != X3 & ($product(2,X2) = X3 & $product(3,6) = X2 & $product(X0,6) = X1 & $product(2,3) = X0))),
% 2.84/1.20 inference(ennf_transformation,[],[f2])).
% 2.84/1.20
% 2.84/1.20 tff(f22,plain,(
% 2.84/1.20 ? [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : (X1 != X3 & $product(2,X2) = X3 & $product(3,6) = X2 & $product(X0,6) = X1 & $product(2,3) = X0)),
% 2.84/1.20 inference(flattening,[],[f21])).
% 2.84/1.20
% 2.84/1.20 tff(f23,plain,(
% 2.84/1.20 ? [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : (X1 != X3 & $product(2,X2) = X3 & $product(3,6) = X2 & $product(X0,6) = X1 & $product(2,3) = X0) => (sK1 != sK3 & sK3 = $product(2,sK2) & $product(3,6) = sK2 & sK1 = $product(sK0,6) & $product(2,3) = sK0)),
% 2.84/1.20 introduced(choice_axiom,[])).
% 2.84/1.20
% 2.84/1.20 tff(f24,plain,(
% 2.84/1.20 sK1 != sK3 & sK3 = $product(2,sK2) & $product(3,6) = sK2 & sK1 = $product(sK0,6) & $product(2,3) = sK0),
% 2.84/1.20 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f22,f23])).
% 2.84/1.20
% 2.84/1.20 tff(f25,plain,(
% 2.84/1.20 $product(2,3) = sK0),
% 2.84/1.20 inference(cnf_transformation,[],[f24])).
% 2.84/1.20
% 2.84/1.20 tff(f26,plain,(
% 2.84/1.20 sK1 = $product(sK0,6)),
% 2.84/1.20 inference(cnf_transformation,[],[f24])).
% 2.84/1.20
% 2.84/1.20 tff(f27,plain,(
% 2.84/1.20 $product(3,6) = sK2),
% 2.84/1.20 inference(cnf_transformation,[],[f24])).
% 2.84/1.20
% 2.84/1.20 tff(f28,plain,(
% 2.84/1.20 sK3 = $product(2,sK2)),
% 2.84/1.20 inference(cnf_transformation,[],[f24])).
% 2.84/1.20
% 2.84/1.20 tff(f29,plain,(
% 2.84/1.20 sK1 != sK3),
% 2.84/1.20 inference(cnf_transformation,[],[f24])).
% 2.84/1.20
% 2.84/1.20 cnf(c_51,plain,
% 2.84/1.20 ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 2.84/1.20 inference(cnf_transformation,[],[f18])).
% 2.84/1.20
% 2.84/1.20 cnf(c_54,plain,
% 2.84/1.20 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 2.84/1.20 inference(cnf_transformation,[],[f15])).
% 2.84/1.20
% 2.84/1.20 cnf(c_55,plain,
% 2.84/1.20 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 2.84/1.20 inference(cnf_transformation,[],[f14])).
% 2.84/1.20
% 2.84/1.20 cnf(c_65,plain,
% 2.84/1.20 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 2.84/1.20 inference(cnf_transformation,[],[f4])).
% 2.84/1.20
% 2.84/1.20 cnf(c_66,plain,
% 2.84/1.20 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 2.84/1.20 inference(cnf_transformation,[],[f3])).
% 2.84/1.20
% 2.84/1.20 cnf(c_67,negated_conjecture,
% 2.84/1.20 (sK1 != sK3),
% 2.84/1.20 inference(cnf_transformation,[],[f29])).
% 2.84/1.20
% 2.84/1.20 cnf(c_68,negated_conjecture,
% 2.84/1.20 ($product_int(2,sK2) = sK3),
% 2.84/1.20 inference(cnf_transformation,[],[f28])).
% 2.84/1.20
% 2.84/1.20 cnf(c_69,negated_conjecture,
% 2.84/1.20 ($product_int(3,6) = sK2),
% 2.84/1.20 inference(cnf_transformation,[],[f27])).
% 2.84/1.20
% 2.84/1.20 cnf(c_70,negated_conjecture,
% 2.84/1.20 ($product_int(sK0,6) = sK1),
% 2.84/1.20 inference(cnf_transformation,[],[f26])).
% 2.84/1.20
% 2.84/1.20 cnf(c_71,negated_conjecture,
% 2.84/1.20 ($product_int(2,3) = sK0),
% 2.84/1.20 inference(cnf_transformation,[],[f25])).
% 2.84/1.20
% 2.84/1.20 cnf(c_91,negated_conjecture,
% 2.84/1.20 ($product_int(sK2,2) = sK3),
% 2.84/1.20 inference(theory_normalisation,[status(thm)],[c_68,c_54,c_55,c_65,c_66])).
% 2.84/1.20
% 2.84/1.20 cnf(c_208,plain,
% 2.84/1.20 (sK0 = 6),
% 2.84/1.20 inference(smt_theory_normalisation,[status(thm)],[c_71])).
% 2.84/1.20
% 2.84/1.20 cnf(c_210,plain,
% 2.84/1.20 ($product_int(sK0,sK0) = sK1),
% 2.84/1.20 inference(light_normalisation,[status(thm)],[c_70,c_208])).
% 2.84/1.20
% 2.84/1.20 cnf(c_211,plain,
% 2.84/1.20 (sK2 = 18),
% 2.84/1.20 inference(smt_theory_normalisation,[status(thm)],[c_69])).
% 2.84/1.20
% 2.84/1.20 cnf(c_700,plain,
% 2.84/1.20 ($product_int(X0_3,$product_int(X1_3,X2_3)) = $product_int(X1_3,$product_int(X0_3,X2_3))),
% 2.84/1.20 inference(superposition,[status(thm)],[c_54,c_55])).
% 2.84/1.20
% 2.84/1.20 cnf(c_780,plain,
% 2.84/1.20 ($product_int(sK2,$product_int(X0_3,2)) = $product_int(X0_3,sK3)),
% 2.84/1.20 inference(superposition,[status(thm)],[c_91,c_700])).
% 2.84/1.20
% 2.84/1.20 cnf(c_1150,plain,
% 2.84/1.20 ($sum_int(sK3,$product_int(sK2,X0_3)) = $product_int(sK2,$sum_int(2,X0_3))),
% 2.84/1.20 inference(superposition,[status(thm)],[c_91,c_51])).
% 2.84/1.20
% 2.84/1.20 cnf(c_1151,plain,
% 2.84/1.20 ($sum_int(sK1,$product_int(sK0,X0_3)) = $product_int(sK0,$sum_int(sK0,X0_3))),
% 2.84/1.20 inference(superposition,[status(thm)],[c_210,c_51])).
% 2.84/1.20
% 2.84/1.20 cnf(c_1155,plain,
% 2.84/1.20 ($sum_int($product_int(X0_3,sK3),$product_int(sK2,X1_3)) = $product_int(sK2,$sum_int($product_int(X0_3,2),X1_3))),
% 2.84/1.20 inference(superposition,[status(thm)],[c_780,c_51])).
% 2.84/1.20
% 2.84/1.20 cnf(c_1936,plain,
% 2.84/1.20 ($product_int(sK0,$sum_int(sK0,sK0)) = $sum_int(sK1,sK1)),
% 2.84/1.20 inference(superposition,[status(thm)],[c_210,c_1151])).
% 2.84/1.20
% 2.84/1.20 cnf(c_1968,plain,
% 2.84/1.20 ($sum_int($product_int(sK0,X0_3),$sum_int(sK1,sK1)) = $product_int(sK0,$sum_int(X0_3,$sum_int(sK0,sK0)))),
% 2.84/1.20 inference(superposition,[status(thm)],[c_1936,c_51])).
% 2.84/1.20
% 2.84/1.20 cnf(c_1974,plain,
% 2.84/1.20 ($sum_int(sK1,$sum_int(sK1,$product_int(sK0,X0_3))) = $product_int(sK0,$sum_int(X0_3,$sum_int(sK0,sK0)))),
% 2.84/1.20 inference(theory_normalisation,
% 2.84/1.20 [status(thm)],
% 2.84/1.20 [c_1968,c_65,c_66,c_54,c_55])).
% 2.84/1.20
% 2.84/1.20 cnf(c_1975,plain,
% 2.84/1.20 ($sum_int(sK1,$product_int(sK0,$sum_int(sK0,X0_3))) = $product_int(sK0,$sum_int(X0_3,$sum_int(sK0,sK0)))),
% 2.84/1.20 inference(light_normalisation,[status(thm)],[c_1974,c_1151])).
% 2.84/1.20
% 2.84/1.20 cnf(c_2938,plain,
% 2.84/1.20 ($product_int(sK2,$sum_int($product_int(X0_3,2),$product_int(X1_3,2))) = $sum_int($product_int(X0_3,sK3),$product_int(X1_3,sK3))),
% 2.84/1.20 inference(superposition,[status(thm)],[c_780,c_1155])).
% 2.84/1.20
% 2.84/1.20 cnf(c_4203,plain,
% 2.84/1.20 ($sum_int($sum_int($product_int(X0_3,sK3),$product_int(X1_3,sK3)),$product_int(sK2,X2_3)) = $product_int(sK2,$sum_int($sum_int($product_int(X0_3,2),$product_int(X1_3,2)),X2_3))),
% 2.84/1.20 inference(superposition,[status(thm)],[c_2938,c_51])).
% 2.84/1.20
% 2.84/1.20 cnf(c_4213,plain,
% 2.84/1.20 ($product_int(sK2,$sum_int(2,$sum_int($product_int(X0_3,2),$product_int(X1_3,2)))) = $sum_int(sK3,$sum_int($product_int(X0_3,sK3),$product_int(X1_3,sK3)))),
% 2.84/1.20 inference(superposition,[status(thm)],[c_2938,c_1150])).
% 2.84/1.20
% 2.84/1.20 cnf(c_4228,plain,
% 2.84/1.20 ($sum_int($product_int(X0_3,sK3),$sum_int($product_int(X1_3,sK3),$product_int(sK2,X2_3))) = $product_int(sK2,$sum_int($product_int(X0_3,2),$sum_int($product_int(X1_3,2),X2_3)))),
% 2.84/1.20 inference(theory_normalisation,
% 2.84/1.20 [status(thm)],
% 2.84/1.20 [c_4203,c_65,c_66,c_54,c_55])).
% 2.84/1.20
% 2.84/1.20 cnf(c_4383,plain,
% 2.84/1.20 ($false),
% 2.84/1.20 inference(smt_impl_just,
% 2.84/1.20 [status(thm)],
% 2.84/1.20 [c_4228,c_4213,c_1975,c_211,c_208,c_67])).
% 2.84/1.20
% 2.84/1.20
% 2.84/1.20 % SZS output end CNFRefutation for theBenchmark.p
% 2.84/1.20
% 2.84/1.20
%------------------------------------------------------------------------------