TSTP Solution File: ARI669_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ARI669_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 : Wed Aug 30 17:41:41 EDT 2023
% Result : Theorem 0.47s 1.15s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI669_1 : TPTP v8.1.2. Released v6.3.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n006.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 : Tue Aug 29 18:28:51 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running TFA theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.47/1.15 % SZS status Started for theBenchmark.p
% 0.47/1.15 % SZS status Theorem for theBenchmark.p
% 0.47/1.15
% 0.47/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.47/1.15
% 0.47/1.15 ------ iProver source info
% 0.47/1.15
% 0.47/1.15 git: date: 2023-05-31 18:12:56 +0000
% 0.47/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.47/1.15 git: non_committed_changes: false
% 0.47/1.15 git: last_make_outside_of_git: false
% 0.47/1.15
% 0.47/1.15 ------ Parsing...
% 0.47/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.47/1.15
% 0.47/1.15 ------ 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
% 0.47/1.15
% 0.47/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.15
% 0.47/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.47/1.15 ------ Proving...
% 0.47/1.15 ------ Problem Properties
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 clauses 22
% 0.47/1.15 conjectures 1
% 0.47/1.15 EPR 4
% 0.47/1.15 Horn 18
% 0.47/1.15 unary 13
% 0.47/1.15 binary 5
% 0.47/1.15 lits 36
% 0.47/1.15 lits eq 25
% 0.47/1.15 fd_pure 0
% 0.47/1.15 fd_pseudo 0
% 0.47/1.15 fd_cond 0
% 0.47/1.15 fd_pseudo_cond 2
% 0.47/1.15 AC symbols 2
% 0.47/1.15
% 0.47/1.15 ------ Input Options Time Limit: Unbounded
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 ------
% 0.47/1.15 Current options:
% 0.47/1.15 ------
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 ------ Proving...
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 % SZS status Theorem for theBenchmark.p
% 0.47/1.15
% 0.47/1.15 % SZS output start CNFRefutation for theBenchmark.p
% 0.47/1.15
% 0.47/1.15 tff(f1,conjecture,(
% 0.47/1.15 $product($product($product(a,b),b),c) = 0 <=> (a = 0 | b = 0 | c = 0)),
% 0.47/1.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.47/1.15
% 0.47/1.15 tff(f2,negated_conjecture,(
% 0.47/1.15 ~($product($product($product(a,b),b),c) = 0 <=> (a = 0 | b = 0 | c = 0))),
% 0.47/1.15 inference(negated_conjecture,[],[f1])).
% 0.47/1.15
% 0.47/1.15 tff(f3,plain,(
% 0.47/1.15 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.47/1.15 introduced(theory_axiom_138,[])).
% 0.47/1.15
% 0.47/1.15 tff(f4,plain,(
% 0.47/1.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.47/1.15 introduced(theory_axiom_139,[])).
% 0.47/1.15
% 0.47/1.15 tff(f14,plain,(
% 0.47/1.15 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.47/1.15 introduced(theory_axiom_138,[])).
% 0.47/1.15
% 0.47/1.15 tff(f15,plain,(
% 0.47/1.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 0.47/1.15 introduced(theory_axiom_139,[])).
% 0.47/1.15
% 0.47/1.15 tff(f17,plain,(
% 0.47/1.15 ( ! [X0 : $int] : (0 = $product(X0,0)) )),
% 0.47/1.15 introduced(theory_axiom_152,[])).
% 0.47/1.15
% 0.47/1.15 tff(f19,plain,(
% 0.47/1.15 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (0 = X0 | $product(X0,X2) != X1 | $product(X0,X3) != X1 | X2 = X3) )),
% 0.47/1.15 introduced(theory_axiom_154,[])).
% 0.47/1.15
% 0.47/1.15 tff(f21,plain,(
% 0.47/1.15 $product($product($product(a,b),b),c) = 0 <~> (a = 0 | b = 0 | c = 0)),
% 0.47/1.15 inference(ennf_transformation,[],[f2])).
% 0.47/1.15
% 0.47/1.15 tff(f22,plain,(
% 0.47/1.15 ((a != 0 & b != 0 & c != 0) | $product($product($product(a,b),b),c) != 0) & ((a = 0 | b = 0 | c = 0) | $product($product($product(a,b),b),c) = 0)),
% 0.47/1.15 inference(nnf_transformation,[],[f21])).
% 0.47/1.15
% 0.47/1.15 tff(f23,plain,(
% 0.47/1.15 ((a != 0 & b != 0 & c != 0) | $product($product($product(a,b),b),c) != 0) & (a = 0 | b = 0 | c = 0 | $product($product($product(a,b),b),c) = 0)),
% 0.47/1.15 inference(flattening,[],[f22])).
% 0.47/1.15
% 0.47/1.15 tff(f24,plain,(
% 0.47/1.15 a = 0 | b = 0 | c = 0 | $product($product($product(a,b),b),c) = 0),
% 0.47/1.15 inference(cnf_transformation,[],[f23])).
% 0.47/1.15
% 0.47/1.15 tff(f25,plain,(
% 0.47/1.15 c != 0 | $product($product($product(a,b),b),c) != 0),
% 0.47/1.15 inference(cnf_transformation,[],[f23])).
% 0.47/1.15
% 0.47/1.15 tff(f26,plain,(
% 0.47/1.15 b != 0 | $product($product($product(a,b),b),c) != 0),
% 0.47/1.15 inference(cnf_transformation,[],[f23])).
% 0.47/1.15
% 0.47/1.15 tff(f27,plain,(
% 0.47/1.15 a != 0 | $product($product($product(a,b),b),c) != 0),
% 0.47/1.15 inference(cnf_transformation,[],[f23])).
% 0.47/1.15
% 0.47/1.15 tff(f28,plain,(
% 0.47/1.15 ( ! [X2 : $int,X3 : $int,X0 : $int] : (0 = X0 | $product(X0,X2) != $product(X0,X3) | X2 = X3) )),
% 0.47/1.15 inference(equality_resolution,[],[f19])).
% 0.47/1.15
% 0.47/1.15 cnf(c_50,plain,
% 0.47/1.15 ($product_int(X0_3,X1_3) != $product_int(X0_3,X2_3)|X0_3 = 0|X1_3 = X2_3),
% 0.47/1.15 inference(cnf_transformation,[],[f28])).
% 0.47/1.15
% 0.47/1.15 cnf(c_52,plain,
% 0.47/1.15 ($product_int(X0_3,0) = 0),
% 0.47/1.15 inference(cnf_transformation,[],[f17])).
% 0.47/1.15
% 0.47/1.15 cnf(c_54,plain,
% 0.47/1.15 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 0.47/1.15 inference(cnf_transformation,[],[f15])).
% 0.47/1.15
% 0.47/1.15 cnf(c_55,plain,
% 0.47/1.15 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 0.47/1.15 inference(cnf_transformation,[],[f14])).
% 0.47/1.15
% 0.47/1.15 cnf(c_65,plain,
% 0.47/1.15 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 0.47/1.15 inference(cnf_transformation,[],[f4])).
% 0.47/1.15
% 0.47/1.15 cnf(c_66,plain,
% 0.47/1.15 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 0.47/1.15 inference(cnf_transformation,[],[f3])).
% 0.47/1.15
% 0.47/1.15 cnf(c_67,negated_conjecture,
% 0.47/1.15 ($product_int($product_int($product_int(a,b),b),c) != 0|a != 0),
% 0.47/1.15 inference(cnf_transformation,[],[f27])).
% 0.47/1.15
% 0.47/1.15 cnf(c_68,negated_conjecture,
% 0.47/1.15 ($product_int($product_int($product_int(a,b),b),c) != 0|b != 0),
% 0.47/1.15 inference(cnf_transformation,[],[f26])).
% 0.47/1.15
% 0.47/1.15 cnf(c_69,negated_conjecture,
% 0.47/1.15 ($product_int($product_int($product_int(a,b),b),c) != 0|c != 0),
% 0.47/1.15 inference(cnf_transformation,[],[f25])).
% 0.47/1.15
% 0.47/1.15 cnf(c_70,negated_conjecture,
% 0.47/1.15 ($product_int($product_int($product_int(a,b),b),c) = 0|a = 0|b = 0|c = 0),
% 0.47/1.15 inference(cnf_transformation,[],[f24])).
% 0.47/1.15
% 0.47/1.15 cnf(c_87,negated_conjecture,
% 0.47/1.15 ($product_int(b,$product_int(b,$product_int(a,c))) != 0|a != 0),
% 0.47/1.15 inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 0.47/1.15
% 0.47/1.15 cnf(c_88,negated_conjecture,
% 0.47/1.15 ($product_int(b,$product_int(b,$product_int(a,c))) != 0|b != 0),
% 0.47/1.15 inference(theory_normalisation,[status(thm)],[c_68,c_54,c_55,c_65,c_66])).
% 0.47/1.15
% 0.47/1.15 cnf(c_89,negated_conjecture,
% 0.47/1.15 ($product_int(b,$product_int(b,$product_int(a,c))) != 0|c != 0),
% 0.47/1.15 inference(theory_normalisation,[status(thm)],[c_69,c_54,c_55,c_65,c_66])).
% 0.47/1.15
% 0.47/1.15 cnf(c_90,negated_conjecture,
% 0.47/1.15 ($product_int(b,$product_int(b,$product_int(a,c))) = 0|a = 0|b = 0|c = 0),
% 0.47/1.15 inference(theory_normalisation,[status(thm)],[c_70,c_54,c_55,c_65,c_66])).
% 0.47/1.15
% 0.47/1.15 cnf(c_279,plain,
% 0.47/1.15 (a != 0|$product_int(b,$product_int(b,$product_int(a,c))) != 0),
% 0.47/1.15 inference(prop_impl_just,[status(thm)],[c_87])).
% 0.47/1.15
% 0.47/1.15 cnf(c_280,plain,
% 0.47/1.15 ($product_int(b,$product_int(b,$product_int(a,c))) != 0|a != 0),
% 0.47/1.15 inference(renaming,[status(thm)],[c_279])).
% 0.47/1.15
% 0.47/1.15 cnf(c_281,plain,
% 0.47/1.15 (b != 0|$product_int(b,$product_int(b,$product_int(a,c))) != 0),
% 0.47/1.15 inference(prop_impl_just,[status(thm)],[c_88])).
% 0.47/1.15
% 0.47/1.15 cnf(c_282,plain,
% 0.47/1.15 ($product_int(b,$product_int(b,$product_int(a,c))) != 0|b != 0),
% 0.47/1.15 inference(renaming,[status(thm)],[c_281])).
% 0.47/1.15
% 0.47/1.15 cnf(c_283,plain,
% 0.47/1.15 (c != 0|$product_int(b,$product_int(b,$product_int(a,c))) != 0),
% 0.47/1.15 inference(prop_impl_just,[status(thm)],[c_89])).
% 0.47/1.15
% 0.47/1.15 cnf(c_284,plain,
% 0.47/1.15 ($product_int(b,$product_int(b,$product_int(a,c))) != 0|c != 0),
% 0.47/1.15 inference(renaming,[status(thm)],[c_283])).
% 0.47/1.15
% 0.47/1.15 cnf(c_821,plain,
% 0.47/1.15 ($product_int(0,X0_3) = 0),
% 0.47/1.15 inference(superposition,[status(thm)],[c_55,c_52])).
% 0.47/1.15
% 0.47/1.15 cnf(c_1032,plain,
% 0.47/1.15 ($product_int(0,$product_int(X0_3,X1_3)) = $product_int(0,X1_3)),
% 0.47/1.15 inference(superposition,[status(thm)],[c_821,c_54])).
% 0.47/1.15
% 0.47/1.15 cnf(c_1641,plain,
% 0.47/1.15 ($product_int(b,X0_3) != 0|$product_int(b,$product_int(a,c)) = X0_3|
% 0.47/1.15 a = 0|b = 0|c = 0),
% 0.47/1.15 inference(superposition,[status(thm)],[c_90,c_50])).
% 0.47/1.15
% 0.47/1.15 cnf(c_1807,plain,
% 0.47/1.15 ($product_int(b,$product_int(a,c)) = 0|a = 0|b = 0|c = 0),
% 0.47/1.15 inference(superposition,[status(thm)],[c_52,c_1641])).
% 0.47/1.15
% 0.47/1.15 cnf(c_2023,plain,
% 0.47/1.15 ($product_int(b,$product_int(a,c)) = $product_int(a,c)|a = 0|b = 0|c = 0),
% 0.47/1.15 inference(superposition,[status(thm)],[c_1807,c_1641])).
% 0.47/1.15
% 0.47/1.15 cnf(c_2094,plain,
% 0.47/1.15 ($product_int(a,c) = 0|a = 0|b = 0|c = 0),
% 0.47/1.15 inference(superposition,[status(thm)],[c_2023,c_90])).
% 0.47/1.15
% 0.47/1.15 cnf(c_2232,plain,
% 0.47/1.15 ($product_int(a,X0_3) != 0|X0_3 = c|a = 0|b = 0|c = 0),
% 0.47/1.15 inference(superposition,[status(thm)],[c_2094,c_50])).
% 0.47/1.15
% 0.47/1.15 cnf(c_2297,plain,
% 0.47/1.15 (a = 0|b = 0|c = 0),
% 0.47/1.15 inference(superposition,[status(thm)],[c_52,c_2232])).
% 0.47/1.15
% 0.47/1.15 cnf(c_2643,plain,
% 0.47/1.15 ($product_int(b,$product_int(b,$product_int(a,0))) != 0|c != 0|a = 0|
% 0.47/1.15 b = 0),
% 0.47/1.15 inference(superposition,[status(thm)],[c_2297,c_284])).
% 0.47/1.15
% 0.47/1.15 cnf(c_2646,plain,
% 0.47/1.15 ($product_int(0,$product_int(b,$product_int(b,a))) != 0|c != 0|a = 0|
% 0.47/1.15 b = 0),
% 0.47/1.15 inference(theory_normalisation,
% 0.47/1.15 [status(thm)],
% 0.47/1.15 [c_2643,c_65,c_66,c_54,c_55])).
% 0.47/1.15
% 0.47/1.15 cnf(c_2647,plain,
% 0.47/1.15 (c != 0|a = 0|b = 0),
% 0.47/1.15 inference(forward_subsumption_resolution,[status(thm)],[c_2646,c_821])).
% 0.47/1.15
% 0.47/1.15 cnf(c_2651,plain,
% 0.47/1.15 (a = 0|b = 0),
% 0.47/1.15 inference(backward_subsumption_resolution,[status(thm)],[c_2297,c_2647])).
% 0.47/1.15
% 0.47/1.15 cnf(c_2908,plain,
% 0.47/1.15 ($product_int(b,$product_int(b,$product_int(0,c))) != 0|a != 0|b = 0),
% 0.47/1.15 inference(superposition,[status(thm)],[c_2651,c_280])).
% 0.47/1.15
% 0.47/1.15 cnf(c_2909,plain,
% 0.47/1.15 ($product_int(0,$product_int(b,$product_int(b,c))) != 0|a != 0|b = 0),
% 0.47/1.15 inference(theory_normalisation,
% 0.47/1.15 [status(thm)],
% 0.47/1.15 [c_2908,c_65,c_66,c_54,c_55])).
% 0.47/1.15
% 0.47/1.15 cnf(c_2910,plain,
% 0.47/1.15 (a != 0|b = 0),
% 0.47/1.15 inference(forward_subsumption_resolution,[status(thm)],[c_2909,c_821])).
% 0.47/1.15
% 0.47/1.15 cnf(c_2913,plain,
% 0.47/1.15 (b = 0),
% 0.47/1.15 inference(backward_subsumption_resolution,[status(thm)],[c_2651,c_2910])).
% 0.47/1.15
% 0.47/1.15 cnf(c_2916,plain,
% 0.47/1.15 ($product_int(b,$product_int(b,$product_int(a,c))) != 0),
% 0.47/1.15 inference(backward_subsumption_resolution,[status(thm)],[c_282,c_2913])).
% 0.47/1.15
% 0.47/1.15 cnf(c_3251,plain,
% 0.47/1.15 ($product_int(0,$product_int(0,$product_int(a,c))) != 0),
% 0.47/1.15 inference(light_normalisation,[status(thm)],[c_2916,c_2913])).
% 0.47/1.15
% 0.47/1.15 cnf(c_3252,plain,
% 0.47/1.15 (0 != 0),
% 0.47/1.15 inference(demodulation,[status(thm)],[c_3251,c_821,c_1032])).
% 0.47/1.15
% 0.47/1.15 cnf(c_3253,plain,
% 0.47/1.15 ($false),
% 0.47/1.15 inference(equality_resolution_simp,[status(thm)],[c_3252])).
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 % SZS output end CNFRefutation for theBenchmark.p
% 0.47/1.15
% 0.47/1.15
%------------------------------------------------------------------------------