TSTP Solution File: ARI178_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI178_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 02:06:24 EDT 2024
% Result : Theorem 2.85s 1.19s
% Output : CNFRefutation 2.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI178_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 00:55:47 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running TFA theorem proving
% 0.21/0.48 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
% 2.85/1.19 % SZS status Started for theBenchmark.p
% 2.85/1.19 % SZS status Theorem for theBenchmark.p
% 2.85/1.19
% 2.85/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.85/1.19
% 2.85/1.19 ------ iProver source info
% 2.85/1.19
% 2.85/1.19 git: date: 2024-05-02 19:28:25 +0000
% 2.85/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.85/1.19 git: non_committed_changes: false
% 2.85/1.19
% 2.85/1.19 ------ Parsing...
% 2.85/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.85/1.19
% 2.85/1.19 ------ Preprocessing... sup_sim: 3 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
% 2.85/1.19
% 2.85/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.85/1.19
% 2.85/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.85/1.19 ------ Proving...
% 2.85/1.19 ------ Problem Properties
% 2.85/1.19
% 2.85/1.19
% 2.85/1.19 clauses 22
% 2.85/1.19 conjectures 0
% 2.85/1.19 EPR 6
% 2.85/1.19 Horn 19
% 2.85/1.19 unary 17
% 2.85/1.19 binary 2
% 2.85/1.19 lits 30
% 2.85/1.19 lits eq 17
% 2.85/1.19 fd_pure 0
% 2.85/1.19 fd_pseudo 0
% 2.85/1.19 fd_cond 0
% 2.85/1.19 fd_pseudo_cond 2
% 2.85/1.19 AC symbols 2
% 2.85/1.19
% 2.85/1.19 ------ Input Options Time Limit: Unbounded
% 2.85/1.19
% 2.85/1.19
% 2.85/1.19 ------
% 2.85/1.19 Current options:
% 2.85/1.19 ------
% 2.85/1.19
% 2.85/1.19
% 2.85/1.19
% 2.85/1.19
% 2.85/1.19 ------ Proving...
% 2.85/1.19
% 2.85/1.19
% 2.85/1.19 % SZS status Theorem for theBenchmark.p
% 2.85/1.19
% 2.85/1.19 % SZS output start CNFRefutation for theBenchmark.p
% 2.85/1.19
% 2.85/1.19 tff(f1,conjecture,(
% 2.85/1.19 ! [X0 : $int,X1 : $int,X2 : $int] : ((10 = $sum($sum(X0,$product(2,X1)),X2) & $sum($sum($product(2,X0),X1),X2) = 10) => 0 != X2)),
% 2.85/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 2.85/1.19
% 2.85/1.19 tff(f2,negated_conjecture,(
% 2.85/1.19 ~! [X0 : $int,X1 : $int,X2 : $int] : ((10 = $sum($sum(X0,$product(2,X1)),X2) & $sum($sum($product(2,X0),X1),X2) = 10) => 0 != X2)),
% 2.85/1.19 inference(negated_conjecture,[],[f1])).
% 2.85/1.19
% 2.85/1.19 tff(f3,plain,(
% 2.85/1.19 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 2.85/1.19 introduced(theory_axiom_138,[])).
% 2.85/1.19
% 2.85/1.19 tff(f4,plain,(
% 2.85/1.19 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 2.85/1.19 introduced(theory_axiom_139,[])).
% 2.85/1.19
% 2.85/1.19 tff(f14,plain,(
% 2.85/1.19 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 2.85/1.19 introduced(theory_axiom_138,[])).
% 2.85/1.19
% 2.85/1.19 tff(f15,plain,(
% 2.85/1.19 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 2.85/1.19 introduced(theory_axiom_139,[])).
% 2.85/1.19
% 2.85/1.19 tff(f21,plain,(
% 2.85/1.19 ? [X0 : $int,X1 : $int,X2 : $int] : (0 = X2 & (10 = $sum($sum(X0,$product(2,X1)),X2) & $sum($sum($product(2,X0),X1),X2) = 10))),
% 2.85/1.19 inference(ennf_transformation,[],[f2])).
% 2.85/1.19
% 2.85/1.19 tff(f22,plain,(
% 2.85/1.19 ? [X0 : $int,X1 : $int,X2 : $int] : (0 = X2 & 10 = $sum($sum(X0,$product(2,X1)),X2) & $sum($sum($product(2,X0),X1),X2) = 10)),
% 2.85/1.19 inference(flattening,[],[f21])).
% 2.85/1.19
% 2.85/1.19 tff(f23,plain,(
% 2.85/1.19 ? [X0 : $int,X1 : $int,X2 : $int] : (0 = X2 & 10 = $sum($sum(X0,$product(2,X1)),X2) & $sum($sum($product(2,X0),X1),X2) = 10) => (0 = sK2 & 10 = $sum($sum(sK0,$product(2,sK1)),sK2) & 10 = $sum($sum($product(2,sK0),sK1),sK2))),
% 2.85/1.19 introduced(choice_axiom,[])).
% 2.85/1.19
% 2.85/1.19 tff(f24,plain,(
% 2.85/1.19 0 = sK2 & 10 = $sum($sum(sK0,$product(2,sK1)),sK2) & 10 = $sum($sum($product(2,sK0),sK1),sK2)),
% 2.85/1.19 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f22,f23])).
% 2.85/1.19
% 2.85/1.19 tff(f25,plain,(
% 2.85/1.19 10 = $sum($sum($product(2,sK0),sK1),sK2)),
% 2.85/1.19 inference(cnf_transformation,[],[f24])).
% 2.85/1.19
% 2.85/1.19 tff(f26,plain,(
% 2.85/1.19 10 = $sum($sum(sK0,$product(2,sK1)),sK2)),
% 2.85/1.19 inference(cnf_transformation,[],[f24])).
% 2.85/1.19
% 2.85/1.19 tff(f27,plain,(
% 2.85/1.19 0 = sK2),
% 2.85/1.19 inference(cnf_transformation,[],[f24])).
% 2.85/1.19
% 2.85/1.19 tff(f28,plain,(
% 2.85/1.19 10 = $sum($sum(sK0,$product(2,sK1)),0)),
% 2.85/1.19 inference(definition_unfolding,[],[f26,f27])).
% 2.85/1.19
% 2.85/1.19 tff(f29,plain,(
% 2.85/1.19 10 = $sum($sum($product(2,sK0),sK1),0)),
% 2.85/1.19 inference(definition_unfolding,[],[f25,f27])).
% 2.85/1.19
% 2.85/1.19 cnf(c_54,plain,
% 2.85/1.19 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 2.85/1.19 inference(cnf_transformation,[],[f15])).
% 2.85/1.19
% 2.85/1.19 cnf(c_55,plain,
% 2.85/1.19 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 2.85/1.19 inference(cnf_transformation,[],[f14])).
% 2.85/1.19
% 2.85/1.19 cnf(c_65,plain,
% 2.85/1.19 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 2.85/1.19 inference(cnf_transformation,[],[f4])).
% 2.85/1.19
% 2.85/1.19 cnf(c_66,plain,
% 2.85/1.19 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 2.85/1.19 inference(cnf_transformation,[],[f3])).
% 2.85/1.19
% 2.85/1.19 cnf(c_67,negated_conjecture,
% 2.85/1.19 ($sum_int($sum_int(sK0,$product_int(2,sK1)),0) = 10),
% 2.85/1.19 inference(cnf_transformation,[],[f28])).
% 2.85/1.19
% 2.85/1.19 cnf(c_68,negated_conjecture,
% 2.85/1.19 ($sum_int($sum_int($product_int(2,sK0),sK1),0) = 10),
% 2.85/1.19 inference(cnf_transformation,[],[f29])).
% 2.85/1.19
% 2.85/1.19 cnf(c_87,negated_conjecture,
% 2.85/1.19 ($sum_int(0,$sum_int(sK0,$product_int(sK1,2))) = 10),
% 2.85/1.19 inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 2.85/1.19
% 2.85/1.19 cnf(c_88,negated_conjecture,
% 2.85/1.19 ($sum_int(0,$sum_int(sK1,$product_int(sK0,2))) = 10),
% 2.85/1.19 inference(theory_normalisation,[status(thm)],[c_68,c_54,c_55,c_65,c_66])).
% 2.85/1.19
% 2.85/1.19 cnf(c_195,plain,
% 2.85/1.19 ($sum_int(sK1,$product_int(2,sK0)) = 10),
% 2.85/1.19 inference(smt_theory_normalisation,[status(thm)],[c_88])).
% 2.85/1.19
% 2.85/1.19 cnf(c_196,plain,
% 2.85/1.19 ($sum_int(sK1,$product_int(sK0,2)) = 10),
% 2.85/1.19 inference(theory_normalisation,[status(thm)],[c_195,c_65,c_66,c_54,c_55])).
% 2.85/1.19
% 2.85/1.19 cnf(c_197,plain,
% 2.85/1.19 ($sum_int(sK0,$product_int(2,sK1)) = 10),
% 2.85/1.19 inference(smt_theory_normalisation,[status(thm)],[c_87])).
% 2.85/1.19
% 2.85/1.19 cnf(c_198,plain,
% 2.85/1.19 ($sum_int(sK0,$product_int(sK1,2)) = 10),
% 2.85/1.19 inference(theory_normalisation,[status(thm)],[c_197,c_65,c_66,c_54,c_55])).
% 2.85/1.19
% 2.85/1.19 cnf(c_995,plain,
% 2.85/1.19 ($sum_int(sK0,$sum_int($product_int(sK1,2),X0_3)) = $sum_int(10,X0_3)),
% 2.85/1.19 inference(superposition,[status(thm)],[c_198,c_65])).
% 2.85/1.19
% 2.85/1.19 cnf(c_996,plain,
% 2.85/1.19 ($sum_int(sK1,$sum_int($product_int(sK0,2),X0_3)) = $sum_int(10,X0_3)),
% 2.85/1.19 inference(superposition,[status(thm)],[c_196,c_65])).
% 2.85/1.19
% 2.85/1.19 cnf(c_4807,plain,
% 2.85/1.19 ($false),
% 2.85/1.19 inference(smt_impl_just,[status(thm)],[c_996,c_995])).
% 2.85/1.19
% 2.85/1.19
% 2.85/1.19 % SZS output end CNFRefutation for theBenchmark.p
% 2.85/1.19
% 2.85/1.19
%------------------------------------------------------------------------------