TSTP Solution File: ARI121_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ARI121_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 0.95s 1.18s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI121_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n021.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 01:08:13 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.22/0.48 Running TFA theorem proving
% 0.22/0.48 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
% 0.95/1.18 % SZS status Started for theBenchmark.p
% 0.95/1.18 % SZS status Theorem for theBenchmark.p
% 0.95/1.18
% 0.95/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.95/1.18
% 0.95/1.18 ------ iProver source info
% 0.95/1.18
% 0.95/1.18 git: date: 2024-05-02 19:28:25 +0000
% 0.95/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.95/1.18 git: non_committed_changes: false
% 0.95/1.18
% 0.95/1.18 ------ Parsing...
% 0.95/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.95/1.18
% 0.95/1.18 ------ Preprocessing...
% 0.95/1.18
% 0.95/1.18 % SZS status Theorem for theBenchmark.p
% 0.95/1.18
% 0.95/1.18 % SZS output start CNFRefutation for theBenchmark.p
% 0.95/1.18
% 0.95/1.18 tff(f1,conjecture,(
% 0.95/1.18 ! [X0 : $int,X1 : $int] : (($product(7,6) = X1 & $product(6,7) = X0) => X0 = X1)),
% 0.95/1.18 file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutative_product_6_7)).
% 0.95/1.18
% 0.95/1.18 tff(f2,negated_conjecture,(
% 0.95/1.18 ~! [X0 : $int,X1 : $int] : (($product(7,6) = X1 & $product(6,7) = X0) => X0 = X1)),
% 0.95/1.18 inference(negated_conjecture,[],[f1])).
% 0.95/1.18
% 0.95/1.18 tff(f3,plain,(
% 0.95/1.18 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.95/1.18 introduced(theory_axiom_138,[])).
% 0.95/1.18
% 0.95/1.18 tff(f4,plain,(
% 0.95/1.18 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.95/1.18 introduced(theory_axiom_139,[])).
% 0.95/1.18
% 0.95/1.18 tff(f14,plain,(
% 0.95/1.18 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.95/1.18 introduced(theory_axiom_138,[])).
% 0.95/1.18
% 0.95/1.18 tff(f15,plain,(
% 0.95/1.18 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 0.95/1.18 introduced(theory_axiom_139,[])).
% 0.95/1.18
% 0.95/1.18 tff(f21,plain,(
% 0.95/1.18 ? [X0 : $int,X1 : $int] : (X0 != X1 & ($product(7,6) = X1 & $product(6,7) = X0))),
% 0.95/1.18 inference(ennf_transformation,[],[f2])).
% 0.95/1.18
% 0.95/1.18 tff(f22,plain,(
% 0.95/1.18 ? [X0 : $int,X1 : $int] : (X0 != X1 & $product(7,6) = X1 & $product(6,7) = X0)),
% 0.95/1.18 inference(flattening,[],[f21])).
% 0.95/1.18
% 0.95/1.18 tff(f23,plain,(
% 0.95/1.18 ? [X0 : $int,X1 : $int] : (X0 != X1 & $product(7,6) = X1 & $product(6,7) = X0) => (sK0 != sK1 & $product(7,6) = sK1 & $product(6,7) = sK0)),
% 0.95/1.18 introduced(choice_axiom,[])).
% 0.95/1.18
% 0.95/1.18 tff(f24,plain,(
% 0.95/1.18 sK0 != sK1 & $product(7,6) = sK1 & $product(6,7) = sK0),
% 0.95/1.18 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f22,f23])).
% 0.95/1.18
% 0.95/1.18 tff(f25,plain,(
% 0.95/1.18 $product(6,7) = sK0),
% 0.95/1.18 inference(cnf_transformation,[],[f24])).
% 0.95/1.18
% 0.95/1.18 tff(f26,plain,(
% 0.95/1.18 $product(7,6) = sK1),
% 0.95/1.18 inference(cnf_transformation,[],[f24])).
% 0.95/1.18
% 0.95/1.18 tff(f27,plain,(
% 0.95/1.18 sK0 != sK1),
% 0.95/1.18 inference(cnf_transformation,[],[f24])).
% 0.95/1.18
% 0.95/1.18 cnf(c_54,plain,
% 0.95/1.18 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 0.95/1.18 inference(cnf_transformation,[],[f15])).
% 0.95/1.18
% 0.95/1.18 cnf(c_55,plain,
% 0.95/1.18 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 0.95/1.18 inference(cnf_transformation,[],[f14])).
% 0.95/1.18
% 0.95/1.18 cnf(c_65,plain,
% 0.95/1.18 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 0.95/1.18 inference(cnf_transformation,[],[f4])).
% 0.95/1.18
% 0.95/1.18 cnf(c_66,plain,
% 0.95/1.18 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 0.95/1.18 inference(cnf_transformation,[],[f3])).
% 0.95/1.18
% 0.95/1.18 cnf(c_67,negated_conjecture,
% 0.95/1.18 (sK0 != sK1),
% 0.95/1.18 inference(cnf_transformation,[],[f27])).
% 0.95/1.18
% 0.95/1.18 cnf(c_68,negated_conjecture,
% 0.95/1.18 ($product_int(7,6) = sK1),
% 0.95/1.18 inference(cnf_transformation,[],[f26])).
% 0.95/1.18
% 0.95/1.18 cnf(c_69,negated_conjecture,
% 0.95/1.18 ($product_int(6,7) = sK0),
% 0.95/1.18 inference(cnf_transformation,[],[f25])).
% 0.95/1.18
% 0.95/1.18 cnf(c_88,negated_conjecture,
% 0.95/1.18 ($product_int(7,6) = sK0),
% 0.95/1.18 inference(theory_normalisation,[status(thm)],[c_69,c_54,c_55,c_65,c_66])).
% 0.95/1.18
% 0.95/1.18 cnf(c_196,plain,
% 0.95/1.18 (sK0 = 42),
% 0.95/1.18 inference(smt_theory_normalisation,[status(thm)],[c_88])).
% 0.95/1.18
% 0.95/1.18 cnf(c_197,plain,
% 0.95/1.18 (sK1 = 42),
% 0.95/1.18 inference(smt_theory_normalisation,[status(thm)],[c_68])).
% 0.95/1.18
% 0.95/1.18 cnf(c_198,plain,
% 0.95/1.18 (sK0 = sK1),
% 0.95/1.18 inference(light_normalisation,[status(thm)],[c_197,c_196])).
% 0.95/1.18
% 0.95/1.18 cnf(c_199,plain,
% 0.95/1.18 ($false),
% 0.95/1.18 inference(forward_subsumption_resolution,[status(thm)],[c_198,c_67])).
% 0.95/1.18
% 0.95/1.18
% 0.95/1.18 % SZS output end CNFRefutation for theBenchmark.p
% 0.95/1.18
% 0.95/1.18
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