TSTP Solution File: ARI621_1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ARI621_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 17:41:31 EDT 2023
% Result : Theorem 3.44s 1.01s
% Output : CNFRefutation 3.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : ARI621_1 : TPTP v8.1.2. Released v5.1.0.
% 0.08/0.09 % Command : run_iprover %s %d THM
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Aug 29 18:44:32 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.14/0.38 Running TFA theorem proving
% 0.14/0.38 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.44/1.01 % SZS status Started for theBenchmark.p
% 3.44/1.01 % SZS status Theorem for theBenchmark.p
% 3.44/1.01
% 3.44/1.01 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.44/1.01
% 3.44/1.01 ------ iProver source info
% 3.44/1.01
% 3.44/1.01 git: date: 2023-05-31 18:12:56 +0000
% 3.44/1.01 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.44/1.01 git: non_committed_changes: false
% 3.44/1.01 git: last_make_outside_of_git: false
% 3.44/1.01
% 3.44/1.01 ------ Parsing...
% 3.44/1.01 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.44/1.01
% 3.44/1.01 ------ Preprocessing... sup_sim: 2 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
% 3.44/1.01
% 3.44/1.01 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.44/1.01
% 3.44/1.01 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.44/1.01 ------ Proving...
% 3.44/1.01 ------ Problem Properties
% 3.44/1.01
% 3.44/1.01
% 3.44/1.01 clauses 26
% 3.44/1.01 conjectures 5
% 3.44/1.01 EPR 9
% 3.44/1.01 Horn 20
% 3.44/1.01 unary 17
% 3.44/1.01 binary 2
% 3.44/1.01 lits 42
% 3.44/1.01 lits eq 19
% 3.44/1.01 fd_pure 0
% 3.44/1.01 fd_pseudo 0
% 3.44/1.01 fd_cond 2
% 3.44/1.01 fd_pseudo_cond 2
% 3.44/1.01 AC symbols 2
% 3.44/1.01
% 3.44/1.01 ------ Input Options Time Limit: Unbounded
% 3.44/1.01
% 3.44/1.01
% 3.44/1.01 ------
% 3.44/1.01 Current options:
% 3.44/1.01 ------
% 3.44/1.01
% 3.44/1.01
% 3.44/1.01
% 3.44/1.01
% 3.44/1.01 ------ Proving...
% 3.44/1.01
% 3.44/1.01
% 3.44/1.01 % SZS status Theorem for theBenchmark.p
% 3.44/1.01
% 3.44/1.01 % SZS output start CNFRefutation for theBenchmark.p
% 3.44/1.01
% 3.44/1.01 tff(f1,conjecture,(
% 3.44/1.01 ! [X0 : $int] : (pow2(X0) <=> ((? [X1 : $int] : (pow2(X1) & $product(2,X1) = X0) & $lesseq(2,X0)) | 1 = X0)) => ~pow2(12)),
% 3.44/1.01 file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_pow_of_2_10)).
% 3.44/1.01
% 3.44/1.01 tff(f2,negated_conjecture,(
% 3.44/1.01 ~(! [X0 : $int] : (pow2(X0) <=> ((? [X1 : $int] : (pow2(X1) & $product(2,X1) = X0) & $lesseq(2,X0)) | 1 = X0)) => ~pow2(12))),
% 3.44/1.01 inference(negated_conjecture,[],[f1])).
% 3.44/1.01
% 3.44/1.01 tff(f3,plain,(
% 3.44/1.01 ~(! [X0 : $int] : (pow2(X0) <=> ((? [X1 : $int] : (pow2(X1) & $product(2,X1) = X0) & ~$less(X0,2)) | 1 = X0)) => ~pow2(12))),
% 3.44/1.01 inference(theory_normalization,[],[f2])).
% 3.44/1.01
% 3.44/1.01 tff(f22,plain,(
% 3.44/1.01 pow2(12) & ! [X0 : $int] : (pow2(X0) <=> ((? [X1 : $int] : (pow2(X1) & $product(2,X1) = X0) & ~$less(X0,2)) | 1 = X0))),
% 3.44/1.01 inference(ennf_transformation,[],[f3])).
% 3.44/1.01
% 3.44/1.01 tff(f23,plain,(
% 3.44/1.01 pow2(12) & ! [X0 : $int] : ((pow2(X0) | ((! [X1 : $int] : (~pow2(X1) | $product(2,X1) != X0) | $less(X0,2)) & 1 != X0)) & (((? [X1 : $int] : (pow2(X1) & $product(2,X1) = X0) & ~$less(X0,2)) | 1 = X0) | ~pow2(X0)))),
% 3.44/1.01 inference(nnf_transformation,[],[f22])).
% 3.44/1.01
% 3.44/1.01 tff(f24,plain,(
% 3.44/1.01 pow2(12) & ! [X0 : $int] : ((pow2(X0) | ((! [X1 : $int] : (~pow2(X1) | $product(2,X1) != X0) | $less(X0,2)) & 1 != X0)) & ((? [X1 : $int] : (pow2(X1) & $product(2,X1) = X0) & ~$less(X0,2)) | 1 = X0 | ~pow2(X0)))),
% 3.44/1.01 inference(flattening,[],[f23])).
% 3.44/1.01
% 3.44/1.01 tff(f25,plain,(
% 3.44/1.01 pow2(12) & ! [X0 : $int] : ((pow2(X0) | ((! [X1 : $int] : (~pow2(X1) | $product(2,X1) != X0) | $less(X0,2)) & 1 != X0)) & ((? [X2 : $int] : (pow2(X2) & $product(2,X2) = X0) & ~$less(X0,2)) | 1 = X0 | ~pow2(X0)))),
% 3.44/1.01 inference(rectify,[],[f24])).
% 3.44/1.01
% 3.44/1.01 tff(f26,plain,(
% 3.44/1.01 ! [X0 : $int] : (? [X2 : $int] : (pow2(X2) & $product(2,X2) = X0) => (pow2(sK0(X0)) & $product(2,sK0(X0)) = X0))),
% 3.44/1.01 introduced(choice_axiom,[])).
% 3.44/1.01
% 3.44/1.01 tff(f27,plain,(
% 3.44/1.01 pow2(12) & ! [X0 : $int] : ((pow2(X0) | ((! [X1 : $int] : (~pow2(X1) | $product(2,X1) != X0) | $less(X0,2)) & 1 != X0)) & (((pow2(sK0(X0)) & $product(2,sK0(X0)) = X0) & ~$less(X0,2)) | 1 = X0 | ~pow2(X0)))),
% 3.44/1.01 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f25,f26])).
% 3.44/1.01
% 3.44/1.01 tff(f29,plain,(
% 3.44/1.01 ( ! [X0 : $int] : ($product(2,sK0(X0)) = X0 | 1 = X0 | ~pow2(X0)) )),
% 3.44/1.01 inference(cnf_transformation,[],[f27])).
% 3.44/1.01
% 3.44/1.01 tff(f30,plain,(
% 3.44/1.01 ( ! [X0 : $int] : (pow2(sK0(X0)) | 1 = X0 | ~pow2(X0)) )),
% 3.44/1.01 inference(cnf_transformation,[],[f27])).
% 3.44/1.01
% 3.44/1.01 tff(f33,plain,(
% 3.44/1.01 pow2(12)),
% 3.44/1.01 inference(cnf_transformation,[],[f27])).
% 3.44/1.01
% 3.44/1.01 cnf(c_67,negated_conjecture,
% 3.44/1.01 (pow2(12)),
% 3.44/1.01 inference(cnf_transformation,[],[f33])).
% 3.44/1.01
% 3.44/1.01 cnf(c_70,negated_conjecture,
% 3.44/1.01 (~pow2(X0_3)|X0_3 = 1|pow2(sK0(X0_3))),
% 3.44/1.01 inference(cnf_transformation,[],[f30])).
% 3.44/1.01
% 3.44/1.01 cnf(c_71,negated_conjecture,
% 3.44/1.01 (~pow2(X0_3)|$product_int(2,sK0(X0_3)) = X0_3|X0_3 = 1),
% 3.44/1.01 inference(cnf_transformation,[],[f29])).
% 3.44/1.01
% 3.44/1.01 cnf(c_864,plain,
% 3.44/1.01 ($product_int(2,sK0(12)) = 12|1 = 12),
% 3.44/1.01 inference(superposition,[status(thm)],[c_67,c_71])).
% 3.44/1.01
% 3.44/1.01 cnf(c_885,plain,
% 3.44/1.01 (sK0(12) = 6),
% 3.44/1.01 inference(smt_theory_normalisation,[status(thm)],[c_864])).
% 3.44/1.01
% 3.44/1.01 cnf(c_886,plain,
% 3.44/1.01 (~pow2(12)|1 = 12|pow2(6)),
% 3.44/1.01 inference(superposition,[status(thm)],[c_885,c_70])).
% 3.44/1.01
% 3.44/1.01 cnf(c_887,plain,
% 3.44/1.01 (1 = 12|pow2(6)),
% 3.44/1.01 inference(forward_subsumption_resolution,[status(thm)],[c_886,c_67])).
% 3.44/1.01
% 3.44/1.01 cnf(c_890,plain,
% 3.44/1.01 (pow2(6)),
% 3.44/1.01 inference(smt_theory_normalisation,[status(thm)],[c_887])).
% 3.44/1.01
% 3.44/1.01 cnf(c_891,plain,
% 3.44/1.01 ($product_int(2,sK0(6)) = 6|1 = 6),
% 3.44/1.01 inference(superposition,[status(thm)],[c_890,c_71])).
% 3.44/1.01
% 3.44/1.01 cnf(c_901,plain,
% 3.44/1.01 (sK0(6) = 3),
% 3.44/1.01 inference(smt_theory_normalisation,[status(thm)],[c_891])).
% 3.44/1.01
% 3.44/1.01 cnf(c_902,plain,
% 3.44/1.01 (~pow2(6)|1 = 6|pow2(3)),
% 3.44/1.01 inference(superposition,[status(thm)],[c_901,c_70])).
% 3.44/1.01
% 3.44/1.01 cnf(c_903,plain,
% 3.44/1.01 (1 = 6|pow2(3)),
% 3.44/1.01 inference(forward_subsumption_resolution,[status(thm)],[c_902,c_890])).
% 3.44/1.01
% 3.44/1.01 cnf(c_1132,plain,
% 3.44/1.01 (pow2(3)),
% 3.44/1.01 inference(smt_theory_normalisation,[status(thm)],[c_903])).
% 3.44/1.01
% 3.44/1.01 cnf(c_1137,plain,
% 3.44/1.01 ($product_int(2,sK0(3)) = 3|1 = 3),
% 3.44/1.01 inference(superposition,[status(thm)],[c_1132,c_71])).
% 3.44/1.01
% 3.44/1.01 cnf(c_1192,plain,
% 3.44/1.01 ($false),
% 3.44/1.01 inference(smt_theory_normalisation,[status(thm)],[c_1137])).
% 3.44/1.01
% 3.44/1.01
% 3.44/1.01 % SZS output end CNFRefutation for theBenchmark.p
% 3.44/1.01
% 3.44/1.01
%------------------------------------------------------------------------------