TSTP Solution File: ARI758_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ARI758_1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 17:42:00 EDT 2023
% Result : Unsatisfiable 0.49s 1.17s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ARI758_1 : TPTP v8.1.2. Released v7.0.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n010.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 18:05:19 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running TFA theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.49/1.17 % SZS status Started for theBenchmark.p
% 0.49/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.17
% 0.49/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.49/1.17
% 0.49/1.17 ------ iProver source info
% 0.49/1.17
% 0.49/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.49/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.49/1.17 git: non_committed_changes: false
% 0.49/1.17 git: last_make_outside_of_git: false
% 0.49/1.17
% 0.49/1.17 ------ Parsing...
% 0.49/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.49/1.17
% 0.49/1.17 ------ Preprocessing... sup_sim: 18 sf_s rm: 6 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e
% 0.49/1.17
% 0.49/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.49/1.17
% 0.49/1.17 % SZS output start CNFRefutation for theBenchmark.p
% 0.49/1.17
% 0.49/1.17 tff(f170,axiom,(
% 0.49/1.17 ~(c_Boolean_true = c_Boolean_true => ! [X812 : c_unsorted] : (1 = integer_of_int32(c_sort(int32,X812)) => ! [X813 : c_unsorted] : (c_sort(int32,X812) = c_sort(int32,X813) => ! [X814 : c_unsorted] : (2 = integer_of_int32(c_sort(int32,X814)) => ! [X815 : c_unsorted] : ? [X816 : c_sorted] : ((c_sort(int32,X814) = X816 => integer_of_int32(c_sort(int32,X813)) = $difference(integer_of_int32(X816),1)) & c_sort(int32,X815) = X816)))))),
% 0.49/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_170)).
% 0.49/1.17
% 0.49/1.17 tff(f223,plain,(
% 0.49/1.17 ~(c_Boolean_true = c_Boolean_true => ! [X812 : c_unsorted] : (1 = integer_of_int32(c_sort(int32,X812)) => ! [X813 : c_unsorted] : (c_sort(int32,X812) = c_sort(int32,X813) => ! [X814 : c_unsorted] : (2 = integer_of_int32(c_sort(int32,X814)) => ! [X815 : c_unsorted] : ? [X816 : c_sorted] : ((c_sort(int32,X814) = X816 => integer_of_int32(c_sort(int32,X813)) = $sum(integer_of_int32(X816),$uminus(1))) & c_sort(int32,X815) = X816)))))),
% 0.49/1.17 inference(theory_normalization,[],[f170])).
% 0.49/1.17
% 0.49/1.17 tff(f224,plain,(
% 0.49/1.17 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.49/1.17 introduced(theory_axiom_138,[])).
% 0.49/1.17
% 0.49/1.17 tff(f225,plain,(
% 0.49/1.17 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.49/1.17 introduced(theory_axiom_139,[])).
% 0.49/1.17
% 0.49/1.17 tff(f235,plain,(
% 0.49/1.17 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.49/1.17 introduced(theory_axiom_138,[])).
% 0.49/1.17
% 0.49/1.17 tff(f236,plain,(
% 0.49/1.17 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 0.49/1.17 introduced(theory_axiom_139,[])).
% 0.49/1.17
% 0.49/1.17 tff(f242,plain,(
% 0.49/1.17 ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.49/1.17 introduced(theory_axiom_138,[])).
% 0.49/1.17
% 0.49/1.17 tff(f243,plain,(
% 0.49/1.17 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.49/1.17 introduced(theory_axiom_139,[])).
% 0.49/1.17
% 0.49/1.17 tff(f418,plain,(
% 0.49/1.17 ~(c_Boolean_true = c_Boolean_true => ! [X0 : c_unsorted] : (1 = integer_of_int32(c_sort(int32,X0)) => ! [X1 : c_unsorted] : (c_sort(int32,X1) = c_sort(int32,X0) => ! [X2 : c_unsorted] : (2 = integer_of_int32(c_sort(int32,X2)) => ! [X3 : c_unsorted] : ? [X4 : c_sorted] : ((c_sort(int32,X2) = X4 => integer_of_int32(c_sort(int32,X1)) = $sum(integer_of_int32(X4),$uminus(1))) & c_sort(int32,X3) = X4)))))),
% 0.49/1.17 inference(rectify,[],[f223])).
% 0.49/1.17
% 0.49/1.17 tff(f496,plain,(
% 0.49/1.17 ? [X0 : c_unsorted] : (? [X1 : c_unsorted] : (? [X2 : c_unsorted] : (? [X3 : c_unsorted] : ! [X4 : c_sorted] : ((integer_of_int32(c_sort(int32,X1)) != $sum(integer_of_int32(X4),$uminus(1)) & c_sort(int32,X2) = X4) | c_sort(int32,X3) != X4) & 2 = integer_of_int32(c_sort(int32,X2))) & c_sort(int32,X1) = c_sort(int32,X0)) & 1 = integer_of_int32(c_sort(int32,X0))) & c_Boolean_true = c_Boolean_true),
% 0.49/1.17 inference(ennf_transformation,[],[f418])).
% 0.49/1.17
% 0.49/1.17 tff(f926,plain,(
% 0.49/1.17 ? [X0 : c_unsorted] : (? [X1 : c_unsorted] : (? [X2 : c_unsorted] : (? [X3 : c_unsorted] : ! [X4 : c_sorted] : ((integer_of_int32(c_sort(int32,X1)) != $sum(integer_of_int32(X4),$uminus(1)) & c_sort(int32,X2) = X4) | c_sort(int32,X3) != X4) & 2 = integer_of_int32(c_sort(int32,X2))) & c_sort(int32,X1) = c_sort(int32,X0)) & 1 = integer_of_int32(c_sort(int32,X0))) => (? [X1 : c_unsorted] : (? [X2 : c_unsorted] : (? [X3 : c_unsorted] : ! [X4 : c_sorted] : ((integer_of_int32(c_sort(int32,X1)) != $sum(integer_of_int32(X4),$uminus(1)) & c_sort(int32,X2) = X4) | c_sort(int32,X3) != X4) & 2 = integer_of_int32(c_sort(int32,X2))) & c_sort(int32,X1) = c_sort(int32,sK295)) & 1 = integer_of_int32(c_sort(int32,sK295)))),
% 0.49/1.17 introduced(choice_axiom,[])).
% 0.49/1.17
% 0.49/1.17 tff(f927,plain,(
% 0.49/1.17 ? [X1 : c_unsorted] : (? [X2 : c_unsorted] : (? [X3 : c_unsorted] : ! [X4 : c_sorted] : ((integer_of_int32(c_sort(int32,X1)) != $sum(integer_of_int32(X4),$uminus(1)) & c_sort(int32,X2) = X4) | c_sort(int32,X3) != X4) & 2 = integer_of_int32(c_sort(int32,X2))) & c_sort(int32,X1) = c_sort(int32,sK295)) => (? [X2 : c_unsorted] : (? [X3 : c_unsorted] : ! [X4 : c_sorted] : (($sum(integer_of_int32(X4),$uminus(1)) != integer_of_int32(c_sort(int32,sK296)) & c_sort(int32,X2) = X4) | c_sort(int32,X3) != X4) & 2 = integer_of_int32(c_sort(int32,X2))) & c_sort(int32,sK295) = c_sort(int32,sK296))),
% 0.49/1.17 introduced(choice_axiom,[])).
% 0.49/1.17
% 0.49/1.17 tff(f928,plain,(
% 0.49/1.17 ? [X2 : c_unsorted] : (? [X3 : c_unsorted] : ! [X4 : c_sorted] : (($sum(integer_of_int32(X4),$uminus(1)) != integer_of_int32(c_sort(int32,sK296)) & c_sort(int32,X2) = X4) | c_sort(int32,X3) != X4) & 2 = integer_of_int32(c_sort(int32,X2))) => (? [X3 : c_unsorted] : ! [X4 : c_sorted] : (($sum(integer_of_int32(X4),$uminus(1)) != integer_of_int32(c_sort(int32,sK296)) & c_sort(int32,sK297) = X4) | c_sort(int32,X3) != X4) & 2 = integer_of_int32(c_sort(int32,sK297)))),
% 0.49/1.17 introduced(choice_axiom,[])).
% 0.49/1.17
% 0.49/1.17 tff(f929,plain,(
% 0.49/1.17 ? [X3 : c_unsorted] : ! [X4 : c_sorted] : (($sum(integer_of_int32(X4),$uminus(1)) != integer_of_int32(c_sort(int32,sK296)) & c_sort(int32,sK297) = X4) | c_sort(int32,X3) != X4) => ! [X4 : c_sorted] : (($sum(integer_of_int32(X4),$uminus(1)) != integer_of_int32(c_sort(int32,sK296)) & c_sort(int32,sK297) = X4) | c_sort(int32,sK298) != X4)),
% 0.49/1.17 introduced(choice_axiom,[])).
% 0.49/1.17
% 0.49/1.17 tff(f930,plain,(
% 0.49/1.17 (((! [X4 : c_sorted] : (($sum(integer_of_int32(X4),$uminus(1)) != integer_of_int32(c_sort(int32,sK296)) & c_sort(int32,sK297) = X4) | c_sort(int32,sK298) != X4) & 2 = integer_of_int32(c_sort(int32,sK297))) & c_sort(int32,sK295) = c_sort(int32,sK296)) & 1 = integer_of_int32(c_sort(int32,sK295))) & c_Boolean_true = c_Boolean_true),
% 0.49/1.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK295,sK296,sK297,sK298])],[f496,f929,f928,f927,f926])).
% 0.49/1.17
% 0.49/1.17 tff(f1481,plain,(
% 0.49/1.17 1 = integer_of_int32(c_sort(int32,sK295))),
% 0.49/1.17 inference(cnf_transformation,[],[f930])).
% 0.49/1.17
% 0.49/1.17 tff(f1482,plain,(
% 0.49/1.17 c_sort(int32,sK295) = c_sort(int32,sK296)),
% 0.49/1.17 inference(cnf_transformation,[],[f930])).
% 0.49/1.17
% 0.49/1.17 tff(f1483,plain,(
% 0.49/1.17 2 = integer_of_int32(c_sort(int32,sK297))),
% 0.49/1.17 inference(cnf_transformation,[],[f930])).
% 0.49/1.17
% 0.49/1.17 tff(f1484,plain,(
% 0.49/1.17 ( ! [X4 : c_sorted] : (c_sort(int32,sK297) = X4 | c_sort(int32,sK298) != X4) )),
% 0.49/1.17 inference(cnf_transformation,[],[f930])).
% 0.49/1.17
% 0.49/1.17 tff(f1485,plain,(
% 0.49/1.17 ( ! [X4 : c_sorted] : ($sum(integer_of_int32(X4),$uminus(1)) != integer_of_int32(c_sort(int32,sK296)) | c_sort(int32,sK298) != X4) )),
% 0.49/1.17 inference(cnf_transformation,[],[f930])).
% 0.49/1.17
% 0.49/1.17 tff(f1878,plain,(
% 0.49/1.17 integer_of_int32(c_sort(int32,sK296)) != $sum(integer_of_int32(c_sort(int32,sK298)),$uminus(1))),
% 0.49/1.17 inference(equality_resolution,[],[f1485])).
% 0.49/1.17
% 0.49/1.17 tff(f1879,plain,(
% 0.49/1.17 c_sort(int32,sK297) = c_sort(int32,sK298)),
% 0.49/1.17 inference(equality_resolution,[],[f1484])).
% 0.49/1.17
% 0.49/1.17 cnf(c_58,plain,
% 0.49/1.17 ($sum_real($sum_real(X0_2,X1_2),X2_2) = $sum_real(X0_2,$sum_real(X1_2,X2_2))),
% 0.49/1.17 inference(cnf_transformation,[],[f243])).
% 0.49/1.17
% 0.49/1.17 cnf(c_59,plain,
% 0.49/1.17 ($sum_real(X0_2,X1_2) = $sum_real(X1_2,X0_2)),
% 0.49/1.17 inference(cnf_transformation,[],[f242])).
% 0.49/1.17
% 0.49/1.17 cnf(c_65,plain,
% 0.49/1.17 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 0.49/1.17 inference(cnf_transformation,[],[f236])).
% 0.49/1.17
% 0.49/1.17 cnf(c_66,plain,
% 0.49/1.17 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 0.49/1.17 inference(cnf_transformation,[],[f235])).
% 0.49/1.17
% 0.49/1.17 cnf(c_76,plain,
% 0.49/1.17 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 0.49/1.17 inference(cnf_transformation,[],[f225])).
% 0.49/1.17
% 0.49/1.17 cnf(c_77,plain,
% 0.49/1.17 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 0.49/1.17 inference(cnf_transformation,[],[f224])).
% 0.49/1.17
% 0.49/1.17 cnf(c_372,plain,
% 0.49/1.17 ($sum_int(integer_of_int32(c_sort(int32,sK298)),$uminus_int(1)) != integer_of_int32(c_sort(int32,sK296))),
% 0.49/1.17 inference(cnf_transformation,[],[f1878])).
% 0.49/1.17
% 0.49/1.17 cnf(c_373,plain,
% 0.49/1.17 (c_sort(int32,sK297) = c_sort(int32,sK298)),
% 0.49/1.17 inference(cnf_transformation,[],[f1879])).
% 0.49/1.17
% 0.49/1.17 cnf(c_374,plain,
% 0.49/1.17 (integer_of_int32(c_sort(int32,sK297)) = 2),
% 0.49/1.17 inference(cnf_transformation,[],[f1483])).
% 0.49/1.17
% 0.49/1.17 cnf(c_375,plain,
% 0.49/1.17 (c_sort(int32,sK295) = c_sort(int32,sK296)),
% 0.49/1.17 inference(cnf_transformation,[],[f1482])).
% 0.49/1.17
% 0.49/1.17 cnf(c_376,plain,
% 0.49/1.17 (integer_of_int32(c_sort(int32,sK295)) = 1),
% 0.49/1.17 inference(cnf_transformation,[],[f1481])).
% 0.49/1.17
% 0.49/1.17 cnf(c_657,plain,
% 0.49/1.17 ($sum_int($uminus_int(1),integer_of_int32(c_sort(int32,sK298))) != integer_of_int32(c_sort(int32,sK296))),
% 0.49/1.17 inference(theory_normalisation,
% 0.49/1.17 [status(thm)],
% 0.49/1.17 [c_372,c_65,c_66,c_76,c_77,c_58,c_59])).
% 0.49/1.17
% 0.49/1.17 cnf(c_3117,plain,
% 0.49/1.17 ($sum_int(1,integer_of_int32(c_sort(int32,sK296))) != integer_of_int32(c_sort(int32,sK298))),
% 0.49/1.17 inference(smt_theory_normalisation,[status(thm)],[c_657])).
% 0.49/1.17
% 0.49/1.17 cnf(c_3118,plain,
% 0.49/1.17 ($sum_int(1,1) != 2),
% 0.49/1.17 inference(light_normalisation,
% 0.49/1.17 [status(thm)],
% 0.49/1.17 [c_3117,c_373,c_374,c_375,c_376])).
% 0.49/1.17
% 0.49/1.17 cnf(c_8265,plain,
% 0.49/1.17 ($false),
% 0.49/1.17 inference(smt_theory_normalisation,[status(thm)],[c_3118])).
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 % SZS output end CNFRefutation for theBenchmark.p
% 0.49/1.17
% 0.49/1.17
%------------------------------------------------------------------------------