TSTP Solution File: SWW579_2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW579_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.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 : Mon Jun 24 18:17:43 EDT 2024
% Result : Theorem 4.14s 1.15s
% Output : CNFRefutation 4.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW579_2 : TPTP v8.2.0. Released v6.1.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 07:47:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.21/0.47 Running TFA theorem proving
% 0.21/0.47 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
% 4.14/1.15 % SZS status Started for theBenchmark.p
% 4.14/1.15 % SZS status Theorem for theBenchmark.p
% 4.14/1.15
% 4.14/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.14/1.15
% 4.14/1.15 ------ iProver source info
% 4.14/1.15
% 4.14/1.15 git: date: 2024-06-12 09:56:46 +0000
% 4.14/1.15 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.14/1.15 git: non_committed_changes: false
% 4.14/1.15
% 4.14/1.15 ------ Parsing...
% 4.14/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.14/1.15
% 4.14/1.15 ------ Preprocessing... sup_sim: 5 sf_s rm: 12 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e
% 4.14/1.15
% 4.14/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.14/1.15
% 4.14/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.14/1.15 ------ Proving...
% 4.14/1.15 ------ Problem Properties
% 4.14/1.15
% 4.14/1.15
% 4.14/1.15 clauses 68
% 4.14/1.15 conjectures 7
% 4.14/1.15 EPR 17
% 4.14/1.15 Horn 50
% 4.14/1.15 unary 45
% 4.14/1.15 binary 13
% 4.14/1.15 lits 101
% 4.14/1.15 lits eq 61
% 4.14/1.15 fd_pure 1
% 4.14/1.15 fd_pseudo 0
% 4.14/1.15 fd_cond 7
% 4.14/1.15 fd_pseudo_cond 4
% 4.14/1.15 AC symbols 4
% 4.14/1.15
% 4.14/1.15 ------ Input Options Time Limit: Unbounded
% 4.14/1.15
% 4.14/1.15
% 4.14/1.15 ------
% 4.14/1.15 Current options:
% 4.14/1.15 ------
% 4.14/1.15
% 4.14/1.15
% 4.14/1.15
% 4.14/1.15
% 4.14/1.15 ------ Proving...
% 4.14/1.15
% 4.14/1.15
% 4.14/1.15 % SZS status Theorem for theBenchmark.p
% 4.14/1.15
% 4.14/1.15 % SZS output start CNFRefutation for theBenchmark.p
% 4.14/1.15
% 4.14/1.15 tff(f20,conjecture,(
% 4.14/1.15 ! [X8 : $real,X9 : $real,X10 : $int,X11 : $real] : (($product($to_real(X10),X11) = X9 & $lesseq(1,X10) & $less(0.0,X11) & $lesseq(0.0,X8)) => (~($less(1.0,X9) & $less(X8,X9)) => ($lesseq($product($to_real(X10),X11),max(X8,1.0)) => ($less(0.0,$quotient(1.0,X11)) => ($lesseq($product($product($to_real(X10),X11),$quotient(1.0,X11)),$product(max(X8,1.0),$quotient(1.0,X11))) => ($lesseq($quotient($product($to_real(X10),X11),X11),$quotient(max(X8,1.0),X11)) => $lesseq($to_real(X10),$quotient(max(X8,1.0),X11))))))))),
% 4.14/1.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_sqrt)).
% 4.14/1.15
% 4.14/1.15 tff(f21,negated_conjecture,(
% 4.14/1.15 ~! [X8 : $real,X9 : $real,X10 : $int,X11 : $real] : (($product($to_real(X10),X11) = X9 & $lesseq(1,X10) & $less(0.0,X11) & $lesseq(0.0,X8)) => (~($less(1.0,X9) & $less(X8,X9)) => ($lesseq($product($to_real(X10),X11),max(X8,1.0)) => ($less(0.0,$quotient(1.0,X11)) => ($lesseq($product($product($to_real(X10),X11),$quotient(1.0,X11)),$product(max(X8,1.0),$quotient(1.0,X11))) => ($lesseq($quotient($product($to_real(X10),X11),X11),$quotient(max(X8,1.0),X11)) => $lesseq($to_real(X10),$quotient(max(X8,1.0),X11))))))))),
% 4.14/1.15 inference(negated_conjecture,[],[f20])).
% 4.14/1.15
% 4.14/1.15 tff(f27,plain,(
% 4.14/1.15 ~! [X8 : $real,X9 : $real,X10 : $int,X11 : $real] : (($product($to_real(X10),X11) = X9 & ~$less(X10,1) & $less(0.0,X11) & ~$less(X8,0.0)) => (~($less(1.0,X9) & $less(X8,X9)) => (~$less(max(X8,1.0),$product($to_real(X10),X11)) => ($less(0.0,$quotient(1.0,X11)) => (~$less($product(max(X8,1.0),$quotient(1.0,X11)),$product($product($to_real(X10),X11),$quotient(1.0,X11))) => (~$less($quotient(max(X8,1.0),X11),$quotient($product($to_real(X10),X11),X11)) => ~$less($quotient(max(X8,1.0),X11),$to_real(X10))))))))),
% 4.14/1.15 inference(theory_normalization,[],[f21])).
% 4.14/1.15
% 4.14/1.15 tff(f28,plain,(
% 4.14/1.15 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 4.14/1.15 introduced(theory_axiom_138,[])).
% 4.14/1.15
% 4.14/1.15 tff(f29,plain,(
% 4.14/1.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 4.14/1.15 introduced(theory_axiom_139,[])).
% 4.14/1.15
% 4.14/1.15 tff(f39,plain,(
% 4.14/1.15 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 4.14/1.15 introduced(theory_axiom_138,[])).
% 4.14/1.15
% 4.14/1.15 tff(f40,plain,(
% 4.14/1.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 4.14/1.15 introduced(theory_axiom_139,[])).
% 4.14/1.15
% 4.14/1.15 tff(f46,plain,(
% 4.14/1.15 ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 4.14/1.15 introduced(theory_axiom_138,[])).
% 4.14/1.15
% 4.14/1.15 tff(f47,plain,(
% 4.14/1.15 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 4.14/1.15 introduced(theory_axiom_139,[])).
% 4.14/1.15
% 4.14/1.15 tff(f57,plain,(
% 4.14/1.15 ( ! [X0 : $real,X1 : $real] : ($product(X0,X1) = $product(X1,X0)) )),
% 4.14/1.15 introduced(theory_axiom_138,[])).
% 4.14/1.15
% 4.14/1.15 tff(f58,plain,(
% 4.14/1.15 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 4.14/1.15 introduced(theory_axiom_139,[])).
% 4.14/1.15
% 4.14/1.15 tff(f64,plain,(
% 4.14/1.15 ( ! [X2 : $real,X1 : $real] : (0.0 = X1 | $quotient($product(X2,X1),X1) = X2) )),
% 4.14/1.15 introduced(theory_axiom_163,[])).
% 4.14/1.15
% 4.14/1.15 tff(f81,plain,(
% 4.14/1.15 ~! [X0 : $real,X1 : $real,X2 : $int,X3 : $real] : (($product($to_real(X2),X3) = X1 & ~$less(X2,1) & $less(0.0,X3) & ~$less(X0,0.0)) => (~($less(1.0,X1) & $less(X0,X1)) => (~$less(max(X0,1.0),$product($to_real(X2),X3)) => ($less(0.0,$quotient(1.0,X3)) => (~$less($product(max(X0,1.0),$quotient(1.0,X3)),$product($product($to_real(X2),X3),$quotient(1.0,X3))) => (~$less($quotient(max(X0,1.0),X3),$quotient($product($to_real(X2),X3),X3)) => ~$less($quotient(max(X0,1.0),X3),$to_real(X2))))))))),
% 4.14/1.15 inference(rectify,[],[f27])).
% 4.14/1.15
% 4.14/1.15 tff(f96,plain,(
% 4.14/1.15 ? [X0 : $real,X1 : $real,X2 : $int,X3 : $real] : (((((($less($quotient(max(X0,1.0),X3),$to_real(X2)) & ~$less($quotient(max(X0,1.0),X3),$quotient($product($to_real(X2),X3),X3))) & ~$less($product(max(X0,1.0),$quotient(1.0,X3)),$product($product($to_real(X2),X3),$quotient(1.0,X3)))) & $less(0.0,$quotient(1.0,X3))) & ~$less(max(X0,1.0),$product($to_real(X2),X3))) & (~$less(1.0,X1) | ~$less(X0,X1))) & ($product($to_real(X2),X3) = X1 & ~$less(X2,1) & $less(0.0,X3) & ~$less(X0,0.0)))),
% 4.14/1.15 inference(ennf_transformation,[],[f81])).
% 4.14/1.15
% 4.14/1.15 tff(f97,plain,(
% 4.14/1.15 ? [X0 : $real,X1 : $real,X2 : $int,X3 : $real] : ($less($quotient(max(X0,1.0),X3),$to_real(X2)) & ~$less($quotient(max(X0,1.0),X3),$quotient($product($to_real(X2),X3),X3)) & ~$less($product(max(X0,1.0),$quotient(1.0,X3)),$product($product($to_real(X2),X3),$quotient(1.0,X3))) & $less(0.0,$quotient(1.0,X3)) & ~$less(max(X0,1.0),$product($to_real(X2),X3)) & (~$less(1.0,X1) | ~$less(X0,X1)) & $product($to_real(X2),X3) = X1 & ~$less(X2,1) & $less(0.0,X3) & ~$less(X0,0.0))),
% 4.14/1.15 inference(flattening,[],[f96])).
% 4.14/1.15
% 4.14/1.15 tff(f98,plain,(
% 4.14/1.15 ? [X0 : $real,X1 : $real,X2 : $int,X3 : $real] : ($less($quotient(max(X0,1.0),X3),$to_real(X2)) & ~$less($quotient(max(X0,1.0),X3),$quotient($product($to_real(X2),X3),X3)) & ~$less($product(max(X0,1.0),$quotient(1.0,X3)),$product($product($to_real(X2),X3),$quotient(1.0,X3))) & $less(0.0,$quotient(1.0,X3)) & ~$less(max(X0,1.0),$product($to_real(X2),X3)) & (~$less(1.0,X1) | ~$less(X0,X1)) & $product($to_real(X2),X3) = X1 & ~$less(X2,1) & $less(0.0,X3) & ~$less(X0,0.0)) => ($less($quotient(max(sK0,1.0),sK3),$to_real(sK2)) & ~$less($quotient(max(sK0,1.0),sK3),$quotient($product($to_real(sK2),sK3),sK3)) & ~$less($product(max(sK0,1.0),$quotient(1.0,sK3)),$product($product($to_real(sK2),sK3),$quotient(1.0,sK3))) & $less(0.0,$quotient(1.0,sK3)) & ~$less(max(sK0,1.0),$product($to_real(sK2),sK3)) & (~$less(1.0,sK1) | ~$less(sK0,sK1)) & sK1 = $product($to_real(sK2),sK3) & ~$less(sK2,1) & $less(0.0,sK3) & ~$less(sK0,0.0))),
% 4.14/1.15 introduced(choice_axiom,[])).
% 4.14/1.15
% 4.14/1.15 tff(f99,plain,(
% 4.14/1.15 $less($quotient(max(sK0,1.0),sK3),$to_real(sK2)) & ~$less($quotient(max(sK0,1.0),sK3),$quotient($product($to_real(sK2),sK3),sK3)) & ~$less($product(max(sK0,1.0),$quotient(1.0,sK3)),$product($product($to_real(sK2),sK3),$quotient(1.0,sK3))) & $less(0.0,$quotient(1.0,sK3)) & ~$less(max(sK0,1.0),$product($to_real(sK2),sK3)) & (~$less(1.0,sK1) | ~$less(sK0,sK1)) & sK1 = $product($to_real(sK2),sK3) & ~$less(sK2,1) & $less(0.0,sK3) & ~$less(sK0,0.0)),
% 4.14/1.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f97,f98])).
% 4.14/1.15
% 4.14/1.15 tff(f122,plain,(
% 4.14/1.15 $less(0.0,sK3)),
% 4.14/1.15 inference(cnf_transformation,[],[f99])).
% 4.14/1.15
% 4.14/1.15 tff(f124,plain,(
% 4.14/1.15 sK1 = $product($to_real(sK2),sK3)),
% 4.14/1.15 inference(cnf_transformation,[],[f99])).
% 4.14/1.15
% 4.14/1.15 tff(f129,plain,(
% 4.14/1.15 ~$less($quotient(max(sK0,1.0),sK3),$quotient($product($to_real(sK2),sK3),sK3))),
% 4.14/1.15 inference(cnf_transformation,[],[f99])).
% 4.14/1.15
% 4.14/1.15 tff(f130,plain,(
% 4.14/1.15 $less($quotient(max(sK0,1.0),sK3),$to_real(sK2))),
% 4.14/1.15 inference(cnf_transformation,[],[f99])).
% 4.14/1.15
% 4.14/1.15 cnf(c_49,plain,
% 4.14/1.15 ($quotient_real($product_real(X0_2,X1_2),X1_2) = X0_2|X1_2 = 0.0),
% 4.14/1.15 inference(cnf_transformation,[],[f64])).
% 4.14/1.15
% 4.14/1.15 cnf(c_55,plain,
% 4.14/1.15 ($product_real($product_real(X0_2,X1_2),X2_2) = $product_real(X0_2,$product_real(X1_2,X2_2))),
% 4.14/1.15 inference(cnf_transformation,[],[f58])).
% 4.14/1.15
% 4.14/1.15 cnf(c_56,plain,
% 4.14/1.15 ($product_real(X0_2,X1_2) = $product_real(X1_2,X0_2)),
% 4.14/1.15 inference(cnf_transformation,[],[f57])).
% 4.14/1.15
% 4.14/1.15 cnf(c_66,plain,
% 4.14/1.15 ($sum_real($sum_real(X0_2,X1_2),X2_2) = $sum_real(X0_2,$sum_real(X1_2,X2_2))),
% 4.14/1.15 inference(cnf_transformation,[],[f47])).
% 4.14/1.15
% 4.14/1.15 cnf(c_67,plain,
% 4.14/1.15 ($sum_real(X0_2,X1_2) = $sum_real(X1_2,X0_2)),
% 4.14/1.15 inference(cnf_transformation,[],[f46])).
% 4.14/1.15
% 4.14/1.15 cnf(c_73,plain,
% 4.14/1.15 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 4.14/1.15 inference(cnf_transformation,[],[f40])).
% 4.14/1.15
% 4.14/1.15 cnf(c_74,plain,
% 4.14/1.15 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 4.14/1.15 inference(cnf_transformation,[],[f39])).
% 4.14/1.15
% 4.14/1.15 cnf(c_84,plain,
% 4.14/1.15 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 4.14/1.15 inference(cnf_transformation,[],[f29])).
% 4.14/1.15
% 4.14/1.15 cnf(c_85,plain,
% 4.14/1.15 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 4.14/1.15 inference(cnf_transformation,[],[f28])).
% 4.14/1.15
% 4.14/1.15 cnf(c_107,negated_conjecture,
% 4.14/1.15 ($less_real($quotient_real(max(sK0,1.0),sK3),$to_real_int(sK2))),
% 4.14/1.15 inference(cnf_transformation,[],[f130])).
% 4.14/1.15
% 4.14/1.15 cnf(c_108,negated_conjecture,
% 4.14/1.15 (~$less_real($quotient_real(max(sK0,1.0),sK3),$quotient_real($product_real($to_real_int(sK2),sK3),sK3))),
% 4.14/1.15 inference(cnf_transformation,[],[f129])).
% 4.14/1.15
% 4.14/1.15 cnf(c_113,negated_conjecture,
% 4.14/1.15 ($product_real($to_real_int(sK2),sK3) = sK1),
% 4.14/1.15 inference(cnf_transformation,[],[f124])).
% 4.14/1.15
% 4.14/1.15 cnf(c_115,negated_conjecture,
% 4.14/1.15 ($less_real(0.0,sK3)),
% 4.14/1.15 inference(cnf_transformation,[],[f122])).
% 4.14/1.15
% 4.14/1.15 cnf(c_169,negated_conjecture,
% 4.14/1.15 (~$less_real($quotient_real(max(sK0,1.0),sK3),$quotient_real($product_real(sK3,$to_real_int(sK2)),sK3))),
% 4.14/1.15 inference(theory_normalisation,
% 4.14/1.15 [status(thm)],
% 4.14/1.15 [c_108,c_73,c_74,c_84,c_85,c_55,c_56,c_66,c_67])).
% 4.14/1.15
% 4.14/1.15 cnf(c_172,negated_conjecture,
% 4.14/1.15 ($product_real(sK3,$to_real_int(sK2)) = sK1),
% 4.14/1.15 inference(theory_normalisation,
% 4.14/1.15 [status(thm)],
% 4.14/1.15 [c_113,c_73,c_74,c_84,c_85,c_55,c_56,c_66,c_67])).
% 4.14/1.15
% 4.14/1.15 cnf(c_615,plain,
% 4.14/1.15 (~$less_real($quotient_real(max(sK0,1.0),sK3),$quotient_real(sK1,sK3))),
% 4.14/1.15 inference(light_normalisation,[status(thm)],[c_169,c_172])).
% 4.14/1.15
% 4.14/1.15 cnf(c_1148,plain,($to_real_int(sK2) = sP0_iProver_def),definition).
% 4.14/1.15
% 4.14/1.15 cnf(c_1149,plain,
% 4.14/1.15 ($product_real(sK3,sP0_iProver_def) = sP1_iProver_def),
% 4.14/1.15 definition).
% 4.14/1.15
% 4.14/1.15 cnf(c_1151,plain,(max(sK0,1.0) = sP3_iProver_def),definition).
% 4.14/1.15
% 4.14/1.15 cnf(c_1152,plain,
% 4.14/1.15 ($quotient_real(sP3_iProver_def,sK3) = sP4_iProver_def),
% 4.14/1.15 definition).
% 4.14/1.15
% 4.14/1.15 cnf(c_1153,negated_conjecture,
% 4.14/1.15 (sP1_iProver_def = sK1),
% 4.14/1.15 inference(demodulation,[status(thm)],[c_172,c_1148,c_1149])).
% 4.14/1.15
% 4.14/1.15 cnf(c_1155,negated_conjecture,
% 4.14/1.15 ($less_real(0.0,sK3)),
% 4.14/1.15 inference(demodulation,[status(thm)],[c_115])).
% 4.14/1.15
% 4.14/1.15 cnf(c_1159,negated_conjecture,
% 4.14/1.15 ($less_real(sP4_iProver_def,sP0_iProver_def)),
% 4.14/1.15 inference(demodulation,[status(thm)],[c_107,c_1151,c_1152])).
% 4.14/1.15
% 4.14/1.15 cnf(c_2138,plain,
% 4.14/1.15 (~$less_real(sP4_iProver_def,$quotient_real(sP1_iProver_def,sK3))),
% 4.14/1.15 inference(light_normalisation,[status(thm)],[c_615,c_1151,c_1152,c_1153])).
% 4.14/1.15
% 4.14/1.15 cnf(c_2140,plain,
% 4.14/1.15 ($product_real(sP0_iProver_def,sK3) = sP1_iProver_def),
% 4.14/1.15 inference(theory_normalisation,
% 4.14/1.15 [status(thm)],
% 4.14/1.15 [c_1149,c_66,c_67,c_55,c_56,c_84,c_85,c_73,c_74])).
% 4.14/1.15
% 4.14/1.15 cnf(c_2882,plain,
% 4.14/1.15 ($quotient_real(sP1_iProver_def,sK3) = sP0_iProver_def|sK3 = 0.0),
% 4.14/1.15 inference(superposition,[status(thm)],[c_2140,c_49])).
% 4.14/1.15
% 4.14/1.15 cnf(c_5300,plain,
% 4.14/1.15 ($false),
% 4.14/1.15 inference(smt_impl_just,[status(thm)],[c_2882,c_2138,c_1159,c_1155])).
% 4.14/1.15
% 4.14/1.15
% 4.14/1.15 % SZS output end CNFRefutation for theBenchmark.p
% 4.14/1.15
% 4.14/1.16
%------------------------------------------------------------------------------