TSTP Solution File: SWW650_2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW650_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 18:17:54 EDT 2024
% Result : Theorem 0.46s 1.14s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW650_2 : TPTP v8.2.0. Released v6.1.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 04:58:09 EDT 2024
% 0.12/0.34 % 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 --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.46/1.14 % SZS status Started for theBenchmark.p
% 0.46/1.14 % SZS status Theorem for theBenchmark.p
% 0.46/1.14
% 0.46/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.14
% 0.46/1.14 ------ iProver source info
% 0.46/1.14
% 0.46/1.14 git: date: 2024-06-12 09:56:46 +0000
% 0.46/1.14 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.46/1.14 git: non_committed_changes: false
% 0.46/1.14
% 0.46/1.14 ------ Parsing...
% 0.46/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.46/1.14
% 0.46/1.14 ------ Preprocessing... sup_sim: 3 sf_s rm: 18 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 9 0s sf_e pe_s pe_e
% 0.46/1.14
% 0.46/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.14
% 0.46/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.46/1.14 ------ Proving...
% 0.46/1.14 ------ Problem Properties
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14 clauses 39
% 0.46/1.14 conjectures 26
% 0.46/1.14 EPR 9
% 0.46/1.14 Horn 25
% 0.46/1.14 unary 21
% 0.46/1.14 binary 6
% 0.46/1.14 lits 80
% 0.46/1.14 lits eq 37
% 0.46/1.14 fd_pure 1
% 0.46/1.14 fd_pseudo 0
% 0.46/1.14 fd_cond 0
% 0.46/1.14 fd_pseudo_cond 3
% 0.46/1.14 AC symbols 2
% 0.46/1.14
% 0.46/1.14 ------ Input Options Time Limit: Unbounded
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14 ------
% 0.46/1.14 Current options:
% 0.46/1.14 ------
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14 ------ Proving...
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14 % SZS status Theorem for theBenchmark.p
% 0.46/1.14
% 0.46/1.14 % SZS output start CNFRefutation for theBenchmark.p
% 0.46/1.14
% 0.46/1.14 tff(f11,axiom,(
% 0.46/1.14 ! [X1 : t1] : f1(X1) = iter1(1,X1)),
% 0.46/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iter_1)).
% 0.46/1.14
% 0.46/1.14 tff(f12,axiom,(
% 0.46/1.14 ! [X8 : $int,X1 : t1] : ($less(0,X8) => iter1(X8,X1) = f1(iter1($difference(X8,1),X1)))),
% 0.46/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iter_s2)).
% 0.46/1.14
% 0.46/1.14 tff(f13,axiom,(
% 0.46/1.14 $lesseq(0,mu1)),
% 0.46/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mu_range)).
% 0.46/1.14
% 0.46/1.14 tff(f14,axiom,(
% 0.46/1.14 $lesseq(1,lambda1)),
% 0.46/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lambda_range)).
% 0.46/1.14
% 0.46/1.14 tff(f24,conjecture,(
% 0.46/1.14 ? [X14 : $int] : (! [X9 : $int] : (($less(X9,X14) & $lesseq(1,X9)) => iter1(X9,x01) != iter1($product(2,X9),x01)) & f1(f1(x01)) = iter1($product(2,X14),x01) & f1(x01) = iter1(X14,x01) & $lesseq(X14,$sum(mu1,lambda1)) & $lesseq(1,X14))),
% 0.46/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_tortoise_hare)).
% 0.46/1.14
% 0.46/1.14 tff(f25,negated_conjecture,(
% 0.46/1.14 ~? [X14 : $int] : (! [X9 : $int] : (($less(X9,X14) & $lesseq(1,X9)) => iter1(X9,x01) != iter1($product(2,X9),x01)) & f1(f1(x01)) = iter1($product(2,X14),x01) & f1(x01) = iter1(X14,x01) & $lesseq(X14,$sum(mu1,lambda1)) & $lesseq(1,X14))),
% 0.46/1.14 inference(negated_conjecture,[],[f24])).
% 0.46/1.14
% 0.46/1.14 tff(f28,plain,(
% 0.46/1.14 ! [X8 : $int,X1 : t1] : ($less(0,X8) => iter1(X8,X1) = f1(iter1($sum(X8,$uminus(1)),X1)))),
% 0.46/1.14 inference(theory_normalization,[],[f12])).
% 0.46/1.14
% 0.46/1.14 tff(f29,plain,(
% 0.46/1.14 ~$less(mu1,0)),
% 0.46/1.14 inference(theory_normalization,[],[f13])).
% 0.46/1.14
% 0.46/1.14 tff(f30,plain,(
% 0.46/1.14 ~$less(lambda1,1)),
% 0.46/1.14 inference(theory_normalization,[],[f14])).
% 0.46/1.14
% 0.46/1.14 tff(f36,plain,(
% 0.46/1.14 ~? [X14 : $int] : (! [X9 : $int] : (($less(X9,X14) & ~$less(X9,1)) => iter1(X9,x01) != iter1($product(2,X9),x01)) & f1(f1(x01)) = iter1($product(2,X14),x01) & f1(x01) = iter1(X14,x01) & ~$less($sum(mu1,lambda1),X14) & ~$less(X14,1))),
% 0.46/1.14 inference(theory_normalization,[],[f25])).
% 0.46/1.14
% 0.46/1.14 tff(f37,plain,(
% 0.46/1.14 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.46/1.14 introduced(theory_axiom_138,[])).
% 0.46/1.14
% 0.46/1.14 tff(f38,plain,(
% 0.46/1.14 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.46/1.14 introduced(theory_axiom_139,[])).
% 0.46/1.14
% 0.46/1.14 tff(f42,plain,(
% 0.46/1.14 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.46/1.14 introduced(theory_axiom_145,[])).
% 0.46/1.14
% 0.46/1.14 tff(f43,plain,(
% 0.46/1.14 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 0.46/1.14 introduced(theory_axiom_146,[])).
% 0.46/1.14
% 0.46/1.14 tff(f48,plain,(
% 0.46/1.14 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.46/1.14 introduced(theory_axiom_138,[])).
% 0.46/1.14
% 0.46/1.14 tff(f49,plain,(
% 0.46/1.14 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 0.46/1.14 introduced(theory_axiom_139,[])).
% 0.46/1.14
% 0.46/1.14 tff(f50,plain,(
% 0.46/1.14 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 0.46/1.14 introduced(theory_axiom_140,[])).
% 0.46/1.14
% 0.46/1.14 tff(f62,plain,(
% 0.46/1.14 ! [X0 : t1] : f1(X0) = iter1(1,X0)),
% 0.46/1.14 inference(rectify,[],[f11])).
% 0.46/1.14
% 0.46/1.14 tff(f63,plain,(
% 0.46/1.14 ! [X0 : $int,X1 : t1] : ($less(0,X0) => iter1(X0,X1) = f1(iter1($sum(X0,$uminus(1)),X1)))),
% 0.46/1.14 inference(rectify,[],[f28])).
% 0.46/1.14
% 0.46/1.14 tff(f71,plain,(
% 0.46/1.14 ~? [X0 : $int] : (! [X1 : $int] : (($less(X1,X0) & ~$less(X1,1)) => iter1(X1,x01) != iter1($product(2,X1),x01)) & f1(f1(x01)) = iter1($product(2,X0),x01) & f1(x01) = iter1(X0,x01) & ~$less($sum(mu1,lambda1),X0) & ~$less(X0,1))),
% 0.46/1.14 inference(rectify,[],[f36])).
% 0.46/1.14
% 0.46/1.14 tff(f77,plain,(
% 0.46/1.14 ! [X0 : $int,X1 : t1] : (iter1(X0,X1) = f1(iter1($sum(X0,$uminus(1)),X1)) | ~$less(0,X0))),
% 0.46/1.14 inference(ennf_transformation,[],[f63])).
% 0.46/1.14
% 0.46/1.14 tff(f86,plain,(
% 0.46/1.14 ! [X0 : $int] : (? [X1 : $int] : (iter1(X1,x01) = iter1($product(2,X1),x01) & ($less(X1,X0) & ~$less(X1,1))) | f1(f1(x01)) != iter1($product(2,X0),x01) | f1(x01) != iter1(X0,x01) | $less($sum(mu1,lambda1),X0) | $less(X0,1))),
% 0.46/1.14 inference(ennf_transformation,[],[f71])).
% 0.46/1.14
% 0.46/1.14 tff(f87,plain,(
% 0.46/1.14 ! [X0 : $int] : (? [X1 : $int] : (iter1(X1,x01) = iter1($product(2,X1),x01) & $less(X1,X0) & ~$less(X1,1)) | f1(f1(x01)) != iter1($product(2,X0),x01) | f1(x01) != iter1(X0,x01) | $less($sum(mu1,lambda1),X0) | $less(X0,1))),
% 0.46/1.14 inference(flattening,[],[f86])).
% 0.46/1.14
% 0.46/1.14 tff(f88,plain,(
% 0.46/1.14 ! [X0 : $int] : (? [X1 : $int] : (iter1(X1,x01) = iter1($product(2,X1),x01) & $less(X1,X0) & ~$less(X1,1)) => (iter1(sK0(X0),x01) = iter1($product(2,sK0(X0)),x01) & $less(sK0(X0),X0) & ~$less(sK0(X0),1)))),
% 0.46/1.14 introduced(choice_axiom,[])).
% 0.46/1.14
% 0.46/1.14 tff(f89,plain,(
% 0.46/1.14 ! [X0 : $int] : ((iter1(sK0(X0),x01) = iter1($product(2,sK0(X0)),x01) & $less(sK0(X0),X0) & ~$less(sK0(X0),1)) | f1(f1(x01)) != iter1($product(2,X0),x01) | f1(x01) != iter1(X0,x01) | $less($sum(mu1,lambda1),X0) | $less(X0,1))),
% 0.46/1.14 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f87,f88])).
% 0.46/1.14
% 0.46/1.14 tff(f100,plain,(
% 0.46/1.14 ( ! [X0 : t1] : (f1(X0) = iter1(1,X0)) )),
% 0.46/1.14 inference(cnf_transformation,[],[f62])).
% 0.46/1.14
% 0.46/1.14 tff(f101,plain,(
% 0.46/1.14 ( ! [X0 : $int,X1 : t1] : (iter1(X0,X1) = f1(iter1($sum(X0,$uminus(1)),X1)) | ~$less(0,X0)) )),
% 0.46/1.14 inference(cnf_transformation,[],[f77])).
% 0.46/1.14
% 0.46/1.14 tff(f102,plain,(
% 0.46/1.14 ~$less(mu1,0)),
% 0.46/1.14 inference(cnf_transformation,[],[f29])).
% 0.46/1.14
% 0.46/1.14 tff(f103,plain,(
% 0.46/1.14 ~$less(lambda1,1)),
% 0.46/1.14 inference(cnf_transformation,[],[f30])).
% 0.46/1.14
% 0.46/1.14 tff(f114,plain,(
% 0.46/1.14 ( ! [X0 : $int] : (~$less(sK0(X0),1) | f1(f1(x01)) != iter1($product(2,X0),x01) | f1(x01) != iter1(X0,x01) | $less($sum(mu1,lambda1),X0) | $less(X0,1)) )),
% 0.46/1.14 inference(cnf_transformation,[],[f89])).
% 0.46/1.14
% 0.46/1.14 tff(f115,plain,(
% 0.46/1.14 ( ! [X0 : $int] : ($less(sK0(X0),X0) | f1(f1(x01)) != iter1($product(2,X0),x01) | f1(x01) != iter1(X0,x01) | $less($sum(mu1,lambda1),X0) | $less(X0,1)) )),
% 0.46/1.14 inference(cnf_transformation,[],[f89])).
% 0.46/1.14
% 0.46/1.14 tff(f118,plain,(
% 0.46/1.14 ( ! [X0 : $int,X1 : t1] : (iter1(X0,X1) = iter1(1,iter1($sum(X0,$uminus(1)),X1)) | ~$less(0,X0)) )),
% 0.46/1.14 inference(definition_unfolding,[],[f101,f100])).
% 0.46/1.14
% 0.46/1.14 tff(f120,plain,(
% 0.46/1.14 ( ! [X0 : $int] : ($less(sK0(X0),X0) | iter1($product(2,X0),x01) != iter1(1,iter1(1,x01)) | iter1(X0,x01) != iter1(1,x01) | $less($sum(mu1,lambda1),X0) | $less(X0,1)) )),
% 0.46/1.14 inference(definition_unfolding,[],[f115,f100,f100,f100])).
% 0.46/1.14
% 0.46/1.14 tff(f121,plain,(
% 0.46/1.14 ( ! [X0 : $int] : (~$less(sK0(X0),1) | iter1($product(2,X0),x01) != iter1(1,iter1(1,x01)) | iter1(X0,x01) != iter1(1,x01) | $less($sum(mu1,lambda1),X0) | $less(X0,1)) )),
% 0.46/1.14 inference(definition_unfolding,[],[f114,f100,f100,f100])).
% 0.46/1.14
% 0.46/1.14 cnf(c_53,negated_conjecture,
% 0.46/1.14 ($product_int(X0_3,1) = X0_3),
% 0.46/1.14 inference(cnf_transformation,[],[f50])).
% 0.46/1.14
% 0.46/1.14 cnf(c_54,negated_conjecture,
% 0.46/1.14 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 0.46/1.14 inference(cnf_transformation,[],[f49])).
% 0.46/1.14
% 0.46/1.14 cnf(c_55,negated_conjecture,
% 0.46/1.14 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 0.46/1.14 inference(cnf_transformation,[],[f48])).
% 0.46/1.14
% 0.46/1.14 cnf(c_60,plain,
% 0.46/1.14 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 0.46/1.14 inference(cnf_transformation,[],[f43])).
% 0.46/1.14
% 0.46/1.14 cnf(c_61,negated_conjecture,
% 0.46/1.14 (~$less_int(X0_3,X0_3)),
% 0.46/1.14 inference(cnf_transformation,[],[f42])).
% 0.46/1.14
% 0.46/1.14 cnf(c_65,negated_conjecture,
% 0.46/1.14 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 0.46/1.14 inference(cnf_transformation,[],[f38])).
% 0.46/1.14
% 0.46/1.14 cnf(c_66,negated_conjecture,
% 0.46/1.14 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 0.46/1.14 inference(cnf_transformation,[],[f37])).
% 0.46/1.14
% 0.46/1.14 cnf(c_77,plain,
% 0.46/1.14 (~$less_int(0,X0_3)|iter1(1,iter1($sum_int(X0_3,$uminus_int(1)),X0_17)) = iter1(X0_3,X0_17)),
% 0.46/1.14 inference(cnf_transformation,[],[f118])).
% 0.46/1.14
% 0.46/1.14 cnf(c_78,negated_conjecture,
% 0.46/1.14 (~$less_int(mu1,0)),
% 0.46/1.14 inference(cnf_transformation,[],[f102])).
% 0.46/1.14
% 0.46/1.14 cnf(c_79,negated_conjecture,
% 0.46/1.14 (~$less_int(lambda1,1)),
% 0.46/1.14 inference(cnf_transformation,[],[f103])).
% 0.46/1.14
% 0.46/1.14 cnf(c_91,negated_conjecture,
% 0.46/1.14 (iter1($product_int(2,X0_3),x01) != iter1(1,iter1(1,x01))|iter1(X0_3,x01) != iter1(1,x01)|
% 0.46/1.14 $less_int($sum_int(mu1,lambda1),X0_3)|$less_int(sK0(X0_3),X0_3)|$less_int(X0_3,1)),
% 0.46/1.14 inference(cnf_transformation,[],[f120])).
% 0.46/1.14
% 0.46/1.14 cnf(c_92,negated_conjecture,
% 0.46/1.14 (iter1($product_int(2,X0_3),x01) != iter1(1,iter1(1,x01))|iter1(X0_3,x01) != iter1(1,x01)|
% 0.46/1.14 ~$less_int(sK0(X0_3),1)|$less_int($sum_int(mu1,lambda1),X0_3)|$less_int(X0_3,1)),
% 0.46/1.14 inference(cnf_transformation,[],[f121])).
% 0.46/1.14
% 0.46/1.14 cnf(c_93,plain,($less_int(0,1)),theory(arith)).
% 0.46/1.14
% 0.46/1.14 cnf(c_94,plain,($less_int(1,2)),theory(arith)).
% 0.46/1.14
% 0.46/1.14 cnf(c_147,plain,
% 0.46/1.14 (~$less_int(0,X0_3)|iter1(1,iter1($sum_int(X0_3,$uminus_int(1)),X0_17)) = iter1(X0_3,X0_17)),
% 0.46/1.14 inference(prop_impl_just,[status(thm)],[c_77])).
% 0.46/1.14
% 0.46/1.14 cnf(c_484,plain,
% 0.46/1.14 (~$less_int(0,X0_3)|iter1(1,iter1($sum_int(-1,X0_3),X0_17)) = iter1(X0_3,X0_17)),
% 0.46/1.14 inference(smt_theory_normalisation,[status(thm)],[c_147])).
% 0.46/1.14
% 0.46/1.14 cnf(c_590,plain,
% 0.46/1.14 (~$less_int(0,X0_3)|iter1(1,iter1($sum_int(-1,X0_3),X0_17)) = iter1(X0_3,X0_17)),
% 0.46/1.14 inference(prop_impl_just,[status(thm)],[c_484])).
% 0.46/1.14
% 0.46/1.14 cnf(c_947,plain,(iter1(1,x01) = sP0_iProver_def),definition).
% 0.46/1.14
% 0.46/1.14 cnf(c_948,plain,(iter1(1,sP0_iProver_def) = sP1_iProver_def),definition).
% 0.46/1.14
% 0.46/1.14 cnf(c_949,plain,($sum_int(mu1,lambda1) = sP2_iProver_def),definition).
% 0.46/1.14
% 0.46/1.14 cnf(c_950,negated_conjecture,
% 0.46/1.14 (iter1($product_int(2,X0_3),x01) != sP1_iProver_def|iter1(X0_3,x01) != sP0_iProver_def|
% 0.46/1.14 ~$less_int(sK0(X0_3),1)|$less_int(X0_3,1)|$less_int(sP2_iProver_def,X0_3)),
% 0.46/1.14 inference(demodulation,[status(thm)],[c_92,c_949,c_947,c_948])).
% 0.46/1.14
% 0.46/1.14 cnf(c_951,negated_conjecture,
% 0.46/1.14 (iter1($product_int(2,X0_3),x01) != sP1_iProver_def|iter1(X0_3,x01) != sP0_iProver_def|
% 0.46/1.14 $less_int(sK0(X0_3),X0_3)|$less_int(X0_3,1)|$less_int(sP2_iProver_def,X0_3)),
% 0.46/1.14 inference(demodulation,[status(thm)],[c_91])).
% 0.46/1.14
% 0.46/1.14 cnf(c_956,negated_conjecture,
% 0.46/1.14 (~$less_int(lambda1,1)),
% 0.46/1.14 inference(demodulation,[status(thm)],[c_79])).
% 0.46/1.14
% 0.46/1.14 cnf(c_957,negated_conjecture,
% 0.46/1.14 (~$less_int(mu1,0)),
% 0.46/1.14 inference(demodulation,[status(thm)],[c_78])).
% 0.46/1.14
% 0.46/1.14 cnf(c_961,negated_conjecture,
% 0.46/1.14 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 0.46/1.14 inference(demodulation,[status(thm)],[c_66])).
% 0.46/1.14
% 0.46/1.14 cnf(c_962,negated_conjecture,
% 0.46/1.14 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 0.46/1.14 inference(demodulation,[status(thm)],[c_65])).
% 0.46/1.14
% 0.46/1.14 cnf(c_966,negated_conjecture,
% 0.46/1.14 (~$less_int(X0_3,X0_3)),
% 0.46/1.14 inference(demodulation,[status(thm)],[c_61])).
% 0.46/1.14
% 0.46/1.14 cnf(c_970,negated_conjecture,
% 0.46/1.14 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 0.46/1.14 inference(demodulation,[status(thm)],[c_55])).
% 0.46/1.14
% 0.46/1.14 cnf(c_971,negated_conjecture,
% 0.46/1.14 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 0.46/1.14 inference(demodulation,[status(thm)],[c_54])).
% 0.46/1.14
% 0.46/1.14 cnf(c_972,negated_conjecture,
% 0.46/1.14 ($product_int(X0_3,1) = X0_3),
% 0.46/1.14 inference(demodulation,[status(thm)],[c_53])).
% 0.46/1.14
% 0.46/1.14 cnf(c_1636,plain,
% 0.46/1.14 ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 0.46/1.14 inference(superposition,[status(thm)],[c_962,c_961])).
% 0.46/1.14
% 0.46/1.14 cnf(c_2769,plain,
% 0.46/1.14 (~$less_int(1,X0_3)|$less_int(0,X0_3)),
% 0.46/1.14 inference(superposition,[status(thm)],[c_93,c_60])).
% 0.46/1.14
% 0.46/1.14 cnf(c_3560,plain,
% 0.46/1.14 ($less_int(0,2)),
% 0.46/1.14 inference(superposition,[status(thm)],[c_94,c_2769])).
% 0.46/1.14
% 0.46/1.14 cnf(c_3781,plain,
% 0.46/1.14 (iter1(1,iter1($sum_int(-1,2),X0_17)) = iter1(2,X0_17)),
% 0.46/1.14 inference(superposition,[status(thm)],[c_3560,c_590])).
% 0.46/1.14
% 0.46/1.14 cnf(c_3883,plain,
% 0.46/1.14 (iter1(1,iter1($sum_int(2,-1),X0_17)) = iter1(2,X0_17)),
% 0.46/1.14 inference(theory_normalisation,
% 0.46/1.14 [status(thm)],
% 0.46/1.14 [c_3781,c_962,c_961,c_971,c_970])).
% 0.46/1.14
% 0.46/1.14 cnf(c_4679,plain,
% 0.46/1.14 (iter1(1,x01) != sP0_iProver_def|iter1(2,x01) != sP1_iProver_def|
% 0.46/1.14 $less_int(sK0(1),1)|$less_int(1,1)|$less_int(sP2_iProver_def,1)),
% 0.46/1.14 inference(superposition,[status(thm)],[c_972,c_951])).
% 0.46/1.14
% 0.46/1.14 cnf(c_4680,plain,
% 0.46/1.14 (iter1(1,x01) != sP0_iProver_def|iter1(2,x01) != sP1_iProver_def|
% 0.46/1.14 ~$less_int(sK0(1),1)|$less_int(1,1)|$less_int(sP2_iProver_def,1)),
% 0.46/1.14 inference(superposition,[status(thm)],[c_972,c_950])).
% 0.46/1.14
% 0.46/1.14 cnf(c_4783,plain,
% 0.46/1.14 (iter1(2,x01) != sP1_iProver_def|$less_int(sK0(1),1)|$less_int(sP2_iProver_def,1)),
% 0.46/1.14 inference(forward_subsumption_resolution,
% 0.46/1.14 [status(thm)],
% 0.46/1.14 [c_4679,c_966,c_947])).
% 0.46/1.14
% 0.46/1.14 cnf(c_4798,plain,
% 0.46/1.14 (iter1(1,x01) != sP0_iProver_def|iter1(2,x01) != sP1_iProver_def|
% 0.46/1.14 $less_int(1,1)|$less_int(sP2_iProver_def,1)),
% 0.46/1.14 inference(forward_subsumption_resolution,[status(thm)],[c_4680,c_4783])).
% 0.46/1.14
% 0.46/1.14 cnf(c_4799,plain,
% 0.46/1.14 (iter1(2,x01) != sP1_iProver_def|$less_int(sP2_iProver_def,1)),
% 0.46/1.14 inference(forward_subsumption_resolution,
% 0.46/1.14 [status(thm)],
% 0.46/1.14 [c_4798,c_966,c_947])).
% 0.46/1.14
% 0.46/1.14 cnf(c_5827,plain,
% 0.46/1.14 (iter1(1,iter1(1,X0_17)) = iter1(2,X0_17)),
% 0.46/1.14 inference(smt_theory_normalisation,[status(thm)],[c_3883])).
% 0.46/1.14
% 0.46/1.14 cnf(c_5835,plain,
% 0.46/1.14 (iter1(1,iter1(1,x01)) != sP1_iProver_def|$less_int(sP2_iProver_def,1)),
% 0.46/1.14 inference(superposition,[status(thm)],[c_5827,c_4799])).
% 0.46/1.14
% 0.46/1.14 cnf(c_5851,plain,
% 0.46/1.14 (sP1_iProver_def != sP1_iProver_def|$less_int(sP2_iProver_def,1)),
% 0.46/1.14 inference(light_normalisation,[status(thm)],[c_5835,c_947,c_948])).
% 0.46/1.14
% 0.46/1.14 cnf(c_5852,plain,
% 0.46/1.14 ($less_int(sP2_iProver_def,1)),
% 0.46/1.14 inference(equality_resolution_simp,[status(thm)],[c_5851])).
% 0.46/1.14
% 0.46/1.14 cnf(c_6201,plain,
% 0.46/1.14 (iter1(1,x01) != sP0_iProver_def|iter1(2,x01) != sP1_iProver_def|
% 0.46/1.14 $less_int(sK0(1),1)|$less_int(1,1)|$less_int(sP2_iProver_def,1)),
% 0.46/1.14 inference(superposition,[status(thm)],[c_972,c_951])).
% 0.46/1.14
% 0.46/1.14 cnf(c_6202,plain,
% 0.46/1.14 (iter1(1,x01) != sP0_iProver_def|iter1(2,x01) != sP1_iProver_def|
% 0.46/1.14 ~$less_int(sK0(1),1)|$less_int(1,1)|$less_int(sP2_iProver_def,1)),
% 0.46/1.14 inference(superposition,[status(thm)],[c_972,c_950])).
% 0.46/1.14
% 0.46/1.14 cnf(c_6305,plain,
% 0.46/1.14 (iter1(2,x01) != sP1_iProver_def|$less_int(sK0(1),1)|$less_int(sP2_iProver_def,1)),
% 0.46/1.14 inference(forward_subsumption_resolution,
% 0.46/1.14 [status(thm)],
% 0.46/1.14 [c_6201,c_966,c_947])).
% 0.46/1.14
% 0.46/1.14 cnf(c_6320,plain,
% 0.46/1.14 (iter1(1,x01) != sP0_iProver_def|iter1(2,x01) != sP1_iProver_def|
% 0.46/1.14 $less_int(1,1)|$less_int(sP2_iProver_def,1)),
% 0.46/1.14 inference(forward_subsumption_resolution,[status(thm)],[c_6202,c_6305])).
% 0.46/1.14
% 0.46/1.14 cnf(c_6321,plain,
% 0.46/1.14 (iter1(2,x01) != sP1_iProver_def|$less_int(sP2_iProver_def,1)),
% 0.46/1.14 inference(forward_subsumption_resolution,
% 0.46/1.14 [status(thm)],
% 0.46/1.14 [c_6320,c_966,c_947])).
% 0.46/1.14
% 0.46/1.14 cnf(c_6381,plain,
% 0.46/1.14 ($less_int(sP2_iProver_def,1)),
% 0.46/1.14 inference(global_subsumption_just,[status(thm)],[c_6321,c_5852])).
% 0.46/1.14
% 0.46/1.14 cnf(c_6439,plain,
% 0.46/1.14 ($sum_int(mu1,$sum_int(X0_3,lambda1)) = $sum_int(X0_3,sP2_iProver_def)),
% 0.46/1.14 inference(superposition,[status(thm)],[c_949,c_1636])).
% 0.46/1.14
% 0.46/1.14 cnf(c_10590,plain,
% 0.46/1.14 ($false),
% 0.46/1.14 inference(smt_impl_just,[status(thm)],[c_6381,c_6439,c_956,c_957])).
% 0.46/1.14
% 0.46/1.14
% 0.46/1.14 % SZS output end CNFRefutation for theBenchmark.p
% 0.46/1.14
% 0.46/1.15
%------------------------------------------------------------------------------