TSTP Solution File: PLA049_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : PLA049_1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 : Thu Aug 31 13:01:52 EDT 2023
% Result : Theorem 72.91s 10.15s
% Output : CNFRefutation 72.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PLA049_1 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n031.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 : Sun Aug 27 06:08:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running TFA theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 72.91/10.15 % SZS status Started for theBenchmark.p
% 72.91/10.15 % SZS status Theorem for theBenchmark.p
% 72.91/10.15
% 72.91/10.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 72.91/10.15
% 72.91/10.15 ------ iProver source info
% 72.91/10.15
% 72.91/10.15 git: date: 2023-05-31 18:12:56 +0000
% 72.91/10.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 72.91/10.15 git: non_committed_changes: false
% 72.91/10.15 git: last_make_outside_of_git: false
% 72.91/10.15
% 72.91/10.15 ------ Parsing...
% 72.91/10.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 72.91/10.15
% 72.91/10.15 ------ Preprocessing... sup_sim: 11 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
% 72.91/10.15
% 72.91/10.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 72.91/10.15
% 72.91/10.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 72.91/10.15 ------ Proving...
% 72.91/10.15 ------ Problem Properties
% 72.91/10.15
% 72.91/10.15
% 72.91/10.15 clauses 67
% 72.91/10.15 conjectures 43
% 72.91/10.15 EPR 20
% 72.91/10.15 Horn 54
% 72.91/10.15 unary 51
% 72.91/10.15 binary 7
% 72.91/10.15 lits 92
% 72.91/10.15 lits eq 45
% 72.91/10.15 fd_pure 0
% 72.91/10.15 fd_pseudo 0
% 72.91/10.15 fd_cond 0
% 72.91/10.15 fd_pseudo_cond 4
% 72.91/10.15 AC symbols 4
% 72.91/10.15
% 72.91/10.15 ------ Input Options Time Limit: Unbounded
% 72.91/10.15
% 72.91/10.15
% 72.91/10.15 ------
% 72.91/10.15 Current options:
% 72.91/10.15 ------
% 72.91/10.15
% 72.91/10.15
% 72.91/10.15
% 72.91/10.15
% 72.91/10.15 ------ Proving...
% 72.91/10.15
% 72.91/10.15
% 72.91/10.15 % SZS status Theorem for theBenchmark.p
% 72.91/10.15
% 72.91/10.15 % SZS output start CNFRefutation for theBenchmark.p
% 72.91/10.15
% 72.91/10.15 tff(f1,conjecture,(
% 72.91/10.15 ! [X0 : $real,X1 : $int,X2 : $int,X3 : $int] : (($lesseq(X0,10.0) & $lesseq(0.9,X0) & $lesseq($to_real(probsize),recexp(X0,probsize,4)) & $lesseq($product(X1,2),problen) & probsize = X3 & $lesseq(X3,10000) & $lesseq($product(X2,X2),X3) & problen = X2 & $lesseq(X2,50) & $lesseq(2,X2)) => $lesseq(X0,1.0))),
% 72.91/10.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tougher_local_search)).
% 72.91/10.15
% 72.91/10.15 tff(f2,negated_conjecture,(
% 72.91/10.15 ~! [X0 : $real,X1 : $int,X2 : $int,X3 : $int] : (($lesseq(X0,10.0) & $lesseq(0.9,X0) & $lesseq($to_real(probsize),recexp(X0,probsize,4)) & $lesseq($product(X1,2),problen) & probsize = X3 & $lesseq(X3,10000) & $lesseq($product(X2,X2),X3) & problen = X2 & $lesseq(X2,50) & $lesseq(2,X2)) => $lesseq(X0,1.0))),
% 72.91/10.15 inference(negated_conjecture,[],[f1])).
% 72.91/10.15
% 72.91/10.15 tff(f3,axiom,(
% 72.91/10.15 lk(0) = 1),
% 72.91/10.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lk_0)).
% 72.91/10.15
% 72.91/10.15 tff(f4,axiom,(
% 72.91/10.15 ! [X4 : $int] : (($lesseq(X4,problen) & $lesseq(1,X4)) => $lesseq(lk($difference(X4,1)),lk(X4)))),
% 72.91/10.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lk_n)).
% 72.91/10.15
% 72.91/10.15 tff(f5,axiom,(
% 72.91/10.15 ns(0) = $sum(lk(0),lk(1))),
% 72.91/10.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ns_0)).
% 72.91/10.15
% 72.91/10.15 tff(f8,axiom,(
% 72.91/10.15 ! [X5 : $real,X6 : $int,X1 : $int] : $product(dc(X5,X6,X1),$to_real($difference(X6,ns(X1)))) = $difference($to_real(X6),$product(X5,$to_real(ns(X1))))),
% 72.91/10.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dc)).
% 72.91/10.15
% 72.91/10.15 tff(f20,plain,(
% 72.91/10.15 ~! [X0 : $real,X1 : $int,X2 : $int,X3 : $int] : ((~$less(10.0,X0) & ~$less(X0,0.9) & ~$less(recexp(X0,probsize,4),$to_real(probsize)) & ~$less(problen,$product(X1,2)) & probsize = X3 & ~$less(10000,X3) & ~$less(X3,$product(X2,X2)) & problen = X2 & ~$less(50,X2) & ~$less(X2,2)) => ~$less(1.0,X0))),
% 72.91/10.15 inference(theory_normalization,[],[f2])).
% 72.91/10.15
% 72.91/10.15 tff(f21,plain,(
% 72.91/10.15 ! [X4 : $int] : ((~$less(problen,X4) & ~$less(X4,1)) => ~$less(lk(X4),lk($sum(X4,$uminus(1)))))),
% 72.91/10.15 inference(theory_normalization,[],[f4])).
% 72.91/10.15
% 72.91/10.15 tff(f24,plain,(
% 72.91/10.15 ! [X5 : $real,X6 : $int,X1 : $int] : $product(dc(X5,X6,X1),$to_real($sum(X6,$uminus(ns(X1))))) = $sum($to_real(X6),$uminus($product(X5,$to_real(ns(X1)))))),
% 72.91/10.15 inference(theory_normalization,[],[f8])).
% 72.91/10.15
% 72.91/10.15 tff(f31,plain,(
% 72.91/10.15 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 72.91/10.15 introduced(theory_axiom_138,[])).
% 72.91/10.15
% 72.91/10.15 tff(f32,plain,(
% 72.91/10.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 72.91/10.15 introduced(theory_axiom_139,[])).
% 72.91/10.15
% 72.91/10.15 tff(f33,plain,(
% 72.91/10.15 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 72.91/10.15 introduced(theory_axiom_140,[])).
% 72.91/10.15
% 72.91/10.15 tff(f35,plain,(
% 72.91/10.15 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 72.91/10.15 introduced(theory_axiom_143,[])).
% 72.91/10.15
% 72.91/10.15 tff(f37,plain,(
% 72.91/10.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 72.91/10.15 introduced(theory_axiom_146,[])).
% 72.91/10.15
% 72.91/10.15 tff(f40,plain,(
% 72.91/10.15 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 72.91/10.15 introduced(theory_axiom_150,[])).
% 72.91/10.15
% 72.91/10.15 tff(f42,plain,(
% 72.91/10.15 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 72.91/10.15 introduced(theory_axiom_138,[])).
% 72.91/10.15
% 72.91/10.15 tff(f43,plain,(
% 72.91/10.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 72.91/10.15 introduced(theory_axiom_139,[])).
% 72.91/10.15
% 72.91/10.15 tff(f49,plain,(
% 72.91/10.15 ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 72.91/10.15 introduced(theory_axiom_138,[])).
% 72.91/10.15
% 72.91/10.15 tff(f50,plain,(
% 72.91/10.15 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 72.91/10.15 introduced(theory_axiom_139,[])).
% 72.91/10.15
% 72.91/10.15 tff(f60,plain,(
% 72.91/10.15 ( ! [X0 : $real,X1 : $real] : ($product(X0,X1) = $product(X1,X0)) )),
% 72.91/10.15 introduced(theory_axiom_138,[])).
% 72.91/10.15
% 72.91/10.15 tff(f61,plain,(
% 72.91/10.15 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 72.91/10.15 introduced(theory_axiom_139,[])).
% 72.91/10.15
% 72.91/10.15 tff(f63,plain,(
% 72.91/10.15 ( ! [X0 : $real] : (0.0 = $product(X0,0.0)) )),
% 72.91/10.15 introduced(theory_axiom_152,[])).
% 72.91/10.15
% 72.91/10.15 tff(f66,plain,(
% 72.91/10.15 ! [X0 : $int] : ((~$less(problen,X0) & ~$less(X0,1)) => ~$less(lk(X0),lk($sum(X0,$uminus(1)))))),
% 72.91/10.15 inference(rectify,[],[f21])).
% 72.91/10.15
% 72.91/10.15 tff(f68,plain,(
% 72.91/10.15 ! [X0 : $real,X1 : $int,X2 : $int] : $product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) = $sum($to_real(X1),$uminus($product(X0,$to_real(ns(X2)))))),
% 72.91/10.15 inference(rectify,[],[f24])).
% 72.91/10.15
% 72.91/10.15 tff(f78,plain,(
% 72.91/10.15 ? [X0 : $real,X1 : $int,X2 : $int,X3 : $int] : ($less(1.0,X0) & (~$less(10.0,X0) & ~$less(X0,0.9) & ~$less(recexp(X0,probsize,4),$to_real(probsize)) & ~$less(problen,$product(X1,2)) & probsize = X3 & ~$less(10000,X3) & ~$less(X3,$product(X2,X2)) & problen = X2 & ~$less(50,X2) & ~$less(X2,2)))),
% 72.91/10.15 inference(ennf_transformation,[],[f20])).
% 72.91/10.15
% 72.91/10.15 tff(f79,plain,(
% 72.91/10.15 ? [X0 : $real,X1 : $int,X2 : $int,X3 : $int] : ($less(1.0,X0) & ~$less(10.0,X0) & ~$less(X0,0.9) & ~$less(recexp(X0,probsize,4),$to_real(probsize)) & ~$less(problen,$product(X1,2)) & probsize = X3 & ~$less(10000,X3) & ~$less(X3,$product(X2,X2)) & problen = X2 & ~$less(50,X2) & ~$less(X2,2))),
% 72.91/10.15 inference(flattening,[],[f78])).
% 72.91/10.15
% 72.91/10.15 tff(f80,plain,(
% 72.91/10.15 ! [X0 : $int] : (~$less(lk(X0),lk($sum(X0,$uminus(1)))) | ($less(problen,X0) | $less(X0,1)))),
% 72.91/10.15 inference(ennf_transformation,[],[f66])).
% 72.91/10.15
% 72.91/10.15 tff(f81,plain,(
% 72.91/10.15 ! [X0 : $int] : (~$less(lk(X0),lk($sum(X0,$uminus(1)))) | $less(problen,X0) | $less(X0,1))),
% 72.91/10.15 inference(flattening,[],[f80])).
% 72.91/10.15
% 72.91/10.15 tff(f90,plain,(
% 72.91/10.15 ? [X0 : $real,X1 : $int,X2 : $int,X3 : $int] : ($less(1.0,X0) & ~$less(10.0,X0) & ~$less(X0,0.9) & ~$less(recexp(X0,probsize,4),$to_real(probsize)) & ~$less(problen,$product(X1,2)) & probsize = X3 & ~$less(10000,X3) & ~$less(X3,$product(X2,X2)) & problen = X2 & ~$less(50,X2) & ~$less(X2,2)) => ($less(1.0,sK0) & ~$less(10.0,sK0) & ~$less(sK0,0.9) & ~$less(recexp(sK0,probsize,4),$to_real(probsize)) & ~$less(problen,$product(sK1,2)) & probsize = sK3 & ~$less(10000,sK3) & ~$less(sK3,$product(sK2,sK2)) & problen = sK2 & ~$less(50,sK2) & ~$less(sK2,2))),
% 72.91/10.15 introduced(choice_axiom,[])).
% 72.91/10.15
% 72.91/10.15 tff(f91,plain,(
% 72.91/10.15 $less(1.0,sK0) & ~$less(10.0,sK0) & ~$less(sK0,0.9) & ~$less(recexp(sK0,probsize,4),$to_real(probsize)) & ~$less(problen,$product(sK1,2)) & probsize = sK3 & ~$less(10000,sK3) & ~$less(sK3,$product(sK2,sK2)) & problen = sK2 & ~$less(50,sK2) & ~$less(sK2,2)),
% 72.91/10.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f79,f90])).
% 72.91/10.15
% 72.91/10.15 tff(f92,plain,(
% 72.91/10.15 ~$less(sK2,2)),
% 72.91/10.15 inference(cnf_transformation,[],[f91])).
% 72.91/10.15
% 72.91/10.15 tff(f94,plain,(
% 72.91/10.15 problen = sK2),
% 72.91/10.15 inference(cnf_transformation,[],[f91])).
% 72.91/10.15
% 72.91/10.15 tff(f103,plain,(
% 72.91/10.15 lk(0) = 1),
% 72.91/10.15 inference(cnf_transformation,[],[f3])).
% 72.91/10.15
% 72.91/10.15 tff(f104,plain,(
% 72.91/10.15 ( ! [X0 : $int] : (~$less(lk(X0),lk($sum(X0,$uminus(1)))) | $less(problen,X0) | $less(X0,1)) )),
% 72.91/10.15 inference(cnf_transformation,[],[f81])).
% 72.91/10.15
% 72.91/10.15 tff(f105,plain,(
% 72.91/10.15 ns(0) = $sum(lk(0),lk(1))),
% 72.91/10.15 inference(cnf_transformation,[],[f5])).
% 72.91/10.15
% 72.91/10.15 tff(f108,plain,(
% 72.91/10.15 ( ! [X2 : $int,X0 : $real,X1 : $int] : ($product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) = $sum($to_real(X1),$uminus($product(X0,$to_real(ns(X2)))))) )),
% 72.91/10.15 inference(cnf_transformation,[],[f68])).
% 72.91/10.15
% 72.91/10.15 tff(f122,plain,(
% 72.91/10.15 ( ! [X0 : $int] : (~$less(lk(X0),lk($sum(X0,$uminus(1)))) | $less(sK2,X0) | $less(X0,1)) )),
% 72.91/10.15 inference(definition_unfolding,[],[f104,f94])).
% 72.91/10.15
% 72.91/10.15 cnf(c_51,negated_conjecture,
% 72.91/10.15 ($product_real(X0_2,0.0) = 0.0),
% 72.91/10.15 inference(cnf_transformation,[],[f63])).
% 72.91/10.15
% 72.91/10.15 cnf(c_53,negated_conjecture,
% 72.91/10.15 ($product_real($product_real(X0_2,X1_2),X2_2) = $product_real(X0_2,$product_real(X1_2,X2_2))),
% 72.91/10.15 inference(cnf_transformation,[],[f61])).
% 72.91/10.15
% 72.91/10.15 cnf(c_54,negated_conjecture,
% 72.91/10.15 ($product_real(X0_2,X1_2) = $product_real(X1_2,X0_2)),
% 72.91/10.15 inference(cnf_transformation,[],[f60])).
% 72.91/10.15
% 72.91/10.15 cnf(c_64,negated_conjecture,
% 72.91/10.15 ($sum_real($sum_real(X0_2,X1_2),X2_2) = $sum_real(X0_2,$sum_real(X1_2,X2_2))),
% 72.91/10.15 inference(cnf_transformation,[],[f50])).
% 72.91/10.15
% 72.91/10.15 cnf(c_65,negated_conjecture,
% 72.91/10.15 ($sum_real(X0_2,X1_2) = $sum_real(X1_2,X0_2)),
% 72.91/10.15 inference(cnf_transformation,[],[f49])).
% 72.91/10.15
% 72.91/10.15 cnf(c_71,negated_conjecture,
% 72.91/10.15 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 72.91/10.15 inference(cnf_transformation,[],[f43])).
% 72.91/10.15
% 72.91/10.15 cnf(c_72,negated_conjecture,
% 72.91/10.15 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 72.91/10.15 inference(cnf_transformation,[],[f42])).
% 72.91/10.15
% 72.91/10.15 cnf(c_74,negated_conjecture,
% 72.91/10.15 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 72.91/10.15 inference(cnf_transformation,[],[f40])).
% 72.91/10.15
% 72.91/10.15 cnf(c_77,plain,
% 72.91/10.15 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 72.91/10.15 inference(cnf_transformation,[],[f37])).
% 72.91/10.15
% 72.91/10.15 cnf(c_79,negated_conjecture,
% 72.91/10.15 ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 72.91/10.15 inference(cnf_transformation,[],[f35])).
% 72.91/10.15
% 72.91/10.15 cnf(c_81,negated_conjecture,
% 72.91/10.15 ($sum_int(X0_3,0) = X0_3),
% 72.91/10.15 inference(cnf_transformation,[],[f33])).
% 72.91/10.15
% 72.91/10.15 cnf(c_82,negated_conjecture,
% 72.91/10.15 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 72.91/10.15 inference(cnf_transformation,[],[f32])).
% 72.91/10.15
% 72.91/10.15 cnf(c_83,negated_conjecture,
% 72.91/10.15 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 72.91/10.15 inference(cnf_transformation,[],[f31])).
% 72.91/10.15
% 72.91/10.15 cnf(c_92,negated_conjecture,
% 72.91/10.15 (~$less_int(sK2,2)),
% 72.91/10.15 inference(cnf_transformation,[],[f92])).
% 72.91/10.15
% 72.91/10.15 cnf(c_93,negated_conjecture,
% 72.91/10.15 (lk(0) = 1),
% 72.91/10.15 inference(cnf_transformation,[],[f103])).
% 72.91/10.15
% 72.91/10.15 cnf(c_94,negated_conjecture,
% 72.91/10.15 (~$less_int(lk(X0_3),lk($sum_int(X0_3,$uminus_int(1))))|$less_int(X0_3,1)|
% 72.91/10.15 $less_int(sK2,X0_3)),
% 72.91/10.15 inference(cnf_transformation,[],[f122])).
% 72.91/10.15
% 72.91/10.15 cnf(c_95,negated_conjecture,
% 72.91/10.15 ($sum_int(lk(0),lk(1)) = ns(0)),
% 72.91/10.15 inference(cnf_transformation,[],[f105])).
% 72.91/10.15
% 72.91/10.15 cnf(c_98,negated_conjecture,
% 72.91/10.15 ($product_real(dc(X0_2,X0_3,X1_3),$to_real_int($sum_int(X0_3,$uminus_int(ns(X1_3))))) = $sum_real($to_real_int(X0_3),$uminus_real($product_real(X0_2,$to_real_int(ns(X1_3)))))),
% 72.91/10.15 inference(cnf_transformation,[],[f108])).
% 72.91/10.15
% 72.91/10.15 cnf(c_111,plain,($less_int(1,2)),theory(arith)).
% 72.91/10.15
% 72.91/10.15 cnf(c_161,negated_conjecture,
% 72.91/10.15 ($sum_int(lk(1),lk(0)) = ns(0)),
% 72.91/10.15 inference(theory_normalisation,
% 72.91/10.15 [status(thm)],
% 72.91/10.15 [c_95,c_71,c_72,c_82,c_83,c_53,c_54,c_64,c_65])).
% 72.91/10.15
% 72.91/10.15 cnf(c_164,negated_conjecture,
% 72.91/10.15 ($product_real($to_real_int($sum_int(X0_3,$uminus_int(ns(X1_3)))),dc(X0_2,X0_3,X1_3)) = $sum_real($to_real_int(X0_3),$uminus_real($product_real(X0_2,$to_real_int(ns(X1_3)))))),
% 72.91/10.15 inference(theory_normalisation,
% 72.91/10.15 [status(thm)],
% 72.91/10.15 [c_98,c_71,c_72,c_82,c_83,c_53,c_54,c_64,c_65])).
% 72.91/10.15
% 72.91/10.15 cnf(c_490,plain,
% 72.91/10.15 ($sum_int(lk(1),1) = ns(0)),
% 72.91/10.15 inference(light_normalisation,[status(thm)],[c_161,c_93])).
% 72.91/10.15
% 72.91/10.15 cnf(c_491,plain,
% 72.91/10.15 ($sum_int(1,lk(1)) = ns(0)),
% 72.91/10.15 inference(theory_normalisation,
% 72.91/10.15 [status(thm)],
% 72.91/10.15 [c_490,c_64,c_65,c_53,c_54,c_82,c_83,c_71,c_72])).
% 72.91/10.15
% 72.91/10.15 cnf(c_524,plain,
% 72.91/10.15 (~$less_int(lk(X0_3),lk($sum_int(-1,X0_3)))|$less_int(X0_3,1)|$less_int(sK2,X0_3)),
% 72.91/10.15 inference(smt_theory_normalisation,[status(thm)],[c_94])).
% 72.91/10.15
% 72.91/10.15 cnf(c_2133,plain,
% 72.91/10.15 (~$less_int(lk($uminus_int(-1)),lk(0))|$less_int($uminus_int(-1),1)|
% 72.91/10.15 $less_int(sK2,$uminus_int(-1))),
% 72.91/10.15 inference(superposition,[status(thm)],[c_79,c_524])).
% 72.91/10.15
% 72.91/10.15 cnf(c_2570,plain,
% 72.91/10.15 (~$less_int(X0_3,2)|~$less_int(sK2,X0_3)|$less_int(sK2,2)),
% 72.91/10.15 inference(instantiation,[status(thm)],[c_77])).
% 72.91/10.15
% 72.91/10.15 cnf(c_2571,plain,
% 72.91/10.15 (~$less_int(sK2,1)|~$less_int(1,2)|$less_int(sK2,2)),
% 72.91/10.15 inference(instantiation,[status(thm)],[c_2570])).
% 72.91/10.15
% 72.91/10.15 cnf(c_5049,plain,
% 72.91/10.15 (~$less_int(lk(1),lk(0))|$less_int(sK2,1)),
% 72.91/10.15 inference(smt_theory_normalisation,[status(thm)],[c_2133])).
% 72.91/10.15
% 72.91/10.15 cnf(c_18264,plain,
% 72.91/10.15 ($sum_int(0,X0_3) = X0_3),
% 72.91/10.15 inference(superposition,[status(thm)],[c_81,c_83])).
% 72.91/10.15
% 72.91/10.15 cnf(c_18268,plain,
% 72.91/10.15 ($less_int(X0_3,$sum_int(1,X1_3))|$less_int(X1_3,X0_3)),
% 72.91/10.15 inference(superposition,[status(thm)],[c_83,c_74])).
% 72.91/10.15
% 72.91/10.15 cnf(c_18303,plain,
% 72.91/10.15 ($product_real(0.0,X0_2) = 0.0),
% 72.91/10.15 inference(superposition,[status(thm)],[c_54,c_51])).
% 72.91/10.15
% 72.91/10.15 cnf(c_18391,plain,
% 72.91/10.15 ($sum_int(X0_3,$sum_int($uminus_int(X0_3),X1_3)) = $sum_int(0,X1_3)),
% 72.91/10.15 inference(superposition,[status(thm)],[c_79,c_82])).
% 72.91/10.15
% 72.91/10.15 cnf(c_18424,plain,
% 72.91/10.15 (~$less_int(lk($uminus_int(-1)),lk(0))|$less_int($uminus_int(-1),1)|
% 72.91/10.15 $less_int(sK2,$uminus_int(-1))),
% 72.91/10.15 inference(superposition,[status(thm)],[c_79,c_524])).
% 72.91/10.15
% 72.91/10.15 cnf(c_18508,plain,
% 72.91/10.15 ($sum_real($to_real_int(ns(X0_3)),$uminus_real($product_real(X0_2,$to_real_int(ns(X0_3))))) = $product_real($to_real_int(0),dc(X0_2,ns(X0_3),X0_3))),
% 72.91/10.15 inference(superposition,[status(thm)],[c_79,c_164])).
% 72.91/10.15
% 72.91/10.15 cnf(c_18577,plain,
% 72.91/10.15 ($sum_int(X0_3,$sum_int($uminus_int(X0_3),X1_3)) = X1_3),
% 72.91/10.15 inference(demodulation,[status(thm)],[c_18391,c_18264])).
% 72.91/10.15
% 72.91/10.15 cnf(c_19155,plain,
% 72.91/10.15 ($less_int($sum_int($uminus_int(1),X0_3),X1_3)|$less_int(X1_3,X0_3)),
% 72.91/10.15 inference(superposition,[status(thm)],[c_18577,c_18268])).
% 72.91/10.15
% 72.91/10.15 cnf(c_21066,plain,
% 72.91/10.15 (~$less_int(lk(1),lk(0))|$less_int(sK2,1)),
% 72.91/10.15 inference(smt_theory_normalisation,[status(thm)],[c_18424])).
% 72.91/10.15
% 72.91/10.15 cnf(c_21067,plain,
% 72.91/10.15 (~$less_int(lk(1),lk(0))),
% 72.91/10.15 inference(global_subsumption_just,
% 72.91/10.15 [status(thm)],
% 72.91/10.15 [c_21066,c_111,c_92,c_2571,c_5049])).
% 72.91/10.15
% 72.91/10.15 cnf(c_21073,plain,
% 72.91/10.15 (~$less_int(lk(1),1)),
% 72.91/10.15 inference(superposition,[status(thm)],[c_93,c_21067])).
% 72.91/10.15
% 72.91/10.15 cnf(c_21503,plain,
% 72.91/10.15 ($sum_real($to_real_int(ns(X0_3)),$product_real(-1.0,$product_real(X0_2,$to_real_int(ns(X0_3))))) = 0.0),
% 72.91/10.15 inference(smt_theory_normalisation,[status(thm)],[c_18508])).
% 72.91/10.15
% 72.91/10.15 cnf(c_21515,plain,
% 72.91/10.15 ($sum_real($to_real_int(ns(X0_3)),$product_real(-1.0,0.0)) = 0.0),
% 72.91/10.15 inference(superposition,[status(thm)],[c_18303,c_21503])).
% 72.91/10.15
% 72.91/10.15 cnf(c_32876,plain,
% 72.91/10.15 ($less_int($sum_int(-1,X0_3),X1_3)|$less_int(X1_3,X0_3)),
% 72.91/10.15 inference(smt_theory_normalisation,[status(thm)],[c_19155])).
% 72.91/10.15
% 72.91/10.15 cnf(c_32937,plain,
% 72.91/10.15 ($less_int($sum_int(-1,1),lk(1))),
% 72.91/10.15 inference(superposition,[status(thm)],[c_32876,c_21073])).
% 72.91/10.15
% 72.91/10.15 cnf(c_35259,plain,
% 72.91/10.15 ($to_real_int(ns(X0_3)) = 0.0),
% 72.91/10.15 inference(smt_theory_normalisation,[status(thm)],[c_21515])).
% 72.91/10.15
% 72.91/10.15 cnf(c_35261,plain,
% 72.91/10.15 ($to_real_int($sum_int(1,lk(1))) = 0.0),
% 72.91/10.15 inference(superposition,[status(thm)],[c_491,c_35259])).
% 72.91/10.15
% 72.91/10.15 cnf(c_115140,plain,
% 72.91/10.15 ($false),
% 72.91/10.15 inference(smt_impl_just,[status(thm)],[c_35261,c_32937])).
% 72.91/10.15
% 72.91/10.15
% 72.91/10.15 % SZS output end CNFRefutation for theBenchmark.p
% 72.91/10.15
% 72.91/10.15
%------------------------------------------------------------------------------