TSTP Solution File: PLA048_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : PLA048_1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 : Fri May 3 02:53:57 EDT 2024
% Result : Theorem 277.30s 35.80s
% Output : CNFRefutation 277.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PLA048_1 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n024.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 : Thu May 2 21:29:51 EDT 2024
% 0.14/0.35 % 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
% 277.30/35.80 % SZS status Started for theBenchmark.p
% 277.30/35.80 % SZS status Theorem for theBenchmark.p
% 277.30/35.80
% 277.30/35.80 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 277.30/35.80
% 277.30/35.80 ------ iProver source info
% 277.30/35.80
% 277.30/35.80 git: date: 2024-05-02 19:28:25 +0000
% 277.30/35.80 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 277.30/35.80 git: non_committed_changes: false
% 277.30/35.80
% 277.30/35.80 ------ Parsing...
% 277.30/35.80 ------ Clausification by vclausify_rel & Parsing by iProver...
% 277.30/35.80
% 277.30/35.80 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 277.30/35.80
% 277.30/35.80 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 277.30/35.80
% 277.30/35.80 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 277.30/35.80 ------ Proving...
% 277.30/35.80 ------ Problem Properties
% 277.30/35.80
% 277.30/35.80
% 277.30/35.80 clauses 56
% 277.30/35.80 conjectures 42
% 277.30/35.80 EPR 15
% 277.30/35.80 Horn 44
% 277.30/35.80 unary 39
% 277.30/35.80 binary 9
% 277.30/35.80 lits 81
% 277.30/35.80 lits eq 37
% 277.30/35.80 fd_pure 0
% 277.30/35.80 fd_pseudo 0
% 277.30/35.80 fd_cond 0
% 277.30/35.80 fd_pseudo_cond 3
% 277.30/35.80 AC symbols 3
% 277.30/35.80
% 277.30/35.80 ------ Input Options Time Limit: Unbounded
% 277.30/35.80
% 277.30/35.80
% 277.30/35.80 ------
% 277.30/35.80 Current options:
% 277.30/35.80 ------
% 277.30/35.80
% 277.30/35.80
% 277.30/35.80
% 277.30/35.80
% 277.30/35.80 ------ Proving...
% 277.30/35.80
% 277.30/35.80
% 277.30/35.80 % SZS status Theorem for theBenchmark.p
% 277.30/35.80
% 277.30/35.80 % SZS output start CNFRefutation for theBenchmark.p
% 277.30/35.80
% 277.30/35.80 tff(f3,axiom,(
% 277.30/35.80 lk(0) = 1),
% 277.30/35.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lk_0)).
% 277.30/35.80
% 277.30/35.80 tff(f5,axiom,(
% 277.30/35.80 ns(0) = $sum(lk(0),lk(1))),
% 277.30/35.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ns_0)).
% 277.30/35.80
% 277.30/35.80 tff(f8,axiom,(
% 277.30/35.80 ! [X2 : $real,X3 : $int,X4 : $int] : $product(dc(X2,X3,X4),$to_real($difference(X3,ns(X4)))) = $difference($to_real(X3),$product(X2,$to_real(ns(X4))))),
% 277.30/35.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dc)).
% 277.30/35.80
% 277.30/35.80 tff(f10,axiom,(
% 277.30/35.80 ! [X2 : $real,X3 : $int,X4 : $int] : ($lesseq(1,X4) => $product($to_real(X3),imp(X2,X3,X4)) = $sum($product(X2,$to_real(lk($difference(X4,1)))),mysump(X2,X3,X4,$difference(X4,2))))),
% 277.30/35.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',imp_n)).
% 277.30/35.80
% 277.30/35.80 tff(f11,axiom,(
% 277.30/35.80 ! [X2 : $real,X3 : $int,X4 : $int] : 0.0 = mysump(X2,X3,X4,0)),
% 277.30/35.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mysump_0)).
% 277.30/35.80
% 277.30/35.80 tff(f12,axiom,(
% 277.30/35.80 ! [X2 : $real,X3 : $int,X4 : $int,X1 : $int] : ($lesseq(1,X1) => mysump(X2,X3,X4,X1) = $sum($product(dc(X2,X3,X4),$to_real(lk(X1))),mysump(X2,X3,X4,$difference(X1,1))))),
% 277.30/35.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mysump_n)).
% 277.30/35.80
% 277.30/35.80 tff(f24,plain,(
% 277.30/35.80 ! [X2 : $real,X3 : $int,X4 : $int] : $product(dc(X2,X3,X4),$to_real($sum(X3,$uminus(ns(X4))))) = $sum($to_real(X3),$uminus($product(X2,$to_real(ns(X4)))))),
% 277.30/35.80 inference(theory_normalization,[],[f8])).
% 277.30/35.80
% 277.30/35.80 tff(f25,plain,(
% 277.30/35.80 ! [X2 : $real,X3 : $int,X4 : $int] : (~$less(X4,1) => $product($to_real(X3),imp(X2,X3,X4)) = $sum($product(X2,$to_real(lk($sum(X4,$uminus(1))))),mysump(X2,X3,X4,$sum(X4,$uminus(2)))))),
% 277.30/35.80 inference(theory_normalization,[],[f10])).
% 277.30/35.80
% 277.30/35.80 tff(f26,plain,(
% 277.30/35.80 ! [X2 : $real,X3 : $int,X4 : $int,X1 : $int] : (~$less(X1,1) => mysump(X2,X3,X4,X1) = $sum($product(dc(X2,X3,X4),$to_real(lk(X1))),mysump(X2,X3,X4,$sum(X1,$uminus(1)))))),
% 277.30/35.80 inference(theory_normalization,[],[f12])).
% 277.30/35.80
% 277.30/35.80 tff(f31,plain,(
% 277.30/35.80 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 277.30/35.80 introduced(theory_axiom_138,[])).
% 277.30/35.80
% 277.30/35.80 tff(f32,plain,(
% 277.30/35.80 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 277.30/35.80 introduced(theory_axiom_139,[])).
% 277.30/35.80
% 277.30/35.80 tff(f35,plain,(
% 277.30/35.80 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 277.30/35.80 introduced(theory_axiom_143,[])).
% 277.30/35.80
% 277.30/35.80 tff(f36,plain,(
% 277.30/35.80 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 277.30/35.80 introduced(theory_axiom_145,[])).
% 277.30/35.80
% 277.30/35.80 tff(f37,plain,(
% 277.30/35.80 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 277.30/35.80 introduced(theory_axiom_146,[])).
% 277.30/35.80
% 277.30/35.80 tff(f43,plain,(
% 277.30/35.80 ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 277.30/35.80 introduced(theory_axiom_138,[])).
% 277.30/35.80
% 277.30/35.80 tff(f44,plain,(
% 277.30/35.80 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 277.30/35.80 introduced(theory_axiom_139,[])).
% 277.30/35.80
% 277.30/35.80 tff(f45,plain,(
% 277.30/35.80 ( ! [X0 : $real] : ($sum(X0,0.0) = X0) )),
% 277.30/35.80 introduced(theory_axiom_140,[])).
% 277.30/35.80
% 277.30/35.80 tff(f48,plain,(
% 277.30/35.80 ( ! [X0 : $real] : (~$less(X0,X0)) )),
% 277.30/35.80 introduced(theory_axiom_145,[])).
% 277.30/35.80
% 277.30/35.80 tff(f49,plain,(
% 277.30/35.80 ( ! [X2 : $real,X0 : $real,X1 : $real] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 277.30/35.80 introduced(theory_axiom_146,[])).
% 277.30/35.80
% 277.30/35.80 tff(f50,plain,(
% 277.30/35.80 ( ! [X0 : $real,X1 : $real] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 277.30/35.80 introduced(theory_axiom_147,[])).
% 277.30/35.80
% 277.30/35.80 tff(f54,plain,(
% 277.30/35.80 ( ! [X0 : $real,X1 : $real] : ($product(X0,X1) = $product(X1,X0)) )),
% 277.30/35.80 introduced(theory_axiom_138,[])).
% 277.30/35.80
% 277.30/35.80 tff(f55,plain,(
% 277.30/35.80 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 277.30/35.80 introduced(theory_axiom_139,[])).
% 277.30/35.80
% 277.30/35.80 tff(f56,plain,(
% 277.30/35.80 ( ! [X0 : $real] : ($product(X0,1.0) = X0) )),
% 277.30/35.80 introduced(theory_axiom_140,[])).
% 277.30/35.80
% 277.30/35.80 tff(f57,plain,(
% 277.30/35.80 ( ! [X0 : $real] : (0.0 = $product(X0,0.0)) )),
% 277.30/35.80 introduced(theory_axiom_152,[])).
% 277.30/35.80
% 277.30/35.80 tff(f58,plain,(
% 277.30/35.80 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 277.30/35.80 introduced(theory_axiom_153,[])).
% 277.30/35.80
% 277.30/35.80 tff(f62,plain,(
% 277.30/35.80 ! [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)))))),
% 277.30/35.80 inference(rectify,[],[f24])).
% 277.30/35.80
% 277.30/35.80 tff(f64,plain,(
% 277.30/35.80 ! [X0 : $real,X1 : $int,X2 : $int] : (~$less(X2,1) => $product($to_real(X1),imp(X0,X1,X2)) = $sum($product(X0,$to_real(lk($sum(X2,$uminus(1))))),mysump(X0,X1,X2,$sum(X2,$uminus(2)))))),
% 277.30/35.80 inference(rectify,[],[f25])).
% 277.30/35.80
% 277.30/35.80 tff(f65,plain,(
% 277.30/35.80 ! [X0 : $real,X1 : $int,X2 : $int] : 0.0 = mysump(X0,X1,X2,0)),
% 277.30/35.80 inference(rectify,[],[f11])).
% 277.30/35.80
% 277.30/35.80 tff(f66,plain,(
% 277.30/35.80 ! [X0 : $real,X1 : $int,X2 : $int,X3 : $int] : (~$less(X3,1) => mysump(X0,X1,X2,X3) = $sum($product(dc(X0,X1,X2),$to_real(lk(X3))),mysump(X0,X1,X2,$sum(X3,$uminus(1)))))),
% 277.30/35.80 inference(rectify,[],[f26])).
% 277.30/35.80
% 277.30/35.80 tff(f78,plain,(
% 277.30/35.80 ! [X0 : $real,X1 : $int,X2 : $int] : ($product($to_real(X1),imp(X0,X1,X2)) = $sum($product(X0,$to_real(lk($sum(X2,$uminus(1))))),mysump(X0,X1,X2,$sum(X2,$uminus(2)))) | $less(X2,1))),
% 277.30/35.80 inference(ennf_transformation,[],[f64])).
% 277.30/35.80
% 277.30/35.80 tff(f79,plain,(
% 277.30/35.80 ! [X0 : $real,X1 : $int,X2 : $int,X3 : $int] : (mysump(X0,X1,X2,X3) = $sum($product(dc(X0,X1,X2),$to_real(lk(X3))),mysump(X0,X1,X2,$sum(X3,$uminus(1)))) | $less(X3,1))),
% 277.30/35.80 inference(ennf_transformation,[],[f66])).
% 277.30/35.80
% 277.30/35.80 tff(f90,plain,(
% 277.30/35.80 lk(0) = 1),
% 277.30/35.80 inference(cnf_transformation,[],[f3])).
% 277.30/35.80
% 277.30/35.80 tff(f92,plain,(
% 277.30/35.80 ns(0) = $sum(lk(0),lk(1))),
% 277.30/35.80 inference(cnf_transformation,[],[f5])).
% 277.30/35.80
% 277.30/35.80 tff(f95,plain,(
% 277.30/35.80 ( ! [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)))))) )),
% 277.30/35.80 inference(cnf_transformation,[],[f62])).
% 277.30/35.80
% 277.30/35.80 tff(f97,plain,(
% 277.30/35.80 ( ! [X2 : $int,X0 : $real,X1 : $int] : ($product($to_real(X1),imp(X0,X1,X2)) = $sum($product(X0,$to_real(lk($sum(X2,$uminus(1))))),mysump(X0,X1,X2,$sum(X2,$uminus(2)))) | $less(X2,1)) )),
% 277.30/35.80 inference(cnf_transformation,[],[f78])).
% 277.30/35.80
% 277.30/35.80 tff(f98,plain,(
% 277.30/35.80 ( ! [X2 : $int,X0 : $real,X1 : $int] : (0.0 = mysump(X0,X1,X2,0)) )),
% 277.30/35.80 inference(cnf_transformation,[],[f65])).
% 277.30/35.80
% 277.30/35.80 tff(f99,plain,(
% 277.30/35.80 ( ! [X2 : $int,X3 : $int,X0 : $real,X1 : $int] : (mysump(X0,X1,X2,X3) = $sum($product(dc(X0,X1,X2),$to_real(lk(X3))),mysump(X0,X1,X2,$sum(X3,$uminus(1)))) | $less(X3,1)) )),
% 277.30/35.80 inference(cnf_transformation,[],[f79])).
% 277.30/35.80
% 277.30/35.80 cnf(c_50,negated_conjecture,
% 277.30/35.80 ($sum_real($product_real(X0_2,X1_2),$product_real(X0_2,X2_2)) = $product_real(X0_2,$sum_real(X1_2,X2_2))),
% 277.30/35.80 inference(cnf_transformation,[],[f58])).
% 277.30/35.80
% 277.30/35.80 cnf(c_51,negated_conjecture,
% 277.30/35.80 ($product_real(X0_2,0.0) = 0.0),
% 277.30/35.80 inference(cnf_transformation,[],[f57])).
% 277.30/35.80
% 277.30/35.80 cnf(c_52,negated_conjecture,
% 277.30/35.80 ($product_real(X0_2,1.0) = X0_2),
% 277.30/35.80 inference(cnf_transformation,[],[f56])).
% 277.30/35.80
% 277.30/35.80 cnf(c_53,negated_conjecture,
% 277.30/35.80 ($product_real($product_real(X0_2,X1_2),X2_2) = $product_real(X0_2,$product_real(X1_2,X2_2))),
% 277.30/35.80 inference(cnf_transformation,[],[f55])).
% 277.30/35.80
% 277.30/35.80 cnf(c_54,negated_conjecture,
% 277.30/35.80 ($product_real(X0_2,X1_2) = $product_real(X1_2,X0_2)),
% 277.30/35.80 inference(cnf_transformation,[],[f54])).
% 277.30/35.80
% 277.30/35.80 cnf(c_58,negated_conjecture,
% 277.30/35.80 (X0_2 = X1_2|$less_real(X0_2,X1_2)|$less_real(X1_2,X0_2)),
% 277.30/35.80 inference(cnf_transformation,[],[f50])).
% 277.30/35.80
% 277.30/35.80 cnf(c_59,plain,
% 277.30/35.80 (~$less_real(X0_2,X1_2)|~$less_real(X1_2,X2_2)|$less_real(X0_2,X2_2)),
% 277.30/35.80 inference(cnf_transformation,[],[f49])).
% 277.30/35.80
% 277.30/35.80 cnf(c_60,negated_conjecture,
% 277.30/35.80 (~$less_real(X0_2,X0_2)),
% 277.30/35.80 inference(cnf_transformation,[],[f48])).
% 277.30/35.80
% 277.30/35.80 cnf(c_63,negated_conjecture,
% 277.30/35.80 ($sum_real(X0_2,0.0) = X0_2),
% 277.30/35.80 inference(cnf_transformation,[],[f45])).
% 277.30/35.80
% 277.30/35.80 cnf(c_64,negated_conjecture,
% 277.30/35.80 ($sum_real($sum_real(X0_2,X1_2),X2_2) = $sum_real(X0_2,$sum_real(X1_2,X2_2))),
% 277.30/35.80 inference(cnf_transformation,[],[f44])).
% 277.30/35.80
% 277.30/35.80 cnf(c_65,negated_conjecture,
% 277.30/35.80 ($sum_real(X0_2,X1_2) = $sum_real(X1_2,X0_2)),
% 277.30/35.80 inference(cnf_transformation,[],[f43])).
% 277.30/35.80
% 277.30/35.80 cnf(c_71,plain,
% 277.30/35.80 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 277.30/35.80 inference(cnf_transformation,[],[f37])).
% 277.30/35.80
% 277.30/35.80 cnf(c_72,negated_conjecture,
% 277.30/35.80 (~$less_int(X0_3,X0_3)),
% 277.30/35.80 inference(cnf_transformation,[],[f36])).
% 277.30/35.80
% 277.30/35.80 cnf(c_73,negated_conjecture,
% 277.30/35.80 ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 277.30/35.80 inference(cnf_transformation,[],[f35])).
% 277.30/35.80
% 277.30/35.80 cnf(c_76,negated_conjecture,
% 277.30/35.80 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 277.30/35.80 inference(cnf_transformation,[],[f32])).
% 277.30/35.80
% 277.30/35.80 cnf(c_77,negated_conjecture,
% 277.30/35.80 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 277.30/35.80 inference(cnf_transformation,[],[f31])).
% 277.30/35.80
% 277.30/35.80 cnf(c_82,negated_conjecture,
% 277.30/35.80 (lk(0) = 1),
% 277.30/35.80 inference(cnf_transformation,[],[f90])).
% 277.30/35.80
% 277.30/35.80 cnf(c_84,negated_conjecture,
% 277.30/35.80 ($sum_int(lk(0),lk(1)) = ns(0)),
% 277.30/35.80 inference(cnf_transformation,[],[f92])).
% 277.30/35.80
% 277.30/35.80 cnf(c_87,negated_conjecture,
% 277.30/35.80 ($product_real(dc(X0_2,X0_3,X1_3),$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,$to_real_int(ns(X1_3)))))),
% 277.30/35.80 inference(cnf_transformation,[],[f95])).
% 277.30/35.80
% 277.30/35.80 cnf(c_89,negated_conjecture,
% 277.30/35.80 ($sum_real($product_real(X0_2,$to_real_int(lk($sum_int(X0_3,$uminus_int(1))))),mysump(X0_2,X1_3,X0_3,$sum_int(X0_3,$uminus_int(2)))) = $product_real($to_real_int(X1_3),imp(X0_2,X1_3,X0_3))|
% 277.30/35.80 $less_int(X0_3,1)),
% 277.30/35.80 inference(cnf_transformation,[],[f97])).
% 277.30/35.80
% 277.30/35.80 cnf(c_90,negated_conjecture,
% 277.30/35.80 (mysump(X0_2,X0_3,X1_3,0) = 0.0),
% 277.30/35.80 inference(cnf_transformation,[],[f98])).
% 277.30/35.80
% 277.30/35.80 cnf(c_91,negated_conjecture,
% 277.30/35.80 ($sum_real($product_real(dc(X0_2,X0_3,X1_3),$to_real_int(lk(X2_3))),mysump(X0_2,X0_3,X1_3,$sum_int(X2_3,$uminus_int(1)))) = mysump(X0_2,X0_3,X1_3,X2_3)|
% 277.30/35.80 $less_int(X2_3,1)),
% 277.30/35.80 inference(cnf_transformation,[],[f99])).
% 277.30/35.80
% 277.30/35.80 cnf(c_100,plain,($less_int(1,2)),theory(arith)).
% 277.30/35.80
% 277.30/35.80 cnf(c_102,plain,($less_real(0.0,0.9)),theory(arith)).
% 277.30/35.80
% 277.30/35.80 cnf(c_103,plain,($less_real(0.9,1.0)),theory(arith)).
% 277.30/35.80
% 277.30/35.80 cnf(c_106,plain,
% 277.30/35.80 (~$less_real(0.0,0.0)),
% 277.30/35.80 inference(instantiation,[status(thm)],[c_60])).
% 277.30/35.80
% 277.30/35.80 cnf(c_125,plain,
% 277.30/35.80 (0.0 = 0.0|$less_real(0.0,0.0)),
% 277.30/35.80 inference(instantiation,[status(thm)],[c_58])).
% 277.30/35.80
% 277.30/35.80 cnf(c_141,negated_conjecture,
% 277.30/35.80 ($sum_int(lk(1),lk(0)) = ns(0)),
% 277.30/35.80 inference(theory_normalisation,
% 277.30/35.80 [status(thm)],
% 277.30/35.80 [c_84,c_76,c_77,c_53,c_54,c_64,c_65])).
% 277.30/35.80
% 277.30/35.80 cnf(c_485,plain,
% 277.30/35.80 (X0_2 != X1_2|X2_2 != X3_2|~$less_real(X1_2,X3_2)|$less_real(X0_2,X2_2)),
% 277.30/35.80 theory(equality)).
% 277.30/35.80
% 277.30/35.80 cnf(c_1392,plain,
% 277.30/35.80 ($product_real(0.0,X0_2) = 0.0),
% 277.30/35.80 inference(superposition,[status(thm)],[c_54,c_51])).
% 277.30/35.80
% 277.30/35.80 cnf(c_1458,plain,
% 277.30/35.80 (~$less_real(X0_2,0.9)|$less_real(X0_2,1.0)),
% 277.30/35.80 inference(superposition,[status(thm)],[c_103,c_59])).
% 277.30/35.80
% 277.30/35.80 cnf(c_1574,plain,
% 277.30/35.80 ($sum_real($to_real_int(ns(X0_3)),$uminus_real($product_real(X0_2,$to_real_int(ns(X0_3))))) = $product_real(dc(X0_2,ns(X0_3),X0_3),$to_real_int(0))),
% 277.30/35.80 inference(superposition,[status(thm)],[c_73,c_87])).
% 277.30/35.80
% 277.30/35.80 cnf(c_1732,plain,
% 277.30/35.80 ($sum_real($to_real_int(ns(X0_3)),$product_real(-1.0,$product_real(X0_2,$to_real_int(ns(X0_3))))) = 0.0),
% 277.30/35.80 inference(smt_theory_normalisation,[status(thm)],[c_1574])).
% 277.30/35.80
% 277.30/35.80 cnf(c_1813,plain,
% 277.30/35.80 (~$less_real(0.0,0.9)|$less_real(0.0,1.0)),
% 277.30/35.80 inference(instantiation,[status(thm)],[c_1458])).
% 277.30/35.80
% 277.30/35.80 cnf(c_2291,plain,
% 277.30/35.80 (X0_2 != X1_2|X2_2 != 1.0|~$less_real(X1_2,1.0)|$less_real(X0_2,X2_2)),
% 277.30/35.80 inference(instantiation,[status(thm)],[c_485])).
% 277.30/35.80
% 277.30/35.80 cnf(c_2292,plain,
% 277.30/35.80 (0.0 != 0.0|0.0 != 1.0|~$less_real(0.0,1.0)|$less_real(0.0,0.0)),
% 277.30/35.80 inference(instantiation,[status(thm)],[c_2291])).
% 277.30/35.80
% 277.30/35.80 cnf(c_3373,plain,
% 277.30/35.80 ($sum_real($to_real_int(ns(X0_3)),$product_real(-1.0,0.0)) = 0.0),
% 277.30/35.80 inference(superposition,[status(thm)],[c_1392,c_1732])).
% 277.30/35.80
% 277.30/35.80 cnf(c_4408,plain,
% 277.30/35.80 ($to_real_int(ns(X0_3)) = 0.0),
% 277.30/35.80 inference(smt_theory_normalisation,[status(thm)],[c_3373])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21205,plain,
% 277.30/35.80 ($product_real(X0_2,$product_real(X1_2,X2_2)) = $product_real(X1_2,$product_real(X0_2,X2_2))),
% 277.30/35.80 inference(superposition,[status(thm)],[c_53,c_54])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21410,plain,
% 277.30/35.80 ($sum_real(0.0,X0_2) = X0_2),
% 277.30/35.80 inference(superposition,[status(thm)],[c_63,c_65])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21427,plain,
% 277.30/35.80 ($sum_int(lk(1),1) = ns(0)),
% 277.30/35.80 inference(superposition,[status(thm)],[c_82,c_141])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21472,plain,
% 277.30/35.80 (~$less_int(2,X0_3)|$less_int(1,X0_3)),
% 277.30/35.80 inference(superposition,[status(thm)],[c_100,c_71])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21550,plain,
% 277.30/35.80 ($sum_int(X0_3,$sum_int(X1_3,$uminus_int($sum_int(X0_3,X1_3)))) = 0),
% 277.30/35.80 inference(superposition,[status(thm)],[c_76,c_73])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21574,plain,
% 277.30/35.80 ($sum_real($product_real(X0_2,$product_real(X1_2,X2_2)),$product_real(X1_2,X3_2)) = $product_real(X1_2,$sum_real($product_real(X0_2,X2_2),X3_2))),
% 277.30/35.80 inference(superposition,[status(thm)],[c_21205,c_50])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21578,plain,
% 277.30/35.80 ($sum_real($product_real(X0_2,X1_2),X0_2) = $product_real(X0_2,$sum_real(X1_2,1.0))),
% 277.30/35.80 inference(superposition,[status(thm)],[c_52,c_50])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21581,plain,
% 277.30/35.80 ($sum_real($product_real(X0_2,X1_2),$product_real(X2_2,$product_real(X0_2,X3_2))) = $product_real(X0_2,$sum_real(X1_2,$product_real(X2_2,X3_2)))),
% 277.30/35.80 inference(superposition,[status(thm)],[c_21205,c_50])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21586,plain,
% 277.30/35.80 ($sum_real($product_real(X0_2,X1_2),$product_real(X0_2,X2_2)) = $product_real(X0_2,$sum_real(X2_2,X1_2))),
% 277.30/35.80 inference(superposition,[status(thm)],[c_50,c_65])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21651,plain,
% 277.30/35.80 ($product_real(dc(X0_2,$sum_int(X0_3,X1_3),X2_3),$to_real_int($sum_int(X0_3,$sum_int(X1_3,$uminus_int(ns(X2_3)))))) = $sum_real($to_real_int($sum_int(X0_3,X1_3)),$uminus_real($product_real(X0_2,$to_real_int(ns(X2_3)))))),
% 277.30/35.80 inference(superposition,[status(thm)],[c_76,c_87])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21758,plain,
% 277.30/35.80 ($sum_real($product_real($to_real_int(lk(X0_3)),dc(X0_2,X1_3,X2_3)),mysump(X0_2,X1_3,X2_3,$sum_int(-1,X0_3))) = mysump(X0_2,X1_3,X2_3,X0_3)|
% 277.30/35.80 $less_int(X0_3,1)),
% 277.30/35.80 inference(smt_theory_normalisation,[status(thm)],[c_91])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21761,plain,
% 277.30/35.80 ($sum_real(mysump(X0_2,X0_3,X1_3,$sum_int(-1,X2_3)),$product_real($to_real_int(lk(X2_3)),dc(X0_2,X0_3,X1_3))) = mysump(X0_2,X0_3,X1_3,X2_3)|
% 277.30/35.80 $less_int(X2_3,1)),
% 277.30/35.80 inference(theory_normalisation,
% 277.30/35.80 [status(thm)],
% 277.30/35.80 [c_21758,c_64,c_65,c_53,c_54,c_76,c_77])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21765,plain,
% 277.30/35.80 ($sum_real(mysump(X0_2,X0_3,X1_3,$sum_int(-1,1)),$product_real($to_real_int(lk(1)),dc(X0_2,X0_3,X1_3))) = mysump(X0_2,X0_3,X1_3,1)),
% 277.30/35.80 inference(superposition,[status(thm)],[c_21761,c_72])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21769,plain,
% 277.30/35.80 ($sum_real($product_real(X0_2,$to_real_int(lk($sum_int(-1,X0_3)))),mysump(X0_2,X1_3,X0_3,$sum_int(-2,X0_3))) = $product_real($to_real_int(X1_3),imp(X0_2,X1_3,X0_3))|
% 277.30/35.80 $less_int(X0_3,1)),
% 277.30/35.80 inference(smt_theory_normalisation,[status(thm)],[c_89])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21859,plain,
% 277.30/35.80 ($sum_int(1,lk(1)) = ns(0)),
% 277.30/35.80 inference(theory_normalisation,
% 277.30/35.80 [status(thm)],
% 277.30/35.80 [c_21427,c_64,c_65,c_53,c_54,c_76,c_77])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21879,plain,
% 277.30/35.80 ($sum_real(X0_2,$product_real(X0_2,X1_2)) = $product_real(X0_2,$sum_real(X1_2,1.0))),
% 277.30/35.80 inference(theory_normalisation,
% 277.30/35.80 [status(thm)],
% 277.30/35.80 [c_21578,c_64,c_65,c_53,c_54,c_76,c_77])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21963,plain,
% 277.30/35.80 ($sum_real(mysump(X0_2,X0_3,X1_3,0),$product_real($to_real_int(lk(1)),dc(X0_2,X0_3,X1_3))) = mysump(X0_2,X0_3,X1_3,1)),
% 277.30/35.80 inference(smt_theory_normalisation,[status(thm)],[c_21765])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21964,plain,
% 277.30/35.80 ($sum_real(0.0,$product_real($to_real_int(lk(1)),dc(X0_2,X0_3,X1_3))) = mysump(X0_2,X0_3,X1_3,1)),
% 277.30/35.80 inference(demodulation,[status(thm)],[c_21963,c_90])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21965,plain,
% 277.30/35.80 ($product_real($to_real_int(lk(1)),dc(X0_2,X0_3,X1_3)) = mysump(X0_2,X0_3,X1_3,1)),
% 277.30/35.80 inference(ac_demodulation,
% 277.30/35.80 [status(thm)],
% 277.30/35.80 [c_21964,c_63,c_64,c_65,c_53,c_54,c_76,c_77])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21989,plain,
% 277.30/35.80 ($product_real(dc(X0_2,$sum_int(X0_3,X1_3),X2_3),$to_real_int($sum_int(X0_3,$sum_int(X1_3,$uminus_int(ns(X2_3)))))) = $sum_real($to_real_int($sum_int(X0_3,X1_3)),$uminus_real(0.0))),
% 277.30/35.80 inference(demodulation,[status(thm)],[c_21651,c_51,c_4408])).
% 277.30/35.80
% 277.30/35.80 cnf(c_21990,plain,
% 277.30/35.80 ($product_real(dc(X0_2,$sum_int(X0_3,X1_3),X2_3),$to_real_int($sum_int(X0_3,$sum_int(X1_3,$uminus_int(ns(X2_3)))))) = $sum_real($uminus_real(0.0),$to_real_int($sum_int(X0_3,X1_3)))),
% 277.30/35.80 inference(theory_normalisation,
% 277.30/35.80 [status(thm)],
% 277.30/35.80 [c_21989,c_64,c_65,c_53,c_54,c_76,c_77])).
% 277.30/35.80
% 277.30/35.80 cnf(c_22756,plain,
% 277.30/35.80 ($sum_real($product_real(X0_2,$to_real_int(lk($sum_int(-1,2)))),mysump(X0_2,X0_3,2,$sum_int(-2,2))) = $product_real($to_real_int(X0_3),imp(X0_2,X0_3,2))|
% 277.30/35.80 $less_int(1,1)),
% 277.30/35.80 inference(superposition,[status(thm)],[c_21769,c_21472])).
% 277.30/35.80
% 277.30/35.80 cnf(c_22792,plain,
% 277.30/35.80 ($sum_int(1,$sum_int(lk(1),X0_3)) = $sum_int(ns(0),X0_3)),
% 277.30/35.80 inference(superposition,[status(thm)],[c_21859,c_76])).
% 277.30/35.80
% 277.30/35.80 cnf(c_23411,plain,
% 277.30/35.80 ($product_real($to_real_int(lk(1)),$sum_real(dc(X0_2,X0_3,X1_3),1.0)) = $sum_real($to_real_int(lk(1)),mysump(X0_2,X0_3,X1_3,1))),
% 277.30/35.80 inference(superposition,[status(thm)],[c_21965,c_21879])).
% 277.30/35.80
% 277.30/35.80 cnf(c_23724,plain,
% 277.30/35.80 ($sum_real($product_real(X0_2,X1_2),$product_real(X2_2,$product_real(X1_2,X3_2))) = $product_real(X1_2,$sum_real(X0_2,$product_real(X2_2,X3_2)))),
% 277.30/35.80 inference(superposition,[status(thm)],[c_54,c_21581])).
% 277.30/35.80
% 277.30/35.80 cnf(c_23795,plain,
% 277.30/35.80 ($sum_real($product_real(X0_2,$product_real(X1_2,X2_2)),X1_2) = $product_real(X1_2,$sum_real($product_real(X0_2,X2_2),1.0))),
% 277.30/35.80 inference(superposition,[status(thm)],[c_52,c_21574])).
% 277.30/35.80
% 277.30/35.80 cnf(c_24069,plain,
% 277.30/35.80 ($sum_int(-1,ns(0)) = lk(1)),
% 277.30/35.80 inference(smt_theory_normalisation,[status(thm)],[c_22792])).
% 277.30/35.80
% 277.30/35.80 cnf(c_24237,plain,
% 277.30/35.80 ($sum_real(X0_2,$product_real(X1_2,$product_real(X0_2,X2_2))) = $product_real(X0_2,$sum_real(1.0,$product_real(X1_2,X2_2)))),
% 277.30/35.80 inference(theory_normalisation,
% 277.30/35.80 [status(thm)],
% 277.30/35.80 [c_23795,c_64,c_65,c_53,c_54,c_76,c_77])).
% 277.30/35.80
% 277.30/35.80 cnf(c_24562,plain,
% 277.30/35.80 ($product_real($to_real_int(lk(1)),$sum_real(1.0,dc(X0_2,X0_3,X1_3))) = $sum_real($to_real_int(lk(1)),mysump(X0_2,X0_3,X1_3,1))),
% 277.30/35.80 inference(theory_normalisation,
% 277.30/35.80 [status(thm)],
% 277.30/35.80 [c_23411,c_64,c_65,c_53,c_54,c_76,c_77])).
% 277.30/35.80
% 277.30/35.80 cnf(c_24670,plain,
% 277.30/35.80 ($sum_real($product_real(X0_2,$to_real_int(lk(1))),mysump(X0_2,X0_3,2,0)) = $product_real($to_real_int(X0_3),imp(X0_2,X0_3,2))),
% 277.30/35.80 inference(smt_theory_normalisation,[status(thm)],[c_22756])).
% 277.30/35.80
% 277.30/35.80 cnf(c_24671,plain,
% 277.30/35.80 ($product_real($to_real_int(X0_3),imp(X0_2,X0_3,2)) = $product_real(X0_2,$to_real_int(lk(1)))),
% 277.30/35.80 inference(demodulation,[status(thm)],[c_24670,c_63,c_90])).
% 277.30/35.80
% 277.30/35.80 cnf(c_26691,plain,
% 277.30/35.80 ($sum_int(-1,$sum_int(ns(0),$uminus_int(lk(1)))) = 0),
% 277.30/35.80 inference(superposition,[status(thm)],[c_24069,c_21550])).
% 277.30/35.80
% 277.30/35.80 cnf(c_27216,plain,
% 277.30/35.80 ($sum_int(ns(0),$product_int(-1,lk(1))) = 1),
% 277.30/35.80 inference(smt_theory_normalisation,[status(thm)],[c_26691])).
% 277.30/35.80
% 277.30/35.80 cnf(c_49594,plain,
% 277.30/35.80 ($product_real(0.0,imp(X0_2,ns(X0_3),2)) = $product_real(X0_2,$to_real_int(lk(1)))),
% 277.30/35.80 inference(superposition,[status(thm)],[c_4408,c_24671])).
% 277.30/35.80
% 277.30/35.80 cnf(c_50761,plain,
% 277.30/35.80 ($product_real(X0_2,$to_real_int(lk(1))) = 0.0),
% 277.30/35.80 inference(smt_theory_normalisation,[status(thm)],[c_49594])).
% 277.30/35.80
% 277.30/35.80 cnf(c_111412,plain,
% 277.30/35.80 ($sum_real($to_real_int(lk(1)),$product_real(X0_2,$sum_real($to_real_int(lk(1)),mysump(X1_2,X0_3,X1_3,1)))) = $product_real($to_real_int(lk(1)),$sum_real(1.0,$product_real(X0_2,$sum_real(1.0,dc(X1_2,X0_3,X1_3)))))),
% 277.30/35.80 inference(superposition,[status(thm)],[c_24562,c_24237])).
% 277.30/35.80
% 277.30/35.80 cnf(c_111419,plain,
% 277.30/35.80 ($sum_real($product_real(X0_2,$to_real_int(lk(1))),$product_real(X1_2,$sum_real($to_real_int(lk(1)),mysump(X2_2,X0_3,X1_3,1)))) = $product_real($to_real_int(lk(1)),$sum_real(X0_2,$product_real(X1_2,$sum_real(1.0,dc(X2_2,X0_3,X1_3)))))),
% 277.30/35.80 inference(superposition,[status(thm)],[c_24562,c_23724])).
% 277.30/35.80
% 277.30/35.80 cnf(c_113327,plain,
% 277.30/35.80 ($product_real($to_real_int(lk(1)),$sum_real(X0_2,$product_real(X1_2,$sum_real(1.0,dc(X2_2,X0_3,X1_3))))) = $sum_real(0.0,$product_real(X1_2,$sum_real($to_real_int(lk(1)),mysump(X2_2,X0_3,X1_3,1))))),
% 277.30/35.80 inference(light_normalisation,[status(thm)],[c_111419,c_50761])).
% 277.30/35.80
% 277.30/35.80 cnf(c_113328,plain,
% 277.30/35.80 ($product_real($to_real_int(lk(1)),$sum_real(X0_2,$product_real(X1_2,$sum_real(1.0,dc(X2_2,X0_3,X1_3))))) = $product_real(X1_2,$sum_real($to_real_int(lk(1)),mysump(X2_2,X0_3,X1_3,1)))),
% 277.30/35.80 inference(ac_demodulation,
% 277.30/35.80 [status(thm)],
% 277.30/35.80 [c_113327,c_63,c_64,c_65,c_53,c_54,c_76,c_77])).
% 277.30/35.80
% 277.30/35.80 cnf(c_113329,plain,
% 277.30/35.80 ($sum_real($to_real_int(lk(1)),$product_real(X0_2,$sum_real($to_real_int(lk(1)),mysump(X1_2,X0_3,X1_3,1)))) = $product_real(X0_2,$sum_real($to_real_int(lk(1)),mysump(X1_2,X0_3,X1_3,1)))),
% 277.30/35.80 inference(ac_demodulation,
% 277.30/35.80 [status(thm)],
% 277.30/35.80 [c_111412,c_113328,c_64,c_65,c_53,c_54,c_76,c_77])).
% 277.30/35.80
% 277.30/35.80 cnf(c_113332,plain,
% 277.30/35.80 ($to_real_int(lk(1)) = 0.0),
% 277.30/35.80 inference(smt_theory_normalisation,[status(thm)],[c_113329])).
% 277.30/35.80
% 277.30/35.80 cnf(c_213396,plain,
% 277.30/35.80 ($product_real(dc(X0_2,1,X0_3),$to_real_int($sum_int(ns(0),$sum_int($product_int(-1,lk(1)),$uminus_int(ns(X0_3)))))) = $sum_real($uminus_real(0.0),$to_real_int(1))),
% 277.30/35.80 inference(superposition,[status(thm)],[c_27216,c_21990])).
% 277.30/35.80
% 277.30/35.80 cnf(c_217126,plain,
% 277.30/35.80 ($product_real(dc(X0_2,1,X0_3),$sum_real($to_real_int(ns(0)),$sum_real($product_real(-1.0,$to_real_int(lk(1))),$product_real(-1.0,$to_real_int(ns(X0_3)))))) = 1.0),
% 277.30/35.80 inference(smt_theory_normalisation,[status(thm)],[c_213396])).
% 277.30/35.80
% 277.30/35.80 cnf(c_217127,plain,
% 277.30/35.80 ($product_real(dc(X0_2,1,X0_3),$product_real(-1.0,$to_real_int(lk(1)))) = 1.0),
% 277.30/35.80 inference(demodulation,[status(thm)],[c_217126,c_21410,c_21586,c_4408])).
% 277.30/35.80
% 277.30/35.80 cnf(c_217128,plain,
% 277.30/35.80 ($product_real(dc(X0_2,1,X0_3),$product_real(-1.0,0.0)) = 1.0),
% 277.30/35.80 inference(light_normalisation,[status(thm)],[c_217127,c_113332])).
% 277.30/35.80
% 277.30/35.80 cnf(c_217129,plain,
% 277.30/35.80 ($product_real(0.0,$product_real(-1.0,dc(X0_2,1,X0_3))) = 1.0),
% 277.30/35.80 inference(theory_normalisation,
% 277.30/35.80 [status(thm)],
% 277.30/35.80 [c_217128,c_64,c_65,c_53,c_54,c_76,c_77])).
% 277.30/35.80
% 277.30/35.80 cnf(c_217130,plain,
% 277.30/35.80 ($product_real(-1.0,0.0) = 1.0),
% 277.30/35.80 inference(ac_demodulation,
% 277.30/35.80 [status(thm)],
% 277.30/35.80 [c_217129,c_51,c_64,c_65,c_53,c_54,c_76,c_77])).
% 277.30/35.80
% 277.30/35.80 cnf(c_217131,plain,
% 277.30/35.80 (0.0 = 1.0),
% 277.30/35.80 inference(ac_demodulation,
% 277.30/35.80 [status(thm)],
% 277.30/35.80 [c_217130,c_51,c_64,c_65,c_53,c_54,c_76,c_77])).
% 277.30/35.80
% 277.30/35.80 cnf(c_217444,plain,
% 277.30/35.80 ($false),
% 277.30/35.80 inference(prop_impl_just,
% 277.30/35.80 [status(thm)],
% 277.30/35.80 [c_217131,c_2292,c_1813,c_125,c_106,c_102])).
% 277.30/35.80
% 277.30/35.80
% 277.30/35.80 % SZS output end CNFRefutation for theBenchmark.p
% 277.30/35.80
% 277.30/35.80
%------------------------------------------------------------------------------