TSTP Solution File: ARI620_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ARI620_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 17:41:31 EDT 2023
% Result : Theorem 161.38s 21.17s
% Output : CNFRefutation 161.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI620_1 : TPTP v8.1.2. Released v5.1.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n019.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 18:41:27 EDT 2023
% 0.14/0.34 % 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 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 161.38/21.17 % SZS status Started for theBenchmark.p
% 161.38/21.17 % SZS status Theorem for theBenchmark.p
% 161.38/21.17
% 161.38/21.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 161.38/21.17
% 161.38/21.17 ------ iProver source info
% 161.38/21.17
% 161.38/21.17 git: date: 2023-05-31 18:12:56 +0000
% 161.38/21.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 161.38/21.17 git: non_committed_changes: false
% 161.38/21.17 git: last_make_outside_of_git: false
% 161.38/21.17
% 161.38/21.17 ------ Parsing...
% 161.38/21.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 161.38/21.17
% 161.38/21.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 161.38/21.17
% 161.38/21.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 161.38/21.17
% 161.38/21.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 161.38/21.17 ------ Proving...
% 161.38/21.17 ------ Problem Properties
% 161.38/21.17
% 161.38/21.17
% 161.38/21.17 clauses 27
% 161.38/21.17 conjectures 21
% 161.38/21.17 EPR 9
% 161.38/21.17 Horn 21
% 161.38/21.17 unary 17
% 161.38/21.17 binary 3
% 161.38/21.17 lits 44
% 161.38/21.17 lits eq 19
% 161.38/21.17 fd_pure 0
% 161.38/21.17 fd_pseudo 0
% 161.38/21.17 fd_cond 2
% 161.38/21.17 fd_pseudo_cond 2
% 161.38/21.17 AC symbols 2
% 161.38/21.17
% 161.38/21.17 ------ Input Options Time Limit: Unbounded
% 161.38/21.17
% 161.38/21.17
% 161.38/21.17 ------
% 161.38/21.17 Current options:
% 161.38/21.17 ------
% 161.38/21.17
% 161.38/21.17
% 161.38/21.17
% 161.38/21.17
% 161.38/21.17 ------ Proving...
% 161.38/21.17
% 161.38/21.17
% 161.38/21.17 % SZS status Theorem for theBenchmark.p
% 161.38/21.17
% 161.38/21.17 % SZS output start CNFRefutation for theBenchmark.p
% 161.38/21.17
% 161.38/21.17 tff(f1,conjecture,(
% 161.38/21.17 ! [X0 : $int] : (pow2(X0) <=> ((? [X1 : $int] : (pow2(X1) & $product(2,X1) = X0) & $lesseq(2,X0)) | 1 = X0)) => pow2(8)),
% 161.38/21.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pow_of_2_8)).
% 161.38/21.17
% 161.38/21.17 tff(f2,negated_conjecture,(
% 161.38/21.17 ~(! [X0 : $int] : (pow2(X0) <=> ((? [X1 : $int] : (pow2(X1) & $product(2,X1) = X0) & $lesseq(2,X0)) | 1 = X0)) => pow2(8))),
% 161.38/21.17 inference(negated_conjecture,[],[f1])).
% 161.38/21.17
% 161.38/21.17 tff(f3,plain,(
% 161.38/21.17 ~(! [X0 : $int] : (pow2(X0) <=> ((? [X1 : $int] : (pow2(X1) & $product(2,X1) = X0) & ~$less(X0,2)) | 1 = X0)) => pow2(8))),
% 161.38/21.17 inference(theory_normalization,[],[f2])).
% 161.38/21.17
% 161.38/21.17 tff(f4,plain,(
% 161.38/21.17 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 161.38/21.17 introduced(theory_axiom_138,[])).
% 161.38/21.17
% 161.38/21.17 tff(f6,plain,(
% 161.38/21.17 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 161.38/21.17 introduced(theory_axiom_140,[])).
% 161.38/21.17
% 161.38/21.17 tff(f9,plain,(
% 161.38/21.17 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 161.38/21.17 introduced(theory_axiom_145,[])).
% 161.38/21.17
% 161.38/21.17 tff(f10,plain,(
% 161.38/21.17 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 161.38/21.17 introduced(theory_axiom_146,[])).
% 161.38/21.17
% 161.38/21.17 tff(f11,plain,(
% 161.38/21.17 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 161.38/21.17 introduced(theory_axiom_147,[])).
% 161.38/21.17
% 161.38/21.17 tff(f13,plain,(
% 161.38/21.17 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 161.38/21.17 introduced(theory_axiom_150,[])).
% 161.38/21.17
% 161.38/21.17 tff(f15,plain,(
% 161.38/21.17 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 161.38/21.17 introduced(theory_axiom_138,[])).
% 161.38/21.17
% 161.38/21.17 tff(f16,plain,(
% 161.38/21.17 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 161.38/21.17 introduced(theory_axiom_139,[])).
% 161.38/21.17
% 161.38/21.17 tff(f17,plain,(
% 161.38/21.17 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 161.38/21.17 introduced(theory_axiom_140,[])).
% 161.38/21.17
% 161.38/21.17 tff(f19,plain,(
% 161.38/21.17 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 161.38/21.17 introduced(theory_axiom_153,[])).
% 161.38/21.17
% 161.38/21.17 tff(f20,plain,(
% 161.38/21.17 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (0 = X0 | $product(X0,X2) != X1 | $product(X0,X3) != X1 | X2 = X3) )),
% 161.38/21.17 introduced(theory_axiom_154,[])).
% 161.38/21.17
% 161.38/21.17 tff(f21,plain,(
% 161.38/21.17 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 161.38/21.17 introduced(theory_axiom_164,[])).
% 161.38/21.17
% 161.38/21.17 tff(f22,plain,(
% 161.38/21.17 ~pow2(8) & ! [X0 : $int] : (pow2(X0) <=> ((? [X1 : $int] : (pow2(X1) & $product(2,X1) = X0) & ~$less(X0,2)) | 1 = X0))),
% 161.38/21.17 inference(ennf_transformation,[],[f3])).
% 161.38/21.17
% 161.38/21.17 tff(f23,plain,(
% 161.38/21.17 ~pow2(8) & ! [X0 : $int] : ((pow2(X0) | ((! [X1 : $int] : (~pow2(X1) | $product(2,X1) != X0) | $less(X0,2)) & 1 != X0)) & (((? [X1 : $int] : (pow2(X1) & $product(2,X1) = X0) & ~$less(X0,2)) | 1 = X0) | ~pow2(X0)))),
% 161.38/21.17 inference(nnf_transformation,[],[f22])).
% 161.38/21.17
% 161.38/21.17 tff(f24,plain,(
% 161.38/21.17 ~pow2(8) & ! [X0 : $int] : ((pow2(X0) | ((! [X1 : $int] : (~pow2(X1) | $product(2,X1) != X0) | $less(X0,2)) & 1 != X0)) & ((? [X1 : $int] : (pow2(X1) & $product(2,X1) = X0) & ~$less(X0,2)) | 1 = X0 | ~pow2(X0)))),
% 161.38/21.17 inference(flattening,[],[f23])).
% 161.38/21.17
% 161.38/21.17 tff(f25,plain,(
% 161.38/21.17 ~pow2(8) & ! [X0 : $int] : ((pow2(X0) | ((! [X1 : $int] : (~pow2(X1) | $product(2,X1) != X0) | $less(X0,2)) & 1 != X0)) & ((? [X2 : $int] : (pow2(X2) & $product(2,X2) = X0) & ~$less(X0,2)) | 1 = X0 | ~pow2(X0)))),
% 161.38/21.17 inference(rectify,[],[f24])).
% 161.38/21.17
% 161.38/21.17 tff(f26,plain,(
% 161.38/21.17 ! [X0 : $int] : (? [X2 : $int] : (pow2(X2) & $product(2,X2) = X0) => (pow2(sK0(X0)) & $product(2,sK0(X0)) = X0))),
% 161.38/21.17 introduced(choice_axiom,[])).
% 161.38/21.17
% 161.38/21.17 tff(f27,plain,(
% 161.38/21.17 ~pow2(8) & ! [X0 : $int] : ((pow2(X0) | ((! [X1 : $int] : (~pow2(X1) | $product(2,X1) != X0) | $less(X0,2)) & 1 != X0)) & (((pow2(sK0(X0)) & $product(2,sK0(X0)) = X0) & ~$less(X0,2)) | 1 = X0 | ~pow2(X0)))),
% 161.38/21.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f25,f26])).
% 161.38/21.17
% 161.38/21.17 tff(f28,plain,(
% 161.38/21.17 ( ! [X0 : $int] : (~$less(X0,2) | 1 = X0 | ~pow2(X0)) )),
% 161.38/21.17 inference(cnf_transformation,[],[f27])).
% 161.38/21.17
% 161.38/21.17 tff(f31,plain,(
% 161.38/21.17 ( ! [X0 : $int] : (pow2(X0) | 1 != X0) )),
% 161.38/21.17 inference(cnf_transformation,[],[f27])).
% 161.38/21.17
% 161.38/21.17 tff(f32,plain,(
% 161.38/21.17 ( ! [X0 : $int,X1 : $int] : (pow2(X0) | ~pow2(X1) | $product(2,X1) != X0 | $less(X0,2)) )),
% 161.38/21.17 inference(cnf_transformation,[],[f27])).
% 161.38/21.17
% 161.38/21.17 tff(f33,plain,(
% 161.38/21.17 ~pow2(8)),
% 161.38/21.17 inference(cnf_transformation,[],[f27])).
% 161.38/21.17
% 161.38/21.17 tff(f34,plain,(
% 161.38/21.17 ( ! [X2 : $int,X3 : $int,X0 : $int] : (0 = X0 | $product(X0,X2) != $product(X0,X3) | X2 = X3) )),
% 161.38/21.17 inference(equality_resolution,[],[f20])).
% 161.38/21.17
% 161.38/21.17 tff(f35,plain,(
% 161.38/21.17 ( ! [X1 : $int] : (pow2($product(2,X1)) | ~pow2(X1) | $less($product(2,X1),2)) )),
% 161.38/21.17 inference(equality_resolution,[],[f32])).
% 161.38/21.17
% 161.38/21.17 tff(f36,plain,(
% 161.38/21.17 pow2(1)),
% 161.38/21.17 inference(equality_resolution,[],[f31])).
% 161.38/21.17
% 161.38/21.17 cnf(c_49,negated_conjecture,
% 161.38/21.17 (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 161.38/21.17 inference(cnf_transformation,[],[f21])).
% 161.38/21.17
% 161.38/21.17 cnf(c_50,plain,
% 161.38/21.17 ($product_int(X0_3,X1_3) != $product_int(X0_3,X2_3)|X0_3 = 0|X1_3 = X2_3),
% 161.38/21.17 inference(cnf_transformation,[],[f34])).
% 161.38/21.17
% 161.38/21.17 cnf(c_51,negated_conjecture,
% 161.38/21.17 ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 161.38/21.17 inference(cnf_transformation,[],[f19])).
% 161.38/21.17
% 161.38/21.17 cnf(c_53,negated_conjecture,
% 161.38/21.17 ($product_int(X0_3,1) = X0_3),
% 161.38/21.17 inference(cnf_transformation,[],[f17])).
% 161.38/21.17
% 161.38/21.17 cnf(c_54,negated_conjecture,
% 161.38/21.17 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 161.38/21.17 inference(cnf_transformation,[],[f16])).
% 161.38/21.17
% 161.38/21.17 cnf(c_55,negated_conjecture,
% 161.38/21.17 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 161.38/21.17 inference(cnf_transformation,[],[f15])).
% 161.38/21.17
% 161.38/21.17 cnf(c_57,negated_conjecture,
% 161.38/21.17 ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 161.38/21.17 inference(cnf_transformation,[],[f13])).
% 161.38/21.17
% 161.38/21.17 cnf(c_59,negated_conjecture,
% 161.38/21.17 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 161.38/21.17 inference(cnf_transformation,[],[f11])).
% 161.38/21.17
% 161.38/21.17 cnf(c_60,plain,
% 161.38/21.17 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 161.38/21.17 inference(cnf_transformation,[],[f10])).
% 161.38/21.17
% 161.38/21.17 cnf(c_61,negated_conjecture,
% 161.38/21.17 (~$less_int(X0_3,X0_3)),
% 161.38/21.17 inference(cnf_transformation,[],[f9])).
% 161.38/21.17
% 161.38/21.17 cnf(c_64,negated_conjecture,
% 161.38/21.17 ($sum_int(X0_3,0) = X0_3),
% 161.38/21.17 inference(cnf_transformation,[],[f6])).
% 161.38/21.17
% 161.38/21.17 cnf(c_66,negated_conjecture,
% 161.38/21.17 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 161.38/21.17 inference(cnf_transformation,[],[f4])).
% 161.38/21.17
% 161.38/21.17 cnf(c_67,negated_conjecture,
% 161.38/21.17 (~pow2(8)),
% 161.38/21.17 inference(cnf_transformation,[],[f33])).
% 161.38/21.17
% 161.38/21.17 cnf(c_68,negated_conjecture,
% 161.38/21.17 (~pow2(X0_3)|$less_int($product_int(2,X0_3),2)|pow2($product_int(2,X0_3))),
% 161.38/21.17 inference(cnf_transformation,[],[f35])).
% 161.38/21.17
% 161.38/21.17 cnf(c_69,negated_conjecture,
% 161.38/21.17 (pow2(1)),
% 161.38/21.17 inference(cnf_transformation,[],[f36])).
% 161.38/21.17
% 161.38/21.17 cnf(c_72,negated_conjecture,
% 161.38/21.17 (~$less_int(X0_3,2)|~pow2(X0_3)|X0_3 = 1),
% 161.38/21.17 inference(cnf_transformation,[],[f28])).
% 161.38/21.17
% 161.38/21.17 cnf(c_73,plain,($less_int(0,1)),theory(arith)).
% 161.38/21.17
% 161.38/21.17 cnf(c_74,plain,($less_int(1,2)),theory(arith)).
% 161.38/21.17
% 161.38/21.17 cnf(c_76,plain,
% 161.38/21.17 (~$less_int(1,1)),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_61])).
% 161.38/21.17
% 161.38/21.17 cnf(c_86,plain,
% 161.38/21.17 (1 = 1|$less_int(1,1)),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_59])).
% 161.38/21.17
% 161.38/21.17 cnf(c_264,plain,(X0_3 = X0_3),theory(equality)).
% 161.38/21.17
% 161.38/21.17 cnf(c_265,plain,(X0_3 != X1_3|X2_3 != X1_3|X2_3 = X0_3),theory(equality)).
% 161.38/21.17
% 161.38/21.17 cnf(c_269,plain,
% 161.38/21.17 (X0_3 != X1_3|X2_3 != X3_3|~$less_int(X1_3,X3_3)|$less_int(X0_3,X2_3)),
% 161.38/21.17 theory(equality)).
% 161.38/21.17
% 161.38/21.17 cnf(c_270,plain,(X0_3 != X1_3|~pow2(X1_3)|pow2(X0_3)),theory(equality)).
% 161.38/21.17
% 161.38/21.17 cnf(c_658,plain,
% 161.38/21.17 ($product_int(X0_3,$product_int(X1_3,X2_3)) = $product_int(X1_3,$product_int(X0_3,X2_3))),
% 161.38/21.17 inference(superposition,[status(thm)],[c_54,c_55])).
% 161.38/21.17
% 161.38/21.17 cnf(c_673,plain,
% 161.38/21.17 (8 != X0_3|~pow2(X0_3)|pow2(8)),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_270])).
% 161.38/21.17
% 161.38/21.17 cnf(c_680,plain,
% 161.38/21.17 (X0_3 != 0|X1_3 != 1|~$less_int(0,1)|$less_int(X0_3,X1_3)),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_269])).
% 161.38/21.17
% 161.38/21.17 cnf(c_681,plain,
% 161.38/21.17 (1 != 1|1 != 0|~$less_int(0,1)|$less_int(1,1)),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_680])).
% 161.38/21.17
% 161.38/21.17 cnf(c_700,plain,
% 161.38/21.17 ($product_int(X0_3,8) != $product_int(X0_3,X1_3)|X0_3 = 0|8 = X1_3),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_50])).
% 161.38/21.17
% 161.38/21.17 cnf(c_703,plain,
% 161.38/21.17 (X0_3 != X1_3|8 != X1_3|8 = X0_3),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_265])).
% 161.38/21.17
% 161.38/21.17 cnf(c_780,plain,
% 161.38/21.17 ($less_int(X0_3,$sum_int(1,X1_3))|$less_int(X1_3,X0_3)),
% 161.38/21.17 inference(superposition,[status(thm)],[c_66,c_57])).
% 161.38/21.17
% 161.38/21.17 cnf(c_867,plain,
% 161.38/21.17 (X0_3 != 1|0 != 0|~$less_int(0,1)|$less_int(0,X0_3)),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_680])).
% 161.38/21.17
% 161.38/21.17 cnf(c_875,plain,
% 161.38/21.17 (~$less_int(X0_3,$sum_int(1,X1_3))|~$less_int(X1_3,X0_3)),
% 161.38/21.17 inference(superposition,[status(thm)],[c_66,c_49])).
% 161.38/21.17
% 161.38/21.17 cnf(c_883,plain,
% 161.38/21.17 (~pow2(X0_3)|pow2($product_int(2,X0_3))|$less_int(X0_3,1)),
% 161.38/21.17 inference(smt_theory_normalisation,[status(thm)],[c_68])).
% 161.38/21.17
% 161.38/21.17 cnf(c_884,plain,
% 161.38/21.17 (~pow2(1)|pow2($product_int(2,1))|$less_int(1,1)),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_883])).
% 161.38/21.17
% 161.38/21.17 cnf(c_930,plain,
% 161.38/21.17 (~$less_int(2,X0_3)|$less_int(1,X0_3)),
% 161.38/21.17 inference(superposition,[status(thm)],[c_74,c_60])).
% 161.38/21.17
% 161.38/21.17 cnf(c_945,plain,
% 161.38/21.17 ($sum_int($product_int(X0_3,X1_3),$product_int(X1_3,X2_3)) = $product_int(X1_3,$sum_int(X0_3,X2_3))),
% 161.38/21.17 inference(superposition,[status(thm)],[c_55,c_51])).
% 161.38/21.17
% 161.38/21.17 cnf(c_948,plain,
% 161.38/21.17 ($sum_int(X0_3,$product_int(X0_3,X1_3)) = $product_int(X0_3,$sum_int(1,X1_3))),
% 161.38/21.17 inference(superposition,[status(thm)],[c_53,c_51])).
% 161.38/21.17
% 161.38/21.17 cnf(c_952,plain,
% 161.38/21.17 ($sum_int($product_int(X0_3,X1_3),$product_int(X2_3,X0_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 161.38/21.17 inference(superposition,[status(thm)],[c_55,c_51])).
% 161.38/21.17
% 161.38/21.17 cnf(c_1088,plain,
% 161.38/21.17 (~pow2(X0_3)|pow2($product_int(2,X0_3))|$less_int(X0_3,1)),
% 161.38/21.17 inference(smt_theory_normalisation,[status(thm)],[c_68])).
% 161.38/21.17
% 161.38/21.17 cnf(c_1096,plain,
% 161.38/21.17 (~pow2($product_int(X0_3,X1_3))|pow2($product_int(X0_3,$product_int(2,X1_3)))|
% 161.38/21.17 $less_int($product_int(X0_3,X1_3),1)),
% 161.38/21.17 inference(superposition,[status(thm)],[c_658,c_1088])).
% 161.38/21.17
% 161.38/21.17 cnf(c_1124,plain,
% 161.38/21.17 ($sum_int(X0_3,$product_int(X0_3,X1_3)) = $product_int(X0_3,$sum_int(1,X1_3))),
% 161.38/21.17 inference(superposition,[status(thm)],[c_53,c_51])).
% 161.38/21.17
% 161.38/21.17 cnf(c_1248,plain,
% 161.38/21.17 ($product_int(8,1) = 8),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_53])).
% 161.38/21.17
% 161.38/21.17 cnf(c_1270,plain,
% 161.38/21.17 ($product_int(X0_3,8) = $product_int(X0_3,X1_3)|$less_int($product_int(X0_3,X1_3),$product_int(X0_3,8))|
% 161.38/21.17 $less_int($product_int(X0_3,8),$product_int(X0_3,X1_3))),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_59])).
% 161.38/21.17
% 161.38/21.17 cnf(c_1274,plain,
% 161.38/21.17 ($product_int(X0_3,8) != $product_int(X0_3,8)|X0_3 = 0|8 = 8),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_700])).
% 161.38/21.17
% 161.38/21.17 cnf(c_1275,plain,
% 161.38/21.17 ($product_int(1,8) != $product_int(1,8)|1 = 0|8 = 8),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_1274])).
% 161.38/21.17
% 161.38/21.17 cnf(c_1295,plain,
% 161.38/21.17 (X0_3 != 8|8 != 8|8 = X0_3),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_703])).
% 161.38/21.17
% 161.38/21.17 cnf(c_1582,plain,
% 161.38/21.17 ($less_int(1,$sum_int(1,X0_3))|$less_int(X0_3,2)),
% 161.38/21.17 inference(superposition,[status(thm)],[c_780,c_930])).
% 161.38/21.17
% 161.38/21.17 cnf(c_1738,plain,
% 161.38/21.17 (~$less_int(X0_3,1)|~$less_int(0,X0_3)),
% 161.38/21.17 inference(superposition,[status(thm)],[c_64,c_875])).
% 161.38/21.17
% 161.38/21.17 cnf(c_2101,plain,
% 161.38/21.17 ($product_int(X0_3,$sum_int(1,1)) = $sum_int(X0_3,X0_3)),
% 161.38/21.17 inference(superposition,[status(thm)],[c_53,c_948])).
% 161.38/21.17
% 161.38/21.17 cnf(c_2147,plain,
% 161.38/21.17 ($product_int(X0_3,$sum_int(1,1)) = $sum_int(X0_3,X0_3)),
% 161.38/21.17 inference(superposition,[status(thm)],[c_53,c_1124])).
% 161.38/21.17
% 161.38/21.17 cnf(c_2418,plain,
% 161.38/21.17 ($product_int(X0_3,$sum_int(X1_3,X1_3)) = $product_int(X1_3,$sum_int(X0_3,X0_3))),
% 161.38/21.17 inference(superposition,[status(thm)],[c_945,c_952])).
% 161.38/21.17
% 161.38/21.17 cnf(c_3197,plain,(0 = 0),inference(instantiation,[status(thm)],[c_264])).
% 161.38/21.17
% 161.38/21.17 cnf(c_3276,plain,
% 161.38/21.17 ($product_int(X0_3,8) = $product_int(X0_3,8)|$less_int($product_int(X0_3,8),$product_int(X0_3,8))),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_1270])).
% 161.38/21.17
% 161.38/21.17 cnf(c_3277,plain,
% 161.38/21.17 (~$less_int($product_int(X0_3,8),$product_int(X0_3,8))),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_61])).
% 161.38/21.17
% 161.38/21.17 cnf(c_3278,plain,
% 161.38/21.17 ($product_int(1,8) = $product_int(1,8)|$less_int($product_int(1,8),$product_int(1,8))),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_3276])).
% 161.38/21.17
% 161.38/21.17 cnf(c_3279,plain,
% 161.38/21.17 (~$less_int($product_int(1,8),$product_int(1,8))),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_3277])).
% 161.38/21.17
% 161.38/21.17 cnf(c_3384,plain,
% 161.38/21.17 ($less_int(X0_3,2)|$less_int(0,X0_3)),
% 161.38/21.17 inference(smt_theory_normalisation,[status(thm)],[c_1582])).
% 161.38/21.17
% 161.38/21.17 cnf(c_4563,plain,
% 161.38/21.17 ($product_int(8,1) != 8|8 != 8|8 = $product_int(8,1)),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_1295])).
% 161.38/21.17
% 161.38/21.17 cnf(c_6423,plain,
% 161.38/21.17 (~pow2(X0_3)|X0_3 = 1|$less_int(0,X0_3)),
% 161.38/21.17 inference(superposition,[status(thm)],[c_3384,c_72])).
% 161.38/21.17
% 161.38/21.17 cnf(c_6897,plain,
% 161.38/21.17 (~pow2($product_int(X0_3,$sum_int(1,1)))|$less_int($product_int(X0_3,$sum_int(1,1)),1)|
% 161.38/21.17 pow2($product_int(X0_3,$sum_int(2,2)))),
% 161.38/21.17 inference(superposition,[status(thm)],[c_2147,c_1096])).
% 161.38/21.17
% 161.38/21.17 cnf(c_8758,plain,
% 161.38/21.17 (~pow2($product_int(2,X0_3))|pow2($product_int(4,X0_3))|$less_int(X0_3,1)),
% 161.38/21.17 inference(smt_theory_normalisation,[status(thm)],[c_6897])).
% 161.38/21.17
% 161.38/21.17 cnf(c_8924,plain,
% 161.38/21.17 (~pow2($product_int(2,1))|pow2($product_int(4,1))|$less_int(1,1)),
% 161.38/21.17 inference(instantiation,[status(thm)],[c_8758])).
% 161.38/21.17
% 161.38/21.17 cnf(c_9447,plain,
% 161.38/21.17 ($sum_int($product_int(X0_3,X1_3),$sum_int(X1_3,X1_3)) = $product_int(X1_3,$sum_int(X0_3,$sum_int(1,1)))),
% 161.38/21.17 inference(superposition,[status(thm)],[c_2101,c_945])).
% 161.38/21.18
% 161.38/21.18 cnf(c_9983,plain,
% 161.38/21.18 (~pow2($sum_int(X0_3,X0_3))|pow2($product_int(X0_3,$sum_int(2,2)))|
% 161.38/21.18 $less_int($sum_int(X0_3,X0_3),1)),
% 161.38/21.18 inference(superposition,[status(thm)],[c_2418,c_883])).
% 161.38/21.18
% 161.38/21.18 cnf(c_10935,plain,
% 161.38/21.18 (~pow2($sum_int(X0_3,X0_3))|pow2($product_int(4,X0_3))|$less_int(X0_3,1)),
% 161.38/21.18 inference(smt_theory_normalisation,[status(thm)],[c_9983])).
% 161.38/21.18
% 161.38/21.18 cnf(c_11005,plain,
% 161.38/21.18 ($sum_int($product_int(X0_3,X1_3),$product_int(2,X1_3)) = $product_int(X1_3,$sum_int(2,X0_3))),
% 161.38/21.18 inference(smt_theory_normalisation,[status(thm)],[c_9447])).
% 161.38/21.18
% 161.38/21.18 cnf(c_12397,plain,
% 161.38/21.18 (8 != $product_int(8,1)|~pow2($product_int(8,1))|pow2(8)),
% 161.38/21.18 inference(instantiation,[status(thm)],[c_673])).
% 161.38/21.18
% 161.38/21.18 cnf(c_13483,plain,
% 161.38/21.18 (~pow2(X0_3)|pow2($product_int(2,X0_3))|$less_int(X0_3,1)),
% 161.38/21.18 inference(smt_theory_normalisation,[status(thm)],[c_68])).
% 161.38/21.18
% 161.38/21.18 cnf(c_13484,plain,
% 161.38/21.18 (pow2($product_int(2,X0_3))|~pow2(X0_3)),
% 161.38/21.18 inference(global_subsumption_just,
% 161.38/21.18 [status(thm)],
% 161.38/21.18 [c_13483,c_73,c_867,c_883,c_3197,c_1738,c_6423])).
% 161.38/21.18
% 161.38/21.18 cnf(c_13485,plain,
% 161.38/21.18 (~pow2(X0_3)|pow2($product_int(2,X0_3))),
% 161.38/21.18 inference(renaming,[status(thm)],[c_13484])).
% 161.38/21.18
% 161.38/21.18 cnf(c_13629,plain,
% 161.38/21.18 ($sum_int($product_int(X0_3,X1_3),$product_int(X1_3,X2_3)) = $product_int(X1_3,$sum_int(X0_3,X2_3))),
% 161.38/21.18 inference(superposition,[status(thm)],[c_55,c_51])).
% 161.38/21.18
% 161.38/21.18 cnf(c_13637,plain,
% 161.38/21.18 ($sum_int($product_int(X0_3,X1_3),$product_int(X2_3,X0_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 161.38/21.18 inference(superposition,[status(thm)],[c_55,c_51])).
% 161.38/21.18
% 161.38/21.18 cnf(c_15517,plain,
% 161.38/21.18 ($product_int(X0_3,$sum_int(X1_3,X1_3)) = $product_int(X1_3,$sum_int(X0_3,X0_3))),
% 161.38/21.18 inference(superposition,[status(thm)],[c_13629,c_13637])).
% 161.38/21.18
% 161.38/21.18 cnf(c_28126,plain,
% 161.38/21.18 (~pow2($sum_int(X0_3,X0_3))|pow2($product_int(X0_3,$sum_int(2,2)))),
% 161.38/21.18 inference(superposition,[status(thm)],[c_15517,c_13485])).
% 161.38/21.18
% 161.38/21.18 cnf(c_29535,plain,
% 161.38/21.18 (~pow2($sum_int(X0_3,X0_3))|pow2($product_int(4,X0_3))),
% 161.38/21.18 inference(smt_theory_normalisation,[status(thm)],[c_28126])).
% 161.38/21.18
% 161.38/21.18 cnf(c_235983,plain,
% 161.38/21.18 (pow2($product_int(4,X0_3))|~pow2($sum_int(X0_3,X0_3))),
% 161.38/21.18 inference(global_subsumption_just,[status(thm)],[c_10935,c_29535])).
% 161.38/21.18
% 161.38/21.18 cnf(c_235984,plain,
% 161.38/21.18 (~pow2($sum_int(X0_3,X0_3))|pow2($product_int(4,X0_3))),
% 161.38/21.18 inference(renaming,[status(thm)],[c_235983])).
% 161.38/21.18
% 161.38/21.18 cnf(c_293763,plain,
% 161.38/21.18 (~pow2($product_int(X0_3,$sum_int(2,2)))|pow2($product_int(4,$product_int(2,X0_3)))),
% 161.38/21.18 inference(superposition,[status(thm)],[c_11005,c_235984])).
% 161.38/21.18
% 161.38/21.18 cnf(c_294215,plain,
% 161.38/21.18 (~pow2($product_int(4,X0_3))|pow2($product_int(8,X0_3))),
% 161.38/21.18 inference(smt_theory_normalisation,[status(thm)],[c_293763])).
% 161.38/21.18
% 161.38/21.18 cnf(c_296209,plain,
% 161.38/21.18 (~pow2($product_int(4,1))|pow2($product_int(8,1))),
% 161.38/21.18 inference(instantiation,[status(thm)],[c_294215])).
% 161.38/21.18
% 161.38/21.18 cnf(c_296210,plain,
% 161.38/21.18 ($false),
% 161.38/21.18 inference(prop_impl_just,
% 161.38/21.18 [status(thm)],
% 161.38/21.18 [c_296209,c_12397,c_8924,c_4563,c_3279,c_3278,c_1275,c_1248,
% 161.38/21.18 c_884,c_681,c_86,c_76,c_67,c_69,c_73])).
% 161.38/21.18
% 161.38/21.18
% 161.38/21.18 % SZS output end CNFRefutation for theBenchmark.p
% 161.38/21.18
% 161.38/21.18
%------------------------------------------------------------------------------