TSTP Solution File: SWW838_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW838_1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 Sep 1 00:41:14 EDT 2023
% Result : Unsatisfiable 38.49s 5.64s
% Output : CNFRefutation 38.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW838_1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.16/0.34 % Computer : n008.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sun Aug 27 21:52:02 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.20/0.45 Running TFA theorem proving
% 0.20/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 38.49/5.64 % SZS status Started for theBenchmark.p
% 38.49/5.64 % SZS status Unsatisfiable for theBenchmark.p
% 38.49/5.64
% 38.49/5.64 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 38.49/5.64
% 38.49/5.64 ------ iProver source info
% 38.49/5.64
% 38.49/5.64 git: date: 2023-05-31 18:12:56 +0000
% 38.49/5.64 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 38.49/5.64 git: non_committed_changes: false
% 38.49/5.64 git: last_make_outside_of_git: false
% 38.49/5.64
% 38.49/5.64 ------ Parsing...
% 38.49/5.64 ------ Clausification by vclausify_rel & Parsing by iProver...
% 38.49/5.64
% 38.49/5.64 ------ Preprocessing... sup_sim: 128 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 7 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 4 sf_s rm: 1 0s sf_e pe_s pe_e
% 38.49/5.64
% 38.49/5.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 38.49/5.64
% 38.49/5.64 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 38.49/5.64 ------ Proving...
% 38.49/5.64 ------ Problem Properties
% 38.49/5.64
% 38.49/5.64
% 38.49/5.64 clauses 401
% 38.49/5.64 conjectures 13
% 38.49/5.64 EPR 15
% 38.49/5.64 Horn 336
% 38.49/5.64 unary 264
% 38.49/5.64 binary 96
% 38.49/5.64 lits 583
% 38.49/5.64 lits eq 503
% 38.49/5.64 fd_pure 0
% 38.49/5.64 fd_pseudo 0
% 38.49/5.64 fd_cond 45
% 38.49/5.64 fd_pseudo_cond 17
% 38.49/5.64 AC symbols 4
% 38.49/5.64
% 38.49/5.64 ------ Input Options Time Limit: Unbounded
% 38.49/5.64
% 38.49/5.64
% 38.49/5.64 ------
% 38.49/5.64 Current options:
% 38.49/5.64 ------
% 38.49/5.64
% 38.49/5.64
% 38.49/5.64
% 38.49/5.64
% 38.49/5.64 ------ Proving...
% 38.49/5.64
% 38.49/5.64
% 38.49/5.64 % SZS status Unsatisfiable for theBenchmark.p
% 38.49/5.64
% 38.49/5.64 % SZS output start CNFRefutation for theBenchmark.p
% 38.49/5.64
% 38.49/5.64 tff(f55,axiom,(
% 38.49/5.64 ? [X17 : 'S13'] : (? [X18 : 'S12'] : (f54(f55(f56,X18),f57(f58(f7(f8,0)),f124)) != f32(f33(f40,f32(f33(f34,f24(X18,f124)),f122)),f32(f33(f34,X17),f122)) & f37(f80,X17) = X18) & f24(f37(f80,f32(f33(f40,f122),f24(f123,f124))),f125) = X17)),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_55)).
% 38.49/5.64
% 38.49/5.64 tff(f56,axiom,(
% 38.49/5.64 $less(0,f9(f10,f125))),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_56)).
% 38.49/5.64
% 38.49/5.64 tff(f57,axiom,(
% 38.49/5.64 $less(f9(f10,f125),f9(f10,f124))),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_57)).
% 38.49/5.64
% 38.49/5.64 tff(f58,axiom,(
% 38.49/5.64 ! [X0 : 'S2'] : f122 = f24(f37(f80,f24(f123,X0)),X0)),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_58)).
% 38.49/5.64
% 38.49/5.64 tff(f60,axiom,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2'] : ? [X21 : 'S12'] : ((f122 != X0 => f54(f55(f56,X21),f57(f58(f7(f8,0)),X1)) = f32(f33(f40,f32(f33(f34,f24(X21,X1)),f122)),f32(f33(f34,X0),f122))) & f37(f80,X0) = X21)),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_60)).
% 38.49/5.64
% 38.49/5.64 tff(f68,axiom,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2'] : ? [X38 : 'S16'] : (f32(X38,f24(f37(f80,X0),X1)) = f24(f37(f80,f32(X38,X0)),X1) & f33(f40,f122) = X38)),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_68)).
% 38.49/5.64
% 38.49/5.64 tff(f79,axiom,(
% 38.49/5.64 ! [X0 : 'S2',X1 : 'S2'] : ? [X41 : $int] : (($less(0,X41) => ($less(X41,f9(f10,X1)) => f120 = f54(f55(f56,f37(f80,f24(f37(f80,f24(f123,X1)),X0))),f57(f58(f7(f8,0)),X1)))) & f9(f10,X0) = X41)),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_79)).
% 38.49/5.64
% 38.49/5.64 tff(f81,axiom,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13',X2 : 'S2'] : f24(f37(f80,f32(f33(f40,X0),X1)),X2) = f32(f33(f40,f24(f37(f80,X0),X2)),f24(f37(f80,X1),X2))),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_81)).
% 38.49/5.64
% 38.49/5.64 tff(f91,axiom,(
% 38.49/5.64 f120 != f122),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_91)).
% 38.49/5.64
% 38.49/5.64 tff(f118,axiom,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13'] : (f120 != X0 => (f122 = f32(f33(f40,X1),X0) <=> X0 = X1))),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_118)).
% 38.49/5.64
% 38.49/5.64 tff(f126,axiom,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13',X2 : 'S2'] : (f120 != X0 => f24(f37(f80,f32(f33(f40,X1),X0)),X2) = f32(f33(f40,f24(f37(f80,X1),X2)),f24(f37(f80,X0),X2)))),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_126)).
% 38.49/5.64
% 38.49/5.64 tff(f144,axiom,(
% 38.49/5.64 ! [X0 : 'S2'] : f122 = f24(f37(f80,f122),X0)),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_144)).
% 38.49/5.64
% 38.49/5.64 tff(f147,axiom,(
% 38.49/5.64 ! [X0 : 'S13'] : f32(f33(f40,X0),f122) = X0),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_147)).
% 38.49/5.64
% 38.49/5.64 tff(f169,axiom,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13'] : (f120 = f32(f33(f34,X0),X1) <=> X0 = X1)),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_169)).
% 38.49/5.64
% 38.49/5.64 tff(f175,axiom,(
% 38.49/5.64 ! [X0 : 'S13'] : f120 = f32(f33(f34,X0),X0)),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_175)).
% 38.49/5.64
% 38.49/5.64 tff(f245,axiom,(
% 38.49/5.64 ! [X0 : $int,X1 : $int,X2 : $int] : $product($product(X0,X1),X2) = $product(X0,$product(X1,X2))),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_245)).
% 38.49/5.64
% 38.49/5.64 tff(f246,axiom,(
% 38.49/5.64 ! [X0 : $real,X1 : $real,X2 : $real] : $product($product(X0,X1),X2) = $product(X0,$product(X1,X2))),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_246)).
% 38.49/5.64
% 38.49/5.64 tff(f251,axiom,(
% 38.49/5.64 ! [X0 : $int,X1 : $int] : $product(X0,X1) = $product(X1,X0)),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_251)).
% 38.49/5.64
% 38.49/5.64 tff(f252,axiom,(
% 38.49/5.64 ! [X0 : $real,X1 : $real] : $product(X0,X1) = $product(X1,X0)),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_252)).
% 38.49/5.64
% 38.49/5.64 tff(f279,axiom,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13'] : (f120 != X0 => (f120 != X1 => f120 != f32(f33(f44,X0),X1)))),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_279)).
% 38.49/5.64
% 38.49/5.64 tff(f285,axiom,(
% 38.49/5.64 ! [X0 : 'S13'] : f120 = f32(f33(f44,f120),X0)),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_285)).
% 38.49/5.64
% 38.49/5.64 tff(f298,axiom,(
% 38.49/5.64 ! [X0 : 'S13'] : f32(f33(f44,X0),f122) = X0),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_298)).
% 38.49/5.64
% 38.49/5.64 tff(f369,axiom,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13',X2 : 'S13'] : ? [X158 : 'S16'] : (f32(X158,f32(f33(f40,X1),X2)) = f32(f33(f40,f32(X158,X1)),X2) & f33(f44,X0) = X158)),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_369)).
% 38.49/5.64
% 38.49/5.64 tff(f374,axiom,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2',X2 : 'S2'] : ? [X161 : 'S12'] : (f24(X161,f7(f8,$product(f9(f10,X1),f9(f10,X2)))) = f24(f37(f80,f24(X161,X1)),X2) & f37(f80,X0) = X161)),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_374)).
% 38.49/5.64
% 38.49/5.64 tff(f377,axiom,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2',X2 : 'S2'] : ? [X164 : 'S12'] : (f24(f37(f80,f24(X164,X1)),X2) = f24(X164,f7(f8,$product(f9(f10,X1),f9(f10,X2)))) & f37(f80,X0) = X164)),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_377)).
% 38.49/5.64
% 38.49/5.64 tff(f407,axiom,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13',X2 : 'S13'] : (f32(f33(f40,X0),X1) = X2 <=> ((f120 = X1 => f120 = X2) & (f120 != X1 => f32(f33(f44,X2),X1) = X0)))),
% 38.49/5.64 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_407)).
% 38.49/5.64
% 38.49/5.64 tff(f610,plain,(
% 38.49/5.64 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 38.49/5.64 introduced(theory_axiom_138,[])).
% 38.49/5.64
% 38.49/5.64 tff(f611,plain,(
% 38.49/5.64 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 38.49/5.64 introduced(theory_axiom_139,[])).
% 38.49/5.64
% 38.49/5.64 tff(f621,plain,(
% 38.49/5.64 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 38.49/5.64 introduced(theory_axiom_138,[])).
% 38.49/5.64
% 38.49/5.64 tff(f622,plain,(
% 38.49/5.64 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product($product(X0,X1),X2) = $product(X0,$product(X1,X2))) )),
% 38.49/5.64 introduced(theory_axiom_139,[])).
% 38.49/5.64
% 38.49/5.64 tff(f628,plain,(
% 38.49/5.64 ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 38.49/5.64 introduced(theory_axiom_138,[])).
% 38.49/5.64
% 38.49/5.64 tff(f629,plain,(
% 38.49/5.64 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 38.49/5.64 introduced(theory_axiom_139,[])).
% 38.49/5.64
% 38.49/5.64 tff(f639,plain,(
% 38.49/5.64 ( ! [X0 : $real,X1 : $real] : ($product(X0,X1) = $product(X1,X0)) )),
% 38.49/5.64 introduced(theory_axiom_138,[])).
% 38.49/5.64
% 38.49/5.64 tff(f640,plain,(
% 38.49/5.64 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($product($product(X0,X1),X2) = $product(X0,$product(X1,X2))) )),
% 38.49/5.64 introduced(theory_axiom_139,[])).
% 38.49/5.64
% 38.49/5.64 tff(f671,plain,(
% 38.49/5.64 ? [X0 : 'S13'] : (? [X1 : 'S12'] : (f54(f55(f56,X1),f57(f58(f7(f8,0)),f124)) != f32(f33(f40,f32(f33(f34,f24(X1,f124)),f122)),f32(f33(f34,X0),f122)) & f37(f80,X0) = X1) & f24(f37(f80,f32(f33(f40,f122),f24(f123,f124))),f125) = X0)),
% 38.49/5.64 inference(rectify,[],[f55])).
% 38.49/5.64
% 38.49/5.64 tff(f673,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2'] : ? [X2 : 'S12'] : ((f122 != X0 => f54(f55(f56,X2),f57(f58(f7(f8,0)),X1)) = f32(f33(f40,f32(f33(f34,f24(X2,X1)),f122)),f32(f33(f34,X0),f122))) & f37(f80,X0) = X2)),
% 38.49/5.64 inference(rectify,[],[f60])).
% 38.49/5.64
% 38.49/5.64 tff(f681,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2'] : ? [X2 : 'S16'] : (f32(X2,f24(f37(f80,X0),X1)) = f24(f37(f80,f32(X2,X0)),X1) & f33(f40,f122) = X2)),
% 38.49/5.64 inference(rectify,[],[f68])).
% 38.49/5.64
% 38.49/5.64 tff(f684,plain,(
% 38.49/5.64 ! [X0 : 'S2',X1 : 'S2'] : ? [X2 : $int] : (($less(0,X2) => ($less(X2,f9(f10,X1)) => f120 = f54(f55(f56,f37(f80,f24(f37(f80,f24(f123,X1)),X0))),f57(f58(f7(f8,0)),X1)))) & f9(f10,X0) = X2)),
% 38.49/5.64 inference(rectify,[],[f79])).
% 38.49/5.64
% 38.49/5.64 tff(f793,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13',X2 : 'S13'] : ? [X3 : 'S16'] : (f32(X3,f32(f33(f40,X1),X2)) = f32(f33(f40,f32(X3,X1)),X2) & f33(f44,X0) = X3)),
% 38.49/5.64 inference(rectify,[],[f369])).
% 38.49/5.64
% 38.49/5.64 tff(f798,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2',X2 : 'S2'] : ? [X3 : 'S12'] : (f24(X3,f7(f8,$product(f9(f10,X1),f9(f10,X2)))) = f24(f37(f80,f24(X3,X1)),X2) & f37(f80,X0) = X3)),
% 38.49/5.64 inference(rectify,[],[f374])).
% 38.49/5.64
% 38.49/5.64 tff(f801,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2',X2 : 'S2'] : ? [X3 : 'S12'] : (f24(X3,f7(f8,$product(f9(f10,X1),f9(f10,X2)))) = f24(f37(f80,f24(X3,X1)),X2) & f37(f80,X0) = X3)),
% 38.49/5.64 inference(rectify,[],[f377])).
% 38.49/5.64
% 38.49/5.64 tff(f872,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2'] : ? [X2 : 'S12'] : ((f54(f55(f56,X2),f57(f58(f7(f8,0)),X1)) = f32(f33(f40,f32(f33(f34,f24(X2,X1)),f122)),f32(f33(f34,X0),f122)) | f122 = X0) & f37(f80,X0) = X2)),
% 38.49/5.64 inference(ennf_transformation,[],[f673])).
% 38.49/5.64
% 38.49/5.64 tff(f879,plain,(
% 38.49/5.64 ! [X0 : 'S2',X1 : 'S2'] : ? [X2 : $int] : (((f120 = f54(f55(f56,f37(f80,f24(f37(f80,f24(f123,X1)),X0))),f57(f58(f7(f8,0)),X1)) | ~$less(X2,f9(f10,X1))) | ~$less(0,X2)) & f9(f10,X0) = X2)),
% 38.49/5.64 inference(ennf_transformation,[],[f684])).
% 38.49/5.64
% 38.49/5.64 tff(f880,plain,(
% 38.49/5.64 ! [X0 : 'S2',X1 : 'S2'] : ? [X2 : $int] : ((f120 = f54(f55(f56,f37(f80,f24(f37(f80,f24(f123,X1)),X0))),f57(f58(f7(f8,0)),X1)) | ~$less(X2,f9(f10,X1)) | ~$less(0,X2)) & f9(f10,X0) = X2)),
% 38.49/5.64 inference(flattening,[],[f879])).
% 38.49/5.64
% 38.49/5.64 tff(f890,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13'] : ((f122 = f32(f33(f40,X1),X0) <=> X0 = X1) | f120 = X0)),
% 38.49/5.64 inference(ennf_transformation,[],[f118])).
% 38.49/5.64
% 38.49/5.64 tff(f900,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13',X2 : 'S2'] : (f24(f37(f80,f32(f33(f40,X1),X0)),X2) = f32(f33(f40,f24(f37(f80,X1),X2)),f24(f37(f80,X0),X2)) | f120 = X0)),
% 38.49/5.64 inference(ennf_transformation,[],[f126])).
% 38.49/5.64
% 38.49/5.64 tff(f931,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13'] : ((f120 != f32(f33(f44,X0),X1) | f120 = X1) | f120 = X0)),
% 38.49/5.64 inference(ennf_transformation,[],[f279])).
% 38.49/5.64
% 38.49/5.64 tff(f932,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13'] : (f120 != f32(f33(f44,X0),X1) | f120 = X1 | f120 = X0)),
% 38.49/5.64 inference(flattening,[],[f931])).
% 38.49/5.64
% 38.49/5.64 tff(f964,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13',X2 : 'S13'] : (f32(f33(f40,X0),X1) = X2 <=> ((f120 = X2 | f120 != X1) & (f32(f33(f44,X2),X1) = X0 | f120 = X1)))),
% 38.49/5.64 inference(ennf_transformation,[],[f407])).
% 38.49/5.64
% 38.49/5.64 tff(f1027,plain,(
% 38.49/5.64 ? [X0 : 'S13'] : (? [X1 : 'S12'] : (f54(f55(f56,X1),f57(f58(f7(f8,0)),f124)) != f32(f33(f40,f32(f33(f34,f24(X1,f124)),f122)),f32(f33(f34,X0),f122)) & f37(f80,X0) = X1) & f24(f37(f80,f32(f33(f40,f122),f24(f123,f124))),f125) = X0) => (? [X1 : 'S12'] : (f54(f55(f56,X1),f57(f58(f7(f8,0)),f124)) != f32(f33(f40,f32(f33(f34,f24(X1,f124)),f122)),f32(f33(f34,sK13),f122)) & f37(f80,sK13) = X1) & f24(f37(f80,f32(f33(f40,f122),f24(f123,f124))),f125) = sK13)),
% 38.49/5.64 introduced(choice_axiom,[])).
% 38.49/5.64
% 38.49/5.64 tff(f1028,plain,(
% 38.49/5.64 ? [X1 : 'S12'] : (f54(f55(f56,X1),f57(f58(f7(f8,0)),f124)) != f32(f33(f40,f32(f33(f34,f24(X1,f124)),f122)),f32(f33(f34,sK13),f122)) & f37(f80,sK13) = X1) => (f54(f55(f56,sK14),f57(f58(f7(f8,0)),f124)) != f32(f33(f40,f32(f33(f34,f24(sK14,f124)),f122)),f32(f33(f34,sK13),f122)) & f37(f80,sK13) = sK14)),
% 38.49/5.64 introduced(choice_axiom,[])).
% 38.49/5.64
% 38.49/5.64 tff(f1029,plain,(
% 38.49/5.64 (f54(f55(f56,sK14),f57(f58(f7(f8,0)),f124)) != f32(f33(f40,f32(f33(f34,f24(sK14,f124)),f122)),f32(f33(f34,sK13),f122)) & f37(f80,sK13) = sK14) & f24(f37(f80,f32(f33(f40,f122),f24(f123,f124))),f125) = sK13),
% 38.49/5.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f671,f1028,f1027])).
% 38.49/5.64
% 38.49/5.64 tff(f1032,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2'] : (? [X2 : 'S12'] : ((f54(f55(f56,X2),f57(f58(f7(f8,0)),X1)) = f32(f33(f40,f32(f33(f34,f24(X2,X1)),f122)),f32(f33(f34,X0),f122)) | f122 = X0) & f37(f80,X0) = X2) => ((f54(f55(f56,sK17(X0,X1)),f57(f58(f7(f8,0)),X1)) = f32(f33(f40,f32(f33(f34,f24(sK17(X0,X1),X1)),f122)),f32(f33(f34,X0),f122)) | f122 = X0) & f37(f80,X0) = sK17(X0,X1)))),
% 38.49/5.64 introduced(choice_axiom,[])).
% 38.49/5.64
% 38.49/5.64 tff(f1033,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2'] : ((f54(f55(f56,sK17(X0,X1)),f57(f58(f7(f8,0)),X1)) = f32(f33(f40,f32(f33(f34,f24(sK17(X0,X1),X1)),f122)),f32(f33(f34,X0),f122)) | f122 = X0) & f37(f80,X0) = sK17(X0,X1))),
% 38.49/5.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f872,f1032])).
% 38.49/5.64
% 38.49/5.64 tff(f1048,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2'] : (? [X2 : 'S16'] : (f32(X2,f24(f37(f80,X0),X1)) = f24(f37(f80,f32(X2,X0)),X1) & f33(f40,f122) = X2) => (f32(sK34(X0,X1),f24(f37(f80,X0),X1)) = f24(f37(f80,f32(sK34(X0,X1),X0)),X1) & f33(f40,f122) = sK34(X0,X1)))),
% 38.49/5.64 introduced(choice_axiom,[])).
% 38.49/5.64
% 38.49/5.64 tff(f1049,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2'] : (f32(sK34(X0,X1),f24(f37(f80,X0),X1)) = f24(f37(f80,f32(sK34(X0,X1),X0)),X1) & f33(f40,f122) = sK34(X0,X1))),
% 38.49/5.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f681,f1048])).
% 38.49/5.64
% 38.49/5.64 tff(f1054,plain,(
% 38.49/5.64 ! [X0 : 'S2',X1 : 'S2'] : (? [X2 : $int] : ((f120 = f54(f55(f56,f37(f80,f24(f37(f80,f24(f123,X1)),X0))),f57(f58(f7(f8,0)),X1)) | ~$less(X2,f9(f10,X1)) | ~$less(0,X2)) & f9(f10,X0) = X2) => ((f120 = f54(f55(f56,f37(f80,f24(f37(f80,f24(f123,X1)),X0))),f57(f58(f7(f8,0)),X1)) | ~$less(sK37(X0,X1),f9(f10,X1)) | ~$less(0,sK37(X0,X1))) & f9(f10,X0) = sK37(X0,X1)))),
% 38.49/5.64 introduced(choice_axiom,[])).
% 38.49/5.64
% 38.49/5.64 tff(f1055,plain,(
% 38.49/5.64 ! [X0 : 'S2',X1 : 'S2'] : ((f120 = f54(f55(f56,f37(f80,f24(f37(f80,f24(f123,X1)),X0))),f57(f58(f7(f8,0)),X1)) | ~$less(sK37(X0,X1),f9(f10,X1)) | ~$less(0,sK37(X0,X1))) & f9(f10,X0) = sK37(X0,X1))),
% 38.49/5.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f880,f1054])).
% 38.49/5.64
% 38.49/5.64 tff(f1085,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13'] : (((f122 = f32(f33(f40,X1),X0) | X0 != X1) & (X0 = X1 | f122 != f32(f33(f40,X1),X0))) | f120 = X0)),
% 38.49/5.64 inference(nnf_transformation,[],[f890])).
% 38.49/5.64
% 38.49/5.64 tff(f1119,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13'] : ((f120 = f32(f33(f34,X0),X1) | X0 != X1) & (X0 = X1 | f120 != f32(f33(f34,X0),X1)))),
% 38.49/5.64 inference(nnf_transformation,[],[f169])).
% 38.49/5.64
% 38.49/5.64 tff(f1321,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13',X2 : 'S13'] : (? [X3 : 'S16'] : (f32(X3,f32(f33(f40,X1),X2)) = f32(f33(f40,f32(X3,X1)),X2) & f33(f44,X0) = X3) => (f32(sK165(X0,X1,X2),f32(f33(f40,X1),X2)) = f32(f33(f40,f32(sK165(X0,X1,X2),X1)),X2) & f33(f44,X0) = sK165(X0,X1,X2)))),
% 38.49/5.64 introduced(choice_axiom,[])).
% 38.49/5.64
% 38.49/5.64 tff(f1322,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13',X2 : 'S13'] : (f32(sK165(X0,X1,X2),f32(f33(f40,X1),X2)) = f32(f33(f40,f32(sK165(X0,X1,X2),X1)),X2) & f33(f44,X0) = sK165(X0,X1,X2))),
% 38.49/5.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK165])],[f793,f1321])).
% 38.49/5.64
% 38.49/5.64 tff(f1327,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2',X2 : 'S2'] : (? [X3 : 'S12'] : (f24(X3,f7(f8,$product(f9(f10,X1),f9(f10,X2)))) = f24(f37(f80,f24(X3,X1)),X2) & f37(f80,X0) = X3) => (f24(sK168(X0,X1,X2),f7(f8,$product(f9(f10,X1),f9(f10,X2)))) = f24(f37(f80,f24(sK168(X0,X1,X2),X1)),X2) & f37(f80,X0) = sK168(X0,X1,X2)))),
% 38.49/5.64 introduced(choice_axiom,[])).
% 38.49/5.64
% 38.49/5.64 tff(f1328,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2',X2 : 'S2'] : (f24(sK168(X0,X1,X2),f7(f8,$product(f9(f10,X1),f9(f10,X2)))) = f24(f37(f80,f24(sK168(X0,X1,X2),X1)),X2) & f37(f80,X0) = sK168(X0,X1,X2))),
% 38.49/5.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK168])],[f798,f1327])).
% 38.49/5.64
% 38.49/5.64 tff(f1333,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2',X2 : 'S2'] : (? [X3 : 'S12'] : (f24(X3,f7(f8,$product(f9(f10,X1),f9(f10,X2)))) = f24(f37(f80,f24(X3,X1)),X2) & f37(f80,X0) = X3) => (f24(sK171(X0,X1,X2),f7(f8,$product(f9(f10,X1),f9(f10,X2)))) = f24(f37(f80,f24(sK171(X0,X1,X2),X1)),X2) & f37(f80,X0) = sK171(X0,X1,X2)))),
% 38.49/5.64 introduced(choice_axiom,[])).
% 38.49/5.64
% 38.49/5.64 tff(f1334,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S2',X2 : 'S2'] : (f24(sK171(X0,X1,X2),f7(f8,$product(f9(f10,X1),f9(f10,X2)))) = f24(f37(f80,f24(sK171(X0,X1,X2),X1)),X2) & f37(f80,X0) = sK171(X0,X1,X2))),
% 38.49/5.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK171])],[f801,f1333])).
% 38.49/5.64
% 38.49/5.64 tff(f1355,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13',X2 : 'S13'] : ((f32(f33(f40,X0),X1) = X2 | ((f120 != X2 & f120 = X1) | (f32(f33(f44,X2),X1) != X0 & f120 != X1))) & (((f120 = X2 | f120 != X1) & (f32(f33(f44,X2),X1) = X0 | f120 = X1)) | f32(f33(f40,X0),X1) != X2))),
% 38.49/5.64 inference(nnf_transformation,[],[f964])).
% 38.49/5.64
% 38.49/5.64 tff(f1356,plain,(
% 38.49/5.64 ! [X0 : 'S13',X1 : 'S13',X2 : 'S13'] : ((f32(f33(f40,X0),X1) = X2 | (f120 != X2 & f120 = X1) | (f32(f33(f44,X2),X1) != X0 & f120 != X1)) & (((f120 = X2 | f120 != X1) & (f32(f33(f44,X2),X1) = X0 | f120 = X1)) | f32(f33(f40,X0),X1) != X2))),
% 38.49/5.64 inference(flattening,[],[f1355])).
% 38.49/5.64
% 38.49/5.64 tff(f1546,plain,(
% 38.49/5.64 f24(f37(f80,f32(f33(f40,f122),f24(f123,f124))),f125) = sK13),
% 38.49/5.64 inference(cnf_transformation,[],[f1029])).
% 38.49/5.64
% 38.49/5.64 tff(f1547,plain,(
% 38.49/5.64 f37(f80,sK13) = sK14),
% 38.49/5.64 inference(cnf_transformation,[],[f1029])).
% 38.49/5.64
% 38.49/5.64 tff(f1548,plain,(
% 38.49/5.64 f54(f55(f56,sK14),f57(f58(f7(f8,0)),f124)) != f32(f33(f40,f32(f33(f34,f24(sK14,f124)),f122)),f32(f33(f34,sK13),f122))),
% 38.49/5.64 inference(cnf_transformation,[],[f1029])).
% 38.49/5.64
% 38.49/5.64 tff(f1549,plain,(
% 38.49/5.64 $less(0,f9(f10,f125))),
% 38.49/5.64 inference(cnf_transformation,[],[f56])).
% 38.49/5.64
% 38.49/5.64 tff(f1550,plain,(
% 38.49/5.64 $less(f9(f10,f125),f9(f10,f124))),
% 38.49/5.64 inference(cnf_transformation,[],[f57])).
% 38.49/5.64
% 38.49/5.64 tff(f1551,plain,(
% 38.49/5.64 ( ! [X0 : 'S2'] : (f122 = f24(f37(f80,f24(f123,X0)),X0)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f58])).
% 38.49/5.64
% 38.49/5.64 tff(f1555,plain,(
% 38.49/5.64 ( ! [X0 : 'S13',X1 : 'S2'] : (f37(f80,X0) = sK17(X0,X1)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f1033])).
% 38.49/5.64
% 38.49/5.64 tff(f1556,plain,(
% 38.49/5.64 ( ! [X0 : 'S13',X1 : 'S2'] : (f54(f55(f56,sK17(X0,X1)),f57(f58(f7(f8,0)),X1)) = f32(f33(f40,f32(f33(f34,f24(sK17(X0,X1),X1)),f122)),f32(f33(f34,X0),f122)) | f122 = X0) )),
% 38.49/5.64 inference(cnf_transformation,[],[f1033])).
% 38.49/5.64
% 38.49/5.64 tff(f1580,plain,(
% 38.49/5.64 ( ! [X0 : 'S13',X1 : 'S2'] : (f33(f40,f122) = sK34(X0,X1)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f1049])).
% 38.49/5.64
% 38.49/5.64 tff(f1581,plain,(
% 38.49/5.64 ( ! [X0 : 'S13',X1 : 'S2'] : (f32(sK34(X0,X1),f24(f37(f80,X0),X1)) = f24(f37(f80,f32(sK34(X0,X1),X0)),X1)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f1049])).
% 38.49/5.64
% 38.49/5.64 tff(f1594,plain,(
% 38.49/5.64 ( ! [X0 : 'S2',X1 : 'S2'] : (f9(f10,X0) = sK37(X0,X1)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f1055])).
% 38.49/5.64
% 38.49/5.64 tff(f1595,plain,(
% 38.49/5.64 ( ! [X0 : 'S2',X1 : 'S2'] : (f120 = f54(f55(f56,f37(f80,f24(f37(f80,f24(f123,X1)),X0))),f57(f58(f7(f8,0)),X1)) | ~$less(sK37(X0,X1),f9(f10,X1)) | ~$less(0,sK37(X0,X1))) )),
% 38.49/5.64 inference(cnf_transformation,[],[f1055])).
% 38.49/5.64
% 38.49/5.64 tff(f1597,plain,(
% 38.49/5.64 ( ! [X2 : 'S2',X0 : 'S13',X1 : 'S13'] : (f24(f37(f80,f32(f33(f40,X0),X1)),X2) = f32(f33(f40,f24(f37(f80,X0),X2)),f24(f37(f80,X1),X2))) )),
% 38.49/5.64 inference(cnf_transformation,[],[f81])).
% 38.49/5.64
% 38.49/5.64 tff(f1609,plain,(
% 38.49/5.64 f120 != f122),
% 38.49/5.64 inference(cnf_transformation,[],[f91])).
% 38.49/5.64
% 38.49/5.64 tff(f1660,plain,(
% 38.49/5.64 ( ! [X0 : 'S13',X1 : 'S13'] : (X0 = X1 | f122 != f32(f33(f40,X1),X0) | f120 = X0) )),
% 38.49/5.64 inference(cnf_transformation,[],[f1085])).
% 38.49/5.64
% 38.49/5.64 tff(f1678,plain,(
% 38.49/5.64 ( ! [X2 : 'S2',X0 : 'S13',X1 : 'S13'] : (f24(f37(f80,f32(f33(f40,X1),X0)),X2) = f32(f33(f40,f24(f37(f80,X1),X2)),f24(f37(f80,X0),X2)) | f120 = X0) )),
% 38.49/5.64 inference(cnf_transformation,[],[f900])).
% 38.49/5.64
% 38.49/5.64 tff(f1705,plain,(
% 38.49/5.64 ( ! [X0 : 'S2'] : (f122 = f24(f37(f80,f122),X0)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f144])).
% 38.49/5.64
% 38.49/5.64 tff(f1708,plain,(
% 38.49/5.64 ( ! [X0 : 'S13'] : (f32(f33(f40,X0),f122) = X0) )),
% 38.49/5.64 inference(cnf_transformation,[],[f147])).
% 38.49/5.64
% 38.49/5.64 tff(f1739,plain,(
% 38.49/5.64 ( ! [X0 : 'S13',X1 : 'S13'] : (X0 = X1 | f120 != f32(f33(f34,X0),X1)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f1119])).
% 38.49/5.64
% 38.49/5.64 tff(f1750,plain,(
% 38.49/5.64 ( ! [X0 : 'S13'] : (f120 = f32(f33(f34,X0),X0)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f175])).
% 38.49/5.64
% 38.49/5.64 tff(f1877,plain,(
% 38.49/5.64 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product($product(X0,X1),X2) = $product(X0,$product(X1,X2))) )),
% 38.49/5.64 inference(cnf_transformation,[],[f245])).
% 38.49/5.64
% 38.49/5.64 tff(f1878,plain,(
% 38.49/5.64 ( ! [X2 : $real,X0 : $real,X1 : $real] : ($product($product(X0,X1),X2) = $product(X0,$product(X1,X2))) )),
% 38.49/5.64 inference(cnf_transformation,[],[f246])).
% 38.49/5.64
% 38.49/5.64 tff(f1888,plain,(
% 38.49/5.64 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f251])).
% 38.49/5.64
% 38.49/5.64 tff(f1889,plain,(
% 38.49/5.64 ( ! [X0 : $real,X1 : $real] : ($product(X0,X1) = $product(X1,X0)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f252])).
% 38.49/5.64
% 38.49/5.64 tff(f1932,plain,(
% 38.49/5.64 ( ! [X0 : 'S13',X1 : 'S13'] : (f120 != f32(f33(f44,X0),X1) | f120 = X1 | f120 = X0) )),
% 38.49/5.64 inference(cnf_transformation,[],[f932])).
% 38.49/5.64
% 38.49/5.64 tff(f1940,plain,(
% 38.49/5.64 ( ! [X0 : 'S13'] : (f120 = f32(f33(f44,f120),X0)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f285])).
% 38.49/5.64
% 38.49/5.64 tff(f1954,plain,(
% 38.49/5.64 ( ! [X0 : 'S13'] : (f32(f33(f44,X0),f122) = X0) )),
% 38.49/5.64 inference(cnf_transformation,[],[f298])).
% 38.49/5.64
% 38.49/5.64 tff(f2059,plain,(
% 38.49/5.64 ( ! [X2 : 'S13',X0 : 'S13',X1 : 'S13'] : (f33(f44,X0) = sK165(X0,X1,X2)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f1322])).
% 38.49/5.64
% 38.49/5.64 tff(f2060,plain,(
% 38.49/5.64 ( ! [X2 : 'S13',X0 : 'S13',X1 : 'S13'] : (f32(sK165(X0,X1,X2),f32(f33(f40,X1),X2)) = f32(f33(f40,f32(sK165(X0,X1,X2),X1)),X2)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f1322])).
% 38.49/5.64
% 38.49/5.64 tff(f2067,plain,(
% 38.49/5.64 ( ! [X2 : 'S2',X0 : 'S13',X1 : 'S2'] : (f37(f80,X0) = sK168(X0,X1,X2)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f1328])).
% 38.49/5.64
% 38.49/5.64 tff(f2068,plain,(
% 38.49/5.64 ( ! [X2 : 'S2',X0 : 'S13',X1 : 'S2'] : (f24(sK168(X0,X1,X2),f7(f8,$product(f9(f10,X1),f9(f10,X2)))) = f24(f37(f80,f24(sK168(X0,X1,X2),X1)),X2)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f1328])).
% 38.49/5.64
% 38.49/5.64 tff(f2073,plain,(
% 38.49/5.64 ( ! [X2 : 'S2',X0 : 'S13',X1 : 'S2'] : (f37(f80,X0) = sK171(X0,X1,X2)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f1334])).
% 38.49/5.64
% 38.49/5.64 tff(f2074,plain,(
% 38.49/5.64 ( ! [X2 : 'S2',X0 : 'S13',X1 : 'S2'] : (f24(sK171(X0,X1,X2),f7(f8,$product(f9(f10,X1),f9(f10,X2)))) = f24(f37(f80,f24(sK171(X0,X1,X2),X1)),X2)) )),
% 38.49/5.64 inference(cnf_transformation,[],[f1334])).
% 38.49/5.64
% 38.49/5.64 tff(f2128,plain,(
% 38.49/5.64 ( ! [X2 : 'S13',X0 : 'S13',X1 : 'S13'] : (f32(f33(f44,X2),X1) = X0 | f120 = X1 | f32(f33(f40,X0),X1) != X2) )),
% 38.49/5.64 inference(cnf_transformation,[],[f1356])).
% 38.49/5.64
% 38.49/5.64 tff(f2129,plain,(
% 38.49/5.64 ( ! [X2 : 'S13',X0 : 'S13',X1 : 'S13'] : (f120 = X2 | f120 != X1 | f32(f33(f40,X0),X1) != X2) )),
% 38.49/5.64 inference(cnf_transformation,[],[f1356])).
% 38.49/5.64
% 38.49/5.64 tff(f2348,plain,(
% 38.49/5.64 ( ! [X0 : 'S13',X1 : 'S2'] : (f54(f55(f56,f37(f80,X0)),f57(f58(f7(f8,0)),X1)) = f32(f33(f40,f32(f33(f34,f24(f37(f80,X0),X1)),f122)),f32(f33(f34,X0),f122)) | f122 = X0) )),
% 38.49/5.64 inference(definition_unfolding,[],[f1556,f1555,f1555])).
% 38.49/5.64
% 38.49/5.64 tff(f2356,plain,(
% 38.49/5.64 ( ! [X0 : 'S13',X1 : 'S2'] : (f32(f33(f40,f122),f24(f37(f80,X0),X1)) = f24(f37(f80,f32(f33(f40,f122),X0)),X1)) )),
% 38.49/5.64 inference(definition_unfolding,[],[f1581,f1580,f1580])).
% 38.49/5.64
% 38.49/5.64 tff(f2359,plain,(
% 38.49/5.64 ( ! [X0 : 'S2',X1 : 'S2'] : (f120 = f54(f55(f56,f37(f80,f24(f37(f80,f24(f123,X1)),X0))),f57(f58(f7(f8,0)),X1)) | ~$less(f9(f10,X0),f9(f10,X1)) | ~$less(0,f9(f10,X0))) )),
% 38.49/5.64 inference(definition_unfolding,[],[f1595,f1594,f1594])).
% 38.49/5.64
% 38.49/5.64 tff(f2467,plain,(
% 38.49/5.64 ( ! [X2 : 'S13',X0 : 'S13',X1 : 'S13'] : (f32(f33(f44,X0),f32(f33(f40,X1),X2)) = f32(f33(f40,f32(f33(f44,X0),X1)),X2)) )),
% 38.49/5.64 inference(definition_unfolding,[],[f2060,f2059,f2059])).
% 38.49/5.64
% 38.49/5.64 tff(f2470,plain,(
% 38.49/5.64 ( ! [X2 : 'S2',X0 : 'S13',X1 : 'S2'] : (f24(f37(f80,X0),f7(f8,$product(f9(f10,X1),f9(f10,X2)))) = f24(f37(f80,f24(f37(f80,X0),X1)),X2)) )),
% 38.49/5.64 inference(definition_unfolding,[],[f2068,f2067,f2067])).
% 38.49/5.64
% 38.49/5.64 tff(f2473,plain,(
% 38.49/5.64 ( ! [X2 : 'S2',X0 : 'S13',X1 : 'S2'] : (f24(f37(f80,X0),f7(f8,$product(f9(f10,X1),f9(f10,X2)))) = f24(f37(f80,f24(f37(f80,X0),X1)),X2)) )),
% 38.49/5.64 inference(definition_unfolding,[],[f2074,f2073,f2073])).
% 38.49/5.64
% 38.49/5.64 tff(f2663,plain,(
% 38.49/5.64 ( ! [X2 : 'S13',X0 : 'S13'] : (f120 = X2 | f32(f33(f40,X0),f120) != X2) )),
% 38.49/5.64 inference(equality_resolution,[],[f2129])).
% 38.49/5.64
% 38.49/5.64 tff(f2664,plain,(
% 38.49/5.64 ( ! [X0 : 'S13'] : (f120 = f32(f33(f40,X0),f120)) )),
% 38.49/5.64 inference(equality_resolution,[],[f2663])).
% 38.49/5.64
% 38.49/5.64 tff(f2665,plain,(
% 38.49/5.64 ( ! [X0 : 'S13',X1 : 'S13'] : (f32(f33(f44,f32(f33(f40,X0),X1)),X1) = X0 | f120 = X1) )),
% 38.49/5.64 inference(equality_resolution,[],[f2128])).
% 38.49/5.64
% 38.49/5.64 cnf(c_55,plain,
% 38.49/5.64 ($product_real($product_real(X0_2,X1_2),X2_2) = $product_real(X0_2,$product_real(X1_2,X2_2))),
% 38.49/5.64 inference(cnf_transformation,[],[f640])).
% 38.49/5.64
% 38.49/5.64 cnf(c_56,plain,
% 38.49/5.64 ($product_real(X0_2,X1_2) = $product_real(X1_2,X0_2)),
% 38.49/5.64 inference(cnf_transformation,[],[f639])).
% 38.49/5.64
% 38.49/5.64 cnf(c_66,plain,
% 38.49/5.64 ($sum_real($sum_real(X0_2,X1_2),X2_2) = $sum_real(X0_2,$sum_real(X1_2,X2_2))),
% 38.49/5.64 inference(cnf_transformation,[],[f629])).
% 38.49/5.64
% 38.49/5.64 cnf(c_67,plain,
% 38.49/5.64 ($sum_real(X0_2,X1_2) = $sum_real(X1_2,X0_2)),
% 38.49/5.64 inference(cnf_transformation,[],[f628])).
% 38.49/5.64
% 38.49/5.64 cnf(c_73,plain,
% 38.49/5.64 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 38.49/5.64 inference(cnf_transformation,[],[f622])).
% 38.49/5.64
% 38.49/5.64 cnf(c_74,plain,
% 38.49/5.64 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 38.49/5.64 inference(cnf_transformation,[],[f621])).
% 38.49/5.64
% 38.49/5.64 cnf(c_84,plain,
% 38.49/5.64 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 38.49/5.64 inference(cnf_transformation,[],[f611])).
% 38.49/5.64
% 38.49/5.64 cnf(c_85,plain,
% 38.49/5.64 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 38.49/5.64 inference(cnf_transformation,[],[f610])).
% 38.49/5.64
% 38.49/5.64 cnf(c_140,negated_conjecture,
% 38.49/5.64 (f32(f33(f40,f32(f33(f34,f24(sK14,f124)),f122)),f32(f33(f34,sK13),f122)) != f54(f55(f56,sK14),f57(f58(f7(f8,0)),f124))),
% 38.49/5.64 inference(cnf_transformation,[],[f1548])).
% 38.49/5.64
% 38.49/5.64 cnf(c_141,plain,
% 38.49/5.64 (f37(f80,sK13) = sK14),
% 38.49/5.64 inference(cnf_transformation,[],[f1547])).
% 38.49/5.64
% 38.49/5.64 cnf(c_142,plain,
% 38.49/5.64 (f24(f37(f80,f32(f33(f40,f122),f24(f123,f124))),f125) = sK13),
% 38.49/5.64 inference(cnf_transformation,[],[f1546])).
% 38.49/5.64
% 38.49/5.64 cnf(c_143,plain,
% 38.49/5.64 ($less_int(0,f9(f10,f125))),
% 38.49/5.64 inference(cnf_transformation,[],[f1549])).
% 38.49/5.64
% 38.49/5.64 cnf(c_144,plain,
% 38.49/5.64 ($less_int(f9(f10,f125),f9(f10,f124))),
% 38.49/5.64 inference(cnf_transformation,[],[f1550])).
% 38.49/5.64
% 38.49/5.64 cnf(c_145,plain,
% 38.49/5.64 (f24(f37(f80,f24(f123,X0_13)),X0_13) = f122),
% 38.49/5.64 inference(cnf_transformation,[],[f1551])).
% 38.49/5.64
% 38.49/5.64 cnf(c_147,plain,
% 38.49/5.64 (f32(f33(f40,f32(f33(f34,f24(f37(f80,X0_43),X0_13)),f122)),f32(f33(f34,X0_43),f122)) = f54(f55(f56,f37(f80,X0_43)),f57(f58(f7(f8,0)),X0_13))|
% 38.49/5.64 X0_43 = f122),
% 38.49/5.64 inference(cnf_transformation,[],[f2348])).
% 38.49/5.64
% 38.49/5.64 cnf(c_155,plain,
% 38.49/5.64 (f32(f33(f40,f122),f24(f37(f80,X0_43),X0_13)) = f24(f37(f80,f32(f33(f40,f122),X0_43)),X0_13)),
% 38.49/5.64 inference(cnf_transformation,[],[f2356])).
% 38.49/5.64
% 38.49/5.64 cnf(c_166,plain,
% 38.49/5.64 (~$less_int(f9(f10,X0_13),f9(f10,X1_13))|~$less_int(0,f9(f10,X0_13))|
% 38.49/5.64 f54(f55(f56,f37(f80,f24(f37(f80,f24(f123,X1_13)),X0_13))),f57(f58(f7(f8,0)),X1_13)) = f120),
% 38.49/5.64 inference(cnf_transformation,[],[f2359])).
% 38.49/5.64
% 38.49/5.64 cnf(c_168,plain,
% 38.49/5.64 (f32(f33(f40,f24(f37(f80,X0_43),X0_13)),f24(f37(f80,X1_43),X0_13)) = f24(f37(f80,f32(f33(f40,X0_43),X1_43)),X0_13)),
% 38.49/5.64 inference(cnf_transformation,[],[f1597])).
% 38.49/5.64
% 38.49/5.64 cnf(c_178,negated_conjecture,
% 38.49/5.64 (f122 != f120),
% 38.49/5.64 inference(cnf_transformation,[],[f1609])).
% 38.49/5.64
% 38.49/5.64 cnf(c_219,plain,
% 38.49/5.64 (f32(f33(f40,X0_43),X1_43) != f122|X0_43 = X1_43|X1_43 = f120),
% 38.49/5.64 inference(cnf_transformation,[],[f1660])).
% 38.49/5.64
% 38.49/5.64 cnf(c_229,plain,
% 38.49/5.64 (f32(f33(f40,f24(f37(f80,X0_43),X0_13)),f24(f37(f80,X1_43),X0_13)) = f24(f37(f80,f32(f33(f40,X0_43),X1_43)),X0_13)|
% 38.49/5.64 X1_43 = f120),
% 38.49/5.64 inference(cnf_transformation,[],[f1678])).
% 38.49/5.64
% 38.49/5.64 cnf(c_247,plain,
% 38.49/5.64 (f24(f37(f80,f122),X0_13) = f122),
% 38.49/5.64 inference(cnf_transformation,[],[f1705])).
% 38.49/5.64
% 38.49/5.64 cnf(c_250,plain,
% 38.49/5.64 (f32(f33(f40,X0_43),f122) = X0_43),
% 38.49/5.64 inference(cnf_transformation,[],[f1708])).
% 38.49/5.64
% 38.49/5.64 cnf(c_279,plain,
% 38.49/5.64 (f32(f33(f34,X0_43),X1_43) != f120|X0_43 = X1_43),
% 38.49/5.64 inference(cnf_transformation,[],[f1739])).
% 38.49/5.64
% 38.49/5.64 cnf(c_289,plain,
% 38.49/5.64 (f32(f33(f34,X0_43),X0_43) = f120),
% 38.49/5.64 inference(cnf_transformation,[],[f1750])).
% 38.49/5.64
% 38.49/5.64 cnf(c_372,plain,
% 38.49/5.64 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 38.49/5.64 inference(cnf_transformation,[],[f1877])).
% 38.49/5.64
% 38.49/5.64 cnf(c_373,plain,
% 38.49/5.64 ($product_real($product_real(X0_2,X1_2),X2_2) = $product_real(X0_2,$product_real(X1_2,X2_2))),
% 38.49/5.64 inference(cnf_transformation,[],[f1878])).
% 38.49/5.64
% 38.49/5.64 cnf(c_379,plain,
% 38.49/5.64 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 38.49/5.64 inference(cnf_transformation,[],[f1888])).
% 38.49/5.64
% 38.49/5.64 cnf(c_380,plain,
% 38.49/5.64 ($product_real(X0_2,X1_2) = $product_real(X1_2,X0_2)),
% 38.49/5.64 inference(cnf_transformation,[],[f1889])).
% 38.49/5.64
% 38.49/5.64 cnf(c_413,plain,
% 38.49/5.64 (f32(f33(f44,X0_43),X1_43) != f120|X0_43 = f120|X1_43 = f120),
% 38.49/5.64 inference(cnf_transformation,[],[f1932])).
% 38.49/5.64
% 38.49/5.64 cnf(c_419,plain,
% 38.49/5.64 (f32(f33(f44,f120),X0_43) = f120),
% 38.49/5.64 inference(cnf_transformation,[],[f1940])).
% 38.49/5.64
% 38.49/5.64 cnf(c_432,plain,
% 38.49/5.64 (f32(f33(f44,X0_43),f122) = X0_43),
% 38.49/5.64 inference(cnf_transformation,[],[f1954])).
% 38.49/5.64
% 38.49/5.64 cnf(c_503,plain,
% 38.49/5.64 (f32(f33(f40,f32(f33(f44,X0_43),X1_43)),X2_43) = f32(f33(f44,X0_43),f32(f33(f40,X1_43),X2_43))),
% 38.49/5.64 inference(cnf_transformation,[],[f2467])).
% 38.49/5.64
% 38.49/5.64 cnf(c_508,plain,
% 38.49/5.64 (f24(f37(f80,X0_43),f7(f8,$product_int(f9(f10,X0_13),f9(f10,X1_13)))) = f24(f37(f80,f24(f37(f80,X0_43),X0_13)),X1_13)),
% 38.49/5.64 inference(cnf_transformation,[],[f2470])).
% 38.49/5.64
% 38.49/5.64 cnf(c_511,plain,
% 38.49/5.64 (f24(f37(f80,X0_43),f7(f8,$product_int(f9(f10,X0_13),f9(f10,X1_13)))) = f24(f37(f80,f24(f37(f80,X0_43),X0_13)),X1_13)),
% 38.49/5.64 inference(cnf_transformation,[],[f2473])).
% 38.49/5.64
% 38.49/5.64 cnf(c_560,plain,
% 38.49/5.64 (f32(f33(f40,X0_43),f120) = f120),
% 38.49/5.64 inference(cnf_transformation,[],[f2664])).
% 38.49/5.64
% 38.49/5.64 cnf(c_561,plain,
% 38.49/5.64 (f32(f33(f44,f32(f33(f40,X0_43),X1_43)),X1_43) = X0_43|X1_43 = f120),
% 38.49/5.64 inference(cnf_transformation,[],[f2665])).
% 38.49/5.64
% 38.49/5.64 cnf(c_1099,plain,
% 38.49/5.64 (f32(f33(f40,f24(f37(f80,X0_43),X0_13)),f24(f37(f80,X1_43),X0_13)) = f24(f37(f80,f32(f33(f40,X0_43),X1_43)),X0_13)),
% 38.49/5.64 inference(global_subsumption_just,[status(thm)],[c_229,c_168])).
% 38.49/5.64
% 38.49/5.64 cnf(c_3496,plain,
% 38.49/5.64 (f37(f80,f24(f37(f80,f32(f33(f40,f122),f24(f123,f124))),f125)) = sK14),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_141,c_142])).
% 38.49/5.64
% 38.49/5.64 cnf(c_3667,plain,
% 38.49/5.64 (f37(f80,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))) = sK14),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_3496,c_155])).
% 38.49/5.64
% 38.49/5.64 cnf(c_3668,plain,
% 38.49/5.64 (f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = sK13),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_142,c_155])).
% 38.49/5.64
% 38.49/5.64 cnf(c_3951,plain,
% 38.49/5.64 (f32(f33(f40,f32(f33(f34,f24(f37(f80,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f124)),f122)),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122)) != f54(f55(f56,f37(f80,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)))),f57(f58(f7(f8,0)),f124))),
% 38.49/5.64 inference(light_normalisation,[status(thm)],[c_140,c_3667,c_3668])).
% 38.49/5.64
% 38.49/5.64 cnf(c_3952,plain,
% 38.49/5.64 (f32(f33(f40,f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f7(f8,$product_int(f9(f10,f125),f9(f10,f124)))))),f122)),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122)) != f54(f55(f56,f37(f80,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)))),f57(f58(f7(f8,0)),f124))),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_3951,c_1099,c_247,c_508])).
% 38.49/5.64
% 38.49/5.64 cnf(c_4303,plain,
% 38.49/5.64 (f32(f33(f40,f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f7(f8,$product_int(f9(f10,f124),f9(f10,f125)))))),f122)),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122)) != f54(f55(f56,f37(f80,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)))),f57(f58(f7(f8,0)),f124))),
% 38.49/5.64 inference(theory_normalisation,
% 38.49/5.64 [status(thm)],
% 38.49/5.64 [c_3952,c_73,c_74,c_84,c_85,c_55,c_56,c_66,c_67])).
% 38.49/5.64
% 38.49/5.64 cnf(c_23078,plain,
% 38.49/5.64 (f32(f33(f40,f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f7(f8,$product_int(f9(f10,f124),f9(f10,f125)))))),f122)),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122)) != f32(f33(f40,f32(f33(f34,f24(f37(f80,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f124)),f122)),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122))|
% 38.49/5.64 f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = f122),
% 38.49/5.64 inference(superposition,[status(thm)],[c_147,c_4303])).
% 38.49/5.64
% 38.49/5.64 cnf(c_24218,plain,
% 38.49/5.64 (f32(f33(f40,f32(f33(f34,f32(f33(f40,f24(f37(f80,f122),f124)),f24(f37(f80,f24(f37(f80,f24(f123,f124)),f125)),f124))),f122)),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122)) != f32(f33(f40,f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f7(f8,$product_int(f9(f10,f124),f9(f10,f125)))))),f122)),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122))|
% 38.49/5.64 f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = f122),
% 38.49/5.64 inference(superposition,[status(thm)],[c_168,c_23078])).
% 38.49/5.64
% 38.49/5.64 cnf(c_24237,plain,
% 38.49/5.64 (f32(f33(f40,f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f7(f8,$product_int(f9(f10,f124),f9(f10,f125)))))),f122)),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122)) != f32(f33(f40,f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f37(f80,f24(f123,f124)),f125)),f124))),f122)),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122))|
% 38.49/5.64 f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = f122),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_24218,c_247])).
% 38.49/5.64
% 38.49/5.64 cnf(c_24660,plain,
% 38.49/5.64 (~$less_int(0,f9(f10,f125))|f54(f55(f56,f37(f80,f24(f37(f80,f24(f123,f124)),f125))),f57(f58(f7(f8,0)),f124)) = f120),
% 38.49/5.64 inference(superposition,[status(thm)],[c_144,c_166])).
% 38.49/5.64
% 38.49/5.64 cnf(c_24671,plain,
% 38.49/5.64 (f54(f55(f56,f37(f80,f24(f37(f80,f24(f123,f124)),f125))),f57(f58(f7(f8,0)),f124)) = f120),
% 38.49/5.64 inference(forward_subsumption_resolution,[status(thm)],[c_24660,c_143])).
% 38.49/5.64
% 38.49/5.64 cnf(c_25023,plain,
% 38.49/5.64 (f32(f33(f40,f32(f33(f34,f24(f37(f80,f24(f37(f80,f24(f123,f124)),f125)),f124)),f122)),f32(f33(f34,f24(f37(f80,f24(f123,f124)),f125)),f122)) = f120|
% 38.49/5.64 f24(f37(f80,f24(f123,f124)),f125) = f122),
% 38.49/5.64 inference(superposition,[status(thm)],[c_147,c_24671])).
% 38.49/5.64
% 38.49/5.64 cnf(c_54725,plain,
% 38.49/5.64 (f32(f33(f44,X0_43),f32(f33(f40,f122),X1_43)) = f32(f33(f40,X0_43),X1_43)),
% 38.49/5.64 inference(superposition,[status(thm)],[c_432,c_503])).
% 38.49/5.64
% 38.49/5.64 cnf(c_54759,plain,
% 38.49/5.64 (f32(f33(f44,f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f7(f8,$product_int(f9(f10,f124),f9(f10,f125)))))),f122)),f32(f33(f40,f122),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122))) != f32(f33(f40,f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f37(f80,f24(f123,f124)),f125)),f124))),f122)),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122))|
% 38.49/5.64 f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = f122),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_24237,c_54725])).
% 38.49/5.64
% 38.49/5.64 cnf(c_54760,plain,
% 38.49/5.64 (f32(f33(f44,f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f7(f8,$product_int(f9(f10,f124),f9(f10,f125)))))),f122)),f32(f33(f40,f122),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122))) != f54(f55(f56,f37(f80,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)))),f57(f58(f7(f8,0)),f124))),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_4303,c_54725])).
% 38.49/5.64
% 38.49/5.64 cnf(c_54761,plain,
% 38.49/5.64 (f32(f33(f44,f32(f33(f34,f24(f37(f80,f24(f37(f80,f24(f123,f124)),f125)),f124)),f122)),f32(f33(f40,f122),f32(f33(f34,f24(f37(f80,f24(f123,f124)),f125)),f122))) = f120|
% 38.49/5.64 f24(f37(f80,f24(f123,f124)),f125) = f122),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_25023,c_54725])).
% 38.49/5.64
% 38.49/5.64 cnf(c_54772,plain,
% 38.49/5.64 (f32(f33(f44,f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f7(f8,$product_int(f9(f10,f124),f9(f10,f125)))))),f122)),f32(f33(f40,f122),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122))) != f32(f33(f44,f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f37(f80,f24(f123,f124)),f125)),f124))),f122)),f32(f33(f40,f122),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122)))|
% 38.49/5.64 f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = f122),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_54759,c_54725])).
% 38.49/5.64
% 38.49/5.64 cnf(c_54838,plain,
% 38.49/5.64 (f32(f33(f34,f24(f37(f80,f24(f37(f80,f24(f123,f124)),f125)),f124)),f122) = f120|
% 38.49/5.64 f32(f33(f40,f122),f32(f33(f34,f24(f37(f80,f24(f123,f124)),f125)),f122)) = f120|
% 38.49/5.64 f24(f37(f80,f24(f123,f124)),f125) = f122),
% 38.49/5.64 inference(superposition,[status(thm)],[c_54761,c_413])).
% 38.49/5.64
% 38.49/5.64 cnf(c_56252,plain,
% 38.49/5.64 (f32(f33(f40,f122),f32(f33(f34,f24(f37(f80,f24(f123,f124)),f125)),f122)) = f120|
% 38.49/5.64 f24(f37(f80,f24(f37(f80,f24(f123,f124)),f125)),f124) = f122|f24(f37(f80,f24(f123,f124)),f125) = f122),
% 38.49/5.64 inference(superposition,[status(thm)],[c_54838,c_279])).
% 38.49/5.64
% 38.49/5.64 cnf(c_57738,plain,
% 38.49/5.64 (f24(f37(f80,f24(f123,X0_13)),f7(f8,$product_int(f9(f10,X0_13),f9(f10,X1_13)))) = f24(f37(f80,f122),X1_13)),
% 38.49/5.64 inference(superposition,[status(thm)],[c_145,c_511])).
% 38.49/5.64
% 38.49/5.64 cnf(c_57777,plain,
% 38.49/5.64 (f32(f33(f40,f122),f32(f33(f34,f24(f37(f80,f24(f123,f124)),f125)),f122)) = f120|
% 38.49/5.64 f24(f37(f80,f24(f123,f124)),f7(f8,$product_int(f9(f10,f125),f9(f10,f124)))) = f122|
% 38.49/5.64 f24(f37(f80,f24(f123,f124)),f125) = f122),
% 38.49/5.64 inference(superposition,[status(thm)],[c_511,c_56252])).
% 38.49/5.64
% 38.49/5.64 cnf(c_57779,plain,
% 38.49/5.64 (f32(f33(f44,f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f7(f8,$product_int(f9(f10,f125),f9(f10,f124)))))),f122)),f32(f33(f40,f122),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122))) != f32(f33(f44,f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f7(f8,$product_int(f9(f10,f124),f9(f10,f125)))))),f122)),f32(f33(f40,f122),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122)))|
% 38.49/5.64 f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = f122),
% 38.49/5.64 inference(superposition,[status(thm)],[c_511,c_54772])).
% 38.49/5.64
% 38.49/5.64 cnf(c_57785,plain,
% 38.49/5.64 (f24(f37(f80,f24(f123,X0_13)),f7(f8,$product_int(f9(f10,X0_13),f9(f10,X1_13)))) = f122),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_57738,c_247])).
% 38.49/5.64
% 38.49/5.64 cnf(c_57814,plain,
% 38.49/5.64 (f32(f33(f40,f122),f32(f33(f34,f24(f37(f80,f24(f123,f124)),f125)),f122)) = f120|
% 38.49/5.64 f24(f37(f80,f24(f123,f124)),f7(f8,$product_int(f9(f10,f124),f9(f10,f125)))) = f122|
% 38.49/5.64 f24(f37(f80,f24(f123,f124)),f125) = f122),
% 38.49/5.64 inference(theory_normalisation,
% 38.49/5.64 [status(thm)],
% 38.49/5.64 [c_57777,c_66,c_67,c_373,c_380,c_84,c_85,c_372,c_379])).
% 38.49/5.64
% 38.49/5.64 cnf(c_57909,plain,
% 38.49/5.64 (f32(f33(f44,f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f7(f8,$product_int(f9(f10,f125),f9(f10,f124)))))),f122)),f32(f33(f40,f122),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122))) != f32(f33(f44,f32(f33(f34,f32(f33(f40,f122),f122)),f122)),f32(f33(f40,f122),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122)))|
% 38.49/5.64 f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = f122),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_57779,c_57785])).
% 38.49/5.64
% 38.49/5.64 cnf(c_57912,plain,
% 38.49/5.64 (f32(f33(f44,f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f7(f8,$product_int(f9(f10,f125),f9(f10,f124)))))),f122)),f32(f33(f40,f122),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122))) != f120|
% 38.49/5.64 f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = f122),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_57909,c_250,c_289,c_419])).
% 38.49/5.64
% 38.49/5.64 cnf(c_57913,plain,
% 38.49/5.64 (f32(f33(f44,f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f7(f8,$product_int(f9(f10,f124),f9(f10,f125)))))),f122)),f32(f33(f40,f122),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122))) != f120|
% 38.49/5.64 f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = f122),
% 38.49/5.64 inference(theory_normalisation,
% 38.49/5.64 [status(thm)],
% 38.49/5.64 [c_57912,c_66,c_67,c_373,c_380,c_84,c_85,c_372,c_379])).
% 38.49/5.64
% 38.49/5.64 cnf(c_57937,plain,
% 38.49/5.64 (f32(f33(f44,f32(f33(f34,f32(f33(f40,f122),f122)),f122)),f32(f33(f40,f122),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122))) != f54(f55(f56,f37(f80,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)))),f57(f58(f7(f8,0)),f124))),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_54760,c_57785])).
% 38.49/5.64
% 38.49/5.64 cnf(c_57938,plain,
% 38.49/5.64 (f54(f55(f56,f37(f80,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)))),f57(f58(f7(f8,0)),f124)) != f120),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_57937,c_250,c_289,c_419])).
% 38.49/5.64
% 38.49/5.64 cnf(c_59044,plain,
% 38.49/5.64 (f32(f33(f44,f32(f33(f34,f32(f33(f40,f122),f122)),f122)),f32(f33(f40,f122),f32(f33(f34,f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125))),f122))) != f120|
% 38.49/5.64 f32(f33(f40,f122),f32(f33(f34,f24(f37(f80,f24(f123,f124)),f125)),f122)) = f120|
% 38.49/5.64 f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = f122|f24(f37(f80,f24(f123,f124)),f125) = f122),
% 38.49/5.64 inference(superposition,[status(thm)],[c_57814,c_57913])).
% 38.49/5.64
% 38.49/5.64 cnf(c_59071,plain,
% 38.49/5.64 (f120 != f120|f32(f33(f40,f122),f32(f33(f34,f24(f37(f80,f24(f123,f124)),f125)),f122)) = f120|
% 38.49/5.64 f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = f122|f24(f37(f80,f24(f123,f124)),f125) = f122),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_59044,c_250,c_289,c_419])).
% 38.49/5.64
% 38.49/5.64 cnf(c_59072,plain,
% 38.49/5.64 (f32(f33(f40,f122),f32(f33(f34,f24(f37(f80,f24(f123,f124)),f125)),f122)) = f120|
% 38.49/5.64 f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = f122|f24(f37(f80,f24(f123,f124)),f125) = f122),
% 38.49/5.64 inference(equality_resolution_simp,[status(thm)],[c_59071])).
% 38.49/5.64
% 38.49/5.64 cnf(c_59665,plain,
% 38.49/5.64 (f32(f33(f44,f120),f32(f33(f34,f24(f37(f80,f24(f123,f124)),f125)),f122)) = f122|
% 38.49/5.64 f32(f33(f34,f24(f37(f80,f24(f123,f124)),f125)),f122) = f120|f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = f122|
% 38.49/5.64 f24(f37(f80,f24(f123,f124)),f125) = f122),
% 38.49/5.64 inference(superposition,[status(thm)],[c_59072,c_561])).
% 38.49/5.64
% 38.49/5.64 cnf(c_59742,plain,
% 38.49/5.64 (f32(f33(f44,f120),f32(f33(f34,f24(f37(f80,f24(f123,f124)),f125)),f122)) = f122|
% 38.49/5.64 f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = f122|f24(f37(f80,f24(f123,f124)),f125) = f122),
% 38.49/5.64 inference(forward_subsumption_resolution,[status(thm)],[c_59665,c_279])).
% 38.49/5.64
% 38.49/5.64 cnf(c_59743,plain,
% 38.49/5.64 (f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = f122|f24(f37(f80,f24(f123,f124)),f125) = f122|
% 38.49/5.64 f122 = f120),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_59742,c_419])).
% 38.49/5.64
% 38.49/5.64 cnf(c_59744,plain,
% 38.49/5.64 (f32(f33(f40,f122),f24(f37(f80,f24(f123,f124)),f125)) = f122|f24(f37(f80,f24(f123,f124)),f125) = f122),
% 38.49/5.64 inference(forward_subsumption_resolution,[status(thm)],[c_59743,c_178])).
% 38.49/5.64
% 38.49/5.64 cnf(c_60483,plain,
% 38.49/5.64 (f24(f37(f80,f24(f123,f124)),f125) = f122|f24(f37(f80,f24(f123,f124)),f125) = f120),
% 38.49/5.64 inference(superposition,[status(thm)],[c_59744,c_219])).
% 38.49/5.64
% 38.49/5.64 cnf(c_63193,plain,
% 38.49/5.64 (f54(f55(f56,f37(f80,f32(f33(f40,f122),f122))),f57(f58(f7(f8,0)),f124)) != f120|
% 38.49/5.64 f24(f37(f80,f24(f123,f124)),f125) = f120),
% 38.49/5.64 inference(superposition,[status(thm)],[c_60483,c_57938])).
% 38.49/5.64
% 38.49/5.64 cnf(c_63199,plain,
% 38.49/5.64 (f54(f55(f56,f37(f80,f122)),f57(f58(f7(f8,0)),f124)) = f120|f24(f37(f80,f24(f123,f124)),f125) = f120),
% 38.49/5.64 inference(superposition,[status(thm)],[c_60483,c_24671])).
% 38.49/5.64
% 38.49/5.64 cnf(c_63218,plain,
% 38.49/5.64 (f54(f55(f56,f37(f80,f122)),f57(f58(f7(f8,0)),f124)) != f120|f24(f37(f80,f24(f123,f124)),f125) = f120),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_63193,c_250])).
% 38.49/5.64
% 38.49/5.64 cnf(c_63223,plain,
% 38.49/5.64 (f24(f37(f80,f24(f123,f124)),f125) = f120),
% 38.49/5.64 inference(backward_subsumption_resolution,
% 38.49/5.64 [status(thm)],
% 38.49/5.64 [c_63199,c_63218])).
% 38.49/5.64
% 38.49/5.64 cnf(c_63227,plain,
% 38.49/5.64 (f54(f55(f56,f37(f80,f32(f33(f40,f122),f120))),f57(f58(f7(f8,0)),f124)) != f120),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_57938,c_63223])).
% 38.49/5.64
% 38.49/5.64 cnf(c_63235,plain,
% 38.49/5.64 (f54(f55(f56,f37(f80,f120)),f57(f58(f7(f8,0)),f124)) = f120),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_24671,c_63223])).
% 38.49/5.64
% 38.49/5.64 cnf(c_63292,plain,
% 38.49/5.64 (f54(f55(f56,f37(f80,f120)),f57(f58(f7(f8,0)),f124)) != f120),
% 38.49/5.64 inference(demodulation,[status(thm)],[c_63227,c_560])).
% 38.49/5.64
% 38.49/5.64 cnf(c_63293,plain,
% 38.49/5.64 ($false),
% 38.49/5.64 inference(backward_subsumption_resolution,
% 38.49/5.64 [status(thm)],
% 38.49/5.64 [c_63235,c_63292])).
% 38.49/5.64
% 38.49/5.64
% 38.49/5.64 % SZS output end CNFRefutation for theBenchmark.p
% 38.49/5.64
% 38.49/5.65
%------------------------------------------------------------------------------