TSTP Solution File: SWW826_1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW826_1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 03:26:43 EDT 2024
% Result : Unsatisfiable 23.61s 3.67s
% Output : CNFRefutation 23.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW826_1 : TPTP v8.1.2. Released v7.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n002.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 22:37:57 EDT 2024
% 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 --heuristic_context casc_unsat /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 23.61/3.67 % SZS status Started for theBenchmark.p
% 23.61/3.67 % SZS status Unsatisfiable for theBenchmark.p
% 23.61/3.67
% 23.61/3.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 23.61/3.67
% 23.61/3.67 ------ iProver source info
% 23.61/3.67
% 23.61/3.67 git: date: 2024-05-02 19:28:25 +0000
% 23.61/3.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 23.61/3.67 git: non_committed_changes: false
% 23.61/3.67
% 23.61/3.67 ------ Parsing...
% 23.61/3.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 23.61/3.67
% 23.61/3.67 ------ Preprocessing... sup_sim: 61 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e
% 23.61/3.67
% 23.61/3.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.61/3.67
% 23.61/3.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 23.61/3.67 ------ Proving...
% 23.61/3.67 ------ Problem Properties
% 23.61/3.67
% 23.61/3.67
% 23.61/3.67 clauses 253
% 23.61/3.67 conjectures 10
% 23.61/3.67 EPR 16
% 23.61/3.67 Horn 203
% 23.61/3.67 unary 173
% 23.61/3.67 binary 52
% 23.61/3.67 lits 372
% 23.61/3.67 lits eq 310
% 23.61/3.67 fd_pure 0
% 23.61/3.67 fd_pseudo 0
% 23.61/3.67 fd_cond 23
% 23.61/3.67 fd_pseudo_cond 9
% 23.61/3.67 AC symbols 4
% 23.61/3.67
% 23.61/3.67 ------ Input Options Time Limit: Unbounded
% 23.61/3.67
% 23.61/3.67
% 23.61/3.67 ------
% 23.61/3.67 Current options:
% 23.61/3.67 ------
% 23.61/3.67
% 23.61/3.67
% 23.61/3.67
% 23.61/3.67
% 23.61/3.67 ------ Proving...
% 23.61/3.67
% 23.61/3.67
% 23.61/3.67 % SZS status Unsatisfiable for theBenchmark.p
% 23.61/3.67
% 23.61/3.67 % SZS output start CNFRefutation for theBenchmark.p
% 23.61/3.67
% 23.61/3.67 tff(f28,axiom,(
% 23.61/3.67 f70 != f73(f74(f75,f38(f76,f15(f38(f76,f31(f32(f41,f77),f15(f78,f79))),f80))),f81(f82(f18(f19,0)),f79))),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_28)).
% 23.61/3.67
% 23.61/3.67 tff(f29,axiom,(
% 23.61/3.67 $less(0,f20(f21,f80))),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_29)).
% 23.61/3.67
% 23.61/3.67 tff(f30,axiom,(
% 23.61/3.67 $less(f20(f21,f80),f20(f21,f79))),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_30)).
% 23.61/3.67
% 23.61/3.67 tff(f33,axiom,(
% 23.61/3.67 ! [X0 : 'S3',X1 : 'S3'] : ? [X3 : $int] : (($less(0,X3) => ($less(X3,f20(f21,X1)) => f70 = f73(f74(f75,f38(f76,f15(f38(f76,f15(f78,X1)),X0))),f81(f82(f18(f19,0)),X1)))) & f20(f21,X0) = X3)),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_33)).
% 23.61/3.67
% 23.61/3.67 tff(f39,axiom,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S11',X2 : 'S3'] : (f70 != X0 => f15(f38(f76,f31(f32(f41,X1),X0)),X2) = f31(f32(f41,f15(f38(f76,X1),X2)),f15(f38(f76,X0),X2)))),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_39)).
% 23.61/3.67
% 23.61/3.67 tff(f47,axiom,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S11'] : (f70 != X0 => (f77 = f31(f32(f41,X1),X0) <=> X0 = X1))),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_47)).
% 23.61/3.67
% 23.61/3.67 tff(f86,axiom,(
% 23.61/3.67 ! [X0 : 'S11'] : f70 = f31(f32(f41,X0),f70)),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_86)).
% 23.61/3.67
% 23.61/3.67 tff(f90,axiom,(
% 23.61/3.67 ! [X0 : 'S11'] : f70 = f31(f32(f41,f70),X0)),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_90)).
% 23.61/3.67
% 23.61/3.67 tff(f95,axiom,(
% 23.61/3.67 ! [X0 : 'S3'] : f77 = f15(f38(f76,f77),X0)),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_95)).
% 23.61/3.67
% 23.61/3.67 tff(f98,axiom,(
% 23.61/3.67 ! [X0 : 'S11'] : f31(f32(f41,X0),f77) = X0),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_98)).
% 23.61/3.67
% 23.61/3.67 tff(f100,axiom,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S11',X2 : 'S3'] : f15(f38(f76,f31(f32(f41,X0),X1)),X2) = f31(f32(f41,f15(f38(f76,X0),X2)),f15(f38(f76,X1),X2))),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_100)).
% 23.61/3.67
% 23.61/3.67 tff(f121,axiom,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S3'] : ? [X37 : 'S10'] : ((f77 != X0 => f73(f74(f75,X37),f81(f82(f18(f19,0)),X1)) = f31(f32(f41,f31(f32(f33,f15(X37,X1)),f77)),f31(f32(f33,X0),f77))) & f38(f76,X0) = X37)),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_121)).
% 23.61/3.67
% 23.61/3.67 tff(f126,axiom,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S11',X2 : 'S11'] : f31(f32(f41,f31(f32(f33,X0),X1)),X2) = f31(f32(f33,f31(f32(f41,X0),X2)),f31(f32(f41,X1),X2))),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_126)).
% 23.61/3.67
% 23.61/3.67 tff(f128,axiom,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S11',X2 : 'S11'] : f31(f32(f41,f31(f32(f33,X0),X1)),X2) = f31(f32(f33,f31(f32(f41,X0),X2)),f31(f32(f41,X1),X2))),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_128)).
% 23.61/3.67
% 23.61/3.67 tff(f157,axiom,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S11'] : (f70 = f31(f32(f33,X0),X1) <=> X0 = X1)),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_157)).
% 23.61/3.67
% 23.61/3.67 tff(f200,axiom,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S11'] : f31(f32(f46,X0),X1) = f31(f32(f46,X1),X0)),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_200)).
% 23.61/3.67
% 23.61/3.67 tff(f325,axiom,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S11',X2 : 'S11'] : (f70 != X0 => (f31(f32(f41,X2),X0) = X1 <=> f31(f32(f46,X1),X0) = X2))),
% 23.61/3.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_325)).
% 23.61/3.67
% 23.61/3.67 tff(f399,plain,(
% 23.61/3.67 ! [X0 : 'S3',X1 : 'S3'] : ? [X2 : $int] : (($less(0,X2) => ($less(X2,f20(f21,X1)) => f70 = f73(f74(f75,f38(f76,f15(f38(f76,f15(f78,X1)),X0))),f81(f82(f18(f19,0)),X1)))) & f20(f21,X0) = X2)),
% 23.61/3.67 inference(rectify,[],[f33])).
% 23.61/3.67
% 23.61/3.67 tff(f425,plain,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S3'] : ? [X2 : 'S10'] : ((f77 != X0 => f73(f74(f75,X2),f81(f82(f18(f19,0)),X1)) = f31(f32(f41,f31(f32(f33,f15(X2,X1)),f77)),f31(f32(f33,X0),f77))) & f38(f76,X0) = X2)),
% 23.61/3.67 inference(rectify,[],[f121])).
% 23.61/3.67
% 23.61/3.67 tff(f530,plain,(
% 23.61/3.67 ! [X0 : 'S3',X1 : 'S3'] : ? [X2 : $int] : (((f70 = f73(f74(f75,f38(f76,f15(f38(f76,f15(f78,X1)),X0))),f81(f82(f18(f19,0)),X1)) | ~$less(X2,f20(f21,X1))) | ~$less(0,X2)) & f20(f21,X0) = X2)),
% 23.61/3.67 inference(ennf_transformation,[],[f399])).
% 23.61/3.67
% 23.61/3.67 tff(f531,plain,(
% 23.61/3.67 ! [X0 : 'S3',X1 : 'S3'] : ? [X2 : $int] : ((f70 = f73(f74(f75,f38(f76,f15(f38(f76,f15(f78,X1)),X0))),f81(f82(f18(f19,0)),X1)) | ~$less(X2,f20(f21,X1)) | ~$less(0,X2)) & f20(f21,X0) = X2)),
% 23.61/3.67 inference(flattening,[],[f530])).
% 23.61/3.67
% 23.61/3.67 tff(f535,plain,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S11',X2 : 'S3'] : (f15(f38(f76,f31(f32(f41,X1),X0)),X2) = f31(f32(f41,f15(f38(f76,X1),X2)),f15(f38(f76,X0),X2)) | f70 = X0)),
% 23.61/3.67 inference(ennf_transformation,[],[f39])).
% 23.61/3.67
% 23.61/3.67 tff(f545,plain,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S11'] : ((f77 = f31(f32(f41,X1),X0) <=> X0 = X1) | f70 = X0)),
% 23.61/3.67 inference(ennf_transformation,[],[f47])).
% 23.61/3.67
% 23.61/3.67 tff(f557,plain,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S3'] : ? [X2 : 'S10'] : ((f73(f74(f75,X2),f81(f82(f18(f19,0)),X1)) = f31(f32(f41,f31(f32(f33,f15(X2,X1)),f77)),f31(f32(f33,X0),f77)) | f77 = X0) & f38(f76,X0) = X2)),
% 23.61/3.67 inference(ennf_transformation,[],[f425])).
% 23.61/3.67
% 23.61/3.67 tff(f605,plain,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S11',X2 : 'S11'] : ((f31(f32(f41,X2),X0) = X1 <=> f31(f32(f46,X1),X0) = X2) | f70 = X0)),
% 23.61/3.67 inference(ennf_transformation,[],[f325])).
% 23.61/3.67
% 23.61/3.67 tff(f615,plain,(
% 23.61/3.67 ! [X0 : 'S3',X1 : 'S3'] : (? [X2 : $int] : ((f70 = f73(f74(f75,f38(f76,f15(f38(f76,f15(f78,X1)),X0))),f81(f82(f18(f19,0)),X1)) | ~$less(X2,f20(f21,X1)) | ~$less(0,X2)) & f20(f21,X0) = X2) => ((f70 = f73(f74(f75,f38(f76,f15(f38(f76,f15(f78,X1)),X0))),f81(f82(f18(f19,0)),X1)) | ~$less(sK1(X0,X1),f20(f21,X1)) | ~$less(0,sK1(X0,X1))) & f20(f21,X0) = sK1(X0,X1)))),
% 23.61/3.67 introduced(choice_axiom,[])).
% 23.61/3.67
% 23.61/3.67 tff(f616,plain,(
% 23.61/3.67 ! [X0 : 'S3',X1 : 'S3'] : ((f70 = f73(f74(f75,f38(f76,f15(f38(f76,f15(f78,X1)),X0))),f81(f82(f18(f19,0)),X1)) | ~$less(sK1(X0,X1),f20(f21,X1)) | ~$less(0,sK1(X0,X1))) & f20(f21,X0) = sK1(X0,X1))),
% 23.61/3.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f531,f615])).
% 23.61/3.67
% 23.61/3.67 tff(f633,plain,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S11'] : (((f77 = f31(f32(f41,X1),X0) | X0 != X1) & (X0 = X1 | f77 != f31(f32(f41,X1),X0))) | f70 = X0)),
% 23.61/3.67 inference(nnf_transformation,[],[f545])).
% 23.61/3.67
% 23.61/3.67 tff(f685,plain,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S3'] : (? [X2 : 'S10'] : ((f73(f74(f75,X2),f81(f82(f18(f19,0)),X1)) = f31(f32(f41,f31(f32(f33,f15(X2,X1)),f77)),f31(f32(f33,X0),f77)) | f77 = X0) & f38(f76,X0) = X2) => ((f73(f74(f75,sK37(X0,X1)),f81(f82(f18(f19,0)),X1)) = f31(f32(f41,f31(f32(f33,f15(sK37(X0,X1),X1)),f77)),f31(f32(f33,X0),f77)) | f77 = X0) & f38(f76,X0) = sK37(X0,X1)))),
% 23.61/3.67 introduced(choice_axiom,[])).
% 23.61/3.67
% 23.61/3.67 tff(f686,plain,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S3'] : ((f73(f74(f75,sK37(X0,X1)),f81(f82(f18(f19,0)),X1)) = f31(f32(f41,f31(f32(f33,f15(sK37(X0,X1),X1)),f77)),f31(f32(f33,X0),f77)) | f77 = X0) & f38(f76,X0) = sK37(X0,X1))),
% 23.61/3.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f557,f685])).
% 23.61/3.67
% 23.61/3.67 tff(f719,plain,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S11'] : ((f70 = f31(f32(f33,X0),X1) | X0 != X1) & (X0 = X1 | f70 != f31(f32(f33,X0),X1)))),
% 23.61/3.67 inference(nnf_transformation,[],[f157])).
% 23.61/3.67
% 23.61/3.67 tff(f910,plain,(
% 23.61/3.67 ! [X0 : 'S11',X1 : 'S11',X2 : 'S11'] : (((f31(f32(f41,X2),X0) = X1 | f31(f32(f46,X1),X0) != X2) & (f31(f32(f46,X1),X0) = X2 | f31(f32(f41,X2),X0) != X1)) | f70 = X0)),
% 23.61/3.67 inference(nnf_transformation,[],[f605])).
% 23.61/3.67
% 23.61/3.67 tff(f943,plain,(
% 23.61/3.67 f70 != f73(f74(f75,f38(f76,f15(f38(f76,f31(f32(f41,f77),f15(f78,f79))),f80))),f81(f82(f18(f19,0)),f79))),
% 23.61/3.67 inference(cnf_transformation,[],[f28])).
% 23.61/3.67
% 23.61/3.67 tff(f944,plain,(
% 23.61/3.67 $less(0,f20(f21,f80))),
% 23.61/3.67 inference(cnf_transformation,[],[f29])).
% 23.61/3.67
% 23.61/3.67 tff(f945,plain,(
% 23.61/3.67 $less(f20(f21,f80),f20(f21,f79))),
% 23.61/3.67 inference(cnf_transformation,[],[f30])).
% 23.61/3.67
% 23.61/3.67 tff(f948,plain,(
% 23.61/3.67 ( ! [X0 : 'S3',X1 : 'S3'] : (f20(f21,X0) = sK1(X0,X1)) )),
% 23.61/3.67 inference(cnf_transformation,[],[f616])).
% 23.61/3.67
% 23.61/3.67 tff(f949,plain,(
% 23.61/3.67 ( ! [X0 : 'S3',X1 : 'S3'] : (f70 = f73(f74(f75,f38(f76,f15(f38(f76,f15(f78,X1)),X0))),f81(f82(f18(f19,0)),X1)) | ~$less(sK1(X0,X1),f20(f21,X1)) | ~$less(0,sK1(X0,X1))) )),
% 23.61/3.67 inference(cnf_transformation,[],[f616])).
% 23.61/3.67
% 23.61/3.67 tff(f963,plain,(
% 23.61/3.67 ( ! [X2 : 'S3',X0 : 'S11',X1 : 'S11'] : (f15(f38(f76,f31(f32(f41,X1),X0)),X2) = f31(f32(f41,f15(f38(f76,X1),X2)),f15(f38(f76,X0),X2)) | f70 = X0) )),
% 23.61/3.67 inference(cnf_transformation,[],[f535])).
% 23.61/3.67
% 23.61/3.67 tff(f980,plain,(
% 23.61/3.67 ( ! [X0 : 'S11',X1 : 'S11'] : (X0 = X1 | f77 != f31(f32(f41,X1),X0) | f70 = X0) )),
% 23.61/3.67 inference(cnf_transformation,[],[f633])).
% 23.61/3.67
% 23.61/3.67 tff(f1040,plain,(
% 23.61/3.67 ( ! [X0 : 'S11'] : (f70 = f31(f32(f41,X0),f70)) )),
% 23.61/3.67 inference(cnf_transformation,[],[f86])).
% 23.61/3.67
% 23.61/3.67 tff(f1046,plain,(
% 23.61/3.67 ( ! [X0 : 'S11'] : (f70 = f31(f32(f41,f70),X0)) )),
% 23.61/3.67 inference(cnf_transformation,[],[f90])).
% 23.61/3.67
% 23.61/3.67 tff(f1052,plain,(
% 23.61/3.67 ( ! [X0 : 'S3'] : (f77 = f15(f38(f76,f77),X0)) )),
% 23.61/3.67 inference(cnf_transformation,[],[f95])).
% 23.61/3.67
% 23.61/3.67 tff(f1056,plain,(
% 23.61/3.67 ( ! [X0 : 'S11'] : (f31(f32(f41,X0),f77) = X0) )),
% 23.61/3.67 inference(cnf_transformation,[],[f98])).
% 23.61/3.67
% 23.61/3.67 tff(f1058,plain,(
% 23.61/3.67 ( ! [X2 : 'S3',X0 : 'S11',X1 : 'S11'] : (f15(f38(f76,f31(f32(f41,X0),X1)),X2) = f31(f32(f41,f15(f38(f76,X0),X2)),f15(f38(f76,X1),X2))) )),
% 23.61/3.67 inference(cnf_transformation,[],[f100])).
% 23.61/3.67
% 23.61/3.67 tff(f1088,plain,(
% 23.61/3.67 ( ! [X0 : 'S11',X1 : 'S3'] : (f38(f76,X0) = sK37(X0,X1)) )),
% 23.61/3.67 inference(cnf_transformation,[],[f686])).
% 23.61/3.67
% 23.61/3.67 tff(f1089,plain,(
% 23.61/3.67 ( ! [X0 : 'S11',X1 : 'S3'] : (f73(f74(f75,sK37(X0,X1)),f81(f82(f18(f19,0)),X1)) = f31(f32(f41,f31(f32(f33,f15(sK37(X0,X1),X1)),f77)),f31(f32(f33,X0),f77)) | f77 = X0) )),
% 23.61/3.67 inference(cnf_transformation,[],[f686])).
% 23.61/3.67
% 23.61/3.67 tff(f1102,plain,(
% 23.61/3.67 ( ! [X2 : 'S11',X0 : 'S11',X1 : 'S11'] : (f31(f32(f41,f31(f32(f33,X0),X1)),X2) = f31(f32(f33,f31(f32(f41,X0),X2)),f31(f32(f41,X1),X2))) )),
% 23.61/3.67 inference(cnf_transformation,[],[f126])).
% 23.61/3.67
% 23.61/3.67 tff(f1104,plain,(
% 23.61/3.67 ( ! [X2 : 'S11',X0 : 'S11',X1 : 'S11'] : (f31(f32(f41,f31(f32(f33,X0),X1)),X2) = f31(f32(f33,f31(f32(f41,X0),X2)),f31(f32(f41,X1),X2))) )),
% 23.61/3.67 inference(cnf_transformation,[],[f128])).
% 23.61/3.67
% 23.61/3.67 tff(f1156,plain,(
% 23.61/3.67 ( ! [X0 : 'S11',X1 : 'S11'] : (X0 = X1 | f70 != f31(f32(f33,X0),X1)) )),
% 23.61/3.67 inference(cnf_transformation,[],[f719])).
% 23.61/3.67
% 23.61/3.67 tff(f1157,plain,(
% 23.61/3.67 ( ! [X0 : 'S11',X1 : 'S11'] : (f70 = f31(f32(f33,X0),X1) | X0 != X1) )),
% 23.61/3.67 inference(cnf_transformation,[],[f719])).
% 23.61/3.67
% 23.61/3.67 tff(f1265,plain,(
% 23.61/3.67 ( ! [X0 : 'S11',X1 : 'S11'] : (f31(f32(f46,X0),X1) = f31(f32(f46,X1),X0)) )),
% 23.61/3.67 inference(cnf_transformation,[],[f200])).
% 23.61/3.67
% 23.61/3.67 tff(f1445,plain,(
% 23.61/3.67 ( ! [X2 : 'S11',X0 : 'S11',X1 : 'S11'] : (f31(f32(f46,X1),X0) = X2 | f31(f32(f41,X2),X0) != X1 | f70 = X0) )),
% 23.61/3.67 inference(cnf_transformation,[],[f910])).
% 23.61/3.67
% 23.61/3.67 tff(f1463,plain,(
% 23.61/3.67 ( ! [X0 : 'S3',X1 : 'S3'] : (f70 = f73(f74(f75,f38(f76,f15(f38(f76,f15(f78,X1)),X0))),f81(f82(f18(f19,0)),X1)) | ~$less(f20(f21,X0),f20(f21,X1)) | ~$less(0,f20(f21,X0))) )),
% 23.61/3.67 inference(definition_unfolding,[],[f949,f948,f948])).
% 23.61/3.67
% 23.61/3.67 tff(f1494,plain,(
% 23.61/3.67 ( ! [X0 : 'S11',X1 : 'S3'] : (f73(f74(f75,f38(f76,X0)),f81(f82(f18(f19,0)),X1)) = f31(f32(f41,f31(f32(f33,f15(f38(f76,X0),X1)),f77)),f31(f32(f33,X0),f77)) | f77 = X0) )),
% 23.61/3.67 inference(definition_unfolding,[],[f1089,f1088,f1088])).
% 23.61/3.67
% 23.61/3.67 tff(f1616,plain,(
% 23.61/3.67 ( ! [X1 : 'S11'] : (f70 = f31(f32(f33,X1),X1)) )),
% 23.61/3.67 inference(equality_resolution,[],[f1157])).
% 23.61/3.67
% 23.61/3.67 tff(f1645,plain,(
% 23.61/3.67 ( ! [X2 : 'S11',X0 : 'S11'] : (f31(f32(f46,f31(f32(f41,X2),X0)),X0) = X2 | f70 = X0) )),
% 23.61/3.67 inference(equality_resolution,[],[f1445])).
% 23.61/3.67
% 23.61/3.67 cnf(c_111,negated_conjecture,
% 23.61/3.67 (f73(f74(f75,f38(f76,f15(f38(f76,f31(f32(f41,f77),f15(f78,f79))),f80))),f81(f82(f18(f19,0)),f79)) != f70),
% 23.61/3.67 inference(cnf_transformation,[],[f943])).
% 23.61/3.67
% 23.61/3.67 cnf(c_112,plain,
% 23.61/3.67 ($less_int(0,f20(f21,f80))),
% 23.61/3.67 inference(cnf_transformation,[],[f944])).
% 23.61/3.67
% 23.61/3.67 cnf(c_113,plain,
% 23.61/3.67 ($less_int(f20(f21,f80),f20(f21,f79))),
% 23.61/3.67 inference(cnf_transformation,[],[f945])).
% 23.61/3.67
% 23.61/3.67 cnf(c_116,plain,
% 23.61/3.67 (~$less_int(f20(f21,X0_32),f20(f21,X1_32))|~$less_int(0,f20(f21,X0_32))|
% 23.61/3.67 f73(f74(f75,f38(f76,f15(f38(f76,f15(f78,X1_32)),X0_32))),f81(f82(f18(f19,0)),X1_32)) = f70),
% 23.61/3.67 inference(cnf_transformation,[],[f1463])).
% 23.61/3.67
% 23.61/3.67 cnf(c_122,plain,
% 23.61/3.67 (f31(f32(f41,f15(f38(f76,X0_54),X0_32)),f15(f38(f76,X1_54),X0_32)) = f15(f38(f76,f31(f32(f41,X0_54),X1_54)),X0_32)|
% 23.61/3.67 X1_54 = f70),
% 23.61/3.67 inference(cnf_transformation,[],[f963])).
% 23.61/3.67
% 23.61/3.67 cnf(c_133,plain,
% 23.61/3.67 (f31(f32(f41,X0_54),X1_54) != f77|X0_54 = X1_54|X1_54 = f70),
% 23.61/3.67 inference(cnf_transformation,[],[f980])).
% 23.61/3.67
% 23.61/3.67 cnf(c_182,plain,
% 23.61/3.67 (f31(f32(f41,X0_54),f70) = f70),
% 23.61/3.67 inference(cnf_transformation,[],[f1040])).
% 23.61/3.67
% 23.61/3.67 cnf(c_186,plain,
% 23.61/3.67 (f31(f32(f41,f70),X0_54) = f70),
% 23.61/3.67 inference(cnf_transformation,[],[f1046])).
% 23.61/3.67
% 23.61/3.67 cnf(c_191,plain,
% 23.61/3.67 (f15(f38(f76,f77),X0_32) = f77),
% 23.61/3.67 inference(cnf_transformation,[],[f1052])).
% 23.61/3.67
% 23.61/3.67 cnf(c_194,plain,
% 23.61/3.67 (f31(f32(f41,X0_54),f77) = X0_54),
% 23.61/3.67 inference(cnf_transformation,[],[f1056])).
% 23.61/3.67
% 23.61/3.67 cnf(c_196,plain,
% 23.61/3.67 (f31(f32(f41,f15(f38(f76,X0_54),X0_32)),f15(f38(f76,X1_54),X0_32)) = f15(f38(f76,f31(f32(f41,X0_54),X1_54)),X0_32)),
% 23.61/3.67 inference(cnf_transformation,[],[f1058])).
% 23.61/3.67
% 23.61/3.67 cnf(c_223,plain,
% 23.61/3.67 (f31(f32(f41,f31(f32(f33,f15(f38(f76,X0_54),X0_32)),f77)),f31(f32(f33,X0_54),f77)) = f73(f74(f75,f38(f76,X0_54)),f81(f82(f18(f19,0)),X0_32))|
% 23.61/3.67 X0_54 = f77),
% 23.61/3.67 inference(cnf_transformation,[],[f1494])).
% 23.61/3.67
% 23.61/3.67 cnf(c_228,plain,
% 23.61/3.67 (f31(f32(f33,f31(f32(f41,X0_54),X1_54)),f31(f32(f41,X2_54),X1_54)) = f31(f32(f41,f31(f32(f33,X0_54),X2_54)),X1_54)),
% 23.61/3.67 inference(cnf_transformation,[],[f1102])).
% 23.61/3.67
% 23.61/3.67 cnf(c_230,plain,
% 23.61/3.67 (f31(f32(f33,f31(f32(f41,X0_54),X1_54)),f31(f32(f41,X2_54),X1_54)) = f31(f32(f41,f31(f32(f33,X0_54),X2_54)),X1_54)),
% 23.61/3.67 inference(cnf_transformation,[],[f1104])).
% 23.61/3.67
% 23.61/3.67 cnf(c_263,plain,
% 23.61/3.67 (f31(f32(f33,X0_54),X0_54) = f70),
% 23.61/3.67 inference(cnf_transformation,[],[f1616])).
% 23.61/3.67
% 23.61/3.67 cnf(c_264,plain,
% 23.61/3.67 (f31(f32(f33,X0_54),X1_54) != f70|X0_54 = X1_54),
% 23.61/3.67 inference(cnf_transformation,[],[f1156])).
% 23.61/3.67
% 23.61/3.67 cnf(c_324,plain,
% 23.61/3.67 (f31(f32(f46,X0_54),X1_54) = f31(f32(f46,X1_54),X0_54)),
% 23.61/3.67 inference(cnf_transformation,[],[f1265])).
% 23.61/3.67
% 23.61/3.67 cnf(c_459,plain,
% 23.61/3.67 (f31(f32(f46,f31(f32(f41,X0_54),X1_54)),X1_54) = X0_54|X1_54 = f70),
% 23.61/3.67 inference(cnf_transformation,[],[f1645])).
% 23.61/3.67
% 23.61/3.67 cnf(c_731,plain,
% 23.61/3.67 (f31(f32(f41,f15(f38(f76,X0_54),X0_32)),f15(f38(f76,X1_54),X0_32)) = f15(f38(f76,f31(f32(f41,X0_54),X1_54)),X0_32)),
% 23.61/3.67 inference(global_subsumption_just,[status(thm)],[c_122,c_196])).
% 23.61/3.67
% 23.61/3.67 cnf(c_866,plain,
% 23.61/3.67 (f31(f32(f46,f31(f32(f41,X0_54),X1_54)),X1_54) = X0_54|X1_54 = f70),
% 23.61/3.67 inference(prop_impl_just,[status(thm)],[c_459])).
% 23.61/3.67
% 23.61/3.67 cnf(c_956,plain,
% 23.61/3.67 (f31(f32(f41,f31(f32(f33,f15(f38(f76,X0_54),X0_32)),f77)),f31(f32(f33,X0_54),f77)) = f73(f74(f75,f38(f76,X0_54)),f81(f82(f18(f19,0)),X0_32))|
% 23.61/3.67 X0_54 = f77),
% 23.61/3.67 inference(prop_impl_just,[status(thm)],[c_223])).
% 23.61/3.67
% 23.61/3.67 cnf(c_2247,plain,
% 23.61/3.67 (f31(f32(f46,X0_54),f31(f32(f41,X1_54),X0_54)) = X1_54|X0_54 = f70),
% 23.61/3.67 inference(demodulation,[status(thm)],[c_866,c_324])).
% 23.61/3.67
% 23.61/3.67 cnf(c_2442,plain,
% 23.61/3.67 (f73(f74(f75,f38(f76,f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80)))),f81(f82(f18(f19,0)),f79)) != f70),
% 23.61/3.67 inference(demodulation,[status(thm)],[c_111,c_191,c_731])).
% 23.61/3.67
% 23.61/3.67 cnf(c_2551,plain,
% 23.61/3.67 (f31(f32(f33,f31(f32(f41,f15(f38(f76,X0_54),X0_32)),f31(f32(f33,X0_54),f77))),f31(f32(f41,f77),f31(f32(f33,X0_54),f77))) = f73(f74(f75,f38(f76,X0_54)),f81(f82(f18(f19,0)),X0_32))|
% 23.61/3.67 X0_54 = f77),
% 23.61/3.67 inference(demodulation,[status(thm)],[c_956,c_228])).
% 23.61/3.67
% 23.61/3.67 cnf(c_3005,plain,
% 23.61/3.67 (X0_54 = f70|f31(f32(f46,X0_54),f31(f32(f41,X1_54),X0_54)) = X1_54),
% 23.61/3.67 inference(prop_impl_just,[status(thm)],[c_2247])).
% 23.61/3.67
% 23.61/3.67 cnf(c_3006,plain,
% 23.61/3.67 (f31(f32(f46,X0_54),f31(f32(f41,X1_54),X0_54)) = X1_54|X0_54 = f70),
% 23.61/3.67 inference(renaming,[status(thm)],[c_3005])).
% 23.61/3.67
% 23.61/3.67 cnf(c_3077,plain,
% 23.61/3.67 (X0_54 = f77|f31(f32(f33,f31(f32(f41,f15(f38(f76,X0_54),X0_32)),f31(f32(f33,X0_54),f77))),f31(f32(f41,f77),f31(f32(f33,X0_54),f77))) = f73(f74(f75,f38(f76,X0_54)),f81(f82(f18(f19,0)),X0_32))),
% 23.61/3.67 inference(prop_impl_just,[status(thm)],[c_2551])).
% 23.61/3.67
% 23.61/3.67 cnf(c_3078,plain,
% 23.61/3.67 (f31(f32(f33,f31(f32(f41,f15(f38(f76,X0_54),X0_32)),f31(f32(f33,X0_54),f77))),f31(f32(f41,f77),f31(f32(f33,X0_54),f77))) = f73(f74(f75,f38(f76,X0_54)),f81(f82(f18(f19,0)),X0_32))|
% 23.61/3.67 X0_54 = f77),
% 23.61/3.67 inference(renaming,[status(thm)],[c_3077])).
% 23.61/3.67
% 23.61/3.67 cnf(c_14291,plain,
% 23.61/3.67 (~$less_int(0,f20(f21,f80))|f73(f74(f75,f38(f76,f15(f38(f76,f15(f78,f79)),f80))),f81(f82(f18(f19,0)),f79)) = f70),
% 23.61/3.67 inference(superposition,[status(thm)],[c_113,c_116])).
% 23.61/3.67
% 23.61/3.67 cnf(c_14316,plain,
% 23.61/3.67 (f73(f74(f75,f38(f76,f15(f38(f76,f15(f78,f79)),f80))),f81(f82(f18(f19,0)),f79)) = f70),
% 23.61/3.67 inference(forward_subsumption_resolution,[status(thm)],[c_14291,c_112])).
% 23.61/3.67
% 23.61/3.67 cnf(c_57820,plain,
% 23.61/3.67 (f31(f32(f33,f31(f32(f41,f15(f38(f76,f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80))),f79)),f31(f32(f33,f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80))),f77))),f31(f32(f41,f77),f31(f32(f33,f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80))),f77))) != f70|
% 23.61/3.67 f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80)) = f77),
% 23.61/3.67 inference(superposition,[status(thm)],[c_3078,c_2442])).
% 23.61/3.67
% 23.61/3.67 cnf(c_57822,plain,
% 23.61/3.67 (f31(f32(f33,f31(f32(f41,f15(f38(f76,f15(f38(f76,f15(f78,f79)),f80)),f79)),f31(f32(f33,f15(f38(f76,f15(f78,f79)),f80)),f77))),f31(f32(f41,f77),f31(f32(f33,f15(f38(f76,f15(f78,f79)),f80)),f77))) = f70|
% 23.61/3.67 f15(f38(f76,f15(f78,f79)),f80) = f77),
% 23.61/3.67 inference(superposition,[status(thm)],[c_3078,c_14316])).
% 23.61/3.67
% 23.61/3.67 cnf(c_57970,plain,
% 23.61/3.67 (f31(f32(f33,f31(f32(f41,f31(f32(f41,f77),f15(f38(f76,f15(f38(f76,f15(f78,f79)),f80)),f79))),f31(f32(f33,f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80))),f77))),f31(f32(f41,f77),f31(f32(f33,f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80))),f77))) != f70|
% 23.61/3.67 f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80)) = f77),
% 23.61/3.67 inference(demodulation,[status(thm)],[c_57820,c_191,c_196])).
% 23.61/3.67
% 23.61/3.67 cnf(c_58464,plain,
% 23.61/3.67 (f31(f32(f41,f15(f38(f76,f15(f38(f76,f15(f78,f79)),f80)),f79)),f31(f32(f33,f15(f38(f76,f15(f78,f79)),f80)),f77)) = f31(f32(f41,f77),f31(f32(f33,f15(f38(f76,f15(f78,f79)),f80)),f77))|
% 23.61/3.67 f15(f38(f76,f15(f78,f79)),f80) = f77),
% 23.61/3.67 inference(superposition,[status(thm)],[c_57822,c_264])).
% 23.61/3.67
% 23.61/3.67 cnf(c_58707,plain,
% 23.61/3.67 (f31(f32(f46,f31(f32(f33,f15(f38(f76,f15(f78,f79)),f80)),f77)),f31(f32(f41,f77),f31(f32(f33,f15(f38(f76,f15(f78,f79)),f80)),f77))) = f15(f38(f76,f15(f38(f76,f15(f78,f79)),f80)),f79)|
% 23.61/3.67 f31(f32(f33,f15(f38(f76,f15(f78,f79)),f80)),f77) = f70|f15(f38(f76,f15(f78,f79)),f80) = f77),
% 23.61/3.67 inference(superposition,[status(thm)],[c_58464,c_3006])).
% 23.61/3.67
% 23.61/3.67 cnf(c_58732,plain,
% 23.61/3.67 (f31(f32(f46,f31(f32(f33,f15(f38(f76,f15(f78,f79)),f80)),f77)),f31(f32(f41,f77),f31(f32(f33,f15(f38(f76,f15(f78,f79)),f80)),f77))) = f15(f38(f76,f15(f38(f76,f15(f78,f79)),f80)),f79)|
% 23.61/3.67 f15(f38(f76,f15(f78,f79)),f80) = f77),
% 23.61/3.67 inference(forward_subsumption_resolution,[status(thm)],[c_58707,c_264])).
% 23.61/3.67
% 23.61/3.67 cnf(c_58838,plain,
% 23.61/3.67 (f31(f32(f33,f31(f32(f41,f31(f32(f41,f77),f31(f32(f46,f31(f32(f33,f15(f38(f76,f15(f78,f79)),f80)),f77)),f31(f32(f41,f77),f31(f32(f33,f15(f38(f76,f15(f78,f79)),f80)),f77))))),f31(f32(f33,f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80))),f77))),f31(f32(f41,f77),f31(f32(f33,f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80))),f77))) != f70|
% 23.61/3.67 f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80)) = f77|f15(f38(f76,f15(f78,f79)),f80) = f77),
% 23.61/3.67 inference(superposition,[status(thm)],[c_58732,c_57970])).
% 23.61/3.67
% 23.61/3.67 cnf(c_59355,plain,
% 23.61/3.67 (f31(f32(f33,f31(f32(f41,f31(f32(f41,f77),f77)),f31(f32(f33,f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80))),f77))),f31(f32(f41,f77),f31(f32(f33,f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80))),f77))) != f70|
% 23.61/3.67 f31(f32(f33,f15(f38(f76,f15(f78,f79)),f80)),f77) = f70|f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80)) = f77|
% 23.61/3.67 f15(f38(f76,f15(f78,f79)),f80) = f77),
% 23.61/3.67 inference(superposition,[status(thm)],[c_3006,c_58838])).
% 23.61/3.67
% 23.61/3.67 cnf(c_59405,plain,
% 23.61/3.67 (f31(f32(f33,f31(f32(f41,f31(f32(f41,f77),f77)),f31(f32(f33,f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80))),f77))),f31(f32(f41,f77),f31(f32(f33,f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80))),f77))) != f70|
% 23.61/3.67 f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80)) = f77|f15(f38(f76,f15(f78,f79)),f80) = f77),
% 23.61/3.67 inference(forward_subsumption_resolution,[status(thm)],[c_59355,c_264])).
% 23.61/3.67
% 23.61/3.67 cnf(c_59406,plain,
% 23.61/3.67 (f70 != f70|f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80)) = f77|
% 23.61/3.67 f15(f38(f76,f15(f78,f79)),f80) = f77),
% 23.61/3.67 inference(demodulation,[status(thm)],[c_59405,c_186,c_194,c_230,c_263])).
% 23.61/3.67
% 23.61/3.67 cnf(c_59407,plain,
% 23.61/3.67 (f31(f32(f41,f77),f15(f38(f76,f15(f78,f79)),f80)) = f77|f15(f38(f76,f15(f78,f79)),f80) = f77),
% 23.61/3.67 inference(equality_resolution_simp,[status(thm)],[c_59406])).
% 23.61/3.67
% 23.61/3.67 cnf(c_60471,plain,
% 23.61/3.67 (f15(f38(f76,f15(f78,f79)),f80) = f70|f15(f38(f76,f15(f78,f79)),f80) = f77),
% 23.61/3.67 inference(superposition,[status(thm)],[c_59407,c_133])).
% 23.61/3.67
% 23.61/3.67 cnf(c_61286,plain,
% 23.61/3.67 (f73(f74(f75,f38(f76,f77)),f81(f82(f18(f19,0)),f79)) = f70|f15(f38(f76,f15(f78,f79)),f80) = f70),
% 23.61/3.67 inference(superposition,[status(thm)],[c_60471,c_14316])).
% 23.61/3.67
% 23.61/3.67 cnf(c_61287,plain,
% 23.61/3.67 (f73(f74(f75,f38(f76,f31(f32(f41,f77),f77))),f81(f82(f18(f19,0)),f79)) != f70|
% 23.61/3.67 f15(f38(f76,f15(f78,f79)),f80) = f70),
% 23.61/3.67 inference(superposition,[status(thm)],[c_60471,c_2442])).
% 23.61/3.67
% 23.61/3.67 cnf(c_61298,plain,
% 23.61/3.67 (f73(f74(f75,f38(f76,f77)),f81(f82(f18(f19,0)),f79)) != f70|f15(f38(f76,f15(f78,f79)),f80) = f70),
% 23.61/3.67 inference(demodulation,[status(thm)],[c_61287,c_194])).
% 23.61/3.67
% 23.61/3.67 cnf(c_61303,plain,
% 23.61/3.67 (f15(f38(f76,f15(f78,f79)),f80) = f70),
% 23.61/3.67 inference(backward_subsumption_resolution,
% 23.61/3.67 [status(thm)],
% 23.61/3.67 [c_61286,c_61298])).
% 23.61/3.67
% 23.61/3.67 cnf(c_61314,plain,
% 23.61/3.67 (f73(f74(f75,f38(f76,f70)),f81(f82(f18(f19,0)),f79)) = f70),
% 23.61/3.67 inference(demodulation,[status(thm)],[c_14316,c_61303])).
% 23.61/3.67
% 23.61/3.67 cnf(c_61315,plain,
% 23.61/3.67 (f73(f74(f75,f38(f76,f31(f32(f41,f77),f70))),f81(f82(f18(f19,0)),f79)) != f70),
% 23.61/3.67 inference(demodulation,[status(thm)],[c_2442,c_61303])).
% 23.61/3.67
% 23.61/3.67 cnf(c_61316,plain,
% 23.61/3.67 (f73(f74(f75,f38(f76,f70)),f81(f82(f18(f19,0)),f79)) != f70),
% 23.61/3.67 inference(demodulation,[status(thm)],[c_61315,c_182])).
% 23.61/3.67
% 23.61/3.67 cnf(c_61317,plain,
% 23.61/3.67 ($false),
% 23.61/3.67 inference(forward_subsumption_resolution,[status(thm)],[c_61314,c_61316])).
% 23.61/3.67
% 23.61/3.67
% 23.61/3.67 % SZS output end CNFRefutation for theBenchmark.p
% 23.61/3.67
% 23.61/3.68
%------------------------------------------------------------------------------