TSTP Solution File: ARI756_1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : ARI756_1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 17:42:00 EDT 2023

% Result   : Unsatisfiable 262.84s 34.22s
% Output   : CNFRefutation 262.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : ARI756_1 : TPTP v8.1.2. Released v7.0.0.
% 0.14/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Tue Aug 29 18:32:22 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.21/0.48  Running TFA theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 262.84/34.22  % SZS status Started for theBenchmark.p
% 262.84/34.22  % SZS status Unsatisfiable for theBenchmark.p
% 262.84/34.22  
% 262.84/34.22  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 262.84/34.22  
% 262.84/34.22  ------  iProver source info
% 262.84/34.22  
% 262.84/34.22  git: date: 2023-05-31 18:12:56 +0000
% 262.84/34.22  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 262.84/34.22  git: non_committed_changes: false
% 262.84/34.22  git: last_make_outside_of_git: false
% 262.84/34.22  
% 262.84/34.22  ------ Parsing...
% 262.84/34.22  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 262.84/34.22  
% 262.84/34.22  ------ Preprocessing... sup_sim: 7  sf_s  rm: 6 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 11 0s  sf_e  pe_s  pe_e 
% 262.84/34.22  
% 262.84/34.22  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 262.84/34.22  
% 262.84/34.22  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 262.84/34.22  ------ Proving...
% 262.84/34.22  ------ Problem Properties 
% 262.84/34.22  
% 262.84/34.22  
% 262.84/34.22  clauses                                 336
% 262.84/34.22  conjectures                             138
% 262.84/34.22  EPR                                     16
% 262.84/34.22  Horn                                    269
% 262.84/34.22  unary                                   125
% 262.84/34.22  binary                                  160
% 262.84/34.22  lits                                    610
% 262.84/34.22  lits eq                                 238
% 262.84/34.22  fd_pure                                 1
% 262.84/34.22  fd_pseudo                               0
% 262.84/34.22  fd_cond                                 4
% 262.84/34.22  fd_pseudo_cond                          9
% 262.84/34.22  AC symbols                              3
% 262.84/34.22  
% 262.84/34.22  ------ Input Options Time Limit: Unbounded
% 262.84/34.22  
% 262.84/34.22  
% 262.84/34.22  ------ 
% 262.84/34.22  Current options:
% 262.84/34.22  ------ 
% 262.84/34.22  
% 262.84/34.22  
% 262.84/34.22  
% 262.84/34.22  
% 262.84/34.22  ------ Proving...
% 262.84/34.22  
% 262.84/34.22  
% 262.84/34.22  % SZS status Unsatisfiable for theBenchmark.p
% 262.84/34.22  
% 262.84/34.22  % SZS output start CNFRefutation for theBenchmark.p
% 262.84/34.22  
% 262.84/34.22  tff(f46,axiom,(
% 262.84/34.22    ! [X97 : c_type] : 0 = address(c_sort(pointer(X97),null))),
% 262.84/34.22    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_46)).
% 262.84/34.22  
% 262.84/34.22  tff(f47,axiom,(
% 262.84/34.22    ! [X98 : c_type,X99 : c_unsorted] : $lesseq(0,address(c_sort(pointer(X98),X99)))),
% 262.84/34.22    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_47)).
% 262.84/34.22  
% 262.84/34.22  tff(f49,axiom,(
% 262.84/34.22    ! [X106 : c_type,X107 : c_unsorted,X108 : $int,X109 : $int] : ? [X110 : c_type] : (? [X111 : c_sorted] : (($lesseq(address(c_sort(X110,shift(X111,X108))),address(c_sort(X110,shift(X111,X109)))) <=> $lesseq(X108,X109)) & c_sort(X110,X107) = X111) & pointer(X106) = X110)),
% 262.84/34.22    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_49)).
% 262.84/34.22  
% 262.84/34.22  tff(f50,axiom,(
% 262.84/34.22    ! [X112 : c_type,X113 : c_unsorted] : ? [X114 : c_type] : (? [X115 : c_sorted] : (c_sort(X114,shift(X115,0)) = X115 & c_sort(X114,X113) = X115) & pointer(X112) = X114)),
% 262.84/34.22    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_50)).
% 262.84/34.22  
% 262.84/34.22  tff(f107,axiom,(
% 262.84/34.22    ! [X474 : $int,X475 : $int] : (($lesseq(0,X475) & $lesseq(0,X474)) => $lesseq(0,asr(X474,X475)))),
% 262.84/34.22    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_107)).
% 262.84/34.22  
% 262.84/34.22  tff(f108,axiom,(
% 262.84/34.22    ! [X476 : $int,X477 : $int] : (($lesseq(0,X477) & $lesseq(0,X476)) => $lesseq(asr(X476,X477),X476))),
% 262.84/34.22    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_108)).
% 262.84/34.22  
% 262.84/34.22  tff(f201,plain,(
% 262.84/34.22    ! [X98 : c_type,X99 : c_unsorted] : ~$less(address(c_sort(pointer(X98),X99)),0)),
% 262.84/34.22    inference(theory_normalization,[],[f47])).
% 262.84/34.22  
% 262.84/34.22  tff(f202,plain,(
% 262.84/34.22    ! [X106 : c_type,X107 : c_unsorted,X108 : $int,X109 : $int] : ? [X110 : c_type] : (? [X111 : c_sorted] : ((~$less(address(c_sort(X110,shift(X111,X109))),address(c_sort(X110,shift(X111,X108)))) <=> ~$less(X109,X108)) & c_sort(X110,X107) = X111) & pointer(X106) = X110)),
% 262.84/34.22    inference(theory_normalization,[],[f49])).
% 262.84/34.22  
% 262.84/34.22  tff(f216,plain,(
% 262.84/34.22    ! [X474 : $int,X475 : $int] : ((~$less(X475,0) & ~$less(X474,0)) => ~$less(asr(X474,X475),0))),
% 262.84/34.22    inference(theory_normalization,[],[f107])).
% 262.84/34.22  
% 262.84/34.22  tff(f217,plain,(
% 262.84/34.22    ! [X476 : $int,X477 : $int] : ((~$less(X477,0) & ~$less(X476,0)) => ~$less(X476,asr(X476,X477)))),
% 262.84/34.22    inference(theory_normalization,[],[f108])).
% 262.84/34.22  
% 262.84/34.22  tff(f242,plain,(
% 262.84/34.22    ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 262.84/34.22    introduced(theory_axiom_138,[])).
% 262.84/34.22  
% 262.84/34.22  tff(f243,plain,(
% 262.84/34.22    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 262.84/34.22    introduced(theory_axiom_139,[])).
% 262.84/34.22  
% 262.84/34.22  tff(f251,plain,(
% 262.84/34.22    ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 262.84/34.22    introduced(theory_axiom_150,[])).
% 262.84/34.22  
% 262.84/34.22  tff(f253,plain,(
% 262.84/34.22    ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 262.84/34.22    introduced(theory_axiom_138,[])).
% 262.84/34.22  
% 262.84/34.22  tff(f254,plain,(
% 262.84/34.22    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 262.84/34.22    introduced(theory_axiom_139,[])).
% 262.84/34.22  
% 262.84/34.22  tff(f260,plain,(
% 262.84/34.22    ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 262.84/34.22    introduced(theory_axiom_138,[])).
% 262.84/34.22  
% 262.84/34.22  tff(f261,plain,(
% 262.84/34.22    ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 262.84/34.22    introduced(theory_axiom_139,[])).
% 262.84/34.22  
% 262.84/34.22  tff(f314,plain,(
% 262.84/34.22    ! [X0 : c_type] : 0 = address(c_sort(pointer(X0),null))),
% 262.84/34.22    inference(rectify,[],[f46])).
% 262.84/34.22  
% 262.84/34.22  tff(f315,plain,(
% 262.84/34.22    ! [X0 : c_type,X1 : c_unsorted] : ~$less(address(c_sort(pointer(X0),X1)),0)),
% 262.84/34.22    inference(rectify,[],[f201])).
% 262.84/34.22  
% 262.84/34.22  tff(f317,plain,(
% 262.84/34.22    ! [X0 : c_type,X1 : c_unsorted,X2 : $int,X3 : $int] : ? [X4 : c_type] : (? [X5 : c_sorted] : ((~$less(address(c_sort(X4,shift(X5,X3))),address(c_sort(X4,shift(X5,X2)))) <=> ~$less(X3,X2)) & c_sort(X4,X1) = X5) & pointer(X0) = X4)),
% 262.84/34.22    inference(rectify,[],[f202])).
% 262.84/34.22  
% 262.84/34.22  tff(f318,plain,(
% 262.84/34.22    ! [X0 : c_type,X1 : c_unsorted] : ? [X2 : c_type] : (? [X3 : c_sorted] : (c_sort(X2,shift(X3,0)) = X3 & c_sort(X2,X1) = X3) & pointer(X0) = X2)),
% 262.84/34.22    inference(rectify,[],[f50])).
% 262.84/34.22  
% 262.84/34.22  tff(f375,plain,(
% 262.84/34.22    ! [X0 : $int,X1 : $int] : ((~$less(X1,0) & ~$less(X0,0)) => ~$less(asr(X0,X1),0))),
% 262.84/34.22    inference(rectify,[],[f216])).
% 262.84/34.22  
% 262.84/34.22  tff(f376,plain,(
% 262.84/34.22    ! [X0 : $int,X1 : $int] : ((~$less(X1,0) & ~$less(X0,0)) => ~$less(X0,asr(X0,X1)))),
% 262.84/34.22    inference(rectify,[],[f217])).
% 262.84/34.22  
% 262.84/34.22  tff(f497,plain,(
% 262.84/34.22    ! [X0 : $int,X1 : $int] : (~$less(asr(X0,X1),0) | ($less(X1,0) | $less(X0,0)))),
% 262.84/34.22    inference(ennf_transformation,[],[f375])).
% 262.84/34.22  
% 262.84/34.22  tff(f498,plain,(
% 262.84/34.22    ! [X0 : $int,X1 : $int] : (~$less(asr(X0,X1),0) | $less(X1,0) | $less(X0,0))),
% 262.84/34.22    inference(flattening,[],[f497])).
% 262.84/34.22  
% 262.84/34.22  tff(f499,plain,(
% 262.84/34.22    ! [X0 : $int,X1 : $int] : (~$less(X0,asr(X0,X1)) | ($less(X1,0) | $less(X0,0)))),
% 262.84/34.22    inference(ennf_transformation,[],[f376])).
% 262.84/34.22  
% 262.84/34.22  tff(f500,plain,(
% 262.84/34.22    ! [X0 : $int,X1 : $int] : (~$less(X0,asr(X0,X1)) | $less(X1,0) | $less(X0,0))),
% 262.84/34.22    inference(flattening,[],[f499])).
% 262.84/34.22  
% 262.84/34.22  tff(f586,plain,(
% 262.84/34.22    ! [X0 : c_type,X1 : c_unsorted,X2 : $int,X3 : $int] : ? [X4 : c_type] : (? [X5 : c_sorted] : (((~$less(address(c_sort(X4,shift(X5,X3))),address(c_sort(X4,shift(X5,X2)))) | $less(X3,X2)) & (~$less(X3,X2) | $less(address(c_sort(X4,shift(X5,X3))),address(c_sort(X4,shift(X5,X2)))))) & c_sort(X4,X1) = X5) & pointer(X0) = X4)),
% 262.84/34.22    inference(nnf_transformation,[],[f317])).
% 262.84/34.22  
% 262.84/34.22  tff(f587,plain,(
% 262.84/34.22    ! [X0 : c_type,X1 : c_unsorted,X2 : $int,X3 : $int] : ? [X4 : c_type] : (? [X5 : c_sorted] : ((~$less(address(c_sort(X4,shift(X5,X3))),address(c_sort(X4,shift(X5,X2)))) | $less(X3,X2)) & (~$less(X3,X2) | $less(address(c_sort(X4,shift(X5,X3))),address(c_sort(X4,shift(X5,X2))))) & c_sort(X4,X1) = X5) & pointer(X0) = X4)),
% 262.84/34.22    inference(flattening,[],[f586])).
% 262.84/34.22  
% 262.84/34.22  tff(f588,plain,(
% 262.84/34.22    ! [X0 : c_type,X1 : c_unsorted,X2 : $int,X3 : $int] : (? [X4 : c_type] : (? [X5 : c_sorted] : ((~$less(address(c_sort(X4,shift(X5,X3))),address(c_sort(X4,shift(X5,X2)))) | $less(X3,X2)) & (~$less(X3,X2) | $less(address(c_sort(X4,shift(X5,X3))),address(c_sort(X4,shift(X5,X2))))) & c_sort(X4,X1) = X5) & pointer(X0) = X4) => (? [X5 : c_sorted] : ((~$less(address(c_sort(sK21(X0,X1,X2,X3),shift(X5,X3))),address(c_sort(sK21(X0,X1,X2,X3),shift(X5,X2)))) | $less(X3,X2)) & (~$less(X3,X2) | $less(address(c_sort(sK21(X0,X1,X2,X3),shift(X5,X3))),address(c_sort(sK21(X0,X1,X2,X3),shift(X5,X2))))) & c_sort(sK21(X0,X1,X2,X3),X1) = X5) & pointer(X0) = sK21(X0,X1,X2,X3)))),
% 262.84/34.22    introduced(choice_axiom,[])).
% 262.84/34.22  
% 262.84/34.22  tff(f589,plain,(
% 262.84/34.22    ! [X0 : c_type,X1 : c_unsorted,X2 : $int,X3 : $int] : (? [X5 : c_sorted] : ((~$less(address(c_sort(sK21(X0,X1,X2,X3),shift(X5,X3))),address(c_sort(sK21(X0,X1,X2,X3),shift(X5,X2)))) | $less(X3,X2)) & (~$less(X3,X2) | $less(address(c_sort(sK21(X0,X1,X2,X3),shift(X5,X3))),address(c_sort(sK21(X0,X1,X2,X3),shift(X5,X2))))) & c_sort(sK21(X0,X1,X2,X3),X1) = X5) => ((~$less(address(c_sort(sK21(X0,X1,X2,X3),shift(sK22(X0,X1,X2,X3),X3))),address(c_sort(sK21(X0,X1,X2,X3),shift(sK22(X0,X1,X2,X3),X2)))) | $less(X3,X2)) & (~$less(X3,X2) | $less(address(c_sort(sK21(X0,X1,X2,X3),shift(sK22(X0,X1,X2,X3),X3))),address(c_sort(sK21(X0,X1,X2,X3),shift(sK22(X0,X1,X2,X3),X2))))) & c_sort(sK21(X0,X1,X2,X3),X1) = sK22(X0,X1,X2,X3)))),
% 262.84/34.22    introduced(choice_axiom,[])).
% 262.84/34.22  
% 262.84/34.22  tff(f590,plain,(
% 262.84/34.22    ! [X0 : c_type,X1 : c_unsorted,X2 : $int,X3 : $int] : (((~$less(address(c_sort(sK21(X0,X1,X2,X3),shift(sK22(X0,X1,X2,X3),X3))),address(c_sort(sK21(X0,X1,X2,X3),shift(sK22(X0,X1,X2,X3),X2)))) | $less(X3,X2)) & (~$less(X3,X2) | $less(address(c_sort(sK21(X0,X1,X2,X3),shift(sK22(X0,X1,X2,X3),X3))),address(c_sort(sK21(X0,X1,X2,X3),shift(sK22(X0,X1,X2,X3),X2))))) & c_sort(sK21(X0,X1,X2,X3),X1) = sK22(X0,X1,X2,X3)) & pointer(X0) = sK21(X0,X1,X2,X3))),
% 262.84/34.22    inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f587,f589,f588])).
% 262.84/34.22  
% 262.84/34.22  tff(f591,plain,(
% 262.84/34.22    ! [X0 : c_type,X1 : c_unsorted] : (? [X2 : c_type] : (? [X3 : c_sorted] : (c_sort(X2,shift(X3,0)) = X3 & c_sort(X2,X1) = X3) & pointer(X0) = X2) => (? [X3 : c_sorted] : (c_sort(sK23(X0,X1),shift(X3,0)) = X3 & c_sort(sK23(X0,X1),X1) = X3) & pointer(X0) = sK23(X0,X1)))),
% 262.84/34.22    introduced(choice_axiom,[])).
% 262.84/34.22  
% 262.84/34.22  tff(f592,plain,(
% 262.84/34.22    ! [X0 : c_type,X1 : c_unsorted] : (? [X3 : c_sorted] : (c_sort(sK23(X0,X1),shift(X3,0)) = X3 & c_sort(sK23(X0,X1),X1) = X3) => (sK24(X0,X1) = c_sort(sK23(X0,X1),shift(sK24(X0,X1),0)) & c_sort(sK23(X0,X1),X1) = sK24(X0,X1)))),
% 262.84/34.22    introduced(choice_axiom,[])).
% 262.84/34.22  
% 262.84/34.22  tff(f593,plain,(
% 262.84/34.22    ! [X0 : c_type,X1 : c_unsorted] : ((sK24(X0,X1) = c_sort(sK23(X0,X1),shift(sK24(X0,X1),0)) & c_sort(sK23(X0,X1),X1) = sK24(X0,X1)) & pointer(X0) = sK23(X0,X1))),
% 262.84/34.22    inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f318,f592,f591])).
% 262.84/34.22  
% 262.84/34.22  tff(f1094,plain,(
% 262.84/34.22    ( ! [X0 : c_type] : (0 = address(c_sort(pointer(X0),null))) )),
% 262.84/34.22    inference(cnf_transformation,[],[f314])).
% 262.84/34.22  
% 262.84/34.22  tff(f1095,plain,(
% 262.84/34.22    ( ! [X0 : c_type,X1 : c_unsorted] : (~$less(address(c_sort(pointer(X0),X1)),0)) )),
% 262.84/34.22    inference(cnf_transformation,[],[f315])).
% 262.84/34.22  
% 262.84/34.22  tff(f1100,plain,(
% 262.84/34.22    ( ! [X2 : $int,X3 : $int,X0 : c_type,X1 : c_unsorted] : (pointer(X0) = sK21(X0,X1,X2,X3)) )),
% 262.84/34.22    inference(cnf_transformation,[],[f590])).
% 262.84/34.22  
% 262.84/34.22  tff(f1101,plain,(
% 262.84/34.22    ( ! [X2 : $int,X3 : $int,X0 : c_type,X1 : c_unsorted] : (c_sort(sK21(X0,X1,X2,X3),X1) = sK22(X0,X1,X2,X3)) )),
% 262.84/34.22    inference(cnf_transformation,[],[f590])).
% 262.84/34.22  
% 262.84/34.22  tff(f1102,plain,(
% 262.84/34.22    ( ! [X2 : $int,X3 : $int,X0 : c_type,X1 : c_unsorted] : (~$less(X3,X2) | $less(address(c_sort(sK21(X0,X1,X2,X3),shift(sK22(X0,X1,X2,X3),X3))),address(c_sort(sK21(X0,X1,X2,X3),shift(sK22(X0,X1,X2,X3),X2))))) )),
% 262.84/34.22    inference(cnf_transformation,[],[f590])).
% 262.84/34.22  
% 262.84/34.22  tff(f1104,plain,(
% 262.84/34.22    ( ! [X0 : c_type,X1 : c_unsorted] : (pointer(X0) = sK23(X0,X1)) )),
% 262.84/34.22    inference(cnf_transformation,[],[f593])).
% 262.84/34.22  
% 262.84/34.22  tff(f1105,plain,(
% 262.84/34.22    ( ! [X0 : c_type,X1 : c_unsorted] : (c_sort(sK23(X0,X1),X1) = sK24(X0,X1)) )),
% 262.84/34.22    inference(cnf_transformation,[],[f593])).
% 262.84/34.22  
% 262.84/34.22  tff(f1106,plain,(
% 262.84/34.22    ( ! [X0 : c_type,X1 : c_unsorted] : (sK24(X0,X1) = c_sort(sK23(X0,X1),shift(sK24(X0,X1),0))) )),
% 262.84/34.22    inference(cnf_transformation,[],[f593])).
% 262.84/34.22  
% 262.84/34.22  tff(f1342,plain,(
% 262.84/34.22    ( ! [X0 : $int,X1 : $int] : (~$less(asr(X0,X1),0) | $less(X1,0) | $less(X0,0)) )),
% 262.84/34.22    inference(cnf_transformation,[],[f498])).
% 262.84/34.22  
% 262.84/34.22  tff(f1343,plain,(
% 262.84/34.22    ( ! [X0 : $int,X1 : $int] : (~$less(X0,asr(X0,X1)) | $less(X1,0) | $less(X0,0)) )),
% 262.84/34.22    inference(cnf_transformation,[],[f500])).
% 262.84/34.22  
% 262.84/34.22  tff(f1609,plain,(
% 262.84/34.22    ( ! [X2 : $int,X3 : $int,X0 : c_type,X1 : c_unsorted] : (c_sort(pointer(X0),X1) = sK22(X0,X1,X2,X3)) )),
% 262.84/34.22    inference(definition_unfolding,[],[f1101,f1100])).
% 262.84/34.22  
% 262.84/34.22  tff(f1610,plain,(
% 262.84/34.22    ( ! [X0 : c_type,X1 : c_unsorted] : (c_sort(pointer(X0),X1) = sK24(X0,X1)) )),
% 262.84/34.22    inference(definition_unfolding,[],[f1105,f1104])).
% 262.84/34.22  
% 262.84/34.22  tff(f1742,plain,(
% 262.84/34.22    ( ! [X2 : $int,X3 : $int,X0 : c_type,X1 : c_unsorted] : (~$less(X3,X2) | $less(address(c_sort(pointer(X0),shift(c_sort(pointer(X0),X1),X3))),address(c_sort(pointer(X0),shift(c_sort(pointer(X0),X1),X2))))) )),
% 262.84/34.22    inference(definition_unfolding,[],[f1102,f1100,f1609,f1100,f1609])).
% 262.84/34.22  
% 262.84/34.22  tff(f1743,plain,(
% 262.84/34.22    ( ! [X0 : c_type,X1 : c_unsorted] : (c_sort(pointer(X0),X1) = c_sort(pointer(X0),shift(c_sort(pointer(X0),X1),0))) )),
% 262.84/34.22    inference(definition_unfolding,[],[f1106,f1610,f1104,f1610])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_58,negated_conjecture,
% 262.84/34.22      ($sum_real($sum_real(X0_2,X1_2),X2_2) = $sum_real(X0_2,$sum_real(X1_2,X2_2))),
% 262.84/34.22      inference(cnf_transformation,[],[f261])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_59,negated_conjecture,
% 262.84/34.22      ($sum_real(X0_2,X1_2) = $sum_real(X1_2,X0_2)),
% 262.84/34.22      inference(cnf_transformation,[],[f260])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_65,negated_conjecture,
% 262.84/34.22      ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 262.84/34.22      inference(cnf_transformation,[],[f254])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_66,negated_conjecture,
% 262.84/34.22      ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 262.84/34.22      inference(cnf_transformation,[],[f253])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_68,negated_conjecture,
% 262.84/34.22      ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 262.84/34.22      inference(cnf_transformation,[],[f251])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_76,negated_conjecture,
% 262.84/34.22      ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 262.84/34.22      inference(cnf_transformation,[],[f243])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_77,negated_conjecture,
% 262.84/34.22      ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 262.84/34.22      inference(cnf_transformation,[],[f242])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_152,negated_conjecture,
% 262.84/34.22      (address(c_sort(pointer(X0_17),null)) = 0),
% 262.84/34.22      inference(cnf_transformation,[],[f1094])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_153,plain,
% 262.84/34.22      (~$less_int(address(c_sort(pointer(X0_17),X0_15)),0)),
% 262.84/34.22      inference(cnf_transformation,[],[f1095])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_157,plain,
% 262.84/34.22      (~$less_int(X0_3,X1_3)|$less_int(address(c_sort(pointer(X0_17),shift(c_sort(pointer(X0_17),X0_15),X0_3))),address(c_sort(pointer(X0_17),shift(c_sort(pointer(X0_17),X0_15),X1_3))))),
% 262.84/34.22      inference(cnf_transformation,[],[f1742])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_158,negated_conjecture,
% 262.84/34.22      (c_sort(pointer(X0_17),shift(c_sort(pointer(X0_17),X0_15),0)) = c_sort(pointer(X0_17),X0_15)),
% 262.84/34.22      inference(cnf_transformation,[],[f1743])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_274,plain,
% 262.84/34.22      (~$less_int(asr(X0_3,X1_3),0)|$less_int(X0_3,0)|$less_int(X1_3,0)),
% 262.84/34.22      inference(cnf_transformation,[],[f1342])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_275,plain,
% 262.84/34.22      (~$less_int(X0_3,asr(X0_3,X1_3))|$less_int(X0_3,0)|$less_int(X1_3,0)),
% 262.84/34.22      inference(cnf_transformation,[],[f1343])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_43028,plain,
% 262.84/34.22      (~$less_int(X0_3,0)|$less_int(address(c_sort(pointer(X0_17),shift(c_sort(pointer(X0_17),X0_15),X0_3))),address(c_sort(pointer(X0_17),X0_15)))),
% 262.84/34.22      inference(superposition,[status(thm)],[c_158,c_157])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_163940,plain,
% 262.84/34.22      (~$less_int(X0_3,0)|$less_int(address(c_sort(pointer(X0_17),shift(c_sort(pointer(X0_17),null),X0_3))),0)),
% 262.84/34.22      inference(superposition,[status(thm)],[c_152,c_43028])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_163977,plain,
% 262.84/34.22      (~$less_int(X0_3,0)),
% 262.84/34.22      inference(forward_subsumption_resolution,[status(thm)],[c_163940,c_153])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_171501,plain,
% 262.84/34.22      (~$less_int(X0_3,asr(X0_3,X1_3))|$less_int(X1_3,0)),
% 262.84/34.22      inference(global_subsumption_just,[status(thm)],[c_275,c_275,c_163977])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_171511,plain,
% 262.84/34.22      (~$less_int(asr(X0_3,X1_3),0)|$less_int(X1_3,0)),
% 262.84/34.22      inference(global_subsumption_just,[status(thm)],[c_274,c_274,c_163977])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_171519,plain,
% 262.84/34.22      ($less_int(0,$sum_int(asr(X0_3,X1_3),1))|$less_int(X1_3,0)),
% 262.84/34.22      inference(superposition,[status(thm)],[c_68,c_171511])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_171522,plain,
% 262.84/34.22      ($less_int(0,$sum_int(1,asr(X0_3,X1_3)))|$less_int(X1_3,0)),
% 262.84/34.22      inference(theory_normalisation,
% 262.84/34.22                [status(thm)],
% 262.84/34.22                [c_171519,c_58,c_59,c_76,c_77,c_65,c_66])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_191589,plain,
% 262.84/34.22      ($less_int(-1,asr(X0_3,X1_3))|$less_int(X1_3,0)),
% 262.84/34.22      inference(smt_theory_normalisation,[status(thm)],[c_171522])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_191607,plain,
% 262.84/34.22      ($less_int(X0_3,0)),
% 262.84/34.22      inference(superposition,[status(thm)],[c_191589,c_171501])).
% 262.84/34.22  
% 262.84/34.22  cnf(c_191608,plain,
% 262.84/34.22      ($false),
% 262.84/34.22      inference(prop_impl_just,[status(thm)],[c_191607,c_163977])).
% 262.84/34.22  
% 262.84/34.22  
% 262.84/34.22  % SZS output end CNFRefutation for theBenchmark.p
% 262.84/34.22  
% 262.84/34.23  
%------------------------------------------------------------------------------