TSTP Solution File: ARI761_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ARI761_1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:07:43 EDT 2024

% Result   : Unsatisfiable 285.03s 36.55s
% Output   : CNFRefutation 285.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07  % Problem  : ARI761_1 : TPTP v8.1.2. Released v7.0.0.
% 0.06/0.08  % Command  : run_iprover %s %d THM
% 0.07/0.27  % Computer : n016.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 300
% 0.07/0.27  % DateTime : Fri May  3 01:38:00 EDT 2024
% 0.07/0.27  % CPUTime  : 
% 0.11/0.35  Running TFA theorem proving
% 0.11/0.35  Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 285.03/36.55  % SZS status Started for theBenchmark.p
% 285.03/36.55  % SZS status Unsatisfiable for theBenchmark.p
% 285.03/36.55  
% 285.03/36.55  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 285.03/36.55  
% 285.03/36.55  ------  iProver source info
% 285.03/36.55  
% 285.03/36.55  git: date: 2024-05-02 19:28:25 +0000
% 285.03/36.55  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 285.03/36.55  git: non_committed_changes: false
% 285.03/36.55  
% 285.03/36.55  ------ Parsing...
% 285.03/36.55  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 285.03/36.55  
% 285.03/36.55  ------ 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 
% 285.03/36.55  
% 285.03/36.55  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 285.03/36.55  
% 285.03/36.55  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 285.03/36.55  ------ Proving...
% 285.03/36.55  ------ Problem Properties 
% 285.03/36.55  
% 285.03/36.55  
% 285.03/36.55  clauses                                 332
% 285.03/36.55  conjectures                             137
% 285.03/36.55  EPR                                     15
% 285.03/36.55  Horn                                    266
% 285.03/36.55  unary                                   124
% 285.03/36.55  binary                                  158
% 285.03/36.55  lits                                    602
% 285.03/36.55  lits eq                                 238
% 285.03/36.55  fd_pure                                 1
% 285.03/36.55  fd_pseudo                               0
% 285.03/36.55  fd_cond                                 4
% 285.03/36.55  fd_pseudo_cond                          9
% 285.03/36.55  AC symbols                              3
% 285.03/36.55  
% 285.03/36.55  ------ Input Options Time Limit: Unbounded
% 285.03/36.55  
% 285.03/36.55  
% 285.03/36.55  ------ 
% 285.03/36.55  Current options:
% 285.03/36.55  ------ 
% 285.03/36.55  
% 285.03/36.55  
% 285.03/36.55  
% 285.03/36.55  
% 285.03/36.55  ------ Proving...
% 285.03/36.55  
% 285.03/36.55  
% 285.03/36.55  % SZS status Unsatisfiable for theBenchmark.p
% 285.03/36.55  
% 285.03/36.55  % SZS output start CNFRefutation for theBenchmark.p
% 285.03/36.55  
% 285.03/36.55  tff(f46,axiom,(
% 285.03/36.55    ! [X97 : c_type] : 0 = address(c_sort(pointer(X97),null))),
% 285.03/36.55    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_46)).
% 285.03/36.55  
% 285.03/36.55  tff(f47,axiom,(
% 285.03/36.55    ! [X98 : c_type,X99 : c_unsorted] : $lesseq(0,address(c_sort(pointer(X98),X99)))),
% 285.03/36.55    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_47)).
% 285.03/36.55  
% 285.03/36.55  tff(f49,axiom,(
% 285.03/36.55    ! [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)),
% 285.03/36.55    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_49)).
% 285.03/36.55  
% 285.03/36.55  tff(f50,axiom,(
% 285.03/36.55    ! [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)),
% 285.03/36.55    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_50)).
% 285.03/36.55  
% 285.03/36.55  tff(f107,axiom,(
% 285.03/36.55    ! [X474 : $int,X475 : $int] : (($lesseq(0,X475) & $lesseq(0,X474)) => $lesseq(0,asr(X474,X475)))),
% 285.03/36.55    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_107)).
% 285.03/36.55  
% 285.03/36.55  tff(f108,axiom,(
% 285.03/36.55    ! [X476 : $int,X477 : $int] : (($lesseq(0,X477) & $lesseq(0,X476)) => $lesseq(asr(X476,X477),X476))),
% 285.03/36.55    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_108)).
% 285.03/36.55  
% 285.03/36.55  tff(f200,plain,(
% 285.03/36.55    ! [X98 : c_type,X99 : c_unsorted] : ~$less(address(c_sort(pointer(X98),X99)),0)),
% 285.03/36.55    inference(theory_normalization,[],[f47])).
% 285.03/36.55  
% 285.03/36.55  tff(f201,plain,(
% 285.03/36.55    ! [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)),
% 285.03/36.55    inference(theory_normalization,[],[f49])).
% 285.03/36.55  
% 285.03/36.55  tff(f215,plain,(
% 285.03/36.55    ! [X474 : $int,X475 : $int] : ((~$less(X475,0) & ~$less(X474,0)) => ~$less(asr(X474,X475),0))),
% 285.03/36.55    inference(theory_normalization,[],[f107])).
% 285.03/36.55  
% 285.03/36.55  tff(f216,plain,(
% 285.03/36.55    ! [X476 : $int,X477 : $int] : ((~$less(X477,0) & ~$less(X476,0)) => ~$less(X476,asr(X476,X477)))),
% 285.03/36.55    inference(theory_normalization,[],[f108])).
% 285.03/36.55  
% 285.03/36.55  tff(f240,plain,(
% 285.03/36.55    ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 285.03/36.55    introduced(theory_axiom_138,[])).
% 285.03/36.55  
% 285.03/36.55  tff(f241,plain,(
% 285.03/36.55    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 285.03/36.55    introduced(theory_axiom_139,[])).
% 285.03/36.55  
% 285.03/36.55  tff(f249,plain,(
% 285.03/36.55    ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 285.03/36.55    introduced(theory_axiom_150,[])).
% 285.03/36.55  
% 285.03/36.55  tff(f251,plain,(
% 285.03/36.55    ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 285.03/36.55    introduced(theory_axiom_138,[])).
% 285.03/36.55  
% 285.03/36.55  tff(f252,plain,(
% 285.03/36.55    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 285.03/36.55    introduced(theory_axiom_139,[])).
% 285.03/36.55  
% 285.03/36.55  tff(f258,plain,(
% 285.03/36.55    ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 285.03/36.55    introduced(theory_axiom_138,[])).
% 285.03/36.55  
% 285.03/36.55  tff(f259,plain,(
% 285.03/36.55    ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 285.03/36.55    introduced(theory_axiom_139,[])).
% 285.03/36.55  
% 285.03/36.55  tff(f312,plain,(
% 285.03/36.55    ! [X0 : c_type] : 0 = address(c_sort(pointer(X0),null))),
% 285.03/36.55    inference(rectify,[],[f46])).
% 285.03/36.55  
% 285.03/36.55  tff(f313,plain,(
% 285.03/36.55    ! [X0 : c_type,X1 : c_unsorted] : ~$less(address(c_sort(pointer(X0),X1)),0)),
% 285.03/36.55    inference(rectify,[],[f200])).
% 285.03/36.55  
% 285.03/36.55  tff(f315,plain,(
% 285.03/36.55    ! [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)),
% 285.03/36.55    inference(rectify,[],[f201])).
% 285.03/36.55  
% 285.03/36.55  tff(f316,plain,(
% 285.03/36.55    ! [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)),
% 285.03/36.55    inference(rectify,[],[f50])).
% 285.03/36.55  
% 285.03/36.55  tff(f373,plain,(
% 285.03/36.55    ! [X0 : $int,X1 : $int] : ((~$less(X1,0) & ~$less(X0,0)) => ~$less(asr(X0,X1),0))),
% 285.03/36.55    inference(rectify,[],[f215])).
% 285.03/36.55  
% 285.03/36.55  tff(f374,plain,(
% 285.03/36.55    ! [X0 : $int,X1 : $int] : ((~$less(X1,0) & ~$less(X0,0)) => ~$less(X0,asr(X0,X1)))),
% 285.03/36.55    inference(rectify,[],[f216])).
% 285.03/36.55  
% 285.03/36.55  tff(f494,plain,(
% 285.03/36.55    ! [X0 : $int,X1 : $int] : (~$less(asr(X0,X1),0) | ($less(X1,0) | $less(X0,0)))),
% 285.03/36.55    inference(ennf_transformation,[],[f373])).
% 285.03/36.55  
% 285.03/36.55  tff(f495,plain,(
% 285.03/36.55    ! [X0 : $int,X1 : $int] : (~$less(asr(X0,X1),0) | $less(X1,0) | $less(X0,0))),
% 285.03/36.55    inference(flattening,[],[f494])).
% 285.03/36.55  
% 285.03/36.55  tff(f496,plain,(
% 285.03/36.55    ! [X0 : $int,X1 : $int] : (~$less(X0,asr(X0,X1)) | ($less(X1,0) | $less(X0,0)))),
% 285.03/36.55    inference(ennf_transformation,[],[f374])).
% 285.03/36.55  
% 285.03/36.55  tff(f497,plain,(
% 285.03/36.55    ! [X0 : $int,X1 : $int] : (~$less(X0,asr(X0,X1)) | $less(X1,0) | $less(X0,0))),
% 285.03/36.55    inference(flattening,[],[f496])).
% 285.03/36.55  
% 285.03/36.55  tff(f583,plain,(
% 285.03/36.55    ! [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)),
% 285.03/36.55    inference(nnf_transformation,[],[f315])).
% 285.03/36.55  
% 285.03/36.55  tff(f584,plain,(
% 285.03/36.55    ! [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)),
% 285.03/36.55    inference(flattening,[],[f583])).
% 285.03/36.55  
% 285.03/36.55  tff(f585,plain,(
% 285.03/36.55    ! [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)))),
% 285.03/36.55    introduced(choice_axiom,[])).
% 285.03/36.55  
% 285.03/36.55  tff(f586,plain,(
% 285.03/36.55    ! [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)))),
% 285.03/36.55    introduced(choice_axiom,[])).
% 285.03/36.55  
% 285.03/36.55  tff(f587,plain,(
% 285.03/36.55    ! [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) | $less(address(c_sort(sK21(X0,X1,X2,X3),shift(sK22(X0,X1,X2,X3),X3))),address(c_sort(sK21(X0,X1,X2,X3),shift(sK22(X0,X1,X2,X3),X2))))) & c_sort(sK21(X0,X1,X2,X3),X1) = sK22(X0,X1,X2,X3)) & pointer(X0) = sK21(X0,X1,X2,X3))),
% 285.03/36.55    inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f584,f586,f585])).
% 285.03/36.55  
% 285.03/36.55  tff(f588,plain,(
% 285.03/36.55    ! [X0 : c_type,X1 : c_unsorted] : (? [X2 : c_type] : (? [X3 : c_sorted] : (c_sort(X2,shift(X3,0)) = X3 & c_sort(X2,X1) = X3) & pointer(X0) = X2) => (? [X3 : c_sorted] : (c_sort(sK23(X0,X1),shift(X3,0)) = X3 & c_sort(sK23(X0,X1),X1) = X3) & pointer(X0) = sK23(X0,X1)))),
% 285.03/36.55    introduced(choice_axiom,[])).
% 285.03/36.55  
% 285.03/36.55  tff(f589,plain,(
% 285.03/36.55    ! [X0 : c_type,X1 : c_unsorted] : (? [X3 : c_sorted] : (c_sort(sK23(X0,X1),shift(X3,0)) = X3 & c_sort(sK23(X0,X1),X1) = X3) => (sK24(X0,X1) = c_sort(sK23(X0,X1),shift(sK24(X0,X1),0)) & c_sort(sK23(X0,X1),X1) = sK24(X0,X1)))),
% 285.03/36.55    introduced(choice_axiom,[])).
% 285.03/36.55  
% 285.03/36.55  tff(f590,plain,(
% 285.03/36.55    ! [X0 : c_type,X1 : c_unsorted] : ((sK24(X0,X1) = c_sort(sK23(X0,X1),shift(sK24(X0,X1),0)) & c_sort(sK23(X0,X1),X1) = sK24(X0,X1)) & pointer(X0) = sK23(X0,X1))),
% 285.03/36.55    inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f316,f589,f588])).
% 285.03/36.55  
% 285.03/36.55  tff(f1087,plain,(
% 285.03/36.55    ( ! [X0 : c_type] : (0 = address(c_sort(pointer(X0),null))) )),
% 285.03/36.55    inference(cnf_transformation,[],[f312])).
% 285.03/36.55  
% 285.03/36.55  tff(f1088,plain,(
% 285.03/36.55    ( ! [X0 : c_type,X1 : c_unsorted] : (~$less(address(c_sort(pointer(X0),X1)),0)) )),
% 285.03/36.55    inference(cnf_transformation,[],[f313])).
% 285.03/36.55  
% 285.03/36.55  tff(f1093,plain,(
% 285.03/36.55    ( ! [X2 : $int,X3 : $int,X0 : c_type,X1 : c_unsorted] : (pointer(X0) = sK21(X0,X1,X2,X3)) )),
% 285.03/36.55    inference(cnf_transformation,[],[f587])).
% 285.03/36.55  
% 285.03/36.55  tff(f1094,plain,(
% 285.03/36.55    ( ! [X2 : $int,X3 : $int,X0 : c_type,X1 : c_unsorted] : (c_sort(sK21(X0,X1,X2,X3),X1) = sK22(X0,X1,X2,X3)) )),
% 285.03/36.55    inference(cnf_transformation,[],[f587])).
% 285.03/36.55  
% 285.03/36.55  tff(f1095,plain,(
% 285.03/36.55    ( ! [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))))) )),
% 285.03/36.55    inference(cnf_transformation,[],[f587])).
% 285.03/36.55  
% 285.03/36.55  tff(f1097,plain,(
% 285.03/36.55    ( ! [X0 : c_type,X1 : c_unsorted] : (pointer(X0) = sK23(X0,X1)) )),
% 285.03/36.55    inference(cnf_transformation,[],[f590])).
% 285.03/36.55  
% 285.03/36.55  tff(f1098,plain,(
% 285.03/36.55    ( ! [X0 : c_type,X1 : c_unsorted] : (c_sort(sK23(X0,X1),X1) = sK24(X0,X1)) )),
% 285.03/36.55    inference(cnf_transformation,[],[f590])).
% 285.03/36.55  
% 285.03/36.55  tff(f1099,plain,(
% 285.03/36.55    ( ! [X0 : c_type,X1 : c_unsorted] : (sK24(X0,X1) = c_sort(sK23(X0,X1),shift(sK24(X0,X1),0))) )),
% 285.03/36.55    inference(cnf_transformation,[],[f590])).
% 285.03/36.55  
% 285.03/36.55  tff(f1335,plain,(
% 285.03/36.55    ( ! [X0 : $int,X1 : $int] : (~$less(asr(X0,X1),0) | $less(X1,0) | $less(X0,0)) )),
% 285.03/36.55    inference(cnf_transformation,[],[f495])).
% 285.03/36.55  
% 285.03/36.55  tff(f1336,plain,(
% 285.03/36.55    ( ! [X0 : $int,X1 : $int] : (~$less(X0,asr(X0,X1)) | $less(X1,0) | $less(X0,0)) )),
% 285.03/36.55    inference(cnf_transformation,[],[f497])).
% 285.03/36.55  
% 285.03/36.55  tff(f1597,plain,(
% 285.03/36.55    ( ! [X2 : $int,X3 : $int,X0 : c_type,X1 : c_unsorted] : (c_sort(pointer(X0),X1) = sK22(X0,X1,X2,X3)) )),
% 285.03/36.55    inference(definition_unfolding,[],[f1094,f1093])).
% 285.03/36.55  
% 285.03/36.55  tff(f1598,plain,(
% 285.03/36.55    ( ! [X0 : c_type,X1 : c_unsorted] : (c_sort(pointer(X0),X1) = sK24(X0,X1)) )),
% 285.03/36.55    inference(definition_unfolding,[],[f1098,f1097])).
% 285.03/36.55  
% 285.03/36.55  tff(f1729,plain,(
% 285.03/36.55    ( ! [X2 : $int,X3 : $int,X0 : c_type,X1 : c_unsorted] : (~$less(X3,X2) | $less(address(c_sort(pointer(X0),shift(c_sort(pointer(X0),X1),X3))),address(c_sort(pointer(X0),shift(c_sort(pointer(X0),X1),X2))))) )),
% 285.03/36.55    inference(definition_unfolding,[],[f1095,f1093,f1597,f1093,f1597])).
% 285.03/36.55  
% 285.03/36.55  tff(f1730,plain,(
% 285.03/36.55    ( ! [X0 : c_type,X1 : c_unsorted] : (c_sort(pointer(X0),X1) = c_sort(pointer(X0),shift(c_sort(pointer(X0),X1),0))) )),
% 285.03/36.55    inference(definition_unfolding,[],[f1099,f1598,f1097,f1598])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_58,negated_conjecture,
% 285.03/36.55      ($sum_real($sum_real(X0_2,X1_2),X2_2) = $sum_real(X0_2,$sum_real(X1_2,X2_2))),
% 285.03/36.55      inference(cnf_transformation,[],[f259])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_59,negated_conjecture,
% 285.03/36.55      ($sum_real(X0_2,X1_2) = $sum_real(X1_2,X0_2)),
% 285.03/36.55      inference(cnf_transformation,[],[f258])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_65,negated_conjecture,
% 285.03/36.55      ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 285.03/36.55      inference(cnf_transformation,[],[f252])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_66,negated_conjecture,
% 285.03/36.55      ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 285.03/36.55      inference(cnf_transformation,[],[f251])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_68,negated_conjecture,
% 285.03/36.55      ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 285.03/36.55      inference(cnf_transformation,[],[f249])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_76,negated_conjecture,
% 285.03/36.55      ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 285.03/36.55      inference(cnf_transformation,[],[f241])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_77,negated_conjecture,
% 285.03/36.55      ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 285.03/36.55      inference(cnf_transformation,[],[f240])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_152,negated_conjecture,
% 285.03/36.55      (address(c_sort(pointer(X0_17),null)) = 0),
% 285.03/36.55      inference(cnf_transformation,[],[f1087])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_153,plain,
% 285.03/36.55      (~$less_int(address(c_sort(pointer(X0_17),X0_15)),0)),
% 285.03/36.55      inference(cnf_transformation,[],[f1088])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_157,plain,
% 285.03/36.55      (~$less_int(X0_3,X1_3)|$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))))),
% 285.03/36.55      inference(cnf_transformation,[],[f1729])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_158,negated_conjecture,
% 285.03/36.55      (c_sort(pointer(X0_17),shift(c_sort(pointer(X0_17),X0_15),0)) = c_sort(pointer(X0_17),X0_15)),
% 285.03/36.55      inference(cnf_transformation,[],[f1730])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_274,plain,
% 285.03/36.55      (~$less_int(asr(X0_3,X1_3),0)|$less_int(X0_3,0)|$less_int(X1_3,0)),
% 285.03/36.55      inference(cnf_transformation,[],[f1335])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_275,plain,
% 285.03/36.55      (~$less_int(X0_3,asr(X0_3,X1_3))|$less_int(X0_3,0)|$less_int(X1_3,0)),
% 285.03/36.55      inference(cnf_transformation,[],[f1336])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_42508,plain,
% 285.03/36.55      (~$less_int(X0_3,0)|$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)))),
% 285.03/36.55      inference(superposition,[status(thm)],[c_158,c_157])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_161913,plain,
% 285.03/36.55      (~$less_int(X0_3,0)|$less_int(address(c_sort(pointer(X0_17),shift(c_sort(pointer(X0_17),null),X0_3))),0)),
% 285.03/36.55      inference(superposition,[status(thm)],[c_152,c_42508])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_161950,plain,
% 285.03/36.55      (~$less_int(X0_3,0)),
% 285.03/36.55      inference(forward_subsumption_resolution,[status(thm)],[c_161913,c_153])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_169161,plain,
% 285.03/36.55      (~$less_int(X0_3,asr(X0_3,X1_3))|$less_int(X1_3,0)),
% 285.03/36.55      inference(global_subsumption_just,[status(thm)],[c_275,c_275,c_161950])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_169171,plain,
% 285.03/36.55      (~$less_int(asr(X0_3,X1_3),0)|$less_int(X1_3,0)),
% 285.03/36.55      inference(global_subsumption_just,[status(thm)],[c_274,c_274,c_161950])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_169179,plain,
% 285.03/36.55      ($less_int(0,$sum_int(asr(X0_3,X1_3),1))|$less_int(X1_3,0)),
% 285.03/36.55      inference(superposition,[status(thm)],[c_68,c_169171])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_169182,plain,
% 285.03/36.55      ($less_int(0,$sum_int(1,asr(X0_3,X1_3)))|$less_int(X1_3,0)),
% 285.03/36.55      inference(theory_normalisation,
% 285.03/36.55                [status(thm)],
% 285.03/36.55                [c_169179,c_58,c_59,c_76,c_77,c_65,c_66])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_188926,plain,
% 285.03/36.55      ($less_int(-1,asr(X0_3,X1_3))|$less_int(X1_3,0)),
% 285.03/36.55      inference(smt_theory_normalisation,[status(thm)],[c_169182])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_188944,plain,
% 285.03/36.55      ($less_int(X0_3,0)),
% 285.03/36.55      inference(superposition,[status(thm)],[c_188926,c_169161])).
% 285.03/36.55  
% 285.03/36.55  cnf(c_188945,plain,
% 285.03/36.55      ($false),
% 285.03/36.55      inference(prop_impl_just,[status(thm)],[c_188944,c_161950])).
% 285.03/36.55  
% 285.03/36.55  
% 285.03/36.55  % SZS output end CNFRefutation for theBenchmark.p
% 285.03/36.55  
% 285.03/36.56  
%------------------------------------------------------------------------------