TSTP Solution File: SWC310-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC310-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : Fri May 3 03:11:57 EDT 2024
% Result : Unsatisfiable 87.73s 12.76s
% Output : CNFRefutation 87.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 23
% Syntax : Number of clauses : 82 ( 21 unt; 9 nHn; 70 RR)
% Number of literals : 222 ( 69 equ; 145 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 67 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
cnf(c_53,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
cnf(c_54,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(c_55,negated_conjecture,
( sk4 != nil
| sk3 = nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(c_56,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(c_57,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(c_58,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(c_59,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(c_60,negated_conjecture,
( sk2 = nil
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(c_61,negated_conjecture,
( app(X0,X1) != X2
| cons(X3,nil) != X1
| tl(sk2) != X0
| hd(sk2) != X3
| X2 != sk1
| ~ neq(nil,sk2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| sk2 = nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
cnf(c_62,negated_conjecture,
( sk1 != nil
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
cnf(c_71,plain,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_135,plain,
( ~ ssList(X0)
| ssItem(X1)
| duplicatefreeP(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(c_140,plain,
( ~ ssList(X0)
| X0 = nil
| ssList(tl(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause77) ).
cnf(c_141,plain,
( ~ ssList(X0)
| X0 = nil
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause78) ).
cnf(c_148,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_149,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_159,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(c_160,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(c_163,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(c_178,plain,
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(c_183,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(c_242,plain,
( app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ duplicatefreeP(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).
cnf(c_254,plain,
( ~ neq(X0,X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_178]) ).
cnf(c_265,plain,
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1) ),
inference(unflattening,[status(thm)],[c_242]) ).
cnf(c_272,negated_conjecture,
( app(tl(sk2),cons(hd(sk2),nil)) != sk1
| ~ ssList(app(tl(sk2),cons(hd(sk2),nil)))
| ~ ssList(cons(hd(sk2),nil))
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| ~ neq(nil,sk2)
| sk2 = nil ),
inference(unflattening,[status(thm)],[c_61]) ).
cnf(c_661,plain,
( app(tl(sk2),cons(hd(sk2),nil)) != sk1
| ~ ssList(cons(hd(sk2),nil))
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| ~ neq(nil,sk2)
| sk2 = nil ),
inference(backward_subsumption_resolution,[status(thm)],[c_272,c_148]) ).
cnf(c_1597,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(light_normalisation,[status(thm)],[c_57,c_53]) ).
cnf(c_1602,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(light_normalisation,[status(thm)],[c_56,c_53]) ).
cnf(c_1673,plain,
( sk2 != nil
| sk1 = nil ),
inference(light_normalisation,[status(thm)],[c_55,c_53,c_54]) ).
cnf(c_1798,plain,
( ~ neq(sk2,nil)
| app(sk6,cons(sk5,nil)) = sk1 ),
inference(light_normalisation,[status(thm)],[c_59,c_53,c_54]) ).
cnf(c_1803,plain,
( ~ neq(sk2,nil)
| app(cons(sk5,nil),sk6) = sk2 ),
inference(light_normalisation,[status(thm)],[c_58,c_53]) ).
cnf(c_3478,plain,
( sk1 != nil
| app(cons(sk5,nil),sk6) = sk2 ),
inference(resolution,[status(thm)],[c_62,c_1803]) ).
cnf(c_3479,plain,
app(cons(sk5,nil),sk6) = sk2,
inference(global_subsumption_just,[status(thm)],[c_3478,c_60,c_1673,c_1803,c_3478]) ).
cnf(c_3484,plain,
( sk1 != nil
| app(sk6,cons(sk5,nil)) = sk1 ),
inference(resolution,[status(thm)],[c_62,c_1798]) ).
cnf(c_3485,plain,
app(sk6,cons(sk5,nil)) = sk1,
inference(global_subsumption_just,[status(thm)],[c_3484,c_60,c_1673,c_1798,c_3484]) ).
cnf(c_3490,plain,
( sk1 != nil
| ssItem(sk5) ),
inference(resolution,[status(thm)],[c_62,c_1602]) ).
cnf(c_3491,plain,
ssItem(sk5),
inference(global_subsumption_just,[status(thm)],[c_3490,c_60,c_1602,c_1673,c_3490]) ).
cnf(c_3496,plain,
( sk1 != nil
| ssList(sk6) ),
inference(resolution,[status(thm)],[c_62,c_1597]) ).
cnf(c_3497,plain,
ssList(sk6),
inference(global_subsumption_just,[status(thm)],[c_3496,c_60,c_1597,c_1673,c_3496]) ).
cnf(c_3543,plain,
( X0 != sk2
| X0 != nil
| sk1 != nil
| ~ ssList(X0) ),
inference(resolution_lifted,[status(thm)],[c_62,c_254]) ).
cnf(c_3544,plain,
( sk1 != nil
| sk2 != nil
| ~ ssList(sk2) ),
inference(unflattening,[status(thm)],[c_3543]) ).
cnf(c_3545,plain,
sk2 != nil,
inference(global_subsumption_just,[status(thm)],[c_3544,c_50,c_1673,c_3544]) ).
cnf(c_3622,plain,
( app(tl(sk2),cons(hd(sk2),nil)) != sk1
| X0 != sk2
| X1 != nil
| ~ ssList(cons(hd(sk2),nil))
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| sk2 = nil ),
inference(resolution_lifted,[status(thm)],[c_661,c_163]) ).
cnf(c_3623,plain,
( app(tl(sk2),cons(hd(sk2),nil)) != sk1
| ~ ssList(cons(hd(sk2),nil))
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| ~ ssList(sk2)
| ~ ssList(nil)
| sk2 = nil ),
inference(unflattening,[status(thm)],[c_3622]) ).
cnf(c_3624,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(tl(sk2))
| ~ ssList(cons(hd(sk2),nil))
| app(tl(sk2),cons(hd(sk2),nil)) != sk1 ),
inference(global_subsumption_just,[status(thm)],[c_3623,c_50,c_71,c_3545,c_3623]) ).
cnf(c_3625,plain,
( app(tl(sk2),cons(hd(sk2),nil)) != sk1
| ~ ssList(cons(hd(sk2),nil))
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2)) ),
inference(renaming,[status(thm)],[c_3624]) ).
cnf(c_6571,plain,
( ssItem(X0)
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_135]) ).
cnf(c_6572,plain,
( duplicatefreeP(X0)
| ~ ssList(X0)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_135]) ).
cnf(c_6573,plain,
( sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_135]) ).
cnf(c_10292,plain,
( ~ ssList(sk2)
| sk2 = nil
| ssList(tl(sk2)) ),
inference(instantiation,[status(thm)],[c_140]) ).
cnf(c_10338,plain,
( ~ ssList(sk2)
| sk2 = nil
| ssItem(hd(sk2)) ),
inference(instantiation,[status(thm)],[c_141]) ).
cnf(c_13287,plain,
( ~ ssList(app(app(X0,cons(sk5,X1)),cons(sk5,X2)))
| ~ duplicatefreeP(app(app(X0,cons(sk5,X1)),cons(sk5,X2)))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sk5) ),
inference(instantiation,[status(thm)],[c_265]) ).
cnf(c_13288,plain,
( ~ ssList(app(app(nil,cons(sk5,nil)),cons(sk5,nil)))
| ~ duplicatefreeP(app(app(nil,cons(sk5,nil)),cons(sk5,nil)))
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(instantiation,[status(thm)],[c_13287]) ).
cnf(c_14254,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(nil)
| ssList(cons(hd(sk2),nil)) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_19918,plain,
( ~ ssList(cons(sk5,X0))
| ~ ssList(X1)
| ssList(app(X1,cons(sk5,X0))) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_19919,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(nil)
| ssList(app(nil,cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_19918]) ).
cnf(c_35524,plain,
( ~ ssList(X0)
| ~ ssItem(sk5)
| ssList(cons(sk5,X0)) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_35525,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ssList(cons(sk5,nil)) ),
inference(instantiation,[status(thm)],[c_35524]) ).
cnf(c_43499,plain,
( ~ ssList(app(X0,cons(sk5,X1)))
| ~ ssList(cons(sk5,X2))
| ssList(app(app(X0,cons(sk5,X1)),cons(sk5,X2))) ),
inference(instantiation,[status(thm)],[c_19918]) ).
cnf(c_43500,plain,
( ~ ssList(app(nil,cons(sk5,nil)))
| ~ ssList(cons(sk5,nil))
| ssList(app(app(nil,cons(sk5,nil)),cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_43499]) ).
cnf(c_96206,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP1_iProver_def
| duplicatefreeP(cons(X1,X0)) ),
inference(superposition,[status(thm)],[c_149,c_6572]) ).
cnf(c_167000,plain,
( ~ ssList(app(app(X0,cons(sk5,X1)),cons(sk5,X2)))
| ~ sP1_iProver_def
| duplicatefreeP(app(app(X0,cons(sk5,X1)),cons(sk5,X2))) ),
inference(instantiation,[status(thm)],[c_6572]) ).
cnf(c_167001,plain,
( ~ ssList(app(app(nil,cons(sk5,nil)),cons(sk5,nil)))
| ~ sP1_iProver_def
| duplicatefreeP(app(app(nil,cons(sk5,nil)),cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_167000]) ).
cnf(c_169909,plain,
~ sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_96206,c_71,c_3491,c_13288,c_19919,c_35525,c_43500,c_167001]) ).
cnf(c_169911,plain,
sP0_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_6573,c_169909]) ).
cnf(c_169916,plain,
ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6571,c_169911]) ).
cnf(c_169990,plain,
( ~ ssList(X0)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_183,c_169916]) ).
cnf(c_170000,plain,
( ~ ssList(X0)
| hd(cons(X1,X0)) = X1 ),
inference(backward_subsumption_resolution,[status(thm)],[c_160,c_169916]) ).
cnf(c_170001,plain,
( ~ ssList(X0)
| tl(cons(X1,X0)) = X0 ),
inference(backward_subsumption_resolution,[status(thm)],[c_159,c_169916]) ).
cnf(c_180600,plain,
app(tl(sk2),cons(hd(sk2),nil)) != sk1,
inference(global_subsumption_just,[status(thm)],[c_3625,c_50,c_71,c_3545,c_3625,c_10292,c_10338,c_14254]) ).
cnf(c_181172,plain,
( ~ ssList(X0)
| tl(cons(X1,X0)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_159,c_170001]) ).
cnf(c_181180,plain,
tl(cons(X0,sk6)) = sk6,
inference(superposition,[status(thm)],[c_3497,c_181172]) ).
cnf(c_181231,plain,
( ~ ssList(X0)
| hd(cons(X1,X0)) = X1 ),
inference(global_subsumption_just,[status(thm)],[c_160,c_170000]) ).
cnf(c_181239,plain,
hd(cons(X0,sk6)) = X0,
inference(superposition,[status(thm)],[c_3497,c_181231]) ).
cnf(c_181692,plain,
( ~ ssList(X0)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_183,c_169990]) ).
cnf(c_181700,plain,
app(cons(X0,nil),sk6) = cons(X0,sk6),
inference(superposition,[status(thm)],[c_3497,c_181692]) ).
cnf(c_181740,plain,
cons(sk5,sk6) = sk2,
inference(demodulation,[status(thm)],[c_3479,c_181700]) ).
cnf(c_182142,plain,
hd(sk2) = sk5,
inference(superposition,[status(thm)],[c_181740,c_181239]) ).
cnf(c_182143,plain,
tl(sk2) = sk6,
inference(superposition,[status(thm)],[c_181740,c_181180]) ).
cnf(c_182150,plain,
app(tl(sk2),cons(sk5,nil)) != sk1,
inference(demodulation,[status(thm)],[c_180600,c_182142]) ).
cnf(c_199786,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_182150,c_182143,c_3485]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC310-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 23:18:56 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 87.73/12.76 % SZS status Started for theBenchmark.p
% 87.73/12.76 % SZS status Unsatisfiable for theBenchmark.p
% 87.73/12.76
% 87.73/12.76 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 87.73/12.76
% 87.73/12.76 ------ iProver source info
% 87.73/12.76
% 87.73/12.76 git: date: 2024-05-02 19:28:25 +0000
% 87.73/12.76 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 87.73/12.76 git: non_committed_changes: false
% 87.73/12.76
% 87.73/12.76 ------ Parsing...successful
% 87.73/12.76
% 87.73/12.76
% 87.73/12.76
% 87.73/12.76 ------ Preprocessing... sup_sim: 9 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 87.73/12.76
% 87.73/12.76 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 87.73/12.76
% 87.73/12.76 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 87.73/12.76 ------ Proving...
% 87.73/12.76 ------ Problem Properties
% 87.73/12.76
% 87.73/12.76
% 87.73/12.76 clauses 187
% 87.73/12.76 conjectures 4
% 87.73/12.76 EPR 59
% 87.73/12.76 Horn 159
% 87.73/12.76 unary 67
% 87.73/12.76 binary 21
% 87.73/12.76 lits 554
% 87.73/12.76 lits eq 75
% 87.73/12.76 fd_pure 0
% 87.73/12.76 fd_pseudo 0
% 87.73/12.76 fd_cond 15
% 87.73/12.76 fd_pseudo_cond 14
% 87.73/12.76 AC symbols 0
% 87.73/12.76
% 87.73/12.76 ------ Schedule dynamic 5 is on
% 87.73/12.76
% 87.73/12.76 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 87.73/12.76
% 87.73/12.76
% 87.73/12.76 ------
% 87.73/12.76 Current options:
% 87.73/12.76 ------
% 87.73/12.76
% 87.73/12.76
% 87.73/12.76
% 87.73/12.76
% 87.73/12.76 ------ Proving...
% 87.73/12.76 Proof_search_loop: time out after: 6273 full_loop iterations
% 87.73/12.76
% 87.73/12.76 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 87.73/12.76
% 87.73/12.76
% 87.73/12.76 ------
% 87.73/12.76 Current options:
% 87.73/12.76 ------
% 87.73/12.76
% 87.73/12.76
% 87.73/12.76
% 87.73/12.76
% 87.73/12.76 ------ Proving...
% 87.73/12.76
% 87.73/12.76
% 87.73/12.76 % SZS status Unsatisfiable for theBenchmark.p
% 87.73/12.76
% 87.73/12.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 87.73/12.77
% 87.73/12.77
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