TSTP Solution File: SWC204-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC204-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 03:11:34 EDT 2024
% Result : Unsatisfiable 7.97s 1.66s
% Output : CNFRefutation 7.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of clauses : 52 ( 16 unt; 12 nHn; 52 RR)
% Number of literals : 148 ( 57 equ; 93 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
cnf(c_52,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
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,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(c_57,negated_conjecture,
( app(sk3,X0) != X1
| tl(sk4) != X0
| ~ neq(nil,sk4)
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = sk4
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(c_59,negated_conjecture,
( app(sk3,X0) != X1
| tl(sk4) != X0
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(c_60,negated_conjecture,
( ~ neq(sk1,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(c_68,plain,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_134,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_137,plain,
( ~ ssList(X0)
| X0 = nil
| ssList(tl(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause77) ).
cnf(c_138,plain,
( ~ ssList(X0)
| X0 = nil
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause78) ).
cnf(c_145,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_159,plain,
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause99) ).
cnf(c_160,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(c_164,plain,
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(c_175,plain,
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(c_210,plain,
( app(X0,X1) != app(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause150) ).
cnf(c_251,plain,
( ~ neq(X0,X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_175]) ).
cnf(c_262,negated_conjecture,
( ~ ssList(app(sk3,tl(sk4)))
| ~ ssList(tl(sk4))
| ~ neq(nil,sk4)
| app(sk3,tl(sk4)) = sk4
| neq(sk2,nil) ),
inference(unflattening,[status(thm)],[c_57]) ).
cnf(c_263,negated_conjecture,
( ~ ssList(app(sk3,tl(sk4)))
| ~ ssList(tl(sk4))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| app(sk3,tl(sk4)) = sk4 ),
inference(unflattening,[status(thm)],[c_59]) ).
cnf(c_398,negated_conjecture,
neq(sk2,nil),
inference(global_subsumption_just,[status(thm)],[c_262,c_55]) ).
cnf(c_1531,plain,
neq(sk4,nil),
inference(demodulation,[status(thm)],[c_398,c_53]) ).
cnf(c_1613,plain,
~ neq(sk1,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_60,c_1531]) ).
cnf(c_2364,plain,
( ~ ssList(app(sk1,tl(sk4)))
| ~ ssList(tl(sk4))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| app(sk1,tl(sk4)) = sk4 ),
inference(light_normalisation,[status(thm)],[c_263,c_54]) ).
cnf(c_2365,plain,
( ~ ssList(app(sk1,tl(sk4)))
| ~ ssList(tl(sk4))
| ~ neq(nil,sk4)
| app(sk1,tl(sk4)) = sk4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2364,c_1531]) ).
cnf(c_2831,plain,
( X0 != sk4
| X0 != nil
| ~ ssList(X0) ),
inference(resolution_lifted,[status(thm)],[c_1531,c_251]) ).
cnf(c_2832,plain,
( sk4 != nil
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_2831]) ).
cnf(c_2833,plain,
sk4 != nil,
inference(global_subsumption_just,[status(thm)],[c_2832,c_52,c_2832]) ).
cnf(c_2859,plain,
( X0 != sk4
| X1 != nil
| ~ ssList(app(sk1,tl(sk4)))
| ~ ssList(tl(sk4))
| ~ ssList(X0)
| ~ ssList(X1)
| app(sk1,tl(sk4)) = sk4
| X0 = X1 ),
inference(resolution_lifted,[status(thm)],[c_2365,c_160]) ).
cnf(c_2860,plain,
( ~ ssList(app(sk1,tl(sk4)))
| ~ ssList(tl(sk4))
| ~ ssList(sk4)
| ~ ssList(nil)
| app(sk1,tl(sk4)) = sk4
| sk4 = nil ),
inference(unflattening,[status(thm)],[c_2859]) ).
cnf(c_2861,plain,
( app(sk1,tl(sk4)) = sk4
| ~ ssList(tl(sk4))
| ~ ssList(app(sk1,tl(sk4))) ),
inference(global_subsumption_just,[status(thm)],[c_2860,c_52,c_68,c_2832,c_2860]) ).
cnf(c_2862,plain,
( ~ ssList(app(sk1,tl(sk4)))
| ~ ssList(tl(sk4))
| app(sk1,tl(sk4)) = sk4 ),
inference(renaming,[status(thm)],[c_2861]) ).
cnf(c_2883,plain,
( X0 != sk1
| X1 != nil
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(resolution_lifted,[status(thm)],[c_1613,c_160]) ).
cnf(c_2884,plain,
( ~ ssList(sk1)
| ~ ssList(nil)
| sk1 = nil ),
inference(unflattening,[status(thm)],[c_2883]) ).
cnf(c_2885,plain,
sk1 = nil,
inference(global_subsumption_just,[status(thm)],[c_2884,c_49,c_68,c_2884]) ).
cnf(c_4891,plain,
( ~ ssList(app(nil,tl(sk4)))
| ~ ssList(tl(sk4))
| app(nil,tl(sk4)) = sk4 ),
inference(light_normalisation,[status(thm)],[c_2862,c_2885]) ).
cnf(c_9310,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_12096,plain,
app(nil,sk4) = sk4,
inference(superposition,[status(thm)],[c_9310,c_134]) ).
cnf(c_12189,plain,
( ~ ssList(tl(sk4))
| ~ ssList(nil)
| app(nil,tl(sk4)) = sk4 ),
inference(superposition,[status(thm)],[c_145,c_4891]) ).
cnf(c_12194,plain,
( ~ ssList(tl(sk4))
| app(nil,tl(sk4)) = sk4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_12189,c_68]) ).
cnf(c_12227,plain,
( ~ ssList(sk4)
| app(nil,tl(sk4)) = sk4
| sk4 = nil ),
inference(superposition,[status(thm)],[c_137,c_12194]) ).
cnf(c_12228,plain,
app(nil,tl(sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_12227,c_2833,c_9310]) ).
cnf(c_12984,plain,
( ~ ssList(sk4)
| sk4 = nil
| ssList(tl(sk4)) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_12985,plain,
( ~ ssList(sk4)
| sk4 = nil
| ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_138]) ).
cnf(c_13269,plain,
( cons(hd(sk4),tl(sk4)) = sk4
| sk4 = nil ),
inference(superposition,[status(thm)],[c_9310,c_164]) ).
cnf(c_13301,plain,
cons(hd(sk4),tl(sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_13269,c_2833]) ).
cnf(c_13864,plain,
( tl(sk4) != sk4
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4)) ),
inference(superposition,[status(thm)],[c_13301,c_159]) ).
cnf(c_19148,plain,
( app(nil,X0) != sk4
| ~ ssList(X0)
| ~ ssList(sk4)
| ~ ssList(nil)
| X0 = sk4 ),
inference(superposition,[status(thm)],[c_12096,c_210]) ).
cnf(c_19180,plain,
( app(nil,X0) != sk4
| ~ ssList(X0)
| X0 = sk4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_19148,c_68,c_9310]) ).
cnf(c_20262,plain,
( ~ ssList(tl(sk4))
| tl(sk4) = sk4 ),
inference(superposition,[status(thm)],[c_12228,c_19180]) ).
cnf(c_20281,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_20262,c_13864,c_12985,c_12984,c_2832,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC204-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n004.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 23:18:33 EDT 2024
% 0.21/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 7.97/1.66 % SZS status Started for theBenchmark.p
% 7.97/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 7.97/1.66
% 7.97/1.66 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.97/1.66
% 7.97/1.66 ------ iProver source info
% 7.97/1.66
% 7.97/1.66 git: date: 2024-05-02 19:28:25 +0000
% 7.97/1.66 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.97/1.66 git: non_committed_changes: false
% 7.97/1.66
% 7.97/1.66 ------ Parsing...successful
% 7.97/1.66
% 7.97/1.66
% 7.97/1.66
% 7.97/1.66 ------ Preprocessing... sup_sim: 7 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 5 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 7.97/1.66
% 7.97/1.66 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.97/1.66
% 7.97/1.66 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.97/1.66 ------ Proving...
% 7.97/1.66 ------ Problem Properties
% 7.97/1.66
% 7.97/1.66
% 7.97/1.66 clauses 183
% 7.97/1.66 conjectures 2
% 7.97/1.66 EPR 57
% 7.97/1.66 Horn 155
% 7.97/1.66 unary 63
% 7.97/1.66 binary 21
% 7.97/1.66 lits 549
% 7.97/1.66 lits eq 74
% 7.97/1.66 fd_pure 0
% 7.97/1.66 fd_pseudo 0
% 7.97/1.66 fd_cond 15
% 7.97/1.66 fd_pseudo_cond 14
% 7.97/1.66 AC symbols 0
% 7.97/1.66
% 7.97/1.66 ------ Schedule dynamic 5 is on
% 7.97/1.66
% 7.97/1.66 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.97/1.66
% 7.97/1.66
% 7.97/1.66 ------
% 7.97/1.66 Current options:
% 7.97/1.66 ------
% 7.97/1.66
% 7.97/1.66
% 7.97/1.66
% 7.97/1.66
% 7.97/1.66 ------ Proving...
% 7.97/1.66
% 7.97/1.66
% 7.97/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 7.97/1.66
% 7.97/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.97/1.66
% 7.97/1.66
%------------------------------------------------------------------------------