TSTP Solution File: SWC211-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC211-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 03:11:36 EDT 2024
% Result : Unsatisfiable 83.80s 12.23s
% Output : CNFRefutation 83.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 27
% Syntax : Number of clauses : 74 ( 27 unt; 11 nHn; 66 RR)
% Number of literals : 184 ( 63 equ; 111 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 65 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
cnf(c_50,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
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_56,negated_conjecture,
( app(cons(X0,nil),X1) != sk4
| ~ ssList(X1)
| ~ ssItem(X0)
| app(X1,cons(X0,nil)) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(c_57,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(c_66,plain,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_70,plain,
ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(c_71,plain,
ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(c_109,plain,
ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).
cnf(c_132,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_135,plain,
( ~ ssList(X0)
| X0 = nil
| ssList(tl(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause77) ).
cnf(c_136,plain,
( ~ ssList(X0)
| X0 = nil
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause78) ).
cnf(c_143,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_144,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_154,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(c_156,plain,
( cons(X0,X1) != nil
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(c_158,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(c_162,plain,
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(c_167,plain,
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(c_173,plain,
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(c_177,plain,
( app(X0,X1) != nil
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause119) ).
cnf(c_190,plain,
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).
cnf(c_202,plain,
( app(X0,X1) != X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause144) ).
cnf(c_236,plain,
( X0 != X1
| ~ frontsegP(X2,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X1)
| frontsegP(cons(X0,X2),cons(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause178) ).
cnf(c_249,plain,
( ~ neq(X0,X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_173]) ).
cnf(c_253,plain,
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(unflattening,[status(thm)],[c_202]) ).
cnf(c_259,plain,
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| frontsegP(cons(X2,X0),cons(X2,X1)) ),
inference(unflattening,[status(thm)],[c_236]) ).
cnf(c_429,plain,
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(prop_impl_just,[status(thm)],[c_249]) ).
cnf(c_430,plain,
( ~ neq(X0,X0)
| ~ ssList(X0) ),
inference(renaming,[status(thm)],[c_429]) ).
cnf(c_740,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_253,c_143]) ).
cnf(c_1684,plain,
( X0 != sk2
| X0 != nil
| ~ ssList(X0) ),
inference(resolution_lifted,[status(thm)],[c_55,c_430]) ).
cnf(c_1685,plain,
( sk2 != nil
| ~ ssList(sk2) ),
inference(unflattening,[status(thm)],[c_1684]) ).
cnf(c_1686,plain,
sk2 != nil,
inference(global_subsumption_just,[status(thm)],[c_1685,c_50,c_1685]) ).
cnf(c_1704,plain,
( X0 != sk1
| X1 != nil
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(resolution_lifted,[status(thm)],[c_57,c_158]) ).
cnf(c_1705,plain,
( ~ ssList(sk1)
| ~ ssList(nil)
| sk1 = nil ),
inference(unflattening,[status(thm)],[c_1704]) ).
cnf(c_1706,plain,
sk1 = nil,
inference(global_subsumption_just,[status(thm)],[c_1705,c_49,c_66,c_1705]) ).
cnf(c_3727,plain,
sk3 = nil,
inference(light_normalisation,[status(thm)],[c_54,c_1706]) ).
cnf(c_3728,plain,
sk4 != nil,
inference(light_normalisation,[status(thm)],[c_1686,c_53]) ).
cnf(c_3730,plain,
( app(cons(X0,nil),X1) != sk4
| ~ ssList(X1)
| ~ ssItem(X0)
| app(X1,cons(X0,nil)) = nil ),
inference(light_normalisation,[status(thm)],[c_56,c_3727]) ).
cnf(c_9631,plain,
( ~ ssList(sk4)
| sk4 = nil
| ssList(tl(sk4)) ),
inference(instantiation,[status(thm)],[c_135]) ).
cnf(c_9632,plain,
( ~ ssList(sk4)
| sk4 = nil
| ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_136]) ).
cnf(c_10367,plain,
( cons(hd(sk4),X0) != nil
| ~ ssItem(hd(sk4))
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_156]) ).
cnf(c_10377,plain,
( app(cons(hd(sk4),nil),X0) != sk4
| ~ ssItem(hd(sk4))
| ~ ssList(X0)
| app(X0,cons(hd(sk4),nil)) = nil ),
inference(instantiation,[status(thm)],[c_3730]) ).
cnf(c_10379,plain,
( cons(hd(sk4),nil) != nil
| ~ ssItem(hd(sk4))
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_10367]) ).
cnf(c_10389,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(X0)
| ssList(cons(hd(sk4),X0)) ),
inference(instantiation,[status(thm)],[c_144]) ).
cnf(c_10390,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(nil)
| ssList(cons(hd(sk4),nil)) ),
inference(instantiation,[status(thm)],[c_10389]) ).
cnf(c_11250,plain,
app(nil,skaf82(X0)) = skaf82(X0),
inference(superposition,[status(thm)],[c_71,c_132]) ).
cnf(c_11844,plain,
( ~ ssList(skaf82(X0))
| ~ ssList(nil)
| frontsegP(skaf82(X0),nil) ),
inference(superposition,[status(thm)],[c_11250,c_740]) ).
cnf(c_12582,plain,
( cons(hd(sk2),tl(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_50,c_162]) ).
cnf(c_12729,plain,
( cons(skaf83(sk2),skaf82(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_50,c_167]) ).
cnf(c_13817,plain,
( app(cons(hd(sk4),nil),skaf45(sk4,cons(hd(sk4),nil))) != sk4
| ~ ssList(skaf45(sk4,cons(hd(sk4),nil)))
| ~ ssItem(hd(sk4))
| app(skaf45(sk4,cons(hd(sk4),nil)),cons(hd(sk4),nil)) = nil ),
inference(instantiation,[status(thm)],[c_10377]) ).
cnf(c_13818,plain,
( ~ frontsegP(sk4,cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(sk4)
| app(cons(hd(sk4),nil),skaf45(sk4,cons(hd(sk4),nil))) = sk4 ),
inference(instantiation,[status(thm)],[c_190]) ).
cnf(c_15125,plain,
( cons(hd(sk2),tl(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_50,c_162]) ).
cnf(c_15472,plain,
cons(hd(sk2),tl(sk2)) = sk2,
inference(global_subsumption_just,[status(thm)],[c_15125,c_50,c_1685,c_12582]) ).
cnf(c_15474,plain,
cons(hd(sk4),tl(sk4)) = sk4,
inference(superposition,[status(thm)],[c_53,c_15472]) ).
cnf(c_17411,plain,
( ~ frontsegP(tl(sk4),X0)
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| ~ ssList(X0)
| frontsegP(sk4,cons(hd(sk4),X0)) ),
inference(superposition,[status(thm)],[c_15474,c_259]) ).
cnf(c_17429,plain,
( ~ frontsegP(tl(sk4),nil)
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| ~ ssList(nil)
| frontsegP(sk4,cons(hd(sk4),nil)) ),
inference(instantiation,[status(thm)],[c_17411]) ).
cnf(c_18457,plain,
ssList(skaf45(sk4,cons(hd(sk4),nil))),
inference(instantiation,[status(thm)],[c_109]) ).
cnf(c_53100,plain,
app(nil,skaf82(X0)) = skaf82(X0),
inference(superposition,[status(thm)],[c_71,c_132]) ).
cnf(c_53191,plain,
( ~ ssItem(X0)
| tl(cons(X0,skaf82(X1))) = skaf82(X1) ),
inference(superposition,[status(thm)],[c_71,c_154]) ).
cnf(c_53701,plain,
( cons(skaf83(sk2),skaf82(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_50,c_167]) ).
cnf(c_53785,plain,
cons(skaf83(sk2),skaf82(sk2)) = sk2,
inference(global_subsumption_just,[status(thm)],[c_53701,c_50,c_1685,c_12729]) ).
cnf(c_53787,plain,
cons(skaf83(sk4),skaf82(sk4)) = sk4,
inference(superposition,[status(thm)],[c_53,c_53785]) ).
cnf(c_55701,plain,
tl(cons(skaf83(X0),skaf82(X1))) = skaf82(X1),
inference(superposition,[status(thm)],[c_70,c_53191]) ).
cnf(c_67103,plain,
( ~ ssList(skaf82(X0))
| ~ ssList(nil)
| frontsegP(skaf82(X0),nil) ),
inference(superposition,[status(thm)],[c_53100,c_740]) ).
cnf(c_67181,plain,
frontsegP(skaf82(X0),nil),
inference(global_subsumption_just,[status(thm)],[c_67103,c_66,c_71,c_11844]) ).
cnf(c_75514,plain,
( app(X0,cons(X1,X2)) != nil
| ~ ssList(cons(X1,X2))
| ~ ssList(X0)
| cons(X1,X2) = nil ),
inference(instantiation,[status(thm)],[c_177]) ).
cnf(c_81978,plain,
skaf82(sk4) = tl(sk4),
inference(superposition,[status(thm)],[c_53787,c_55701]) ).
cnf(c_82185,plain,
frontsegP(tl(sk4),nil),
inference(superposition,[status(thm)],[c_81978,c_67181]) ).
cnf(c_87333,plain,
( app(skaf45(sk4,cons(hd(sk4),nil)),cons(hd(sk4),nil)) != nil
| ~ ssList(skaf45(sk4,cons(hd(sk4),nil)))
| ~ ssList(cons(hd(sk4),nil))
| cons(hd(sk4),nil) = nil ),
inference(instantiation,[status(thm)],[c_75514]) ).
cnf(c_87334,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_87333,c_82185,c_18457,c_17429,c_13818,c_13817,c_10390,c_10379,c_9632,c_9631,c_3728,c_66,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC211-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 2 23:27:59 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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
% 83.80/12.23 % SZS status Started for theBenchmark.p
% 83.80/12.23 % SZS status Unsatisfiable for theBenchmark.p
% 83.80/12.23
% 83.80/12.23 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 83.80/12.23
% 83.80/12.23 ------ iProver source info
% 83.80/12.23
% 83.80/12.23 git: date: 2024-05-02 19:28:25 +0000
% 83.80/12.23 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 83.80/12.23 git: non_committed_changes: false
% 83.80/12.23
% 83.80/12.23 ------ Parsing...successful
% 83.80/12.23
% 83.80/12.23
% 83.80/12.23
% 83.80/12.23 ------ Preprocessing... sup_sim: 0 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
% 83.80/12.23
% 83.80/12.23 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 83.80/12.23
% 83.80/12.23 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 83.80/12.23 ------ Proving...
% 83.80/12.23 ------ Problem Properties
% 83.80/12.23
% 83.80/12.23
% 83.80/12.23 clauses 186
% 83.80/12.23 conjectures 5
% 83.80/12.23 EPR 60
% 83.80/12.23 Horn 158
% 83.80/12.23 unary 66
% 83.80/12.23 binary 21
% 83.80/12.23 lits 553
% 83.80/12.23 lits eq 75
% 83.80/12.23 fd_pure 0
% 83.80/12.23 fd_pseudo 0
% 83.80/12.23 fd_cond 15
% 83.80/12.23 fd_pseudo_cond 14
% 83.80/12.23 AC symbols 0
% 83.80/12.23
% 83.80/12.23 ------ Input Options Time Limit: Unbounded
% 83.80/12.23
% 83.80/12.23
% 83.80/12.23 ------
% 83.80/12.23 Current options:
% 83.80/12.23 ------
% 83.80/12.23
% 83.80/12.23
% 83.80/12.23
% 83.80/12.23
% 83.80/12.23 ------ Proving...
% 83.80/12.23
% 83.80/12.23
% 83.80/12.23 % SZS status Unsatisfiable for theBenchmark.p
% 83.80/12.23
% 83.80/12.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 83.80/12.24
% 83.80/12.24
%------------------------------------------------------------------------------