TSTP Solution File: SWC022-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC022-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 03:10:54 EDT 2024
% Result : Unsatisfiable 10.30s 2.13s
% Output : CNFRefutation 10.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 22
% Syntax : Number of clauses : 67 ( 18 unt; 14 nHn; 65 RR)
% Number of literals : 203 ( 59 equ; 137 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 43 ( 2 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_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_58,negated_conjecture,
( cons(X0,nil) != X1
| hd(sk4) != X0
| ~ neq(nil,sk4)
| ~ ssList(X1)
| ~ ssItem(X0)
| X1 = sk3
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(c_59,negated_conjecture,
( ~ neq(X0,nil)
| ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ neq(sk4,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(c_60,negated_conjecture,
( cons(X0,nil) != X1
| hd(sk4) != X0
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(X1)
| ~ ssItem(X0)
| X1 = sk3 ),
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_72,plain,
ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(c_73,plain,
ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(c_120,plain,
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause60) ).
cnf(c_121,plain,
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause61) ).
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_146,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_158,plain,
( cons(X0,X1) != nil
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).
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_169,plain,
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).
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_238,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_251,plain,
( ~ neq(X0,X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_175]) ).
cnf(c_261,plain,
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| frontsegP(cons(X2,X0),cons(X2,X1)) ),
inference(unflattening,[status(thm)],[c_238]) ).
cnf(c_262,negated_conjecture,
( ~ ssList(cons(hd(sk4),nil))
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| cons(hd(sk4),nil) = sk3
| neq(sk2,nil) ),
inference(unflattening,[status(thm)],[c_58]) ).
cnf(c_263,negated_conjecture,
( ~ ssList(cons(hd(sk4),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| cons(hd(sk4),nil) = sk3 ),
inference(unflattening,[status(thm)],[c_60]) ).
cnf(c_398,negated_conjecture,
neq(sk2,nil),
inference(global_subsumption_just,[status(thm)],[c_262,c_55]) ).
cnf(c_2062,plain,
( ~ neq(X0,nil)
| ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ neq(sk2,nil)
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_59,c_53]) ).
cnf(c_2063,plain,
( ~ neq(X0,nil)
| ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2062,c_398]) ).
cnf(c_2378,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ neq(sk2,nil)
| ~ neq(nil,sk2)
| ~ ssItem(hd(sk2))
| cons(hd(sk2),nil) = sk1 ),
inference(light_normalisation,[status(thm)],[c_263,c_53,c_54]) ).
cnf(c_2379,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ neq(nil,sk2)
| ~ ssItem(hd(sk2))
| cons(hd(sk2),nil) = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2378,c_398]) ).
cnf(c_3422,plain,
( X0 != sk2
| X0 != nil
| ~ ssList(X0) ),
inference(resolution_lifted,[status(thm)],[c_398,c_251]) ).
cnf(c_3423,plain,
( sk2 != nil
| ~ ssList(sk2) ),
inference(unflattening,[status(thm)],[c_3422]) ).
cnf(c_3424,plain,
sk2 != nil,
inference(global_subsumption_just,[status(thm)],[c_3423,c_50,c_3423]) ).
cnf(c_3453,plain,
( X0 != X1
| X2 != nil
| ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| X1 = X2 ),
inference(resolution_lifted,[status(thm)],[c_2063,c_160]) ).
cnf(c_3454,plain,
( ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| X0 = nil ),
inference(unflattening,[status(thm)],[c_3453]) ).
cnf(c_3456,plain,
( ~ ssList(X0)
| ~ frontsegP(sk2,X0)
| ~ frontsegP(sk1,X0)
| X0 = nil ),
inference(global_subsumption_just,[status(thm)],[c_3454,c_68,c_3454]) ).
cnf(c_3457,plain,
( ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ ssList(X0)
| X0 = nil ),
inference(renaming,[status(thm)],[c_3456]) ).
cnf(c_3497,plain,
( X0 != sk2
| X1 != nil
| ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| ~ ssList(X0)
| ~ ssList(X1)
| cons(hd(sk2),nil) = sk1
| X0 = X1 ),
inference(resolution_lifted,[status(thm)],[c_160,c_2379]) ).
cnf(c_3498,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| ~ ssList(sk2)
| ~ ssList(nil)
| cons(hd(sk2),nil) = sk1
| sk2 = nil ),
inference(unflattening,[status(thm)],[c_3497]) ).
cnf(c_3499,plain,
( cons(hd(sk2),nil) = sk1
| ~ ssItem(hd(sk2))
| ~ ssList(cons(hd(sk2),nil)) ),
inference(global_subsumption_just,[status(thm)],[c_3498,c_50,c_68,c_3423,c_3498]) ).
cnf(c_3500,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| cons(hd(sk2),nil) = sk1 ),
inference(renaming,[status(thm)],[c_3499]) ).
cnf(c_6453,negated_conjecture,
ssList(sk2),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_6454,negated_conjecture,
ssList(sk1),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_9045,plain,
( ~ frontsegP(sk2,sk1)
| ~ ssList(sk1)
| sk1 = nil ),
inference(superposition,[status(thm)],[c_121,c_3457]) ).
cnf(c_9046,plain,
( ~ frontsegP(sk2,sk1)
| sk1 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[c_9045,c_6454]) ).
cnf(c_9445,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(nil)
| cons(hd(sk2),nil) = sk1 ),
inference(superposition,[status(thm)],[c_146,c_3500]) ).
cnf(c_9450,plain,
( ~ ssItem(hd(sk2))
| cons(hd(sk2),nil) = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_9445,c_68]) ).
cnf(c_9498,plain,
( ~ ssList(sk2)
| cons(hd(sk2),nil) = sk1
| sk2 = nil ),
inference(superposition,[status(thm)],[c_138,c_9450]) ).
cnf(c_9501,plain,
cons(hd(sk2),nil) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_9498,c_3424,c_6453]) ).
cnf(c_9511,plain,
( ~ frontsegP(X0,nil)
| ~ ssItem(hd(sk2))
| ~ ssList(X0)
| ~ ssList(nil)
| frontsegP(cons(hd(sk2),X0),sk1) ),
inference(superposition,[status(thm)],[c_9501,c_261]) ).
cnf(c_9526,plain,
( ~ frontsegP(X0,nil)
| ~ ssItem(hd(sk2))
| ~ ssList(X0)
| frontsegP(cons(hd(sk2),X0),sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9511,c_68]) ).
cnf(c_9695,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(X0)
| frontsegP(cons(hd(sk2),X0),sk1) ),
inference(global_subsumption_just,[status(thm)],[c_9526,c_120,c_9526]) ).
cnf(c_10161,plain,
( sk1 != nil
| ~ ssItem(hd(sk2))
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9501,c_158]) ).
cnf(c_10162,plain,
( sk1 != nil
| ~ ssItem(hd(sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10161,c_68]) ).
cnf(c_10296,plain,
( ~ ssList(sk2)
| sk2 = nil
| ssList(tl(sk2)) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_10297,plain,
( ~ ssList(sk2)
| sk2 = nil
| ssItem(hd(sk2)) ),
inference(instantiation,[status(thm)],[c_138]) ).
cnf(c_10595,plain,
( cons(hd(sk2),tl(sk2)) = sk2
| sk2 = nil ),
inference(superposition,[status(thm)],[c_6453,c_164]) ).
cnf(c_10627,plain,
cons(hd(sk2),tl(sk2)) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[c_10595,c_3424]) ).
cnf(c_10752,plain,
( cons(skaf83(sk1),skaf82(sk1)) = sk1
| sk1 = nil ),
inference(superposition,[status(thm)],[c_6454,c_169]) ).
cnf(c_11199,plain,
cons(skaf83(sk1),skaf82(sk1)) = sk1,
inference(global_subsumption_just,[status(thm)],[c_10752,c_50,c_3423,c_10162,c_10297,c_10752]) ).
cnf(c_11204,plain,
( sk1 != nil
| ~ ssList(skaf82(sk1))
| ~ ssItem(skaf83(sk1)) ),
inference(superposition,[status(thm)],[c_11199,c_158]) ).
cnf(c_11208,plain,
sk1 != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_11204,c_72,c_73]) ).
cnf(c_11218,plain,
~ frontsegP(sk2,sk1),
inference(backward_subsumption_resolution,[status(thm)],[c_9046,c_11208]) ).
cnf(c_28979,plain,
( ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2))
| frontsegP(sk2,sk1) ),
inference(superposition,[status(thm)],[c_10627,c_9695]) ).
cnf(c_28980,plain,
( ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28979,c_11218]) ).
cnf(c_28983,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_28980,c_10297,c_10296,c_3423,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC022-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 23:39:09 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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
% 10.30/2.13 % SZS status Started for theBenchmark.p
% 10.30/2.13 % SZS status Unsatisfiable for theBenchmark.p
% 10.30/2.13
% 10.30/2.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.30/2.13
% 10.30/2.13 ------ iProver source info
% 10.30/2.13
% 10.30/2.13 git: date: 2024-05-02 19:28:25 +0000
% 10.30/2.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.30/2.13 git: non_committed_changes: false
% 10.30/2.13
% 10.30/2.13 ------ Parsing...successful
% 10.30/2.13
% 10.30/2.13
% 10.30/2.13
% 10.30/2.13 ------ Preprocessing... sup_sim: 6 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
% 10.30/2.13
% 10.30/2.13 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.30/2.13
% 10.30/2.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.30/2.13 ------ Proving...
% 10.30/2.13 ------ Problem Properties
% 10.30/2.13
% 10.30/2.13
% 10.30/2.13 clauses 185
% 10.30/2.13 conjectures 4
% 10.30/2.13 EPR 59
% 10.30/2.13 Horn 157
% 10.30/2.13 unary 63
% 10.30/2.13 binary 22
% 10.30/2.13 lits 555
% 10.30/2.13 lits eq 74
% 10.30/2.13 fd_pure 0
% 10.30/2.13 fd_pseudo 0
% 10.30/2.13 fd_cond 16
% 10.30/2.13 fd_pseudo_cond 14
% 10.30/2.13 AC symbols 0
% 10.30/2.13
% 10.30/2.13 ------ Schedule dynamic 5 is on
% 10.30/2.13
% 10.30/2.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.30/2.13
% 10.30/2.13
% 10.30/2.13 ------
% 10.30/2.13 Current options:
% 10.30/2.13 ------
% 10.30/2.13
% 10.30/2.13
% 10.30/2.13
% 10.30/2.13
% 10.30/2.13 ------ Proving...
% 10.30/2.13
% 10.30/2.13
% 10.30/2.13 % SZS status Unsatisfiable for theBenchmark.p
% 10.30/2.13
% 10.30/2.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.30/2.13
% 10.30/2.14
%------------------------------------------------------------------------------