TSTP Solution File: SWC419-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC419-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 03:12:25 EDT 2024
% Result : Unsatisfiable 231.93s 31.29s
% Output : CNFRefutation 231.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 19
% Syntax : Number of clauses : 48 ( 7 unt; 0 nHn; 48 RR)
% Number of literals : 128 ( 72 equ; 83 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
cnf(c_53,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(c_54,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(c_55,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(c_56,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sk2
| app(app(X2,cons(X1,nil)),X0) != sk1
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(c_58,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(c_59,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(c_60,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(c_61,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(c_69,plain,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_122,plain,
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause61) ).
cnf(c_134,plain,
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
cnf(c_135,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_145,plain,
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| X0 = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause84) ).
cnf(c_146,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_147,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_210,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause149) ).
cnf(c_290,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_308,plain,
( ~ frontsegP(nil,nil)
| ~ ssList(nil)
| nil = nil ),
inference(instantiation,[status(thm)],[c_145]) ).
cnf(c_430,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_435,plain,
( X0 != X1
| X2 != X3
| app(X0,X2) = app(X1,X3) ),
theory(equality) ).
cnf(c_1698,plain,
neq(sk4,nil),
inference(demodulation,[status(thm)],[c_55,c_53]) ).
cnf(c_5093,plain,
( X0 != X1
| sk2 != X1
| sk2 = X0 ),
inference(instantiation,[status(thm)],[c_430]) ).
cnf(c_7287,plain,
( X0 != sk3
| sk1 = X0 ),
inference(resolution,[status(thm)],[c_430,c_54]) ).
cnf(c_7805,plain,
( ~ ssList(sk3)
| sk1 = app(sk3,nil) ),
inference(resolution,[status(thm)],[c_7287,c_134]) ).
cnf(c_11716,plain,
( X0 != sk4
| sk2 != sk4
| sk2 = X0 ),
inference(instantiation,[status(thm)],[c_5093]) ).
cnf(c_13273,plain,
( ~ ssList(X0)
| ~ ssItem(sk5)
| ssList(cons(sk5,X0)) ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_13276,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ssList(cons(sk5,nil)) ),
inference(instantiation,[status(thm)],[c_13273]) ).
cnf(c_13297,plain,
( app(cons(sk5,nil),sk6) != sk4
| sk2 != sk4
| sk2 = app(cons(sk5,nil),sk6) ),
inference(instantiation,[status(thm)],[c_11716]) ).
cnf(c_16358,plain,
( X0 != app(cons(sk5,nil),sk6)
| sk2 != app(cons(sk5,nil),sk6)
| sk2 = X0 ),
inference(instantiation,[status(thm)],[c_5093]) ).
cnf(c_20182,plain,
( app(nil,app(cons(sk5,nil),sk6)) != app(cons(sk5,nil),sk6)
| sk2 != app(cons(sk5,nil),sk6)
| sk2 = app(nil,app(cons(sk5,nil),sk6)) ),
inference(instantiation,[status(thm)],[c_16358]) ).
cnf(c_20183,plain,
( ~ ssList(app(cons(sk5,nil),sk6))
| app(nil,app(cons(sk5,nil),sk6)) = app(cons(sk5,nil),sk6) ),
inference(instantiation,[status(thm)],[c_135]) ).
cnf(c_25681,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ssList(app(cons(sk5,nil),sk6)) ),
inference(instantiation,[status(thm)],[c_146]) ).
cnf(c_135519,plain,
( app(app(X0,cons(X1,nil)),X2) != X3
| sk2 != X3
| app(app(X0,cons(X1,nil)),X2) = sk2 ),
inference(instantiation,[status(thm)],[c_430]) ).
cnf(c_136228,plain,
( app(app(X0,cons(sk5,nil)),X1) != sk2
| app(app(X1,cons(sk5,nil)),X0) != sk1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(sk5) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_173553,plain,
( ~ ssList(cons(X0,nil))
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X2,cons(X0,nil)),X1) = app(X2,app(cons(X0,nil),X1)) ),
inference(instantiation,[status(thm)],[c_210]) ).
cnf(c_173565,plain,
( app(app(X0,cons(X1,nil)),X2) != X3
| X4 != X3
| app(app(X0,cons(X1,nil)),X2) = X4 ),
inference(instantiation,[status(thm)],[c_430]) ).
cnf(c_173567,plain,
( app(X0,cons(X1,nil)) != X2
| X3 != X4
| app(app(X0,cons(X1,nil)),X3) = app(X2,X4) ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_185092,plain,
( app(sk6,cons(sk5,nil)) != sk3
| X0 != X1
| app(app(sk6,cons(sk5,nil)),X0) = app(sk3,X1) ),
inference(instantiation,[status(thm)],[c_173567]) ).
cnf(c_185093,plain,
( app(sk6,cons(sk5,nil)) != sk3
| nil != nil
| app(app(sk6,cons(sk5,nil)),nil) = app(sk3,nil) ),
inference(instantiation,[status(thm)],[c_185092]) ).
cnf(c_192576,plain,
( app(app(sk6,cons(sk5,nil)),X0) != app(sk3,X1)
| X2 != app(sk3,X1)
| app(app(sk6,cons(sk5,nil)),X0) = X2 ),
inference(instantiation,[status(thm)],[c_173565]) ).
cnf(c_194337,plain,
( app(app(X0,cons(X1,nil)),X2) != app(nil,app(cons(sk5,nil),sk6))
| sk2 != app(nil,app(cons(sk5,nil),sk6))
| app(app(X0,cons(X1,nil)),X2) = sk2 ),
inference(instantiation,[status(thm)],[c_135519]) ).
cnf(c_200862,plain,
( app(app(nil,cons(sk5,nil)),sk6) != app(nil,app(cons(sk5,nil),sk6))
| sk2 != app(nil,app(cons(sk5,nil),sk6))
| app(app(nil,cons(sk5,nil)),sk6) = sk2 ),
inference(instantiation,[status(thm)],[c_194337]) ).
cnf(c_200863,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(nil)
| ~ ssList(sk6)
| app(app(nil,cons(sk5,nil)),sk6) = app(nil,app(cons(sk5,nil),sk6)) ),
inference(instantiation,[status(thm)],[c_173553]) ).
cnf(c_205497,plain,
( app(app(nil,cons(sk5,nil)),sk6) != sk2
| app(app(sk6,cons(sk5,nil)),nil) != sk1
| ~ ssList(nil)
| ~ ssList(sk6)
| ~ ssItem(sk5) ),
inference(instantiation,[status(thm)],[c_136228]) ).
cnf(c_357986,plain,
( app(app(sk6,cons(sk5,nil)),X0) != app(sk3,nil)
| sk1 != app(sk3,nil)
| app(app(sk6,cons(sk5,nil)),X0) = sk1 ),
inference(instantiation,[status(thm)],[c_192576]) ).
cnf(c_357987,plain,
( app(app(sk6,cons(sk5,nil)),nil) != app(sk3,nil)
| sk1 != app(sk3,nil)
| app(app(sk6,cons(sk5,nil)),nil) = sk1 ),
inference(instantiation,[status(thm)],[c_357986]) ).
cnf(c_357988,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_357987,c_205497,c_200863,c_200862,c_185093,c_25681,c_20183,c_20182,c_13297,c_13276,c_7805,c_1698,c_60,c_61,c_308,c_290,c_58,c_59,c_53,c_69,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC419-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.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 23:55:51 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 231.93/31.29 % SZS status Started for theBenchmark.p
% 231.93/31.29 % SZS status Unsatisfiable for theBenchmark.p
% 231.93/31.29
% 231.93/31.29 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 231.93/31.29
% 231.93/31.29 ------ iProver source info
% 231.93/31.29
% 231.93/31.29 git: date: 2024-05-02 19:28:25 +0000
% 231.93/31.29 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 231.93/31.29 git: non_committed_changes: false
% 231.93/31.29
% 231.93/31.29 ------ Parsing...successful
% 231.93/31.29
% 231.93/31.29
% 231.93/31.29
% 231.93/31.29 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e
% 231.93/31.29
% 231.93/31.29 ------ Preprocessing...
% 231.93/31.29
% 231.93/31.29 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 231.93/31.29 ------ Proving...
% 231.93/31.29 ------ Problem Properties
% 231.93/31.29
% 231.93/31.29
% 231.93/31.29 clauses 194
% 231.93/31.29 conjectures 13
% 231.93/31.29 EPR 64
% 231.93/31.29 Horn 164
% 231.93/31.29 unary 61
% 231.93/31.29 binary 30
% 231.93/31.29 lits 583
% 231.93/31.29 lits eq 79
% 231.93/31.29 fd_pure 0
% 231.93/31.29 fd_pseudo 0
% 231.93/31.29 fd_cond 15
% 231.93/31.29 fd_pseudo_cond 16
% 231.93/31.29 AC symbols 0
% 231.93/31.29
% 231.93/31.29 ------ Input Options Time Limit: Unbounded
% 231.93/31.29
% 231.93/31.29
% 231.93/31.29 ------
% 231.93/31.29 Current options:
% 231.93/31.29 ------
% 231.93/31.29
% 231.93/31.29
% 231.93/31.29
% 231.93/31.29
% 231.93/31.29 ------ Proving...
% 231.93/31.29
% 231.93/31.29
% 231.93/31.29 % SZS status Unsatisfiable for theBenchmark.p
% 231.93/31.29
% 231.93/31.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 231.93/31.29
% 231.93/31.31
%------------------------------------------------------------------------------