TSTP Solution File: SWC397-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWC397-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 : Thu Aug 31 20:43:06 EDT 2023
% Result : Unsatisfiable 4.19s 1.18s
% Output : CNFRefutation 4.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of clauses : 72 ( 12 unt; 44 nHn; 72 RR)
% Number of literals : 320 ( 83 equ; 188 neg)
% Maximal clause size : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
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,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(c_56,negated_conjecture,
memberP(sk1,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(c_57,negated_conjecture,
~ memberP(sk2,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(c_58,negated_conjecture,
( sk4 != nil
| sk3 = nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(c_59,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(c_60,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(c_61,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk6,nil),sk7) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(c_62,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk7,cons(sk6,nil)) = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(c_70,plain,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_133,plain,
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(c_148,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_162,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(c_202,plain,
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause140) ).
cnf(c_203,plain,
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause141) ).
cnf(c_220,plain,
( ~ memberP(app(X0,X1),X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| memberP(X0,X2)
| memberP(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause158) ).
cnf(c_223,plain,
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2
| memberP(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause161) ).
cnf(c_1566,plain,
( ~ neq(sk2,nil)
| ssList(sk7) ),
inference(light_normalisation,[status(thm)],[c_60,c_53]) ).
cnf(c_1571,plain,
( ~ neq(sk2,nil)
| ssItem(sk6) ),
inference(light_normalisation,[status(thm)],[c_59,c_53]) ).
cnf(c_1634,plain,
( sk2 != nil
| sk1 = nil ),
inference(light_normalisation,[status(thm)],[c_58,c_53,c_54]) ).
cnf(c_1759,plain,
( ~ neq(sk2,nil)
| app(sk7,cons(sk6,nil)) = sk2 ),
inference(light_normalisation,[status(thm)],[c_62,c_53]) ).
cnf(c_1764,plain,
( ~ neq(sk2,nil)
| app(cons(sk6,nil),sk7) = sk1 ),
inference(light_normalisation,[status(thm)],[c_61,c_53,c_54]) ).
cnf(c_3479,plain,
( X0 != nil
| X1 != sk2
| ~ ssList(X0)
| ~ ssList(X1)
| app(cons(sk6,nil),sk7) = sk1
| X0 = X1 ),
inference(resolution_lifted,[status(thm)],[c_162,c_1764]) ).
cnf(c_3480,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| app(cons(sk6,nil),sk7) = sk1
| nil = sk2 ),
inference(unflattening,[status(thm)],[c_3479]) ).
cnf(c_3481,plain,
( app(cons(sk6,nil),sk7) = sk1
| nil = sk2 ),
inference(global_subsumption_just,[status(thm)],[c_3480,c_50,c_70,c_3480]) ).
cnf(c_3489,plain,
( X0 != nil
| X1 != sk2
| ~ ssList(X0)
| ~ ssList(X1)
| app(sk7,cons(sk6,nil)) = sk2
| X0 = X1 ),
inference(resolution_lifted,[status(thm)],[c_162,c_1759]) ).
cnf(c_3490,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| app(sk7,cons(sk6,nil)) = sk2
| nil = sk2 ),
inference(unflattening,[status(thm)],[c_3489]) ).
cnf(c_3491,plain,
( app(sk7,cons(sk6,nil)) = sk2
| nil = sk2 ),
inference(global_subsumption_just,[status(thm)],[c_3490,c_50,c_70,c_3490]) ).
cnf(c_3499,plain,
( X0 != nil
| X1 != sk2
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| ssItem(sk6) ),
inference(resolution_lifted,[status(thm)],[c_162,c_1571]) ).
cnf(c_3500,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| nil = sk2
| ssItem(sk6) ),
inference(unflattening,[status(thm)],[c_3499]) ).
cnf(c_3501,plain,
( nil = sk2
| ssItem(sk6) ),
inference(global_subsumption_just,[status(thm)],[c_3500,c_50,c_70,c_3500]) ).
cnf(c_3509,plain,
( X0 != nil
| X1 != sk2
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| ssList(sk7) ),
inference(resolution_lifted,[status(thm)],[c_162,c_1566]) ).
cnf(c_3510,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| nil = sk2
| ssList(sk7) ),
inference(unflattening,[status(thm)],[c_3509]) ).
cnf(c_3511,plain,
( nil = sk2
| ssList(sk7) ),
inference(global_subsumption_just,[status(thm)],[c_3510,c_50,c_70,c_3510]) ).
cnf(c_9036,plain,
( ~ ssList(cons(sk6,nil))
| ~ memberP(sk7,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| sk2 = nil
| memberP(sk1,X0) ),
inference(superposition,[status(thm)],[c_3481,c_203]) ).
cnf(c_9074,plain,
( ~ ssList(cons(sk6,nil))
| ~ memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| sk2 = nil
| memberP(cons(sk6,nil),X0)
| memberP(sk7,X0) ),
inference(superposition,[status(thm)],[c_3481,c_220]) ).
cnf(c_9142,plain,
( ~ ssList(cons(sk6,nil))
| ~ memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| X0 = sk6
| sk2 = nil
| memberP(nil,X0)
| memberP(sk7,X0) ),
inference(superposition,[status(thm)],[c_9074,c_223]) ).
cnf(c_9165,plain,
( sk2 = nil
| X0 = sk6
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| ~ memberP(sk1,X0)
| ~ ssItem(X0)
| memberP(sk7,X0) ),
inference(global_subsumption_just,[status(thm)],[c_9142,c_70,c_133,c_9142]) ).
cnf(c_9166,plain,
( ~ ssList(cons(sk6,nil))
| ~ memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| X0 = sk6
| sk2 = nil
| memberP(sk7,X0) ),
inference(renaming,[status(thm)],[c_9165]) ).
cnf(c_9251,plain,
( ~ memberP(cons(sk6,nil),X0)
| ~ ssList(cons(sk6,nil))
| ~ ssItem(X0)
| ~ ssList(sk7)
| sk2 = nil
| memberP(sk2,X0) ),
inference(superposition,[status(thm)],[c_3491,c_203]) ).
cnf(c_9263,plain,
( ~ memberP(cons(sk6,nil),X0)
| ~ ssList(cons(sk6,nil))
| ~ ssItem(X0)
| ~ ssList(sk7)
| sk2 = nil
| memberP(sk1,X0) ),
inference(superposition,[status(thm)],[c_3481,c_202]) ).
cnf(c_9264,plain,
( ~ ssList(cons(sk6,nil))
| ~ memberP(sk7,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| sk2 = nil
| memberP(sk2,X0) ),
inference(superposition,[status(thm)],[c_3491,c_202]) ).
cnf(c_9290,plain,
( ~ ssList(cons(sk6,nil))
| ~ memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| sk2 = nil
| memberP(cons(sk6,nil),X0)
| memberP(sk7,X0) ),
inference(superposition,[status(thm)],[c_3481,c_220]) ).
cnf(c_9291,plain,
( ~ ssList(cons(sk6,nil))
| ~ memberP(sk2,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| sk2 = nil
| memberP(cons(sk6,nil),X0)
| memberP(sk7,X0) ),
inference(superposition,[status(thm)],[c_3491,c_220]) ).
cnf(c_9415,plain,
( ~ ssList(cons(sk6,nil))
| ~ memberP(sk2,X0)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| X0 = sk6
| sk2 = nil
| memberP(nil,X0)
| memberP(sk7,X0) ),
inference(superposition,[status(thm)],[c_9291,c_223]) ).
cnf(c_9416,plain,
( ~ ssList(cons(sk6,nil))
| ~ memberP(sk2,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| sk2 = nil
| memberP(sk1,X0)
| memberP(sk7,X0) ),
inference(superposition,[status(thm)],[c_9291,c_9263]) ).
cnf(c_9434,plain,
( ~ ssList(cons(sk6,nil))
| ~ memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| X0 = sk6
| sk2 = nil
| memberP(nil,X0)
| memberP(sk7,X0) ),
inference(superposition,[status(thm)],[c_9290,c_223]) ).
cnf(c_9436,plain,
( ~ ssList(cons(sk6,nil))
| ~ memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| sk2 = nil
| memberP(sk2,X0)
| memberP(sk7,X0) ),
inference(superposition,[status(thm)],[c_9290,c_9251]) ).
cnf(c_9512,plain,
( memberP(sk1,X0)
| sk2 = nil
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk2,X0)
| ~ ssList(cons(sk6,nil)) ),
inference(global_subsumption_just,[status(thm)],[c_9416,c_9036,c_9416]) ).
cnf(c_9513,plain,
( ~ ssList(cons(sk6,nil))
| ~ memberP(sk2,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| sk2 = nil
| memberP(sk1,X0) ),
inference(renaming,[status(thm)],[c_9512]) ).
cnf(c_9527,plain,
( ~ memberP(sk2,X0)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| sk2 = nil
| memberP(sk1,X0) ),
inference(superposition,[status(thm)],[c_148,c_9513]) ).
cnf(c_9529,plain,
( sk2 = nil
| X0 = sk6
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| ~ memberP(sk2,X0)
| ~ ssItem(X0)
| memberP(sk7,X0) ),
inference(global_subsumption_just,[status(thm)],[c_9415,c_70,c_9166,c_9527]) ).
cnf(c_9530,plain,
( ~ ssList(cons(sk6,nil))
| ~ memberP(sk2,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| X0 = sk6
| sk2 = nil
| memberP(sk7,X0) ),
inference(renaming,[status(thm)],[c_9529]) ).
cnf(c_9548,plain,
( ~ memberP(sk2,X0)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| X0 = sk6
| sk2 = nil
| memberP(sk7,X0) ),
inference(superposition,[status(thm)],[c_148,c_9530]) ).
cnf(c_9550,plain,
( memberP(sk2,X0)
| sk2 = nil
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk1,X0)
| ~ ssList(cons(sk6,nil)) ),
inference(global_subsumption_just,[status(thm)],[c_9436,c_9264,c_9436]) ).
cnf(c_9551,plain,
( ~ ssList(cons(sk6,nil))
| ~ memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| sk2 = nil
| memberP(sk2,X0) ),
inference(renaming,[status(thm)],[c_9550]) ).
cnf(c_9565,plain,
( ~ memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| sk2 = nil
| memberP(sk2,X0) ),
inference(superposition,[status(thm)],[c_148,c_9551]) ).
cnf(c_9567,plain,
( sk2 = nil
| X0 = sk6
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ memberP(sk1,X0)
| ~ ssItem(X0)
| memberP(sk7,X0) ),
inference(global_subsumption_just,[status(thm)],[c_9434,c_70,c_9548,c_9565]) ).
cnf(c_9568,plain,
( ~ memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| X0 = sk6
| sk2 = nil
| memberP(sk7,X0) ),
inference(renaming,[status(thm)],[c_9567]) ).
cnf(c_9584,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| sk2 = nil
| sk5 = sk6
| memberP(sk7,sk5) ),
inference(superposition,[status(thm)],[c_56,c_9568]) ).
cnf(c_9690,plain,
( ~ ssItem(X0)
| ~ memberP(sk1,X0)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| sk2 = nil
| memberP(sk2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_9565,c_70,c_9565]) ).
cnf(c_9691,plain,
( ~ memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| sk2 = nil
| memberP(sk2,X0) ),
inference(renaming,[status(thm)],[c_9690]) ).
cnf(c_9705,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| sk2 = nil
| memberP(sk2,sk5) ),
inference(superposition,[status(thm)],[c_56,c_9691]) ).
cnf(c_9719,plain,
( ~ ssList(sk7)
| ~ ssItem(sk6)
| sk2 = nil ),
inference(global_subsumption_just,[status(thm)],[c_9584,c_55,c_57,c_9705]) ).
cnf(c_9727,plain,
( ~ ssList(sk7)
| sk2 = nil ),
inference(superposition,[status(thm)],[c_3501,c_9719]) ).
cnf(c_9734,plain,
sk2 = nil,
inference(superposition,[status(thm)],[c_3511,c_9727]) ).
cnf(c_9735,plain,
sk1 = nil,
inference(backward_subsumption_resolution,[status(thm)],[c_1634,c_9734]) ).
cnf(c_9745,plain,
sk1 = sk2,
inference(light_normalisation,[status(thm)],[c_9734,c_9735]) ).
cnf(c_9746,plain,
~ memberP(sk1,sk5),
inference(superposition,[status(thm)],[c_9745,c_57]) ).
cnf(c_9748,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_56,c_9746]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC397-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 16:52:05 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.19/1.18 % SZS status Started for theBenchmark.p
% 4.19/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.19/1.18
% 4.19/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.19/1.18
% 4.19/1.18 ------ iProver source info
% 4.19/1.18
% 4.19/1.18 git: date: 2023-05-31 18:12:56 +0000
% 4.19/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.19/1.18 git: non_committed_changes: false
% 4.19/1.18 git: last_make_outside_of_git: false
% 4.19/1.18
% 4.19/1.18 ------ Parsing...successful
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18 ------ 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
% 4.19/1.18
% 4.19/1.18 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.19/1.18
% 4.19/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.19/1.18 ------ Proving...
% 4.19/1.18 ------ Problem Properties
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18 clauses 189
% 4.19/1.18 conjectures 7
% 4.19/1.18 EPR 62
% 4.19/1.18 Horn 157
% 4.19/1.18 unary 65
% 4.19/1.18 binary 26
% 4.19/1.18 lits 558
% 4.19/1.18 lits eq 79
% 4.19/1.18 fd_pure 0
% 4.19/1.18 fd_pseudo 0
% 4.19/1.18 fd_cond 15
% 4.19/1.18 fd_pseudo_cond 14
% 4.19/1.18 AC symbols 0
% 4.19/1.18
% 4.19/1.18 ------ Input Options Time Limit: Unbounded
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18 ------
% 4.19/1.18 Current options:
% 4.19/1.18 ------
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18 ------ Proving...
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18 ------ Proving...
% 4.19/1.18
% 4.19/1.18
% 4.19/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.19/1.18
% 4.19/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.19/1.18
% 4.19/1.19
%------------------------------------------------------------------------------