TSTP Solution File: SWC002-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC002-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 03:10:49 EDT 2024
% Result : Unsatisfiable 0.46s 1.15s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 46 ( 15 unt; 0 nHn; 46 RR)
% Number of literals : 159 ( 48 equ; 119 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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_60,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sk2
| sk5(X2,X0,X1) != X1
| app(X0,X2) != sk1
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(c_67,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sk2
| app(X0,X2) != sk1
| ~ neq(sk4,nil)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ssItem(sk5(X2,X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
cnf(c_68,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sk2
| app(X0,X2) != sk1
| ~ neq(sk4,nil)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(sk2,sk5(X2,X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
cnf(c_69,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sk2
| app(X0,X2) != sk1
| ~ neq(sk4,nil)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| geq(sk5(X2,X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
cnf(c_70,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sk2
| sk5(X2,X0,X1) != X1
| app(X0,X2) != sk1
| ~ neq(sk4,nil)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).
cnf(c_71,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_23) ).
cnf(c_72,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_24) ).
cnf(c_73,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_25) ).
cnf(c_74,negated_conjecture,
( ~ neq(sk4,nil)
| app(app(sk7,cons(sk6,nil)),sk8) = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_26) ).
cnf(c_75,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk7,sk8) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_27) ).
cnf(c_76,negated_conjecture,
( ~ memberP(sk4,X0)
| ~ geq(X0,sk6)
| ~ neq(sk4,nil)
| ~ ssItem(X0)
| X0 = sk6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_28) ).
cnf(c_433,negated_conjecture,
neq(sk2,nil),
inference(global_subsumption_just,[status(thm)],[c_60,c_55]) ).
cnf(c_1669,plain,
( ~ neq(sk2,nil)
| ssList(sk8) ),
inference(light_normalisation,[status(thm)],[c_73,c_53]) ).
cnf(c_1670,plain,
ssList(sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_1669,c_433]) ).
cnf(c_1671,plain,
( ~ neq(sk2,nil)
| ssList(sk7) ),
inference(light_normalisation,[status(thm)],[c_72,c_53]) ).
cnf(c_1672,plain,
ssList(sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_1671,c_433]) ).
cnf(c_1673,plain,
( ~ neq(sk2,nil)
| ssItem(sk6) ),
inference(light_normalisation,[status(thm)],[c_71,c_53]) ).
cnf(c_1674,plain,
ssItem(sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_1673,c_433]) ).
cnf(c_1769,plain,
( ~ neq(sk2,nil)
| app(sk7,sk8) = sk1 ),
inference(light_normalisation,[status(thm)],[c_75,c_53,c_54]) ).
cnf(c_1770,plain,
app(sk7,sk8) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[c_1769,c_433]) ).
cnf(c_1957,plain,
( ~ neq(sk2,nil)
| app(app(sk7,cons(sk6,nil)),sk8) = sk2 ),
inference(light_normalisation,[status(thm)],[c_74,c_53]) ).
cnf(c_1958,plain,
app(app(sk7,cons(sk6,nil)),sk8) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[c_1957,c_433]) ).
cnf(c_2173,plain,
( ~ memberP(sk2,X0)
| ~ geq(X0,sk6)
| ~ neq(sk2,nil)
| ~ ssItem(X0)
| X0 = sk6 ),
inference(light_normalisation,[status(thm)],[c_76,c_53]) ).
cnf(c_2174,plain,
( ~ memberP(sk2,X0)
| ~ geq(X0,sk6)
| ~ ssItem(X0)
| X0 = sk6 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2173,c_433]) ).
cnf(c_2553,plain,
( app(app(X0,cons(X1,nil)),X2) != sk2
| app(X0,X2) != sk1
| ~ neq(sk2,nil)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ssItem(sk5(X2,X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_67,c_53]) ).
cnf(c_2554,plain,
( app(app(X0,cons(X1,nil)),X2) != sk2
| app(X0,X2) != sk1
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ssItem(sk5(X2,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2553,c_433]) ).
cnf(c_2567,plain,
( app(app(X0,cons(X1,nil)),X2) != sk2
| app(X0,X2) != sk1
| ~ neq(sk2,nil)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| geq(sk5(X2,X0,X1),X1) ),
inference(light_normalisation,[status(thm)],[c_69,c_53]) ).
cnf(c_2568,plain,
( app(app(X0,cons(X1,nil)),X2) != sk2
| app(X0,X2) != sk1
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| geq(sk5(X2,X0,X1),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2567,c_433]) ).
cnf(c_2581,plain,
( app(app(X0,cons(X1,nil)),X2) != sk2
| app(X0,X2) != sk1
| ~ neq(sk2,nil)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(sk2,sk5(X2,X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_68,c_53]) ).
cnf(c_2582,plain,
( app(app(X0,cons(X1,nil)),X2) != sk2
| app(X0,X2) != sk1
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(sk2,sk5(X2,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2581,c_433]) ).
cnf(c_2595,plain,
( app(app(X0,cons(X1,nil)),X2) != sk2
| sk5(X2,X0,X1) != X1
| app(X0,X2) != sk1
| ~ neq(sk2,nil)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(light_normalisation,[status(thm)],[c_70,c_53]) ).
cnf(c_2596,plain,
( app(app(X0,cons(X1,nil)),X2) != sk2
| sk5(X2,X0,X1) != X1
| app(X0,X2) != sk1
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2595,c_433]) ).
cnf(c_9268,plain,
( app(sk7,sk8) != sk1
| ~ ssList(sk7)
| ~ ssList(sk8)
| ~ ssItem(sk6)
| ssItem(sk5(sk8,sk7,sk6)) ),
inference(superposition,[status(thm)],[c_1958,c_2554]) ).
cnf(c_9269,plain,
ssItem(sk5(sk8,sk7,sk6)),
inference(forward_subsumption_resolution,[status(thm)],[c_9268,c_1674,c_1670,c_1672,c_1770]) ).
cnf(c_9282,plain,
( app(sk7,sk8) != sk1
| ~ ssList(sk7)
| ~ ssList(sk8)
| ~ ssItem(sk6)
| geq(sk5(sk8,sk7,sk6),sk6) ),
inference(superposition,[status(thm)],[c_1958,c_2568]) ).
cnf(c_9283,plain,
geq(sk5(sk8,sk7,sk6),sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_9282,c_1674,c_1670,c_1672,c_1770]) ).
cnf(c_9296,plain,
( app(sk7,sk8) != sk1
| ~ ssList(sk7)
| ~ ssList(sk8)
| ~ ssItem(sk6)
| memberP(sk2,sk5(sk8,sk7,sk6)) ),
inference(superposition,[status(thm)],[c_1958,c_2582]) ).
cnf(c_9297,plain,
memberP(sk2,sk5(sk8,sk7,sk6)),
inference(forward_subsumption_resolution,[status(thm)],[c_9296,c_1674,c_1670,c_1672,c_1770]) ).
cnf(c_9310,plain,
( sk5(sk8,sk7,sk6) != sk6
| app(sk7,sk8) != sk1
| ~ ssList(sk7)
| ~ ssList(sk8)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_1958,c_2596]) ).
cnf(c_9311,plain,
sk5(sk8,sk7,sk6) != sk6,
inference(forward_subsumption_resolution,[status(thm)],[c_9310,c_1674,c_1670,c_1672,c_1770]) ).
cnf(c_9316,plain,
( ~ memberP(sk2,sk5(sk8,sk7,sk6))
| ~ ssItem(sk5(sk8,sk7,sk6))
| sk5(sk8,sk7,sk6) = sk6 ),
inference(superposition,[status(thm)],[c_9283,c_2174]) ).
cnf(c_9317,plain,
~ memberP(sk2,sk5(sk8,sk7,sk6)),
inference(forward_subsumption_resolution,[status(thm)],[c_9316,c_9311,c_9269]) ).
cnf(c_9318,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9317,c_9297]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC002-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 23:28:19 EDT 2024
% 0.13/0.35 % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.46/1.15 % SZS status Started for theBenchmark.p
% 0.46/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.15
% 0.46/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.15
% 0.46/1.15 ------ iProver source info
% 0.46/1.15
% 0.46/1.15 git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.15 git: non_committed_changes: false
% 0.46/1.15
% 0.46/1.15 ------ Parsing...successful
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing... sup_sim: 14 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
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.46/1.15 ------ Proving...
% 0.46/1.15 ------ Problem Properties
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 clauses 192
% 0.46/1.15 conjectures 4
% 0.46/1.15 EPR 61
% 0.46/1.15 Horn 164
% 0.46/1.15 unary 68
% 0.46/1.15 binary 21
% 0.46/1.15 lits 579
% 0.46/1.15 lits eq 84
% 0.46/1.15 fd_pure 0
% 0.46/1.15 fd_pseudo 0
% 0.46/1.15 fd_cond 16
% 0.46/1.15 fd_pseudo_cond 14
% 0.46/1.15 AC symbols 0
% 0.46/1.15
% 0.46/1.15 ------ Schedule dynamic 5 is on
% 0.46/1.15
% 0.46/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------
% 0.46/1.15 Current options:
% 0.46/1.15 ------
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------ Proving...
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.15
% 0.46/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.15
% 1.38/1.16
%------------------------------------------------------------------------------