TSTP Solution File: SWC416-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC416-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 7.04s 1.63s
% Output : CNFRefutation 7.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of clauses : 44 ( 17 unt; 1 nHn; 44 RR)
% Number of literals : 128 ( 40 equ; 97 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 22 ( 0 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_57,negated_conjecture,
( app(X0,sk1) != X1
| cons(X2,nil) != X0
| hd(sk2) != X2
| X1 != sk2
| ~ neq(nil,sk2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(c_60,negated_conjecture,
( app(X0,sk1) != X1
| cons(X2,nil) != X0
| hd(sk2) != X2
| X1 != sk2
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(c_61,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
cnf(c_62,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk3) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
cnf(c_70,plain,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_148,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_159,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(c_162,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(c_177,plain,
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(c_182,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(c_253,plain,
( ~ neq(X0,X0)
| ~ ssList(X0) ),
inference(unflattening,[status(thm)],[c_177]) ).
cnf(c_270,negated_conjecture,
( app(cons(hd(sk2),nil),sk1) != sk2
| ~ ssList(app(cons(hd(sk2),nil),sk1))
| ~ ssList(cons(hd(sk2),nil))
| ~ neq(nil,sk2)
| ~ ssItem(hd(sk2))
| neq(sk2,nil) ),
inference(unflattening,[status(thm)],[c_57]) ).
cnf(c_271,negated_conjecture,
( app(cons(hd(sk2),nil),sk1) != sk2
| ~ ssList(app(cons(hd(sk2),nil),sk1))
| ~ ssList(cons(hd(sk2),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| ~ ssItem(hd(sk2)) ),
inference(unflattening,[status(thm)],[c_60]) ).
cnf(c_402,negated_conjecture,
neq(sk2,nil),
inference(global_subsumption_just,[status(thm)],[c_270,c_55]) ).
cnf(c_1572,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(light_normalisation,[status(thm)],[c_61,c_53]) ).
cnf(c_1573,plain,
ssItem(sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_1572,c_402]) ).
cnf(c_1752,plain,
( ~ neq(sk2,nil)
| app(cons(sk5,nil),sk1) = sk2 ),
inference(light_normalisation,[status(thm)],[c_62,c_53,c_54]) ).
cnf(c_1753,plain,
app(cons(sk5,nil),sk1) = sk2,
inference(forward_subsumption_resolution,[status(thm)],[c_1752,c_402]) ).
cnf(c_2440,plain,
( app(cons(hd(sk2),nil),sk1) != sk2
| ~ ssList(app(cons(hd(sk2),nil),sk1))
| ~ ssList(cons(hd(sk2),nil))
| ~ neq(sk2,nil)
| ~ neq(nil,sk2)
| ~ ssItem(hd(sk2)) ),
inference(light_normalisation,[status(thm)],[c_271,c_53]) ).
cnf(c_2441,plain,
( app(cons(hd(sk2),nil),sk1) != sk2
| ~ ssList(app(cons(hd(sk2),nil),sk1))
| ~ ssList(cons(hd(sk2),nil))
| ~ neq(nil,sk2)
| ~ ssItem(hd(sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2440,c_402]) ).
cnf(c_2842,plain,
( X0 != sk2
| X0 != nil
| ~ ssList(X0) ),
inference(resolution_lifted,[status(thm)],[c_402,c_253]) ).
cnf(c_2843,plain,
( sk2 != nil
| ~ ssList(sk2) ),
inference(unflattening,[status(thm)],[c_2842]) ).
cnf(c_2873,plain,
( app(cons(hd(sk2),nil),sk1) != sk2
| X0 != sk2
| X1 != nil
| ~ ssList(app(cons(hd(sk2),nil),sk1))
| ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(resolution_lifted,[status(thm)],[c_2441,c_162]) ).
cnf(c_2874,plain,
( app(cons(hd(sk2),nil),sk1) != sk2
| ~ ssList(app(cons(hd(sk2),nil),sk1))
| ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| ~ ssList(sk2)
| ~ ssList(nil)
| sk2 = nil ),
inference(unflattening,[status(thm)],[c_2873]) ).
cnf(c_2875,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(cons(hd(sk2),nil))
| ~ ssList(app(cons(hd(sk2),nil),sk1))
| app(cons(hd(sk2),nil),sk1) != sk2 ),
inference(global_subsumption_just,[status(thm)],[c_2874,c_50,c_70,c_2843,c_2874]) ).
cnf(c_2876,plain,
( app(cons(hd(sk2),nil),sk1) != sk2
| ~ ssList(app(cons(hd(sk2),nil),sk1))
| ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2)) ),
inference(renaming,[status(thm)],[c_2875]) ).
cnf(c_6405,negated_conjecture,
ssList(sk2),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_6406,negated_conjecture,
ssList(sk1),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_9946,plain,
( ~ ssItem(X0)
| hd(cons(X0,sk1)) = X0 ),
inference(superposition,[status(thm)],[c_6406,c_159]) ).
cnf(c_10293,plain,
hd(cons(sk5,sk1)) = sk5,
inference(superposition,[status(thm)],[c_1573,c_9946]) ).
cnf(c_10880,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk1) = cons(X0,sk1) ),
inference(superposition,[status(thm)],[c_6406,c_182]) ).
cnf(c_11123,plain,
app(cons(sk5,nil),sk1) = cons(sk5,sk1),
inference(superposition,[status(thm)],[c_1573,c_10880]) ).
cnf(c_11143,plain,
cons(sk5,sk1) = sk2,
inference(light_normalisation,[status(thm)],[c_11123,c_1753]) ).
cnf(c_11149,plain,
hd(sk2) = sk5,
inference(demodulation,[status(thm)],[c_10293,c_11143]) ).
cnf(c_11151,plain,
( app(cons(sk5,nil),sk1) != sk2
| ~ ssList(app(cons(sk5,nil),sk1))
| ~ ssList(cons(sk5,nil))
| ~ ssItem(sk5) ),
inference(demodulation,[status(thm)],[c_2876,c_11149]) ).
cnf(c_11152,plain,
( app(cons(sk5,nil),sk1) != sk2
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk2)
| ~ ssItem(sk5) ),
inference(light_normalisation,[status(thm)],[c_11151,c_1753]) ).
cnf(c_11153,plain,
~ ssList(cons(sk5,nil)),
inference(forward_subsumption_resolution,[status(thm)],[c_11152,c_1573,c_6405,c_1753]) ).
cnf(c_11172,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_148,c_11153]) ).
cnf(c_11173,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11172,c_1573,c_70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC416-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 23:17:17 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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
% 7.04/1.63 % SZS status Started for theBenchmark.p
% 7.04/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 7.04/1.63
% 7.04/1.63 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.04/1.63
% 7.04/1.63 ------ iProver source info
% 7.04/1.63
% 7.04/1.63 git: date: 2024-05-02 19:28:25 +0000
% 7.04/1.63 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.04/1.63 git: non_committed_changes: false
% 7.04/1.63
% 7.04/1.63 ------ Parsing...successful
% 7.04/1.63
% 7.04/1.63
% 7.04/1.63
% 7.04/1.63 ------ Preprocessing... sup_sim: 7 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
% 7.04/1.63
% 7.04/1.63 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.04/1.63
% 7.04/1.63 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.04/1.63 ------ Proving...
% 7.04/1.63 ------ Problem Properties
% 7.04/1.63
% 7.04/1.63
% 7.04/1.63 clauses 185
% 7.04/1.63 conjectures 4
% 7.04/1.63 EPR 58
% 7.04/1.63 Horn 157
% 7.04/1.63 unary 65
% 7.04/1.63 binary 21
% 7.04/1.63 lits 552
% 7.04/1.63 lits eq 74
% 7.04/1.63 fd_pure 0
% 7.04/1.63 fd_pseudo 0
% 7.04/1.63 fd_cond 15
% 7.04/1.63 fd_pseudo_cond 14
% 7.04/1.63 AC symbols 0
% 7.04/1.63
% 7.04/1.63 ------ Schedule dynamic 5 is on
% 7.04/1.63
% 7.04/1.63 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.04/1.63
% 7.04/1.63
% 7.04/1.63 ------
% 7.04/1.63 Current options:
% 7.04/1.63 ------
% 7.04/1.63
% 7.04/1.63
% 7.04/1.63
% 7.04/1.63
% 7.04/1.63 ------ Proving...
% 7.04/1.63
% 7.04/1.63
% 7.04/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 7.04/1.63
% 7.04/1.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.04/1.63
% 7.04/1.63
%------------------------------------------------------------------------------