TSTP Solution File: SWC324-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC324-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 : Mon Jun 24 16:24:34 EDT 2024
% Result : Unsatisfiable 39.87s 6.26s
% Output : CNFRefutation 39.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of clauses : 66 ( 24 unt; 8 nHn; 56 RR)
% Number of literals : 168 ( 61 equ; 101 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 59 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_52,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
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,
( app(X0,X1) != sk2
| app(X1,X0) != sk1
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(c_56,negated_conjecture,
( app(cons(X0,nil),X1) != sk4
| ~ ssList(X1)
| ~ ssItem(X0)
| app(X1,cons(X0,nil)) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(c_57,negated_conjecture,
( sk4 != nil
| sk3 = nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(c_65,plain,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_69,plain,
ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(c_70,plain,
ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(c_108,plain,
ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
cnf(c_131,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_134,plain,
( ~ ssList(X0)
| X0 = nil
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).
cnf(c_135,plain,
( ~ ssList(X0)
| X0 = nil
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause78) ).
cnf(c_142,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_143,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_153,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(c_154,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(c_161,plain,
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(c_166,plain,
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| X0 = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(c_189,plain,
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).
cnf(c_201,plain,
( app(X0,X1) != X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).
cnf(c_202,plain,
( X0 != nil
| X1 != nil
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause145) ).
cnf(c_235,plain,
( X0 != X1
| ~ frontsegP(X2,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X1)
| frontsegP(cons(X0,X2),cons(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause178) ).
cnf(c_252,plain,
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(unflattening,[status(thm)],[c_201]) ).
cnf(c_255,plain,
( ~ ssList(nil)
| app(nil,nil) = nil ),
inference(unflattening,[status(thm)],[c_202]) ).
cnf(c_258,plain,
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| frontsegP(cons(X2,X0),cons(X2,X1)) ),
inference(unflattening,[status(thm)],[c_235]) ).
cnf(c_322,plain,
( ~ ssList(nil)
| app(nil,nil) = nil ),
inference(instantiation,[status(thm)],[c_131]) ).
cnf(c_389,plain,
app(nil,nil) = nil,
inference(global_subsumption_just,[status(thm)],[c_255,c_65,c_322]) ).
cnf(c_631,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_252,c_142]) ).
cnf(c_2169,plain,
( app(X0,X1) != sk4
| app(X1,X0) != sk3
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(light_normalisation,[status(thm)],[c_55,c_53,c_54]) ).
cnf(c_6348,negated_conjecture,
( app(cons(X0,nil),X1) != sk4
| ~ ssList(X1)
| ~ ssItem(X0)
| app(X1,cons(X0,nil)) = sk3 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_6351,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_8891,plain,
( app(nil,nil) != sk3
| sk4 != nil
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_389,c_2169]) ).
cnf(c_8892,plain,
( sk3 != nil
| sk4 != nil
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_8891,c_389]) ).
cnf(c_8896,plain,
sk4 != nil,
inference(global_subsumption_just,[status(thm)],[c_8892,c_65,c_57,c_8892]) ).
cnf(c_9186,plain,
app(nil,skaf82(X0)) = skaf82(X0),
inference(superposition,[status(thm)],[c_70,c_131]) ).
cnf(c_9779,plain,
( ~ ssItem(X0)
| tl(cons(X0,skaf82(X1))) = skaf82(X1) ),
inference(superposition,[status(thm)],[c_70,c_153]) ).
cnf(c_9932,plain,
( ~ ssItem(X0)
| hd(cons(X0,skaf82(X1))) = X0 ),
inference(superposition,[status(thm)],[c_70,c_154]) ).
cnf(c_10296,plain,
( ~ ssList(sk4)
| sk4 = nil
| ssList(tl(sk4)) ),
inference(instantiation,[status(thm)],[c_134]) ).
cnf(c_10297,plain,
( ~ ssList(sk4)
| sk4 = nil
| ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_135]) ).
cnf(c_10561,plain,
( cons(hd(sk4),tl(sk4)) = sk4
| sk4 = nil ),
inference(superposition,[status(thm)],[c_6351,c_161]) ).
cnf(c_10593,plain,
cons(hd(sk4),tl(sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_10561,c_8896]) ).
cnf(c_10716,plain,
( cons(skaf83(sk4),skaf82(sk4)) = sk4
| sk4 = nil ),
inference(superposition,[status(thm)],[c_6351,c_166]) ).
cnf(c_10748,plain,
cons(skaf83(sk4),skaf82(sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_10716,c_8896]) ).
cnf(c_11768,plain,
( ~ frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(sk4)
| app(X0,skaf45(sk4,X0)) = sk4 ),
inference(instantiation,[status(thm)],[c_189]) ).
cnf(c_11769,plain,
( app(skaf45(sk4,X0),X0) != sk3
| app(X0,skaf45(sk4,X0)) != sk4
| ~ ssList(skaf45(sk4,X0))
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_2169]) ).
cnf(c_14696,plain,
( app(cons(hd(sk4),nil),X0) != sk4
| ~ ssItem(hd(sk4))
| ~ ssList(X0)
| app(X0,cons(hd(sk4),nil)) = sk3 ),
inference(instantiation,[status(thm)],[c_6348]) ).
cnf(c_18943,plain,
( ~ ssList(skaf82(X0))
| ~ ssList(nil)
| frontsegP(skaf82(X0),nil) ),
inference(superposition,[status(thm)],[c_9186,c_631]) ).
cnf(c_18954,plain,
frontsegP(skaf82(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_18943,c_65,c_70]) ).
cnf(c_19154,plain,
ssList(skaf45(sk4,X0)),
inference(instantiation,[status(thm)],[c_108]) ).
cnf(c_28325,plain,
( app(cons(hd(sk4),nil),skaf45(sk4,cons(hd(sk4),nil))) != sk4
| ~ ssList(skaf45(sk4,cons(hd(sk4),nil)))
| ~ ssItem(hd(sk4))
| app(skaf45(sk4,cons(hd(sk4),nil)),cons(hd(sk4),nil)) = sk3 ),
inference(instantiation,[status(thm)],[c_14696]) ).
cnf(c_28326,plain,
( ~ frontsegP(sk4,cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(sk4)
| app(cons(hd(sk4),nil),skaf45(sk4,cons(hd(sk4),nil))) = sk4 ),
inference(instantiation,[status(thm)],[c_11768]) ).
cnf(c_28432,plain,
( ~ frontsegP(tl(sk4),X0)
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| ~ ssList(X0)
| frontsegP(sk4,cons(hd(sk4),X0)) ),
inference(superposition,[status(thm)],[c_10593,c_258]) ).
cnf(c_28646,plain,
( ~ frontsegP(tl(sk4),nil)
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| ~ ssList(nil)
| frontsegP(sk4,cons(hd(sk4),nil)) ),
inference(instantiation,[status(thm)],[c_28432]) ).
cnf(c_50184,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(X0)
| ssList(cons(hd(sk4),X0)) ),
inference(instantiation,[status(thm)],[c_143]) ).
cnf(c_50185,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(nil)
| ssList(cons(hd(sk4),nil)) ),
inference(instantiation,[status(thm)],[c_50184]) ).
cnf(c_50836,plain,
hd(cons(skaf83(X0),skaf82(X1))) = skaf83(X0),
inference(superposition,[status(thm)],[c_69,c_9932]) ).
cnf(c_50910,plain,
skaf83(sk4) = hd(sk4),
inference(superposition,[status(thm)],[c_10748,c_50836]) ).
cnf(c_50930,plain,
cons(hd(sk4),skaf82(sk4)) = sk4,
inference(demodulation,[status(thm)],[c_10748,c_50910]) ).
cnf(c_50992,plain,
ssItem(hd(sk4)),
inference(superposition,[status(thm)],[c_50910,c_69]) ).
cnf(c_74139,plain,
ssList(skaf45(sk4,cons(hd(sk4),nil))),
inference(instantiation,[status(thm)],[c_19154]) ).
cnf(c_142859,plain,
tl(cons(hd(sk4),skaf82(X0))) = skaf82(X0),
inference(superposition,[status(thm)],[c_50992,c_9779]) ).
cnf(c_145912,plain,
skaf82(sk4) = tl(sk4),
inference(superposition,[status(thm)],[c_50930,c_142859]) ).
cnf(c_145966,plain,
frontsegP(tl(sk4),nil),
inference(superposition,[status(thm)],[c_145912,c_18954]) ).
cnf(c_156459,plain,
( app(skaf45(sk4,cons(hd(sk4),nil)),cons(hd(sk4),nil)) != sk3
| app(cons(hd(sk4),nil),skaf45(sk4,cons(hd(sk4),nil))) != sk4
| ~ ssList(skaf45(sk4,cons(hd(sk4),nil)))
| ~ ssList(cons(hd(sk4),nil)) ),
inference(instantiation,[status(thm)],[c_11769]) ).
cnf(c_156460,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_156459,c_145966,c_74139,c_50185,c_28646,c_28326,c_28325,c_10297,c_10296,c_8896,c_65,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC324-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 03:27:39 EDT 2024
% 0.12/0.34 % 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
% 39.87/6.26 % SZS status Started for theBenchmark.p
% 39.87/6.26 % SZS status Unsatisfiable for theBenchmark.p
% 39.87/6.26
% 39.87/6.26 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 39.87/6.26
% 39.87/6.26 ------ iProver source info
% 39.87/6.26
% 39.87/6.26 git: date: 2024-06-12 09:56:46 +0000
% 39.87/6.26 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 39.87/6.26 git: non_committed_changes: false
% 39.87/6.26
% 39.87/6.26 ------ Parsing...successful
% 39.87/6.26
% 39.87/6.26
% 39.87/6.26
% 39.87/6.26 ------ Preprocessing... sup_sim: 5 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 39.87/6.26
% 39.87/6.26 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 39.87/6.26
% 39.87/6.26 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 39.87/6.26 ------ Proving...
% 39.87/6.26 ------ Problem Properties
% 39.87/6.26
% 39.87/6.26
% 39.87/6.26 clauses 184
% 39.87/6.26 conjectures 6
% 39.87/6.26 EPR 57
% 39.87/6.26 Horn 156
% 39.87/6.26 unary 62
% 39.87/6.26 binary 22
% 39.87/6.26 lits 555
% 39.87/6.26 lits eq 77
% 39.87/6.26 fd_pure 0
% 39.87/6.26 fd_pseudo 0
% 39.87/6.26 fd_cond 15
% 39.87/6.26 fd_pseudo_cond 14
% 39.87/6.26 AC symbols 0
% 39.87/6.26
% 39.87/6.26 ------ Schedule dynamic 5 is on
% 39.87/6.26
% 39.87/6.26 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 39.87/6.26
% 39.87/6.26
% 39.87/6.26 ------
% 39.87/6.26 Current options:
% 39.87/6.26 ------
% 39.87/6.26
% 39.87/6.26
% 39.87/6.26
% 39.87/6.26
% 39.87/6.26 ------ Proving...
% 39.87/6.26
% 39.87/6.26
% 39.87/6.26 % SZS status Unsatisfiable for theBenchmark.p
% 39.87/6.26
% 39.87/6.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.87/6.26
% 39.87/6.27
%------------------------------------------------------------------------------