TSTP Solution File: SWC324-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC324-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 03:12:00 EDT 2024
% Result : Unsatisfiable 61.06s 9.15s
% Output : CNFRefutation 61.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of clauses : 65 ( 24 unt; 8 nHn; 55 RR)
% Number of literals : 165 ( 61 equ; 99 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 : 58 ( 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_6344,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_6347,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_8887,plain,
( app(nil,nil) != sk3
| sk4 != nil
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_389,c_2169]) ).
cnf(c_8888,plain,
( sk3 != nil
| sk4 != nil
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_8887,c_389]) ).
cnf(c_8892,plain,
sk4 != nil,
inference(global_subsumption_just,[status(thm)],[c_8888,c_65,c_57,c_8888]) ).
cnf(c_9182,plain,
app(nil,skaf82(X0)) = skaf82(X0),
inference(superposition,[status(thm)],[c_70,c_131]) ).
cnf(c_9773,plain,
( ~ ssItem(X0)
| tl(cons(X0,skaf82(X1))) = skaf82(X1) ),
inference(superposition,[status(thm)],[c_70,c_153]) ).
cnf(c_9926,plain,
( ~ ssItem(X0)
| hd(cons(X0,skaf82(X1))) = X0 ),
inference(superposition,[status(thm)],[c_70,c_154]) ).
cnf(c_10290,plain,
( ~ ssList(sk4)
| sk4 = nil
| ssList(tl(sk4)) ),
inference(instantiation,[status(thm)],[c_134]) ).
cnf(c_10291,plain,
( ~ ssList(sk4)
| sk4 = nil
| ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_135]) ).
cnf(c_10555,plain,
( cons(hd(sk4),tl(sk4)) = sk4
| sk4 = nil ),
inference(superposition,[status(thm)],[c_6347,c_161]) ).
cnf(c_10587,plain,
cons(hd(sk4),tl(sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_10555,c_8892]) ).
cnf(c_10710,plain,
( cons(skaf83(sk4),skaf82(sk4)) = sk4
| sk4 = nil ),
inference(superposition,[status(thm)],[c_6347,c_166]) ).
cnf(c_10742,plain,
cons(skaf83(sk4),skaf82(sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_10710,c_8892]) ).
cnf(c_11762,plain,
( ~ frontsegP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(sk4)
| app(X0,skaf45(sk4,X0)) = sk4 ),
inference(instantiation,[status(thm)],[c_189]) ).
cnf(c_11763,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_14665,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_6344]) ).
cnf(c_19056,plain,
( ~ ssList(skaf82(X0))
| ~ ssList(nil)
| frontsegP(skaf82(X0),nil) ),
inference(superposition,[status(thm)],[c_9182,c_631]) ).
cnf(c_19067,plain,
frontsegP(skaf82(X0),nil),
inference(forward_subsumption_resolution,[status(thm)],[c_19056,c_65,c_70]) ).
cnf(c_19270,plain,
ssList(skaf45(sk4,X0)),
inference(instantiation,[status(thm)],[c_108]) ).
cnf(c_28517,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_14665]) ).
cnf(c_28518,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_11762]) ).
cnf(c_28657,plain,
( ~ frontsegP(tl(sk4),X0)
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| ~ ssList(X0)
| frontsegP(sk4,cons(hd(sk4),X0)) ),
inference(superposition,[status(thm)],[c_10587,c_258]) ).
cnf(c_28871,plain,
( ~ frontsegP(tl(sk4),nil)
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| ~ ssList(nil)
| frontsegP(sk4,cons(hd(sk4),nil)) ),
inference(instantiation,[status(thm)],[c_28657]) ).
cnf(c_47126,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(nil)
| ssList(cons(hd(sk4),nil)) ),
inference(instantiation,[status(thm)],[c_143]) ).
cnf(c_51290,plain,
hd(cons(skaf83(X0),skaf82(X1))) = skaf83(X0),
inference(superposition,[status(thm)],[c_69,c_9926]) ).
cnf(c_51364,plain,
skaf83(sk4) = hd(sk4),
inference(superposition,[status(thm)],[c_10742,c_51290]) ).
cnf(c_51384,plain,
cons(hd(sk4),skaf82(sk4)) = sk4,
inference(demodulation,[status(thm)],[c_10742,c_51364]) ).
cnf(c_51418,plain,
ssItem(hd(sk4)),
inference(superposition,[status(thm)],[c_51364,c_69]) ).
cnf(c_74615,plain,
ssList(skaf45(sk4,cons(hd(sk4),nil))),
inference(instantiation,[status(thm)],[c_19270]) ).
cnf(c_149619,plain,
tl(cons(hd(sk4),skaf82(X0))) = skaf82(X0),
inference(superposition,[status(thm)],[c_51418,c_9773]) ).
cnf(c_151690,plain,
skaf82(sk4) = tl(sk4),
inference(superposition,[status(thm)],[c_51384,c_149619]) ).
cnf(c_151753,plain,
frontsegP(tl(sk4),nil),
inference(superposition,[status(thm)],[c_151690,c_19067]) ).
cnf(c_155153,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_11763]) ).
cnf(c_155154,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_155153,c_151753,c_74615,c_47126,c_28871,c_28518,c_28517,c_10291,c_10290,c_8892,c_65,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWC324-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10 % Command : run_iprover %s %d THM
% 0.10/0.30 % Computer : n028.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Thu May 2 23:47:48 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 61.06/9.15 % SZS status Started for theBenchmark.p
% 61.06/9.15 % SZS status Unsatisfiable for theBenchmark.p
% 61.06/9.15
% 61.06/9.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 61.06/9.15
% 61.06/9.15 ------ iProver source info
% 61.06/9.15
% 61.06/9.15 git: date: 2024-05-02 19:28:25 +0000
% 61.06/9.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 61.06/9.15 git: non_committed_changes: false
% 61.06/9.15
% 61.06/9.15 ------ Parsing...successful
% 61.06/9.15
% 61.06/9.15
% 61.06/9.15
% 61.06/9.15 ------ 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
% 61.06/9.15
% 61.06/9.15 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 61.06/9.15
% 61.06/9.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 61.06/9.15 ------ Proving...
% 61.06/9.15 ------ Problem Properties
% 61.06/9.15
% 61.06/9.15
% 61.06/9.15 clauses 184
% 61.06/9.15 conjectures 6
% 61.06/9.15 EPR 57
% 61.06/9.15 Horn 156
% 61.06/9.15 unary 62
% 61.06/9.15 binary 22
% 61.06/9.15 lits 555
% 61.06/9.15 lits eq 77
% 61.06/9.15 fd_pure 0
% 61.06/9.15 fd_pseudo 0
% 61.06/9.15 fd_cond 15
% 61.06/9.15 fd_pseudo_cond 14
% 61.06/9.15 AC symbols 0
% 61.06/9.15
% 61.06/9.15 ------ Schedule dynamic 5 is on
% 61.06/9.15
% 61.06/9.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 61.06/9.15
% 61.06/9.15
% 61.06/9.15 ------
% 61.06/9.15 Current options:
% 61.06/9.15 ------
% 61.06/9.15
% 61.06/9.15
% 61.06/9.15
% 61.06/9.15
% 61.06/9.15 ------ Proving...
% 61.06/9.15
% 61.06/9.15
% 61.06/9.15 % SZS status Unsatisfiable for theBenchmark.p
% 61.06/9.15
% 61.06/9.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 61.06/9.15
% 61.06/9.16
%------------------------------------------------------------------------------