TSTP Solution File: SWC315-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC315-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 03:11:58 EDT 2024
% Result : Unsatisfiable 52.02s 7.69s
% Output : CNFRefutation 52.02s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% 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,
( sk4 != nil
| sk3 = nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(c_56,negated_conjecture,
( sk2 = nil
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(c_57,negated_conjecture,
( sk1 != nil
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(c_58,negated_conjecture,
( sk2 = nil
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(c_59,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk2
| sk2 = nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(c_60,negated_conjecture,
( app(sk6,cons(sk5,nil)) != sk1
| sk2 = nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(c_61,negated_conjecture,
( sk1 != nil
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(c_62,negated_conjecture,
( sk1 != nil
| app(cons(sk5,nil),sk6) = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(c_63,negated_conjecture,
( app(sk6,cons(sk5,nil)) != sk1
| sk1 != nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
cnf(c_64,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
cnf(c_65,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
cnf(c_66,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk7,nil),sk8) = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
cnf(c_67,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk8,cons(sk7,nil)) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
cnf(c_75,plain,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_152,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(c_153,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(c_165,plain,
( cons(X0,X1) != nil
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(c_167,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(c_185,plain,
( app(X0,X1) != nil
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(c_187,plain,
( ~ ssList(X0)
| ~ ssItem(X1)
| app(cons(X1,nil),X0) = cons(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(c_211,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_217,plain,
( app(X0,X1) != app(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause150) ).
cnf(c_243,plain,
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause176) ).
cnf(c_262,plain,
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(unflattening,[status(thm)],[c_211]) ).
cnf(c_688,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_262,c_152]) ).
cnf(c_1597,plain,
( ~ neq(sk2,nil)
| ssList(sk8) ),
inference(light_normalisation,[status(thm)],[c_65,c_53]) ).
cnf(c_1602,plain,
( ~ neq(sk2,nil)
| ssItem(sk7) ),
inference(light_normalisation,[status(thm)],[c_64,c_53]) ).
cnf(c_1681,plain,
( sk2 != nil
| sk1 = nil ),
inference(light_normalisation,[status(thm)],[c_55,c_53,c_54]) ).
cnf(c_1806,plain,
( ~ neq(sk2,nil)
| app(sk8,cons(sk7,nil)) = sk1 ),
inference(light_normalisation,[status(thm)],[c_67,c_53,c_54]) ).
cnf(c_1811,plain,
( ~ neq(sk2,nil)
| app(cons(sk7,nil),sk8) = sk2 ),
inference(light_normalisation,[status(thm)],[c_66,c_53]) ).
cnf(c_3542,plain,
( X0 != nil
| X1 != sk2
| ~ ssList(X0)
| ~ ssList(X1)
| app(cons(sk7,nil),sk8) = sk2
| X0 = X1 ),
inference(resolution_lifted,[status(thm)],[c_167,c_1811]) ).
cnf(c_3543,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| app(cons(sk7,nil),sk8) = sk2
| nil = sk2 ),
inference(unflattening,[status(thm)],[c_3542]) ).
cnf(c_3544,plain,
( app(cons(sk7,nil),sk8) = sk2
| nil = sk2 ),
inference(global_subsumption_just,[status(thm)],[c_3543,c_50,c_75,c_3543]) ).
cnf(c_3552,plain,
( X0 != nil
| X1 != sk2
| ~ ssList(X0)
| ~ ssList(X1)
| app(sk8,cons(sk7,nil)) = sk1
| X0 = X1 ),
inference(resolution_lifted,[status(thm)],[c_167,c_1806]) ).
cnf(c_3553,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| app(sk8,cons(sk7,nil)) = sk1
| nil = sk2 ),
inference(unflattening,[status(thm)],[c_3552]) ).
cnf(c_3554,plain,
( app(sk8,cons(sk7,nil)) = sk1
| nil = sk2 ),
inference(global_subsumption_just,[status(thm)],[c_3553,c_50,c_75,c_3553]) ).
cnf(c_3562,plain,
( X0 != nil
| X1 != sk2
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| ssItem(sk7) ),
inference(resolution_lifted,[status(thm)],[c_167,c_1602]) ).
cnf(c_3563,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| nil = sk2
| ssItem(sk7) ),
inference(unflattening,[status(thm)],[c_3562]) ).
cnf(c_3564,plain,
( nil = sk2
| ssItem(sk7) ),
inference(global_subsumption_just,[status(thm)],[c_3563,c_50,c_75,c_3563]) ).
cnf(c_3572,plain,
( X0 != nil
| X1 != sk2
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| ssList(sk8) ),
inference(resolution_lifted,[status(thm)],[c_167,c_1597]) ).
cnf(c_3573,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| nil = sk2
| ssList(sk8) ),
inference(unflattening,[status(thm)],[c_3572]) ).
cnf(c_3574,plain,
( nil = sk2
| ssList(sk8) ),
inference(global_subsumption_just,[status(thm)],[c_3573,c_50,c_75,c_3573]) ).
cnf(c_3590,negated_conjecture,
app(sk6,cons(sk5,nil)) != sk1,
inference(global_subsumption_just,[status(thm)],[c_63,c_60,c_63,c_1681]) ).
cnf(c_3592,negated_conjecture,
app(cons(sk5,nil),sk6) = sk2,
inference(global_subsumption_just,[status(thm)],[c_62,c_59,c_62,c_1681]) ).
cnf(c_3594,negated_conjecture,
ssList(sk6),
inference(global_subsumption_just,[status(thm)],[c_61,c_58,c_61,c_1681]) ).
cnf(c_3596,negated_conjecture,
app(sk6,cons(sk5,nil)) != sk1,
inference(global_subsumption_just,[status(thm)],[c_60,c_3590]) ).
cnf(c_3598,negated_conjecture,
app(cons(sk5,nil),sk6) = sk2,
inference(global_subsumption_just,[status(thm)],[c_59,c_3592]) ).
cnf(c_3600,negated_conjecture,
ssList(sk6),
inference(global_subsumption_just,[status(thm)],[c_58,c_3594]) ).
cnf(c_3602,negated_conjecture,
ssItem(sk5),
inference(global_subsumption_just,[status(thm)],[c_57,c_56,c_57,c_1681]) ).
cnf(c_3604,negated_conjecture,
ssItem(sk5),
inference(global_subsumption_just,[status(thm)],[c_56,c_3602]) ).
cnf(c_9485,plain,
cons(sk5,nil) = sP2_iProver_def,
definition ).
cnf(c_9486,plain,
app(sP2_iProver_def,sk6) = sP3_iProver_def,
definition ).
cnf(c_9487,plain,
app(sk6,sP2_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_9488,negated_conjecture,
ssItem(sk5),
inference(demodulation,[status(thm)],[c_3604]) ).
cnf(c_9489,negated_conjecture,
ssList(sk6),
inference(demodulation,[status(thm)],[c_3600]) ).
cnf(c_9490,negated_conjecture,
sP3_iProver_def = sk2,
inference(demodulation,[status(thm)],[c_3598,c_9485,c_9486]) ).
cnf(c_9491,negated_conjecture,
sP4_iProver_def != sk1,
inference(demodulation,[status(thm)],[c_3596,c_9487]) ).
cnf(c_12049,plain,
( nil = sP3_iProver_def
| ssItem(sk7) ),
inference(light_normalisation,[status(thm)],[c_3564,c_9490]) ).
cnf(c_12054,plain,
( nil = sP3_iProver_def
| ssList(sk8) ),
inference(light_normalisation,[status(thm)],[c_3574,c_9490]) ).
cnf(c_12059,plain,
( app(cons(sk7,nil),sk8) = sP3_iProver_def
| nil = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3544,c_9490]) ).
cnf(c_12064,plain,
( app(sk8,cons(sk7,nil)) = sk1
| nil = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3554,c_9490]) ).
cnf(c_12546,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ssList(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_9485,c_153]) ).
cnf(c_12550,plain,
ssList(sP2_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_12546,c_9488,c_75]) ).
cnf(c_13398,plain,
( nil != sP2_iProver_def
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_9485,c_165]) ).
cnf(c_13399,plain,
nil != sP2_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_13398,c_9488,c_75]) ).
cnf(c_14245,plain,
( ~ ssItem(X0)
| app(cons(X0,nil),sk6) = cons(X0,sk6) ),
inference(superposition,[status(thm)],[c_9489,c_187]) ).
cnf(c_14611,plain,
app(cons(sk5,nil),sk6) = cons(sk5,sk6),
inference(superposition,[status(thm)],[c_9488,c_14245]) ).
cnf(c_14632,plain,
cons(sk5,sk6) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_14611,c_9485,c_9486]) ).
cnf(c_14678,plain,
( nil != sP3_iProver_def
| ~ ssList(sk6)
| ~ ssList(sP2_iProver_def)
| nil = sP2_iProver_def ),
inference(superposition,[status(thm)],[c_9486,c_185]) ).
cnf(c_14714,plain,
nil != sP3_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_14678,c_13399,c_12550,c_9489]) ).
cnf(c_14723,plain,
app(sk8,cons(sk7,nil)) = sk1,
inference(backward_subsumption_resolution,[status(thm)],[c_12064,c_14714]) ).
cnf(c_14724,plain,
app(cons(sk7,nil),sk8) = sP3_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_12059,c_14714]) ).
cnf(c_14725,plain,
ssList(sk8),
inference(backward_subsumption_resolution,[status(thm)],[c_12054,c_14714]) ).
cnf(c_14726,plain,
ssItem(sk7),
inference(backward_subsumption_resolution,[status(thm)],[c_12049,c_14714]) ).
cnf(c_19480,plain,
( app(sP2_iProver_def,X0) != sP3_iProver_def
| ~ ssList(X0)
| ~ ssList(sk6)
| ~ ssList(sP2_iProver_def)
| X0 = sk6 ),
inference(superposition,[status(thm)],[c_9486,c_217]) ).
cnf(c_19577,plain,
( app(sP2_iProver_def,X0) != sP3_iProver_def
| ~ ssList(X0)
| X0 = sk6 ),
inference(forward_subsumption_resolution,[status(thm)],[c_19480,c_12550,c_9489]) ).
cnf(c_24543,plain,
( ~ frontsegP(sP3_iProver_def,cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| X0 = sk5 ),
inference(superposition,[status(thm)],[c_14632,c_243]) ).
cnf(c_24564,plain,
( ~ frontsegP(sP3_iProver_def,cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0)
| X0 = sk5 ),
inference(forward_subsumption_resolution,[status(thm)],[c_24543,c_9488,c_9489]) ).
cnf(c_38737,plain,
( ~ ssList(cons(sk7,nil))
| ~ ssList(sk8)
| frontsegP(sP3_iProver_def,cons(sk7,nil)) ),
inference(superposition,[status(thm)],[c_14724,c_688]) ).
cnf(c_38749,plain,
( ~ ssList(cons(sk7,nil))
| frontsegP(sP3_iProver_def,cons(sk7,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38737,c_14725]) ).
cnf(c_107106,plain,
( ~ ssList(cons(sk7,nil))
| ~ ssList(nil)
| ~ ssItem(sk7)
| sk5 = sk7 ),
inference(superposition,[status(thm)],[c_38749,c_24564]) ).
cnf(c_107108,plain,
( ~ ssList(cons(sk7,nil))
| sk5 = sk7 ),
inference(forward_subsumption_resolution,[status(thm)],[c_107106,c_14726,c_75]) ).
cnf(c_134613,plain,
( ~ ssList(nil)
| ~ ssItem(sk7)
| sk5 = sk7 ),
inference(superposition,[status(thm)],[c_153,c_107108]) ).
cnf(c_134614,plain,
sk5 = sk7,
inference(forward_subsumption_resolution,[status(thm)],[c_134613,c_14726,c_75]) ).
cnf(c_134679,plain,
app(cons(sk5,nil),sk8) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_14724,c_134614]) ).
cnf(c_134681,plain,
app(sk8,cons(sk5,nil)) = sk1,
inference(demodulation,[status(thm)],[c_14723,c_134614]) ).
cnf(c_134687,plain,
app(sk8,sP2_iProver_def) = sk1,
inference(light_normalisation,[status(thm)],[c_134681,c_9485]) ).
cnf(c_134688,plain,
app(sP2_iProver_def,sk8) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_134679,c_9485]) ).
cnf(c_135730,plain,
( ~ ssList(sk8)
| sk6 = sk8 ),
inference(superposition,[status(thm)],[c_134688,c_19577]) ).
cnf(c_135731,plain,
sk6 = sk8,
inference(forward_subsumption_resolution,[status(thm)],[c_135730,c_14725]) ).
cnf(c_135758,plain,
app(sk6,sP2_iProver_def) = sk1,
inference(demodulation,[status(thm)],[c_134687,c_135731]) ).
cnf(c_135891,plain,
sk1 = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_135758,c_9487]) ).
cnf(c_136379,plain,
sP4_iProver_def != sP4_iProver_def,
inference(demodulation,[status(thm)],[c_9491,c_135891]) ).
cnf(c_136382,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_136379]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWC315-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n015.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 23:51:21 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 52.02/7.69 % SZS status Started for theBenchmark.p
% 52.02/7.69 % SZS status Unsatisfiable for theBenchmark.p
% 52.02/7.69
% 52.02/7.69 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 52.02/7.69
% 52.02/7.69 ------ iProver source info
% 52.02/7.69
% 52.02/7.69 git: date: 2024-05-02 19:28:25 +0000
% 52.02/7.69 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 52.02/7.69 git: non_committed_changes: false
% 52.02/7.69
% 52.02/7.69 ------ Parsing...successful
% 52.02/7.69
% 52.02/7.69
% 52.02/7.69
% 52.02/7.69 ------ 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 sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 52.02/7.69
% 52.02/7.69 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 52.02/7.69
% 52.02/7.69 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 52.02/7.69 ------ Proving...
% 52.02/7.69 ------ Problem Properties
% 52.02/7.69
% 52.02/7.69
% 52.02/7.69 clauses 193
% 52.02/7.69 conjectures 8
% 52.02/7.69 EPR 63
% 52.02/7.69 Horn 161
% 52.02/7.69 unary 69
% 52.02/7.69 binary 26
% 52.02/7.69 lits 562
% 52.02/7.69 lits eq 84
% 52.02/7.69 fd_pure 0
% 52.02/7.69 fd_pseudo 0
% 52.02/7.69 fd_cond 15
% 52.02/7.69 fd_pseudo_cond 14
% 52.02/7.69 AC symbols 0
% 52.02/7.69
% 52.02/7.69 ------ Schedule dynamic 5 is on
% 52.02/7.69
% 52.02/7.69 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 52.02/7.69
% 52.02/7.69
% 52.02/7.69 ------
% 52.02/7.69 Current options:
% 52.02/7.69 ------
% 52.02/7.69
% 52.02/7.69
% 52.02/7.69
% 52.02/7.69
% 52.02/7.69 ------ Proving...
% 52.02/7.69
% 52.02/7.69
% 52.02/7.69 % SZS status Unsatisfiable for theBenchmark.p
% 52.02/7.69
% 52.02/7.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 52.02/7.69
% 52.02/7.70
%------------------------------------------------------------------------------