TSTP Solution File: SWC075-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC075-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 03:11:07 EDT 2024
% Result : Unsatisfiable 4.09s 1.17s
% Output : CNFRefutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of clauses : 73 ( 34 unt; 1 nHn; 73 RR)
% Number of literals : 177 ( 43 equ; 107 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 32 ( 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(X0,nil)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(c_56,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(c_57,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(c_58,negated_conjecture,
app(sk5,sk6) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(c_59,negated_conjecture,
app(sk6,sk5) = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(c_60,negated_conjecture,
( sk1 != nil
| sk2 != nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(c_68,plain,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(c_133,plain,
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
cnf(c_134,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_160,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(c_205,plain,
( X0 != nil
| X1 != nil
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause145) ).
cnf(c_233,plain,
( app(app(X0,X1),X2) != X3
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).
cnf(c_258,plain,
( ~ ssList(nil)
| app(nil,nil) = nil ),
inference(unflattening,[status(thm)],[c_205]) ).
cnf(c_260,plain,
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(unflattening,[status(thm)],[c_233]) ).
cnf(c_325,plain,
( ~ ssList(nil)
| app(nil,nil) = nil ),
inference(instantiation,[status(thm)],[c_134]) ).
cnf(c_391,plain,
app(nil,nil) = nil,
inference(global_subsumption_just,[status(thm)],[c_258,c_68,c_325]) ).
cnf(c_1559,plain,
app(sk6,sk5) = sk1,
inference(light_normalisation,[status(thm)],[c_59,c_54]) ).
cnf(c_1560,plain,
app(sk5,sk6) = sk2,
inference(light_normalisation,[status(thm)],[c_58,c_53]) ).
cnf(c_2706,plain,
( X0 != X1
| X2 != nil
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| X1 = X2 ),
inference(resolution_lifted,[status(thm)],[c_55,c_160]) ).
cnf(c_2707,plain,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| X0 = nil ),
inference(unflattening,[status(thm)],[c_2706]) ).
cnf(c_2709,plain,
( ~ ssList(X0)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| X0 = nil ),
inference(global_subsumption_just,[status(thm)],[c_2707,c_68,c_2707]) ).
cnf(c_2710,plain,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0)
| X0 = nil ),
inference(renaming,[status(thm)],[c_2709]) ).
cnf(c_6372,negated_conjecture,
( sk1 != nil
| sk2 != nil ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_6373,negated_conjecture,
ssList(sk6),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_6374,negated_conjecture,
ssList(sk5),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_6377,negated_conjecture,
ssList(sk2),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_6378,negated_conjecture,
ssList(sk1),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_8923,plain,
( ~ ssList(app(app(sk5,sk6),X0))
| ~ ssList(X0)
| ~ ssList(sk5)
| ~ ssList(sk6)
| segmentP(app(sk2,X0),sk6) ),
inference(superposition,[status(thm)],[c_1560,c_260]) ).
cnf(c_8924,plain,
( ~ ssList(app(app(sk6,sk5),X0))
| ~ ssList(X0)
| ~ ssList(sk5)
| ~ ssList(sk6)
| segmentP(app(sk1,X0),sk5) ),
inference(superposition,[status(thm)],[c_1559,c_260]) ).
cnf(c_8931,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| ~ ssList(sk5)
| ~ ssList(sk6)
| segmentP(app(sk1,X0),sk5) ),
inference(light_normalisation,[status(thm)],[c_8924,c_1559]) ).
cnf(c_8932,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| segmentP(app(sk1,X0),sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8931,c_6373,c_6374]) ).
cnf(c_8936,plain,
( ~ ssList(app(sk2,X0))
| ~ ssList(X0)
| ~ ssList(sk5)
| ~ ssList(sk6)
| segmentP(app(sk2,X0),sk6) ),
inference(light_normalisation,[status(thm)],[c_8923,c_1560]) ).
cnf(c_8937,plain,
( ~ ssList(app(sk2,X0))
| ~ ssList(X0)
| segmentP(app(sk2,X0),sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8936,c_6373,c_6374]) ).
cnf(c_9175,plain,
app(sk1,nil) = sk1,
inference(superposition,[status(thm)],[c_6378,c_133]) ).
cnf(c_9176,plain,
app(sk2,nil) = sk2,
inference(superposition,[status(thm)],[c_6377,c_133]) ).
cnf(c_9178,plain,
app(sk6,nil) = sk6,
inference(superposition,[status(thm)],[c_6373,c_133]) ).
cnf(c_9238,plain,
app(nil,sk1) = sk1,
inference(superposition,[status(thm)],[c_6378,c_134]) ).
cnf(c_9240,plain,
app(nil,sk5) = sk5,
inference(superposition,[status(thm)],[c_6374,c_134]) ).
cnf(c_9365,plain,
( ~ ssList(app(sk1,nil))
| ~ ssList(nil)
| segmentP(sk1,sk5) ),
inference(superposition,[status(thm)],[c_9175,c_8932]) ).
cnf(c_9366,plain,
( ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(sk1,sk5) ),
inference(light_normalisation,[status(thm)],[c_9365,c_9175]) ).
cnf(c_9367,plain,
segmentP(sk1,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_9366,c_68,c_6378]) ).
cnf(c_9376,plain,
( ~ ssList(app(sk2,nil))
| ~ ssList(nil)
| segmentP(sk2,sk6) ),
inference(superposition,[status(thm)],[c_9176,c_8937]) ).
cnf(c_9377,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| segmentP(sk2,sk6) ),
inference(light_normalisation,[status(thm)],[c_9376,c_9176]) ).
cnf(c_9378,plain,
segmentP(sk2,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_9377,c_68,c_6377]) ).
cnf(c_9385,plain,
( ~ segmentP(sk1,sk6)
| ~ ssList(sk6)
| nil = sk6 ),
inference(superposition,[status(thm)],[c_9378,c_2710]) ).
cnf(c_9386,plain,
( ~ segmentP(sk1,sk6)
| nil = sk6 ),
inference(forward_subsumption_resolution,[status(thm)],[c_9385,c_6373]) ).
cnf(c_9406,plain,
( ~ ssList(app(app(nil,sk1),X0))
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(app(sk1,X0),sk1) ),
inference(superposition,[status(thm)],[c_9238,c_260]) ).
cnf(c_9407,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(app(sk1,X0),sk1) ),
inference(light_normalisation,[status(thm)],[c_9406,c_9238]) ).
cnf(c_9408,plain,
( ~ ssList(app(sk1,X0))
| ~ ssList(X0)
| segmentP(app(sk1,X0),sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9407,c_68,c_6378]) ).
cnf(c_9487,plain,
( ~ ssList(app(app(nil,sk5),X0))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sk5)
| segmentP(app(sk5,X0),sk5) ),
inference(superposition,[status(thm)],[c_9240,c_260]) ).
cnf(c_9488,plain,
( ~ ssList(app(sk5,X0))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sk5)
| segmentP(app(sk5,X0),sk5) ),
inference(light_normalisation,[status(thm)],[c_9487,c_9240]) ).
cnf(c_9489,plain,
( ~ ssList(app(sk5,X0))
| ~ ssList(X0)
| segmentP(app(sk5,X0),sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9488,c_6374,c_68]) ).
cnf(c_9512,plain,
( ~ ssList(app(sk1,nil))
| ~ ssList(nil)
| segmentP(sk1,sk1) ),
inference(superposition,[status(thm)],[c_9175,c_9408]) ).
cnf(c_9513,plain,
( ~ ssList(sk1)
| ~ ssList(nil)
| segmentP(sk1,sk1) ),
inference(light_normalisation,[status(thm)],[c_9512,c_9175]) ).
cnf(c_9514,plain,
segmentP(sk1,sk1),
inference(forward_subsumption_resolution,[status(thm)],[c_9513,c_68,c_6378]) ).
cnf(c_9582,plain,
( ~ ssList(app(sk5,sk6))
| ~ ssList(sk6)
| segmentP(sk2,sk5) ),
inference(superposition,[status(thm)],[c_1560,c_9489]) ).
cnf(c_9586,plain,
( ~ ssList(sk2)
| ~ ssList(sk6)
| segmentP(sk2,sk5) ),
inference(light_normalisation,[status(thm)],[c_9582,c_1560]) ).
cnf(c_9587,plain,
segmentP(sk2,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_9586,c_6373,c_6377]) ).
cnf(c_9588,plain,
( ~ segmentP(sk1,sk5)
| ~ ssList(sk5)
| nil = sk5 ),
inference(superposition,[status(thm)],[c_9587,c_2710]) ).
cnf(c_9589,plain,
nil = sk5,
inference(forward_subsumption_resolution,[status(thm)],[c_9588,c_6374,c_9367]) ).
cnf(c_9598,plain,
app(nil,sk6) = sk2,
inference(demodulation,[status(thm)],[c_1560,c_9589]) ).
cnf(c_9599,plain,
app(sk6,nil) = sk1,
inference(demodulation,[status(thm)],[c_1559,c_9589]) ).
cnf(c_9601,plain,
sk1 = sk6,
inference(light_normalisation,[status(thm)],[c_9599,c_9178]) ).
cnf(c_9602,plain,
( ~ segmentP(sk1,sk1)
| sk1 = nil ),
inference(demodulation,[status(thm)],[c_9386,c_9601]) ).
cnf(c_9612,plain,
sk1 = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_9602,c_9514]) ).
cnf(c_9613,plain,
sk2 != nil,
inference(backward_subsumption_resolution,[status(thm)],[c_6372,c_9612]) ).
cnf(c_9659,plain,
nil = sk6,
inference(light_normalisation,[status(thm)],[c_9601,c_9612]) ).
cnf(c_9661,plain,
sk2 = nil,
inference(light_normalisation,[status(thm)],[c_9598,c_391,c_9659]) ).
cnf(c_9662,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9661,c_9613]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC075-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 23:18:25 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 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
% 4.09/1.17 % SZS status Started for theBenchmark.p
% 4.09/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 4.09/1.17
% 4.09/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.09/1.17
% 4.09/1.17 ------ iProver source info
% 4.09/1.17
% 4.09/1.17 git: date: 2024-05-02 19:28:25 +0000
% 4.09/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.09/1.17 git: non_committed_changes: false
% 4.09/1.17
% 4.09/1.17 ------ Parsing...successful
% 4.09/1.17
% 4.09/1.17
% 4.09/1.17
% 4.09/1.17 ------ Preprocessing... sup_sim: 6 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
% 4.09/1.17
% 4.09/1.17 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.09/1.17
% 4.09/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.09/1.17 ------ Proving...
% 4.09/1.17 ------ Problem Properties
% 4.09/1.17
% 4.09/1.17
% 4.09/1.17 clauses 187
% 4.09/1.17 conjectures 7
% 4.09/1.17 EPR 60
% 4.09/1.17 Horn 159
% 4.09/1.17 unary 66
% 4.09/1.17 binary 22
% 4.09/1.17 lits 555
% 4.09/1.17 lits eq 76
% 4.09/1.17 fd_pure 0
% 4.09/1.17 fd_pseudo 0
% 4.09/1.17 fd_cond 16
% 4.09/1.17 fd_pseudo_cond 14
% 4.09/1.17 AC symbols 0
% 4.09/1.17
% 4.09/1.17 ------ Schedule dynamic 5 is on
% 4.09/1.17
% 4.09/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.09/1.17
% 4.09/1.17
% 4.09/1.17 ------
% 4.09/1.17 Current options:
% 4.09/1.17 ------
% 4.09/1.17
% 4.09/1.17
% 4.09/1.17
% 4.09/1.17
% 4.09/1.17 ------ Proving...
% 4.09/1.17
% 4.09/1.17
% 4.09/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 4.09/1.17
% 4.09/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.09/1.17
% 4.09/1.18
%------------------------------------------------------------------------------