TSTP Solution File: SWC379-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC379-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 03:12:14 EDT 2024
% Result : Unsatisfiable 4.03s 1.15s
% Output : CNFRefutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of clauses : 56 ( 12 unt; 25 nHn; 56 RR)
% Number of literals : 167 ( 29 equ; 85 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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,
( ~ memberP(sk4,X0)
| ~ ssItem(X0)
| ssItem(sk5(X0))
| memberP(sk3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(c_56,negated_conjecture,
( ~ memberP(sk4,X0)
| ~ ssItem(X0)
| memberP(sk4,sk5(X0))
| memberP(sk3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(c_57,negated_conjecture,
( ~ memberP(sk4,X0)
| ~ ssItem(X0)
| leq(sk5(X0),X0)
| memberP(sk3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(c_58,negated_conjecture,
( sk5(X0) != X0
| ~ memberP(sk4,X0)
| ~ ssItem(X0)
| memberP(sk3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(c_59,negated_conjecture,
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(sk4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(c_60,negated_conjecture,
( ~ leq(X0,X1)
| ~ memberP(sk3,X1)
| ~ memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(c_61,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(c_62,negated_conjecture,
( memberP(sk1,sk6)
| memberP(sk2,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(c_63,negated_conjecture,
( ~ memberP(sk2,X0)
| ~ leq(X0,sk6)
| ~ ssItem(X0)
| X0 = sk6
| memberP(sk1,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
cnf(c_64,negated_conjecture,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| ssItem(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
cnf(c_65,negated_conjecture,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| memberP(sk2,sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
cnf(c_66,negated_conjecture,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| leq(sk7,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
cnf(c_67,negated_conjecture,
( sk6 != sk7
| ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
cnf(c_1746,plain,
( ~ memberP(sk1,X0)
| ~ ssItem(X0)
| memberP(sk2,X0) ),
inference(light_normalisation,[status(thm)],[c_59,c_53,c_54]) ).
cnf(c_1941,plain,
( ~ memberP(sk2,X0)
| ~ ssItem(X0)
| ssItem(sk5(X0))
| memberP(sk1,X0) ),
inference(light_normalisation,[status(thm)],[c_55,c_53,c_54]) ).
cnf(c_1966,plain,
( ~ memberP(sk2,X0)
| ~ ssItem(X0)
| leq(sk5(X0),X0)
| memberP(sk1,X0) ),
inference(light_normalisation,[status(thm)],[c_57,c_53,c_54]) ).
cnf(c_1975,plain,
( ~ memberP(sk2,X0)
| ~ ssItem(X0)
| memberP(sk2,sk5(X0))
| memberP(sk1,X0) ),
inference(light_normalisation,[status(thm)],[c_56,c_53,c_54]) ).
cnf(c_2002,plain,
( sk5(X0) != X0
| ~ memberP(sk2,X0)
| ~ ssItem(X0)
| memberP(sk1,X0) ),
inference(light_normalisation,[status(thm)],[c_58,c_53,c_54]) ).
cnf(c_2467,plain,
( ~ leq(X0,X1)
| ~ memberP(sk1,X1)
| ~ memberP(sk2,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| X0 = X1 ),
inference(light_normalisation,[status(thm)],[c_60,c_53,c_54]) ).
cnf(c_6644,negated_conjecture,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| leq(sk7,sk6) ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_6645,negated_conjecture,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| memberP(sk2,sk7) ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_6646,negated_conjecture,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| ssItem(sk7) ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_6647,negated_conjecture,
( ~ memberP(sk2,X0)
| ~ leq(X0,sk6)
| ~ ssItem(X0)
| X0 = sk6
| memberP(sk1,sk6) ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_6648,negated_conjecture,
( memberP(sk1,sk6)
| memberP(sk2,sk6) ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_6649,negated_conjecture,
ssItem(sk6),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_9360,plain,
( ~ ssItem(sk6)
| memberP(sk2,sk6) ),
inference(superposition,[status(thm)],[c_6648,c_1746]) ).
cnf(c_9361,plain,
memberP(sk2,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_9360,c_6649]) ).
cnf(c_9363,plain,
( ~ memberP(sk1,sk6)
| leq(sk7,sk6) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6644,c_9361]) ).
cnf(c_9364,plain,
( ~ memberP(sk1,sk6)
| memberP(sk2,sk7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6645,c_9361]) ).
cnf(c_9365,plain,
( ~ memberP(sk1,sk6)
| ssItem(sk7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6646,c_9361]) ).
cnf(c_9408,plain,
( ~ ssItem(sk6)
| ssItem(sk5(sk6))
| memberP(sk1,sk6) ),
inference(superposition,[status(thm)],[c_9361,c_1941]) ).
cnf(c_9409,plain,
( ssItem(sk5(sk6))
| memberP(sk1,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9408,c_6649]) ).
cnf(c_9434,plain,
( ~ memberP(sk2,sk5(sk6))
| ~ ssItem(sk5(sk6))
| ~ memberP(sk2,sk6)
| ~ ssItem(sk6)
| sk5(sk6) = sk6
| memberP(sk1,sk6) ),
inference(superposition,[status(thm)],[c_1966,c_6647]) ).
cnf(c_9435,plain,
( ~ memberP(sk2,sk5(sk6))
| ~ ssItem(sk5(sk6))
| sk5(sk6) = sk6
| memberP(sk1,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9434,c_6649,c_9361]) ).
cnf(c_9464,plain,
( ~ memberP(sk2,sk5(sk6))
| sk5(sk6) = sk6
| memberP(sk1,sk6) ),
inference(global_subsumption_just,[status(thm)],[c_9435,c_9409,c_9435]) ).
cnf(c_9472,plain,
( ~ memberP(sk2,sk6)
| ~ ssItem(sk6)
| sk5(sk6) = sk6
| memberP(sk1,sk6) ),
inference(superposition,[status(thm)],[c_1975,c_9464]) ).
cnf(c_9473,plain,
( sk5(sk6) = sk6
| memberP(sk1,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9472,c_6649,c_9361]) ).
cnf(c_9482,plain,
( sk5(sk6) = sk6
| memberP(sk2,sk7) ),
inference(superposition,[status(thm)],[c_9473,c_9364]) ).
cnf(c_9483,plain,
( sk5(sk6) = sk6
| leq(sk7,sk6) ),
inference(superposition,[status(thm)],[c_9473,c_9363]) ).
cnf(c_9484,plain,
( sk5(sk6) = sk6
| ssItem(sk7) ),
inference(superposition,[status(thm)],[c_9473,c_9365]) ).
cnf(c_9550,plain,
( ~ ssItem(sk7)
| sk5(sk6) = sk6
| ssItem(sk5(sk7))
| memberP(sk1,sk7) ),
inference(superposition,[status(thm)],[c_9482,c_1941]) ).
cnf(c_9559,plain,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk7)
| sk5(sk6) = sk6
| sk6 = sk7 ),
inference(superposition,[status(thm)],[c_9483,c_2467]) ).
cnf(c_9560,plain,
( ~ memberP(sk2,sk7)
| ~ ssItem(sk7)
| sk5(sk6) = sk6
| sk6 = sk7
| memberP(sk1,sk6) ),
inference(superposition,[status(thm)],[c_9483,c_6647]) ).
cnf(c_9566,plain,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk7)
| ~ ssItem(sk7)
| sk5(sk6) = sk6
| sk6 = sk7 ),
inference(forward_subsumption_resolution,[status(thm)],[c_9559,c_6649]) ).
cnf(c_9572,plain,
( ~ memberP(sk2,sk7)
| ~ ssItem(sk7)
| sk5(sk6) = sk6
| sk6 = sk7 ),
inference(backward_subsumption_resolution,[status(thm)],[c_9560,c_9566]) ).
cnf(c_9600,plain,
sk5(sk6) = sk6,
inference(global_subsumption_just,[status(thm)],[c_9550,c_67,c_9361,c_9473,c_9484,c_9482,c_9572]) ).
cnf(c_9604,plain,
( ~ memberP(sk2,sk6)
| ~ ssItem(sk6)
| memberP(sk1,sk6) ),
inference(superposition,[status(thm)],[c_9600,c_2002]) ).
cnf(c_9607,plain,
memberP(sk1,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_9604,c_6649,c_9361]) ).
cnf(c_9608,plain,
ssItem(sk7),
inference(backward_subsumption_resolution,[status(thm)],[c_9365,c_9607]) ).
cnf(c_9609,plain,
memberP(sk2,sk7),
inference(backward_subsumption_resolution,[status(thm)],[c_9364,c_9607]) ).
cnf(c_9610,plain,
leq(sk7,sk6),
inference(backward_subsumption_resolution,[status(thm)],[c_9363,c_9607]) ).
cnf(c_9617,plain,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk7)
| sk6 = sk7 ),
inference(superposition,[status(thm)],[c_9610,c_2467]) ).
cnf(c_9618,plain,
sk6 = sk7,
inference(forward_subsumption_resolution,[status(thm)],[c_9617,c_9608,c_6649,c_9609,c_9607]) ).
cnf(c_9622,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9618,c_9607,c_9361,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC379-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 2 23:33:46 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
% 4.03/1.15 % SZS status Started for theBenchmark.p
% 4.03/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 4.03/1.15
% 4.03/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.03/1.15
% 4.03/1.15 ------ iProver source info
% 4.03/1.15
% 4.03/1.15 git: date: 2024-05-02 19:28:25 +0000
% 4.03/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.03/1.15 git: non_committed_changes: false
% 4.03/1.15
% 4.03/1.15 ------ Parsing...successful
% 4.03/1.15
% 4.03/1.15
% 4.03/1.15
% 4.03/1.15 ------ Preprocessing... sup_sim: 10 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
% 4.03/1.15
% 4.03/1.15 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.03/1.15
% 4.03/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.03/1.15 ------ Proving...
% 4.03/1.15 ------ Problem Properties
% 4.03/1.15
% 4.03/1.15
% 4.03/1.15 clauses 194
% 4.03/1.15 conjectures 11
% 4.03/1.15 EPR 65
% 4.03/1.15 Horn 161
% 4.03/1.15 unary 63
% 4.03/1.15 binary 22
% 4.03/1.15 lits 590
% 4.03/1.15 lits eq 75
% 4.03/1.15 fd_pure 0
% 4.03/1.15 fd_pseudo 0
% 4.03/1.15 fd_cond 16
% 4.03/1.15 fd_pseudo_cond 15
% 4.03/1.15 AC symbols 0
% 4.03/1.15
% 4.03/1.15 ------ Schedule dynamic 5 is on
% 4.03/1.15
% 4.03/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.03/1.15
% 4.03/1.15
% 4.03/1.15 ------
% 4.03/1.15 Current options:
% 4.03/1.15 ------
% 4.03/1.15
% 4.03/1.15
% 4.03/1.15
% 4.03/1.15
% 4.03/1.15 ------ Proving...
% 4.03/1.15
% 4.03/1.15
% 4.03/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 4.03/1.15
% 4.03/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.03/1.15
% 4.03/1.15
%------------------------------------------------------------------------------