TSTP Solution File: LCL070-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL070-1 : TPTP v8.1.2. Released v1.0.0.
% 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 02:36:44 EDT 2024
% Result : Unsatisfiable 31.47s 5.17s
% Output : CNFRefutation 31.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c_50,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_19) ).
cnf(c_51,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_37) ).
cnf(c_52,plain,
is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_60) ).
cnf(c_53,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_1) ).
cnf(c_71,plain,
implies(a,b) = sP0_iProver_def,
definition ).
cnf(c_72,plain,
implies(b,c) = sP1_iProver_def,
definition ).
cnf(c_73,plain,
implies(a,c) = sP2_iProver_def,
definition ).
cnf(c_74,plain,
implies(sP1_iProver_def,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_75,plain,
implies(sP0_iProver_def,sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_76,negated_conjecture,
~ is_a_theorem(sP4_iProver_def),
inference(demodulation,[status(thm)],[c_53,c_73,c_72,c_74,c_71,c_75]) ).
cnf(c_207,plain,
is_a_theorem(implies(implies(sP0_iProver_def,X0),implies(b,X0))),
inference(superposition,[status(thm)],[c_71,c_50]) ).
cnf(c_217,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_238,plain,
is_a_theorem(implies(implies(sP3_iProver_def,X0),implies(not(sP1_iProver_def),X0))),
inference(superposition,[status(thm)],[c_74,c_51]) ).
cnf(c_240,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(not(X0),X2)) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_262,plain,
is_a_theorem(implies(implies(X0,implies(not(a),X1)),implies(X0,implies(implies(b,X1),implies(sP0_iProver_def,X1))))),
inference(superposition,[status(thm)],[c_71,c_52]) ).
cnf(c_263,plain,
is_a_theorem(implies(implies(X0,implies(not(b),X1)),implies(X0,implies(implies(c,X1),implies(sP1_iProver_def,X1))))),
inference(superposition,[status(thm)],[c_72,c_52]) ).
cnf(c_267,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X2)))
| is_a_theorem(implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2)))) ),
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_312,plain,
is_a_theorem(implies(sP4_iProver_def,implies(b,sP3_iProver_def))),
inference(superposition,[status(thm)],[c_75,c_207]) ).
cnf(c_508,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_50,c_217]) ).
cnf(c_547,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(superposition,[status(thm)],[c_508,c_217]) ).
cnf(c_688,plain,
is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
inference(superposition,[status(thm)],[c_508,c_240]) ).
cnf(c_1012,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X0))))),
inference(superposition,[status(thm)],[c_547,c_217]) ).
cnf(c_1259,plain,
is_a_theorem(implies(not(a),implies(X0,sP2_iProver_def))),
inference(superposition,[status(thm)],[c_73,c_688]) ).
cnf(c_1292,plain,
is_a_theorem(implies(not(a),sP3_iProver_def)),
inference(superposition,[status(thm)],[c_74,c_1259]) ).
cnf(c_1435,plain,
is_a_theorem(implies(implies(X0,implies(not(a),sP3_iProver_def)),implies(X0,implies(implies(b,sP3_iProver_def),sP4_iProver_def)))),
inference(superposition,[status(thm)],[c_75,c_262]) ).
cnf(c_1497,plain,
is_a_theorem(implies(not(X0),implies(X1,implies(X2,implies(X3,implies(X0,X4)))))),
inference(superposition,[status(thm)],[c_1012,c_240]) ).
cnf(c_1498,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X0)))))),
inference(superposition,[status(thm)],[c_1012,c_217]) ).
cnf(c_1520,plain,
is_a_theorem(implies(implies(not(b),X0),implies(X1,implies(implies(c,X0),implies(sP1_iProver_def,X0))))),
inference(superposition,[status(thm)],[c_263,c_217]) ).
cnf(c_2024,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X0))))))),
inference(superposition,[status(thm)],[c_1498,c_217]) ).
cnf(c_2227,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X3,X2),implies(implies(X1,X3),X2))) ),
inference(superposition,[status(thm)],[c_267,c_49]) ).
cnf(c_2395,plain,
is_a_theorem(implies(not(a),implies(X0,implies(X1,implies(X2,sP2_iProver_def))))),
inference(superposition,[status(thm)],[c_73,c_1497]) ).
cnf(c_2415,plain,
is_a_theorem(implies(not(a),implies(X0,implies(X1,sP3_iProver_def)))),
inference(superposition,[status(thm)],[c_74,c_2395]) ).
cnf(c_2615,plain,
is_a_theorem(implies(not(X0),implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,implies(X0,X6)))))))),
inference(superposition,[status(thm)],[c_2024,c_240]) ).
cnf(c_2712,plain,
is_a_theorem(implies(implies(not(a),sP3_iProver_def),implies(X0,implies(implies(b,sP3_iProver_def),sP4_iProver_def)))),
inference(superposition,[status(thm)],[c_1435,c_217]) ).
cnf(c_2735,plain,
( ~ is_a_theorem(implies(not(a),sP3_iProver_def))
| is_a_theorem(implies(X0,implies(implies(b,sP3_iProver_def),sP4_iProver_def))) ),
inference(superposition,[status(thm)],[c_2712,c_49]) ).
cnf(c_2738,plain,
is_a_theorem(implies(X0,implies(implies(b,sP3_iProver_def),sP4_iProver_def))),
inference(forward_subsumption_resolution,[status(thm)],[c_2735,c_1292]) ).
cnf(c_2741,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(b,sP3_iProver_def),sP4_iProver_def)) ),
inference(superposition,[status(thm)],[c_2738,c_49]) ).
cnf(c_2929,plain,
is_a_theorem(implies(implies(b,sP3_iProver_def),sP4_iProver_def)),
inference(superposition,[status(thm)],[c_2415,c_2741]) ).
cnf(c_2936,plain,
( ~ is_a_theorem(implies(b,sP3_iProver_def))
| is_a_theorem(sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_2929,c_49]) ).
cnf(c_2939,plain,
~ is_a_theorem(implies(b,sP3_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_2936,c_76]) ).
cnf(c_4692,plain,
( ~ is_a_theorem(implies(not(b),X0))
| is_a_theorem(implies(X1,implies(implies(c,X0),implies(sP1_iProver_def,X0)))) ),
inference(superposition,[status(thm)],[c_1520,c_49]) ).
cnf(c_6970,plain,
( ~ is_a_theorem(implies(not(b),X0))
| ~ is_a_theorem(X1)
| is_a_theorem(implies(implies(c,X0),implies(sP1_iProver_def,X0))) ),
inference(superposition,[status(thm)],[c_4692,c_49]) ).
cnf(c_7689,plain,
( ~ is_a_theorem(implies(sP3_iProver_def,X0))
| is_a_theorem(implies(implies(X1,X0),implies(implies(sP1_iProver_def,X1),X0))) ),
inference(superposition,[status(thm)],[c_238,c_2227]) ).
cnf(c_17093,plain,
is_a_theorem(implies(not(a),implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,sP2_iProver_def))))))),
inference(superposition,[status(thm)],[c_73,c_2615]) ).
cnf(c_20839,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(sP3_iProver_def,X1))
| is_a_theorem(implies(implies(sP1_iProver_def,X0),X1)) ),
inference(superposition,[status(thm)],[c_7689,c_49]) ).
cnf(c_21227,plain,
is_a_theorem(implies(not(a),implies(X0,implies(X1,implies(X2,implies(X3,sP3_iProver_def)))))),
inference(superposition,[status(thm)],[c_74,c_17093]) ).
cnf(c_36129,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(sP1_iProver_def,X0))
| ~ is_a_theorem(implies(sP3_iProver_def,X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_20839,c_49]) ).
cnf(c_42094,plain,
( ~ is_a_theorem(implies(not(b),X0))
| is_a_theorem(implies(implies(c,X0),implies(sP1_iProver_def,X0))) ),
inference(superposition,[status(thm)],[c_21227,c_6970]) ).
cnf(c_60871,plain,
( ~ is_a_theorem(implies(sP3_iProver_def,implies(b,sP3_iProver_def)))
| ~ is_a_theorem(implies(sP1_iProver_def,sP4_iProver_def))
| is_a_theorem(implies(b,sP3_iProver_def)) ),
inference(superposition,[status(thm)],[c_312,c_36129]) ).
cnf(c_61371,plain,
~ is_a_theorem(implies(sP1_iProver_def,sP4_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_60871,c_2939,c_508]) ).
cnf(c_80686,plain,
is_a_theorem(implies(implies(X0,implies(not(b),X1)),implies(X0,implies(implies(c,X1),implies(sP1_iProver_def,X1))))),
inference(superposition,[status(thm)],[c_72,c_52]) ).
cnf(c_80712,plain,
is_a_theorem(implies(implies(sP2_iProver_def,X0),implies(c,X0))),
inference(superposition,[status(thm)],[c_73,c_50]) ).
cnf(c_80713,plain,
is_a_theorem(implies(implies(sP3_iProver_def,X0),implies(sP2_iProver_def,X0))),
inference(superposition,[status(thm)],[c_74,c_50]) ).
cnf(c_80719,plain,
is_a_theorem(implies(implies(implies(X0,sP0_iProver_def),sP3_iProver_def),sP4_iProver_def)),
inference(superposition,[status(thm)],[c_75,c_50]) ).
cnf(c_80720,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_80728,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(not(X0),X2)) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_80741,plain,
( ~ is_a_theorem(implies(sP2_iProver_def,X0))
| is_a_theorem(implies(c,X0)) ),
inference(superposition,[status(thm)],[c_80712,c_49]) ).
cnf(c_80744,plain,
( ~ is_a_theorem(implies(sP3_iProver_def,X0))
| is_a_theorem(implies(sP2_iProver_def,X0)) ),
inference(superposition,[status(thm)],[c_80713,c_49]) ).
cnf(c_80921,plain,
is_a_theorem(implies(sP3_iProver_def,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_80719,c_80720]) ).
cnf(c_80943,plain,
is_a_theorem(implies(sP2_iProver_def,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_80921,c_80744]) ).
cnf(c_80947,plain,
is_a_theorem(implies(c,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_80943,c_80741]) ).
cnf(c_81002,plain,
is_a_theorem(implies(not(X0),implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),X2))))),
inference(superposition,[status(thm)],[c_52,c_80728]) ).
cnf(c_81674,plain,
is_a_theorem(implies(not(X0),implies(X0,implies(implies(b,X1),implies(sP0_iProver_def,X1))))),
inference(superposition,[status(thm)],[c_71,c_81002]) ).
cnf(c_81707,plain,
is_a_theorem(implies(not(X0),implies(X0,implies(implies(b,sP3_iProver_def),sP4_iProver_def)))),
inference(superposition,[status(thm)],[c_75,c_81674]) ).
cnf(c_81711,plain,
( ~ is_a_theorem(not(X0))
| is_a_theorem(implies(X0,implies(implies(b,sP3_iProver_def),sP4_iProver_def))) ),
inference(superposition,[status(thm)],[c_81707,c_49]) ).
cnf(c_81714,plain,
is_a_theorem(implies(X0,implies(implies(b,sP3_iProver_def),sP4_iProver_def))),
inference(global_subsumption_just,[status(thm)],[c_81711,c_2738]) ).
cnf(c_81716,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(b,sP3_iProver_def),sP4_iProver_def)) ),
inference(superposition,[status(thm)],[c_81714,c_49]) ).
cnf(c_81726,plain,
is_a_theorem(implies(implies(b,sP3_iProver_def),sP4_iProver_def)),
inference(global_subsumption_just,[status(thm)],[c_81716,c_2929]) ).
cnf(c_81729,plain,
is_a_theorem(implies(not(b),sP4_iProver_def)),
inference(superposition,[status(thm)],[c_81726,c_80728]) ).
cnf(c_82574,plain,
is_a_theorem(implies(implies(not(b),X0),implies(X1,implies(implies(c,X0),implies(sP1_iProver_def,X0))))),
inference(superposition,[status(thm)],[c_80686,c_80720]) ).
cnf(c_83076,plain,
( ~ is_a_theorem(implies(not(b),X0))
| is_a_theorem(implies(X1,implies(implies(c,X0),implies(sP1_iProver_def,X0)))) ),
inference(superposition,[status(thm)],[c_82574,c_49]) ).
cnf(c_83373,plain,
( ~ is_a_theorem(implies(not(b),X0))
| ~ is_a_theorem(X1)
| is_a_theorem(implies(implies(c,X0),implies(sP1_iProver_def,X0))) ),
inference(superposition,[status(thm)],[c_83076,c_49]) ).
cnf(c_87946,plain,
( ~ is_a_theorem(implies(not(b),X0))
| is_a_theorem(implies(implies(c,X0),implies(sP1_iProver_def,X0))) ),
inference(global_subsumption_just,[status(thm)],[c_83373,c_42094]) ).
cnf(c_87953,plain,
( ~ is_a_theorem(implies(not(b),X0))
| ~ is_a_theorem(implies(c,X0))
| is_a_theorem(implies(sP1_iProver_def,X0)) ),
inference(superposition,[status(thm)],[c_87946,c_49]) ).
cnf(c_88026,plain,
( ~ is_a_theorem(implies(c,sP4_iProver_def))
| is_a_theorem(implies(sP1_iProver_def,sP4_iProver_def)) ),
inference(superposition,[status(thm)],[c_81729,c_87953]) ).
cnf(c_88055,plain,
is_a_theorem(implies(sP1_iProver_def,sP4_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_88026,c_80947]) ).
cnf(c_88260,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_88055,c_61371]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LCL070-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n018.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 May 2 19:14:46 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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
% 31.47/5.17 % SZS status Started for theBenchmark.p
% 31.47/5.17 % SZS status Unsatisfiable for theBenchmark.p
% 31.47/5.17
% 31.47/5.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 31.47/5.17
% 31.47/5.17 ------ iProver source info
% 31.47/5.17
% 31.47/5.17 git: date: 2024-05-02 19:28:25 +0000
% 31.47/5.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 31.47/5.17 git: non_committed_changes: false
% 31.47/5.17
% 31.47/5.17 ------ Parsing...successful
% 31.47/5.17
% 31.47/5.17
% 31.47/5.17
% 31.47/5.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 31.47/5.17
% 31.47/5.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 31.47/5.17
% 31.47/5.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 31.47/5.17 ------ Proving...
% 31.47/5.17 ------ Problem Properties
% 31.47/5.17
% 31.47/5.17
% 31.47/5.17 clauses 10
% 31.47/5.17 conjectures 1
% 31.47/5.17 EPR 1
% 31.47/5.17 Horn 10
% 31.47/5.17 unary 9
% 31.47/5.17 binary 0
% 31.47/5.17 lits 12
% 31.47/5.17 lits eq 5
% 31.47/5.17 fd_pure 0
% 31.47/5.17 fd_pseudo 0
% 31.47/5.17 fd_cond 0
% 31.47/5.17 fd_pseudo_cond 0
% 31.47/5.17 AC symbols 0
% 31.47/5.17
% 31.47/5.17 ------ Schedule dynamic 5 is on
% 31.47/5.17
% 31.47/5.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 31.47/5.17
% 31.47/5.17
% 31.47/5.17 ------
% 31.47/5.17 Current options:
% 31.47/5.17 ------
% 31.47/5.17
% 31.47/5.17
% 31.47/5.17
% 31.47/5.17
% 31.47/5.17 ------ Proving...
% 31.47/5.17
% 31.47/5.17
% 31.47/5.17 % SZS status Unsatisfiable for theBenchmark.p
% 31.47/5.17
% 31.47/5.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.47/5.17
% 31.47/5.17
%------------------------------------------------------------------------------