TSTP Solution File: LCL224-3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL224-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 02:37:20 EDT 2024
% Result : Unsatisfiable 20.40s 3.62s
% Output : CNFRefutation 20.40s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ theorem(implies(or(p,implies(q,r)),implies(or(p,q),or(p,r)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_50,plain,
axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(c_51,plain,
axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(c_52,plain,
axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(c_53,plain,
axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
cnf(c_54,plain,
axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(c_55,plain,
or(not(X0),X1) = implies(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(c_56,plain,
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(c_57,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(X0)
| theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(c_104,plain,
( implies(or(X0,X0),X0) != X1
| theorem(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_56]) ).
cnf(c_105,plain,
theorem(implies(or(X0,X0),X0)),
inference(unflattening,[status(thm)],[c_104]) ).
cnf(c_110,plain,
( implies(X0,or(X1,X0)) != X2
| theorem(X2) ),
inference(resolution_lifted,[status(thm)],[c_51,c_56]) ).
cnf(c_111,plain,
theorem(implies(X0,or(X1,X0))),
inference(unflattening,[status(thm)],[c_110]) ).
cnf(c_116,plain,
( implies(or(X0,X1),or(X1,X0)) != X2
| theorem(X2) ),
inference(resolution_lifted,[status(thm)],[c_52,c_56]) ).
cnf(c_117,plain,
theorem(implies(or(X0,X1),or(X1,X0))),
inference(unflattening,[status(thm)],[c_116]) ).
cnf(c_122,plain,
( implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))) != X3
| theorem(X3) ),
inference(resolution_lifted,[status(thm)],[c_53,c_56]) ).
cnf(c_123,plain,
theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(unflattening,[status(thm)],[c_122]) ).
cnf(c_128,plain,
( implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))) != X3
| theorem(X3) ),
inference(resolution_lifted,[status(thm)],[c_54,c_56]) ).
cnf(c_129,plain,
theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(unflattening,[status(thm)],[c_128]) ).
cnf(c_168,plain,
implies(q,r) = sP0_iProver_def,
definition ).
cnf(c_169,plain,
or(p,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_170,plain,
or(p,q) = sP2_iProver_def,
definition ).
cnf(c_171,plain,
or(p,r) = sP3_iProver_def,
definition ).
cnf(c_172,plain,
implies(sP2_iProver_def,sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_173,plain,
implies(sP1_iProver_def,sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_174,negated_conjecture,
~ theorem(sP5_iProver_def),
inference(demodulation,[status(thm)],[c_49,c_171,c_170,c_172,c_168,c_169,c_173]) ).
cnf(c_309,plain,
theorem(implies(or(r,p),sP3_iProver_def)),
inference(superposition,[status(thm)],[c_171,c_117]) ).
cnf(c_314,plain,
theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_55,c_111]) ).
cnf(c_323,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[status(thm)],[c_55,c_123]) ).
cnf(c_326,plain,
theorem(implies(or(X0,implies(X1,X2)),or(not(X1),or(X0,X2)))),
inference(superposition,[status(thm)],[c_55,c_123]) ).
cnf(c_359,plain,
( ~ theorem(X0)
| theorem(or(X1,X0)) ),
inference(superposition,[status(thm)],[c_111,c_57]) ).
cnf(c_360,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X1,X0)) ),
inference(superposition,[status(thm)],[c_117,c_57]) ).
cnf(c_361,plain,
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,X2))) ),
inference(superposition,[status(thm)],[c_123,c_57]) ).
cnf(c_372,plain,
( ~ theorem(X0)
| theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_314,c_57]) ).
cnf(c_496,plain,
theorem(implies(sP0_iProver_def,implies(or(X0,q),or(X0,r)))),
inference(superposition,[status(thm)],[c_168,c_129]) ).
cnf(c_501,plain,
theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(superposition,[status(thm)],[c_55,c_129]) ).
cnf(c_502,plain,
theorem(implies(implies(sP0_iProver_def,X0),implies(sP1_iProver_def,or(p,X0)))),
inference(superposition,[status(thm)],[c_169,c_129]) ).
cnf(c_507,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(or(X2,X0),or(X2,X1))) ),
inference(superposition,[status(thm)],[c_129,c_57]) ).
cnf(c_634,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(demodulation,[status(thm)],[c_323,c_55]) ).
cnf(c_641,plain,
theorem(implies(implies(sP2_iProver_def,or(X0,sP3_iProver_def)),or(X0,sP4_iProver_def))),
inference(superposition,[status(thm)],[c_172,c_634]) ).
cnf(c_642,plain,
theorem(implies(implies(sP1_iProver_def,or(X0,sP4_iProver_def)),or(X0,sP5_iProver_def))),
inference(superposition,[status(thm)],[c_173,c_634]) ).
cnf(c_643,plain,
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(or(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_634,c_57]) ).
cnf(c_826,plain,
theorem(implies(sP0_iProver_def,implies(or(p,q),sP3_iProver_def))),
inference(superposition,[status(thm)],[c_171,c_496]) ).
cnf(c_829,plain,
theorem(implies(sP0_iProver_def,sP4_iProver_def)),
inference(light_normalisation,[status(thm)],[c_826,c_170,c_172]) ).
cnf(c_850,plain,
theorem(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),
inference(demodulation,[status(thm)],[c_326,c_55]) ).
cnf(c_854,plain,
theorem(implies(or(X0,sP5_iProver_def),implies(sP1_iProver_def,or(X0,sP4_iProver_def)))),
inference(superposition,[status(thm)],[c_173,c_850]) ).
cnf(c_859,plain,
( ~ theorem(or(X0,implies(X1,X2)))
| theorem(implies(X1,or(X0,X2))) ),
inference(superposition,[status(thm)],[c_850,c_57]) ).
cnf(c_996,plain,
( ~ theorem(implies(sP0_iProver_def,X0))
| theorem(implies(sP1_iProver_def,or(p,X0))) ),
inference(superposition,[status(thm)],[c_502,c_57]) ).
cnf(c_1281,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,X1))) ),
inference(superposition,[status(thm)],[c_359,c_361]) ).
cnf(c_1311,plain,
( ~ theorem(implies(sP2_iProver_def,or(X0,sP3_iProver_def)))
| theorem(or(X0,sP4_iProver_def)) ),
inference(superposition,[status(thm)],[c_641,c_57]) ).
cnf(c_1325,plain,
( ~ theorem(implies(sP1_iProver_def,or(X0,sP4_iProver_def)))
| theorem(or(X0,sP5_iProver_def)) ),
inference(superposition,[status(thm)],[c_642,c_57]) ).
cnf(c_1448,plain,
( ~ theorem(or(X0,sP5_iProver_def))
| theorem(implies(sP1_iProver_def,or(X0,sP4_iProver_def))) ),
inference(superposition,[status(thm)],[c_854,c_57]) ).
cnf(c_1481,plain,
theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(demodulation,[status(thm)],[c_501,c_55]) ).
cnf(c_1490,plain,
theorem(implies(implies(X0,sP4_iProver_def),implies(implies(sP1_iProver_def,X0),sP5_iProver_def))),
inference(superposition,[status(thm)],[c_173,c_1481]) ).
cnf(c_1813,plain,
( ~ theorem(implies(X0,sP4_iProver_def))
| theorem(implies(implies(sP1_iProver_def,X0),sP5_iProver_def)) ),
inference(superposition,[status(thm)],[c_1490,c_57]) ).
cnf(c_1847,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(or(X2,X0))
| theorem(or(X2,X1)) ),
inference(superposition,[status(thm)],[c_507,c_57]) ).
cnf(c_2206,plain,
theorem(or(X0,implies(or(X1,X0),X1))),
inference(superposition,[status(thm)],[c_117,c_643]) ).
cnf(c_2462,plain,
theorem(or(implies(or(X0,X1),X0),X1)),
inference(superposition,[status(thm)],[c_2206,c_360]) ).
cnf(c_3999,plain,
( ~ theorem(or(X0,sP3_iProver_def))
| theorem(or(X0,sP4_iProver_def)) ),
inference(superposition,[status(thm)],[c_372,c_1311]) ).
cnf(c_4100,plain,
( ~ theorem(implies(sP0_iProver_def,sP4_iProver_def))
| theorem(or(p,sP5_iProver_def)) ),
inference(superposition,[status(thm)],[c_996,c_1325]) ).
cnf(c_4105,plain,
theorem(or(p,sP5_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_4100,c_829]) ).
cnf(c_4113,plain,
theorem(or(sP5_iProver_def,p)),
inference(superposition,[status(thm)],[c_4105,c_360]) ).
cnf(c_4357,plain,
theorem(or(implies(or(X0,sP3_iProver_def),X0),sP4_iProver_def)),
inference(superposition,[status(thm)],[c_2462,c_3999]) ).
cnf(c_4554,plain,
theorem(or(sP4_iProver_def,implies(or(X0,sP3_iProver_def),X0))),
inference(superposition,[status(thm)],[c_4357,c_360]) ).
cnf(c_4566,plain,
theorem(implies(or(X0,sP3_iProver_def),or(sP4_iProver_def,X0))),
inference(superposition,[status(thm)],[c_4554,c_859]) ).
cnf(c_4597,plain,
( ~ theorem(or(X0,sP3_iProver_def))
| theorem(or(sP4_iProver_def,X0)) ),
inference(superposition,[status(thm)],[c_4566,c_57]) ).
cnf(c_5955,plain,
( ~ theorem(implies(X0,sP4_iProver_def))
| ~ theorem(implies(sP1_iProver_def,X0))
| theorem(sP5_iProver_def) ),
inference(superposition,[status(thm)],[c_1813,c_57]) ).
cnf(c_5956,plain,
( ~ theorem(implies(X0,sP4_iProver_def))
| ~ theorem(implies(sP1_iProver_def,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5955,c_174]) ).
cnf(c_5965,plain,
~ theorem(implies(sP1_iProver_def,or(sP4_iProver_def,sP4_iProver_def))),
inference(superposition,[status(thm)],[c_105,c_5956]) ).
cnf(c_6037,plain,
~ theorem(or(sP4_iProver_def,sP5_iProver_def)),
inference(superposition,[status(thm)],[c_1448,c_5965]) ).
cnf(c_7515,plain,
( ~ theorem(or(X0,or(r,p)))
| theorem(or(X0,sP3_iProver_def)) ),
inference(superposition,[status(thm)],[c_309,c_1847]) ).
cnf(c_36764,plain,
( ~ theorem(or(X0,p))
| theorem(or(X0,sP3_iProver_def)) ),
inference(superposition,[status(thm)],[c_1281,c_7515]) ).
cnf(c_46971,plain,
theorem(or(sP5_iProver_def,sP3_iProver_def)),
inference(superposition,[status(thm)],[c_4113,c_36764]) ).
cnf(c_47604,plain,
theorem(or(sP4_iProver_def,sP5_iProver_def)),
inference(superposition,[status(thm)],[c_46971,c_4597]) ).
cnf(c_47606,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_47604,c_6037]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LCL224-3 : TPTP v8.1.2. Released v2.3.0.
% 0.02/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n029.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 19:36:52 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 20.40/3.62 % SZS status Started for theBenchmark.p
% 20.40/3.62 % SZS status Unsatisfiable for theBenchmark.p
% 20.40/3.62
% 20.40/3.62 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 20.40/3.62
% 20.40/3.62 ------ iProver source info
% 20.40/3.62
% 20.40/3.62 git: date: 2024-05-02 19:28:25 +0000
% 20.40/3.62 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 20.40/3.62 git: non_committed_changes: false
% 20.40/3.62
% 20.40/3.62 ------ Parsing...successful
% 20.40/3.62
% 20.40/3.62
% 20.40/3.62
% 20.40/3.62 ------ Preprocessing... sup_sim: 0 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
% 20.40/3.62
% 20.40/3.62 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.40/3.62
% 20.40/3.62 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 20.40/3.62 ------ Proving...
% 20.40/3.62 ------ Problem Properties
% 20.40/3.62
% 20.40/3.62
% 20.40/3.62 clauses 14
% 20.40/3.62 conjectures 1
% 20.40/3.62 EPR 1
% 20.40/3.62 Horn 14
% 20.40/3.62 unary 13
% 20.40/3.62 binary 0
% 20.40/3.62 lits 16
% 20.40/3.62 lits eq 7
% 20.40/3.62 fd_pure 0
% 20.40/3.62 fd_pseudo 0
% 20.40/3.62 fd_cond 0
% 20.40/3.62 fd_pseudo_cond 0
% 20.40/3.62 AC symbols 0
% 20.40/3.62
% 20.40/3.62 ------ Schedule dynamic 5 is on
% 20.40/3.62
% 20.40/3.62 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.40/3.62
% 20.40/3.62
% 20.40/3.62 ------
% 20.40/3.62 Current options:
% 20.40/3.62 ------
% 20.40/3.62
% 20.40/3.62
% 20.40/3.62
% 20.40/3.62
% 20.40/3.62 ------ Proving...
% 20.40/3.62
% 20.40/3.62
% 20.40/3.62 % SZS status Unsatisfiable for theBenchmark.p
% 20.40/3.62
% 20.40/3.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.40/3.62
% 20.40/3.63
%------------------------------------------------------------------------------