TSTP Solution File: LCL195-3 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL195-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 02:37:11 EDT 2024
% Result : Unsatisfiable 43.39s 6.77s
% Output : CNFRefutation 43.39s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ theorem(implies(implies(q,r),implies(or(q,p),or(r,p)))),
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(q,p) = sP1_iProver_def,
definition ).
cnf(c_170,plain,
or(r,p) = sP2_iProver_def,
definition ).
cnf(c_171,plain,
implies(sP1_iProver_def,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_172,plain,
implies(sP0_iProver_def,sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_173,negated_conjecture,
~ theorem(sP4_iProver_def),
inference(demodulation,[status(thm)],[c_49,c_170,c_169,c_171,c_168,c_172]) ).
cnf(c_299,plain,
theorem(implies(p,sP2_iProver_def)),
inference(superposition,[status(thm)],[c_170,c_111]) ).
cnf(c_306,plain,
theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_55,c_111]) ).
cnf(c_315,plain,
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(superposition,[status(thm)],[c_105,c_57]) ).
cnf(c_317,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X1,X0)) ),
inference(superposition,[status(thm)],[c_117,c_57]) ).
cnf(c_370,plain,
( ~ theorem(X0)
| theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_306,c_57]) ).
cnf(c_396,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[status(thm)],[c_55,c_123]) ).
cnf(c_399,plain,
theorem(implies(or(X0,implies(X1,X2)),or(not(X1),or(X0,X2)))),
inference(superposition,[status(thm)],[c_55,c_123]) ).
cnf(c_506,plain,
theorem(implies(implies(p,X0),implies(sP1_iProver_def,or(q,X0)))),
inference(superposition,[status(thm)],[c_169,c_129]) ).
cnf(c_508,plain,
theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(superposition,[status(thm)],[c_55,c_129]) ).
cnf(c_512,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(or(X2,X0),or(X2,X1))) ),
inference(superposition,[status(thm)],[c_129,c_57]) ).
cnf(c_630,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(demodulation,[status(thm)],[c_396,c_55]) ).
cnf(c_633,plain,
theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))),
inference(superposition,[status(thm)],[c_55,c_630]) ).
cnf(c_636,plain,
theorem(implies(implies(sP1_iProver_def,or(X0,sP2_iProver_def)),or(X0,sP3_iProver_def))),
inference(superposition,[status(thm)],[c_171,c_630]) ).
cnf(c_637,plain,
theorem(implies(implies(sP0_iProver_def,or(X0,sP3_iProver_def)),or(X0,sP4_iProver_def))),
inference(superposition,[status(thm)],[c_172,c_630]) ).
cnf(c_638,plain,
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(or(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_630,c_57]) ).
cnf(c_811,plain,
theorem(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),
inference(demodulation,[status(thm)],[c_399,c_55]) ).
cnf(c_819,plain,
( ~ theorem(or(X0,implies(X1,X2)))
| theorem(implies(X1,or(X0,X2))) ),
inference(superposition,[status(thm)],[c_811,c_57]) ).
cnf(c_936,plain,
( ~ theorem(implies(p,X0))
| theorem(implies(sP1_iProver_def,or(q,X0))) ),
inference(superposition,[status(thm)],[c_506,c_57]) ).
cnf(c_1053,plain,
( ~ theorem(implies(sP1_iProver_def,or(X0,sP2_iProver_def)))
| theorem(or(X0,sP3_iProver_def)) ),
inference(superposition,[status(thm)],[c_636,c_57]) ).
cnf(c_1065,plain,
( ~ theorem(implies(sP0_iProver_def,or(X0,sP3_iProver_def)))
| theorem(or(X0,sP4_iProver_def)) ),
inference(superposition,[status(thm)],[c_637,c_57]) ).
cnf(c_1456,plain,
theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(demodulation,[status(thm)],[c_508,c_55]) ).
cnf(c_1465,plain,
theorem(implies(implies(X0,sP3_iProver_def),implies(implies(sP0_iProver_def,X0),sP4_iProver_def))),
inference(superposition,[status(thm)],[c_172,c_1456]) ).
cnf(c_1760,plain,
( ~ theorem(implies(X0,sP3_iProver_def))
| theorem(implies(implies(sP0_iProver_def,X0),sP4_iProver_def)) ),
inference(superposition,[status(thm)],[c_1465,c_57]) ).
cnf(c_1774,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(or(X2,X0))
| theorem(or(X2,X1)) ),
inference(superposition,[status(thm)],[c_512,c_57]) ).
cnf(c_1953,plain,
theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(demodulation,[status(thm)],[c_633,c_55]) ).
cnf(c_1956,plain,
theorem(implies(implies(X0,sP4_iProver_def),implies(sP0_iProver_def,implies(X0,sP3_iProver_def)))),
inference(superposition,[status(thm)],[c_172,c_1953]) ).
cnf(c_2064,plain,
( ~ theorem(implies(X0,sP4_iProver_def))
| theorem(implies(sP0_iProver_def,implies(X0,sP3_iProver_def))) ),
inference(superposition,[status(thm)],[c_1956,c_57]) ).
cnf(c_2156,plain,
theorem(or(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_111,c_638]) ).
cnf(c_2320,plain,
theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_2156,c_315]) ).
cnf(c_2325,plain,
theorem(or(X0,implies(or(X0,X1),X1))),
inference(superposition,[status(thm)],[c_2320,c_638]) ).
cnf(c_2407,plain,
( ~ theorem(implies(p,sP2_iProver_def))
| theorem(or(q,sP3_iProver_def)) ),
inference(superposition,[status(thm)],[c_936,c_1053]) ).
cnf(c_2417,plain,
theorem(or(q,sP3_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_2407,c_299]) ).
cnf(c_2425,plain,
theorem(or(sP3_iProver_def,q)),
inference(superposition,[status(thm)],[c_2417,c_317]) ).
cnf(c_2623,plain,
( ~ theorem(or(X0,sP3_iProver_def))
| theorem(or(X0,sP4_iProver_def)) ),
inference(superposition,[status(thm)],[c_370,c_1065]) ).
cnf(c_2705,plain,
theorem(implies(X0,implies(or(not(X0),X1),X1))),
inference(superposition,[status(thm)],[c_55,c_2325]) ).
cnf(c_2709,plain,
theorem(or(implies(or(X0,X1),X1),X0)),
inference(superposition,[status(thm)],[c_2325,c_317]) ).
cnf(c_2711,plain,
theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(light_normalisation,[status(thm)],[c_2705,c_55]) ).
cnf(c_2737,plain,
theorem(implies(q,implies(sP0_iProver_def,r))),
inference(superposition,[status(thm)],[c_168,c_2711]) ).
cnf(c_2740,plain,
( ~ theorem(X0)
| theorem(implies(implies(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_2711,c_57]) ).
cnf(c_4010,plain,
theorem(or(implies(or(sP3_iProver_def,X0),X0),sP4_iProver_def)),
inference(superposition,[status(thm)],[c_2709,c_2623]) ).
cnf(c_4284,plain,
theorem(or(sP4_iProver_def,implies(or(sP3_iProver_def,X0),X0))),
inference(superposition,[status(thm)],[c_4010,c_317]) ).
cnf(c_4308,plain,
theorem(implies(or(sP3_iProver_def,X0),or(sP4_iProver_def,X0))),
inference(superposition,[status(thm)],[c_4284,c_819]) ).
cnf(c_4378,plain,
( ~ theorem(or(sP3_iProver_def,X0))
| theorem(or(sP4_iProver_def,X0)) ),
inference(superposition,[status(thm)],[c_4308,c_57]) ).
cnf(c_5249,plain,
( ~ theorem(implies(X0,sP3_iProver_def))
| ~ theorem(implies(sP0_iProver_def,X0))
| theorem(sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_1760,c_57]) ).
cnf(c_5250,plain,
( ~ theorem(implies(X0,sP3_iProver_def))
| ~ theorem(implies(sP0_iProver_def,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5249,c_173]) ).
cnf(c_5268,plain,
( ~ theorem(implies(sP0_iProver_def,implies(X0,sP3_iProver_def)))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_2740,c_5250]) ).
cnf(c_6224,plain,
( ~ theorem(implies(X0,sP4_iProver_def))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_2064,c_5268]) ).
cnf(c_6439,plain,
~ theorem(or(sP4_iProver_def,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_105,c_6224]) ).
cnf(c_7300,plain,
( ~ theorem(or(X0,implies(sP0_iProver_def,X1)))
| ~ theorem(implies(X1,sP3_iProver_def))
| theorem(or(X0,sP4_iProver_def)) ),
inference(superposition,[status(thm)],[c_1760,c_1774]) ).
cnf(c_7331,plain,
( ~ theorem(or(X0,q))
| theorem(or(X0,implies(sP0_iProver_def,r))) ),
inference(superposition,[status(thm)],[c_2737,c_1774]) ).
cnf(c_82811,plain,
theorem(implies(or(p,r),sP2_iProver_def)),
inference(superposition,[status(thm)],[c_170,c_117]) ).
cnf(c_82816,plain,
theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_55,c_111]) ).
cnf(c_82839,plain,
( ~ theorem(X0)
| theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_82816,c_57]) ).
cnf(c_83020,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[status(thm)],[c_55,c_123]) ).
cnf(c_83043,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(demodulation,[status(thm)],[c_83020,c_55]) ).
cnf(c_83049,plain,
theorem(implies(implies(sP1_iProver_def,or(X0,sP2_iProver_def)),or(X0,sP3_iProver_def))),
inference(superposition,[status(thm)],[c_171,c_83043]) ).
cnf(c_83129,plain,
( ~ theorem(implies(sP1_iProver_def,or(X0,sP2_iProver_def)))
| theorem(or(X0,sP3_iProver_def)) ),
inference(superposition,[status(thm)],[c_83049,c_57]) ).
cnf(c_83330,plain,
( ~ theorem(or(X0,sP2_iProver_def))
| theorem(or(X0,sP3_iProver_def)) ),
inference(superposition,[status(thm)],[c_82839,c_83129]) ).
cnf(c_83371,plain,
( ~ theorem(implies(X0,sP2_iProver_def))
| theorem(or(not(X0),sP3_iProver_def)) ),
inference(superposition,[status(thm)],[c_55,c_83330]) ).
cnf(c_83399,plain,
( ~ theorem(implies(X0,sP2_iProver_def))
| theorem(implies(X0,sP3_iProver_def)) ),
inference(demodulation,[status(thm)],[c_83371,c_55]) ).
cnf(c_83407,plain,
theorem(implies(or(p,r),sP3_iProver_def)),
inference(superposition,[status(thm)],[c_82811,c_83399]) ).
cnf(c_83698,plain,
theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(superposition,[status(thm)],[c_55,c_129]) ).
cnf(c_83781,plain,
theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(demodulation,[status(thm)],[c_83698,c_55]) ).
cnf(c_83791,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(implies(X2,X0),implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_83781,c_57]) ).
cnf(c_83880,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(implies(X2,X0))
| theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_83791,c_57]) ).
cnf(c_86289,plain,
( ~ theorem(implies(X0,or(p,r)))
| theorem(implies(X0,sP3_iProver_def)) ),
inference(superposition,[status(thm)],[c_83407,c_83880]) ).
cnf(c_89514,plain,
theorem(implies(r,sP3_iProver_def)),
inference(superposition,[status(thm)],[c_111,c_86289]) ).
cnf(c_104834,plain,
( ~ theorem(or(sP3_iProver_def,q))
| theorem(or(sP4_iProver_def,implies(sP0_iProver_def,r))) ),
inference(superposition,[status(thm)],[c_7331,c_4378]) ).
cnf(c_104864,plain,
theorem(or(sP4_iProver_def,implies(sP0_iProver_def,r))),
inference(forward_subsumption_resolution,[status(thm)],[c_104834,c_2425]) ).
cnf(c_104919,plain,
( ~ theorem(implies(r,sP3_iProver_def))
| theorem(or(sP4_iProver_def,sP4_iProver_def)) ),
inference(superposition,[status(thm)],[c_104864,c_7300]) ).
cnf(c_104920,plain,
~ theorem(implies(r,sP3_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_104919,c_6439]) ).
cnf(c_104923,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_104920,c_89514]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL195-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n020.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 19:07:46 EDT 2024
% 0.12/0.34 % 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
% 43.39/6.77 % SZS status Started for theBenchmark.p
% 43.39/6.77 % SZS status Unsatisfiable for theBenchmark.p
% 43.39/6.77
% 43.39/6.77 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 43.39/6.77
% 43.39/6.77 ------ iProver source info
% 43.39/6.77
% 43.39/6.77 git: date: 2024-05-02 19:28:25 +0000
% 43.39/6.77 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 43.39/6.77 git: non_committed_changes: false
% 43.39/6.77
% 43.39/6.77 ------ Parsing...successful
% 43.39/6.77
% 43.39/6.77
% 43.39/6.77
% 43.39/6.77 ------ 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
% 43.39/6.77
% 43.39/6.77 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 43.39/6.77
% 43.39/6.77 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 43.39/6.77 ------ Proving...
% 43.39/6.77 ------ Problem Properties
% 43.39/6.77
% 43.39/6.77
% 43.39/6.77 clauses 13
% 43.39/6.77 conjectures 1
% 43.39/6.77 EPR 1
% 43.39/6.77 Horn 13
% 43.39/6.77 unary 12
% 43.39/6.77 binary 0
% 43.39/6.77 lits 15
% 43.39/6.77 lits eq 6
% 43.39/6.77 fd_pure 0
% 43.39/6.77 fd_pseudo 0
% 43.39/6.77 fd_cond 0
% 43.39/6.77 fd_pseudo_cond 0
% 43.39/6.77 AC symbols 0
% 43.39/6.77
% 43.39/6.77 ------ Schedule dynamic 5 is on
% 43.39/6.77
% 43.39/6.77 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 43.39/6.77
% 43.39/6.77
% 43.39/6.77 ------
% 43.39/6.77 Current options:
% 43.39/6.77 ------
% 43.39/6.77
% 43.39/6.77
% 43.39/6.77
% 43.39/6.77
% 43.39/6.77 ------ Proving...
% 43.39/6.77
% 43.39/6.77
% 43.39/6.77 % SZS status Unsatisfiable for theBenchmark.p
% 43.39/6.77
% 43.39/6.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 43.39/6.77
% 43.39/6.78
%------------------------------------------------------------------------------