TSTP Solution File: LCL248-3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL248-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 02:37:27 EDT 2024
% Result : Unsatisfiable 55.23s 8.28s
% Output : CNFRefutation 55.23s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ theorem(implies(and(p,q),implies(p,q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_50,plain,
not(or(not(X0),not(X1))) = and(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-1.ax',and_defn) ).
cnf(c_51,plain,
axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(c_52,plain,
axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(c_53,plain,
axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
cnf(c_54,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_55,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_56,plain,
or(not(X0),X1) = implies(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(c_57,plain,
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(c_58,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(X0)
| theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(c_101,plain,
not(implies(X0,not(X1))) = and(X0,X1),
inference(demodulation,[status(thm)],[c_50,c_56]) ).
cnf(c_112,plain,
( implies(or(X0,X0),X0) != X1
| theorem(X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_57]) ).
cnf(c_113,plain,
theorem(implies(or(X0,X0),X0)),
inference(unflattening,[status(thm)],[c_112]) ).
cnf(c_118,plain,
( implies(X0,or(X1,X0)) != X2
| theorem(X2) ),
inference(resolution_lifted,[status(thm)],[c_52,c_57]) ).
cnf(c_119,plain,
theorem(implies(X0,or(X1,X0))),
inference(unflattening,[status(thm)],[c_118]) ).
cnf(c_124,plain,
( implies(or(X0,X1),or(X1,X0)) != X2
| theorem(X2) ),
inference(resolution_lifted,[status(thm)],[c_53,c_57]) ).
cnf(c_125,plain,
theorem(implies(or(X0,X1),or(X1,X0))),
inference(unflattening,[status(thm)],[c_124]) ).
cnf(c_130,plain,
( implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))) != X3
| theorem(X3) ),
inference(resolution_lifted,[status(thm)],[c_54,c_57]) ).
cnf(c_131,plain,
theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(unflattening,[status(thm)],[c_130]) ).
cnf(c_136,plain,
( implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))) != X3
| theorem(X3) ),
inference(resolution_lifted,[status(thm)],[c_55,c_57]) ).
cnf(c_137,plain,
theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(unflattening,[status(thm)],[c_136]) ).
cnf(c_180,plain,
and(p,q) = sP0_iProver_def,
definition ).
cnf(c_181,plain,
implies(p,q) = sP1_iProver_def,
definition ).
cnf(c_182,plain,
implies(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_183,negated_conjecture,
~ theorem(sP2_iProver_def),
inference(demodulation,[status(thm)],[c_49,c_181,c_180,c_182]) ).
cnf(c_329,plain,
theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(superposition,[status(thm)],[c_56,c_125]) ).
cnf(c_336,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[status(thm)],[c_56,c_131]) ).
cnf(c_337,plain,
theorem(implies(or(X0,implies(X1,X2)),or(not(X1),or(X0,X2)))),
inference(superposition,[status(thm)],[c_56,c_131]) ).
cnf(c_348,plain,
( ~ theorem(X0)
| theorem(or(X1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_58]) ).
cnf(c_349,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X1,X0)) ),
inference(superposition,[status(thm)],[c_125,c_58]) ).
cnf(c_350,plain,
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,X2))) ),
inference(superposition,[status(thm)],[c_131,c_58]) ).
cnf(c_367,plain,
implies(implies(X0,not(X1)),X2) = or(and(X0,X1),X2),
inference(superposition,[status(thm)],[c_101,c_56]) ).
cnf(c_417,plain,
theorem(implies(or(sP1_iProver_def,not(sP0_iProver_def)),sP2_iProver_def)),
inference(superposition,[status(thm)],[c_182,c_329]) ).
cnf(c_441,plain,
theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(superposition,[status(thm)],[c_56,c_137]) ).
cnf(c_443,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(or(X2,X0),or(X2,X1))) ),
inference(superposition,[status(thm)],[c_137,c_58]) ).
cnf(c_573,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(demodulation,[status(thm)],[c_336,c_56]) ).
cnf(c_574,plain,
theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))),
inference(superposition,[status(thm)],[c_56,c_573]) ).
cnf(c_576,plain,
theorem(implies(implies(p,or(X0,q)),or(X0,sP1_iProver_def))),
inference(superposition,[status(thm)],[c_181,c_573]) ).
cnf(c_578,plain,
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(or(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_573,c_58]) ).
cnf(c_650,plain,
theorem(implies(implies(p,implies(X0,q)),or(not(X0),sP1_iProver_def))),
inference(superposition,[status(thm)],[c_56,c_576]) ).
cnf(c_721,plain,
theorem(implies(implies(p,implies(X0,q)),implies(X0,sP1_iProver_def))),
inference(demodulation,[status(thm)],[c_650,c_56]) ).
cnf(c_728,plain,
theorem(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),
inference(demodulation,[status(thm)],[c_337,c_56]) ).
cnf(c_733,plain,
( ~ theorem(or(X0,implies(X1,X2)))
| theorem(implies(X1,or(X0,X2))) ),
inference(superposition,[status(thm)],[c_728,c_58]) ).
cnf(c_1107,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,X1))) ),
inference(superposition,[status(thm)],[c_348,c_350]) ).
cnf(c_1187,plain,
theorem(implies(or(and(X0,X1),X2),implies(or(X3,implies(X0,not(X1))),or(X3,X2)))),
inference(superposition,[status(thm)],[c_367,c_137]) ).
cnf(c_1402,plain,
theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(demodulation,[status(thm)],[c_441,c_56]) ).
cnf(c_1414,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(implies(X2,X0),implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_1402,c_58]) ).
cnf(c_1937,plain,
( ~ theorem(or(not(X0),X1))
| theorem(implies(X0,or(X2,X1))) ),
inference(superposition,[status(thm)],[c_56,c_1107]) ).
cnf(c_1938,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X0,implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_56,c_1107]) ).
cnf(c_1950,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(X0,or(X2,X1))) ),
inference(light_normalisation,[status(thm)],[c_1937,c_56]) ).
cnf(c_2016,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(or(X2,X0))
| theorem(or(X2,X1)) ),
inference(superposition,[status(thm)],[c_443,c_58]) ).
cnf(c_2489,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(X0)
| theorem(or(X2,X1)) ),
inference(superposition,[status(thm)],[c_1950,c_58]) ).
cnf(c_2820,plain,
( ~ theorem(implies(p,implies(X0,q)))
| theorem(or(X1,implies(X0,sP1_iProver_def))) ),
inference(superposition,[status(thm)],[c_721,c_2489]) ).
cnf(c_3228,plain,
theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(demodulation,[status(thm)],[c_574,c_56]) ).
cnf(c_3238,plain,
( ~ theorem(implies(X0,implies(X1,X2)))
| theorem(implies(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_3228,c_58]) ).
cnf(c_4039,plain,
theorem(or(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_119,c_578]) ).
cnf(c_4040,plain,
theorem(or(X0,implies(or(X1,X0),X1))),
inference(superposition,[status(thm)],[c_125,c_578]) ).
cnf(c_4150,plain,
theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_56,c_4039]) ).
cnf(c_5240,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(X2,implies(implies(X2,X0),X1))) ),
inference(superposition,[status(thm)],[c_1414,c_3238]) ).
cnf(c_6122,plain,
theorem(or(implies(or(X0,X1),X0),X1)),
inference(superposition,[status(thm)],[c_4040,c_349]) ).
cnf(c_6310,plain,
theorem(implies(or(sP0_iProver_def,X0),implies(or(X1,implies(p,not(q))),or(X1,X0)))),
inference(superposition,[status(thm)],[c_180,c_1187]) ).
cnf(c_6399,plain,
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_113,c_2016]) ).
cnf(c_16799,plain,
( ~ theorem(or(sP0_iProver_def,X0))
| theorem(implies(or(X1,implies(p,not(q))),or(X1,X0))) ),
inference(superposition,[status(thm)],[c_6310,c_58]) ).
cnf(c_42284,plain,
theorem(or(X0,implies(q,sP1_iProver_def))),
inference(superposition,[status(thm)],[c_4150,c_2820]) ).
cnf(c_42324,plain,
theorem(implies(q,or(X0,sP1_iProver_def))),
inference(superposition,[status(thm)],[c_42284,c_733]) ).
cnf(c_43974,plain,
theorem(or(implies(or(X0,or(X1,X1)),X0),X1)),
inference(superposition,[status(thm)],[c_6122,c_6399]) ).
cnf(c_44016,plain,
theorem(or(X0,implies(or(X1,or(X0,X0)),X1))),
inference(superposition,[status(thm)],[c_43974,c_349]) ).
cnf(c_52042,plain,
theorem(implies(or(X0,or(X1,X1)),or(X1,X0))),
inference(superposition,[status(thm)],[c_44016,c_733]) ).
cnf(c_67501,plain,
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X1,X0)) ),
inference(superposition,[status(thm)],[c_52042,c_58]) ).
cnf(c_67905,plain,
( ~ theorem(implies(X0,or(X1,X1)))
| theorem(or(X1,not(X0))) ),
inference(superposition,[status(thm)],[c_56,c_67501]) ).
cnf(c_68365,plain,
theorem(or(X0,not(X0))),
inference(superposition,[status(thm)],[c_119,c_67905]) ).
cnf(c_68411,plain,
theorem(or(sP1_iProver_def,not(q))),
inference(superposition,[status(thm)],[c_42324,c_67905]) ).
cnf(c_122023,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(X2)
| theorem(implies(implies(X2,X0),X1)) ),
inference(superposition,[status(thm)],[c_5240,c_58]) ).
cnf(c_122588,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(implies(X2,X0))
| ~ theorem(X2)
| theorem(X1) ),
inference(superposition,[status(thm)],[c_122023,c_58]) ).
cnf(c_123513,plain,
( ~ theorem(implies(X0,or(sP1_iProver_def,not(sP0_iProver_def))))
| ~ theorem(X0)
| theorem(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_417,c_122588]) ).
cnf(c_123888,plain,
( ~ theorem(implies(X0,or(sP1_iProver_def,not(sP0_iProver_def))))
| ~ theorem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123513,c_183]) ).
cnf(c_126994,plain,
( ~ theorem(or(sP1_iProver_def,implies(p,not(q))))
| ~ theorem(or(sP0_iProver_def,not(sP0_iProver_def))) ),
inference(superposition,[status(thm)],[c_16799,c_123888]) ).
cnf(c_127018,plain,
~ theorem(or(sP1_iProver_def,implies(p,not(q)))),
inference(forward_subsumption_resolution,[status(thm)],[c_126994,c_68365]) ).
cnf(c_129609,plain,
~ theorem(or(sP1_iProver_def,not(q))),
inference(superposition,[status(thm)],[c_1938,c_127018]) ).
cnf(c_129613,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_129609,c_68411]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL248-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n019.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 19:09:14 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 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
% 55.23/8.28 % SZS status Started for theBenchmark.p
% 55.23/8.28 % SZS status Unsatisfiable for theBenchmark.p
% 55.23/8.28
% 55.23/8.28 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 55.23/8.28
% 55.23/8.28 ------ iProver source info
% 55.23/8.28
% 55.23/8.28 git: date: 2024-05-02 19:28:25 +0000
% 55.23/8.28 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 55.23/8.28 git: non_committed_changes: false
% 55.23/8.28
% 55.23/8.28 ------ Parsing...successful
% 55.23/8.28
% 55.23/8.28
% 55.23/8.28
% 55.23/8.28 ------ Preprocessing... sup_sim: 1 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
% 55.23/8.28
% 55.23/8.28 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 55.23/8.28
% 55.23/8.28 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 55.23/8.28 ------ Proving...
% 55.23/8.28 ------ Problem Properties
% 55.23/8.28
% 55.23/8.28
% 55.23/8.28 clauses 12
% 55.23/8.28 conjectures 1
% 55.23/8.28 EPR 1
% 55.23/8.28 Horn 12
% 55.23/8.28 unary 11
% 55.23/8.28 binary 0
% 55.23/8.28 lits 14
% 55.23/8.28 lits eq 5
% 55.23/8.28 fd_pure 0
% 55.23/8.28 fd_pseudo 0
% 55.23/8.28 fd_cond 0
% 55.23/8.28 fd_pseudo_cond 0
% 55.23/8.28 AC symbols 0
% 55.23/8.28
% 55.23/8.28 ------ Schedule dynamic 5 is on
% 55.23/8.28
% 55.23/8.28 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 55.23/8.28
% 55.23/8.28
% 55.23/8.28 ------
% 55.23/8.28 Current options:
% 55.23/8.28 ------
% 55.23/8.28
% 55.23/8.28
% 55.23/8.28
% 55.23/8.28
% 55.23/8.28 ------ Proving...
% 55.23/8.28
% 55.23/8.28
% 55.23/8.28 % SZS status Unsatisfiable for theBenchmark.p
% 55.23/8.28
% 55.23/8.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 55.23/8.28
% 55.23/8.29
%------------------------------------------------------------------------------