TSTP Solution File: LCL213-3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL213-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 02:37:17 EDT 2024
% Result : Unsatisfiable 8.08s 1.69s
% Output : CNFRefutation 8.08s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ theorem(implies(implies(p,q),implies(implies(not(p),q),q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c_50,plain,
axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
cnf(c_51,plain,
axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
cnf(c_52,plain,
axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
cnf(c_55,plain,
or(not(X0),X1) = implies(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
cnf(c_56,plain,
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
cnf(c_57,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(X0)
| theorem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
cnf(c_105,plain,
( implies(or(X0,X0),X0) != X1
| theorem(X1) ),
inference(resolution_lifted,[status(thm)],[c_50,c_56]) ).
cnf(c_106,plain,
theorem(implies(or(X0,X0),X0)),
inference(unflattening,[status(thm)],[c_105]) ).
cnf(c_111,plain,
( implies(X0,or(X1,X0)) != X2
| theorem(X2) ),
inference(resolution_lifted,[status(thm)],[c_51,c_56]) ).
cnf(c_112,plain,
theorem(implies(X0,or(X1,X0))),
inference(unflattening,[status(thm)],[c_111]) ).
cnf(c_117,plain,
( implies(or(X0,X1),or(X1,X0)) != X2
| theorem(X2) ),
inference(resolution_lifted,[status(thm)],[c_52,c_56]) ).
cnf(c_118,plain,
theorem(implies(or(X0,X1),or(X1,X0))),
inference(unflattening,[status(thm)],[c_117]) ).
cnf(c_123,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_124,plain,
theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(unflattening,[status(thm)],[c_123]) ).
cnf(c_129,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_130,plain,
theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(unflattening,[status(thm)],[c_129]) ).
cnf(c_170,plain,
implies(p,q) = sP0_iProver_def,
definition ).
cnf(c_171,plain,
not(p) = sP1_iProver_def,
definition ).
cnf(c_172,plain,
implies(sP1_iProver_def,q) = sP2_iProver_def,
definition ).
cnf(c_173,plain,
implies(sP2_iProver_def,q) = sP3_iProver_def,
definition ).
cnf(c_174,plain,
implies(sP0_iProver_def,sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_175,negated_conjecture,
~ theorem(sP4_iProver_def),
inference(demodulation,[status(thm)],[c_49,c_171,c_172,c_173,c_170,c_174]) ).
cnf(c_310,plain,
implies(p,X0) = or(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_171,c_55]) ).
cnf(c_313,plain,
theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_55,c_112]) ).
cnf(c_323,plain,
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(superposition,[status(thm)],[c_106,c_57]) ).
cnf(c_325,plain,
( ~ theorem(or(X0,X1))
| theorem(or(X1,X0)) ),
inference(superposition,[status(thm)],[c_118,c_57]) ).
cnf(c_349,plain,
theorem(implies(q,sP3_iProver_def)),
inference(superposition,[status(thm)],[c_173,c_313]) ).
cnf(c_351,plain,
( ~ theorem(X0)
| theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_313,c_57]) ).
cnf(c_400,plain,
theorem(implies(implies(p,X0),or(X0,sP1_iProver_def))),
inference(superposition,[status(thm)],[c_310,c_118]) ).
cnf(c_416,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[status(thm)],[c_55,c_124]) ).
cnf(c_418,plain,
theorem(implies(or(X0,implies(X1,X2)),or(not(X1),or(X0,X2)))),
inference(superposition,[status(thm)],[c_55,c_124]) ).
cnf(c_498,plain,
( ~ theorem(implies(p,X0))
| theorem(or(X0,sP1_iProver_def)) ),
inference(superposition,[status(thm)],[c_400,c_57]) ).
cnf(c_556,plain,
theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(superposition,[status(thm)],[c_55,c_130]) ).
cnf(c_560,plain,
( ~ theorem(implies(X0,X1))
| theorem(implies(or(X2,X0),or(X2,X1))) ),
inference(superposition,[status(thm)],[c_130,c_57]) ).
cnf(c_805,plain,
theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(demodulation,[status(thm)],[c_416,c_55]) ).
cnf(c_806,plain,
theorem(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))),
inference(superposition,[status(thm)],[c_55,c_805]) ).
cnf(c_812,plain,
theorem(implies(implies(sP2_iProver_def,or(X0,q)),or(X0,sP3_iProver_def))),
inference(superposition,[status(thm)],[c_173,c_805]) ).
cnf(c_813,plain,
theorem(implies(implies(sP0_iProver_def,or(X0,sP3_iProver_def)),or(X0,sP4_iProver_def))),
inference(superposition,[status(thm)],[c_174,c_805]) ).
cnf(c_814,plain,
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(or(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_805,c_57]) ).
cnf(c_1055,plain,
theorem(implies(implies(sP2_iProver_def,implies(X0,q)),or(not(X0),sP3_iProver_def))),
inference(superposition,[status(thm)],[c_55,c_812]) ).
cnf(c_1109,plain,
theorem(implies(implies(sP0_iProver_def,implies(p,sP3_iProver_def)),or(sP1_iProver_def,sP4_iProver_def))),
inference(superposition,[status(thm)],[c_310,c_813]) ).
cnf(c_1112,plain,
( ~ theorem(implies(sP0_iProver_def,or(X0,sP3_iProver_def)))
| theorem(or(X0,sP4_iProver_def)) ),
inference(superposition,[status(thm)],[c_813,c_57]) ).
cnf(c_1259,plain,
theorem(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),
inference(demodulation,[status(thm)],[c_418,c_55]) ).
cnf(c_1268,plain,
( ~ theorem(or(X0,implies(X1,X2)))
| theorem(implies(X1,or(X0,X2))) ),
inference(superposition,[status(thm)],[c_1259,c_57]) ).
cnf(c_1630,plain,
theorem(implies(implies(sP0_iProver_def,implies(p,sP3_iProver_def)),implies(p,sP4_iProver_def))),
inference(demodulation,[status(thm)],[c_1109,c_310]) ).
cnf(c_1631,plain,
( ~ theorem(implies(sP0_iProver_def,implies(p,sP3_iProver_def)))
| theorem(implies(p,sP4_iProver_def)) ),
inference(superposition,[status(thm)],[c_1630,c_57]) ).
cnf(c_2035,plain,
theorem(implies(implies(sP2_iProver_def,implies(X0,q)),implies(X0,sP3_iProver_def))),
inference(demodulation,[status(thm)],[c_1055,c_55]) ).
cnf(c_2037,plain,
theorem(implies(implies(sP2_iProver_def,sP2_iProver_def),implies(sP1_iProver_def,sP3_iProver_def))),
inference(superposition,[status(thm)],[c_172,c_2035]) ).
cnf(c_2055,plain,
( ~ theorem(implies(sP2_iProver_def,sP2_iProver_def))
| theorem(implies(sP1_iProver_def,sP3_iProver_def)) ),
inference(superposition,[status(thm)],[c_2037,c_57]) ).
cnf(c_2179,plain,
theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(demodulation,[status(thm)],[c_556,c_55]) ).
cnf(c_2184,plain,
theorem(implies(implies(q,X0),implies(sP0_iProver_def,implies(p,X0)))),
inference(superposition,[status(thm)],[c_170,c_2179]) ).
cnf(c_2191,plain,
theorem(implies(implies(X0,sP3_iProver_def),implies(implies(sP0_iProver_def,X0),sP4_iProver_def))),
inference(superposition,[status(thm)],[c_174,c_2179]) ).
cnf(c_2414,plain,
( ~ theorem(implies(q,X0))
| theorem(implies(sP0_iProver_def,implies(p,X0))) ),
inference(superposition,[status(thm)],[c_2184,c_57]) ).
cnf(c_2572,plain,
( ~ theorem(implies(X0,X1))
| ~ theorem(or(X2,X0))
| theorem(or(X2,X1)) ),
inference(superposition,[status(thm)],[c_560,c_57]) ).
cnf(c_2674,plain,
( ~ theorem(implies(X0,sP3_iProver_def))
| theorem(implies(implies(sP0_iProver_def,X0),sP4_iProver_def)) ),
inference(superposition,[status(thm)],[c_2191,c_57]) ).
cnf(c_2875,plain,
theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(demodulation,[status(thm)],[c_806,c_55]) ).
cnf(c_2879,plain,
theorem(implies(implies(X0,sP4_iProver_def),implies(sP0_iProver_def,implies(X0,sP3_iProver_def)))),
inference(superposition,[status(thm)],[c_174,c_2875]) ).
cnf(c_2953,plain,
( ~ theorem(implies(X0,sP4_iProver_def))
| theorem(implies(sP0_iProver_def,implies(X0,sP3_iProver_def))) ),
inference(superposition,[status(thm)],[c_2879,c_57]) ).
cnf(c_2963,plain,
( ~ theorem(or(X0,sP3_iProver_def))
| theorem(or(X0,sP4_iProver_def)) ),
inference(superposition,[status(thm)],[c_351,c_1112]) ).
cnf(c_3287,plain,
theorem(or(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_112,c_814]) ).
cnf(c_3288,plain,
theorem(or(X0,implies(or(X1,X0),X1))),
inference(superposition,[status(thm)],[c_118,c_814]) ).
cnf(c_3491,plain,
( ~ theorem(implies(q,sP3_iProver_def))
| theorem(implies(p,sP4_iProver_def)) ),
inference(superposition,[status(thm)],[c_2414,c_1631]) ).
cnf(c_3492,plain,
theorem(implies(p,sP4_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_3491,c_349]) ).
cnf(c_3499,plain,
theorem(or(sP4_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_3492,c_498]) ).
cnf(c_3506,plain,
theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_3287,c_323]) ).
cnf(c_3508,plain,
theorem(implies(sP1_iProver_def,sP3_iProver_def)),
inference(backward_subsumption_resolution,[status(thm)],[c_2055,c_3506]) ).
cnf(c_3513,plain,
theorem(or(X0,implies(or(X0,X1),X1))),
inference(superposition,[status(thm)],[c_3506,c_814]) ).
cnf(c_3715,plain,
( ~ theorem(implies(X0,sP3_iProver_def))
| ~ theorem(implies(sP0_iProver_def,X0))
| theorem(sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_2674,c_57]) ).
cnf(c_3716,plain,
( ~ theorem(implies(X0,sP3_iProver_def))
| ~ theorem(implies(sP0_iProver_def,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3715,c_175]) ).
cnf(c_4901,plain,
theorem(or(implies(or(X0,X1),X0),X1)),
inference(superposition,[status(thm)],[c_3288,c_325]) ).
cnf(c_4917,plain,
theorem(implies(X0,implies(or(not(X0),X1),X1))),
inference(superposition,[status(thm)],[c_55,c_3513]) ).
cnf(c_4924,plain,
theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(light_normalisation,[status(thm)],[c_4917,c_55]) ).
cnf(c_4996,plain,
( ~ theorem(X0)
| theorem(implies(implies(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_4924,c_57]) ).
cnf(c_5128,plain,
theorem(or(implies(or(X0,sP3_iProver_def),X0),sP4_iProver_def)),
inference(superposition,[status(thm)],[c_4901,c_2963]) ).
cnf(c_5267,plain,
( ~ theorem(implies(sP0_iProver_def,implies(X0,sP3_iProver_def)))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_4996,c_3716]) ).
cnf(c_5414,plain,
( ~ theorem(implies(X0,sP4_iProver_def))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_2953,c_5267]) ).
cnf(c_5456,plain,
~ theorem(or(sP4_iProver_def,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_106,c_5414]) ).
cnf(c_5746,plain,
theorem(or(sP4_iProver_def,implies(or(X0,sP3_iProver_def),X0))),
inference(superposition,[status(thm)],[c_5128,c_325]) ).
cnf(c_6279,plain,
theorem(implies(or(X0,sP3_iProver_def),or(sP4_iProver_def,X0))),
inference(superposition,[status(thm)],[c_5746,c_1268]) ).
cnf(c_7070,plain,
( ~ theorem(or(X0,sP3_iProver_def))
| theorem(or(sP4_iProver_def,X0)) ),
inference(superposition,[status(thm)],[c_6279,c_57]) ).
cnf(c_7186,plain,
( ~ theorem(or(X0,sP1_iProver_def))
| theorem(or(X0,sP3_iProver_def)) ),
inference(superposition,[status(thm)],[c_3508,c_2572]) ).
cnf(c_11416,plain,
theorem(or(sP4_iProver_def,sP3_iProver_def)),
inference(superposition,[status(thm)],[c_3499,c_7186]) ).
cnf(c_11523,plain,
theorem(or(sP4_iProver_def,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_11416,c_7070]) ).
cnf(c_11525,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11523,c_5456]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL213-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 19:23:20 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 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
% 8.08/1.69 % SZS status Started for theBenchmark.p
% 8.08/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 8.08/1.69
% 8.08/1.69 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.08/1.69
% 8.08/1.69 ------ iProver source info
% 8.08/1.69
% 8.08/1.69 git: date: 2024-05-02 19:28:25 +0000
% 8.08/1.69 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.08/1.69 git: non_committed_changes: false
% 8.08/1.69
% 8.08/1.69 ------ Parsing...successful
% 8.08/1.69
% 8.08/1.69
% 8.08/1.69
% 8.08/1.69 ------ 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
% 8.08/1.69
% 8.08/1.69 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.08/1.69
% 8.08/1.69 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.08/1.69 ------ Proving...
% 8.08/1.69 ------ Problem Properties
% 8.08/1.69
% 8.08/1.69
% 8.08/1.69 clauses 13
% 8.08/1.69 conjectures 1
% 8.08/1.69 EPR 1
% 8.08/1.69 Horn 13
% 8.08/1.69 unary 12
% 8.08/1.69 binary 0
% 8.08/1.69 lits 15
% 8.08/1.69 lits eq 6
% 8.08/1.69 fd_pure 0
% 8.08/1.69 fd_pseudo 0
% 8.08/1.69 fd_cond 0
% 8.08/1.69 fd_pseudo_cond 0
% 8.08/1.69 AC symbols 0
% 8.08/1.69
% 8.08/1.69 ------ Schedule dynamic 5 is on
% 8.08/1.69
% 8.08/1.69 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.08/1.69
% 8.08/1.69
% 8.08/1.69 ------
% 8.08/1.69 Current options:
% 8.08/1.69 ------
% 8.08/1.69
% 8.08/1.69
% 8.08/1.69
% 8.08/1.69
% 8.08/1.69 ------ Proving...
% 8.08/1.69
% 8.08/1.69
% 8.08/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 8.08/1.69
% 8.08/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.08/1.69
% 8.08/1.69
%------------------------------------------------------------------------------