TSTP Solution File: SET843-2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET843-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 03:01:45 EDT 2024
% Result : Unsatisfiable 2.32s 1.11s
% Output : CNFRefutation 2.32s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ c_in(X0,X1,tc_set(X2))
| c_lessequals(X0,c_Union(X1,X2),tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).
cnf(c_50,plain,
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
cnf(c_51,plain,
c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
cnf(c_52,plain,
c_lessequals(X0,c_Zorn_Osucc(X1,X0,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
cnf(c_53,plain,
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Osucc(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).
cnf(c_54,plain,
( ~ c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2))))
| c_in(c_Union(X0,tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
cnf(c_55,plain,
( c_Zorn_Osucc(X0,X1,X2) != X1
| ~ c_in(X1,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X0,X2),tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_0) ).
cnf(c_56,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_57,negated_conjecture,
( c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != v_m
| c_Zorn_Osucc(v_S,v_m,t_a) != v_m ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_58,negated_conjecture,
( c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = v_m
| c_Zorn_Osucc(v_S,v_m,t_a) = v_m ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_185,plain,
c_Zorn_OTFin(v_S,t_a) = sP0_iProver_def,
definition ).
cnf(c_186,plain,
tc_set(t_a) = sP1_iProver_def,
definition ).
cnf(c_187,plain,
c_Union(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_188,plain,
c_Zorn_Osucc(v_S,v_m,t_a) = sP3_iProver_def,
definition ).
cnf(c_189,plain,
tc_set(sP1_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_190,negated_conjecture,
( sP2_iProver_def = v_m
| sP3_iProver_def = v_m ),
inference(demodulation,[status(thm)],[c_58,c_188,c_186,c_185,c_187]) ).
cnf(c_191,negated_conjecture,
( sP2_iProver_def != v_m
| sP3_iProver_def != v_m ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_192,negated_conjecture,
c_in(v_m,sP0_iProver_def,sP4_iProver_def),
inference(demodulation,[status(thm)],[c_56,c_189]) ).
cnf(c_563,plain,
c_lessequals(v_m,sP3_iProver_def,tc_set(tc_set(t_a))),
inference(superposition,[status(thm)],[c_188,c_52]) ).
cnf(c_566,plain,
c_lessequals(v_m,sP3_iProver_def,sP4_iProver_def),
inference(light_normalisation,[status(thm)],[c_563,c_186,c_189]) ).
cnf(c_583,plain,
( ~ c_in(X0,sP0_iProver_def,tc_set(sP1_iProver_def))
| c_lessequals(X0,sP2_iProver_def,tc_set(sP1_iProver_def)) ),
inference(superposition,[status(thm)],[c_187,c_49]) ).
cnf(c_586,plain,
( ~ c_in(X0,sP0_iProver_def,sP4_iProver_def)
| c_lessequals(X0,sP2_iProver_def,sP4_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_583,c_189]) ).
cnf(c_602,plain,
c_lessequals(v_m,sP2_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_192,c_586]) ).
cnf(c_631,plain,
( ~ c_lessequals(X0,X1,tc_set(sP1_iProver_def))
| ~ c_lessequals(X1,X0,sP4_iProver_def)
| X0 = X1 ),
inference(superposition,[status(thm)],[c_189,c_50]) ).
cnf(c_632,plain,
( ~ c_lessequals(X0,X1,sP4_iProver_def)
| ~ c_lessequals(X1,X0,sP4_iProver_def)
| X0 = X1 ),
inference(light_normalisation,[status(thm)],[c_631,c_189]) ).
cnf(c_654,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(sP3_iProver_def,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_188,c_53]) ).
cnf(c_659,plain,
( ~ c_in(v_m,sP0_iProver_def,sP4_iProver_def)
| c_in(sP3_iProver_def,sP0_iProver_def,sP4_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_654,c_185,c_186,c_189]) ).
cnf(c_660,plain,
c_in(sP3_iProver_def,sP0_iProver_def,sP4_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_659,c_192]) ).
cnf(c_679,plain,
( ~ c_lessequals(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
| c_in(c_Union(X0,tc_set(t_a)),sP0_iProver_def,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_185,c_54]) ).
cnf(c_688,plain,
( ~ c_lessequals(X0,sP0_iProver_def,tc_set(sP4_iProver_def))
| c_in(c_Union(X0,sP1_iProver_def),sP0_iProver_def,sP4_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_679,c_185,c_186,c_189]) ).
cnf(c_704,plain,
( v_m != sP3_iProver_def
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_188,c_55]) ).
cnf(c_711,plain,
( v_m != sP3_iProver_def
| ~ c_in(X0,sP0_iProver_def,sP4_iProver_def)
| ~ c_in(v_m,sP0_iProver_def,sP4_iProver_def)
| c_lessequals(X0,v_m,sP4_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_704,c_185,c_186,c_189]) ).
cnf(c_712,plain,
( v_m != sP3_iProver_def
| ~ c_in(X0,sP0_iProver_def,sP4_iProver_def)
| c_lessequals(X0,v_m,sP4_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_711,c_192]) ).
cnf(c_722,plain,
c_lessequals(sP3_iProver_def,sP2_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_660,c_586]) ).
cnf(c_741,plain,
( ~ c_lessequals(sP0_iProver_def,sP0_iProver_def,tc_set(sP4_iProver_def))
| c_in(sP2_iProver_def,sP0_iProver_def,sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_187,c_688]) ).
cnf(c_743,plain,
c_in(sP2_iProver_def,sP0_iProver_def,sP4_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_741,c_51]) ).
cnf(c_764,plain,
( ~ c_in(X0,sP0_iProver_def,sP4_iProver_def)
| v_m = sP2_iProver_def
| c_lessequals(X0,v_m,sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_190,c_712]) ).
cnf(c_779,plain,
( v_m = sP2_iProver_def
| c_lessequals(sP2_iProver_def,v_m,sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_743,c_764]) ).
cnf(c_864,plain,
( ~ c_lessequals(sP2_iProver_def,sP3_iProver_def,sP4_iProver_def)
| sP2_iProver_def = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_722,c_632]) ).
cnf(c_869,plain,
( ~ c_lessequals(v_m,sP2_iProver_def,sP4_iProver_def)
| v_m = sP2_iProver_def ),
inference(superposition,[status(thm)],[c_779,c_632]) ).
cnf(c_872,plain,
v_m = sP2_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_869,c_602]) ).
cnf(c_887,plain,
c_lessequals(sP2_iProver_def,sP3_iProver_def,sP4_iProver_def),
inference(demodulation,[status(thm)],[c_566,c_872]) ).
cnf(c_889,plain,
( sP2_iProver_def != sP2_iProver_def
| sP2_iProver_def != sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_191,c_872]) ).
cnf(c_892,plain,
sP2_iProver_def != sP3_iProver_def,
inference(equality_resolution_simp,[status(thm)],[c_889]) ).
cnf(c_893,plain,
~ c_lessequals(sP2_iProver_def,sP3_iProver_def,sP4_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_864,c_892]) ).
cnf(c_894,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_887,c_893]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET843-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n027.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu May 2 21:05:20 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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
% 2.32/1.11 % SZS status Started for theBenchmark.p
% 2.32/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 2.32/1.11
% 2.32/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.32/1.11
% 2.32/1.11 ------ iProver source info
% 2.32/1.11
% 2.32/1.11 git: date: 2024-05-02 19:28:25 +0000
% 2.32/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.32/1.11 git: non_committed_changes: false
% 2.32/1.11
% 2.32/1.11 ------ Parsing...successful
% 2.32/1.11
% 2.32/1.11
% 2.32/1.11
% 2.32/1.11 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.32/1.11
% 2.32/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.32/1.11
% 2.32/1.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.32/1.11 ------ Proving...
% 2.32/1.11 ------ Problem Properties
% 2.32/1.11
% 2.32/1.11
% 2.32/1.11 clauses 15
% 2.32/1.11 conjectures 3
% 2.32/1.11 EPR 3
% 2.32/1.11 Horn 14
% 2.32/1.11 unary 8
% 2.32/1.11 binary 5
% 2.32/1.11 lits 25
% 2.32/1.11 lits eq 11
% 2.32/1.11 fd_pure 0
% 2.32/1.11 fd_pseudo 0
% 2.32/1.11 fd_cond 0
% 2.32/1.11 fd_pseudo_cond 1
% 2.32/1.11 AC symbols 0
% 2.32/1.11
% 2.32/1.11 ------ Schedule dynamic 5 is on
% 2.32/1.11
% 2.32/1.11 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.32/1.11
% 2.32/1.11
% 2.32/1.11 ------
% 2.32/1.11 Current options:
% 2.32/1.11 ------
% 2.32/1.11
% 2.32/1.11
% 2.32/1.11
% 2.32/1.11
% 2.32/1.11 ------ Proving...
% 2.32/1.11
% 2.32/1.11
% 2.32/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 2.32/1.11
% 2.32/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.32/1.11
% 2.32/1.11
%------------------------------------------------------------------------------