TSTP Solution File: SET851-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET851-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 03:01:48 EDT 2024
% Result : Unsatisfiable 0.47s 1.16s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
cnf(c_50,plain,
( ~ c_lessequals(X0,X1,tc_set(tc_set(X2)))
| c_lessequals(X0,c_Zorn_Osucc(X3,X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Osucc__trans_0) ).
cnf(c_51,negated_conjecture,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_52,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_53,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_54,negated_conjecture,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_55,negated_conjecture,
( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| X0 = v_m
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_105,plain,
( tc_set(tc_set(t_a)) != tc_set(tc_set(t_a))
| c_Zorn_OTFin(v_S,t_a) != c_Zorn_OTFin(v_S,t_a)
| X0 != v_x
| ~ c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| X0 = v_m
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a))) ),
inference(resolution_lifted,[status(thm)],[c_51,c_55]) ).
cnf(c_106,plain,
( ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
| v_x = v_m
| c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))) ),
inference(unflattening,[status(thm)],[c_105]) ).
cnf(c_107,plain,
( v_x = v_m
| ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
inference(global_subsumption_just,[status(thm)],[c_106,c_52,c_106]) ).
cnf(c_108,plain,
( ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
| v_x = v_m ),
inference(renaming,[status(thm)],[c_107]) ).
cnf(c_151,plain,
c_Zorn_Osucc(v_S,v_m,t_a) = sP0_iProver_def,
definition ).
cnf(c_152,plain,
tc_set(t_a) = sP1_iProver_def,
definition ).
cnf(c_153,plain,
tc_set(sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_154,plain,
c_Zorn_Osucc(v_S,v_x,t_a) = sP3_iProver_def,
definition ).
cnf(c_155,negated_conjecture,
( c_lessequals(v_x,v_m,sP2_iProver_def)
| c_lessequals(sP0_iProver_def,v_x,sP2_iProver_def) ),
inference(demodulation,[status(thm)],[c_54,c_152,c_153,c_151]) ).
cnf(c_156,negated_conjecture,
~ c_lessequals(sP0_iProver_def,sP3_iProver_def,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_53,c_154]) ).
cnf(c_284,plain,
( ~ c_lessequals(v_x,v_m,sP2_iProver_def)
| v_x = v_m ),
inference(light_normalisation,[status(thm)],[c_108,c_152,c_153]) ).
cnf(c_289,plain,
( v_x = v_m
| c_lessequals(sP0_iProver_def,v_x,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_155,c_284]) ).
cnf(c_298,plain,
c_lessequals(X0,X0,sP2_iProver_def),
inference(superposition,[status(thm)],[c_153,c_49]) ).
cnf(c_304,plain,
( ~ c_lessequals(X0,v_x,tc_set(tc_set(t_a)))
| c_lessequals(X0,sP3_iProver_def,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_154,c_50]) ).
cnf(c_311,plain,
( ~ c_lessequals(X0,v_x,sP2_iProver_def)
| c_lessequals(X0,sP3_iProver_def,sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_304,c_152,c_153]) ).
cnf(c_340,plain,
( v_x = v_m
| c_lessequals(sP0_iProver_def,sP3_iProver_def,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_289,c_311]) ).
cnf(c_342,plain,
v_x = v_m,
inference(forward_subsumption_resolution,[status(thm)],[c_340,c_156]) ).
cnf(c_345,plain,
c_Zorn_Osucc(v_S,v_m,t_a) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_154,c_342]) ).
cnf(c_347,plain,
sP0_iProver_def = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_345,c_151]) ).
cnf(c_349,plain,
~ c_lessequals(sP0_iProver_def,sP0_iProver_def,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_156,c_347]) ).
cnf(c_350,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_349,c_298]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET851-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 20:27:56 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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
% 0.47/1.16 % SZS status Started for theBenchmark.p
% 0.47/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.16
% 0.47/1.16 ------ iProver source info
% 0.47/1.16
% 0.47/1.16 git: date: 2024-05-02 19:28:25 +0000
% 0.47/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.47/1.16 git: non_committed_changes: false
% 0.47/1.16
% 0.47/1.16 ------ Parsing...successful
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------ 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
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.47/1.16 ------ Proving...
% 0.47/1.16 ------ Problem Properties
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 clauses 10
% 0.47/1.16 conjectures 3
% 0.47/1.16 EPR 3
% 0.47/1.16 Horn 9
% 0.47/1.16 unary 7
% 0.47/1.16 binary 3
% 0.47/1.16 lits 13
% 0.47/1.16 lits eq 5
% 0.47/1.16 fd_pure 0
% 0.47/1.16 fd_pseudo 0
% 0.47/1.16 fd_cond 0
% 0.47/1.16 fd_pseudo_cond 0
% 0.47/1.16 AC symbols 0
% 0.47/1.16
% 0.47/1.16 ------ Schedule dynamic 5 is on
% 0.47/1.16
% 0.47/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------
% 0.47/1.16 Current options:
% 0.47/1.16 ------
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------ Proving...
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.16
% 0.47/1.16
%------------------------------------------------------------------------------