TSTP Solution File: SET865-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET865-1 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 : Mon Jun 24 14:36:24 EDT 2024
% Result : Unsatisfiable 8.03s 1.70s
% Output : CNFRefutation 8.03s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OHausdorff_0) ).
cnf(c_50,plain,
( ~ c_in(X0,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Union(X0,X2),X3,tc_set(X2))
| ~ c_in(X3,X1,tc_set(X2))
| c_Union(X0,X2) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).
cnf(c_51,plain,
c_lessequals(c_Zorn_Omaxchain(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(tc_set(X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__subset__chain_0) ).
cnf(c_52,negated_conjecture,
( ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Union(X0,t_a),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_53,negated_conjecture,
( ~ c_in(X0,v_S,tc_set(t_a))
| c_in(v_x(X0),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_54,negated_conjecture,
( ~ c_in(X0,v_S,tc_set(t_a))
| c_lessequals(X0,v_x(X0),tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_55,negated_conjecture,
( v_x(X0) != X0
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_163,plain,
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(X3,X0,X2)
| c_in(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).
cnf(c_17882,plain,
tc_set(t_a) = sP0_iProver_def,
definition ).
cnf(c_17883,plain,
c_Zorn_Ochain(v_S,t_a) = sP1_iProver_def,
definition ).
cnf(c_17884,plain,
tc_set(sP0_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_17885,negated_conjecture,
( v_x(X0) != X0
| ~ c_in(X0,v_S,sP0_iProver_def) ),
inference(demodulation,[status(thm)],[c_55,c_17882]) ).
cnf(c_17886,negated_conjecture,
( ~ c_in(X0,v_S,sP0_iProver_def)
| c_lessequals(X0,v_x(X0),sP0_iProver_def) ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_17887,negated_conjecture,
( ~ c_in(X0,v_S,sP0_iProver_def)
| c_in(v_x(X0),v_S,sP0_iProver_def) ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_17888,negated_conjecture,
( ~ c_in(X0,sP1_iProver_def,sP2_iProver_def)
| c_in(c_Union(X0,t_a),v_S,sP0_iProver_def) ),
inference(demodulation,[status(thm)],[c_52,c_17884,c_17883]) ).
cnf(c_24135,plain,
c_in(c_Zorn_OHausdorff__1(X0,t_a),c_Zorn_Omaxchain(X0,t_a),tc_set(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_17882,c_49]) ).
cnf(c_24147,plain,
c_lessequals(c_Zorn_Omaxchain(v_S,t_a),sP1_iProver_def,tc_set(tc_set(tc_set(t_a)))),
inference(superposition,[status(thm)],[c_17883,c_51]) ).
cnf(c_24189,plain,
( ~ c_in(X0,c_Zorn_Omaxchain(X1,t_a),tc_set(sP0_iProver_def))
| ~ c_lessequals(c_Union(X0,t_a),X2,tc_set(t_a))
| ~ c_in(X2,X1,tc_set(t_a))
| c_Union(X0,t_a) = X2 ),
inference(superposition,[status(thm)],[c_17882,c_50]) ).
cnf(c_24198,plain,
c_in(c_Zorn_OHausdorff__1(X0,t_a),c_Zorn_Omaxchain(X0,t_a),sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_24135,c_17884]) ).
cnf(c_24201,plain,
c_lessequals(c_Zorn_Omaxchain(v_S,t_a),sP1_iProver_def,tc_set(sP2_iProver_def)),
inference(light_normalisation,[status(thm)],[c_24147,c_17882,c_17884]) ).
cnf(c_24203,plain,
( ~ c_in(X0,c_Zorn_Omaxchain(v_S,t_a),sP2_iProver_def)
| c_in(X0,sP1_iProver_def,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_24201,c_163]) ).
cnf(c_24364,plain,
( ~ c_in(X0,c_Zorn_Omaxchain(X1,t_a),sP2_iProver_def)
| ~ c_lessequals(c_Union(X0,t_a),X2,sP0_iProver_def)
| ~ c_in(X2,X1,sP0_iProver_def)
| c_Union(X0,t_a) = X2 ),
inference(light_normalisation,[status(thm)],[c_24189,c_17882,c_17884]) ).
cnf(c_24373,plain,
( ~ c_lessequals(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),X1,sP0_iProver_def)
| ~ c_in(X1,X0,sP0_iProver_def)
| c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a) = X1 ),
inference(superposition,[status(thm)],[c_24198,c_24364]) ).
cnf(c_24383,plain,
c_in(c_Zorn_OHausdorff__1(v_S,t_a),sP1_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_24198,c_24203]) ).
cnf(c_24542,plain,
( ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,sP0_iProver_def)
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,sP0_iProver_def)
| v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)) = c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a) ),
inference(superposition,[status(thm)],[c_17886,c_24373]) ).
cnf(c_24713,plain,
( ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,sP0_iProver_def)
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24542,c_17885]) ).
cnf(c_24720,plain,
~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,sP0_iProver_def),
inference(superposition,[status(thm)],[c_17887,c_24713]) ).
cnf(c_24986,plain,
~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),sP1_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_17888,c_24720]) ).
cnf(c_24988,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_24383,c_24986]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET865-1 : TPTP v8.2.0. Released v3.2.0.
% 0.04/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n024.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 : Sun Jun 23 17:35:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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
% 8.03/1.70 % SZS status Started for theBenchmark.p
% 8.03/1.70 % SZS status Unsatisfiable for theBenchmark.p
% 8.03/1.70
% 8.03/1.70 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.03/1.70
% 8.03/1.70 ------ iProver source info
% 8.03/1.70
% 8.03/1.70 git: date: 2024-06-12 09:56:46 +0000
% 8.03/1.70 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 8.03/1.70 git: non_committed_changes: false
% 8.03/1.70
% 8.03/1.70 ------ Parsing...successful
% 8.03/1.70
% 8.03/1.70
% 8.03/1.70
% 8.03/1.70 ------ Preprocessing... sup_sim: 1 sf_s rm: 823 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e
% 8.03/1.70
% 8.03/1.70 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.03/1.70
% 8.03/1.70 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.03/1.70 ------ Proving...
% 8.03/1.70 ------ Problem Properties
% 8.03/1.70
% 8.03/1.70
% 8.03/1.70 clauses 305
% 8.03/1.70 conjectures 4
% 8.03/1.70 EPR 26
% 8.03/1.70 Horn 278
% 8.03/1.70 unary 80
% 8.03/1.70 binary 177
% 8.03/1.70 lits 579
% 8.03/1.70 lits eq 167
% 8.03/1.70 fd_pure 0
% 8.03/1.70 fd_pseudo 0
% 8.03/1.70 fd_cond 21
% 8.03/1.70 fd_pseudo_cond 41
% 8.03/1.70 AC symbols 0
% 8.03/1.70
% 8.03/1.70 ------ Input Options Time Limit: Unbounded
% 8.03/1.70
% 8.03/1.70
% 8.03/1.70 ------
% 8.03/1.70 Current options:
% 8.03/1.70 ------
% 8.03/1.70
% 8.03/1.70
% 8.03/1.70
% 8.03/1.70
% 8.03/1.70 ------ Proving...
% 8.03/1.70
% 8.03/1.70
% 8.03/1.70 ------ Proving...
% 8.03/1.70
% 8.03/1.70
% 8.03/1.70 ------ Proving...
% 8.03/1.70
% 8.03/1.70
% 8.03/1.70 ------ Proving...
% 8.03/1.70
% 8.03/1.70
% 8.03/1.70 % SZS status Unsatisfiable for theBenchmark.p
% 8.03/1.70
% 8.03/1.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.03/1.70
% 8.03/1.70
%------------------------------------------------------------------------------