TSTP Solution File: SET837-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET837-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 03:01:43 EDT 2024
% Result : Unsatisfiable 89.53s 12.77s
% Output : CNFRefutation 89.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of clauses : 54 ( 15 unt; 18 nHn; 40 RR)
% Number of literals : 118 ( 24 equ; 43 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 71 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( c_union(v_Y,v_Z,t_a) = v_X
| c_lessequals(v_Y,v_X,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_50,negated_conjecture,
( c_union(v_Y,v_Z,t_a) = v_X
| c_lessequals(v_Z,v_X,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_51,negated_conjecture,
( c_union(v_Y,v_Z,t_a) != v_X
| ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| c_lessequals(v_Y,v_x,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_52,negated_conjecture,
( c_union(v_Y,v_Z,t_a) != v_X
| ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| c_lessequals(v_Z,v_x,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_53,negated_conjecture,
( c_union(v_Y,v_Z,t_a) != v_X
| ~ c_lessequals(v_X,v_x,tc_set(t_a))
| ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| ~ c_lessequals(v_Z,v_X,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_54,negated_conjecture,
( ~ c_lessequals(v_Y,X0,tc_set(t_a))
| ~ c_lessequals(v_Z,X0,tc_set(t_a))
| c_union(v_Y,v_Z,t_a) = v_X
| c_lessequals(v_X,X0,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_162,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_163,plain,
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).
cnf(c_164,plain,
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).
cnf(c_165,plain,
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__antisym_0) ).
cnf(c_1380,plain,
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X3,X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_0) ).
cnf(c_1381,plain,
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X1,X3,X2),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_1) ).
cnf(c_1382,plain,
( ~ c_in(X0,c_union(X1,X2,X3),X3)
| c_in(X0,X1,X3)
| c_in(X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnE_0) ).
cnf(c_30155,plain,
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3)
| c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
inference(superposition,[status(thm)],[c_1380,c_164]) ).
cnf(c_30156,plain,
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3)
| c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
inference(superposition,[status(thm)],[c_1381,c_164]) ).
cnf(c_30267,plain,
c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(superposition,[status(thm)],[c_163,c_30155]) ).
cnf(c_30284,plain,
c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(superposition,[status(thm)],[c_163,c_30156]) ).
cnf(c_30328,plain,
( ~ c_lessequals(v_Y,c_union(X0,v_Z,t_a),tc_set(t_a))
| c_union(v_Y,v_Z,t_a) = v_X
| c_lessequals(v_X,c_union(X0,v_Z,t_a),tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_30267,c_54]) ).
cnf(c_30342,plain,
( c_union(v_Y,v_Z,t_a) = v_X
| c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_30284,c_30328]) ).
cnf(c_35071,plain,
( ~ c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| c_union(v_Y,v_Z,t_a) = v_X ),
inference(superposition,[status(thm)],[c_30342,c_165]) ).
cnf(c_49048,plain,
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3)
| c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
inference(superposition,[status(thm)],[c_1380,c_164]) ).
cnf(c_49049,plain,
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3)
| c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
inference(superposition,[status(thm)],[c_1381,c_164]) ).
cnf(c_49105,plain,
c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(superposition,[status(thm)],[c_163,c_49048]) ).
cnf(c_49116,plain,
c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(superposition,[status(thm)],[c_163,c_49049]) ).
cnf(c_49952,plain,
( ~ c_in(X0,v_Y,t_a)
| c_union(v_Y,v_Z,t_a) = v_X
| c_in(X0,v_X,t_a) ),
inference(superposition,[status(thm)],[c_49,c_162]) ).
cnf(c_49953,plain,
( ~ c_in(X0,v_Z,t_a)
| c_union(v_Y,v_Z,t_a) = v_X
| c_in(X0,v_X,t_a) ),
inference(superposition,[status(thm)],[c_50,c_162]) ).
cnf(c_50410,plain,
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X0,X2)
| c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X1,X2)
| c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
inference(superposition,[status(thm)],[c_163,c_1382]) ).
cnf(c_50596,plain,
( c_union(v_Y,v_Z,t_a) = v_X
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X1,t_a),X0,t_a)
| c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X1,t_a),v_X,t_a)
| c_lessequals(c_union(X0,v_Z,t_a),X1,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_50410,c_49953]) ).
cnf(c_50859,plain,
( c_union(v_Y,v_Z,t_a) = v_X
| c_in(c_Main_OsubsetI__1(c_union(v_Y,v_Z,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Y,v_Z,t_a),X0,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_50596,c_49952]) ).
cnf(c_50860,plain,
( c_union(v_Y,v_Z,t_a) = v_X
| c_in(c_Main_OsubsetI__1(c_union(v_Z,v_Z,t_a),X0,t_a),v_X,t_a)
| c_lessequals(c_union(v_Z,v_Z,t_a),X0,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_50596,c_49953]) ).
cnf(c_50892,plain,
( c_union(v_Y,v_Z,t_a) = v_X
| c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_50859,c_164]) ).
cnf(c_50899,plain,
c_union(v_Y,v_Z,t_a) = v_X,
inference(global_subsumption_just,[status(thm)],[c_50860,c_35071,c_50892]) ).
cnf(c_50930,plain,
c_lessequals(v_Y,v_X,tc_set(t_a)),
inference(superposition,[status(thm)],[c_50899,c_49116]) ).
cnf(c_50940,plain,
c_lessequals(v_Z,v_X,tc_set(t_a)),
inference(superposition,[status(thm)],[c_50899,c_49105]) ).
cnf(c_70219,negated_conjecture,
c_lessequals(v_Y,v_X,tc_set(t_a)),
inference(global_subsumption_just,[status(thm)],[c_49,c_50930]) ).
cnf(c_70221,plain,
( c_union(v_Y,v_Z,t_a) != v_X
| ~ c_lessequals(v_X,v_x,tc_set(t_a))
| ~ c_lessequals(v_Z,v_X,tc_set(t_a)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_53,c_70219]) ).
cnf(c_70222,plain,
( c_union(v_Y,v_Z,t_a) != v_X
| ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| c_lessequals(v_Z,v_x,tc_set(t_a)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_70219]) ).
cnf(c_70223,plain,
( c_union(v_Y,v_Z,t_a) != v_X
| ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| c_lessequals(v_Y,v_x,tc_set(t_a)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_70219]) ).
cnf(c_70224,negated_conjecture,
c_lessequals(v_Z,v_X,tc_set(t_a)),
inference(global_subsumption_just,[status(thm)],[c_50,c_50940]) ).
cnf(c_70226,plain,
( c_union(v_Y,v_Z,t_a) != v_X
| c_lessequals(v_Y,v_x,tc_set(t_a)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_70223,c_70224]) ).
cnf(c_70227,plain,
( c_union(v_Y,v_Z,t_a) != v_X
| c_lessequals(v_Z,v_x,tc_set(t_a)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_70222,c_70224]) ).
cnf(c_70228,plain,
( c_union(v_Y,v_Z,t_a) != v_X
| ~ c_lessequals(v_X,v_x,tc_set(t_a)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_70221,c_70224]) ).
cnf(c_70229,negated_conjecture,
c_union(v_Y,v_Z,t_a) = v_X,
inference(global_subsumption_just,[status(thm)],[c_54,c_50899]) ).
cnf(c_70231,plain,
~ c_lessequals(v_X,v_x,tc_set(t_a)),
inference(backward_subsumption_resolution,[status(thm)],[c_70228,c_70229]) ).
cnf(c_70232,plain,
c_lessequals(v_Z,v_x,tc_set(t_a)),
inference(backward_subsumption_resolution,[status(thm)],[c_70227,c_70229]) ).
cnf(c_70233,plain,
c_lessequals(v_Y,v_x,tc_set(t_a)),
inference(backward_subsumption_resolution,[status(thm)],[c_70226,c_70229]) ).
cnf(c_70976,plain,
( ~ c_in(X0,v_Y,t_a)
| c_in(X0,v_x,t_a) ),
inference(superposition,[status(thm)],[c_70233,c_162]) ).
cnf(c_70977,plain,
( ~ c_in(X0,v_Z,t_a)
| c_in(X0,v_x,t_a) ),
inference(superposition,[status(thm)],[c_70232,c_162]) ).
cnf(c_71220,plain,
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Y,t_a)
| c_in(X0,v_Z,t_a) ),
inference(superposition,[status(thm)],[c_70229,c_1382]) ).
cnf(c_71275,plain,
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
| c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_lessequals(v_X,X0,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_163,c_71220]) ).
cnf(c_71282,plain,
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
| c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_x,t_a)
| c_lessequals(v_X,X0,tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_71275,c_70977]) ).
cnf(c_71338,plain,
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_x,t_a)
| c_lessequals(v_X,X0,tc_set(t_a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71282,c_70976]) ).
cnf(c_71339,plain,
c_lessequals(v_X,v_x,tc_set(t_a)),
inference(superposition,[status(thm)],[c_71338,c_164]) ).
cnf(c_71340,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_71339,c_70231]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET837-1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 20:54:37 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 89.53/12.77 % SZS status Started for theBenchmark.p
% 89.53/12.77 % SZS status Unsatisfiable for theBenchmark.p
% 89.53/12.77
% 89.53/12.77 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 89.53/12.77
% 89.53/12.77 ------ iProver source info
% 89.53/12.77
% 89.53/12.77 git: date: 2024-05-02 19:28:25 +0000
% 89.53/12.77 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 89.53/12.77 git: non_committed_changes: false
% 89.53/12.77
% 89.53/12.77 ------ Parsing...successful
% 89.53/12.77
% 89.53/12.77
% 89.53/12.77
% 89.53/12.77 ------ 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 sup_sim: 0 sf_s rm: 69 0s sf_e pe_s pe_e
% 89.53/12.77
% 89.53/12.77 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 89.53/12.77
% 89.53/12.77 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 89.53/12.77 ------ Proving...
% 89.53/12.77 ------ Problem Properties
% 89.53/12.77
% 89.53/12.77
% 89.53/12.77 clauses 301
% 89.53/12.77 conjectures 6
% 89.53/12.77 EPR 26
% 89.53/12.77 Horn 271
% 89.53/12.77 unary 75
% 89.53/12.77 binary 175
% 89.53/12.77 lits 582
% 89.53/12.77 lits eq 168
% 89.53/12.77 fd_pure 0
% 89.53/12.77 fd_pseudo 0
% 89.53/12.77 fd_cond 21
% 89.53/12.77 fd_pseudo_cond 40
% 89.53/12.77 AC symbols 0
% 89.53/12.77
% 89.53/12.77 ------ Input Options Time Limit: Unbounded
% 89.53/12.77
% 89.53/12.77
% 89.53/12.77 ------
% 89.53/12.77 Current options:
% 89.53/12.77 ------
% 89.53/12.77
% 89.53/12.77
% 89.53/12.77
% 89.53/12.77
% 89.53/12.77 ------ Proving...
% 89.53/12.77
% 89.53/12.77
% 89.53/12.77 % SZS status Unsatisfiable for theBenchmark.p
% 89.53/12.77
% 89.53/12.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 89.53/12.77
% 89.53/12.78
%------------------------------------------------------------------------------