TSTP Solution File: SET858-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET858-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 03:01:50 EDT 2024
% Result : Unsatisfiable 72.68s 10.67s
% Output : CNFRefutation 72.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of clauses : 33 ( 10 unt; 15 nHn; 30 RR)
% Number of literals : 109 ( 20 equ; 57 neg)
% Maximal clause size : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 42 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X3,X0,tc_set(X2))
| c_lessequals(X3,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
cnf(c_50,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_51,plain,
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_0) ).
cnf(c_52,plain,
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X1,X0,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X1,X0,X2),X0,tc_set(tc_set(X2)))
| c_lessequals(X3,X0,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_1) ).
cnf(c_53,plain,
( c_Zorn_OTFin__linear__lemma1__1(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(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_2) ).
cnf(c_54,plain,
( ~ c_lessequals(c_Zorn_Osucc(X0,c_Zorn_OTFin__linear__lemma1__1(X0,X1,X2),X2),X1,tc_set(tc_set(X2)))
| ~ 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(c_Zorn_Osucc(X0,X1,X2),X3,tc_set(tc_set(X2)))
| c_lessequals(X3,X1,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_3) ).
cnf(c_55,plain,
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X3,X0,tc_set(tc_set(X2)))
| X0 = X3
| c_lessequals(c_Zorn_Osucc(X1,X3,X2),X0,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma2_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_in(v_n,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_58,negated_conjecture,
~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_59,negated_conjecture,
~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_1964,plain,
X0 = X0,
theory(equality) ).
cnf(c_1966,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_2420,plain,
( ~ c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_n,X0,tc_set(tc_set(t_a)))
| c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3659,plain,
( c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a) != X0
| ~ 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(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(v_m,X0,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_3663,plain,
( ~ 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(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(v_m,X0,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_3667,plain,
( ~ 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_in(c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(v_m,X0,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3680,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,X0,t_a),t_a),X0,tc_set(tc_set(t_a)))
| ~ 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(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(v_m,X0,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_6402,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(v_m,v_n,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_3667]) ).
cnf(c_6412,plain,
( c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) != v_n
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(v_m,v_n,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_3659]) ).
cnf(c_6422,plain,
( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(v_m,v_n,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_3663]) ).
cnf(c_6450,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),v_n,tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(v_m,v_n,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_3680]) ).
cnf(c_6870,plain,
( X0 != X1
| v_n != X1
| X0 = v_n ),
inference(instantiation,[status(thm)],[c_1966]) ).
cnf(c_9229,plain,
( ~ c_lessequals(c_Zorn_Osucc(X0,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_n,c_Zorn_Osucc(X0,v_n,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_2420]) ).
cnf(c_9230,plain,
c_lessequals(v_n,c_Zorn_Osucc(X0,v_n,t_a),tc_set(tc_set(t_a))),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_14399,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_n,c_Zorn_Osucc(v_S,v_n,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_9229]) ).
cnf(c_17840,plain,
c_lessequals(v_n,c_Zorn_Osucc(v_S,v_n,t_a),tc_set(tc_set(t_a))),
inference(instantiation,[status(thm)],[c_9230]) ).
cnf(c_21994,plain,
( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),X0,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| X0 = c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a)
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),X0,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_28060,plain,
( c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) != X0
| v_n != X0
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) = v_n ),
inference(instantiation,[status(thm)],[c_6870]) ).
cnf(c_29620,plain,
( c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) != c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a)
| v_n != c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a)
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) = v_n ),
inference(instantiation,[status(thm)],[c_28060]) ).
cnf(c_29621,plain,
c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a) = c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),
inference(instantiation,[status(thm)],[c_1964]) ).
cnf(c_31576,plain,
( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_n = c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a)
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),v_n,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_21994]) ).
cnf(c_31577,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_31576,c_29621,c_29620,c_17840,c_14399,c_6450,c_6422,c_6412,c_6402,c_56,c_57,c_58,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET858-1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.10 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n004.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 20:14:18 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 72.68/10.67 % SZS status Started for theBenchmark.p
% 72.68/10.67 % SZS status Unsatisfiable for theBenchmark.p
% 72.68/10.67
% 72.68/10.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 72.68/10.67
% 72.68/10.67 ------ iProver source info
% 72.68/10.67
% 72.68/10.67 git: date: 2024-05-02 19:28:25 +0000
% 72.68/10.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 72.68/10.67 git: non_committed_changes: false
% 72.68/10.67
% 72.68/10.67 ------ Parsing...successful
% 72.68/10.67
% 72.68/10.67
% 72.68/10.67
% 72.68/10.67 ------ Preprocessing... sf_s rm: 823 0s sf_e sf_s rm: 43 0s sf_e
% 72.68/10.67
% 72.68/10.67 ------ Preprocessing...
% 72.68/10.67
% 72.68/10.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 72.68/10.67 ------ Proving...
% 72.68/10.67 ------ Problem Properties
% 72.68/10.67
% 72.68/10.67
% 72.68/10.67 clauses 561
% 72.68/10.67 conjectures 4
% 72.68/10.67 EPR 284
% 72.68/10.67 Horn 529
% 72.68/10.67 unary 129
% 72.68/10.67 binary 371
% 72.68/10.67 lits 1064
% 72.68/10.67 lits eq 159
% 72.68/10.67 fd_pure 0
% 72.68/10.67 fd_pseudo 0
% 72.68/10.67 fd_cond 21
% 72.68/10.67 fd_pseudo_cond 38
% 72.68/10.67 AC symbols 0
% 72.68/10.67
% 72.68/10.67 ------ Input Options Time Limit: Unbounded
% 72.68/10.67
% 72.68/10.67
% 72.68/10.67 ------
% 72.68/10.67 Current options:
% 72.68/10.67 ------
% 72.68/10.67
% 72.68/10.67
% 72.68/10.67
% 72.68/10.67
% 72.68/10.67 ------ Proving...
% 72.68/10.67
% 72.68/10.67
% 72.68/10.67 % SZS status Unsatisfiable for theBenchmark.p
% 72.68/10.67
% 72.68/10.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 72.68/10.67
% 72.68/10.67
%------------------------------------------------------------------------------