TSTP Solution File: SET858-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET858-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 2.99s 1.12s
% Output : CNFRefutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of clauses : 40 ( 13 unt; 20 nHn; 36 RR)
% Number of literals : 133 ( 23 equ; 71 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 : 80 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,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_50,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_51,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_52,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_53,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_54,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_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_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_56,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_57,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_58,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_59,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_140,plain,
( ~ c_in(X0_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
| ~ c_in(X1_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
| ~ c_lessequals(X0_13,X1_13,tc_set(tc_set(X0_15)))
| X1_13 = X0_13
| c_lessequals(c_Zorn_Osucc(X0_16,X0_13,X0_15),X1_13,tc_set(tc_set(X0_15))) ),
inference(subtyping,[status(esa)],[c_59]) ).
cnf(c_141,plain,
( ~ c_lessequals(c_Zorn_Osucc(X0_16,c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15),X0_15),X0_13,tc_set(tc_set(X0_15)))
| ~ c_in(X0_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
| ~ c_in(X1_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
| c_lessequals(c_Zorn_Osucc(X0_16,X0_13,X0_15),X1_13,tc_set(tc_set(X0_15)))
| c_lessequals(X1_13,X0_13,tc_set(tc_set(X0_15))) ),
inference(subtyping,[status(esa)],[c_58]) ).
cnf(c_142,plain,
( c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15) != X0_13
| ~ c_in(X0_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
| ~ c_in(X1_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
| c_lessequals(c_Zorn_Osucc(X0_16,X0_13,X0_15),X1_13,tc_set(tc_set(X0_15)))
| c_lessequals(X1_13,X0_13,tc_set(tc_set(X0_15))) ),
inference(subtyping,[status(esa)],[c_57]) ).
cnf(c_143,plain,
( ~ c_in(X0_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
| ~ c_in(X1_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
| c_lessequals(c_Zorn_Osucc(X0_16,X1_13,X0_15),X0_13,tc_set(tc_set(X0_15)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0_16,X1_13,X0_15),X1_13,tc_set(tc_set(X0_15)))
| c_lessequals(X0_13,X1_13,tc_set(tc_set(X0_15))) ),
inference(subtyping,[status(esa)],[c_56]) ).
cnf(c_144,plain,
( ~ c_in(X0_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
| ~ c_in(X1_13,c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X0_16,X1_13,X0_15),c_Zorn_OTFin(X0_16,X0_15),tc_set(tc_set(X0_15)))
| c_lessequals(c_Zorn_Osucc(X0_16,X1_13,X0_15),X0_13,tc_set(tc_set(X0_15)))
| c_lessequals(X0_13,X1_13,tc_set(tc_set(X0_15))) ),
inference(subtyping,[status(esa)],[c_55]) ).
cnf(c_145,plain,
c_lessequals(X0_13,c_Zorn_Osucc(X0_16,X0_13,X0_15),tc_set(tc_set(X0_15))),
inference(subtyping,[status(esa)],[c_54]) ).
cnf(c_146,plain,
( ~ c_lessequals(X0_13,X1_13,tc_set(X0_15))
| ~ c_lessequals(X2_13,X0_13,tc_set(X0_15))
| c_lessequals(X2_13,X1_13,tc_set(X0_15)) ),
inference(subtyping,[status(esa)],[c_53]) ).
cnf(c_147,negated_conjecture,
~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
inference(subtyping,[status(esa)],[c_52]) ).
cnf(c_152,plain,
X0_13 = X0_13,
theory(equality) ).
cnf(c_153,plain,
( X0_13 != X1_13
| X2_13 != X1_13
| X2_13 = X0_13 ),
theory(equality) ).
cnf(c_363,plain,
( ~ c_lessequals(X0_13,v_n,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_m,X0_13,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[c_146,c_147]) ).
cnf(c_374,plain,
~ c_lessequals(c_Zorn_Osucc(X0_16,v_m,t_a),v_n,tc_set(tc_set(t_a))),
inference(resolution,[status(thm)],[c_363,c_145]) ).
cnf(c_375,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a))),
inference(instantiation,[status(thm)],[c_374]) ).
cnf(c_405,plain,
( ~ c_in(v_m,c_Zorn_OTFin(X0_16,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(X0_16,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X0_16,v_m,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0_16,v_m,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_143]) ).
cnf(c_406,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_m,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))
| c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_405]) ).
cnf(c_433,plain,
( ~ c_in(v_m,c_Zorn_OTFin(X0_16,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(X0_16,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(X0_16,v_m,t_a),c_Zorn_OTFin(X0_16,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X0_16,v_m,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_144]) ).
cnf(c_434,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_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_433]) ).
cnf(c_452,plain,
( ~ c_lessequals(c_Zorn_Osucc(X0_16,c_Zorn_OTFin__linear__lemma1__1(X0_16,v_m,t_a),t_a),v_m,tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(X0_16,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(X0_16,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X0_16,v_m,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_141]) ).
cnf(c_453,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_m,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_m,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_452]) ).
cnf(c_465,plain,
( c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15) != X1_13
| X0_13 != X1_13
| c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15) = X0_13 ),
inference(instantiation,[status(thm)],[c_153]) ).
cnf(c_590,plain,
( c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15) != c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15)
| X0_13 != c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15)
| c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15) = X0_13 ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_591,plain,
c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15) = c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15),
inference(instantiation,[status(thm)],[c_152]) ).
cnf(c_592,plain,
( c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a) != c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
| v_m != c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a) = v_m ),
inference(instantiation,[status(thm)],[c_590]) ).
cnf(c_593,plain,
c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a) = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),
inference(instantiation,[status(thm)],[c_591]) ).
cnf(c_633,plain,
( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15),c_Zorn_OTFin(X1_16,X1_15),tc_set(tc_set(X1_15)))
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15),X1_13,tc_set(tc_set(X1_15)))
| ~ c_in(X1_13,c_Zorn_OTFin(X1_16,X1_15),tc_set(tc_set(X1_15)))
| X1_13 = c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15)
| c_lessequals(c_Zorn_Osucc(X1_16,c_Zorn_OTFin__linear__lemma1__1(X0_16,X0_13,X0_15),X1_15),X1_13,tc_set(tc_set(X1_15))) ),
inference(instantiation,[status(thm)],[c_140]) ).
cnf(c_634,plain,
( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,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_m,t_a),v_m,tc_set(tc_set(t_a)))
| ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| v_m = c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a)
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a),t_a),v_m,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_633]) ).
cnf(c_920,plain,
( c_Zorn_OTFin__linear__lemma1__1(X0_16,v_m,t_a) != v_m
| ~ c_in(v_m,c_Zorn_OTFin(X0_16,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(X0_16,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(X0_16,v_m,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_142]) ).
cnf(c_921,plain,
( c_Zorn_OTFin__linear__lemma1__1(v_S,v_m,t_a) != v_m
| ~ 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_m,t_a),v_n,tc_set(tc_set(t_a)))
| c_lessequals(v_n,v_m,tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[c_920]) ).
cnf(c_922,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_921,c_634,c_593,c_592,c_453,c_434,c_406,c_375,c_49,c_50,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET858-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 20:37:43 EDT 2024
% 0.11/0.32 % 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
% 2.99/1.12 % SZS status Started for theBenchmark.p
% 2.99/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 2.99/1.12
% 2.99/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.99/1.12
% 2.99/1.12 ------ iProver source info
% 2.99/1.12
% 2.99/1.12 git: date: 2024-05-02 19:28:25 +0000
% 2.99/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.99/1.12 git: non_committed_changes: false
% 2.99/1.12
% 2.99/1.12 ------ Parsing...successful
% 2.99/1.12
% 2.99/1.12
% 2.99/1.12
% 2.99/1.12 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.99/1.12
% 2.99/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.99/1.12
% 2.99/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.99/1.12 ------ Proving...
% 2.99/1.12 ------ Problem Properties
% 2.99/1.12
% 2.99/1.12
% 2.99/1.12 clauses 11
% 2.99/1.12 conjectures 4
% 2.99/1.12 EPR 0
% 2.99/1.12 Horn 6
% 2.99/1.12 unary 5
% 2.99/1.12 binary 0
% 2.99/1.12 lits 33
% 2.99/1.12 lits eq 2
% 2.99/1.12 fd_pure 0
% 2.99/1.12 fd_pseudo 0
% 2.99/1.12 fd_cond 0
% 2.99/1.12 fd_pseudo_cond 1
% 2.99/1.12 AC symbols 0
% 2.99/1.12
% 2.99/1.12 ------ Input Options Time Limit: Unbounded
% 2.99/1.12
% 2.99/1.12
% 2.99/1.12 ------
% 2.99/1.12 Current options:
% 2.99/1.12 ------
% 2.99/1.12
% 2.99/1.12
% 2.99/1.12
% 2.99/1.12
% 2.99/1.12 ------ Proving...
% 2.99/1.12
% 2.99/1.12
% 2.99/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 2.99/1.12
% 2.99/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.99/1.12
% 2.99/1.13
%------------------------------------------------------------------------------