TSTP Solution File: SET852-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET852-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Thu Aug 31 15:10:17 EDT 2023
% Result : Unsatisfiable 13.59s 2.59s
% Output : CNFRefutation 13.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 3 unt; 8 nHn; 8 RR)
% Number of literals : 26 ( 0 equ; 6 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( c_in(c_Zorn_OUnion__lemma0__1(X0,X1,X2,X3),X2,tc_set(X3))
| c_lessequals(c_Union(X2,X3),X0,tc_set(X3))
| c_lessequals(X1,c_Union(X2,X3),tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_0) ).
cnf(c_50,plain,
( ~ c_lessequals(c_Zorn_OUnion__lemma0__1(X0,X1,X2,X3),X0,tc_set(X3))
| c_lessequals(c_Union(X2,X3),X0,tc_set(X3))
| c_lessequals(X1,c_Union(X2,X3),tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_1) ).
cnf(c_51,plain,
( ~ c_lessequals(X0,c_Zorn_OUnion__lemma0__1(X1,X0,X2,X3),tc_set(X3))
| c_lessequals(c_Union(X2,X3),X1,tc_set(X3))
| c_lessequals(X0,c_Union(X2,X3),tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_2) ).
cnf(c_55,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_56,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_57,negated_conjecture,
( ~ c_in(X0,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_41096,plain,
( ~ c_in(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(X1,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(X1,tc_set(t_a)),X0,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_57,c_51]) ).
cnf(c_41419,plain,
( c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_49,c_41096]) ).
cnf(c_41420,plain,
( c_lessequals(c_Zorn_OUnion__lemma0__1(X0,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X0,tc_set(tc_set(t_a))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41419,c_56]) ).
cnf(c_41428,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_41420,c_50]) ).
cnf(c_41433,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_41428,c_55,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SET852-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.09 % Command : run_iprover %s %d THM
% 0.12/0.30 % Computer : n032.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Sat Aug 26 15:13:29 EDT 2023
% 0.12/0.31 % CPUTime :
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 13.59/2.59 % SZS status Started for theBenchmark.p
% 13.59/2.59 % SZS status Unsatisfiable for theBenchmark.p
% 13.59/2.59
% 13.59/2.59 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 13.59/2.59
% 13.59/2.59 ------ iProver source info
% 13.59/2.59
% 13.59/2.59 git: date: 2023-05-31 18:12:56 +0000
% 13.59/2.59 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 13.59/2.59 git: non_committed_changes: false
% 13.59/2.59 git: last_make_outside_of_git: false
% 13.59/2.59
% 13.59/2.59 ------ Parsing...successful
% 13.59/2.59
% 13.59/2.59
% 13.59/2.59
% 13.59/2.59 ------ 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
% 13.59/2.59
% 13.59/2.59 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 13.59/2.59
% 13.59/2.59 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 13.59/2.59 ------ Proving...
% 13.59/2.59 ------ Problem Properties
% 13.59/2.59
% 13.59/2.59
% 13.59/2.59 clauses 305
% 13.59/2.59 conjectures 6
% 13.59/2.59 EPR 26
% 13.59/2.59 Horn 273
% 13.59/2.59 unary 79
% 13.59/2.59 binary 174
% 13.59/2.59 lits 584
% 13.59/2.59 lits eq 163
% 13.59/2.59 fd_pure 0
% 13.59/2.59 fd_pseudo 0
% 13.59/2.59 fd_cond 22
% 13.59/2.59 fd_pseudo_cond 40
% 13.59/2.59 AC symbols 0
% 13.59/2.59
% 13.59/2.59 ------ Schedule dynamic 5 is on
% 13.59/2.59
% 13.59/2.59 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 13.59/2.59
% 13.59/2.59
% 13.59/2.59 ------
% 13.59/2.59 Current options:
% 13.59/2.59 ------
% 13.59/2.59
% 13.59/2.59
% 13.59/2.59
% 13.59/2.59
% 13.59/2.59 ------ Proving...
% 13.59/2.59
% 13.59/2.59
% 13.59/2.59 % SZS status Unsatisfiable for theBenchmark.p
% 13.59/2.59
% 13.59/2.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.59/2.59
% 13.59/2.59
%------------------------------------------------------------------------------