TSTP Solution File: SET864-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET864-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 15:10:23 EDT 2023
% Result : Unsatisfiable 7.86s 1.72s
% Output : CNFRefutation 7.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 4 unt; 1 nHn; 17 RR)
% Number of literals : 37 ( 5 equ; 20 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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_52,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_54,negated_conjecture,
c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_55,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_3) ).
cnf(c_56,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_4) ).
cnf(c_57,negated_conjecture,
( v_x(X0) != X0
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(c_165,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_166,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_167,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_28415,plain,
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,X0,t_a)
| c_in(X1,v_x(X0),t_a) ),
inference(superposition,[status(thm)],[c_56,c_165]) ).
cnf(c_28503,plain,
( ~ c_in(X0,c_Union(v_c,t_a),t_a)
| c_in(X0,v_x(c_Union(v_c,t_a)),t_a) ),
inference(superposition,[status(thm)],[c_54,c_28415]) ).
cnf(c_28537,plain,
( ~ c_in(c_Main_OsubsetI__1(X0,v_x(c_Union(v_c,t_a)),t_a),c_Union(v_c,t_a),t_a)
| c_lessequals(X0,v_x(c_Union(v_c,t_a)),tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_28503,c_167]) ).
cnf(c_28574,plain,
c_lessequals(c_Union(v_c,t_a),v_x(c_Union(v_c,t_a)),tc_set(t_a)),
inference(superposition,[status(thm)],[c_166,c_28537]) ).
cnf(c_29315,plain,
( ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))
| c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_29317,plain,
( v_x(c_Union(v_c,t_a)) != c_Union(v_c,t_a)
| ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_38685,plain,
( ~ c_lessequals(c_Union(v_c,t_a),X0,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a))
| c_Union(v_c,t_a) = X0 ),
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_38767,plain,
( ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))
| v_x(c_Union(v_c,t_a)) = c_Union(v_c,t_a) ),
inference(superposition,[status(thm)],[c_28574,c_38685]) ).
cnf(c_38822,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_38767,c_29317,c_29315,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET864-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 15:34:24 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.86/1.72 % SZS status Started for theBenchmark.p
% 7.86/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 7.86/1.72
% 7.86/1.72 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.86/1.72
% 7.86/1.72 ------ iProver source info
% 7.86/1.72
% 7.86/1.72 git: date: 2023-05-31 18:12:56 +0000
% 7.86/1.72 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.86/1.72 git: non_committed_changes: false
% 7.86/1.72 git: last_make_outside_of_git: false
% 7.86/1.72
% 7.86/1.72 ------ Parsing...successful
% 7.86/1.72
% 7.86/1.72
% 7.86/1.72
% 7.86/1.72 ------ 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
% 7.86/1.72
% 7.86/1.72 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.86/1.72
% 7.86/1.72 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.86/1.72 ------ Proving...
% 7.86/1.72 ------ Problem Properties
% 7.86/1.72
% 7.86/1.72
% 7.86/1.72 clauses 304
% 7.86/1.72 conjectures 6
% 7.86/1.72 EPR 26
% 7.86/1.72 Horn 277
% 7.86/1.72 unary 80
% 7.86/1.72 binary 176
% 7.86/1.72 lits 577
% 7.86/1.72 lits eq 164
% 7.86/1.72 fd_pure 0
% 7.86/1.72 fd_pseudo 0
% 7.86/1.72 fd_cond 21
% 7.86/1.72 fd_pseudo_cond 41
% 7.86/1.72 AC symbols 0
% 7.86/1.72
% 7.86/1.72 ------ Schedule dynamic 5 is on
% 7.86/1.72
% 7.86/1.72 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.86/1.72
% 7.86/1.72
% 7.86/1.72 ------
% 7.86/1.72 Current options:
% 7.86/1.72 ------
% 7.86/1.72
% 7.86/1.72
% 7.86/1.72
% 7.86/1.72
% 7.86/1.72 ------ Proving...
% 7.86/1.72
% 7.86/1.72
% 7.86/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 7.86/1.72
% 7.86/1.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.86/1.72
% 7.86/1.72
%------------------------------------------------------------------------------