TSTP Solution File: SET834-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET834-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 03:01:42 EDT 2024
% Result : Unsatisfiable 97.14s 13.88s
% Output : CNFRefutation 97.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 7 unt; 4 nHn; 16 RR)
% Number of literals : 42 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 40 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_52,negated_conjecture,
~ c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_53,negated_conjecture,
~ c_in(v_x,v_Y,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_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_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_15180,plain,
( ~ c_lessequals(v_X,X0,tc_set(t_a))
| ~ c_in(v_x,v_X,t_a)
| c_in(v_x,X0,t_a) ),
inference(instantiation,[status(thm)],[c_162]) ).
cnf(c_31657,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_31658,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_31824,plain,
c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(superposition,[status(thm)],[c_163,c_31657]) ).
cnf(c_31937,plain,
c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(superposition,[status(thm)],[c_163,c_31658]) ).
cnf(c_32898,plain,
( ~ c_lessequals(v_Y,c_union(v_Z,X0,t_a),tc_set(t_a))
| c_lessequals(v_X,c_union(v_Z,X0,t_a),tc_set(t_a)) ),
inference(superposition,[status(thm)],[c_31937,c_54]) ).
cnf(c_32904,plain,
c_lessequals(v_X,c_union(v_Z,v_Y,t_a),tc_set(t_a)),
inference(superposition,[status(thm)],[c_31824,c_32898]) ).
cnf(c_47497,plain,
( ~ c_in(v_x,c_union(X0,v_Y,t_a),t_a)
| c_in(v_x,X0,t_a)
| c_in(v_x,v_Y,t_a) ),
inference(instantiation,[status(thm)],[c_1382]) ).
cnf(c_60196,plain,
( ~ c_in(v_x,c_union(v_Z,v_Y,t_a),t_a)
| c_in(v_x,v_Y,t_a)
| c_in(v_x,v_Z,t_a) ),
inference(instantiation,[status(thm)],[c_47497]) ).
cnf(c_68202,plain,
( ~ c_lessequals(v_X,c_union(v_Z,v_Y,t_a),tc_set(t_a))
| ~ c_in(v_x,v_X,t_a)
| c_in(v_x,c_union(v_Z,v_Y,t_a),t_a) ),
inference(instantiation,[status(thm)],[c_15180]) ).
cnf(c_68203,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_68202,c_60196,c_32904,c_52,c_53,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET834-1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 20:13:19 EDT 2024
% 0.13/0.35 % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 97.14/13.88 % SZS status Started for theBenchmark.p
% 97.14/13.88 % SZS status Unsatisfiable for theBenchmark.p
% 97.14/13.88
% 97.14/13.88 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 97.14/13.88
% 97.14/13.88 ------ iProver source info
% 97.14/13.88
% 97.14/13.88 git: date: 2024-05-02 19:28:25 +0000
% 97.14/13.88 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 97.14/13.88 git: non_committed_changes: false
% 97.14/13.88
% 97.14/13.88 ------ Parsing...successful
% 97.14/13.88
% 97.14/13.88
% 97.14/13.88
% 97.14/13.88 ------ Preprocessing... sup_sim: 1 sf_s rm: 208 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 sup_sim: 0 sf_s rm: 69 0s sf_e pe_s pe_e
% 97.14/13.88
% 97.14/13.88 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 97.14/13.88
% 97.14/13.88 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 97.14/13.88 ------ Proving...
% 97.14/13.88 ------ Problem Properties
% 97.14/13.88
% 97.14/13.88
% 97.14/13.88 clauses 301
% 97.14/13.88 conjectures 6
% 97.14/13.88 EPR 29
% 97.14/13.88 Horn 274
% 97.14/13.88 unary 80
% 97.14/13.88 binary 173
% 97.14/13.88 lits 570
% 97.14/13.88 lits eq 162
% 97.14/13.88 fd_pure 0
% 97.14/13.88 fd_pseudo 0
% 97.14/13.88 fd_cond 21
% 97.14/13.88 fd_pseudo_cond 40
% 97.14/13.88 AC symbols 0
% 97.14/13.88
% 97.14/13.88 ------ Input Options Time Limit: Unbounded
% 97.14/13.88
% 97.14/13.88
% 97.14/13.88 ------
% 97.14/13.88 Current options:
% 97.14/13.88 ------
% 97.14/13.88
% 97.14/13.88
% 97.14/13.88
% 97.14/13.88
% 97.14/13.88 ------ Proving...
% 97.14/13.88
% 97.14/13.88
% 97.14/13.88 % SZS status Unsatisfiable for theBenchmark.p
% 97.14/13.88
% 97.14/13.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 97.14/13.88
% 97.14/13.88
%------------------------------------------------------------------------------