TSTP Solution File: SET839-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET839-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 15:10:11 EDT 2023
% Result : Unsatisfiable 1.99s 1.14s
% Output : CNFRefutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 5 unt; 6 nHn; 9 RR)
% Number of literals : 34 ( 6 equ; 13 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 31 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_50,negated_conjecture,
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a))
| c_lessequals(X0,X1,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_51,plain,
c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
cnf(c_52,plain,
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(c_53,plain,
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(c_54,plain,
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
cnf(c_254,plain,
( ~ c_in(X0,v_S,tc_set(t_a))
| c_lessequals(X0,c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)),tc_set(t_a))
| c_lessequals(v_S,X1,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_277,plain,
( ~ c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),X1,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a))
| c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)) = X1
| c_lessequals(v_S,X0,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_254,c_54]) ).
cnf(c_292,plain,
( ~ c_in(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)),v_S,tc_set(t_a))
| c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)) = c_Main_OsubsetI__1(v_S,X1,tc_set(t_a))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| c_lessequals(v_S,X1,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_254,c_277]) ).
cnf(c_305,plain,
( c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)) = c_Main_OsubsetI__1(v_S,X1,tc_set(t_a))
| c_lessequals(v_S,X0,tc_set(tc_set(t_a)))
| c_lessequals(v_S,X1,tc_set(tc_set(t_a))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_292,c_52,c_52]) ).
cnf(c_311,plain,
( c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)) = c_Main_OsubsetI__1(v_S,X1,tc_set(t_a))
| c_lessequals(v_S,X1,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_305,c_49]) ).
cnf(c_327,plain,
c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)) = c_Main_OsubsetI__1(v_S,c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(t_a)),
inference(superposition,[status(thm)],[c_311,c_49]) ).
cnf(c_344,plain,
( ~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(t_a))
| c_lessequals(v_S,c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_327,c_53]) ).
cnf(c_351,plain,
~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a)),c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(t_a)),
inference(forward_subsumption_resolution,[status(thm)],[c_344,c_49]) ).
cnf(c_366,plain,
$false,
inference(superposition,[status(thm)],[c_51,c_351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET839-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n021.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
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 12:35:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.99/1.14 % SZS status Started for theBenchmark.p
% 1.99/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 1.99/1.14
% 1.99/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.99/1.14
% 1.99/1.14 ------ iProver source info
% 1.99/1.14
% 1.99/1.14 git: date: 2023-05-31 18:12:56 +0000
% 1.99/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.99/1.14 git: non_committed_changes: false
% 1.99/1.14 git: last_make_outside_of_git: false
% 1.99/1.14
% 1.99/1.14 ------ Parsing...successful
% 1.99/1.14
% 1.99/1.14
% 1.99/1.14
% 1.99/1.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 1.99/1.14
% 1.99/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.99/1.14
% 1.99/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.99/1.14 ------ Proving...
% 1.99/1.14 ------ Problem Properties
% 1.99/1.14
% 1.99/1.14
% 1.99/1.14 clauses 6
% 1.99/1.14 conjectures 2
% 1.99/1.14 EPR 0
% 1.99/1.14 Horn 5
% 1.99/1.14 unary 2
% 1.99/1.14 binary 2
% 1.99/1.14 lits 12
% 1.99/1.14 lits eq 1
% 1.99/1.14 fd_pure 0
% 1.99/1.14 fd_pseudo 0
% 1.99/1.14 fd_cond 0
% 1.99/1.14 fd_pseudo_cond 1
% 1.99/1.14 AC symbols 0
% 1.99/1.14
% 1.99/1.14 ------ Schedule dynamic 5 is on
% 1.99/1.14
% 1.99/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.99/1.14
% 1.99/1.14
% 1.99/1.14 ------
% 1.99/1.14 Current options:
% 1.99/1.14 ------
% 1.99/1.14
% 1.99/1.14
% 1.99/1.14
% 1.99/1.14
% 1.99/1.14 ------ Proving...
% 1.99/1.14
% 1.99/1.14
% 1.99/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 1.99/1.14
% 1.99/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.99/1.14
% 1.99/1.14
%------------------------------------------------------------------------------