TSTP Solution File: SET839-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET839-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 15:10:10 EDT 2023
% Result : Unsatisfiable 6.12s 1.65s
% Output : CNFRefutation 6.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 17 ( 5 unt; 7 nHn; 10 RR)
% Number of literals : 39 ( 6 equ; 15 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 36 ( 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_152,plain,
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_less(X1,X0,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetE_0) ).
cnf(c_154,plain,
( ~ c_lessequals(X0,X1,tc_set(X2))
| X0 = X1
| c_less(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetI_0) ).
cnf(c_159,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_160,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_1385,plain,
c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertCI_1) ).
cnf(c_27097,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_159,c_50]) ).
cnf(c_27113,plain,
( ~ c_less(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_lessequals(v_S,X0,tc_set(tc_set(t_a))) ),
inference(superposition,[status(thm)],[c_27097,c_152]) ).
cnf(c_28239,plain,
( ~ c_in(X0,v_S,tc_set(t_a))
| c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)) = X0
| c_less(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_27097,c_154]) ).
cnf(c_28768,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_28239,c_27113]) ).
cnf(c_37468,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_28768,c_159,c_159]) ).
cnf(c_37479,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_37468,c_49]) ).
cnf(c_37577,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_37479,c_49]) ).
cnf(c_37671,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_37577,c_160]) ).
cnf(c_37690,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_37671,c_49]) ).
cnf(c_37913,plain,
$false,
inference(superposition,[status(thm)],[c_1385,c_37690]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET839-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 09:24:03 EDT 2023
% 0.13/0.35 % 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
% 6.12/1.65 % SZS status Started for theBenchmark.p
% 6.12/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 6.12/1.65
% 6.12/1.65 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 6.12/1.65
% 6.12/1.65 ------ iProver source info
% 6.12/1.65
% 6.12/1.65 git: date: 2023-05-31 18:12:56 +0000
% 6.12/1.65 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 6.12/1.65 git: non_committed_changes: false
% 6.12/1.65 git: last_make_outside_of_git: false
% 6.12/1.65
% 6.12/1.65 ------ Parsing...successful
% 6.12/1.65
% 6.12/1.65
% 6.12/1.65
% 6.12/1.65 ------ 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
% 6.12/1.65
% 6.12/1.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 6.12/1.65
% 6.12/1.65 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.12/1.65 ------ Proving...
% 6.12/1.65 ------ Problem Properties
% 6.12/1.65
% 6.12/1.65
% 6.12/1.65 clauses 297
% 6.12/1.65 conjectures 2
% 6.12/1.65 EPR 26
% 6.12/1.65 Horn 270
% 6.12/1.65 unary 76
% 6.12/1.65 binary 173
% 6.12/1.65 lits 566
% 6.12/1.65 lits eq 162
% 6.12/1.65 fd_pure 0
% 6.12/1.65 fd_pseudo 0
% 6.12/1.65 fd_cond 21
% 6.12/1.65 fd_pseudo_cond 40
% 6.12/1.65 AC symbols 0
% 6.12/1.65
% 6.12/1.65 ------ Schedule dynamic 5 is on
% 6.12/1.65
% 6.12/1.65 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.12/1.65
% 6.12/1.65
% 6.12/1.65 ------
% 6.12/1.65 Current options:
% 6.12/1.65 ------
% 6.12/1.65
% 6.12/1.65
% 6.12/1.65
% 6.12/1.65
% 6.12/1.65 ------ Proving...
% 6.12/1.65
% 6.12/1.65
% 6.12/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 6.12/1.65
% 6.12/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.12/1.65
% 6.12/1.65
%------------------------------------------------------------------------------