TSTP Solution File: SET839-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET839-2 : 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 : Fri May 3 03:01:44 EDT 2024
% Result : Unsatisfiable 2.15s 1.01s
% Output : CNFRefutation 2.15s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_51,plain,
c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
cnf(c_110,plain,
tc_set(t_a) = sP0_iProver_def,
definition ).
cnf(c_111,plain,
tc_set(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_112,negated_conjecture,
( ~ c_in(X0,v_S,sP0_iProver_def)
| ~ c_in(X1,v_S,sP0_iProver_def)
| c_lessequals(X0,X1,sP0_iProver_def) ),
inference(demodulation,[status(thm)],[c_50,c_110]) ).
cnf(c_113,negated_conjecture,
~ c_lessequals(v_S,c_insert(X0,c_emptyset,sP0_iProver_def),sP1_iProver_def),
inference(demodulation,[status(thm)],[c_49,c_111]) ).
cnf(c_268,plain,
( ~ c_in(X0,v_S,sP0_iProver_def)
| c_lessequals(c_Main_OsubsetI__1(v_S,X1,sP0_iProver_def),X0,sP0_iProver_def)
| c_lessequals(v_S,X1,tc_set(sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_52,c_112]) ).
cnf(c_269,plain,
( ~ c_in(X0,v_S,sP0_iProver_def)
| c_lessequals(c_Main_OsubsetI__1(v_S,X1,sP0_iProver_def),X0,sP0_iProver_def)
| c_lessequals(v_S,X1,sP1_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_268,c_111]) ).
cnf(c_297,plain,
( ~ c_lessequals(X0,X1,tc_set(t_a))
| ~ c_lessequals(X1,X0,sP0_iProver_def)
| X0 = X1 ),
inference(superposition,[status(thm)],[c_110,c_54]) ).
cnf(c_303,plain,
( ~ c_lessequals(X0,X1,sP0_iProver_def)
| ~ c_lessequals(X1,X0,sP0_iProver_def)
| X0 = X1 ),
inference(light_normalisation,[status(thm)],[c_297,c_110]) ).
cnf(c_320,plain,
( ~ c_lessequals(X0,c_Main_OsubsetI__1(v_S,X1,sP0_iProver_def),sP0_iProver_def)
| ~ c_in(X0,v_S,sP0_iProver_def)
| c_Main_OsubsetI__1(v_S,X1,sP0_iProver_def) = X0
| c_lessequals(v_S,X1,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_269,c_303]) ).
cnf(c_335,plain,
( ~ c_in(c_Main_OsubsetI__1(v_S,X0,sP0_iProver_def),v_S,sP0_iProver_def)
| ~ c_in(c_Main_OsubsetI__1(v_S,X1,sP0_iProver_def),v_S,sP0_iProver_def)
| c_Main_OsubsetI__1(v_S,X0,sP0_iProver_def) = c_Main_OsubsetI__1(v_S,X1,sP0_iProver_def)
| c_lessequals(v_S,X0,sP1_iProver_def)
| c_lessequals(v_S,X1,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_269,c_320]) ).
cnf(c_353,plain,
( ~ c_in(c_Main_OsubsetI__1(v_S,X0,sP0_iProver_def),v_S,sP0_iProver_def)
| c_Main_OsubsetI__1(v_S,X0,sP0_iProver_def) = c_Main_OsubsetI__1(v_S,X1,sP0_iProver_def)
| c_lessequals(v_S,X1,tc_set(sP0_iProver_def))
| c_lessequals(v_S,X0,sP1_iProver_def)
| c_lessequals(v_S,X1,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_52,c_335]) ).
cnf(c_354,plain,
( ~ c_in(c_Main_OsubsetI__1(v_S,X0,sP0_iProver_def),v_S,sP0_iProver_def)
| c_Main_OsubsetI__1(v_S,X0,sP0_iProver_def) = c_Main_OsubsetI__1(v_S,X1,sP0_iProver_def)
| c_lessequals(v_S,X0,sP1_iProver_def)
| c_lessequals(v_S,X1,sP1_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_353,c_111]) ).
cnf(c_371,plain,
( c_Main_OsubsetI__1(v_S,X0,sP0_iProver_def) = c_Main_OsubsetI__1(v_S,X1,sP0_iProver_def)
| c_lessequals(v_S,X0,tc_set(sP0_iProver_def))
| c_lessequals(v_S,X0,sP1_iProver_def)
| c_lessequals(v_S,X1,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_52,c_354]) ).
cnf(c_372,plain,
( c_Main_OsubsetI__1(v_S,X0,sP0_iProver_def) = c_Main_OsubsetI__1(v_S,X1,sP0_iProver_def)
| c_lessequals(v_S,X0,sP1_iProver_def)
| c_lessequals(v_S,X1,sP1_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_371,c_111]) ).
cnf(c_388,plain,
( c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,sP0_iProver_def),sP0_iProver_def) = c_Main_OsubsetI__1(v_S,X1,sP0_iProver_def)
| c_lessequals(v_S,X1,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_372,c_113]) ).
cnf(c_403,plain,
c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,sP0_iProver_def),sP0_iProver_def) = c_Main_OsubsetI__1(v_S,c_insert(X1,c_emptyset,sP0_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_388,c_113]) ).
cnf(c_420,plain,
( ~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,sP0_iProver_def),sP0_iProver_def),c_insert(X1,c_emptyset,sP0_iProver_def),sP0_iProver_def)
| c_lessequals(v_S,c_insert(X1,c_emptyset,sP0_iProver_def),tc_set(sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_403,c_53]) ).
cnf(c_431,plain,
( ~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,sP0_iProver_def),sP0_iProver_def),c_insert(X1,c_emptyset,sP0_iProver_def),sP0_iProver_def)
| c_lessequals(v_S,c_insert(X1,c_emptyset,sP0_iProver_def),sP1_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_420,c_111]) ).
cnf(c_432,plain,
~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,sP0_iProver_def),sP0_iProver_def),c_insert(X1,c_emptyset,sP0_iProver_def),sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_431,c_113]) ).
cnf(c_448,plain,
$false,
inference(superposition,[status(thm)],[c_51,c_432]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SET839-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.09 % Command : run_iprover %s %d THM
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Thu May 2 20:34:53 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.14/0.36 Running first-order theorem proving
% 0.14/0.36 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.15/1.01 % SZS status Started for theBenchmark.p
% 2.15/1.01 % SZS status Unsatisfiable for theBenchmark.p
% 2.15/1.01
% 2.15/1.01 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.15/1.01
% 2.15/1.01 ------ iProver source info
% 2.15/1.01
% 2.15/1.01 git: date: 2024-05-02 19:28:25 +0000
% 2.15/1.01 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.15/1.01 git: non_committed_changes: false
% 2.15/1.01
% 2.15/1.01 ------ Parsing...successful
% 2.15/1.01
% 2.15/1.01
% 2.15/1.01
% 2.15/1.01 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.15/1.01
% 2.15/1.01 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.15/1.01
% 2.15/1.01 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.15/1.01 ------ Proving...
% 2.15/1.01 ------ Problem Properties
% 2.15/1.01
% 2.15/1.01
% 2.15/1.01 clauses 8
% 2.15/1.01 conjectures 2
% 2.15/1.01 EPR 1
% 2.15/1.01 Horn 7
% 2.15/1.01 unary 4
% 2.15/1.01 binary 2
% 2.15/1.01 lits 14
% 2.15/1.01 lits eq 3
% 2.15/1.01 fd_pure 0
% 2.15/1.01 fd_pseudo 0
% 2.15/1.01 fd_cond 0
% 2.15/1.01 fd_pseudo_cond 1
% 2.15/1.01 AC symbols 0
% 2.15/1.01
% 2.15/1.01 ------ Schedule dynamic 5 is on
% 2.15/1.01
% 2.15/1.01 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.15/1.01
% 2.15/1.01
% 2.15/1.01 ------
% 2.15/1.01 Current options:
% 2.15/1.01 ------
% 2.15/1.01
% 2.15/1.01
% 2.15/1.01
% 2.15/1.01
% 2.15/1.01 ------ Proving...
% 2.15/1.01
% 2.15/1.01
% 2.15/1.01 % SZS status Unsatisfiable for theBenchmark.p
% 2.15/1.01
% 2.15/1.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.15/1.01
% 2.15/1.01
%------------------------------------------------------------------------------