TSTP Solution File: SET821-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET821-2 : 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 15:10:02 EDT 2023
% Result : Unsatisfiable 1.37s 1.20s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 12 unt; 7 nHn; 20 RR)
% Number of literals : 50 ( 12 equ; 26 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 35 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ c_less(X0,X0,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
cnf(c_50,plain,
( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
cnf(c_52,plain,
( ~ c_in(X0,X1,X2)
| c_in(X0,c_insert(X3,X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
cnf(c_53,plain,
c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
cnf(c_54,plain,
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| X0 = X1
| c_in(X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
cnf(c_55,negated_conjecture,
c_less(v_a,v_b,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_56,negated_conjecture,
c_less(v_b,v_c,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_57,negated_conjecture,
( ~ c_in(v_b,X0,tc_IntDef_Oint)
| c_in(v_a,X0,tc_IntDef_Oint)
| c_in(v_c,X0,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_58,plain,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
cnf(c_69,plain,
( ~ c_less(X0,X0,X1)
| ~ class_Orderings_Oorder(X1) ),
inference(prop_impl_just,[status(thm)],[c_49]) ).
cnf(c_165,plain,
( X0 != tc_IntDef_Oint
| ~ c_less(X1,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_69,c_58]) ).
cnf(c_166,plain,
~ c_less(X0,X0,tc_IntDef_Oint),
inference(unflattening,[status(thm)],[c_165]) ).
cnf(c_172,plain,
( X0 != v_a
| X0 != v_b
| tc_IntDef_Oint != tc_IntDef_Oint ),
inference(resolution_lifted,[status(thm)],[c_55,c_166]) ).
cnf(c_173,plain,
v_a != v_b,
inference(unflattening,[status(thm)],[c_172]) ).
cnf(c_177,plain,
( X0 != v_b
| X0 != v_c
| tc_IntDef_Oint != tc_IntDef_Oint ),
inference(resolution_lifted,[status(thm)],[c_56,c_166]) ).
cnf(c_178,plain,
v_b != v_c,
inference(unflattening,[status(thm)],[c_177]) ).
cnf(c_457,plain,
( c_in(v_a,c_insert(v_b,X0,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_c,c_insert(v_b,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(superposition,[status(thm)],[c_53,c_57]) ).
cnf(c_513,plain,
( v_b = v_c
| c_in(v_a,c_insert(v_b,X0,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_c,X0,tc_IntDef_Oint) ),
inference(superposition,[status(thm)],[c_457,c_54]) ).
cnf(c_515,plain,
( c_in(v_a,c_insert(v_b,X0,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_c,X0,tc_IntDef_Oint) ),
inference(forward_subsumption_resolution,[status(thm)],[c_513,c_178]) ).
cnf(c_528,plain,
( v_a = v_b
| c_in(v_a,X0,tc_IntDef_Oint)
| c_in(v_c,X0,tc_IntDef_Oint) ),
inference(superposition,[status(thm)],[c_515,c_54]) ).
cnf(c_529,plain,
( c_in(v_a,X0,tc_IntDef_Oint)
| c_in(v_c,X0,tc_IntDef_Oint) ),
inference(forward_subsumption_resolution,[status(thm)],[c_528,c_173]) ).
cnf(c_537,plain,
( ~ c_in(v_c,X0,tc_IntDef_Oint)
| c_in(v_a,c_uminus(X0,tc_set(tc_IntDef_Oint)),tc_IntDef_Oint) ),
inference(superposition,[status(thm)],[c_529,c_50]) ).
cnf(c_550,plain,
( ~ c_in(v_a,X0,tc_IntDef_Oint)
| ~ c_in(v_c,X0,tc_IntDef_Oint) ),
inference(superposition,[status(thm)],[c_537,c_50]) ).
cnf(c_560,plain,
~ c_in(v_c,c_insert(v_a,X0,tc_IntDef_Oint),tc_IntDef_Oint),
inference(superposition,[status(thm)],[c_53,c_550]) ).
cnf(c_576,plain,
~ c_in(v_c,X0,tc_IntDef_Oint),
inference(superposition,[status(thm)],[c_52,c_560]) ).
cnf(c_578,plain,
c_in(v_a,X0,tc_IntDef_Oint),
inference(backward_subsumption_resolution,[status(thm)],[c_529,c_576]) ).
cnf(c_582,plain,
~ c_in(v_a,X0,tc_IntDef_Oint),
inference(superposition,[status(thm)],[c_578,c_50]) ).
cnf(c_584,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_582,c_578]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET821-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 14:58:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.37/1.20 % SZS status Started for theBenchmark.p
% 1.37/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 1.37/1.20
% 1.37/1.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.37/1.20
% 1.37/1.20 ------ iProver source info
% 1.37/1.20
% 1.37/1.20 git: date: 2023-05-31 18:12:56 +0000
% 1.37/1.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.37/1.20 git: non_committed_changes: false
% 1.37/1.20 git: last_make_outside_of_git: false
% 1.37/1.20
% 1.37/1.20 ------ Parsing...successful
% 1.37/1.20
% 1.37/1.20
% 1.37/1.20
% 1.37/1.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 1.37/1.20
% 1.37/1.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.37/1.20
% 1.37/1.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.37/1.20 ------ Proving...
% 1.37/1.20 ------ Problem Properties
% 1.37/1.20
% 1.37/1.20
% 1.37/1.20 clauses 8
% 1.37/1.20 conjectures 1
% 1.37/1.20 EPR 3
% 1.37/1.20 Horn 5
% 1.37/1.20 unary 3
% 1.37/1.20 binary 3
% 1.37/1.20 lits 15
% 1.37/1.20 lits eq 3
% 1.37/1.20 fd_pure 0
% 1.37/1.20 fd_pseudo 0
% 1.37/1.20 fd_cond 0
% 1.37/1.20 fd_pseudo_cond 1
% 1.37/1.20 AC symbols 0
% 1.37/1.20
% 1.37/1.20 ------ Schedule dynamic 5 is on
% 1.37/1.20
% 1.37/1.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.37/1.20
% 1.37/1.20
% 1.37/1.20 ------
% 1.37/1.20 Current options:
% 1.37/1.20 ------
% 1.37/1.20
% 1.37/1.20
% 1.37/1.20
% 1.37/1.20
% 1.37/1.20 ------ Proving...
% 1.37/1.20
% 1.37/1.20
% 1.37/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 1.37/1.20
% 1.37/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.37/1.20
% 1.37/1.20
%------------------------------------------------------------------------------