TSTP Solution File: SET821-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET821-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 03:01:38 EDT 2024
% Result : Unsatisfiable 2.33s 1.13s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 12 unt; 8 nHn; 21 RR)
% Number of literals : 53 ( 12 equ; 27 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 : 36 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ c_less(X0,X0,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
cnf(c_53,plain,
c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
cnf(c_55,negated_conjecture,
c_less(v_a,v_b,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_56,negated_conjecture,
c_less(v_b,v_c,tc_IntDef_Oint),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_58,plain,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/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_265,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) ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_458,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_265]) ).
cnf(c_514,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_458,c_54]) ).
cnf(c_516,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_514,c_178]) ).
cnf(c_529,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_516,c_54]) ).
cnf(c_530,plain,
( c_in(v_a,X0,tc_IntDef_Oint)
| c_in(v_c,X0,tc_IntDef_Oint) ),
inference(forward_subsumption_resolution,[status(thm)],[c_529,c_173]) ).
cnf(c_538,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_530,c_50]) ).
cnf(c_551,plain,
( ~ c_in(v_a,X0,tc_IntDef_Oint)
| ~ c_in(v_c,X0,tc_IntDef_Oint) ),
inference(superposition,[status(thm)],[c_538,c_50]) ).
cnf(c_561,plain,
~ c_in(v_c,c_insert(v_a,X0,tc_IntDef_Oint),tc_IntDef_Oint),
inference(superposition,[status(thm)],[c_53,c_551]) ).
cnf(c_577,plain,
~ c_in(v_c,X0,tc_IntDef_Oint),
inference(superposition,[status(thm)],[c_52,c_561]) ).
cnf(c_579,plain,
c_in(v_a,X0,tc_IntDef_Oint),
inference(backward_subsumption_resolution,[status(thm)],[c_530,c_577]) ).
cnf(c_583,plain,
~ c_in(v_a,X0,tc_IntDef_Oint),
inference(superposition,[status(thm)],[c_579,c_50]) ).
cnf(c_585,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_583,c_579]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SET821-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 21:03:20 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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
% 2.33/1.13 % SZS status Started for theBenchmark.p
% 2.33/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 2.33/1.13
% 2.33/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.33/1.13
% 2.33/1.13 ------ iProver source info
% 2.33/1.13
% 2.33/1.13 git: date: 2024-05-02 19:28:25 +0000
% 2.33/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.33/1.13 git: non_committed_changes: false
% 2.33/1.13
% 2.33/1.13 ------ Parsing...successful
% 2.33/1.13
% 2.33/1.13
% 2.33/1.13
% 2.33/1.13 ------ 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
% 2.33/1.13
% 2.33/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.33/1.13
% 2.33/1.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.33/1.13 ------ Proving...
% 2.33/1.13 ------ Problem Properties
% 2.33/1.13
% 2.33/1.13
% 2.33/1.13 clauses 8
% 2.33/1.13 conjectures 1
% 2.33/1.13 EPR 3
% 2.33/1.13 Horn 5
% 2.33/1.13 unary 3
% 2.33/1.13 binary 3
% 2.33/1.13 lits 15
% 2.33/1.13 lits eq 3
% 2.33/1.13 fd_pure 0
% 2.33/1.13 fd_pseudo 0
% 2.33/1.13 fd_cond 0
% 2.33/1.13 fd_pseudo_cond 1
% 2.33/1.13 AC symbols 0
% 2.33/1.13
% 2.33/1.13 ------ Schedule dynamic 5 is on
% 2.33/1.13
% 2.33/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.33/1.13
% 2.33/1.13
% 2.33/1.13 ------
% 2.33/1.13 Current options:
% 2.33/1.13 ------
% 2.33/1.13
% 2.33/1.13
% 2.33/1.13
% 2.33/1.13
% 2.33/1.13 ------ Proving...
% 2.33/1.13
% 2.33/1.13
% 2.33/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 2.33/1.13
% 2.33/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.33/1.13
% 2.33/1.13
%------------------------------------------------------------------------------