TSTP Solution File: SET825-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET825-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 15:10:03 EDT 2023
% Result : Unsatisfiable 1.75s 1.15s
% Output : CNFRefutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 8 unt; 4 nHn; 14 RR)
% Number of literals : 26 ( 8 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OIdI_0) ).
cnf(c_50,plain,
( ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv__iff1_0) ).
cnf(c_51,negated_conjecture,
v_Q(v_n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_52,negated_conjecture,
~ v_Q(v_m),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_53,negated_conjecture,
( ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_x(X0),v_xa(X0),tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_54,negated_conjecture,
( ~ c_in(c_Pair(c_Suc(v_x(X0)),c_Suc(v_xa(X0)),tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X0,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_103,plain,
v_n != v_m,
inference(resolution_lifted,[status(thm)],[c_51,c_52]) ).
cnf(c_293,plain,
( ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| v_x(c_Relation_OId) = v_xa(c_Relation_OId)
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
inference(superposition,[status(thm)],[c_53,c_50]) ).
cnf(c_294,plain,
( v_x(c_Relation_OId) = v_xa(c_Relation_OId)
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_293,c_49]) ).
cnf(c_301,plain,
( v_x(c_Relation_OId) = v_xa(c_Relation_OId)
| v_n = v_m ),
inference(superposition,[status(thm)],[c_294,c_50]) ).
cnf(c_302,plain,
v_x(c_Relation_OId) = v_xa(c_Relation_OId),
inference(forward_subsumption_resolution,[status(thm)],[c_301,c_103]) ).
cnf(c_303,plain,
( ~ c_in(c_Pair(c_Suc(v_x(c_Relation_OId)),c_Suc(v_x(c_Relation_OId)),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
inference(superposition,[status(thm)],[c_302,c_54]) ).
cnf(c_305,plain,
c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)),
inference(forward_subsumption_resolution,[status(thm)],[c_303,c_49,c_49]) ).
cnf(c_306,plain,
v_n = v_m,
inference(superposition,[status(thm)],[c_305,c_50]) ).
cnf(c_307,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_306,c_103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET825-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n018.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 11:09:15 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.75/1.15 % SZS status Started for theBenchmark.p
% 1.75/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 1.75/1.15
% 1.75/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.75/1.15
% 1.75/1.15 ------ iProver source info
% 1.75/1.15
% 1.75/1.15 git: date: 2023-05-31 18:12:56 +0000
% 1.75/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.75/1.15 git: non_committed_changes: false
% 1.75/1.15 git: last_make_outside_of_git: false
% 1.75/1.15
% 1.75/1.15 ------ Parsing...successful
% 1.75/1.15
% 1.75/1.15
% 1.75/1.15
% 1.75/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 1.75/1.15
% 1.75/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.75/1.15
% 1.75/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.75/1.15 ------ Proving...
% 1.75/1.15 ------ Problem Properties
% 1.75/1.15
% 1.75/1.15
% 1.75/1.15 clauses 5
% 1.75/1.15 conjectures 2
% 1.75/1.15 EPR 1
% 1.75/1.15 Horn 4
% 1.75/1.15 unary 2
% 1.75/1.15 binary 1
% 1.75/1.15 lits 10
% 1.75/1.15 lits eq 2
% 1.75/1.15 fd_pure 0
% 1.75/1.15 fd_pseudo 0
% 1.75/1.15 fd_cond 0
% 1.75/1.15 fd_pseudo_cond 1
% 1.75/1.15 AC symbols 0
% 1.75/1.15
% 1.75/1.15 ------ Schedule dynamic 5 is on
% 1.75/1.15
% 1.75/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.75/1.15
% 1.75/1.15
% 1.75/1.15 ------
% 1.75/1.15 Current options:
% 1.75/1.15 ------
% 1.75/1.15
% 1.75/1.15
% 1.75/1.15
% 1.75/1.15
% 1.75/1.15 ------ Proving...
% 1.75/1.15
% 1.75/1.15
% 1.75/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 1.75/1.15
% 1.75/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.75/1.15
% 1.75/1.15
%------------------------------------------------------------------------------