TSTP Solution File: GRP034-3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP034-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 00:56:45 EDT 2023
% Result : Unsatisfiable 2.15s 1.16s
% Output : CNFRefutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 8 unt; 0 nHn; 10 RR)
% Number of literals : 26 ( 3 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).
cnf(c_50,negated_conjecture,
~ subgroup_member(inverse(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_inverse_is_in_subgroup) ).
cnf(c_51,plain,
( ~ product(X0,inverse(X1),X2)
| ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
cnf(c_52,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(c_55,plain,
product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(c_65,plain,
( multiply(X0,inverse(X1)) != X2
| ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(X2) ),
inference(well_definedness,[status(thm)],[c_51]) ).
cnf(c_67,plain,
multiply(identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_52]) ).
cnf(c_70,plain,
multiply(X0,inverse(X0)) = identity,
inference(well_definedness,[status(thm)],[c_55]) ).
cnf(c_127,plain,
( ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(multiply(X0,inverse(X1))) ),
inference(unflattening,[status(thm)],[c_65]) ).
cnf(c_279,plain,
( ~ subgroup_member(X0)
| ~ subgroup_member(identity)
| subgroup_member(inverse(X0)) ),
inference(superposition,[status(thm)],[c_67,c_127]) ).
cnf(c_281,plain,
( ~ subgroup_member(X0)
| subgroup_member(identity) ),
inference(superposition,[status(thm)],[c_70,c_127]) ).
cnf(c_290,plain,
( ~ subgroup_member(X0)
| subgroup_member(inverse(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_279,c_281,c_279]) ).
cnf(c_297,plain,
~ subgroup_member(a),
inference(superposition,[status(thm)],[c_290,c_50]) ).
cnf(c_298,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_297,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP034-3 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 00:16:41 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.15/1.16 % SZS status Started for theBenchmark.p
% 2.15/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.15/1.16
% 2.15/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.15/1.16
% 2.15/1.16 ------ iProver source info
% 2.15/1.16
% 2.15/1.16 git: date: 2023-05-31 18:12:56 +0000
% 2.15/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.15/1.16 git: non_committed_changes: false
% 2.15/1.16 git: last_make_outside_of_git: false
% 2.15/1.16
% 2.15/1.16 ------ Parsing...successful
% 2.15/1.16
% 2.15/1.16
% 2.15/1.16
% 2.15/1.16 ------ Preprocessing... sup_sim: 5 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.15/1.16
% 2.15/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.15/1.16
% 2.15/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.15/1.16 ------ Proving...
% 2.15/1.16 ------ Problem Properties
% 2.15/1.16
% 2.15/1.16
% 2.15/1.16 clauses 8
% 2.15/1.16 conjectures 1
% 2.15/1.16 EPR 1
% 2.15/1.16 Horn 8
% 2.15/1.16 unary 7
% 2.15/1.16 binary 0
% 2.15/1.16 lits 10
% 2.15/1.16 lits eq 5
% 2.15/1.16 fd_pure 0
% 2.15/1.16 fd_pseudo 0
% 2.15/1.16 fd_cond 0
% 2.15/1.16 fd_pseudo_cond 0
% 2.15/1.16 AC symbols 0
% 2.15/1.16
% 2.15/1.16 ------ Schedule dynamic 5 is on
% 2.15/1.16
% 2.15/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.15/1.16
% 2.15/1.16
% 2.15/1.16 ------
% 2.15/1.16 Current options:
% 2.15/1.16 ------
% 2.15/1.16
% 2.15/1.16
% 2.15/1.16
% 2.15/1.16
% 2.15/1.16 ------ Proving...
% 2.15/1.16
% 2.15/1.16
% 2.15/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.15/1.16
% 2.15/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.15/1.16
% 2.15/1.16
%------------------------------------------------------------------------------