TSTP Solution File: GRP037-3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP037-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 02:19:51 EDT 2024
% Result : Unsatisfiable 3.14s 1.15s
% Output : CNFRefutation 3.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
( ~ subgroup_member(X0)
| product(X0,another_identity,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_right_identity) ).
cnf(c_52,plain,
( ~ subgroup_member(X0)
| product(another_inverse(X0),X0,another_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_left_inverse) ).
cnf(c_55,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| X0 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_56,plain,
subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).
cnf(c_57,plain,
subgroup_member(another_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_identity_in_subgroup) ).
cnf(c_58,negated_conjecture,
another_inverse(a) != inverse(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_inverses_are_equal) ).
cnf(c_59,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_60,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(c_62,plain,
product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_inverse) ).
cnf(c_63,plain,
product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(c_79,plain,
( ~ subgroup_member(X0)
| multiply(X0,another_identity) = X0 ),
inference(well_definedness,[status(thm)],[c_50]) ).
cnf(c_81,plain,
( ~ subgroup_member(X0)
| multiply(another_inverse(X0),X0) = another_identity ),
inference(well_definedness,[status(thm)],[c_52]) ).
cnf(c_84,plain,
( multiply(X0,X1) != X2
| multiply(X3,X1) != X2
| X0 = X3 ),
inference(well_definedness,[status(thm)],[c_55]) ).
cnf(c_86,plain,
( multiply(X0,inverse(X1)) != X2
| ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(X2) ),
inference(well_definedness,[status(thm)],[c_59]) ).
cnf(c_88,plain,
multiply(identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_60]) ).
cnf(c_90,plain,
multiply(inverse(X0),X0) = identity,
inference(well_definedness,[status(thm)],[c_62]) ).
cnf(c_91,plain,
multiply(X0,inverse(X0)) = identity,
inference(well_definedness,[status(thm)],[c_63]) ).
cnf(c_204,plain,
( ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(multiply(X0,inverse(X1))) ),
inference(unflattening,[status(thm)],[c_86]) ).
cnf(c_212,plain,
( multiply(X0,X1) != multiply(X2,X1)
| X0 = X2 ),
inference(unflattening,[status(thm)],[c_84]) ).
cnf(c_323,plain,
another_inverse(a) = sP0_iProver_def,
definition ).
cnf(c_324,plain,
inverse(a) = sP1_iProver_def,
definition ).
cnf(c_325,negated_conjecture,
sP0_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_58,c_324,c_323]) ).
cnf(c_570,plain,
( multiply(X0,X1) != identity
| inverse(X1) = X0 ),
inference(superposition,[status(thm)],[c_90,c_212]) ).
cnf(c_636,plain,
multiply(another_inverse(a),a) = another_identity,
inference(superposition,[status(thm)],[c_56,c_81]) ).
cnf(c_639,plain,
multiply(sP0_iProver_def,a) = another_identity,
inference(light_normalisation,[status(thm)],[c_636,c_323]) ).
cnf(c_668,plain,
( ~ subgroup_member(X0)
| subgroup_member(identity) ),
inference(superposition,[status(thm)],[c_91,c_204]) ).
cnf(c_696,plain,
( ~ subgroup_member(another_identity)
| subgroup_member(identity) ),
inference(instantiation,[status(thm)],[c_668]) ).
cnf(c_710,plain,
subgroup_member(identity),
inference(global_subsumption_just,[status(thm)],[c_668,c_57,c_696]) ).
cnf(c_714,plain,
multiply(identity,another_identity) = identity,
inference(superposition,[status(thm)],[c_710,c_79]) ).
cnf(c_722,plain,
another_identity = identity,
inference(demodulation,[status(thm)],[c_714,c_88]) ).
cnf(c_724,plain,
multiply(sP0_iProver_def,a) = identity,
inference(demodulation,[status(thm)],[c_639,c_722]) ).
cnf(c_802,plain,
inverse(a) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_724,c_570]) ).
cnf(c_808,plain,
sP0_iProver_def = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_324,c_802]) ).
cnf(c_809,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_808,c_325]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP037-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n022.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
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 00:00:42 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 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
% 3.14/1.15 % SZS status Started for theBenchmark.p
% 3.14/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.14/1.15
% 3.14/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.14/1.15
% 3.14/1.15 ------ iProver source info
% 3.14/1.15
% 3.14/1.15 git: date: 2024-05-02 19:28:25 +0000
% 3.14/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.14/1.15 git: non_committed_changes: false
% 3.14/1.15
% 3.14/1.15 ------ Parsing...successful
% 3.14/1.15
% 3.14/1.15
% 3.14/1.15
% 3.14/1.15 ------ Preprocessing... sup_sim: 7 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
% 3.14/1.15
% 3.14/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.14/1.15
% 3.14/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.14/1.15 ------ Proving...
% 3.14/1.15 ------ Problem Properties
% 3.14/1.15
% 3.14/1.15
% 3.14/1.15 clauses 18
% 3.14/1.15 conjectures 1
% 3.14/1.15 EPR 3
% 3.14/1.15 Horn 18
% 3.14/1.15 unary 10
% 3.14/1.15 binary 7
% 3.14/1.15 lits 27
% 3.14/1.15 lits eq 16
% 3.14/1.15 fd_pure 0
% 3.14/1.15 fd_pseudo 0
% 3.14/1.15 fd_cond 0
% 3.14/1.15 fd_pseudo_cond 2
% 3.14/1.15 AC symbols 0
% 3.14/1.15
% 3.14/1.15 ------ Schedule dynamic 5 is on
% 3.14/1.15
% 3.14/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.14/1.15
% 3.14/1.15
% 3.14/1.15 ------
% 3.14/1.15 Current options:
% 3.14/1.15 ------
% 3.14/1.15
% 3.14/1.15
% 3.14/1.15
% 3.14/1.15
% 3.14/1.15 ------ Proving...
% 3.14/1.15
% 3.14/1.15
% 3.14/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.14/1.15
% 3.14/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.14/1.15
% 3.14/1.15
%------------------------------------------------------------------------------