TSTP Solution File: GRP040-4 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP040-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 02:19:53 EDT 2024
% Result : Unsatisfiable 4.14s 1.19s
% Output : CNFRefutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 47 ( 32 unt; 5 nHn; 28 RR)
% Number of literals : 79 ( 28 equ; 26 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
( ~ subgroup_member(X0)
| subgroup_member(inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_inverse) ).
cnf(c_53,plain,
( subgroup_member(element_in_O2(X0,X1))
| subgroup_member(X0)
| subgroup_member(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_element_in_O2) ).
cnf(c_54,plain,
( product(X0,element_in_O2(X0,X1),X1)
| subgroup_member(X0)
| subgroup_member(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_O2) ).
cnf(c_55,plain,
~ subgroup_member(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_in_subgroup) ).
cnf(c_56,plain,
subgroup_member(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_in_subgroup) ).
cnf(c_57,plain,
~ subgroup_member(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_in_subgroup) ).
cnf(c_58,plain,
product(b,inverse(a),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
cnf(c_59,plain,
product(a,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c_is_d) ).
cnf(c_60,negated_conjecture,
inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_is_self_cancelling) ).
cnf(c_61,plain,
( ~ product(X0,inverse(X1),X2)
| ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
cnf(c_62,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(c_63,plain,
product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(c_64,plain,
product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_inverse) ).
cnf(c_65,plain,
product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(c_69,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity2) ).
cnf(c_81,plain,
( multiply(X0,element_in_O2(X0,X1)) = X1
| subgroup_member(X0)
| subgroup_member(X1) ),
inference(well_definedness,[status(thm)],[c_54]) ).
cnf(c_82,plain,
multiply(b,inverse(a)) = c,
inference(well_definedness,[status(thm)],[c_58]) ).
cnf(c_83,plain,
multiply(a,c) = d,
inference(well_definedness,[status(thm)],[c_59]) ).
cnf(c_84,plain,
( multiply(X0,inverse(X1)) != X2
| ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(X2) ),
inference(well_definedness,[status(thm)],[c_61]) ).
cnf(c_86,plain,
multiply(identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_62]) ).
cnf(c_87,plain,
multiply(X0,identity) = X0,
inference(well_definedness,[status(thm)],[c_63]) ).
cnf(c_88,plain,
multiply(inverse(X0),X0) = identity,
inference(well_definedness,[status(thm)],[c_64]) ).
cnf(c_89,plain,
multiply(X0,inverse(X0)) = identity,
inference(well_definedness,[status(thm)],[c_65]) ).
cnf(c_95,plain,
( multiply(X0,X1) != X2
| multiply(X0,X3) != X4
| multiply(X1,X5) != X3
| multiply(X2,X5) = X4 ),
inference(well_definedness,[status(thm)],[c_69]) ).
cnf(c_198,plain,
( ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(multiply(X0,inverse(X1))) ),
inference(unflattening,[status(thm)],[c_84]) ).
cnf(c_216,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(unflattening,[status(thm)],[c_95]) ).
cnf(c_315,negated_conjecture,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_520,plain,
( ~ subgroup_member(inverse(X0))
| ~ subgroup_member(X1)
| subgroup_member(multiply(X1,X0)) ),
inference(superposition,[status(thm)],[c_315,c_198]) ).
cnf(c_552,plain,
( multiply(X0,element_in_O2(X0,a)) = a
| subgroup_member(X0) ),
inference(superposition,[status(thm)],[c_81,c_55]) ).
cnf(c_682,plain,
multiply(d,element_in_O2(d,a)) = a,
inference(superposition,[status(thm)],[c_552,c_57]) ).
cnf(c_2083,plain,
multiply(b,multiply(inverse(a),X0)) = multiply(c,X0),
inference(superposition,[status(thm)],[c_82,c_216]) ).
cnf(c_2084,plain,
multiply(a,multiply(c,X0)) = multiply(d,X0),
inference(superposition,[status(thm)],[c_83,c_216]) ).
cnf(c_2087,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_88,c_216]) ).
cnf(c_2250,plain,
multiply(d,inverse(c)) = multiply(a,identity),
inference(superposition,[status(thm)],[c_89,c_2084]) ).
cnf(c_2255,plain,
multiply(d,inverse(c)) = a,
inference(demodulation,[status(thm)],[c_2250,c_87]) ).
cnf(c_4834,plain,
multiply(b,identity) = multiply(c,a),
inference(superposition,[status(thm)],[c_88,c_2083]) ).
cnf(c_5362,plain,
multiply(c,a) = b,
inference(demodulation,[status(thm)],[c_4834,c_87]) ).
cnf(c_5859,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2087,c_86]) ).
cnf(c_5872,plain,
multiply(inverse(d),a) = element_in_O2(d,a),
inference(superposition,[status(thm)],[c_682,c_5859]) ).
cnf(c_5889,plain,
multiply(inverse(d),a) = inverse(c),
inference(superposition,[status(thm)],[c_2255,c_5859]) ).
cnf(c_5900,plain,
( ~ subgroup_member(inverse(multiply(X0,X1)))
| ~ subgroup_member(inverse(X0))
| subgroup_member(X1) ),
inference(superposition,[status(thm)],[c_5859,c_520]) ).
cnf(c_6509,plain,
( ~ subgroup_member(multiply(X0,X1))
| ~ subgroup_member(inverse(X0))
| subgroup_member(X1) ),
inference(superposition,[status(thm)],[c_50,c_5900]) ).
cnf(c_7074,plain,
( ~ subgroup_member(inverse(c))
| ~ subgroup_member(b)
| subgroup_member(a) ),
inference(superposition,[status(thm)],[c_5362,c_6509]) ).
cnf(c_7077,plain,
~ subgroup_member(inverse(c)),
inference(forward_subsumption_resolution,[status(thm)],[c_7074,c_55,c_56]) ).
cnf(c_8405,plain,
element_in_O2(d,a) = inverse(c),
inference(light_normalisation,[status(thm)],[c_5872,c_5889]) ).
cnf(c_8406,plain,
( subgroup_member(inverse(c))
| subgroup_member(a)
| subgroup_member(d) ),
inference(superposition,[status(thm)],[c_8405,c_53]) ).
cnf(c_8407,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8406,c_57,c_55,c_7077]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP040-4 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 23:47:03 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.14/1.19 % SZS status Started for theBenchmark.p
% 4.14/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 4.14/1.19
% 4.14/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.14/1.19
% 4.14/1.19 ------ iProver source info
% 4.14/1.19
% 4.14/1.19 git: date: 2024-05-02 19:28:25 +0000
% 4.14/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.14/1.19 git: non_committed_changes: false
% 4.14/1.19
% 4.14/1.19 ------ Parsing...successful
% 4.14/1.19
% 4.14/1.19
% 4.14/1.19
% 4.14/1.19 ------ 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
% 4.14/1.19
% 4.14/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.14/1.19
% 4.14/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.14/1.19 ------ Proving...
% 4.14/1.19 ------ Problem Properties
% 4.14/1.19
% 4.14/1.19
% 4.14/1.19 clauses 18
% 4.14/1.19 conjectures 1
% 4.14/1.19 EPR 4
% 4.14/1.19 Horn 16
% 4.14/1.19 unary 12
% 4.14/1.19 binary 3
% 4.14/1.19 lits 27
% 4.14/1.19 lits eq 13
% 4.14/1.19 fd_pure 0
% 4.14/1.19 fd_pseudo 0
% 4.14/1.19 fd_cond 0
% 4.14/1.19 fd_pseudo_cond 2
% 4.14/1.19 AC symbols 0
% 4.14/1.19
% 4.14/1.19 ------ Schedule dynamic 5 is on
% 4.14/1.19
% 4.14/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.14/1.19
% 4.14/1.19
% 4.14/1.19 ------
% 4.14/1.19 Current options:
% 4.14/1.19 ------
% 4.14/1.19
% 4.14/1.19
% 4.14/1.19
% 4.14/1.19
% 4.14/1.19 ------ Proving...
% 4.14/1.19
% 4.14/1.19
% 4.14/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 4.14/1.19
% 4.14/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.14/1.19
% 4.14/1.19
%------------------------------------------------------------------------------