TSTP Solution File: GRP039-4 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP039-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 02:19:52 EDT 2024
% Result : Unsatisfiable 3.72s 1.13s
% Output : CNFRefutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 46 ( 29 unt; 5 nHn; 32 RR)
% Number of literals : 79 ( 23 equ; 30 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 : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,plain,
( subgroup_member(element_in_O2(X0,X1))
| subgroup_member(X0)
| subgroup_member(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_element_in_O2) ).
cnf(c_51,plain,
( product(X0,element_in_O2(X0,X1),X1)
| subgroup_member(X0)
| subgroup_member(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_O2) ).
cnf(c_52,negated_conjecture,
subgroup_member(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_in_subgroup) ).
cnf(c_53,negated_conjecture,
product(b,inverse(a),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
cnf(c_54,negated_conjecture,
product(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_c_is_d) ).
cnf(c_55,negated_conjecture,
~ subgroup_member(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_is_in_subgroup) ).
cnf(c_56,plain,
( ~ subgroup_member(X0)
| subgroup_member(inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-1.ax',closure_of_inverse) ).
cnf(c_57,plain,
( ~ product(X0,X1,X2)
| ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-1.ax',closure_of_product) ).
cnf(c_58,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(c_59,plain,
product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(c_60,plain,
product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_inverse) ).
cnf(c_65,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',associativity2) ).
cnf(c_72,plain,
( multiply(X0,element_in_O2(X0,X1)) = X1
| subgroup_member(X0)
| subgroup_member(X1) ),
inference(well_definedness,[status(thm)],[c_51]) ).
cnf(c_73,plain,
multiply(b,inverse(a)) = c,
inference(well_definedness,[status(thm)],[c_53]) ).
cnf(c_74,plain,
multiply(a,c) = d,
inference(well_definedness,[status(thm)],[c_54]) ).
cnf(c_75,plain,
( multiply(X0,X1) != X2
| ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(X2) ),
inference(well_definedness,[status(thm)],[c_57]) ).
cnf(c_77,plain,
multiply(identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_58]) ).
cnf(c_78,plain,
multiply(X0,identity) = X0,
inference(well_definedness,[status(thm)],[c_59]) ).
cnf(c_79,plain,
multiply(inverse(X0),X0) = identity,
inference(well_definedness,[status(thm)],[c_60]) ).
cnf(c_86,plain,
( multiply(X0,X1) != X2
| multiply(X0,X3) != X4
| multiply(X1,X5) != X3
| multiply(X2,X5) = X4 ),
inference(well_definedness,[status(thm)],[c_65]) ).
cnf(c_173,plain,
( ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(multiply(X0,X1)) ),
inference(unflattening,[status(thm)],[c_75]) ).
cnf(c_181,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(unflattening,[status(thm)],[c_86]) ).
cnf(c_259,negated_conjecture,
~ subgroup_member(d),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_260,negated_conjecture,
subgroup_member(b),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_412,plain,
( ~ subgroup_member(inverse(a))
| ~ subgroup_member(b)
| subgroup_member(c) ),
inference(superposition,[status(thm)],[c_73,c_173]) ).
cnf(c_413,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(c)
| subgroup_member(d) ),
inference(superposition,[status(thm)],[c_74,c_173]) ).
cnf(c_416,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_413,c_259]) ).
cnf(c_419,plain,
( ~ subgroup_member(inverse(a))
| subgroup_member(c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_412,c_260]) ).
cnf(c_440,plain,
( multiply(X0,element_in_O2(X0,d)) = d
| subgroup_member(X0) ),
inference(superposition,[status(thm)],[c_72,c_259]) ).
cnf(c_471,plain,
( ~ subgroup_member(a)
| subgroup_member(c) ),
inference(superposition,[status(thm)],[c_56,c_419]) ).
cnf(c_480,plain,
~ subgroup_member(a),
inference(global_subsumption_just,[status(thm)],[c_471,c_416,c_471]) ).
cnf(c_494,plain,
multiply(a,element_in_O2(a,d)) = d,
inference(superposition,[status(thm)],[c_440,c_480]) ).
cnf(c_521,plain,
multiply(b,multiply(inverse(a),X0)) = multiply(c,X0),
inference(superposition,[status(thm)],[c_73,c_181]) ).
cnf(c_525,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_79,c_181]) ).
cnf(c_614,plain,
multiply(b,identity) = multiply(c,a),
inference(superposition,[status(thm)],[c_79,c_521]) ).
cnf(c_863,plain,
multiply(c,a) = b,
inference(demodulation,[status(thm)],[c_614,c_78]) ).
cnf(c_1188,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_525,c_77]) ).
cnf(c_1191,plain,
multiply(inverse(a),d) = c,
inference(superposition,[status(thm)],[c_74,c_1188]) ).
cnf(c_1198,plain,
multiply(inverse(a),d) = element_in_O2(a,d),
inference(superposition,[status(thm)],[c_494,c_1188]) ).
cnf(c_1206,plain,
multiply(inverse(c),b) = a,
inference(superposition,[status(thm)],[c_863,c_1188]) ).
cnf(c_1310,plain,
( ~ subgroup_member(inverse(c))
| ~ subgroup_member(b)
| subgroup_member(a) ),
inference(superposition,[status(thm)],[c_1206,c_173]) ).
cnf(c_1313,plain,
~ subgroup_member(inverse(c)),
inference(forward_subsumption_resolution,[status(thm)],[c_1310,c_480,c_260]) ).
cnf(c_1337,plain,
~ subgroup_member(c),
inference(superposition,[status(thm)],[c_56,c_1313]) ).
cnf(c_2082,plain,
element_in_O2(a,d) = c,
inference(light_normalisation,[status(thm)],[c_1198,c_1191]) ).
cnf(c_2083,plain,
( subgroup_member(a)
| subgroup_member(c)
| subgroup_member(d) ),
inference(superposition,[status(thm)],[c_2082,c_50]) ).
cnf(c_2084,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2083,c_259,c_1337,c_480]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP039-4 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n002.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 : Fri May 3 00:08:57 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 3.72/1.13 % SZS status Started for theBenchmark.p
% 3.72/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 3.72/1.13
% 3.72/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.72/1.13
% 3.72/1.13 ------ iProver source info
% 3.72/1.13
% 3.72/1.13 git: date: 2024-05-02 19:28:25 +0000
% 3.72/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.72/1.13 git: non_committed_changes: false
% 3.72/1.13
% 3.72/1.13 ------ Parsing...successful
% 3.72/1.13
% 3.72/1.13
% 3.72/1.13
% 3.72/1.13 ------ 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
% 3.72/1.13
% 3.72/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.72/1.13
% 3.72/1.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.72/1.13 ------ Proving...
% 3.72/1.13 ------ Problem Properties
% 3.72/1.13
% 3.72/1.13
% 3.72/1.13 clauses 14
% 3.72/1.13 conjectures 2
% 3.72/1.13 EPR 3
% 3.72/1.13 Horn 12
% 3.72/1.13 unary 10
% 3.72/1.13 binary 1
% 3.72/1.13 lits 21
% 3.72/1.13 lits eq 8
% 3.72/1.13 fd_pure 0
% 3.72/1.13 fd_pseudo 0
% 3.72/1.13 fd_cond 0
% 3.72/1.13 fd_pseudo_cond 0
% 3.72/1.13 AC symbols 0
% 3.72/1.13
% 3.72/1.13 ------ Schedule dynamic 5 is on
% 3.72/1.13
% 3.72/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.72/1.13
% 3.72/1.13
% 3.72/1.13 ------
% 3.72/1.13 Current options:
% 3.72/1.13 ------
% 3.72/1.13
% 3.72/1.13
% 3.72/1.13
% 3.72/1.13
% 3.72/1.13 ------ Proving...
% 3.72/1.13
% 3.72/1.13
% 3.72/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 3.72/1.13
% 3.72/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.72/1.13
% 3.72/1.13
%------------------------------------------------------------------------------