TSTP Solution File: GRP039-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP039-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 3.91s 1.20s
% Output : CNFRefutation 3.91s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
cnf(c_50,plain,
multiply(X0,inverse(X0)) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
cnf(c_51,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_52,plain,
( multiply(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_53,negated_conjecture,
subgroup_member(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_in_O2) ).
cnf(c_54,negated_conjecture,
multiply(b,inverse(a)) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
cnf(c_55,negated_conjecture,
multiply(a,c) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c_is_d) ).
cnf(c_56,negated_conjecture,
~ subgroup_member(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_in_O2) ).
cnf(c_57,plain,
( ~ subgroup_member(X0)
| subgroup_member(inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-1.ax',closure_of_inverse) ).
cnf(c_58,plain,
( multiply(X0,X1) != X2
| ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-1.ax',closure_of_multiply) ).
cnf(c_59,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_60,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_61,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_62,plain,
( ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(multiply(X0,X1)) ),
inference(unflattening,[status(thm)],[c_58]) ).
cnf(c_137,plain,
multiply(a,c) = sP0_iProver_def,
definition ).
cnf(c_138,plain,
inverse(a) = sP1_iProver_def,
definition ).
cnf(c_139,plain,
multiply(b,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_140,negated_conjecture,
~ subgroup_member(d),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_141,negated_conjecture,
sP0_iProver_def = d,
inference(demodulation,[status(thm)],[c_55,c_137]) ).
cnf(c_142,negated_conjecture,
sP2_iProver_def = c,
inference(demodulation,[status(thm)],[c_54,c_138,c_139]) ).
cnf(c_143,negated_conjecture,
subgroup_member(b),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_296,plain,
~ subgroup_member(sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_140,c_141]) ).
cnf(c_299,plain,
( ~ subgroup_member(a)
| subgroup_member(sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_138,c_57]) ).
cnf(c_306,plain,
multiply(a,sP2_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_137,c_142]) ).
cnf(c_308,plain,
multiply(a,sP1_iProver_def) = identity,
inference(superposition,[status(thm)],[c_138,c_50]) ).
cnf(c_311,plain,
multiply(sP1_iProver_def,a) = identity,
inference(superposition,[status(thm)],[c_138,c_60]) ).
cnf(c_332,plain,
( ~ subgroup_member(b)
| ~ subgroup_member(sP1_iProver_def)
| subgroup_member(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_139,c_62]) ).
cnf(c_333,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(sP2_iProver_def)
| subgroup_member(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_306,c_62]) ).
cnf(c_339,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(sP2_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_333,c_296]) ).
cnf(c_342,plain,
( ~ subgroup_member(sP1_iProver_def)
| subgroup_member(sP2_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_332,c_143]) ).
cnf(c_352,plain,
~ subgroup_member(a),
inference(global_subsumption_just,[status(thm)],[c_339,c_299,c_342,c_339]) ).
cnf(c_370,plain,
( multiply(X0,element_in_O2(X0,sP0_iProver_def)) = sP0_iProver_def
| subgroup_member(X0) ),
inference(superposition,[status(thm)],[c_52,c_296]) ).
cnf(c_400,plain,
multiply(a,element_in_O2(a,sP0_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_370,c_352]) ).
cnf(c_407,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_50,c_61]) ).
cnf(c_413,plain,
multiply(a,multiply(sP1_iProver_def,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_308,c_61]) ).
cnf(c_414,plain,
multiply(sP1_iProver_def,multiply(a,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_311,c_61]) ).
cnf(c_420,plain,
multiply(sP1_iProver_def,multiply(a,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_414,c_59]) ).
cnf(c_421,plain,
multiply(a,multiply(sP1_iProver_def,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_413,c_59]) ).
cnf(c_450,plain,
multiply(sP1_iProver_def,sP0_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_306,c_420]) ).
cnf(c_475,plain,
multiply(a,identity) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_50,c_421]) ).
cnf(c_481,plain,
inverse(sP1_iProver_def) = a,
inference(demodulation,[status(thm)],[c_475,c_49]) ).
cnf(c_484,plain,
( ~ subgroup_member(sP1_iProver_def)
| subgroup_member(a) ),
inference(superposition,[status(thm)],[c_481,c_57]) ).
cnf(c_485,plain,
~ subgroup_member(sP1_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_484,c_352]) ).
cnf(c_495,plain,
multiply(sP1_iProver_def,sP0_iProver_def) = element_in_O2(a,sP0_iProver_def),
inference(superposition,[status(thm)],[c_400,c_420]) ).
cnf(c_496,plain,
element_in_O2(a,sP0_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_495,c_450]) ).
cnf(c_499,plain,
( subgroup_member(a)
| subgroup_member(sP0_iProver_def)
| subgroup_member(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_496,c_51]) ).
cnf(c_500,plain,
subgroup_member(sP2_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_499,c_296,c_352]) ).
cnf(c_653,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_407,c_59]) ).
cnf(c_657,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_50,c_653]) ).
cnf(c_676,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_657,c_49]) ).
cnf(c_747,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_676,c_653]) ).
cnf(c_2173,plain,
multiply(inverse(b),sP2_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_139,c_747]) ).
cnf(c_2295,plain,
( ~ subgroup_member(inverse(b))
| ~ subgroup_member(sP2_iProver_def)
| subgroup_member(sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_2173,c_62]) ).
cnf(c_2298,plain,
~ subgroup_member(inverse(b)),
inference(forward_subsumption_resolution,[status(thm)],[c_2295,c_485,c_500]) ).
cnf(c_2320,plain,
~ subgroup_member(b),
inference(superposition,[status(thm)],[c_57,c_2298]) ).
cnf(c_2321,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2320,c_143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP039-2 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 2 23:55:41 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 3.91/1.20 % SZS status Started for theBenchmark.p
% 3.91/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.91/1.20
% 3.91/1.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.91/1.20
% 3.91/1.20 ------ iProver source info
% 3.91/1.20
% 3.91/1.20 git: date: 2024-05-02 19:28:25 +0000
% 3.91/1.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.91/1.20 git: non_committed_changes: false
% 3.91/1.20
% 3.91/1.20 ------ Parsing...successful
% 3.91/1.20
% 3.91/1.20
% 3.91/1.20
% 3.91/1.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.91/1.20
% 3.91/1.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.91/1.20
% 3.91/1.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.91/1.20 ------ Proving...
% 3.91/1.20 ------ Problem Properties
% 3.91/1.20
% 3.91/1.20
% 3.91/1.20 clauses 16
% 3.91/1.20 conjectures 4
% 3.91/1.20 EPR 4
% 3.91/1.20 Horn 14
% 3.91/1.20 unary 12
% 3.91/1.20 binary 1
% 3.91/1.20 lits 23
% 3.91/1.20 lits eq 11
% 3.91/1.20 fd_pure 0
% 3.91/1.20 fd_pseudo 0
% 3.91/1.20 fd_cond 0
% 3.91/1.20 fd_pseudo_cond 0
% 3.91/1.20 AC symbols 0
% 3.91/1.20
% 3.91/1.20 ------ Schedule dynamic 5 is on
% 3.91/1.20
% 3.91/1.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.91/1.20
% 3.91/1.20
% 3.91/1.20 ------
% 3.91/1.20 Current options:
% 3.91/1.20 ------
% 3.91/1.20
% 3.91/1.20
% 3.91/1.20
% 3.91/1.20
% 3.91/1.20 ------ Proving...
% 3.91/1.20
% 3.91/1.20
% 3.91/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.91/1.20
% 3.91/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.91/1.20
% 3.91/1.21
%------------------------------------------------------------------------------