TSTP Solution File: GRP039-5 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP039-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 3.75s 1.12s
% Output : CNFRefutation 3.75s
% 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_52,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_53,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_54,negated_conjecture,
subgroup_member(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_in_O2) ).
cnf(c_55,negated_conjecture,
multiply(b,inverse(a)) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
cnf(c_56,negated_conjecture,
multiply(a,c) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c_is_d) ).
cnf(c_57,negated_conjecture,
~ subgroup_member(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_in_O2) ).
cnf(c_58,plain,
( ~ subgroup_member(X0)
| subgroup_member(inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-1.ax',closure_of_inverse) ).
cnf(c_59,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_60,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_61,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_62,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_63,plain,
( ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(multiply(X0,X1)) ),
inference(unflattening,[status(thm)],[c_59]) ).
cnf(c_138,plain,
multiply(a,c) = sP0_iProver_def,
definition ).
cnf(c_139,plain,
inverse(a) = sP1_iProver_def,
definition ).
cnf(c_140,plain,
multiply(b,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_141,negated_conjecture,
~ subgroup_member(d),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_142,negated_conjecture,
sP0_iProver_def = d,
inference(demodulation,[status(thm)],[c_56,c_138]) ).
cnf(c_143,negated_conjecture,
sP2_iProver_def = c,
inference(demodulation,[status(thm)],[c_55,c_139,c_140]) ).
cnf(c_144,negated_conjecture,
subgroup_member(b),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_301,plain,
~ subgroup_member(sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_141,c_142]) ).
cnf(c_304,plain,
( ~ subgroup_member(a)
| subgroup_member(sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_139,c_58]) ).
cnf(c_307,plain,
multiply(a,sP2_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_138,c_143]) ).
cnf(c_312,plain,
multiply(sP1_iProver_def,a) = identity,
inference(superposition,[status(thm)],[c_139,c_61]) ).
cnf(c_337,plain,
( ~ subgroup_member(b)
| ~ subgroup_member(sP1_iProver_def)
| subgroup_member(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_140,c_63]) ).
cnf(c_338,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(sP2_iProver_def)
| subgroup_member(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_307,c_63]) ).
cnf(c_341,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(sP2_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_338,c_301]) ).
cnf(c_344,plain,
( ~ subgroup_member(sP1_iProver_def)
| subgroup_member(sP2_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_337,c_144]) ).
cnf(c_351,plain,
~ subgroup_member(a),
inference(global_subsumption_just,[status(thm)],[c_341,c_304,c_344,c_341]) ).
cnf(c_359,plain,
( multiply(X0,element_in_O2(X0,sP0_iProver_def)) = sP0_iProver_def
| subgroup_member(X0) ),
inference(superposition,[status(thm)],[c_53,c_301]) ).
cnf(c_362,plain,
( multiply(sP0_iProver_def,element_in_O2(sP0_iProver_def,X0)) = X0
| subgroup_member(X0) ),
inference(superposition,[status(thm)],[c_53,c_301]) ).
cnf(c_389,plain,
multiply(a,element_in_O2(a,sP0_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_359,c_351]) ).
cnf(c_399,plain,
multiply(sP0_iProver_def,element_in_O2(sP0_iProver_def,a)) = a,
inference(superposition,[status(thm)],[c_362,c_351]) ).
cnf(c_406,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_50,c_62]) ).
cnf(c_410,plain,
multiply(b,multiply(sP1_iProver_def,X0)) = multiply(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_140,c_62]) ).
cnf(c_413,plain,
multiply(sP1_iProver_def,multiply(a,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_312,c_62]) ).
cnf(c_420,plain,
multiply(sP1_iProver_def,multiply(a,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_413,c_60]) ).
cnf(c_451,plain,
multiply(sP1_iProver_def,sP0_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_307,c_420]) ).
cnf(c_453,plain,
multiply(sP1_iProver_def,sP0_iProver_def) = element_in_O2(a,sP0_iProver_def),
inference(superposition,[status(thm)],[c_389,c_420]) ).
cnf(c_474,plain,
multiply(sP1_iProver_def,multiply(sP0_iProver_def,X0)) = multiply(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_451,c_62]) ).
cnf(c_500,plain,
element_in_O2(a,sP0_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_453,c_451]) ).
cnf(c_501,plain,
( subgroup_member(a)
| subgroup_member(sP0_iProver_def)
| subgroup_member(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_500,c_52]) ).
cnf(c_502,plain,
subgroup_member(sP2_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_501,c_301,c_351]) ).
cnf(c_576,plain,
multiply(sP2_iProver_def,element_in_O2(sP0_iProver_def,a)) = multiply(sP1_iProver_def,a),
inference(superposition,[status(thm)],[c_399,c_474]) ).
cnf(c_583,plain,
multiply(sP2_iProver_def,element_in_O2(sP0_iProver_def,a)) = identity,
inference(light_normalisation,[status(thm)],[c_576,c_312]) ).
cnf(c_641,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_406,c_60]) ).
cnf(c_645,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_50,c_641]) ).
cnf(c_664,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_645,c_49]) ).
cnf(c_717,plain,
( ~ subgroup_member(inverse(X0))
| subgroup_member(X0) ),
inference(superposition,[status(thm)],[c_664,c_58]) ).
cnf(c_815,plain,
( ~ subgroup_member(multiply(sP1_iProver_def,X0))
| ~ subgroup_member(b)
| subgroup_member(multiply(sP2_iProver_def,X0)) ),
inference(superposition,[status(thm)],[c_410,c_63]) ).
cnf(c_819,plain,
( ~ subgroup_member(multiply(sP1_iProver_def,X0))
| subgroup_member(multiply(sP2_iProver_def,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_815,c_144]) ).
cnf(c_856,plain,
( ~ subgroup_member(sP2_iProver_def)
| subgroup_member(multiply(sP2_iProver_def,sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_451,c_819]) ).
cnf(c_858,plain,
subgroup_member(multiply(sP2_iProver_def,sP0_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_856,c_502]) ).
cnf(c_1164,plain,
multiply(sP2_iProver_def,multiply(element_in_O2(sP0_iProver_def,a),X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_583,c_62]) ).
cnf(c_1174,plain,
multiply(sP2_iProver_def,multiply(element_in_O2(sP0_iProver_def,a),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1164,c_60]) ).
cnf(c_1296,plain,
inverse(element_in_O2(sP0_iProver_def,a)) = multiply(sP2_iProver_def,identity),
inference(superposition,[status(thm)],[c_50,c_1174]) ).
cnf(c_1299,plain,
( ~ subgroup_member(multiply(element_in_O2(sP0_iProver_def,a),X0))
| ~ subgroup_member(sP2_iProver_def)
| subgroup_member(X0) ),
inference(superposition,[status(thm)],[c_1174,c_63]) ).
cnf(c_1310,plain,
( ~ subgroup_member(multiply(element_in_O2(sP0_iProver_def,a),X0))
| subgroup_member(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1299,c_502]) ).
cnf(c_1353,plain,
inverse(element_in_O2(sP0_iProver_def,a)) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_1296,c_49]) ).
cnf(c_1354,plain,
( ~ subgroup_member(sP2_iProver_def)
| subgroup_member(element_in_O2(sP0_iProver_def,a)) ),
inference(superposition,[status(thm)],[c_1353,c_717]) ).
cnf(c_1355,plain,
element_in_O2(sP0_iProver_def,a) = inverse(sP2_iProver_def),
inference(superposition,[status(thm)],[c_1353,c_664]) ).
cnf(c_1360,plain,
subgroup_member(element_in_O2(sP0_iProver_def,a)),
inference(forward_subsumption_resolution,[status(thm)],[c_1354,c_502]) ).
cnf(c_1372,plain,
( ~ subgroup_member(multiply(inverse(sP2_iProver_def),X0))
| subgroup_member(X0) ),
inference(light_normalisation,[status(thm)],[c_1310,c_1355]) ).
cnf(c_1385,plain,
( multiply(multiply(inverse(sP2_iProver_def),X0),element_in_O2(multiply(inverse(sP2_iProver_def),X0),sP0_iProver_def)) = sP0_iProver_def
| subgroup_member(X0) ),
inference(superposition,[status(thm)],[c_359,c_1372]) ).
cnf(c_1447,plain,
subgroup_member(inverse(sP2_iProver_def)),
inference(light_normalisation,[status(thm)],[c_1360,c_1355]) ).
cnf(c_2246,plain,
( multiply(inverse(sP2_iProver_def),multiply(X0,element_in_O2(multiply(inverse(sP2_iProver_def),X0),sP0_iProver_def))) = sP0_iProver_def
| subgroup_member(X0) ),
inference(demodulation,[status(thm)],[c_1385,c_62]) ).
cnf(c_2252,plain,
multiply(inverse(sP2_iProver_def),multiply(sP0_iProver_def,element_in_O2(multiply(inverse(sP2_iProver_def),sP0_iProver_def),sP0_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_2246,c_301]) ).
cnf(c_2317,plain,
( ~ subgroup_member(multiply(sP0_iProver_def,element_in_O2(multiply(inverse(sP2_iProver_def),sP0_iProver_def),sP0_iProver_def)))
| ~ subgroup_member(inverse(sP2_iProver_def))
| subgroup_member(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_2252,c_63]) ).
cnf(c_2318,plain,
multiply(sP0_iProver_def,element_in_O2(multiply(inverse(sP2_iProver_def),sP0_iProver_def),sP0_iProver_def)) = multiply(sP2_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_2252,c_641]) ).
cnf(c_2321,plain,
~ subgroup_member(multiply(sP0_iProver_def,element_in_O2(multiply(inverse(sP2_iProver_def),sP0_iProver_def),sP0_iProver_def))),
inference(forward_subsumption_resolution,[status(thm)],[c_2317,c_301,c_1447]) ).
cnf(c_2326,plain,
~ subgroup_member(multiply(sP2_iProver_def,sP0_iProver_def)),
inference(light_normalisation,[status(thm)],[c_2321,c_2318]) ).
cnf(c_2327,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2326,c_858]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP039-5 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 23:44:35 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 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
% 3.75/1.12 % SZS status Started for theBenchmark.p
% 3.75/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 3.75/1.12
% 3.75/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.75/1.12
% 3.75/1.12 ------ iProver source info
% 3.75/1.12
% 3.75/1.12 git: date: 2024-05-02 19:28:25 +0000
% 3.75/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.75/1.12 git: non_committed_changes: false
% 3.75/1.12
% 3.75/1.12 ------ Parsing...successful
% 3.75/1.12
% 3.75/1.12
% 3.75/1.12
% 3.75/1.12 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.75/1.12
% 3.75/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.75/1.12
% 3.75/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.75/1.12 ------ Proving...
% 3.75/1.12 ------ Problem Properties
% 3.75/1.12
% 3.75/1.12
% 3.75/1.12 clauses 17
% 3.75/1.12 conjectures 4
% 3.75/1.12 EPR 5
% 3.75/1.12 Horn 15
% 3.75/1.12 unary 13
% 3.75/1.12 binary 1
% 3.75/1.12 lits 24
% 3.75/1.12 lits eq 11
% 3.75/1.12 fd_pure 0
% 3.75/1.12 fd_pseudo 0
% 3.75/1.12 fd_cond 0
% 3.75/1.12 fd_pseudo_cond 0
% 3.75/1.12 AC symbols 0
% 3.75/1.12
% 3.75/1.12 ------ Schedule dynamic 5 is on
% 3.75/1.12
% 3.75/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.75/1.12
% 3.75/1.12
% 3.75/1.12 ------
% 3.75/1.12 Current options:
% 3.75/1.12 ------
% 3.75/1.12
% 3.75/1.12
% 3.75/1.12
% 3.75/1.12
% 3.75/1.12 ------ Proving...
% 3.75/1.12
% 3.75/1.12
% 3.75/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 3.75/1.12
% 3.75/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.75/1.12
% 3.75/1.13
%------------------------------------------------------------------------------