TSTP Solution File: GRP039-5 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP039-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 : Thu Aug 31 00:56:47 EDT 2023
% Result : Unsatisfiable 3.80s 1.14s
% Output : CNFRefutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of clauses : 45 ( 30 unt; 4 nHn; 30 RR)
% Number of literals : 70 ( 24 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% 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_291,plain,
( ~ subgroup_member(inverse(a))
| ~ subgroup_member(b)
| subgroup_member(c) ),
inference(superposition,[status(thm)],[c_55,c_63]) ).
cnf(c_292,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(c)
| subgroup_member(d) ),
inference(superposition,[status(thm)],[c_56,c_63]) ).
cnf(c_294,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_292,c_57]) ).
cnf(c_297,plain,
( ~ subgroup_member(inverse(a))
| subgroup_member(c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_291,c_54]) ).
cnf(c_318,plain,
( multiply(X0,element_in_O2(X0,d)) = d
| subgroup_member(X0) ),
inference(superposition,[status(thm)],[c_53,c_57]) ).
cnf(c_349,plain,
( ~ subgroup_member(a)
| subgroup_member(c) ),
inference(superposition,[status(thm)],[c_58,c_297]) ).
cnf(c_358,plain,
~ subgroup_member(a),
inference(global_subsumption_just,[status(thm)],[c_349,c_294,c_349]) ).
cnf(c_410,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_50,c_62]) ).
cnf(c_411,plain,
multiply(b,multiply(inverse(a),X0)) = multiply(c,X0),
inference(superposition,[status(thm)],[c_55,c_62]) ).
cnf(c_493,plain,
multiply(b,identity) = multiply(c,a),
inference(superposition,[status(thm)],[c_61,c_411]) ).
cnf(c_577,plain,
multiply(c,a) = b,
inference(demodulation,[status(thm)],[c_493,c_49]) ).
cnf(c_578,plain,
multiply(c,multiply(a,X0)) = multiply(b,X0),
inference(superposition,[status(thm)],[c_577,c_62]) ).
cnf(c_647,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_410,c_60]) ).
cnf(c_651,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_50,c_647]) ).
cnf(c_667,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_651,c_49]) ).
cnf(c_691,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_667,c_647]) ).
cnf(c_748,plain,
multiply(b,c) = multiply(c,d),
inference(superposition,[status(thm)],[c_56,c_578]) ).
cnf(c_1232,plain,
multiply(inverse(c),b) = a,
inference(superposition,[status(thm)],[c_577,c_691]) ).
cnf(c_1242,plain,
( ~ subgroup_member(multiply(X0,X1))
| ~ subgroup_member(inverse(X0))
| subgroup_member(X1) ),
inference(superposition,[status(thm)],[c_691,c_63]) ).
cnf(c_1301,plain,
( ~ subgroup_member(inverse(c))
| ~ subgroup_member(b)
| subgroup_member(a) ),
inference(superposition,[status(thm)],[c_1232,c_63]) ).
cnf(c_1303,plain,
~ subgroup_member(inverse(c)),
inference(forward_subsumption_resolution,[status(thm)],[c_1301,c_358,c_54]) ).
cnf(c_1315,plain,
multiply(inverse(c),element_in_O2(inverse(c),d)) = d,
inference(superposition,[status(thm)],[c_318,c_1303]) ).
cnf(c_1318,plain,
~ subgroup_member(c),
inference(superposition,[status(thm)],[c_58,c_1303]) ).
cnf(c_1793,plain,
element_in_O2(inverse(c),d) = multiply(c,d),
inference(superposition,[status(thm)],[c_1315,c_647]) ).
cnf(c_1795,plain,
element_in_O2(inverse(c),d) = multiply(b,c),
inference(light_normalisation,[status(thm)],[c_1793,c_748]) ).
cnf(c_1798,plain,
( subgroup_member(multiply(b,c))
| subgroup_member(inverse(c))
| subgroup_member(d) ),
inference(superposition,[status(thm)],[c_1795,c_52]) ).
cnf(c_1799,plain,
subgroup_member(multiply(b,c)),
inference(forward_subsumption_resolution,[status(thm)],[c_1798,c_57,c_1303]) ).
cnf(c_1806,plain,
( ~ subgroup_member(inverse(b))
| subgroup_member(c) ),
inference(superposition,[status(thm)],[c_1799,c_1242]) ).
cnf(c_1807,plain,
~ subgroup_member(inverse(b)),
inference(forward_subsumption_resolution,[status(thm)],[c_1806,c_1318]) ).
cnf(c_1839,plain,
~ subgroup_member(b),
inference(superposition,[status(thm)],[c_58,c_1807]) ).
cnf(c_1840,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1839,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP039-5 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 23:54:36 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.80/1.14 % SZS status Started for theBenchmark.p
% 3.80/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.80/1.14
% 3.80/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.80/1.14
% 3.80/1.14 ------ iProver source info
% 3.80/1.14
% 3.80/1.14 git: date: 2023-05-31 18:12:56 +0000
% 3.80/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.80/1.14 git: non_committed_changes: false
% 3.80/1.14 git: last_make_outside_of_git: false
% 3.80/1.14
% 3.80/1.14 ------ Parsing...successful
% 3.80/1.14
% 3.80/1.14
% 3.80/1.14
% 3.80/1.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.80/1.14
% 3.80/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.80/1.14
% 3.80/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.80/1.14 ------ Proving...
% 3.80/1.14 ------ Problem Properties
% 3.80/1.14
% 3.80/1.14
% 3.80/1.14 clauses 14
% 3.80/1.14 conjectures 4
% 3.80/1.14 EPR 3
% 3.80/1.14 Horn 12
% 3.80/1.14 unary 10
% 3.80/1.14 binary 1
% 3.80/1.14 lits 21
% 3.80/1.14 lits eq 8
% 3.80/1.14 fd_pure 0
% 3.80/1.14 fd_pseudo 0
% 3.80/1.14 fd_cond 0
% 3.80/1.14 fd_pseudo_cond 0
% 3.80/1.14 AC symbols 0
% 3.80/1.14
% 3.80/1.14 ------ Schedule dynamic 5 is on
% 3.80/1.14
% 3.80/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.80/1.14
% 3.80/1.14
% 3.80/1.14 ------
% 3.80/1.14 Current options:
% 3.80/1.14 ------
% 3.80/1.14
% 3.80/1.14
% 3.80/1.14
% 3.80/1.14
% 3.80/1.14 ------ Proving...
% 3.80/1.14
% 3.80/1.14
% 3.80/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.80/1.14
% 3.80/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.80/1.15
% 3.80/1.15
%------------------------------------------------------------------------------