TSTP Solution File: GRP039-7 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP039-7 : TPTP v8.1.2. Bugfixed v1.0.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 00:56:48 EDT 2023
% Result : Unsatisfiable 3.90s 1.19s
% Output : CNFRefutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 38 ( 25 unt; 4 nHn; 25 RR)
% Number of literals : 60 ( 22 equ; 20 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 : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
cnf(c_50,plain,
multiply(X0,inverse(X0)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
cnf(c_51,plain,
inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_inverse) ).
cnf(c_54,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_55,plain,
( multiply(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_56,negated_conjecture,
subgroup_member(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_in_O2) ).
cnf(c_57,negated_conjecture,
multiply(b,inverse(a)) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
cnf(c_58,negated_conjecture,
multiply(a,c) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_c_is_d) ).
cnf(c_59,negated_conjecture,
~ subgroup_member(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_in_O2) ).
cnf(c_60,plain,
( ~ subgroup_member(X0)
| subgroup_member(inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-1.ax',closure_of_inverse) ).
cnf(c_61,plain,
( multiply(X0,X1) != X2
| ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-1.ax',closure_of_multiply) ).
cnf(c_62,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_63,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_64,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_65,plain,
( ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(multiply(X0,X1)) ),
inference(unflattening,[status(thm)],[c_61]) ).
cnf(c_301,plain,
( ~ subgroup_member(inverse(a))
| ~ subgroup_member(b)
| subgroup_member(c) ),
inference(superposition,[status(thm)],[c_57,c_65]) ).
cnf(c_302,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(c)
| subgroup_member(d) ),
inference(superposition,[status(thm)],[c_58,c_65]) ).
cnf(c_303,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_302,c_59]) ).
cnf(c_306,plain,
( ~ subgroup_member(inverse(a))
| subgroup_member(c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_301,c_56]) ).
cnf(c_336,plain,
( ~ subgroup_member(a)
| subgroup_member(c) ),
inference(superposition,[status(thm)],[c_60,c_306]) ).
cnf(c_339,plain,
~ subgroup_member(a),
inference(global_subsumption_just,[status(thm)],[c_336,c_303,c_336]) ).
cnf(c_360,plain,
( multiply(X0,element_in_O2(X0,d)) = d
| subgroup_member(X0) ),
inference(superposition,[status(thm)],[c_55,c_59]) ).
cnf(c_399,plain,
multiply(a,element_in_O2(a,d)) = d,
inference(superposition,[status(thm)],[c_360,c_339]) ).
cnf(c_440,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_50,c_64]) ).
cnf(c_441,plain,
multiply(b,multiply(inverse(a),X0)) = multiply(c,X0),
inference(superposition,[status(thm)],[c_57,c_64]) ).
cnf(c_664,plain,
multiply(b,identity) = multiply(c,a),
inference(superposition,[status(thm)],[c_63,c_441]) ).
cnf(c_794,plain,
multiply(c,a) = b,
inference(demodulation,[status(thm)],[c_664,c_49]) ).
cnf(c_814,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_440,c_62]) ).
cnf(c_823,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_51,c_814]) ).
cnf(c_870,plain,
multiply(inverse(a),d) = c,
inference(superposition,[status(thm)],[c_58,c_823]) ).
cnf(c_875,plain,
multiply(inverse(a),d) = element_in_O2(a,d),
inference(superposition,[status(thm)],[c_399,c_823]) ).
cnf(c_882,plain,
multiply(inverse(c),b) = a,
inference(superposition,[status(thm)],[c_794,c_823]) ).
cnf(c_951,plain,
( ~ subgroup_member(inverse(c))
| ~ subgroup_member(b)
| subgroup_member(a) ),
inference(superposition,[status(thm)],[c_882,c_65]) ).
cnf(c_953,plain,
~ subgroup_member(inverse(c)),
inference(forward_subsumption_resolution,[status(thm)],[c_951,c_339,c_56]) ).
cnf(c_963,plain,
~ subgroup_member(c),
inference(superposition,[status(thm)],[c_60,c_953]) ).
cnf(c_1493,plain,
element_in_O2(a,d) = c,
inference(light_normalisation,[status(thm)],[c_875,c_870]) ).
cnf(c_1494,plain,
( subgroup_member(a)
| subgroup_member(c)
| subgroup_member(d) ),
inference(superposition,[status(thm)],[c_1493,c_54]) ).
cnf(c_1495,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1494,c_59,c_963,c_339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP039-7 : TPTP v8.1.2. Bugfixed v1.0.1.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 21:17:37 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.90/1.19 % SZS status Started for theBenchmark.p
% 3.90/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.90/1.19
% 3.90/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.90/1.19
% 3.90/1.19 ------ iProver source info
% 3.90/1.19
% 3.90/1.19 git: date: 2023-05-31 18:12:56 +0000
% 3.90/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.90/1.19 git: non_committed_changes: false
% 3.90/1.19 git: last_make_outside_of_git: false
% 3.90/1.19
% 3.90/1.19 ------ Parsing...successful
% 3.90/1.19
% 3.90/1.19
% 3.90/1.19
% 3.90/1.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.90/1.19
% 3.90/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.90/1.19
% 3.90/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.90/1.19 ------ Proving...
% 3.90/1.19 ------ Problem Properties
% 3.90/1.19
% 3.90/1.19
% 3.90/1.19 clauses 16
% 3.90/1.19 conjectures 4
% 3.90/1.19 EPR 3
% 3.90/1.19 Horn 14
% 3.90/1.19 unary 12
% 3.90/1.19 binary 1
% 3.90/1.19 lits 23
% 3.90/1.19 lits eq 10
% 3.90/1.19 fd_pure 0
% 3.90/1.19 fd_pseudo 0
% 3.90/1.19 fd_cond 0
% 3.90/1.19 fd_pseudo_cond 0
% 3.90/1.19 AC symbols 0
% 3.90/1.19
% 3.90/1.19 ------ Schedule dynamic 5 is on
% 3.90/1.19
% 3.90/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.90/1.19
% 3.90/1.19
% 3.90/1.19 ------
% 3.90/1.19 Current options:
% 3.90/1.19 ------
% 3.90/1.19
% 3.90/1.19
% 3.90/1.19
% 3.90/1.19
% 3.90/1.19 ------ Proving...
% 3.90/1.19
% 3.90/1.19
% 3.90/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.90/1.19
% 3.90/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.90/1.19
% 3.90/1.19
%------------------------------------------------------------------------------