TSTP Solution File: GRP250-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP250-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 00:58:55 EDT 2023
% Result : Unsatisfiable 0.46s 1.15s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of clauses : 68 ( 20 unt; 31 nHn; 56 RR)
% Number of literals : 141 ( 117 equ; 55 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_85,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c9) != sk_c8
| multiply(X4,sk_c8) != sk_c7
| multiply(X5,sk_c8) != sk_c7
| inverse(X0) != sk_c9
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c9
| inverse(X4) != sk_c8
| inverse(X5) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_87,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_88,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_437,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_85]) ).
cnf(c_438,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_85]) ).
cnf(c_439,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_85]) ).
cnf(c_440,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c7
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_85]) ).
cnf(c_441,negated_conjecture,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_85]) ).
cnf(c_872,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_979,plain,
( multiply(sk_c1,sk_c9) != sk_c8
| inverse(sk_c1) != sk_c9
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_437]) ).
cnf(c_1029,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_872,c_86]) ).
cnf(c_1066,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_1029]) ).
cnf(c_1067,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_1029]) ).
cnf(c_1078,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1029,c_1029]) ).
cnf(c_1228,plain,
( inverse(sk_c1) != sk_c9
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_50,c_437]) ).
cnf(c_1231,plain,
( inverse(sk_c4) != sk_c9
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_55,c_437]) ).
cnf(c_1232,plain,
( inverse(sk_c4) != sk_c9
| ~ sP0_iProver_split
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_49,c_437]) ).
cnf(c_1294,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c7
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_86,c_438]) ).
cnf(c_1372,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_439]) ).
cnf(c_1482,plain,
( inverse(identity) != sk_c7
| sk_c8 != sk_c7
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_86,c_440]) ).
cnf(c_1760,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1067,c_1078]) ).
cnf(c_1769,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1760,c_1066]) ).
cnf(c_2049,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1078,c_87]) ).
cnf(c_2056,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1078,c_1760]) ).
cnf(c_2057,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2056,c_1760]) ).
cnf(c_2090,plain,
inverse(inverse(sk_c8)) = sk_c8,
inference(instantiation,[status(thm)],[c_2057]) ).
cnf(c_2422,plain,
( multiply(sk_c4,sk_c9) = identity
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_56,c_2049]) ).
cnf(c_2433,plain,
( multiply(sk_c2,sk_c8) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_70,c_2049]) ).
cnf(c_2814,plain,
( inverse(sk_c1) = sk_c9
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2422,c_55]) ).
cnf(c_2842,plain,
( multiply(sk_c1,sk_c9) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2814,c_2049]) ).
cnf(c_2843,plain,
( inverse(sk_c9) = sk_c1
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2814,c_2057]) ).
cnf(c_3244,plain,
( inverse(sk_c5) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2433,c_64]) ).
cnf(c_3309,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3244,c_2049]) ).
cnf(c_3310,plain,
( inverse(sk_c8) = sk_c5
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3244,c_2057]) ).
cnf(c_6321,plain,
( inverse(sk_c4) = sk_c9
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2842,c_50]) ).
cnf(c_6666,plain,
( inverse(sk_c9) = sk_c4
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_6321,c_2057]) ).
cnf(c_7558,plain,
( sk_c1 = sk_c4
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_6666,c_2843]) ).
cnf(c_7569,plain,
( ~ sP0_iProver_split
| inverse(sk_c4) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1228,c_56,c_979,c_1231,c_1228,c_1232]) ).
cnf(c_7571,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_7569,c_979,c_1231,c_1232,c_7569]) ).
cnf(c_7573,plain,
( sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_441,c_7571]) ).
cnf(c_7889,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_7558,c_49]) ).
cnf(c_8017,plain,
( inverse(sk_c2) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3309,c_69]) ).
cnf(c_8110,plain,
( multiply(sk_c8,sk_c2) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_8017,c_87]) ).
cnf(c_8154,plain,
sk_c8 = identity,
inference(superposition,[status(thm)],[c_7889,c_2842]) ).
cnf(c_8225,plain,
( inverse(identity) = sk_c5
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_3310,c_8154]) ).
cnf(c_8260,plain,
( multiply(sk_c5,identity) = sk_c7
| multiply(sk_c2,identity) = sk_c7 ),
inference(demodulation,[status(thm)],[c_63,c_8154]) ).
cnf(c_8436,plain,
( sk_c5 = identity
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_8225,c_1769]) ).
cnf(c_8715,plain,
( multiply(identity,sk_c2) = identity
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_8110,c_8154]) ).
cnf(c_8716,plain,
( sk_c7 = identity
| sk_c2 = identity ),
inference(demodulation,[status(thm)],[c_8715,c_86]) ).
cnf(c_9596,plain,
( sk_c5 = sk_c7
| sk_c7 = sk_c2 ),
inference(demodulation,[status(thm)],[c_8260,c_1760]) ).
cnf(c_9609,plain,
( sk_c5 = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_9596,c_8716]) ).
cnf(c_9840,plain,
( sk_c7 != identity
| identity != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1294,c_1769,c_8154]) ).
cnf(c_9841,plain,
( sk_c7 != identity
| ~ sP1_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_9840]) ).
cnf(c_10106,plain,
sk_c7 = identity,
inference(superposition,[status(thm)],[c_9609,c_8436]) ).
cnf(c_10107,plain,
~ sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_9841,c_10106]) ).
cnf(c_10310,plain,
( sk_c8 != sk_c7
| inverse(identity) != sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1482,c_1372,c_1482,c_2090,c_7573,c_10107,c_10106]) ).
cnf(c_10311,plain,
( inverse(identity) != sk_c7
| sk_c8 != sk_c7 ),
inference(renaming,[status(thm)],[c_10310]) ).
cnf(c_10312,plain,
identity != identity,
inference(light_normalisation,[status(thm)],[c_10311,c_1769,c_8154,c_10106]) ).
cnf(c_10313,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_10312]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP250-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 20:12:41 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.46/1.15 % SZS status Started for theBenchmark.p
% 0.46/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.15
% 0.46/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.46/1.15
% 0.46/1.15 ------ iProver source info
% 0.46/1.15
% 0.46/1.15 git: date: 2023-05-31 18:12:56 +0000
% 0.46/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.46/1.15 git: non_committed_changes: false
% 0.46/1.15 git: last_make_outside_of_git: false
% 0.46/1.15
% 0.46/1.15 ------ Parsing...successful
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.15
% 0.46/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.46/1.15 ------ Proving...
% 0.46/1.15 ------ Problem Properties
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 clauses 44
% 0.46/1.15 conjectures 41
% 0.46/1.15 EPR 1
% 0.46/1.15 Horn 7
% 0.46/1.15 unary 3
% 0.46/1.15 binary 36
% 0.46/1.15 lits 91
% 0.46/1.15 lits eq 83
% 0.46/1.15 fd_pure 0
% 0.46/1.15 fd_pseudo 0
% 0.46/1.15 fd_cond 0
% 0.46/1.15 fd_pseudo_cond 0
% 0.46/1.15 AC symbols 0
% 0.46/1.15
% 0.46/1.15 ------ Schedule dynamic 5 is on
% 0.46/1.15
% 0.46/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------
% 0.46/1.15 Current options:
% 0.46/1.15 ------
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------ Proving...
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.15
% 0.46/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.15
% 0.46/1.15
%------------------------------------------------------------------------------