TSTP Solution File: GRP300-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP300-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 00:59:12 EDT 2023
% Result : Unsatisfiable 3.64s 1.26s
% Output : CNFRefutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of clauses : 61 ( 25 unt; 23 nHn; 43 RR)
% Number of literals : 121 ( 103 equ; 47 neg)
% Maximal clause size : 10 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c4
| multiply(sk_c5,sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c5
| inverse(sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c6) = sk_c4
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_73,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| multiply(X1,sk_c6) != sk_c5
| multiply(X2,sk_c4) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c4
| multiply(sk_c5,sk_c4) != sk_c6
| multiply(sk_c4,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| inverse(X1) != sk_c6
| inverse(X2) != sk_c4
| inverse(sk_c6) != sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_75,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_76,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_321,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_73]) ).
cnf(c_322,negated_conjecture,
( multiply(X0,sk_c4) != sk_c5
| inverse(X0) != sk_c4
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_73]) ).
cnf(c_323,negated_conjecture,
( multiply(sk_c6,sk_c5) != sk_c4
| multiply(sk_c5,sk_c4) != sk_c6
| multiply(sk_c4,sk_c6) != sk_c5
| inverse(sk_c6) != sk_c4
| sP0_iProver_split
| sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_73]) ).
cnf(c_606,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_75,c_76]) ).
cnf(c_699,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_606,c_74]) ).
cnf(c_725,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_75,c_699]) ).
cnf(c_726,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_76,c_699]) ).
cnf(c_730,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_699,c_699]) ).
cnf(c_827,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_725,c_730]) ).
cnf(c_868,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c5 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_75,c_321]) ).
cnf(c_948,plain,
( inverse(inverse(sk_c4)) != sk_c4
| sk_c5 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_75,c_322]) ).
cnf(c_1366,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_730,c_75]) ).
cnf(c_1371,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_730,c_827]) ).
cnf(c_1372,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1371,c_827]) ).
cnf(c_1387,plain,
inverse(inverse(sk_c6)) = sk_c6,
inference(instantiation,[status(thm)],[c_1372]) ).
cnf(c_1423,plain,
( multiply(sk_c2,sk_c6) = identity
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_63,c_1366]) ).
cnf(c_1425,plain,
( multiply(sk_c1,sk_c6) = identity
| inverse(sk_c6) = sk_c4 ),
inference(superposition,[status(thm)],[c_64,c_1366]) ).
cnf(c_1590,plain,
( inverse(sk_c1) = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_1423,c_62]) ).
cnf(c_1610,plain,
( multiply(sk_c1,sk_c6) = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_1590,c_1366]) ).
cnf(c_1611,plain,
( inverse(sk_c6) = sk_c1
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_1590,c_1372]) ).
cnf(c_1658,plain,
( inverse(sk_c6) = sk_c4
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_1425,c_58]) ).
cnf(c_1718,plain,
( multiply(sk_c4,sk_c6) = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_1658,c_75]) ).
cnf(c_1766,plain,
( inverse(sk_c2) = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_1718,c_69]) ).
cnf(c_1935,plain,
( inverse(sk_c6) = sk_c2
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_1766,c_1372]) ).
cnf(c_2785,plain,
( sk_c5 = identity
| sk_c2 = sk_c1 ),
inference(superposition,[status(thm)],[c_1935,c_1611]) ).
cnf(c_2810,plain,
( multiply(sk_c1,sk_c6) = sk_c5
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_2785,c_56]) ).
cnf(c_2824,plain,
( inverse(sk_c1) != sk_c6
| ~ sP0_iProver_split
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_2810,c_321]) ).
cnf(c_2902,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_2824,c_868,c_1387,c_1590,c_2824]) ).
cnf(c_2904,plain,
( multiply(sk_c6,sk_c5) != sk_c4
| multiply(sk_c5,sk_c4) != sk_c6
| multiply(sk_c4,sk_c6) != sk_c5
| inverse(sk_c6) != sk_c4
| sP1_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_323,c_2902]) ).
cnf(c_3677,plain,
( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,sk_c5)) = sk_c6
| inverse(sk_c6) = sk_c4 ),
inference(superposition,[status(thm)],[c_70,c_726]) ).
cnf(c_3723,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_1366,c_726]) ).
cnf(c_3736,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_3723,c_827]) ).
cnf(c_4912,plain,
sk_c5 = identity,
inference(superposition,[status(thm)],[c_1610,c_2810]) ).
cnf(c_4965,plain,
( multiply(sk_c6,identity) = sk_c4
| multiply(identity,sk_c4) = sk_c6 ),
inference(demodulation,[status(thm)],[c_49,c_4912]) ).
cnf(c_5465,plain,
sk_c6 = sk_c4,
inference(demodulation,[status(thm)],[c_4965,c_74,c_827]) ).
cnf(c_5908,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_699,c_3736]) ).
cnf(c_5958,plain,
multiply(multiply(inverse(X0),inverse(X1)),X1) = inverse(X0),
inference(demodulation,[status(thm)],[c_3736,c_5908]) ).
cnf(c_6224,plain,
( inverse(inverse(sk_c4)) != sk_c4
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_948,c_948,c_4912]) ).
cnf(c_6226,plain,
( inverse(inverse(sk_c6)) != sk_c6
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_6224,c_5465]) ).
cnf(c_6227,plain,
( sk_c6 != sk_c6
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_6226,c_1372]) ).
cnf(c_6228,plain,
~ sP1_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_6227]) ).
cnf(c_7373,plain,
( multiply(inverse(multiply(X0,sk_c6)),X0) = sk_c6
| inverse(sk_c6) = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_3677,c_827,c_4912,c_5465]) ).
cnf(c_7374,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm)],[c_7373,c_5908,c_5958]) ).
cnf(c_7432,plain,
multiply(sk_c6,sk_c6) = identity,
inference(superposition,[status(thm)],[c_7374,c_75]) ).
cnf(c_7889,plain,
( multiply(sk_c6,identity) != sk_c6
| multiply(identity,sk_c6) != sk_c6
| sk_c6 != sk_c6
| identity != identity
| sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_2904,c_4912,c_5465,c_7374,c_7432]) ).
cnf(c_7890,plain,
( multiply(sk_c6,identity) != sk_c6
| multiply(identity,sk_c6) != sk_c6
| sP1_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_7889]) ).
cnf(c_7891,plain,
( sk_c6 != sk_c6
| sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_7890,c_74,c_827]) ).
cnf(c_7892,plain,
sP1_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_7891]) ).
cnf(c_7893,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7892,c_6228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP300-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n005.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 22:21:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.64/1.26 % SZS status Started for theBenchmark.p
% 3.64/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 3.64/1.26
% 3.64/1.26 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.64/1.26
% 3.64/1.26 ------ iProver source info
% 3.64/1.26
% 3.64/1.26 git: date: 2023-05-31 18:12:56 +0000
% 3.64/1.26 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.64/1.26 git: non_committed_changes: false
% 3.64/1.26 git: last_make_outside_of_git: false
% 3.64/1.26
% 3.64/1.26 ------ Parsing...successful
% 3.64/1.26
% 3.64/1.26
% 3.64/1.26
% 3.64/1.26 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.64/1.26
% 3.64/1.26 ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.64/1.26
% 3.64/1.26 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.64/1.26 ------ Proving...
% 3.64/1.26 ------ Problem Properties
% 3.64/1.26
% 3.64/1.26
% 3.64/1.26 clauses 30
% 3.64/1.26 conjectures 27
% 3.64/1.26 EPR 0
% 3.64/1.26 Horn 5
% 3.64/1.26 unary 3
% 3.64/1.26 binary 24
% 3.64/1.26 lits 63
% 3.64/1.26 lits eq 59
% 3.64/1.26 fd_pure 0
% 3.64/1.26 fd_pseudo 0
% 3.64/1.26 fd_cond 0
% 3.64/1.26 fd_pseudo_cond 0
% 3.64/1.26 AC symbols 0
% 3.64/1.26
% 3.64/1.26 ------ Schedule dynamic 5 is on
% 3.64/1.26
% 3.64/1.26 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.64/1.26
% 3.64/1.26
% 3.64/1.26 ------
% 3.64/1.26 Current options:
% 3.64/1.26 ------
% 3.64/1.26
% 3.64/1.26
% 3.64/1.26
% 3.64/1.26
% 3.64/1.26 ------ Proving...
% 3.64/1.26
% 3.64/1.26
% 3.64/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 3.64/1.26
% 3.64/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.64/1.26
% 3.64/1.28
%------------------------------------------------------------------------------