TSTP Solution File: GRP292-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP292-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 00:59:10 EDT 2023
% Result : Unsatisfiable 3.52s 1.15s
% Output : CNFRefutation 4.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of clauses : 48 ( 18 unt; 14 nHn; 37 RR)
% Number of literals : 104 ( 79 equ; 56 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 27 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c3) = sk_c4
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c6
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_69,negated_conjecture,
( multiply(X0,X1) != sk_c6
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c7) != sk_c6
| multiply(X3,sk_c5) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c7
| inverse(X0) != X1
| inverse(X2) != sk_c7
| inverse(X3) != sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_71,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_72,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_73,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c6
| multiply(inverse(X0),sk_c5) != sk_c6
| multiply(X1,sk_c7) != sk_c6
| multiply(X2,sk_c5) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c7
| inverse(X1) != sk_c7
| inverse(X2) != sk_c5 ),
inference(unflattening,[status(thm)],[c_69]) ).
cnf(c_278,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_73]) ).
cnf(c_279,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c5
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_73]) ).
cnf(c_280,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c6
| multiply(inverse(X0),sk_c5) != sk_c6
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_73]) ).
cnf(c_281,negated_conjecture,
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_73]) ).
cnf(c_527,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_71,c_278]) ).
cnf(c_565,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_71,c_72]) ).
cnf(c_647,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_565,c_70]) ).
cnf(c_669,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_71,c_647]) ).
cnf(c_673,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_647,c_647]) ).
cnf(c_775,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_669,c_673]) ).
cnf(c_804,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_673,c_71]) ).
cnf(c_806,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_673,c_775]) ).
cnf(c_807,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_806,c_775]) ).
cnf(c_859,plain,
( inverse(inverse(sk_c5)) != sk_c5
| sk_c6 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_71,c_279]) ).
cnf(c_874,plain,
( sk_c6 != identity
| ~ sP1_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_859,c_807]) ).
cnf(c_925,plain,
( multiply(inverse(X0),sk_c5) != sk_c6
| sk_c6 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_280,c_804]) ).
cnf(c_932,plain,
( sk_c6 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_71,c_925]) ).
cnf(c_1188,plain,
( multiply(sk_c1,sk_c7) = identity
| inverse(sk_c3) = sk_c4 ),
inference(superposition,[status(thm)],[c_59,c_804]) ).
cnf(c_1337,plain,
( inverse(sk_c3) = sk_c4
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1188,c_55]) ).
cnf(c_1425,plain,
( multiply(sk_c3,sk_c4) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1337,c_804]) ).
cnf(c_2417,plain,
( inverse(sk_c2) = sk_c5
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1425,c_66]) ).
cnf(c_2436,plain,
( multiply(sk_c2,sk_c5) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2417,c_804]) ).
cnf(c_3716,plain,
( multiply(sk_c3,sk_c4) = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2436,c_62]) ).
cnf(c_3816,plain,
sk_c6 = identity,
inference(superposition,[status(thm)],[c_3716,c_1425]) ).
cnf(c_3819,plain,
~ sP2_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_932,c_3816]) ).
cnf(c_3820,plain,
~ sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_874,c_3816]) ).
cnf(c_3846,plain,
( multiply(sk_c7,identity) != sk_c5
| multiply(sk_c5,identity) != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_281,c_3816]) ).
cnf(c_3860,plain,
( multiply(sk_c7,identity) = sk_c5
| multiply(sk_c5,identity) = sk_c7 ),
inference(demodulation,[status(thm)],[c_49,c_3816]) ).
cnf(c_3902,plain,
( multiply(sk_c7,identity) != sk_c5
| multiply(sk_c5,identity) != sk_c7
| sP0_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_3846,c_3819,c_3820]) ).
cnf(c_4574,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm)],[c_3860,c_775]) ).
cnf(c_4821,plain,
( inverse(inverse(sk_c7)) != sk_c7
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_527,c_527,c_3816]) ).
cnf(c_4823,plain,
( inverse(inverse(sk_c5)) != sk_c5
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_4821,c_4574]) ).
cnf(c_4824,plain,
( sk_c5 != sk_c5
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_4823,c_807]) ).
cnf(c_4825,plain,
~ sP0_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_4824]) ).
cnf(c_6124,plain,
( multiply(sk_c5,identity) != sk_c5
| sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_3902,c_4574]) ).
cnf(c_6125,plain,
( sk_c5 != sk_c5
| sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_6124,c_775]) ).
cnf(c_6126,plain,
sP0_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_6125]) ).
cnf(c_6127,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6126,c_4825]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP292-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.16/0.34 % Computer : n026.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Tue Aug 29 02:16:05 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.52/1.15 % SZS status Started for theBenchmark.p
% 3.52/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.52/1.15
% 3.52/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.52/1.15
% 3.52/1.15 ------ iProver source info
% 3.52/1.15
% 3.52/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.52/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.52/1.15 git: non_committed_changes: false
% 3.52/1.15 git: last_make_outside_of_git: false
% 3.52/1.15
% 3.52/1.15 ------ Parsing...successful
% 3.52/1.15
% 3.52/1.15
% 3.52/1.15
% 3.52/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.52/1.15
% 3.52/1.15 ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.52/1.15
% 3.52/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.52/1.15 ------ Proving...
% 3.52/1.15 ------ Problem Properties
% 3.52/1.15
% 3.52/1.15
% 3.52/1.15 clauses 27
% 3.52/1.15 conjectures 24
% 3.52/1.15 EPR 0
% 3.52/1.15 Horn 6
% 3.52/1.15 unary 3
% 3.52/1.15 binary 20
% 3.52/1.15 lits 57
% 3.52/1.15 lits eq 51
% 3.52/1.15 fd_pure 0
% 3.52/1.15 fd_pseudo 0
% 3.52/1.15 fd_cond 0
% 3.52/1.15 fd_pseudo_cond 0
% 3.52/1.15 AC symbols 0
% 3.52/1.15
% 3.52/1.15 ------ Schedule dynamic 5 is on
% 3.52/1.15
% 3.52/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.52/1.15
% 3.52/1.15
% 3.52/1.15 ------
% 3.52/1.15 Current options:
% 3.52/1.15 ------
% 3.52/1.15
% 3.52/1.15
% 3.52/1.15
% 3.52/1.15
% 3.52/1.15 ------ Proving...
% 3.52/1.15
% 3.52/1.15
% 3.52/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.52/1.15
% 3.52/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.08/1.15
% 4.08/1.16
%------------------------------------------------------------------------------