TSTP Solution File: GRP063-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP063-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 00:57:13 EDT 2023
% Result : Unsatisfiable 3.99s 1.18s
% Output : CNFRefutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 4
% Syntax : Number of clauses : 52 ( 49 unt; 0 nHn; 5 RR)
% Number of literals : 57 ( 56 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
divide(X0,divide(divide(X1,X1),X2)) = multiply(X0,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,plain,
divide(divide(X0,X0),X1) = inverse(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
cnf(c_52,negated_conjecture,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_68,plain,
divide(X0,inverse(X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_50,c_51]) ).
cnf(c_69,plain,
divide(X0,divide(divide(inverse(X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
inference(light_normalisation,[status(thm)],[c_49,c_51]) ).
cnf(c_70,plain,
divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(demodulation,[status(thm)],[c_69,c_51]) ).
cnf(c_129,plain,
divide(inverse(divide(X0,X0)),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_51,c_51]) ).
cnf(c_133,plain,
divide(multiply(inverse(X0),X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_68,c_51]) ).
cnf(c_134,plain,
multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_68,c_51]) ).
cnf(c_143,plain,
multiply(inverse(divide(X0,X0)),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_129,c_68]) ).
cnf(c_151,plain,
multiply(multiply(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_133,c_68]) ).
cnf(c_152,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| inverse(inverse(a2)) != a2 ),
inference(demodulation,[status(thm)],[c_52,c_151]) ).
cnf(c_185,plain,
divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
inference(superposition,[status(thm)],[c_51,c_70]) ).
cnf(c_188,plain,
divide(X0,divide(inverse(X1),divide(inverse(X0),X1))) = divide(X2,X2),
inference(superposition,[status(thm)],[c_129,c_70]) ).
cnf(c_192,plain,
divide(divide(X0,X0),divide(divide(inverse(X1),X2),inverse(X2))) = X1,
inference(superposition,[status(thm)],[c_129,c_70]) ).
cnf(c_297,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_185,c_68]) ).
cnf(c_303,plain,
inverse(inverse(multiply(inverse(divide(X0,X0)),X1))) = X1,
inference(superposition,[status(thm)],[c_297,c_134]) ).
cnf(c_306,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_297,c_297]) ).
cnf(c_307,plain,
inverse(inverse(inverse(inverse(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_303,c_143]) ).
cnf(c_333,plain,
divide(inverse(inverse(inverse(X0))),divide(divide(inverse(X1),X2),divide(X0,X2))) = X1,
inference(superposition,[status(thm)],[c_307,c_70]) ).
cnf(c_337,plain,
multiply(X0,inverse(inverse(inverse(X1)))) = divide(X0,X1),
inference(superposition,[status(thm)],[c_307,c_68]) ).
cnf(c_360,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_306,c_297]) ).
cnf(c_453,plain,
multiply(X0,inverse(inverse(inverse(X1)))) = divide(inverse(inverse(X0)),X1),
inference(superposition,[status(thm)],[c_337,c_306]) ).
cnf(c_455,plain,
divide(inverse(inverse(X0)),X1) = divide(X0,X1),
inference(light_normalisation,[status(thm)],[c_453,c_337]) ).
cnf(c_611,plain,
divide(X0,X0) = divide(X1,X1),
inference(superposition,[status(thm)],[c_188,c_188]) ).
cnf(c_730,plain,
inverse(multiply(divide(inverse(X0),X1),X1)) = X0,
inference(demodulation,[status(thm)],[c_192,c_51,c_68]) ).
cnf(c_734,plain,
inverse(multiply(multiply(inverse(X0),X1),inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_68,c_730]) ).
cnf(c_739,plain,
inverse(multiply(divide(X0,X1),X1)) = inverse(X0),
inference(superposition,[status(thm)],[c_455,c_730]) ).
cnf(c_758,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_730,c_739]) ).
cnf(c_759,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_152,c_758]) ).
cnf(c_764,plain,
multiply(X0,inverse(X1)) = divide(X0,X1),
inference(demodulation,[status(thm)],[c_337,c_758]) ).
cnf(c_840,plain,
inverse(divide(multiply(inverse(X0),X1),X1)) = X0,
inference(demodulation,[status(thm)],[c_734,c_764]) ).
cnf(c_844,plain,
inverse(divide(X0,multiply(X1,X0))) = X1,
inference(superposition,[status(thm)],[c_360,c_840]) ).
cnf(c_928,plain,
multiply(inverse(X0),X0) = divide(X1,X1),
inference(superposition,[status(thm)],[c_611,c_68]) ).
cnf(c_1045,plain,
divide(X0,multiply(X1,X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_844,c_758]) ).
cnf(c_1310,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_928,c_68]) ).
cnf(c_1319,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(backward_subsumption_resolution,[status(thm)],[c_759,c_1310]) ).
cnf(c_1468,plain,
divide(multiply(X0,X1),X1) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_360,c_1045]) ).
cnf(c_1478,plain,
divide(multiply(X0,X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_1468,c_758]) ).
cnf(c_1531,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_1478,c_68]) ).
cnf(c_1532,plain,
multiply(divide(X0,X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_1531,c_764]) ).
cnf(c_1737,plain,
inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_1532,c_1045]) ).
cnf(c_1860,plain,
divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_68,c_1737]) ).
cnf(c_1916,plain,
divide(X0,divide(inverse(X1),X2)) = multiply(X0,multiply(X2,X1)),
inference(superposition,[status(thm)],[c_1860,c_68]) ).
cnf(c_1949,plain,
divide(X0,divide(divide(inverse(X1),X2),X3)) = multiply(X0,multiply(X3,multiply(X2,X1))),
inference(superposition,[status(thm)],[c_1860,c_1916]) ).
cnf(c_2502,plain,
divide(inverse(X0),divide(divide(inverse(X1),X2),divide(X0,X2))) = X1,
inference(light_normalisation,[status(thm)],[c_333,c_758]) ).
cnf(c_2503,plain,
multiply(inverse(X0),multiply(divide(X0,X1),multiply(X1,X2))) = X2,
inference(demodulation,[status(thm)],[c_2502,c_1949]) ).
cnf(c_2532,plain,
multiply(divide(X0,X1),multiply(X1,X2)) = multiply(inverse(inverse(X0)),X2),
inference(superposition,[status(thm)],[c_2503,c_360]) ).
cnf(c_2541,plain,
multiply(divide(X0,X1),multiply(X1,X2)) = multiply(X0,X2),
inference(light_normalisation,[status(thm)],[c_2532,c_758]) ).
cnf(c_3191,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_1478,c_2541]) ).
cnf(c_3226,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1319,c_3191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP063-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.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 20:22:10 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
% 3.99/1.18 % SZS status Started for theBenchmark.p
% 3.99/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.18
% 3.99/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.99/1.18
% 3.99/1.18 ------ iProver source info
% 3.99/1.18
% 3.99/1.18 git: date: 2023-05-31 18:12:56 +0000
% 3.99/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.99/1.18 git: non_committed_changes: false
% 3.99/1.18 git: last_make_outside_of_git: false
% 3.99/1.18
% 3.99/1.18 ------ Parsing...successful
% 3.99/1.18
% 3.99/1.18
% 3.99/1.18
% 3.99/1.18 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.99/1.18
% 3.99/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.99/1.18
% 3.99/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.99/1.18 ------ Proving...
% 3.99/1.18 ------ Problem Properties
% 3.99/1.18
% 3.99/1.18
% 3.99/1.18 clauses 4
% 3.99/1.18 conjectures 1
% 3.99/1.18 EPR 0
% 3.99/1.18 Horn 4
% 3.99/1.18 unary 3
% 3.99/1.18 binary 0
% 3.99/1.18 lits 6
% 3.99/1.18 lits eq 6
% 3.99/1.18 fd_pure 0
% 3.99/1.18 fd_pseudo 0
% 3.99/1.18 fd_cond 0
% 3.99/1.18 fd_pseudo_cond 0
% 3.99/1.18 AC symbols 0
% 3.99/1.18
% 3.99/1.18 ------ Schedule dynamic 5 is on
% 3.99/1.18
% 3.99/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.99/1.18
% 3.99/1.18
% 3.99/1.18 ------
% 3.99/1.18 Current options:
% 3.99/1.18 ------
% 3.99/1.18
% 3.99/1.18
% 3.99/1.18
% 3.99/1.18
% 3.99/1.18 ------ Proving...
% 3.99/1.18
% 3.99/1.18
% 3.99/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.18
% 3.99/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.99/1.18
% 3.99/1.18
%------------------------------------------------------------------------------