TSTP Solution File: GRP108-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP108-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 00:57:32 EDT 2023
% Result : Unsatisfiable 0.47s 1.18s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of clauses : 48 ( 43 unt; 0 nHn; 7 RR)
% Number of literals : 57 ( 56 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 113 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,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)
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_66,plain,
multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1)) = X2,
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_117,plain,
multiply(multiply(double_divide(X0,double_divide(X1,X2)),X3),X0) = multiply(X2,multiply(X3,X1)),
inference(superposition,[status(thm)],[c_66,c_66]) ).
cnf(c_121,plain,
multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0))) = X2,
inference(superposition,[status(thm)],[c_117,c_66]) ).
cnf(c_126,plain,
multiply(double_divide(multiply(multiply(double_divide(X0,X1),X2),X0),X3),multiply(X3,X2)) = X1,
inference(superposition,[status(thm)],[c_66,c_121]) ).
cnf(c_130,plain,
multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1)) = double_divide(X2,X0),
inference(superposition,[status(thm)],[c_121,c_121]) ).
cnf(c_131,plain,
multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0) = X2,
inference(superposition,[status(thm)],[c_121,c_121]) ).
cnf(c_240,plain,
double_divide(X0,multiply(double_divide(multiply(X1,X0),X2),X1)) = X2,
inference(superposition,[status(thm)],[c_130,c_126]) ).
cnf(c_349,plain,
double_divide(multiply(X0,X1),double_divide(X1,multiply(X2,X0))) = X2,
inference(superposition,[status(thm)],[c_130,c_240]) ).
cnf(c_352,plain,
double_divide(multiply(multiply(double_divide(X0,X1),X2),X0),multiply(double_divide(X2,X3),X1)) = X3,
inference(superposition,[status(thm)],[c_66,c_240]) ).
cnf(c_362,plain,
multiply(multiply(double_divide(multiply(X0,X1),X2),X0),X1) = inverse(X2),
inference(superposition,[status(thm)],[c_240,c_50]) ).
cnf(c_473,plain,
multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_349,c_50]) ).
cnf(c_683,plain,
multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(X1)) = X2,
inference(superposition,[status(thm)],[c_473,c_121]) ).
cnf(c_900,plain,
double_divide(multiply(inverse(X0),X1),multiply(X0,X2)) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_683,c_240]) ).
cnf(c_989,plain,
double_divide(multiply(inverse(double_divide(X0,X1)),X2),X3) = double_divide(X2,multiply(X1,multiply(X3,X0))),
inference(superposition,[status(thm)],[c_121,c_900]) ).
cnf(c_1007,plain,
double_divide(X0,multiply(double_divide(X0,X1),inverse(X2))) = multiply(X2,X1),
inference(superposition,[status(thm)],[c_900,c_240]) ).
cnf(c_1012,plain,
double_divide(multiply(multiply(X0,X1),X2),X3) = double_divide(X2,multiply(X0,multiply(X3,X1))),
inference(light_normalisation,[status(thm)],[c_989,c_50]) ).
cnf(c_1221,plain,
multiply(X0,double_divide(X1,multiply(X0,X2))) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_683,c_1007]) ).
cnf(c_1226,plain,
double_divide(X0,multiply(double_divide(X0,X1),multiply(X2,X3))) = multiply(double_divide(X3,X2),X1),
inference(superposition,[status(thm)],[c_50,c_1007]) ).
cnf(c_1382,plain,
multiply(double_divide(multiply(X0,X1),X2),X2) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_240,c_1221]) ).
cnf(c_1399,plain,
double_divide(X0,multiply(double_divide(X1,X2),X3)) = multiply(X2,multiply(double_divide(X0,X3),X1)),
inference(superposition,[status(thm)],[c_1221,c_66]) ).
cnf(c_1628,plain,
double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_1382,c_131]) ).
cnf(c_1632,plain,
multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_1382,c_362]) ).
cnf(c_1633,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_1382,c_473]) ).
cnf(c_1803,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_1628,c_117]) ).
cnf(c_1809,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_1803]) ).
cnf(c_2266,plain,
multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(demodulation,[status(thm)],[c_352,c_1012,c_1226,c_1399,c_1632,c_1803]) ).
cnf(c_2272,plain,
multiply(X0,multiply(multiply(X1,X2),double_divide(X2,X1))) = X0,
inference(superposition,[status(thm)],[c_50,c_2266]) ).
cnf(c_2460,plain,
multiply(X0,multiply(X1,multiply(X2,double_divide(X2,X1)))) = X0,
inference(demodulation,[status(thm)],[c_2272,c_1803]) ).
cnf(c_2473,plain,
double_divide(double_divide(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[c_2460,c_121]) ).
cnf(c_2659,plain,
double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_1628,c_2473]) ).
cnf(c_2808,plain,
double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_2659,c_1628]) ).
cnf(c_2995,plain,
inverse(double_divide(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2808,c_50]) ).
cnf(c_3154,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(demodulation,[status(thm)],[c_1809,c_1803]) ).
cnf(c_3531,plain,
double_divide(X0,double_divide(X0,X1)) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_1632,c_1633]) ).
cnf(c_3536,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3531,c_1628]) ).
cnf(c_3608,plain,
multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_3536,c_2266]) ).
cnf(c_4418,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_2995,c_50]) ).
cnf(c_4421,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3154,c_4418]) ).
cnf(c_4855,plain,
multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[status(thm)],[c_3608,c_4418]) ).
cnf(c_5173,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_4855,c_1803]) ).
cnf(c_5180,plain,
multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_3608,c_5173]) ).
cnf(c_5186,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_3536,c_5173]) ).
cnf(c_5342,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| a2 != a2 ),
inference(demodulation,[status(thm)],[c_4421,c_4418,c_5186]) ).
cnf(c_5343,plain,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(equality_resolution_simp,[status(thm)],[c_5342]) ).
cnf(c_6555,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_5343,c_5180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP108-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 20:51:29 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.47/1.18 % SZS status Started for theBenchmark.p
% 0.47/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.18
% 0.47/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.47/1.18
% 0.47/1.18 ------ iProver source info
% 0.47/1.18
% 0.47/1.18 git: date: 2023-05-31 18:12:56 +0000
% 0.47/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.47/1.18 git: non_committed_changes: false
% 0.47/1.18 git: last_make_outside_of_git: false
% 0.47/1.18
% 0.47/1.18 ------ Parsing...successful
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.47/1.18
% 0.47/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.18
% 0.47/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.47/1.18 ------ Proving...
% 0.47/1.18 ------ Problem Properties
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 clauses 3
% 0.47/1.18 conjectures 1
% 0.47/1.18 EPR 0
% 0.47/1.18 Horn 3
% 0.47/1.18 unary 2
% 0.47/1.18 binary 0
% 0.47/1.18 lits 6
% 0.47/1.18 lits eq 6
% 0.47/1.18 fd_pure 0
% 0.47/1.18 fd_pseudo 0
% 0.47/1.18 fd_cond 0
% 0.47/1.18 fd_pseudo_cond 0
% 0.47/1.18 AC symbols 0
% 0.47/1.18
% 0.47/1.18 ------ Schedule dynamic 5 is on
% 0.47/1.18
% 0.47/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 ------
% 0.47/1.18 Current options:
% 0.47/1.18 ------
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 ------ Proving...
% 0.47/1.18
% 0.47/1.18
% 0.47/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.18
% 0.47/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.18
% 0.47/1.18
%------------------------------------------------------------------------------