TSTP Solution File: BOO016-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : BOO016-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 : Fri May 3 02:08:38 EDT 2024
% Result : Unsatisfiable 4.04s 1.15s
% Output : CNFRefutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of clauses : 46 ( 38 unt; 0 nHn; 14 RR)
% Number of literals : 72 ( 46 equ; 28 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 97 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
product(x,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_times_y) ).
cnf(c_50,negated_conjecture,
~ sum(x,z,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum) ).
cnf(c_54,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',commutativity_of_multiplication) ).
cnf(c_55,plain,
sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
cnf(c_56,plain,
sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity2) ).
cnf(c_57,plain,
product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_identity1) ).
cnf(c_58,plain,
product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_identity2) ).
cnf(c_60,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ sum(X2,X4,X6)
| product(X0,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity2) ).
cnf(c_62,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ sum(X2,X4,X6)
| product(X5,X1,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity4) ).
cnf(c_66,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X5)
| ~ sum(X0,X6,X3)
| ~ sum(X1,X6,X4)
| sum(X2,X6,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity8) ).
cnf(c_68,plain,
sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_inverse2) ).
cnf(c_70,plain,
product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse2) ).
cnf(c_84,plain,
multiply(x,y) = z,
inference(well_definedness,[status(thm)],[c_49]) ).
cnf(c_85,plain,
add(x,z) != x,
inference(well_definedness,[status(thm)],[c_50]) ).
cnf(c_90,plain,
( multiply(X0,X1) != X2
| multiply(X1,X0) = X2 ),
inference(well_definedness,[status(thm)],[c_54]) ).
cnf(c_92,plain,
add(additive_identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_55]) ).
cnf(c_93,plain,
add(X0,additive_identity) = X0,
inference(well_definedness,[status(thm)],[c_56]) ).
cnf(c_94,plain,
multiply(multiplicative_identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_57]) ).
cnf(c_95,plain,
multiply(X0,multiplicative_identity) = X0,
inference(well_definedness,[status(thm)],[c_58]) ).
cnf(c_98,plain,
( add(X0,X1) != X2
| add(X3,X4) != X5
| multiply(X6,X0) != X3
| multiply(X6,X1) != X4
| multiply(X6,X2) = X5 ),
inference(well_definedness,[status(thm)],[c_60]) ).
cnf(c_102,plain,
( add(X0,X1) != X2
| add(X3,X4) != X5
| multiply(X0,X6) != X3
| multiply(X1,X6) != X4
| multiply(X2,X6) = X5 ),
inference(well_definedness,[status(thm)],[c_62]) ).
cnf(c_110,plain,
( add(X0,X1) != X2
| add(X3,X1) != X4
| multiply(X0,X3) != X5
| multiply(X2,X4) != X6
| add(X5,X1) = X6 ),
inference(well_definedness,[status(thm)],[c_66]) ).
cnf(c_113,plain,
add(X0,inverse(X0)) = multiplicative_identity,
inference(well_definedness,[status(thm)],[c_68]) ).
cnf(c_115,plain,
multiply(X0,inverse(X0)) = additive_identity,
inference(well_definedness,[status(thm)],[c_70]) ).
cnf(c_255,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(unflattening,[status(thm)],[c_90]) ).
cnf(c_261,plain,
multiply(add(X0,X1),add(X2,X1)) = add(multiply(X0,X2),X1),
inference(unflattening,[status(thm)],[c_110]) ).
cnf(c_265,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
inference(unflattening,[status(thm)],[c_102]) ).
cnf(c_267,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_98]) ).
cnf(c_384,plain,
add(add(multiply(X0,X1),multiply(X0,X2)),add(multiply(X2,X1),multiply(X2,X2))) = add(multiply(X0,X1),X2),
inference(demodulation,[status(thm)],[c_261,c_265,c_267]) ).
cnf(c_667,plain,
add(multiply(X0,X1),multiply(X0,inverse(X1))) = multiply(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_113,c_267]) ).
cnf(c_702,plain,
add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
inference(light_normalisation,[status(thm)],[c_667,c_95]) ).
cnf(c_723,plain,
add(multiply(X0,X1),multiply(X1,inverse(X0))) = X1,
inference(superposition,[status(thm)],[c_255,c_702]) ).
cnf(c_728,plain,
add(additive_identity,multiply(X0,inverse(inverse(X0)))) = X0,
inference(superposition,[status(thm)],[c_115,c_702]) ).
cnf(c_743,plain,
add(add(multiply(X0,X1),multiply(X0,inverse(X1))),inverse(X1)) = add(multiply(X0,X1),inverse(X1)),
inference(superposition,[status(thm)],[c_702,c_384]) ).
cnf(c_753,plain,
add(multiply(X0,X1),inverse(X1)) = add(X0,inverse(X1)),
inference(light_normalisation,[status(thm)],[c_743,c_702]) ).
cnf(c_811,plain,
multiply(X0,inverse(inverse(X0))) = X0,
inference(demodulation,[status(thm)],[c_728,c_92]) ).
cnf(c_864,plain,
add(multiply(X0,X1),multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_255,c_723]) ).
cnf(c_936,plain,
add(multiply(X0,inverse(inverse(X0))),additive_identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_115,c_864]) ).
cnf(c_948,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_936,c_93,c_811]) ).
cnf(c_1140,plain,
add(X0,inverse(X0)) = add(multiplicative_identity,inverse(X0)),
inference(superposition,[status(thm)],[c_94,c_753]) ).
cnf(c_1155,plain,
add(multiplicative_identity,inverse(X0)) = multiplicative_identity,
inference(light_normalisation,[status(thm)],[c_1140,c_113]) ).
cnf(c_1160,plain,
add(multiplicative_identity,X0) = multiplicative_identity,
inference(superposition,[status(thm)],[c_948,c_1155]) ).
cnf(c_1195,plain,
add(multiply(X0,multiplicative_identity),multiply(X0,X1)) = multiply(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_1160,c_267]) ).
cnf(c_1198,plain,
add(X0,multiply(X0,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_1195,c_95]) ).
cnf(c_1235,plain,
add(x,z) = x,
inference(superposition,[status(thm)],[c_84,c_1198]) ).
cnf(c_1248,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1235,c_85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : BOO016-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 22:00:48 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.04/1.15 % SZS status Started for theBenchmark.p
% 4.04/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 4.04/1.15
% 4.04/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.04/1.15
% 4.04/1.15 ------ iProver source info
% 4.04/1.15
% 4.04/1.15 git: date: 2024-05-02 19:28:25 +0000
% 4.04/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.04/1.15 git: non_committed_changes: false
% 4.04/1.15
% 4.04/1.15 ------ Parsing...successful
% 4.04/1.15
% 4.04/1.15
% 4.04/1.15
% 4.04/1.15 ------ Preprocessing... sup_sim: 18 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.04/1.15
% 4.04/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.04/1.15
% 4.04/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.04/1.15 ------ Proving...
% 4.04/1.15 ------ Problem Properties
% 4.04/1.15
% 4.04/1.15
% 4.04/1.15 clauses 14
% 4.04/1.15 conjectures 0
% 4.04/1.15 EPR 0
% 4.04/1.15 Horn 14
% 4.04/1.15 unary 14
% 4.04/1.15 binary 0
% 4.04/1.15 lits 14
% 4.04/1.15 lits eq 14
% 4.04/1.15 fd_pure 0
% 4.04/1.15 fd_pseudo 0
% 4.04/1.15 fd_cond 0
% 4.04/1.15 fd_pseudo_cond 0
% 4.04/1.15 AC symbols 0
% 4.04/1.15
% 4.04/1.15 ------ Schedule UEQ
% 4.04/1.15
% 4.04/1.15 ------ Option_UEQ Time Limit: 10.
% 4.04/1.15
% 4.04/1.15
% 4.04/1.15 ------
% 4.04/1.15 Current options:
% 4.04/1.15 ------
% 4.04/1.15
% 4.04/1.15
% 4.04/1.15
% 4.04/1.15
% 4.04/1.15 ------ Proving...
% 4.04/1.15
% 4.04/1.15
% 4.04/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 4.04/1.15
% 4.04/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.04/1.15
% 4.04/1.15
%------------------------------------------------------------------------------