TSTP Solution File: BOO006-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : BOO006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 02:08:31 EDT 2024
% Result : Unsatisfiable 3.76s 1.05s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 35 ( 29 unt; 0 nHn; 10 RR)
% Number of literals : 53 ( 34 equ; 21 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 69 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ product(x,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equations) ).
cnf(c_53,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',commutativity_of_multiplication) ).
cnf(c_54,plain,
sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
cnf(c_55,plain,
sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity2) ).
cnf(c_57,plain,
product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_identity2) ).
cnf(c_59,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ sum(X2,X4,X6)
| product(X0,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity2) ).
cnf(c_61,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ sum(X2,X4,X6)
| product(X5,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity4) ).
cnf(c_67,plain,
sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_inverse2) ).
cnf(c_69,plain,
product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse2) ).
cnf(c_83,plain,
multiply(x,additive_identity) != additive_identity,
inference(well_definedness,[status(thm)],[c_49]) ).
cnf(c_88,plain,
( multiply(X0,X1) != X2
| multiply(X1,X0) = X2 ),
inference(well_definedness,[status(thm)],[c_53]) ).
cnf(c_90,plain,
add(additive_identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_54]) ).
cnf(c_91,plain,
add(X0,additive_identity) = X0,
inference(well_definedness,[status(thm)],[c_55]) ).
cnf(c_93,plain,
multiply(X0,multiplicative_identity) = X0,
inference(well_definedness,[status(thm)],[c_57]) ).
cnf(c_96,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_59]) ).
cnf(c_100,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_61]) ).
cnf(c_111,plain,
add(X0,inverse(X0)) = multiplicative_identity,
inference(well_definedness,[status(thm)],[c_67]) ).
cnf(c_113,plain,
multiply(X0,inverse(X0)) = additive_identity,
inference(well_definedness,[status(thm)],[c_69]) ).
cnf(c_251,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(unflattening,[status(thm)],[c_88]) ).
cnf(c_252,plain,
multiply(additive_identity,x) != additive_identity,
inference(demodulation,[status(thm)],[c_83,c_251]) ).
cnf(c_262,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
inference(unflattening,[status(thm)],[c_100]) ).
cnf(c_264,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(unflattening,[status(thm)],[c_96]) ).
cnf(c_611,plain,
add(multiply(additive_identity,X0),multiply(X1,X0)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_90,c_262]) ).
cnf(c_662,plain,
add(multiply(X0,X1),multiply(X0,inverse(X1))) = multiply(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_111,c_264]) ).
cnf(c_697,plain,
add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
inference(light_normalisation,[status(thm)],[c_662,c_93]) ).
cnf(c_716,plain,
add(multiply(X0,X1),multiply(X1,inverse(X0))) = X1,
inference(superposition,[status(thm)],[c_251,c_697]) ).
cnf(c_722,plain,
add(additive_identity,multiply(X0,inverse(inverse(X0)))) = X0,
inference(superposition,[status(thm)],[c_113,c_697]) ).
cnf(c_790,plain,
multiply(X0,inverse(inverse(X0))) = X0,
inference(demodulation,[status(thm)],[c_722,c_90]) ).
cnf(c_883,plain,
add(multiply(X0,X1),multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_251,c_716]) ).
cnf(c_945,plain,
add(multiply(X0,inverse(inverse(X0))),additive_identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_113,c_883]) ).
cnf(c_957,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_945,c_91,c_790]) ).
cnf(c_1005,plain,
add(multiply(additive_identity,inverse(X0)),additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_113,c_611]) ).
cnf(c_1022,plain,
multiply(additive_identity,inverse(X0)) = additive_identity,
inference(demodulation,[status(thm)],[c_1005,c_91]) ).
cnf(c_1025,plain,
multiply(additive_identity,X0) = additive_identity,
inference(superposition,[status(thm)],[c_957,c_1022]) ).
cnf(c_1035,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_252,c_1025]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : BOO006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.09 % Command : run_iprover %s %d THM
% 0.08/0.29 % Computer : n020.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Thu May 2 21:36:46 EDT 2024
% 0.13/0.29 % CPUTime :
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.76/1.05 % SZS status Started for theBenchmark.p
% 3.76/1.05 % SZS status Unsatisfiable for theBenchmark.p
% 3.76/1.05
% 3.76/1.05 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.76/1.05
% 3.76/1.05 ------ iProver source info
% 3.76/1.05
% 3.76/1.05 git: date: 2024-05-02 19:28:25 +0000
% 3.76/1.05 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.76/1.05 git: non_committed_changes: false
% 3.76/1.05
% 3.76/1.05 ------ Parsing...successful
% 3.76/1.05
% 3.76/1.05
% 3.76/1.05
% 3.76/1.05 ------ Preprocessing... sup_sim: 19 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
% 3.76/1.05
% 3.76/1.05 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.76/1.05
% 3.76/1.05 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.76/1.05 ------ Proving...
% 3.76/1.05 ------ Problem Properties
% 3.76/1.05
% 3.76/1.05
% 3.76/1.05 clauses 13
% 3.76/1.05 conjectures 0
% 3.76/1.05 EPR 0
% 3.76/1.05 Horn 13
% 3.76/1.05 unary 13
% 3.76/1.05 binary 0
% 3.76/1.05 lits 13
% 3.76/1.05 lits eq 13
% 3.76/1.05 fd_pure 0
% 3.76/1.05 fd_pseudo 0
% 3.76/1.05 fd_cond 0
% 3.76/1.05 fd_pseudo_cond 0
% 3.76/1.05 AC symbols 0
% 3.76/1.05
% 3.76/1.05 ------ Schedule UEQ
% 3.76/1.05
% 3.76/1.05 ------ Option_UEQ Time Limit: 10.
% 3.76/1.05
% 3.76/1.05
% 3.76/1.05 ------
% 3.76/1.05 Current options:
% 3.76/1.05 ------
% 3.76/1.05
% 3.76/1.05
% 3.76/1.05
% 3.76/1.05
% 3.76/1.05 ------ Proving...
% 3.76/1.05
% 3.76/1.05
% 3.76/1.05 % SZS status Unsatisfiable for theBenchmark.p
% 3.76/1.05
% 3.76/1.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.76/1.05
% 3.76/1.05
%------------------------------------------------------------------------------