TSTP Solution File: FLD072-2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD072-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 : Wed Aug 30 22:33:26 EDT 2023
% Result : Satisfiable 271.68s 36.36s
% Output : Saturation 271.68s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_50,plain,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(c_51,plain,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
cnf(c_52,negated_conjecture,
less_or_equal(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).
cnf(c_53,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_5) ).
cnf(c_54,negated_conjecture,
equalish(multiply(a,b),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_u_6) ).
cnf(c_55,negated_conjecture,
~ less_or_equal(u,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_7) ).
cnf(c_56,plain,
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',associativity_addition) ).
cnf(c_57,plain,
( ~ defined(X0)
| equalish(add(additive_identity,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_addition) ).
cnf(c_58,plain,
( ~ defined(X0)
| equalish(add(X0,additive_inverse(X0)),additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_addition) ).
cnf(c_59,plain,
( ~ defined(X0)
| ~ defined(X1)
| equalish(add(X0,X1),add(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',commutativity_addition) ).
cnf(c_60,plain,
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(X0,multiply(X1,X2)),multiply(multiply(X0,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',associativity_multiplication) ).
cnf(c_61,plain,
( ~ defined(X0)
| equalish(multiply(multiplicative_identity,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_multiplication) ).
cnf(c_62,plain,
( ~ defined(X0)
| equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_multiplication) ).
cnf(c_63,plain,
( ~ defined(X0)
| ~ defined(X1)
| equalish(multiply(X0,X1),multiply(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',commutativity_multiplication) ).
cnf(c_64,plain,
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(add(multiply(X0,X2),multiply(X1,X2)),multiply(add(X0,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',distributivity) ).
cnf(c_65,plain,
( ~ defined(X0)
| ~ defined(X1)
| defined(add(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_addition) ).
cnf(c_66,plain,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_identity) ).
cnf(c_67,plain,
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_inverse) ).
cnf(c_68,plain,
( ~ defined(X0)
| ~ defined(X1)
| defined(multiply(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplication) ).
cnf(c_69,plain,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(c_70,plain,
( ~ defined(X0)
| defined(multiplicative_inverse(X0))
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse) ).
cnf(c_71,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',antisymmetry_of_order_relation) ).
cnf(c_72,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X2)
| less_or_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_order_relation) ).
cnf(c_73,plain,
( ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X0,X1)
| less_or_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',totality_of_order_relation) ).
cnf(c_74,plain,
( ~ less_or_equal(X0,X1)
| ~ defined(X2)
| less_or_equal(add(X0,X2),add(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(c_75,plain,
( ~ less_or_equal(additive_identity,X0)
| ~ less_or_equal(additive_identity,X1)
| less_or_equal(additive_identity,multiply(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_multiplication) ).
cnf(c_76,plain,
( ~ defined(X0)
| equalish(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',reflexivity_of_equality) ).
cnf(c_77,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
cnf(c_78,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
cnf(c_79,plain,
( ~ equalish(X0,X1)
| ~ defined(X2)
| equalish(add(X0,X2),add(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_addition) ).
cnf(c_80,plain,
( ~ equalish(X0,X1)
| ~ defined(X2)
| equalish(multiply(X0,X2),multiply(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication) ).
cnf(c_81,plain,
( ~ less_or_equal(X0,X1)
| ~ equalish(X0,X2)
| less_or_equal(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_order_relation) ).
cnf(c_82,plain,
~ equalish(additive_identity,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',different_identities) ).
cnf(c_279779,plain,
( ~ equalish(a,X0)
| less_or_equal(X0,additive_identity) ),
inference(superposition,[status(thm)],[c_52,c_81]) ).
cnf(c_279780,plain,
( ~ equalish(additive_identity,X0)
| less_or_equal(X0,b) ),
inference(superposition,[status(thm)],[c_53,c_81]) ).
cnf(c_394108,plain,
( ~ equalish(multiplicative_identity,X0)
| ~ defined(X1)
| equalish(multiply(X1,multiplicative_inverse(X1)),X0)
| equalish(X1,additive_identity) ),
inference(superposition,[status(thm)],[c_62,c_78]) ).
cnf(c_394109,plain,
( ~ defined(X0)
| equalish(multiplicative_identity,multiply(X0,multiplicative_inverse(X0)))
| equalish(X0,additive_identity) ),
inference(superposition,[status(thm)],[c_62,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD072-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n017.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 : Sun Aug 27 23:53:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 271.68/36.36 % SZS status Started for theBenchmark.p
% 271.68/36.36 % SZS status Satisfiable for theBenchmark.p
% 271.68/36.36
% 271.68/36.36 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 271.68/36.36
% 271.68/36.36 ------ iProver source info
% 271.68/36.36
% 271.68/36.36 git: date: 2023-05-31 18:12:56 +0000
% 271.68/36.36 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 271.68/36.36 git: non_committed_changes: false
% 271.68/36.36 git: last_make_outside_of_git: false
% 271.68/36.36
% 271.68/36.36 ------ Parsing...successful
% 271.68/36.36
% 271.68/36.36
% 271.68/36.36
% 271.68/36.36 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 271.68/36.36
% 271.68/36.36 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 271.68/36.36 ------ Proving...
% 271.68/36.36 ------ Problem Properties
% 271.68/36.36
% 271.68/36.36
% 271.68/36.36 clauses 34
% 271.68/36.36 conjectures 4
% 271.68/36.36 EPR 16
% 271.68/36.36 Horn 31
% 271.68/36.36 unary 10
% 271.68/36.36 binary 6
% 271.68/36.36 lits 80
% 271.68/36.36 lits eq 0
% 271.68/36.36 fd_pure 0
% 271.68/36.36 fd_pseudo 0
% 271.68/36.36 fd_cond 0
% 271.68/36.36 fd_pseudo_cond 0
% 271.68/36.36 AC symbols 0
% 271.68/36.36
% 271.68/36.36 ------ Input Options Time Limit: Unbounded
% 271.68/36.36
% 271.68/36.36
% 271.68/36.36 ------
% 271.68/36.36 Current options:
% 271.68/36.36 ------
% 271.68/36.36
% 271.68/36.36
% 271.68/36.36
% 271.68/36.36
% 271.68/36.36 ------ Proving...
% 271.68/36.36
% 271.68/36.36
% 271.68/36.36 % SZS status Satisfiable for theBenchmark.p
% 271.68/36.36
% 271.68/36.36 % SZS output start Saturation for theBenchmark.p
% See solution above
% 271.68/36.36
% 271.68/36.36
%------------------------------------------------------------------------------