TSTP Solution File: FLD028-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : FLD028-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 02:15:14 EDT 2024

% Result   : Unsatisfiable 168.58s 23.23s
% Output   : CNFRefutation 168.58s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

cnf(c_51,plain,
    defined(u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).

cnf(c_52,plain,
    defined(v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_is_defined) ).

cnf(c_53,negated_conjecture,
    ~ equalish(a,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_5) ).

cnf(c_54,negated_conjecture,
    equalish(multiply(a,u),b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_b_6) ).

cnf(c_55,negated_conjecture,
    equalish(multiply(a,v),b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_b_7) ).

cnf(c_56,negated_conjecture,
    ~ equalish(u,v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_equal_to_v_8) ).

cnf(c_61,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_62,plain,
    ( ~ defined(X0)
    | equalish(multiply(multiplicative_identity,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_multiplication) ).

cnf(c_63,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_64,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_69,plain,
    ( ~ defined(X0)
    | ~ defined(X1)
    | defined(multiply(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplication) ).

cnf(c_71,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_78,plain,
    ( ~ equalish(X0,X1)
    | equalish(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).

cnf(c_79,plain,
    ( ~ equalish(X0,X1)
    | ~ equalish(X1,X2)
    | equalish(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).

cnf(c_81,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_264,plain,
    multiply(a,v) = sP0_iProver_def,
    definition ).

cnf(c_265,plain,
    multiply(a,u) = sP1_iProver_def,
    definition ).

cnf(c_267,negated_conjecture,
    equalish(sP0_iProver_def,b),
    inference(demodulation,[status(thm)],[c_55,c_264]) ).

cnf(c_268,negated_conjecture,
    equalish(sP1_iProver_def,b),
    inference(demodulation,[status(thm)],[c_54,c_265]) ).

cnf(c_269,negated_conjecture,
    ~ equalish(a,additive_identity),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_270,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_273,plain,
    ( X0 != X1
    | ~ defined(X1)
    | defined(X0) ),
    theory(equality) ).

cnf(c_274,plain,
    ( X0 != X1
    | X2 != X3
    | ~ equalish(X1,X3)
    | equalish(X0,X2) ),
    theory(equality) ).

cnf(c_711,plain,
    equalish(b,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_267,c_78]) ).

cnf(c_755,plain,
    ( ~ defined(a)
    | defined(multiplicative_inverse(a)) ),
    inference(superposition,[status(thm)],[c_71,c_269]) ).

cnf(c_757,plain,
    defined(multiplicative_inverse(a)),
    inference(forward_subsumption_resolution,[status(thm)],[c_755,c_49]) ).

cnf(c_788,plain,
    ( ~ defined(a)
    | ~ defined(v)
    | defined(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_264,c_69]) ).

cnf(c_789,plain,
    defined(sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_788,c_52,c_49]) ).

cnf(c_829,plain,
    ( ~ equalish(b,X0)
    | equalish(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_267,c_79]) ).

cnf(c_890,plain,
    equalish(sP0_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_711,c_829]) ).

cnf(c_945,plain,
    ( ~ defined(a)
    | equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
    | equalish(a,additive_identity) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_1030,plain,
    ( ~ equalish(X0,v)
    | ~ equalish(u,X0)
    | equalish(u,v) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_1255,plain,
    ( ~ defined(v)
    | equalish(multiply(multiplicative_identity,v),v) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_1262,plain,
    ( ~ equalish(X0,X1)
    | ~ equalish(X1,v)
    | equalish(X0,v) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_1481,plain,
    ( ~ equalish(X0,X1)
    | ~ equalish(X1,multiplicative_identity)
    | equalish(X0,multiplicative_identity) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_2021,plain,
    ( ~ defined(u)
    | equalish(multiply(multiplicative_identity,u),u) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_2487,plain,
    ( ~ equalish(X0,multiply(multiplicative_identity,v))
    | ~ equalish(multiply(multiplicative_identity,v),v)
    | equalish(X0,v) ),
    inference(instantiation,[status(thm)],[c_1262]) ).

cnf(c_3030,plain,
    ( ~ equalish(X0,multiply(a,multiplicative_inverse(a)))
    | ~ equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
    | equalish(X0,multiplicative_identity) ),
    inference(instantiation,[status(thm)],[c_1481]) ).

cnf(c_3108,plain,
    ( ~ equalish(multiply(multiplicative_inverse(a),a),multiply(a,multiplicative_inverse(a)))
    | ~ equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
    | equalish(multiply(multiplicative_inverse(a),a),multiplicative_identity) ),
    inference(instantiation,[status(thm)],[c_3030]) ).

cnf(c_3109,plain,
    ( ~ defined(multiplicative_inverse(a))
    | ~ defined(a)
    | equalish(multiply(multiplicative_inverse(a),a),multiply(a,multiplicative_inverse(a))) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_4205,plain,
    ( ~ equalish(X0,multiplicative_identity)
    | ~ defined(v)
    | equalish(multiply(X0,v),multiply(multiplicative_identity,v)) ),
    inference(instantiation,[status(thm)],[c_81]) ).

cnf(c_8961,plain,
    ( ~ defined(multiplicative_inverse(a))
    | ~ defined(a)
    | defined(multiply(a,multiplicative_inverse(a))) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_15020,plain,
    ( ~ equalish(multiply(multiplicative_inverse(a),a),multiplicative_identity)
    | ~ defined(v)
    | equalish(multiply(multiply(multiplicative_inverse(a),a),v),multiply(multiplicative_identity,v)) ),
    inference(instantiation,[status(thm)],[c_4205]) ).

cnf(c_21702,plain,
    equalish(b,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_268,c_78]) ).

cnf(c_21827,plain,
    ( ~ equalish(b,X0)
    | equalish(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_267,c_79]) ).

cnf(c_21890,plain,
    equalish(sP0_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_21702,c_21827]) ).

cnf(c_22021,plain,
    ( ~ defined(X0)
    | ~ defined(X1)
    | equalish(multiply(X1,X0),multiply(X0,X1)) ),
    inference(superposition,[status(thm)],[c_64,c_78]) ).

cnf(c_22063,plain,
    ( ~ equalish(sP1_iProver_def,X0)
    | equalish(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_21890,c_79]) ).

cnf(c_77335,plain,
    ( ~ equalish(multiply(multiply(multiplicative_inverse(a),a),v),multiply(multiplicative_identity,v))
    | ~ equalish(multiply(multiplicative_identity,v),v)
    | equalish(multiply(multiply(multiplicative_inverse(a),a),v),v) ),
    inference(instantiation,[status(thm)],[c_2487]) ).

cnf(c_123469,plain,
    ( ~ equalish(X0,u)
    | equalish(u,X0) ),
    inference(instantiation,[status(thm)],[c_78]) ).

cnf(c_123471,plain,
    ( ~ equalish(X0,X1)
    | ~ equalish(u,X0)
    | equalish(u,X1) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_123539,plain,
    ( ~ equalish(X0,X1)
    | ~ equalish(X1,u)
    | equalish(X0,u) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_123962,plain,
    ( ~ equalish(X0,multiply(multiplicative_identity,u))
    | ~ equalish(multiply(multiplicative_identity,u),u)
    | equalish(X0,u) ),
    inference(instantiation,[status(thm)],[c_123539]) ).

cnf(c_124727,plain,
    ( ~ equalish(X0,multiplicative_identity)
    | ~ defined(u)
    | equalish(multiply(X0,u),multiply(multiplicative_identity,u)) ),
    inference(instantiation,[status(thm)],[c_81]) ).

cnf(c_125259,plain,
    ( ~ equalish(X0,X1)
    | ~ equalish(X1,v)
    | equalish(X0,v) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_128803,plain,
    ( ~ equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
    | ~ defined(u)
    | equalish(multiply(multiply(a,multiplicative_inverse(a)),u),multiply(multiplicative_identity,u)) ),
    inference(instantiation,[status(thm)],[c_124727]) ).

cnf(c_129801,plain,
    ( ~ equalish(multiply(multiply(a,multiplicative_inverse(a)),u),multiply(multiplicative_identity,u))
    | ~ equalish(multiply(multiplicative_identity,u),u)
    | equalish(multiply(multiply(a,multiplicative_inverse(a)),u),u) ),
    inference(instantiation,[status(thm)],[c_123962]) ).

cnf(c_134466,plain,
    ( ~ equalish(multiply(multiply(a,multiplicative_inverse(a)),u),u)
    | equalish(u,multiply(multiply(a,multiplicative_inverse(a)),u)) ),
    inference(instantiation,[status(thm)],[c_123469]) ).

cnf(c_135413,plain,
    ( ~ equalish(multiply(multiply(a,multiplicative_inverse(a)),u),X0)
    | ~ equalish(u,multiply(multiply(a,multiplicative_inverse(a)),u))
    | equalish(u,X0) ),
    inference(instantiation,[status(thm)],[c_123471]) ).

cnf(c_141254,plain,
    ( ~ defined(a)
    | ~ defined(u)
    | equalish(sP1_iProver_def,multiply(u,a)) ),
    inference(superposition,[status(thm)],[c_265,c_22021]) ).

cnf(c_141255,plain,
    ( ~ defined(a)
    | ~ defined(v)
    | equalish(sP0_iProver_def,multiply(v,a)) ),
    inference(superposition,[status(thm)],[c_264,c_22021]) ).

cnf(c_141285,plain,
    equalish(sP0_iProver_def,multiply(v,a)),
    inference(forward_subsumption_resolution,[status(thm)],[c_141255,c_52,c_49]) ).

cnf(c_141286,plain,
    equalish(sP1_iProver_def,multiply(u,a)),
    inference(forward_subsumption_resolution,[status(thm)],[c_141254,c_51,c_49]) ).

cnf(c_142823,plain,
    ( ~ equalish(multiply(v,a),X0)
    | equalish(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_141285,c_79]) ).

cnf(c_143278,plain,
    equalish(sP0_iProver_def,multiply(u,a)),
    inference(superposition,[status(thm)],[c_141286,c_22063]) ).

cnf(c_146854,plain,
    equalish(multiply(u,a),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_143278,c_78]) ).

cnf(c_147717,plain,
    ( ~ equalish(multiply(multiply(a,multiplicative_inverse(a)),u),multiply(u,multiply(a,multiplicative_inverse(a))))
    | ~ equalish(u,multiply(multiply(a,multiplicative_inverse(a)),u))
    | equalish(u,multiply(u,multiply(a,multiplicative_inverse(a)))) ),
    inference(instantiation,[status(thm)],[c_135413]) ).

cnf(c_147718,plain,
    ( ~ defined(multiply(a,multiplicative_inverse(a)))
    | ~ defined(u)
    | equalish(multiply(multiply(a,multiplicative_inverse(a)),u),multiply(u,multiply(a,multiplicative_inverse(a)))) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_149136,plain,
    ( ~ equalish(sP0_iProver_def,X0)
    | equalish(multiply(u,a),X0) ),
    inference(superposition,[status(thm)],[c_146854,c_79]) ).

cnf(c_179849,plain,
    ( ~ equalish(multiply(u,multiply(a,multiplicative_inverse(a))),X0)
    | ~ equalish(u,multiply(u,multiply(a,multiplicative_inverse(a))))
    | equalish(u,X0) ),
    inference(instantiation,[status(thm)],[c_123471]) ).

cnf(c_191709,plain,
    ( ~ equalish(X0,multiply(multiply(multiplicative_inverse(a),a),v))
    | ~ equalish(multiply(multiply(multiplicative_inverse(a),a),v),v)
    | equalish(X0,v) ),
    inference(instantiation,[status(thm)],[c_125259]) ).

cnf(c_200370,plain,
    ( ~ equalish(multiply(u,multiply(a,multiplicative_inverse(a))),multiply(multiply(u,a),multiplicative_inverse(a)))
    | ~ equalish(u,multiply(u,multiply(a,multiplicative_inverse(a))))
    | equalish(u,multiply(multiply(u,a),multiplicative_inverse(a))) ),
    inference(instantiation,[status(thm)],[c_179849]) ).

cnf(c_200371,plain,
    ( ~ defined(multiplicative_inverse(a))
    | ~ defined(a)
    | ~ defined(u)
    | equalish(multiply(u,multiply(a,multiplicative_inverse(a))),multiply(multiply(u,a),multiplicative_inverse(a))) ),
    inference(instantiation,[status(thm)],[c_61]) ).

cnf(c_211064,plain,
    ( ~ equalish(multiply(multiplicative_inverse(a),multiply(a,v)),multiply(multiply(multiplicative_inverse(a),a),v))
    | ~ equalish(multiply(multiply(multiplicative_inverse(a),a),v),v)
    | equalish(multiply(multiplicative_inverse(a),multiply(a,v)),v) ),
    inference(instantiation,[status(thm)],[c_191709]) ).

cnf(c_211065,plain,
    ( ~ defined(multiplicative_inverse(a))
    | ~ defined(a)
    | ~ defined(v)
    | equalish(multiply(multiplicative_inverse(a),multiply(a,v)),multiply(multiply(multiplicative_inverse(a),a),v)) ),
    inference(instantiation,[status(thm)],[c_61]) ).

cnf(c_242615,plain,
    ( ~ equalish(multiply(multiply(u,a),multiplicative_inverse(a)),X0)
    | ~ equalish(u,multiply(multiply(u,a),multiplicative_inverse(a)))
    | equalish(u,X0) ),
    inference(instantiation,[status(thm)],[c_123471]) ).

cnf(c_245678,plain,
    ( ~ equalish(multiply(multiply(u,a),multiplicative_inverse(a)),multiply(X0,multiplicative_inverse(a)))
    | ~ equalish(u,multiply(multiply(u,a),multiplicative_inverse(a)))
    | equalish(u,multiply(X0,multiplicative_inverse(a))) ),
    inference(instantiation,[status(thm)],[c_242615]) ).

cnf(c_245679,plain,
    ( ~ equalish(multiply(u,a),X0)
    | ~ defined(multiplicative_inverse(a))
    | equalish(multiply(multiply(u,a),multiplicative_inverse(a)),multiply(X0,multiplicative_inverse(a))) ),
    inference(instantiation,[status(thm)],[c_81]) ).

cnf(c_302413,plain,
    ( ~ defined(sP0_iProver_def)
    | defined(multiply(a,v)) ),
    inference(resolution,[status(thm)],[c_273,c_264]) ).

cnf(c_305835,plain,
    ( ~ equalish(multiply(X0,X1),X2)
    | ~ defined(X0)
    | ~ defined(X1)
    | equalish(multiply(X1,X0),X2) ),
    inference(resolution,[status(thm)],[c_64,c_79]) ).

cnf(c_316084,plain,
    ( X0 != X1
    | ~ equalish(sP0_iProver_def,X1)
    | equalish(multiply(a,v),X0) ),
    inference(resolution,[status(thm)],[c_274,c_264]) ).

cnf(c_334416,plain,
    ( ~ equalish(sP0_iProver_def,sP0_iProver_def)
    | equalish(multiply(a,v),multiply(a,v)) ),
    inference(resolution,[status(thm)],[c_316084,c_264]) ).

cnf(c_334418,plain,
    ( ~ equalish(sP0_iProver_def,X0)
    | equalish(multiply(a,v),X0) ),
    inference(resolution,[status(thm)],[c_316084,c_270]) ).

cnf(c_456765,plain,
    ( ~ equalish(sP0_iProver_def,X0)
    | equalish(X0,multiply(a,v)) ),
    inference(resolution,[status(thm)],[c_334418,c_78]) ).

cnf(c_465409,plain,
    equalish(multiply(a,v),multiply(a,v)),
    inference(global_subsumption_just,[status(thm)],[c_334416,c_890,c_334416]) ).

cnf(c_471704,plain,
    ( ~ defined(a)
    | ~ defined(v)
    | equalish(multiply(v,a),multiply(a,v)) ),
    inference(resolution,[status(thm)],[c_465409,c_305835]) ).

cnf(c_505734,plain,
    ( ~ equalish(X0,v)
    | ~ equalish(u,X0)
    | equalish(u,v) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_505789,plain,
    ( ~ equalish(u,X0)
    | ~ equalish(X0,v) ),
    inference(global_subsumption_just,[status(thm)],[c_505734,c_56,c_1030]) ).

cnf(c_505790,plain,
    ( ~ equalish(X0,v)
    | ~ equalish(u,X0) ),
    inference(renaming,[status(thm)],[c_505789]) ).

cnf(c_537963,plain,
    ( ~ equalish(multiply(X0,multiplicative_inverse(a)),v)
    | ~ equalish(u,multiply(X0,multiplicative_inverse(a))) ),
    inference(instantiation,[status(thm)],[c_505790]) ).

cnf(c_717631,plain,
    ( ~ equalish(X0,X1)
    | ~ equalish(X1,v)
    | equalish(X0,v) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_729868,plain,
    ( ~ equalish(X0,multiply(multiplicative_inverse(a),multiply(a,v)))
    | ~ equalish(multiply(multiplicative_inverse(a),multiply(a,v)),v)
    | equalish(X0,v) ),
    inference(instantiation,[status(thm)],[c_717631]) ).

cnf(c_734024,plain,
    ( ~ equalish(X0,multiply(multiplicative_inverse(a),multiply(a,v)))
    | equalish(X0,v) ),
    inference(global_subsumption_just,[status(thm)],[c_729868,c_52,c_49,c_53,c_757,c_945,c_1255,c_3108,c_3109,c_15020,c_77335,c_211064,c_211065,c_729868]) ).

cnf(c_734031,plain,
    ( ~ equalish(multiply(multiply(a,v),multiplicative_inverse(a)),multiply(multiplicative_inverse(a),multiply(a,v)))
    | equalish(multiply(multiply(a,v),multiplicative_inverse(a)),v) ),
    inference(instantiation,[status(thm)],[c_734024]) ).

cnf(c_734032,plain,
    ( ~ defined(multiply(a,v))
    | ~ defined(multiplicative_inverse(a))
    | equalish(multiply(multiply(a,v),multiplicative_inverse(a)),multiply(multiplicative_inverse(a),multiply(a,v))) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_738684,plain,
    ( ~ equalish(X0,multiply(multiply(a,v),multiplicative_inverse(a)))
    | ~ equalish(multiply(multiply(a,v),multiplicative_inverse(a)),v)
    | equalish(X0,v) ),
    inference(instantiation,[status(thm)],[c_717631]) ).

cnf(c_740938,plain,
    ( ~ equalish(X0,multiply(multiply(a,v),multiplicative_inverse(a)))
    | equalish(X0,v) ),
    inference(global_subsumption_just,[status(thm)],[c_738684,c_757,c_789,c_302413,c_734031,c_734032,c_738684]) ).

cnf(c_740958,plain,
    ( ~ equalish(multiply(X0,multiplicative_inverse(a)),multiply(multiply(a,v),multiplicative_inverse(a)))
    | equalish(multiply(X0,multiplicative_inverse(a)),v) ),
    inference(instantiation,[status(thm)],[c_740938]) ).

cnf(c_740959,plain,
    ( ~ equalish(X0,multiply(a,v))
    | ~ defined(multiplicative_inverse(a))
    | equalish(multiply(X0,multiplicative_inverse(a)),multiply(multiply(a,v),multiplicative_inverse(a))) ),
    inference(instantiation,[status(thm)],[c_81]) ).

cnf(c_745584,plain,
    ( ~ equalish(multiply(v,a),X0)
    | ~ equalish(X0,v)
    | equalish(multiply(v,a),v) ),
    inference(instantiation,[status(thm)],[c_717631]) ).

cnf(c_752353,plain,
    ~ equalish(multiply(v,a),X0),
    inference(global_subsumption_just,[status(thm)],[c_745584,c_51,c_49,c_53,c_757,c_945,c_2021,c_8961,c_128803,c_129801,c_134466,c_142823,c_147717,c_147718,c_149136,c_200370,c_200371,c_245678,c_245679,c_456765,c_537963,c_740958,c_740959]) ).

cnf(c_752359,plain,
    ~ equalish(multiply(v,a),multiply(a,v)),
    inference(instantiation,[status(thm)],[c_752353]) ).

cnf(c_752361,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_752359,c_471704,c_49,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : FLD028-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n025.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 22:52:13 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  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
% 168.58/23.23  % SZS status Started for theBenchmark.p
% 168.58/23.23  % SZS status Unsatisfiable for theBenchmark.p
% 168.58/23.23  
% 168.58/23.23  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 168.58/23.23  
% 168.58/23.23  ------  iProver source info
% 168.58/23.23  
% 168.58/23.23  git: date: 2024-05-02 19:28:25 +0000
% 168.58/23.23  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 168.58/23.23  git: non_committed_changes: false
% 168.58/23.23  
% 168.58/23.23  ------ Parsing...successful
% 168.58/23.23  
% 168.58/23.23  
% 168.58/23.23  
% 168.58/23.23  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 168.58/23.23  
% 168.58/23.23  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 168.58/23.23  
% 168.58/23.23  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 168.58/23.23  ------ Proving...
% 168.58/23.23  ------ Problem Properties 
% 168.58/23.23  
% 168.58/23.23  
% 168.58/23.23  clauses                                 37
% 168.58/23.23  conjectures                             4
% 168.58/23.23  EPR                                     18
% 168.58/23.23  Horn                                    34
% 168.58/23.23  unary                                   13
% 168.58/23.23  binary                                  6
% 168.58/23.23  lits                                    83
% 168.58/23.23  lits eq                                 2
% 168.58/23.23  fd_pure                                 0
% 168.58/23.23  fd_pseudo                               0
% 168.58/23.23  fd_cond                                 0
% 168.58/23.23  fd_pseudo_cond                          0
% 168.58/23.23  AC symbols                              0
% 168.58/23.23  
% 168.58/23.23  ------ Schedule dynamic 5 is on 
% 168.58/23.23  
% 168.58/23.23  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 168.58/23.23  
% 168.58/23.23  
% 168.58/23.23  ------ 
% 168.58/23.23  Current options:
% 168.58/23.23  ------ 
% 168.58/23.23  
% 168.58/23.23  
% 168.58/23.23  
% 168.58/23.23  
% 168.58/23.23  ------ Proving...
% 168.58/23.23  Proof_search_loop: time out after: 15097 full_loop iterations
% 168.58/23.23  
% 168.58/23.23  ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 168.58/23.23  
% 168.58/23.23  
% 168.58/23.23  ------ 
% 168.58/23.23  Current options:
% 168.58/23.23  ------ 
% 168.58/23.23  
% 168.58/23.23  
% 168.58/23.23  
% 168.58/23.23  
% 168.58/23.23  ------ Proving...
% 168.58/23.23  
% 168.58/23.23  
% 168.58/23.23  % SZS status Unsatisfiable for theBenchmark.p
% 168.58/23.23  
% 168.58/23.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 168.58/23.24  
% 168.58/23.24  
%------------------------------------------------------------------------------